diff --git "a/data/dm_maths/full_data/1248_11255.jsonl" "b/data/dm_maths/full_data/1248_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1248_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 2*v + 13*k + 20 = 18*k, -2*v - 5*k = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205966.\nAnswer: 2, 102983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 0. Let k = m + -1. Suppose 0 = 5*f + 14 + 6. What is the second biggest value in k, -1, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 3*h**2 - 36*h + 188. Give d(7).\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0846693 less than -11.8?\nAnswer: -11.8846693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**5\/15 - w**4\/4 - w**3 + 5*w**2 + 4*w. Let r(s) = 3*s**2 + 5*s + 5. Give 5*d(k) + 6*r(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/4 + -3 - (-8)\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + -1)*12\/16. Let l = 148 - 169. Let z = -24 - l. Which is the third smallest value? (a) z (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 10 = -5*q. Suppose -6820 = -395*d + 384*d. Suppose -4*v + q*y = -41 - 464, -5*v + 4*y = -d. Is v a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-10)*((-180)\/(-360))\/(3\/5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -420 divided by -1604\nAnswer: 105\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 764591638 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (75\/(-200))\/((-5)\/(-120))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfb when three letters picked without replacement from {f: 1, b: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c + 51 = -309 - 48 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**4 - s**3 + s**3)*(s + 0*s + s) - 5152*s**2 - 2 + 5152*s**2 + 29*s**5.\nAnswer: 35*s**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 3)*(4*z - 14*z - 4*z) + 6*z + z - 2*z.\nAnswer: -51*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -253185 by 50637.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 846685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, -3, -0.1658, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 858*g**2. Let r(a) = -9*a - 4. Determine h(r(n)).\nAnswer: 69498*n**2 + 61776*n + 13728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10970 - -10972. Solve -n*f = 5*b, -31 = -58*b + 61*b - 5*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50454 (base 6) in base 11?\nAnswer: -5003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 503 or 1?\nAnswer: 503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**3 - 2*y**2 - 10*y + 7. Let w be i(2). Suppose o + 4 = 3. Let f be ((-2)\/(-3))\/(0 + o). What is the third smallest value in 12, w, f?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -23 - -40 - (-36 - -11)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 908*s**3 - 569*s**2 + 6. Let z(l) = -2724*l**3 + 1704*l**2 - 17. Let o(f) = 17*r(f) + 6*z(f). Find the third derivative of o(v) wrt v.\nAnswer: -5448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1895404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -852842*q**2 + 118428 wrt q.\nAnswer: -1705684*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.3 + 139.3. Let n = -3 + t. Let q = n - 128.67. What is q rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - -1*(2 + -1). Let x be (6 - (0 - -3)) + v. Solve 0 = -5*a - 2*w - 7, 7 = -x*a + 2*w - 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.35 and -0.075.\nAnswer: 0.02625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, q: 2, i: 3}. Give prob of picking 2 o and 1 i.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19584 - 19579. What is the fourth biggest value in -0.2, 0.5, 0.082, 8, q?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4421692 to the nearest 1000.\nAnswer: 4422000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -214\/13 + 1519\/52. Calculate the common denominator of y and -43\/17.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 122\/(-15) + 14*8\/840. Let c(k) = k**3 + 8*k**2 + 2*k + 12. What is c(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5294 less than -7190?\nAnswer: -7187.4706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -4.3. Let g = -0.15 + -4.85. Which is the closest to -1\/2? (a) g (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x + 3*x - 3*x = 0. Suppose 14*l - 133 - 1617 = x. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15228*l**2 - 625*l**2 + 223*l - 224*l - 280*l**2 in the form y + d*l**2 + a*l and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1408 and 63133568.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15333681 divided by 15333681\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 129 + 191. Let j be 28\/3*((-365)\/u - -4). Let o = j + 5. Which is the second biggest value? (a) -4 (b) -5 (c) -2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1736012.32 rounded to the nearest 100?\nAnswer: -1736000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*v - 53*v + 22*v + v**3 + v**4 - 3*v**2 - 2 + 3*v**4 to the form b*v + r*v**3 + h*v**4 + g + s*v**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a786 - 13?\nAnswer: -a799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/2 (b) -1 (c) -0.5 (d) 1 (e) 20 (f) 6218\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441*b - u - 25 = -438*b, -5*u = 2*b + 8 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-12)*-1*((-327267)\/(-62))\/207.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*s + 5. Suppose 4*z + o = 16, 3*z - s*o - 11 = 12. Solve -3*y = -z - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -14*y. Let n(r) be the second derivative of 19*r**3\/2 - 235*r. Calculate n(f(u)).\nAnswer: -798*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -59. Suppose -2*b - f + h = -3*f, 0 = f - 1. What is the highest common factor of 77 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*g + 4273 = 40*g - 143 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 3\/2, 3\/5, -5, 1\/21, -116, 47\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132\/641 or 0?\nAnswer: -132\/641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*k**2 + 5*k**2 - k**2 - k**2 + 0*k**2 + 6*k**2 + (0*k + 3*k - 5*k)*(3*k + 0*k - 5*k) as v*k + d*k**2 + c and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xssswexsssrssxex. What is prob of sequence xees?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 + 1029*y + 2062.\nAnswer: -(y - 1031)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2051*b**2 - 320*b**3 + 655*b**3 + 276*b**3 + 3157*b**3.\nAnswer: 3768*b**3 - 2051*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oomggomootomkkt. Give prob of picking 1 t and 2 m.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35008\/49? (a) -1 (b) 4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 2*b + 6. Suppose 3*r - 17*o + 19*o - 6 = 0, -2 = -r + 3*o. Calculate t(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, r: 1, b: 3}. Give prob of picking 3 b and 1 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(3*y - y + 0*y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*o**6 - 29*o**5 + 316*o**2 + o wrt o.\nAnswer: -840*o**3 - 1740*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 181 + -34 + -262 - -63\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -570, -1129, -1674, -2205, -2722, -3225?\nAnswer: -3714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24557929*w**2 + 12272600*w wrt w?\nAnswer: 49115858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -3\/7 (c) 0.4 (d) 0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/30)\/((-63)\/(-30)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-323)\/(-95) - 4)*45\/594?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 577322 - -2?\nAnswer: 577324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 5*l + 90, -b - 4 = 4*l - 2. Suppose -4*c - b*h + 10*h + 3860 = 0, 2*c - h = 1915. Is c a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*f + 2*g, 4*f = -4*g. Suppose -4*y - y - 145 = f. Let k = -26 - y. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = 5*z - 0*z. Let u be (-6)\/10 + z\/(-25). Sort 5, -5, u in ascending order.\nAnswer: -5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 16620\nAnswer: 11\/16620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -1.5. Let g = -1 + 4. Let w = 2108.88 - 2109. What is the closest to w in -2\/7, j, g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33389 and 0.1?\nAnswer: -3338.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1767 and 1691.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iggiiigigiiig. What is prob of sequence iig?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -7 - -4) + (1 - 67) + 2313 + -2304.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o. Let h(f) be the second derivative of -f**3\/6 + f**2\/2 - 132*f. Calculate 2*h(n) - u(n).\nAnswer: 5*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y + 9. Let i = 25 - 18. Is 23 a factor of u(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -631333, -631335, -631329, -631309, -631269, -631203?\n\"Answer: g**3 - 2*g**2 - 3*g - 631329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20320 divided by 2.\nAnswer: 10160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 2914947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 11966 - 11966 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000300154056 rounded to five dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(-6))\/w*w)\/w)\/w**3)\/(w**7\/w**(1\/2)) assuming w is positive.\nAnswer: w**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -4580 and 0.11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 5*i - 5. Let x(v) = -9*v**2 + 5*v - 6. Let m be x(3). Let w = m - -65. Determine q(w).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5 - 160*f**4 + 20*f**3 + 1600*f**2 - 18*f - 1440 = 0. Calculate f.\nAnswer: -80, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqz when three letters picked without replacement from {z: 1, q: 1, u: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 4, 21, 56, 115, 204, 329, 496?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -101, -185, -303, -455?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2) + -2 + 1)**2 + -4 - (sqrt(10) - sqrt(640))\/(sqrt(20)*-3).\nAnswer: -19*sqrt(2)\/6 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 16*r**2 - 16*r - 20. Let q be y(17). Let t be ((-9)\/(-54))\/(q\/27). Which is smaller: -6\/13 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -563 times -0.5\nAnswer: 281.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 194 - 38 = 0. Let q = j - -46. Let u(y) = -5*y - 6. Let p(n) = -2 - n + 0*n - 3 + 4. Determine q*p(v) + u(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -225785*s**4*u**2 + 44*s**4 - 21*s**2*u + 3736*s*u**2 - u**2 wrt s.\nAnswer: -5418840*s*u**2 + 1056*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f. Let u(b) = 129*b - 2. Give n(u(h)).\nAnswer: 129*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -22 and -0.39 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p**3 + 17*p**2 + 319*p - 1507. Give c(5).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33642 and -0.5.\nAnswer: 16821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 15) to base 5.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/2592 and 127\/4860.\nAnswer: 38880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -110*g + 1029. Determine i(9).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540530828?\nAnswer: 2, 1571, 86017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 13 = -3*v, 4*v = 8*j - 3*j - 6. Solve -b + 3*y - 13 = 3*b, -j*b = -4*y + 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l - 30. What is the remainder when 335 is divided by u(-29)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2686 - (-2 - -12))*((-3)\/(-2) + -2) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/5)\/((-1)\/100*5). Suppose -o*f = -17*f. Suppose -4*q = -3 - 9. Solve 2*x + 4 = -q*r - f*r, -16 = 4*r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4007732 take away -0.0531004?\nAnswer: -0.3476728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 2*j - 4, -2*j = 4*b + 2 - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*n + 2, 2*y + y = -n - 2. Let m be 0 + -2 + (-4)\/y. Suppose 4*j + 2 = -m, 3*c - 10 = -5*j. Solve -21 + 6 = -c*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (28 + -24 - 56).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 6, -212750 in decreasing order.\nAnswer: 6, 2, 0, -212750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3111303200 (base 4) to base 12\nAnswer: 362968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 2:28 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 98443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -5. Find the first derivative of 3 - k - 3*w + 2 wrt w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2\/13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**4 - 14263*t**3\/3 - 39544*t**2\/3 + 3164*t = 0.\nAnswer: -1582, -3, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/94 or -26.338?\nAnswer: 5\/94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.098147 take away 92?\nAnswer: -92.098147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (159\/6)\/(((-222)\/(-1332))\/(5\/(-3) + 2))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2190\/110 - (-13)\/143. Solve -5*o - u = q, -2*o + 5 - 1 = -2*q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 245 and 234970631.\nAnswer: 1174853155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, i: 4, n: 1, z: 2}. Give prob of sequence in.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 6:40 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 42*r - 26. List the prime factors of k(4).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 0, 0.2, 1.2, -17, -30\/7 in decreasing order.\nAnswer: 1.2, 0.2, 0, -30\/7, -17, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1622*r - 10783 - 9591 - 41262 = 0 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32112 and 199808?\nAnswer: 1798272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1041 = 4*d - 171. What are the prime factors of d?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4 + 26196 - 65*d**3 + 249*d**3 - 26196 + 2116*d**2 + 2*d**4 = 0.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 1148922*x**2 - 39065949*x - 332067936.\nAnswer: 3*(x - 383008)*(x + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3005*t**2 + 12. Let m(j) = j**2. What is o(m(a))?\nAnswer: -3005*a**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71.3 + 47.2. What is q rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 2. Let i be x(-3). Let y be ((-4)\/6)\/((-12)\/162). Suppose 3*t - 2*s + 17 = 0, 6 = -4*t - 5*s - y. Sort -2, t, i.\nAnswer: t, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60126*j + 120253*j + 7*j**2 - 60127*j.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2 - -2 - 5) + 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 645520 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484076 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 7\/(7\/(-12))*(-11)\/(-22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.07 and 101914.\nAnswer: 101913.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 0*r**3 - 6 + 5 - r**3 + 5.\nAnswer: -r**3 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u - 6. Suppose -4*c - 2*m = -14, -c - c - 5*m = -3. What are the prime factors of f(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/8*2)\/((-15)\/60). Suppose 0*b = -2*l - 4*b - 6, 12 = l - r*b. Suppose -l = -4*t + 3*v - 0*v, 0 = t + v + 1. Solve t = -w + 2 + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9979, -9977, -9975, -9973, -9971?\nAnswer: -9969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**2. Let m(r) be the first derivative of -8*r**2 + r - 130. Let l(a) = a. Let f(u) = 5*l(u) + m(u). What is c(f(z))?\nAnswer: 363*z**2 - 66*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -550 divided by -110?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 2. Let t(m) = -m + 1. Let l(b) = -b + 6. Suppose -4*o - 3*h = h, -h + 5 = -4*o. Let p(g) = o*l(g) + 3*t(g). Give 3*j(f) + 2*p(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 104207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*u + 396 = -27*u. Which is smaller: u or 169\/10?\nAnswer: 169\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -123475 and -123475 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7414)\/(-30) - (-7)\/((-735)\/14). Calculate the greatest common factor of 26 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -57*x**2. Let p(i) = 11*i**2. What is p(g(y))?\nAnswer: 35739*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 107719 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 24303076107?\nAnswer: -24303076106.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(4\/3)\/c)\/c**1)**(-17) assuming c is positive.\nAnswer: c**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, r: 10}. What is prob of picking 3 r and 1 i?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, 9, 41, 95, 177?\n\"Answer: a**3 + 2*a**2 + 3*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 19812093 divided by -21\nAnswer: -943433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/8 and -5\/1843?\nAnswer: 14744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 4*q**3 - 26*q**3 - 10*q**3 - 2 + 4*q**3 to the form b*q**3 + m*q**2 + r*q + x and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116 + -39. Suppose 0 = 2*h - 5*h + 21. Calculate the greatest common factor of h and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2 - 948*d - 1888 = 0. What is d?\nAnswer: -472, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11640 + -141?\nAnswer: 11466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 93206, -13, -3, 2.\nAnswer: -13, -3, -2, 2, 93206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42.5 - -54. Let v = j + 2.6. Let g = 13.986 - v. What is g rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(45\/(-12)))\/((-2)\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10 + (-2)\/4*-4. Let u = -114 + 113. Let r be u + 22\/(-55)*50\/(-4). Calculate the highest common divisor of s and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/7, -46039237, 3 in descending order.\nAnswer: 3, 0.3, 2\/7, -46039237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**4 - 2586*y**3 + 14*y**2 + 18.\nAnswer: -24*y - 15516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14371742 divided by -653261\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 9:47 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -256.62 + 1.62. Let x = w + 254.6. Which is the second biggest value? (a) -4 (b) 2\/7 (c) x (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7709 - -0.2291. Which is greater: -234\/11 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8295*d**3 - 90*d**2 + 45*d + 90. Let f(r) = -377*r**3 + 4*r**2 - 2*r - 4. Calculate 90*f(x) + 4*v(x).\nAnswer: -750*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w. Let k(t) = -t + 11*t - 9*t. Let m(a) = -3*a. Let f(c) = -5*k(c) - m(c). What is f(l(j))?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -10*h**2. Let g(d) = -3*d**2 - 2. Let c(q) = -10*q**2 - 7. Let m(x) = 2*c(x) - 7*g(x). Determine r(m(o)).\nAnswer: -10*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*h**3 - 1421645*h + 58723185?\nAnswer: 33*h**2 - 1421645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 8*w + 3. Let g be u(-8). Suppose 8 = g*x - 4. Solve -4*i + x + 0 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 885 = -2*a, 4*h - 345 = 2*h + a. Suppose 0 = 5*t - c - h, 5*c + 24 + 59 = 3*t. What is the remainder when 213 is divided by t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*u = 94 + 299, 61 = i + 5*u. Calculate the remainder when i is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 + -0.9158. Round k to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, u: 4, l: 1, w: 3, q: 2}. Give prob of sequence uuq.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (18 + (-40)\/1)*1478\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -91*a**3 + a + 2. Let s be h(-1). Does 23 divide (12\/16)\/(1\/s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -56 - 11*y - 20*y - 5*y - 4*y**2 = 0?\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1004833?\nAnswer: 911, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 2*o**2 - o**3 - 3*o**4 + 2*o**3 + 9*o**4 + 7 - 3 to y*o**2 + u + l*o**4 + i*o**3 + r*o and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -5 + 4 + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-2) - (10\/(-4) + 3). Suppose 24 = h*d - 2*w, -d + 22 = -2*w + 6*w. Is 5 a factor of (d\/30)\/((-1)\/(-255))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1500828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w - w - 7 - 4*w. Let u = -304 + 291. What is the units digit of y(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -1. Suppose 2*j - l*j = -2. Solve -d + j*d + 5 = 4*x, x = -5*d + 17 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7810 - 7809.94997. Let u = x - 0.05. Round u to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267451246?\nAnswer: 2, 2237, 59779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13300 = -191*w - 513*w + 172*w for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 610172 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 546269138 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 2*d**2 + 10*d + 21. Let o be y(-3). Find r such that 0*r**4 - 1\/2*r**3 + 1\/4*r + 0 + 1\/4*r**5 + o*r**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -160 + 155. Sort 0, z, 6, 9 in decreasing order.\nAnswer: 9, 6, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.35431 + -0.458108. What is d rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -200222 - 1?\nAnswer: -200223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 - 17*b**2 - 6*b + 73. What is z(8)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7501, -18649, -37219, -63211, -96625, -137461, -185719?\n\"Answer: -3711*s**2 - 15*s - 3775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 < 193\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1512, -6052, -13618, -24210, -37828, -54472?\n\"Answer: -1513*i**2 - i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 - c**2 + c**2)*(11 - 1 - 1).\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*a + 31. Let s = 10 - a. Do s and 1\/17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 4 + 19 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + 439. Let g = -457 + r. Which is the second smallest value? (a) 1 (b) 1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -587*d = -292*d - 293*d - 56. Solve 454*x - d = 461*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90 + 106. Suppose -4*q = -t*q + 4428. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13952 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 218, 1700, 5726, 13568, 26498, 45788, 72710?\nAnswer: 108536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 189542 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*-1)\/(14\/(4368\/72)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/14146846 and -8\/21220269?\nAnswer: 42440538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16860248651 + -91.\nAnswer: 16860248560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(425) + (sqrt(425) - (sqrt(425) - (-5*(1 + sqrt(425)) - sqrt(425)) - sqrt(425))) - (1 + sqrt(425) - sqrt(425))*-5).\nAnswer: -20*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2726497 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 6*r**2 + r - 4. Let a be i(6). Let b(x) be the first derivative of 1\/10*x**4 - 2\/5*x**3 + 3\/5*x**a + 1 - 2\/5*x. Factor b(w).\nAnswer: 2*(w - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 4*s**5\/5 - 44*s**3\/3 - 36*s**2 - 32*s + 20. Suppose h(q) = 0. Calculate q.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -9*o**3 + 17*o**2 - 31*o + 7. Let g(r) = 17*r**3 - 36*r**2 + 63*r - 16. Let w(b) = 4*g(b) + 7*k(b). Factor w(y).\nAnswer: 5*(y - 3)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5172 divided by -1\nAnswer: -5172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 5, 3, 2 in ascending order.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*v - 3596 - 663 + 131 = 0. Let g = -8 - -11. Calculate the smallest common multiple of g and v.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 102465063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**6*x + 24*w**3*x**2 - 6*w**3 - 13*w**2*x + 30*w*x**2 wrt w.\nAnswer: -120*w**3*x + 144*x**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -3421\/160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 0.011, -3, -5, -36?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000316048 rounded to 6 dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 2*r + 68. Let p(m) = m**2 + 14*m - 24. What is the remainder when p(-18) is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 7:50 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(4)*3 - sqrt(27))\/(sqrt(576) - (sqrt(576) + sqrt(576)*6) - sqrt(576) - sqrt(576)).\nAnswer: -sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**3\/3 + 9*x**2\/2 - 3*x + 1. Let f be s(8). What is the third derivative of v**2 + v**f + 2*v**4 - 2*v**4 wrt v?\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -84\/11, -4, -2, -4\/9, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 - 65*u + 46. Let x be z(-36). Let p = x + 401. What are the prime factors of p?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/5 - 118\/120 and -53\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206941 a multiple of 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 57, 49, 37, 21, 1?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.5 - 17.2. Let k = x + -3.1. What is the nearest to k in -4, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*u - 6*u + 3 - 3. Solve -4*c + 101 - 93 = u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x. Suppose -5*t - 5*n + 7 + 33 = 0, 8 = -4*t + 4*n. Let z(v) = -t*v - 10*v - 8*v. Let l be 80\/36 - (-5)\/(180\/(-8)). What is l*z(j) - 9*b(j)?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-50)\/(-60) + 93\/18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -19.5. Let d be -3 - (0 + -526*2\/(-24)). Let r = d - -47. Sort i, -4, r in decreasing order.\nAnswer: r, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 6940*a**2 + 901998*a + 5162580.\nAnswer: 2*(a + 6)*(a + 129)*(a + 3335)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 0 = -4, 7*p + 2 = 21*p - 9*p - 2*o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-12) - (-42)\/9. Let b(i) = -2*i**2 + 4*i + 5. Let m(k) = 2*k**2 - 5*k - 6. Calculate j*m(g) + 5*b(g).\nAnswer: -2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*t**3 - 152 + 105*t**3 + 152 - 29*t**3.\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 4*f**2 + 4*f - 5. Let l be z(4). Let o = -6 + l. Suppose 67*y = 75*y - 16. Solve -8 = 3*r - 2*r - o*w, -r = w + y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/82*(-9)\/((-1674)\/31)?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 11. Let a be c(-15). Suppose 0 = f + 3*q + 293332, 0*q + 1173364 = -a*f - 3*q. Let p = f - -12893344. What is p rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13631 (base 16) to base 3.\nAnswer: 11000221002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 - (-2 + 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Suppose -4*g + 5*x - 12 = 0, -2*x = 3*g - 14 - 0. Solve -3*r - 9 = 0, g*f + y*f - 7 = -3*r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -220 + 2422\/11. What is the closest to 0.1 in 0.2, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 81, 133, 227, 375, 589, 881, 1263?\nAnswer: 1747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117)\/104 + 45\/40.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0.3, 1\/2, 0.2, 13 in decreasing order.\nAnswer: 13, 1\/2, 0.3, 0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1165 - -1162. Let j(f) = f**3 + f**2 + 60. Let l be j(0). Let b be (-1)\/(-4) + (-25)\/l*c. Sort 0.3, b, 12 in increasing order.\nAnswer: 0.3, b, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-35 - -10) - (15 + -54).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207, -2271, -5685, -10455, -16587, -24087, -32961, -43215?\nAnswer: -54855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -38*p - 2976. Let b be d(-78). Put -2, 195, b in decreasing order.\nAnswer: 195, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, d: 5, g: 2, v: 4}. Give prob of picking 1 e and 3 v.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 38\/6 + 9\/(-27). What is the biggest value in i, 3, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.111374 and -0.2.\nAnswer: -0.0222748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 2*t - 1. Let n(k) = k**3 - 11*k**2 + 12*k - 35. Let p(o) = -n(o) + v(o). Let m be p(11). What is the smallest value in -0.2, 6, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18437.\nAnswer: 103, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 742.9998718 + -743. Round w to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 79 + 31. Suppose 10*d + x = 15*d. Calculate the smallest common multiple of d and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116*d**2*o**2 + 6*d**2 + d*o**2 - 2*d*o + 2*o wrt o?\nAnswer: -232*d**2 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -2*d - 24, -s = -8*d + 6*d - 8 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Let d = 2 + -1.2. Let a = d - -0.2. Let g = -104\/15 - -33\/5. Which is greater: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31470685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -288, -1, 2 in increasing order.\nAnswer: -288, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 54.91696mg?\nAnswer: 54916.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*(sqrt(704)*-2 + 0 + sqrt(704) - -5*(1 + sqrt(704) - sqrt(704))))**2*-3.\nAnswer: -3840*sqrt(11) + 34992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3999382.48 to the nearest 100.\nAnswer: 3999400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 1 (c) -1 (d) 36749 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-9))\/((-3*(-24)\/(-54))\/(-2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k + 20. Suppose s - 8 = 3*s, -k*x = 5*s. Solve -1 = -2*f - f + n, -x*f = -n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2857288 divided by -12?\nAnswer: -714322\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -14. Suppose 3*i = 5*i + 8. Let o(s) = -s**2 - 5*s. Let w be o(i). Put w, 0, q in decreasing order.\nAnswer: w, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*y - 8, -4*f + 51 = 6*y - y. Let g(a) = a - 5. What are the prime factors of g(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - x + 2*x)*(3 + 0 - 1) + 2*x - x + 0*x + 0*x - 3*x + x + 6*x + 0*x - x + 131*x - 85*x + 135*x.\nAnswer: 183*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z = 25*z + 3474. Round z to the nearest 10.\nAnswer: -1160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*i + 5 + 2 = 0, -5*y + 35 = -2*i. Solve y*g + 25 = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 10*h**2 + 2*h + 2. Let w be x(-5). Suppose 0 = j + 5 - w. What is the greatest common divisor of 16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from foxrsossssfsofos.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 4 (c) 3.31 (d) -0.22 (e) -0.1 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2759 - 1830. List the prime factors of v.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1562)\/(-242))\/71*(-22)\/(-58).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7279976 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: Divide -17869 by -1.\nAnswer: 17869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*t - 10 = 3*g, 5*t = 4*g - 24. Solve -z + 2 = g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1272 and 75\/106424.\nAnswer: 319272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1140351251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*b + 2*t - 285, -t = -5*b + 445. Calculate the highest common divisor of 60 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + (sqrt(1050)*3)\/(4*sqrt(150)) + -3.\nAnswer: -3 + 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -8 - ((-16 - -7) + 30).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l = 4*b - 59, 0 = -4*l - b + 83. Suppose 60*u = 67*u - 42. What is the third derivative of 83*j + l*j**3 - 83*j + 2*j**2 - u*j**2 wrt j?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 25*f - 109. Let n be k(16). Calculate the highest common divisor of 21 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (2 - (-7 - 15)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2946, 1\/3, 5, -5?\nAnswer: -0.2946","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(76)*3)\/(6*-2*sqrt(4)) - (5*sqrt(190)*2)\/(1*sqrt(10)*4).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k - 2. Let r be f(-2). Suppose -2*m = -4*q + 16, -q + 23 = -m + r*q. Suppose 0 = 3*b - 69 + 60. Solve -2*a - m*a = -4*j, -b*a = 2*j - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 114190*r**2 + 228045*r + 7193340.\nAnswer: 5*(r - 22836)*(r - 9)*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 114*x + 68. Let f be a(-5). Let k = f - -672. What is the smallest common multiple of 7 and k?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3\/6 + 348*o**2 - 6283*o\/6 - 3485 = 0. Calculate o.\nAnswer: -2091, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -216 by 54.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 1 - 2 + 1 + 5*j**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-114)\/4)\/(-110*(-51)\/340 + -2 + -15)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 9*r**2 - r - 9. Let o be c(-9). Let d be 3\/((-9)\/(-12) + 0). Let h be 374\/14 + 6\/21. Solve 5*s - d*p - 10 = 0, o*s + 5*p + h = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/12)\/(2\/(-9)). Let q(p) = -2*p**3 + 25*p**2 + 21*p - 21. Let z be q(14). Let i = z - -380. Put w, i, -3\/4 in increasing order.\nAnswer: -3\/4, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/7)\/z)\/(z*z**(-7)*z))\/(z**(-6)\/z**(-2)) assuming z is positive.\nAnswer: z**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - o + 9. Let t be r(-3). Suppose 3 - 6 = -t*s, -3*s + 5688 = 5*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 636 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 12*t**2 - 13. Let m be g(12). Let n(u) = u**2 + 16*u + 33. Let i be n(m). Let d(j) = -j - 3. Calculate d(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 8 + 2*j + 5 + 0*j - 5 + j**2. Let a be r(0). Solve -w - a = -4*u + 1, -u = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13354000 to the nearest one hundred thousand.\nAnswer: 13400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22110 + -22107. Solve h - 3*f - 11 = -x*h, -3*h - 5*f = -30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(1 + 39\/(-6)). Let o be 0\/(-3) + 3 + -34. Let j = q - o. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 2*g + 3*l + 21, l = -3. Let w(r) = -3*r**2 + 18*r + 2. Let y be w(g). Put -3, -1, y, 0 in descending order.\nAnswer: y, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(84)\/sqrt(4))\/sqrt(3) + 3.\nAnswer: 3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -7. Let p = -20\/187 + 8\/17. Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 7*x**2 - 18*x + 5. What is n(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*s + 2, 3*s - 4*q + 14 = 4*s. Calculate the lowest common multiple of s and (-18)\/(-12)*((-26)\/(-3) - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**6\/30 - 3*l**3\/2 + 7*l**2. Differentiate a(b) with respect to b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, v: 2, c: 1, q: 1}. Give prob of sequence vqv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**3 - x**2 + 618 - x**2 - 1520*x + 762*x + 759*x as k*x + z*x**2 + r*x**3 + p and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(460\/25)*3\/(-10)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 343, 275, 209, 145?\n\"Answer: x**2 - 71*x + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - g**4 - 40*g**3 + 15 - 29 + (-5*g - g + g)*(-21*g**2 + 21*g**2 - 8*g**3) to k*g + h*g**4 + d*g**3 + o*g**2 + u and give h.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from ahxoxhxxoa.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*n**2 - 54*n**2 - 128*n**2.\nAnswer: -160*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6, 14, 32, 60, 98?\n\"Answer: 5*x**2 - 7*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2 - 68*d - 89. Calculate q(18).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*p - 5*c, -p + c = -3*c + 9. Suppose -3*u - 7 = -4*g, 0*g + p*g = 5*u - 3. Solve -y = -g*m + 17, 0 = -6*y + 2*y + 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g + 66 = 18*g. Let f be 2\/(-10) + g\/15. What is the third derivative of 7*x**5 + 4*x**2 - x**f + 0*x + 0*x wrt x?\nAnswer: 420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.9276 and 0.0878.\nAnswer: -0.25704328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -12*b - 295. Determine v(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 677555650?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 7*y + 10. Let t be l(-7). Let z(b) = -2*b**3 + 17*b**2 - 10*b + 5. Let q(w) = w**3 - 6*w**2 - w + 1. Let d(x) = -q(x) - z(x). What is d(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6332287 divided by -4?\nAnswer: 6332287\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27525495111672 + -14.\nAnswer: 27525495111658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10)*(-605)\/(-242)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmt when three letters picked without replacement from lllmlltltqtllqt?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 2*v - 3*v)*(4 - 3 + 0 + (4 - 3 + 1)*(3 + 1 - 3) - 3 + 4 + 0) to l + o*v and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -920, -1540, -2554, -3950, -5716, -7840, -10310?\nAnswer: -13114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 3) to base 6.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -10*y - 7. Let s be q(-2). Let z = -10 + s. Suppose 4*h = -5*d + 10 + 82, -z*h + 3*d = -42. What is the highest common factor of 90 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48186 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -64.67 (b) -2\/5 (c) -1\/3 (d) 59\/5 (e) -5 (f) -2\/21 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (464\/(-24) - -20)\/((-2)\/(-8)) and 47\/768.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-162237*d + 162237*d + 1257*d**2)*(0 + 3 - 1).\nAnswer: 2514*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.9 - 556.2?\nAnswer: -504.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 385 = 2437. Let u = z - -1999. Let p = u + -1046. Round p to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(3520)*-5)\/((-2*sqrt(55) + sqrt(55))\/sqrt(5)).\nAnswer: 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -123*y**5\/10 + 169*y**4\/6 + 267*y + 2. What is the third derivative of v(z) wrt z?\nAnswer: -1476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -163, -401, -819, -1435, -2267, -3333, -4651?\n\"Answer: -3*f**3 - 72*f**2 - f - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 11*v - 8. Let d be i(12). Suppose 3*o = -d*s + 9, -3*s - o = 2*o - 9. Suppose 5*m - 45 = -s*m. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -9)\/(2 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355355 + 355355 + 11*f.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**2 - 2*x + 2*x + (-5*x**2 + 2*x**2 + 2*x**2)*(-1 + 2 + 2) - 1 - 6 + 5 - x**2.\nAnswer: -7*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-5) + (-8)\/20. Let n(s) = 10*s - 6*s - s - d. What is the units digit of n(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 3*k - 7, -3*k - 17 = -10*b + 9*b. Sort b, -1, -2, 82 in increasing order.\nAnswer: -2, -1, b, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 212576*i**2 + 10829852*i + 59464160.\nAnswer: 4*(i - 53093)*(i - 56)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*m - 5, i - 3*i + m + 18 = 0. Let f = 1 + -6. Let g = f + i. Solve -s = t, 4*s + t - g = 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2819267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.785 + -5.215. What is the fourth smallest value in 0.1, 2, 0.32, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + sqrt(891) + 5 + 4 + -2 + 5 + (-6*sqrt(891) - sqrt(891))))**2 + 3.\nAnswer: -1728*sqrt(11) + 32335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - (84 + 3 + 78 + -89)?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 13 = 5*c, 3*g - 2*c + 9 = -7*c. Put -4, -10\/3, -3\/7, g in descending order.\nAnswer: g, -3\/7, -10\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1790640 - -1066640. Round y to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -8*c**2 + c - 50. Let n(f) = -18*f**2 + 2*f - 99. Let z(l) = 6*n(l) - 11*u(l). Find the second derivative of z(x) wrt x.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-16)\/(-18))*6\/90.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + u - 3. Let f = -3 + u. Suppose 3*j - 168 + 15 = f. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 4*l - 1. Let q be r(2). Suppose -2*d + i + q*i + 24 = 0, -i = d. Find the third derivative of -4*n + n**2 - n**4 + d*n wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129152190 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 464201412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14311241 - -3?\nAnswer: -14311233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 18 = -2*v, 4*h - 3*v - 21 = h. Calculate the remainder when 63 is divided by (-3)\/6 - (-27)\/h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001230284 to 6 dps.\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**4\/4 + 10891*d**3\/6 + 4*d**2. Let x be t(0). Suppose 4*p = 5*z + x, -12304 = -3*p + z - 4144. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-106)\/(-2)*(18\/(-4))\/((-48681)\/3606).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b - -12a1?\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, p: 3, j: 4, c: 10}. Give prob of picking 2 k and 1 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2*4\/(-231). Let f be (6\/352)\/(63\/(-1983)). Let z = f + g. What is the common denominator of z and 81\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4 + 26*b**3 + 209*b**2 + 484*b = 0. Calculate b.\nAnswer: -11, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 3*x + 3 - 4, 0 = 2*x - 2*c + 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -37, -43, -37, -19?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -17*h**4\/12 - h**2\/2 - 374*h + 1. Let i(w) = 7*w. Determine i(q(c)).\nAnswer: -119*c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -2. Suppose -2*r + q + 18 = 3*q, 0 = q + 4. Suppose -18*p = -r*p. Solve a = -p*d + 5*d - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235985 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/7 (b) -5290\/33 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 0, -0.3, -4, -5.34, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**5\/2 + 5*o**4 + 23*o**3\/2 - 68*o**2 + 14*o + 88 = 0.\nAnswer: -4, -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.55 + -0.15. Let i = 25 - 373\/15. Let y be 4\/(-6) + 2\/2. What is the closest to 2 in i, f, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33475, -66933, -100391, -133849, -167307?\nAnswer: -200765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-297)\/66)\/(-2*(-2)\/504). Let n = 567 + m. Which is smaller: n or -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 97*f - 9. Let y(p) = 33*p - 47*p - 33*p + 13 - 98*p. Calculate 7*g(z) + 5*y(z).\nAnswer: -46*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**3 + 20*o**2 + 24*o + 244. What is g(-7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 344, 363, 406, 473, 564?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.56414 minutes to microseconds.\nAnswer: 1773848400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 521, 1079, 1637, 2195?\n\"Answer: 558*x - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -28 - 6. Suppose 0 = -u + k - 3. Calculate the remainder when 123 is divided by u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7590.342 nanoseconds to minutes.\nAnswer: 0.0000001265057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) + (-555)\/9. Let q = h - -60. Sort 1, 2, q in ascending order.\nAnswer: q, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5815 + -5814. Which is the nearest to t? (a) 0.119 (b) 0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**3 - 8*h**3 + 43*h**3 + 4*h**2 - h**3 - 3 + 8*h**2 to the form d*h**3 + s + f*h + o*h**2 and give d.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2287740 is divided by 762570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 2*o + 3*o)*(41 - 19 - 5 + (6 + 10 - 8)*(3 - 3 - 1)).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2 - 2. Is o less than -10\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88144 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -1\/4, -0.3, 13\/125, 2\/11, -1\/23?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**(-11)*h*h\/(h**(-7)\/h)*h*(h*h\/(h\/(h\/(h*(h**14\/h)\/h))))**6 assuming h is positive.\nAnswer: h**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 108293541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150432 + 1024?\nAnswer: -145404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 take away -3.176?\nAnswer: -152.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -96923, -96933, -96943, -96953, -96963, -96973?\n\"Answer: -10*c - 96913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -136292809\/51785 - 53\/20714. Let j = 2639 + w. Calculate the common denominator of 54\/7 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 0*g - 53*g - 37 + 86 + 38*g + 23*g. Calculate l(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17658*s**3 + 3*s**2 - 427*s - 100373675?\nAnswer: 52974*s**2 + 6*s - 427","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-1)*((-220)\/(-66))\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/8*(-8)\/9. Suppose 3*x + 3 = 0, -3*i + x = -8*i + 14. Factor -2\/3*p**5 + 0*p + 0*p**2 + 0*p**4 + j*p**i + 0.\nAnswer: -2*p**3*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1582 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 446 divided by 3092.\nAnswer: 223\/1546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*u = -3*k + 24, -2*k - 2*u + 4 = 0. Solve 5*q + 5*n = 25, -k*q = 4*n - 20 - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -249 - -249. Suppose x = 18*j - 12*j - 852. Suppose -3*c = -0*d - 4*d + 135, 4*d = -4*c + 156. Calculate the remainder when j is divided by d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 - 9*a + 32. Let g = -33 - -27. Is z(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -469 - -492.1. Let i = -23 + w. What is the closest to -2\/3 in -2, i, -3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 733 + -728. Is c less than or equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118 - -108. Let h = c + 26. What is the remainder when 78 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-595)\/(-102) + 11)\/(30\/8). Which is bigger: g or 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18640752.11 to the nearest ten thousand.\nAnswer: 18640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30842987 is divided by 963843?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1134, -35, 0 in descending order.\nAnswer: 0, -2, -35, -1134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 311*t + 8. Is m(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*d - 443 - 1051 = -314*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*x + 17 - 35 = 0, 6 = -n - 2*x. Let w be n\/14 - (4 + (-31191752)\/(-56)). What is w rounded to the nearest ten thousand?\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 18\/19, -2.49, -2, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1678 - -223?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1710)\/(-1254)*(-55)\/(-40)\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 167571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d. Let r(v) = 20*v**2 - 5*v - 5. Let i(g) be the first derivative of -10*g**3\/3 + g**2 + 2*g + 177. Let k(t) = 5*i(t) + 2*r(t). Determine k(h(w)).\nAnswer: -250*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 3*q + 2*q = 2*n + 52, -2*n + 1 = -1 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c = 21*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 8 - 4 = 0, 0 = g + 5*j - 26. Let q(y) = -y**2 + 9*y - 2. Is q(g) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14511*s**2 + s + 14319266 - s - 14319266.\nAnswer: 14511*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4023\/(-180)*(-256)\/(-640) - -9.\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 717.9611 millilitres?\nAnswer: 0.7179611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z*z\/(z\/z**(-2\/11))*z*z*z)\/(z*(z\/(z\/z**(-14)))\/z)*(z\/(z**10\/z*z))**(1\/10) assuming z is positive.\nAnswer: z**(2191\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1\/6 (b) -26 (c) -0.4 (d) 1.9 (e) 5126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31857342862 + 355.\nAnswer: 31857343217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 divided by 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 106960?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 6*k**4\/17 + 14770*k**3\/17 + 4127608*k**2\/17 - 5549464*k\/17 - 325280 = 0?\nAnswer: -2140, -323, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 418043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1172435*a*j**2 + 666939*j**2 with respect to a.\nAnswer: -1172435*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -173 + 354. What is the remainder when l is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*n**4 + 20291*n**3 - 97673*n**2 + 1 wrt n?\nAnswer: -240*n + 121746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.67387 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2263363?\nAnswer: 17, 29, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of ((-7 + 48007)*-1)\/(2 - (4 - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9101503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 288*v**2 + 23*v - 20. What is the remainder when k(2) is divided by 108?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 792.47, 0.34, -0.1?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.68 - 0.32. Let y = -1.3 - 3.7. What is the second smallest value in 1, y, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 6*d**2 - d + 6. Suppose -3*n + 10*p = 5*p, -2*n + 4 = -2*p. Suppose -4*r = -n*o + 42, -o = -0*r + 2*r. What is y(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/846 and 73\/100422?\nAnswer: 4719834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/8 or 160.7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*i + 21, -3*i - 4*q + 2*q + 16 = 0. Let o be (17\/51)\/((-1)\/i). Is -22\/9 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2797.356 to 0 decimal places.\nAnswer: 2797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**5*s**(-2\/9)*s*s**(-2\/13)*(s*s**(-8\/5)\/s)\/s*s*((s\/(s**(-2\/7)*s)*s)**(-3))**(33\/2) assuming s is positive.\nAnswer: s**(-488279\/8190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3339299 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2 - 1 + 9 - 2*j. Let t(w) = -w. Let n be t(-4). Calculate f(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o - 2. Let z(j) = 9582*j + 84. What is z(n(r))?\nAnswer: -19164*r - 19080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 397695277?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 5*v**2 + 2*v + 2. Let z be g(2). Let i(c) = -c**2 - 9*c - 4. What is the units digit of i(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c - 20 = -34*c. Let p(b) be the third derivative of -1\/12*b**c + 0 + 0*b**3 + 0*b + 2*b**2 + 1\/60*b**5. Solve p(o) = 0 for o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -36*p**3 - p**2 + 2*p - 1. Let w be n(1). Let x = w + 33. Put 5, 3, x in descending order.\nAnswer: 5, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*y**2 + 39*y - 118\/3.\nAnswer: (y - 1)*(y + 118)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4944.517 millilitres in litres?\nAnswer: 4.944517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 430 = 46*o. Does 69 divide (-230)\/(o + 1233\/(-135))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1330.283 to the nearest 10.\nAnswer: -1330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002207 rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*q - 2*v, -5*v + 10 = -q + 31 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -98, -201, -306, -413?\n\"Answer: -o**2 - 100*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*i - 7. Let r(l) = -3 + 4 - 3. Let x(n) = n. Let g(j) = -r(j) + 2*x(j). Calculate g(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -55, -108, -147, -166, -159, -120, -43, 78?\n\"Answer: x**3 + x**2 - 63*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*w + 38*w + 16. List the prime factors of (-616)\/w*1*-6*1.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3015 + 132669\/44. Calculate the common denominator of m and -121\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 447\/786502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 152.9 * -0.9.\nAnswer: -137.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/6*(-18 - -21)*156307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -1 + 1 + q. Let v = 46 - 44. Suppose 14 = -v*f + 2. Calculate j(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190262977 to the power of 1\/2, to the nearest integer?\nAnswer: 13794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 510 and 9690?\nAnswer: 9690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*h**2*p**2 - 22*h**2*p*r**2 - 3*h**2*p - 3*h*p**2*r**2 + 13*p**2 wrt r?\nAnswer: -44*h**2*p*r - 6*h*p**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85)*-1 + sqrt(85))*3 + sqrt(85))*1*-1)\/((sqrt(200)\/sqrt(4)*-4 - sqrt(50))\/(sqrt(20)\/(sqrt(2) + sqrt(4)\/sqrt(2)))).\nAnswer: sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7695718655 from -0.84.\nAnswer: -7695718655.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -212 + 59?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1898 and 6656?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 26 - -3 - (-3373 - -3384)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 - 0) + -81*484\/(-66).\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11677*o + 1304964 - 121623 = -5193*o + 8495*o for o.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 88*w - 1737. Let v be r(-58). Factor 13\/6*l**2 - 49\/6 - 35\/6*l - 1\/6*l**v.\nAnswer: -(l - 7)**2*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14846 divided by 41\nAnswer: 14846\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 409 = -203. Calculate the remainder when y is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/1 - (-28)\/7. Are 21\/8 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621*f + 520 = 673*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 1511620.\nAnswer: -6046480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6843605.\nAnswer: 5, 17, 80513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251456911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 424\/1263 + -1\/421. Let n = 0 + -0.02. What is the second smallest value in k, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96136358?\nAnswer: 2, 48068179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 12 - 15. Suppose z*d - 420 - 323 = i, -498 = -2*d + 2*i. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12028*d - 396 = -11984*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-180)\/54)\/5)\/(10\/3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 4*n + 4. Let u be j(5). Let y(b) = 8*b + 1. Let p be y(u). What are the prime factors of (3 - (-1 - p)) + 13?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = q - 5*d, 2*q - 41 = -3*q - 4*d. Suppose -4*i = -3*r - 26, q*r - 13*r = -i + 13. Solve -2*a - 4 = 0, -a - a = -i*c + 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*t - 1 + 11, -t + 5*x = 43. Let l(o) = 2*o**2 - 3*o. Let c(f) = -5*f**2 + 5*f. Let u be ((-15)\/(-6))\/((-2)\/4). What is t*c(k) + u*l(k)?\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -758, -839, -920, -1001, -1082, -1163?\n\"Answer: -81*i - 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3913 - -7071. List the prime factors of t.\nAnswer: 2, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20035453 - -231?\nAnswer: -20035222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -159, -4, 3, 14, 63, -5 in descending order.\nAnswer: 63, 14, 3, -4, -5, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5 = 2. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 18.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -3. Suppose -40 = -1677*p + 1673*p. Let j = -3 + 5. Solve p*y + c = 3*v + 5*y, y - 12 = -j*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14126 + 13549 + 11985 = -661*h for h.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 4. Let f be (-2)\/(-3) + 87\/(-9). Let z be n(f). Suppose 2*h + z*x - 27 = -h, 3*h = -x + 15. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -8. Let x(r) = r**2 + 2*r - 3. Calculate x(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001349 rounded to five dps?\nAnswer: -0.00135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/9 - (-100)\/(-15). Let t be m\/(-2) + (1 - 2). Factor -4\/9 - 2\/9*b + 2\/9*b**t.\nAnswer: 2*(b - 2)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/((-1134)\/(-21)))\/(((-3)\/8)\/((-38106)\/232)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34e + de?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -z + 7. Let l(x) = -2*x**3 + 7*x**2 - 13*x + 35. Let k be l(3). Suppose 440 = z*w + 5*t, k*w + 2*t - 470 = 3*t. List the prime factors of w.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkkm when four letters picked without replacement from zzrrmkmzk.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 - -94. Let y = -144 + w. Calculate the remainder when y is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 230*p**2 + p. Let u(b) = 11*b. Determine c(u(h)).\nAnswer: 27830*h**2 + 11*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 1689821 = 1884202 - 849492. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**5 + 260346*d**4 - 5205816*d**3 + 8328912*d**2 + 20823312*d - 37481184 = 0. Calculate d.\nAnswer: -2, 2, 18, 86762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 117678.\nAnswer: 588390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 3002322311?\nAnswer: 3002322304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1214, 1210, 1206?\n\"Answer: -4*i + 1218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000351787 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -31247004 divided by -227?\nAnswer: 137652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 217.\nAnswer: -30\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**10*t)*t*t\/(((t\/t**(1\/7))\/t)\/t*t)*t**(-2\/3)*(t\/t**(1\/4))\/t*t*t*t assuming t is positive.\nAnswer: t**(-569\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 31*b + 20. Let i be (-5)\/(-4) + 2\/(-4). Put -7, b, i in ascending order.\nAnswer: -7, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*f - 5. Suppose -3*r - n = -27 + 13, n = -r + 6. Sort f, -4, -33, r in decreasing order.\nAnswer: r, -4, f, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1693046, 6774423, 15243392, 27099959, 42344130?\n\"Answer: s**3 + 1693790*s**2 - 745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 11*h + 35392 = 15*h. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2050430 (base 6) to base 9.\nAnswer: 162100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15, 25, 35, 33, 7, -55, -165?\n\"Answer: -2*q**3 + 12*q**2 - 12*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 - 9*s - 25)*(-248 - s + 10*s + 247) as u*s**2 + g*s + y and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115160 and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k**3\/3 + 2953*k**2\/3 + 18398*k\/3 + 856 = 0 for k.\nAnswer: -6, -1\/7, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1170 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14987786 a multiple of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1019770*w - 1263483?\nAnswer: 1019770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -255 - 258. Let s be (9\/(-12))\/(v\/24). Let i = -0.15 + 5.15. What is the third smallest value in i, 0.1, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n - 16. Let f be z(-8). Let v(d) = -2*d - 2. Suppose 0 = -5*r - q - 15, 0 = -2*r + 3*r + q + 3. Let w be v(r). Solve w*u + u + 10 = f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 95, 352, 743, 1238, 1807, 2420?\n\"Answer: -5*d**3 + 97*d**2 + d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + -36. Let n = 21.8 - f. Let h = -513 + 517. Put 0.2, n, -1.1, h in descending order.\nAnswer: h, 0.2, n, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142 - 79. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 879*t - 7017. Calculate the remainder when 200 is divided by j(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 - 82 + 97 - 679*n - 141*n)*(4*n**2 + 0*n**2 - 2*n**2).\nAnswer: -1640*n**3 - 38*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*l - 14 + 2, -5*t = -l + 12. Let c be -2 + 1 - 15\/l. Is c\/(-14) - (-14115)\/35 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 268158 by -62.\nAnswer: -134079\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, z: 3, x: 3, d: 4}. Give prob of sequence xzx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*m + 0 - 334 + 334 + 117*m + 2*m - 6*m + 5*m + (-5 + m + 5)*(-1 - 2 + 4) as n + x*m and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/2780 and -73\/13900?\nAnswer: 13900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 99, 301, 677, 1281, 2167, 3389, 5001?\nAnswer: 7057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 195607205 take away -8219.2?\nAnswer: 195615424.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 11 = n, -2*j - 4*n + 9*n = 11. Find the common denominator of (-207)\/(-20) + j\/12 and 73\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen fifteenths of a millennium in months?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.39482 - -0.09482. Which is smaller: z or -0.1111?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from meeem.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 16) in base 13?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x + 7. Suppose 564*l - 575*l - 121 = 0. What is u(l)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 14*x + 4*x)*(-14*x - 17*x - 46*x).\nAnswer: 770*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16791123 - -402.12?\nAnswer: -16790720.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.8756 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*o - 48 = 0, o - 68 + 20 = -4*s. Solve 4*k + s = -4*f, -k - 3*f = 4 - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14, 4, -55, 0.1?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + y**2 - 2 - 2*y**2 - 6*y**2 + 2*y**2 + (-3 - 1 + 5)*(0*y**2 + y**2 + y**2) + 9*y**2 - 4*y**2 + 9*y**2.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -115*y - 7660. Give u(-57).\nAnswer: -1105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 53\/121?\nAnswer: 53\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (6 + -2 - 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzzzzzhhzhhzhzzh. Give prob of sequence zz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90 + 56. Suppose -k = -18*p + 16*p. What are the prime factors of p?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 27 - 3 - 49 - 184*k to j + y*k and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1076219*v**3 - 40*v**2 - 875*v.\nAnswer: 6457314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -10434*p - 2626. Let w(a) = 302588*a + 76160. Let x(d) = 88*q(d) + 3*w(d). Differentiate x(n) wrt n.\nAnswer: -10428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s + 2. Let k(l) = -5*l - 5. Let g(d) = -4*d - 4. Let o(f) = 4*g(f) - 3*k(f). Let m be (1 - 2)\/(13\/(-52)) + -3. Determine m*x(v) - o(v).\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 477*r - 481*r + 16 = 0. What is the greatest common factor of r and 65?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 75 = -3*w, 4*w = p - 4*p + 100. Let g = 48 - 34. Calculate the remainder when w is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 1. Let z be d(-4). Let a = z + 7. Suppose 4*s = -5*g + 143, -a*s = -4*g - s + 102. What is the greatest common factor of 9 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27761 and 469.\nAnswer: -13019909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/2*8\/12 - 3. Let q be (-4)\/(-2)*2\/(-20). What is the closest to z in 4, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1245 greater than or equal to -1206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7250\/13? (a) 28 (b) 7 (c) 0.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 43327 divided by 11126\nAnswer: 43327\/11126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.0656 rounded to 1 dp?\nAnswer: 57.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1083*k**3 - k**4 - 510*k**3 + 946 + 2*k - 571*k**3 to b*k**3 + v + r*k + i*k**4 + y*k**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 1632?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -180.7 + 28.7. Let a = 157 + w. Put -5, 136, a in ascending order.\nAnswer: -5, a, 136","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 354065 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 321, 642, 963, 1284, 1605, 1926?\nAnswer: 2247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/138465 and -52\/2125?\nAnswer: 3461625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395895297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864)*1*6 + (sqrt(864) - (sqrt(864) - (sqrt(864)*-1 - sqrt(864))*4)))\/((sqrt(80)\/sqrt(2)*5)\/(sqrt(245) + sqrt(245) + sqrt(245) + 1*sqrt(245))).\nAnswer: -336*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*n*s**3 + 41422443*n - 1047531*s**3 with respect to s.\nAnswer: -57*n*s**2 - 3142593*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = w - 6. Suppose 4*s - 2*g = -4*g + 20, 2*s - g = w. Let d**2 - 5 + 3 + s*d**2 - 4*d**3 = 0. Calculate d.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 12, 209, -26, -3, 3 in descending order.\nAnswer: 209, 12, 3, -3, -23, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 5, u: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10 + 13\/5. Let n(i) = -i**2 - 6*i + 6. Let c be n(-6). Suppose 0*y + 3*q = -a*y - c, -5*y + 2*q - 10 = 0. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b - 5. What is i(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 885*t - 60901 = 61564 - 49895 for t.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*4\/(-18) - 4\/(-12). Calculate the common denominator of (39\/(-198))\/(q + (-21)\/24) and 55\/27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*((-2)\/4 - 0). Let i = -333 - -334. Let q be (-4 - (-1 - 0))\/1. Put i, q, d in descending order.\nAnswer: i, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 7 + 5 + 3 - 3*y. Let f(m) = -m**3 - 2*m**2 + 3*m + 18. Let g be f(-3). Let l = -19 + g. What is i(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/(z**(-14)\/z)*z**(-4\/7))\/(z**(-2\/9)*z*z**(-5)))**(-12) assuming z is positive.\nAnswer: z**(-5456\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5043, -1\/50, 32 in decreasing order.\nAnswer: 32, -1\/50, -5043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/4)\/((96250\/165)\/50)?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150240999 divided by -47.\nAnswer: -3196617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 11*f + 4*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7\/((-140)\/8)*7410\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 0*a**5 - 6*a**2 + 0*a**4 + 0 - 7\/40*a**6 + 0*a + 19\/6*a**3. Differentiate c(g) with respect to g.\nAnswer: -63*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1dc - 4?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -82. Let a = 3672848912.00000086 + -3672848868. Let n = k + a. Round n to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 11:12 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-45))\/(16*4\/6936). Let s = -35\/3 - r. Solve 0*u**2 + 3\/8*u - s*u**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*j + 93*j - 16 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1664*l + 1605*l - 394*l + 1230*l + 217*l.\nAnswer: 4322*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/3 = 22143233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 5*a + 5. Let d be g(-4). Let j be (3 - (-11)\/(-33))*(-2)\/(-12)*-1. Which is greater: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/571 + 15385\/4568. Which is greater: 4 or j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/46 and -11\/56.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.3. Suppose 5*w = 4*w. Suppose 5*l - 15 = -w*l. Put l, -4, d in ascending order.\nAnswer: -4, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 + 268 + 247 = 57*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 5:08 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325 + 2*f**2 + 332 + 475*f + 1159*f - 657.\nAnswer: 2*f**2 + 1634*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 0*r + 1\/12*r**4 + 3 - r**3 + 6*r**2. Suppose 0 = -4*w + 9*w - 25. Calculate c(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*i + 2. Let h(n) = 5*n + 15. Let o be h(i). What is the units digit of (-7)\/14 + o\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95531.5 weeks in milliseconds?\nAnswer: 57777451200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 9*s + 9. Let m(y) = -y**2 + 5*y - 5. Let x(i) = 11*m(i) + 6*q(i). Suppose -136*b + 82*b + 108 = 0. Calculate x(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s. Let n = -12 - -17. Let d(q) = -6*q. Let p(u) = -4 + 4 - 7*u. Let y(w) = n*p(w) - 6*d(w). Give y(j(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**4\/2 - 3*x**3 + 2*x**2 + 3*x - 8. Let w be u(3). Is 2\/(-4)*2*(-437 + w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102042.2 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -10\/3*k**4 + 1\/15*k**5 + 200\/3*k**3 + 19*k**2 - 7*k + 0. Solve j(d) = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-166)\/(-114)*16*(-17)\/(-9792) and -51\/10.\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 4.6. Let q = t + 3. Suppose 5*h + 276*u - 10 = 274*u, -3 = -2*h - u. What is the third smallest value in q, -2\/9, -4, h?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -98 + (-2 - 1\/(-1)). Let n = g - -197\/2. Suppose -s = p + s - 2, -s + 2 = 0. Which is the third biggest value? (a) p (b) -0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32557\/8684 - -2\/2171. Find b, given that -a*b - 3\/8 - 27\/8*b**2 = 0.\nAnswer: -1, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*i = 0, -i = -b + 1 + 1. Let v(c) = c + 6. What is the least common multiple of v(b) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0*h + 5 + 0 + h as l*h + u and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 105610*-0.14\nAnswer: -14785.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 8*p**2 + 6*p - 3. Let l be c(-7). Suppose -15 = s - l*s. Suppose -6*k + 88 + 242 = 0. Calculate the greatest common divisor of s and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -336, -300, -276, -270, -288, -336, -420, -546?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12291?\nAnswer: 3, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 34*h + 596. Calculate b(-16).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2306494*x**4 + 1072995*x**2 wrt x?\nAnswer: -55355856*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28712 (base 14) in base 7?\nAnswer: 565022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 4. Let k(q) = 7*q - 18. Let w(o) = -13*o + 35. Let d(p) = 11*k(p) + 6*w(p). Let g be d(6). Let x(a) = -a - 2. Give g*h(i) - 13*x(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -145, 4, -43439, -4.\nAnswer: -43439, -145, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 13223182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5*z**4 + 128\/5 + 408\/5*z**2 + 608\/5*z + 98\/5*z**3.\nAnswer: 2*(z + 4)**3*(4*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 2*c**2 - 89*c - 52. Calculate b(10).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 31 - 124 = -m, 5*m + 2*o = 511. Is ((-10)\/4)\/5 - m\/(-2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25965375*s - 8038829?\nAnswer: -25965375","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 266)*(-12)\/(-8). Let b = y + 1043. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j**3 + 2*j**2 - 1. Let s be u(-1). Suppose 2*w = -s, -2*w + 3*w = 3*v - 382. Calculate the greatest common factor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/3, 24, 3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 8. Let o(p) = 1. Let y(j) = d(j) - 4*o(j). Let n(i) = -12. Let l(w) = 5. Let b(h) = 5*l(h) + 2*n(h). What is 3*b(f) - y(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000028069981 to six decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.421 and 0.8.\nAnswer: 0.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452127 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 461.586 + -462. Let v = 3.744 + h. What is v rounded to one decimal place?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 + -3507371?\nAnswer: -3507406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a8 - 21288?\nAnswer: -21090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**4\/3 + 3363*a. Let j(i) = 1576*i. Give j(h(s)).\nAnswer: -6304*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4224 and 3872.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*f**2 - 68*f**2 + 129*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 439218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/4)*(m*m**(-12))\/m assuming m is positive.\nAnswer: m**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94725 is divided by 23669?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -283*m*q**2*z - 105*m*q**2 - 2*m*q*z - 6*m*q + q**2*z with respect to z.\nAnswer: -283*m*q**2 - 2*m*q + q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s. Let d be (-4)\/(-10) - (-84)\/15. Suppose -d*h + 2*h + 8 = 2*b, 4*h - 5*b - 8 = 0. Let f(t) = t - 2*t + h*t. What is w(f(u))?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 1. Put 5, 2, 3, i in ascending order.\nAnswer: i, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5569935 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2041977 to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 131.0831 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -20. Let w = -10 + d. Let i = 12.00064 + w. Round i to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2835 by 21.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21612038 or 15\/4?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - c**5 - 4 + (4*c**4 - 4*c**4 - c**4)*(-2*c + 2*c + c) + 170*c**4 - 25*c**5 - 170*c**4.\nAnswer: -27*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23559416 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3512505 divided by 3.\nAnswer: -1170835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -1\/6*n**4 - 1\/3*n**3 - 1\/2*n**2 + 3\/10*n**5 + 2*n + 0. Calculate w(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5 = -q, 0*q = 4*q + 16. Let d = -4 + 9. Suppose -4*l = 5*p + 11, 4*p = -d*l - 8 - 8. Sort l, u, -3 in decreasing order.\nAnswer: u, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -12. Suppose 2*k + 8 = -4*c, 3*c + 0 - 1 = -f*k. Suppose 0 = 3*l - 3*m, 5*l - 3*m + 0*m + k = 0. Is l >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4)*(-3*s**2 + 2*s**3 + 3*s**2)*(5*s**2 + 0 + 0 + (-2*s + s + 0*s)*(s + 0*s + 0*s)).\nAnswer: 32*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4))**(-2\/115)*((((((n**1*n)\/n)\/n*n)\/n)\/n)\/n)**(-8)*(n**(-1\/2))**(7\/2)\/(n**(-1\/13)*n**(-2)*n) assuming n is positive.\nAnswer: n**(91681\/5980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**3\/6 - y**2\/2 - 31*y. Let r(h) = h**3 - 8*h**2 - 8*h - 15. Let i be r(9). What is g(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 3:52 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.5 + -1286.\nAnswer: -1266.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000110 (base 2) in base 3?\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -2. Calculate the highest common divisor of 12 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77250 - -157669. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1733.\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 157270, 314527, 471776, 629017, 786250, 943475, 1100692?\n\"Answer: -4*x**2 + 157269*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llla when four letters picked without replacement from {a: 5, l: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**6*s*s\/(s**(-6)\/s*s))\/(s\/(((s*s**0)\/s)\/s*s))**(-2\/59))\/((s**(2\/3))**(-39\/2)\/((s*s*s**(1\/5)*s*s)\/(s\/((s*s**(-2\/7)\/s)\/s)))) assuming s is positive.\nAnswer: s**(61843\/2065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, w: 17}. What is prob of picking 4 w?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-139*c - 2 + 76*c + 72*c)*(1 - 1 + c) as y*c**2 + u + q*c and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2187) + 2 + -4 - (sqrt(2187) - (5 + 1 + sqrt(2187))) - (-4 + 0 + sqrt(2187))*1)*-5)**2.\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3071145?\nAnswer: 3, 5, 7, 11, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.62191ml to litres.\nAnswer: 0.00962191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n - 6. Let q(x) = x. Let b(f) = a(f) - 5*q(f). Let h be (1 + -1)\/(3 + -2). Give b(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44176 is divided by 107?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 9*l - 13. Suppose -2*b + 4 - 16 = 0. Let c be u(b). Solve 4*t + 7 = -c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -2324*f + 2299*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + -21 - (1 + -9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360666 and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**1*j*((j\/j**(-1))\/j)\/j*j\/j**(2\/9)*j**(-4) assuming j is positive.\nAnswer: j**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 3*r + 16, m + 0*m - 3*r = -4. Let d be 14*(-2 + 5\/2). Suppose 2*j = 3*w + d + 4, j - 2 = -2*w. What is the closest to -1 in -0.2, w, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**4*d - 3*b**4 + 27*b**3*d - b**3 + 36*b**2*d + 8*b**2 wrt b?\nAnswer: -72*b*d - 72*b + 162*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 12*s + 37. Calculate b(2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**3 + 36*g**2 - 2*g - 30. Determine s(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, i: 14, e: 5}. What is prob of sequence qei?\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -144, -16, -187, 1\/4, 2?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59771?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g + 17. Let w be a(7). Let s(v) = v**3 - 2*v**2 - 2*v - 6. Let x be s(w). Is 23 a factor of x + 178*4\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5094156 to the nearest integer?\nAnswer: 2257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -118*x + 2. Let f(s) = 2*s**2. Give f(w(a)).\nAnswer: 27848*a**2 - 944*a + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 16 - 136. Let w be (-3 - 5\/(-2))*g. Solve w = 3*f - f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**5\/15 + 3*c**4\/8 - 3*c**2. Let p be q(-6). Calculate the highest common divisor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1170\/29 and -40 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -290 or -4926\/17?\nAnswer: -290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 580980198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -2232, -5, 2 in decreasing order.\nAnswer: 2, -1, -4, -5, -2232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/500 and 19\/213.\nAnswer: 106500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y. Let z(m) = m. Let h(f) = 4*g(f) - 7*z(f). Calculate the least common multiple of 18 and h(4).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/126 and 103\/84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 548, 1114, 1698, 2300?\n\"Answer: 9*w**2 + 539*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/49194 and 13\/132.\nAnswer: 1082268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 15*j - 3*m = 43, 4*j + 5*m = 121. Suppose j*w - 38*w = -8. Find r, given that -6\/7*r - 2\/7*r**3 + 6\/7*r**w + 2\/7 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 1. Let y(r) = -4454. Let z(c) = 121. Let a(g) = 6*y(g) + 221*z(g). Give -a(h) - 17*v(h).\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 21*z**2 + 19*z - 11. Let j be i(-20). Suppose 5*n + 156 = j*n. Let m = n - 14. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 182, 277, 384, 497, 610, 717, 812?\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5435*b = 99896 - 670571 for b.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101659933.\nAnswer: 101659933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.615 - -2.223. What is the second biggest value in -2, -4, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -83123, -166256, -249393, -332534, -415679, -498828?\n\"Answer: -2*y**2 - 83127*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 394*k**2 + 494*k + 348596. Give p(-393).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7480, -28604, -63370, -111778, -173828?\nAnswer: -249520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(704) - (-2*sqrt(99))\/sqrt(9).\nAnswer: 3 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-608)\/(-114))\/((-12)\/(-9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-42)\/n**(1\/14) assuming n is positive.\nAnswer: n**(-589\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204 divided by -1.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 7*p - 35 = 0, 2676*p - 10 = l + 2678*p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -9*p. Let d(f) = -8*f - 1. Let x = -3636 - -3643. Give x*d(g) - 6*b(g).\nAnswer: -2*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 136 and -2?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 290 and 44446966?\nAnswer: 222234830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*u + 32538 = -609*u - 13182 for u.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445490*k + 1 - 4 + 445508*k + 3.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*s**4 - 10*s**3 + 71*s**2 + 3*s - 1?\nAnswer: -1176*s - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 467 + 1?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1505 by 35.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = 1. Let q = a + 3. Let s(w) = -4*w + 2*w + q*w. Let h(i) = -i. Determine h(s(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.0211818\nAnswer: 0.105909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + 6*(-3*(2 + sqrt(68) - sqrt(68)) - (sqrt(68) + 0 + -4))**2 + 3 + 4.\nAnswer: 48*sqrt(17) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r. Let o(x) = 91481*x. Calculate o(c(h)).\nAnswer: 274443*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2 - 8*y + 11. Let u be q(8). Let a be (-2)\/(-4) + u\/14. Is 5*(5 + -3 - a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 43592980 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 476\nAnswer: 4284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51924, 103860, 155796, 207732, 259668?\nAnswer: 311604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 280 + -280. Let x(k) be the second derivative of 1\/15*k**6 + 0*k**3 + 0*k**5 + g*k**2 + 3*k + 0 + 1\/2*k**4. Find the third derivative of x(p) wrt p.\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -22. Calculate the remainder when l is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2525 is divided by 47.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1110010011110111011 (base 2) to base 8\nAnswer: -1623673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(4\/27)*c)\/c**(1\/6) assuming c is positive.\nAnswer: c**(91\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 7:37 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77736 and 1312.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 1\/20 (c) 5 (d) -16 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/4)\/((19695\/(-808))\/195)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*p + 28*p + 10*u + 21 = -21*p + 5*u, 0 = -6*p - 2*u - 26 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 60 = 12*i. Solve -3*a = 2*a + i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**3 + t**3 - 5*t**3)*(8 - 3*t - t + 6*t) in the form d*t**3 + w*t**2 + y*t**4 + s*t + i and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 9*g - 8. Let h = -51 - -41. Calculate the smallest common multiple of u(h) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 10*f**2 + 207*f - 305. List the prime factors of n(30).\nAnswer: 5, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3296489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 57*u + 53. Let q(b) = -14*b - 13. Suppose 0 = -7*l + 3*l. Let p = l + -9. Let h(f) = p*q(f) - 2*r(f). What is the derivative of h(z) wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - c - 18 = 0, -r + 2*r + 4*c = 13. Let d be ((-4)\/((-20)\/r))\/((-11)\/(-55)). Solve a - 3*i = i + d, -a = i + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 714741*b**3 - 621615*b + 3 wrt b.\nAnswer: 4288446*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o. Let i(l) = -l**2 - 3. Let r(s) = 1. Let b(f) = -i(f) - 6*r(f). Let y(m) be the first derivative of b(m). What is y(x(h))?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.239 + 11.239. What is the nearest to -8 in -7\/3, 0.4, p?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/46702 and -39\/39393137.\nAnswer: 78786274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*j**3 + 15*j - 15*j.\nAnswer: 21*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/23176 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 5*p + 4. Let o be j(-5). Solve 4*t = o*g, 0 = 2*g + t - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3177*-9\nAnswer: 28593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -139*a + 1132. Let h be k(8). Solve 43 = -h*s - 57 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2216217 or 2216226?\nAnswer: 2216226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 3361*l**6\/120 - 19*l**5\/10 + l**3\/3 - 514*l**2. What is the third derivative of b(c) wrt c?\nAnswer: 20166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 16.6, -36, -2, 2 in descending order.\nAnswer: 16.6, 2, -0.1, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, s: 3, i: 3, g: 1, u: 2, v: 4}. Give prob of sequence usg.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13853771, 13853764, 13853751, 13853732?\n\"Answer: -3*f**2 + 2*f + 13853772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than 3232\/1643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + 1*sqrt(104)*-4 + sqrt(104) + sqrt(104))*-2)\/((sqrt(200) - (sqrt(200) + sqrt(200)*-2))*5)*-2.\nAnswer: -2*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*o - 5579, 0*o + 11113 = 4*m + 3*o. What are the prime factors of m?\nAnswer: 2, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 972708057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9813258, 19626512, 29439766, 39253020?\nAnswer: 49066274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*f - 1)*(738*f**3 + 615*f**3 + 183*f**3) + (-f**4 - f**4 + 0*f**4)*(-2 - 4 + 5) as m + l*f**2 + q*f**4 + j*f**3 + u*f and give q.\nAnswer: 3074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3482 - 8*(-3 + (-49)\/(-14)). Calculate the highest common factor of r and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -474 + 482. Find the first derivative of -164 + 4*h + s*h + 29 - 62 wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 626827 and 77?\nAnswer: 48265679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (10 + -12) - -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826331581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11893874.406878 + 11893853. Let d = m + 16.50682. Let v = -4.9 - d. Round v to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 11, b: 3}. What is prob of sequence bccb?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 38, 64, 100?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 38199876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -2\/3 (c) 5 (d) 1.2 (e) -4056\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -8, -k + 5*k - 3*l = 0. Let r be (k\/(-6) + 0)*-4. Let a(j) = 24*j**2 + 2*j - 1. Is a(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -77 (b) 0.1 (c) 4 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, -2, -10, -9 in increasing order.\nAnswer: -10, -9, -2, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and -0.0881681.\nAnswer: 1.1461853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 5 = -5*l. What is the closest to -0.1 in 4, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39576 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13531010279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4*m = 4, -6441*h + 3*m + m - 24 = -6432*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.19, 0.2, 0, -0.0004?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 658*r - 336*r - 322*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500) - (sqrt(500) + sqrt(500) + (sqrt(500) + -1)*5 + sqrt(500))) + (sqrt(500) - (-1 + sqrt(500)))*5 + sqrt(500) + -1)**2 + 1)*4.\nAnswer: -4320*sqrt(5) + 72328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 + 2 - 4 + 24*i**2.\nAnswer: 17*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 459*z**2 - 455*z**2 - 7 + 3*z**4 + 1 - 6*z**3 wrt z?\nAnswer: 72*z - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*c - 6*c + 63*c - 1725 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 62 - 202 = 0. Suppose -5*s + f = -9. Solve 4*k - s = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98 + 32. Let x be g\/(-14) - (-10)\/35. Calculate the highest common factor of 10 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*-2 - -2*sqrt(153)) + (-1*sqrt(68) - 3*sqrt(153)) + 0.\nAnswer: -15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24709 (base 16) in base 12?\nAnswer: 72461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 168 = -3*d, -3*r - 33*d + 28*d = -60. Solve 10 = -2*c + 4*b, 5*c - 7*b + 8*b = r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004332 to five decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-68)\/(-84) - 1)\/((-2)\/3). Let t = 14 + -5. Let s = t - 8.5. Which is the second biggest value? (a) s (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -1\/120*p**6 + 0 - 1\/12*p**4 + 0*p**3 + 1\/30*p**5 + 13*p**2 + 0*p. What is m(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7440 and 1152?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 620.60816 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 16) to base 3\nAnswer: -201200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 20*b + 4. Let o be m(6). Let n = o - 106. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -15. Let u(q) = -q. Let y(v) = -28*v**2 - 42*v - 53*v**2 + 2 - 6. Let w(g) = n*u(g) - y(g). Suppose w(t) = 0. Calculate t.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**3 + l**2 - 2*l + 1. Let x be r(1). Let f be -4*27\/6*-2. What is the highest common divisor of x and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 p, and 2 z when four letters picked without replacement from yhoopzzzyo.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**3 - 4*b**2 - 26*b - 20 = 0.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4, 3*j + 17 + 53 = 4*h. Let y = h + -13. Solve -y*b + 3 = -4*b - 3*w, -b - 18 = 5*w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*k**2 - 556960*k + 495104 = 0. Calculate k.\nAnswer: -15472, 8\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + 16367 - 16367.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 p when three letters picked without replacement from puuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 11*g**2 - 12*g + 24. Let j be -10 + 1 + 8 + 11. Calculate h(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 0 - 5. Let m be 1 - (-2 + (-1 - f)). Suppose -60*v = -74*v + 84. Solve -3*k - i - 6 = 0, 0*i + v = -3*k - m*i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1581 - -1381. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5098719269.93 and 304.\nAnswer: 5098719573.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1020140200410 - 0?\nAnswer: 1020140200410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 10:09 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75.202 + 20.83. What is k rounded to 0 decimal places?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**2 - 2*o - 1. Let g be p(-1). Let d be (4\/24)\/(1\/g). Let t = -1 - -1. What is the closest to 1 in -1, t, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-12)*(-6)\/(-20). Suppose -55*n = -65*n + 30. Solve q + 3\/8*k**4 - 1\/2*k**2 - 1\/4*k + 1\/4*k**n = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -358*p + 346*p + 6864. What are the prime factors of p?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybypyybyykjdyyy. Give prob of sequence kd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, j: 11, u: 1}. What is prob of picking 4 w?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**6\/120 - 7*g**5\/60 + g**4\/8 + g**3\/6 - 3235*g**2. Let u be 1*(4 - 2) + 2. Let i be 44\/7 + u\/(-14). Calculate o(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2576310767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 942, 1876, 2796, 3696, 4570, 5412, 6216, 6976?\n\"Answer: -z**3 - z**2 + 944*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x + 9. Let v be q(0). Suppose 14 = -8*o + v*o. What is the smallest common multiple of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 390 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 666 and 1650126?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 843*l - 227*l - 389*l.\nAnswer: 227*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1367.03 and 629.\nAnswer: -738.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*j - 649*j - 216 = -308*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y + 2. Let t(g) = 4*g + 1. Determine 2*t(a) - 3*z(a).\nAnswer: -a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 27. Let u = j - -13. Let w be (1 - (-4 + -4)) + -4. Solve -u - 1 = -c - 5*a, 34 = -w*c + 3*a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*z + 4 = 0, 2*z - 4 = -6*k + 4*k. Suppose 0 = k*n + j - 1893, n + 15*j = 12*j + 949. What are the prime factors of n?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.7 (b) -16 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 31, 14, 159 in decreasing order.\nAnswer: 159, 46, 31, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 11 - 14. Let t = u - 21. Do t and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-9)\/f*(f*f*f**(-9\/5)*f*f)\/f*((f\/f**(-3))\/f)\/f**(1\/6) assuming f is positive.\nAnswer: f**(-149\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37829698\/27 or 1401099?\nAnswer: 37829698\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.30573 kilometers to millimeters.\nAnswer: 96305730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (41 - 39) + (5 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -19*l - 3. Let t(x) = -6*x - 1. Give -6*k(i) + 17*t(i).\nAnswer: 12*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -255203, -0.1, 68.3?\nAnswer: -255203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 311\/3 + 70\/(-14). Let k = w - 100. Let o = 0 - -0.2. Sort 2, k, o.\nAnswer: k, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1331*i**3 - 3*i**2 - 6*i - 3. Let k(t) = 143750*t**3 - 325*t**2 - 650*t - 325. What is 3*k(m) - 325*o(m)?\nAnswer: -1325*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((3*-82)\/(-2))\/((-5964)\/(-7952)). Solve 0 = -t - 5*k + 12, -159*k = 5*t - b*k + 30 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 208, 252, 306, 370?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000049508 rounded to 7 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*h - 106*h - 225 = 0. Let b(r) = -11*r - 16. Calculate the remainder when b(-8) is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4924 (b) -3 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96319419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 11900 = -6*w - 3*m, -3*w - 3*m = -7140. Suppose 3*q = -q + 4*y + w, -2*q - 2*y = -1178. Does 57 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 105 = 5*n - 11*b, -71 = 3*n - 5*b for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-65)\/(-14)*8\/10 and (-2)\/(-26) + (-60636)\/2418.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -29 - 18*c + 14*c + 2*c. Let z be r(-15). Let l(t) = 4*t - z - 5*t + 2. What is l(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 6447693.\nAnswer: 12895386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9773136 by 54.\nAnswer: -180984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + 2*sqrt(4752))\/(sqrt(36)\/sqrt(3)).\nAnswer: 25*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*w + 1762 = 0, 3*m - 3*w + 912 = 6234. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3520 - 16263 = 703*f + 9200 - 7893 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(125) + -4*(1 + sqrt(125))) + (sqrt(120)\/(sqrt(2) - (sqrt(50) - sqrt(2)) - sqrt(2)))\/(sqrt(12)*-2*-2).\nAnswer: -961*sqrt(5)\/16 - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 2*l - 13. Calculate the smallest common multiple of x(5) and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (56\/(-12))\/(2\/(-3)). Let b be k - (-1)\/((-4)\/8). Let q(h) = 2*h - 7. Give q(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -78*w**3 + 12785*w - 2118733 wrt w.\nAnswer: -234*w**2 + 12785","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-30)\/(-1120)*8)\/4?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -15*n + 1705. Give s(114).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4697*n**3 - 57043.\nAnswer: -14091*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 11. Let t be n(0). Let y = 7 + t. What is the tens digit of -32*y\/((-48)\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 85 = -82. Sort d, 4, -2, -4.\nAnswer: -4, -2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - ((-80 - -23) + 38)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4357?\nAnswer: 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -2*m - 2, -9*h + 6*h - 4*m - 474 = 50*m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/345138 and -73\/37515?\nAnswer: 1725690","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-34 + 14) - (-6)\/70?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 19 - 63 = 0. Let h = -11 - c. Suppose -4*s + 7*s - 483 = h. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*z - z. Let b(k) = z*k - 7*k + 2 - 3*k**2 + 2*k**2. Is b(-4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 0*x**3 - 13*x**3)*((-3 - 1 + 3)*(-40 + 35 - 22) + 4 + 4 - 6)*(4 - 2 - 1).\nAnswer: -319*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-6 + 1 + 123 - (-23 + 3 + 12)).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57320358?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -5*l + 2*u, 28010 - 27896 = -3*l + 9*u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrkrr. What is prob of picking 1 k and 3 r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 11*i + 2 - 4*i - 2*i**2 + 4*i**2 + 0. Suppose -4*s - 2 = -2*n, -11*n + 2 = -9*n + 3*s. Calculate the remainder when p(-5) is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447313294.\nAnswer: 2, 223656647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-2)*(-117)\/156)\/((-3)\/18).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*1*(2 - 3) - 1. Let p(x) = 3*x**2 - 9*x - 2. Let v be p(w). Let c(z) = 4*z**2 + 4. Let n be c(3). What is the highest common divisor of v and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 28939 = -0*c - g, c = 5*g + 7211. What is the highest common factor of 108 and c?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(5 - (3 + 5)). Suppose 2*y = -w*y + 25. Solve 3*k = y - 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -48.02 and -247.37.\nAnswer: 11878.7074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3, 2, 1.\nAnswer: -3, 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 12:38 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000049662 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -0.6. Let z = h - 1.5. Let y = 575 + -575.2. Put z, y, -3 in decreasing order.\nAnswer: y, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3545633664 to four decimal places.\nAnswer: -0.3546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/36*322\/10 - -1. Let x = 26 + a. Factor -5\/6*s - 2\/3 - x*s**2.\nAnswer: -(s + 1)*(s + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 33. Give z(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*((s\/s**(2\/9))\/s)\/s*s*s**(-5))**(2\/35) assuming s is positive.\nAnswer: s**(-76\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*x - 11, 0 = 3*w - 3*x - 2 - 22. Suppose w*j - 86 = -16. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/6 - (-1394461982)\/17632. Let u = -79085 + j. Let w = 304157\/44080 + u. What is the common denominator of w and -24\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 406*i**4 + 387*i**4 - 739*i**4 + (4*i + 0*i - 2*i)*(-2*i**3 + 2*i**3 + 2*i**3) + i**4 - 3*i**3 + 3*i**3.\nAnswer: 59*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-4) + (-30)\/45 + 170\/12. Solve 2*a + 3*y - 13 = 0, 18*a - 2*y - 13 = h*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -173*s**4 - s**3 - 1060*s**2 + 11. Let d(o) = -35*o**4 - 212*o**2 + 2. Let i(v) = 11*d(v) - 2*f(v). Find the third derivative of i(z) wrt z.\nAnswer: -936*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 368980110 divided by 18.\nAnswer: 20498895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m + 1230 = 26*m - 2*u, 2*m - u - 820 = 0. List the prime factors of m.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -173, -65, 43, 151?\n\"Answer: 108*y - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (-5*-1*sqrt(833) + 1)*5 + -5)*-5)**2.\nAnswer: -43750*sqrt(17) + 13016250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*t = -203*t + 36. Find the third derivative of -25*h**2 - 71*h**2 + 230*h**t + 181*h**2 wrt h.\nAnswer: 27600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 4, -4, -137929.7 in ascending order.\nAnswer: -137929.7, -4, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 3:54 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 73*b**2 - 1389*b + 88519. Give j(71).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -169a17 - 2?\nAnswer: -169a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 896659785, 896659784, 896659783?\n\"Answer: -r + 896659786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 15 = 5*v, v - 12 = 12*h - 13*h. Solve -59 = 52*k - v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1302 - 4978 = -3*h, 4*j - 3724 = 3*h. Suppose 4*o + 0*o + 2*x = 90, -4*o + 125 = -5*x. Calculate the greatest common divisor of j and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7139 < 93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/2 + 1 - -1. Suppose -4*v = 5*s - 18, -3*s = -4*v - 3 + 5. Let p = s + n. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5\/7, -0.1, 3?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 712 divide 14169310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**3\/6 - 5*i**2 - 4*i. Let k be c(-13). What is the second derivative of -k*z + z**4 + 3 - 3 wrt z?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.81 minus 1.22?\nAnswer: 84.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**3 - 16464710*j**2 - 54253828?\nAnswer: -6*j**2 - 32929420*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 0 - 13\/30*g**6 + 0*g**3 + 7\/6*g**4 + 0*g**2 + 12*g + 0*g**5. What is the third derivative of v(n) wrt n?\nAnswer: -312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(4*w - 3 + 3)*(2*w + 7*w + 12*w).\nAnswer: 168*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 6. Suppose 223 - 106 = 3*y. What is the remainder when y is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 5\/24*o**4 + 0*o**3 + 16*o**2 + 0 + 0*o. Let i(f) = f. Give i(a(z)).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 0.13756?\nAnswer: -0.43756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 29*m**2 - 17*m + 1. Let s(t) be the first derivative of -2*t**3\/3 + 517. Determine i(s(h)).\nAnswer: 116*h**4 + 34*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 6*z**2 - 24*z + 9. Let o be b(-12). Let r(g) = 13 - 8*g**2 + 3*g**3 + o*g - 4*g**3 - 1151*g. Determine r(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/69068 and 59\/3342.\nAnswer: 207204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1111102 (base 4) to base 14\nAnswer: 1dbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46\/3 in -3\/5, -7, 4, 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153312 divided by -9582.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -340*s + 2800. Calculate g(9).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6518695 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, y: 7, z: 5, b: 1, r: 1, l: 5}. Give prob of sequence rbdl.\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/9, 1, -3\/19, 2, 133?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18367873631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11 - -7) + 3\/1. Let f be 3 - 1 - (0 + t). Suppose f*u - 265 = -2*u + 5*n, -3*n = 15. What is the remainder when u is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133766809 + -28\nAnswer: -133766837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oc when two letters picked without replacement from {h: 3, e: 5, j: 2, o: 1, c: 7}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, 5, -4, -5, -1, -31 in increasing order.\nAnswer: -31, -5, -4, -1, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozp. What is prob of picking 1 p and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 25*u**2 + 24*u + 20. Is c(24) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 368 + -362. Let a = -37 - -32. Sort 3, a, n in increasing order.\nAnswer: a, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 12845.313 seconds?\nAnswer: 3.5681425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23001 - -1102221110?\nAnswer: 1102132103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 - 1825*p**2 - 76080*p.\nAnswer: -5*p*(p + 48)*(p + 317)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**2\/2 - 7*q + 10. Let t be c(13). Let w(m) = 4*m + 4. Let p(o) = 2*o + 2. Determine t*w(g) - 13*p(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, u: 5, b: 3, s: 3}. Give prob of picking 3 b.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 18 = -27. Suppose f*h = -2*h - w, h + 5*w = 0. Solve h = 7*c - 6*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3051 - -186103\/61. Let d = -368 + 369. Is x at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 460*j**2 - 13452*j + 12996.\nAnswer: -4*(j - 57)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -a2?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 + f - 2. Let m be v(2). Let i = m + 12. Solve 5*l = g - 2, i*g + 3*l + l = -16 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 46*g**2 - 5*g + 12. What are the prime factors of v(-46)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(24)\/sqrt(2)) - (-1 + sqrt(13) + -4))**2 - (-1 + (sqrt(13) - (sqrt(1872) - -1*sqrt(1872)))**2).\nAnswer: -6851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 9. Suppose -3*b - g + 2*g + 10 = 0, -5*g = n. Suppose -4 = -k - 3*q, -4*k = -b*q + 2*q - 3. Which is greater: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 47 + 92 = i, -i - 4*t + 43 = 0. Suppose 357 + i = 24*j. Suppose -3*l - 248 = -7*l. What is the remainder when l is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - 1941 + 753 = 0. Let p = g - 62. Calculate the smallest common multiple of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxcxxxvvxxsxxx. What is prob of sequence sc?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -3 (b) -5 (c) -0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = 0, -4*d + t - 1 = -7. Let z be (d + -10)*(-2)\/4. Let m = 53.4 + -52.4. Put z, m, 0 in descending order.\nAnswer: z, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 957\/(-120) + 8 - 9\/72?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61361 - 61355. Suppose -2*w + 2*c = 2*w + 14, -2*c + 6 = 0. Let q be w\/(-2)*(23 - 1). Solve -3*d - q = 5*t, -r*t - 18 = 4*d - 5*t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 443, 337, 231, 125, 19?\n\"Answer: -106*k + 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(2\/3)*d**(-2\/13))**(1\/14) assuming d is positive.\nAnswer: d**(1\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-26)\/52)\/((-2)\/(-4)). Sort 5, 2, 25, c in ascending order.\nAnswer: c, 2, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2698 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76293.\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2245209.1 + 23999.4.\nAnswer: 2269208.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2985*z + 2344. Is y(51) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 451, -4, 9, 2, 5 in increasing order.\nAnswer: -4, -2, 2, 5, 9, 451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0*d*d)**15\/((((d**(-3\/19)*d)\/d)\/d)\/(d**(2\/31)\/d*d)))**(-47\/4) assuming d is positive.\nAnswer: d**(-432165\/1178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**(-29)\/h*h)\/h)*h*h*h\/(h\/h**(-2\/19)*h))\/(h**(-10)\/h*h**(20\/9)) assuming h is positive.\nAnswer: h**(6955\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4*f + 31, -2*f = 2*y + 3*y + 89. Which is greater: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1186899 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*b - 4*m - 0*m, -2*b - 5*m = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/2 (b) -0.2 (c) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222859207 is divided by 4759?\nAnswer: 4755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19 and -16040.\nAnswer: -16021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 694 divide 64925857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -0.2 (c) 3 (d) 13\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 30, -4, 0, 14, -2 in decreasing order.\nAnswer: 30, 14, 12, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.858 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3836, -11923, -24254, -40829?\n\"Answer: -2122*j**2 - 1721*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggjgjpggjrggd. Give prob of picking 1 j and 1 r.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/23 in 0.4, -0.1, -1.2, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 6*a + 3*a. Suppose 60 = y + a*y. 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 z be 3\/(-5) - (-5)\/25*593. What is the highest common factor of z and 1298?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402512.\nAnswer: 2, 11, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*4*(sqrt(3) + 1) + 2.\nAnswer: -12*sqrt(3) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14689, -29222, -43593, -57790, -71801?\n\"Answer: 2*n**3 + 69*n**2 - 14754*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 7*v**2 - 4*v - 6. What is f(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l - l + l**3 + 7*l + 2*l - 1 in the form v*l**3 + g*l**2 + i + q*l and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*s - 6*z + 119 = 0, -5*s = -15*z - 12*z + 29*z - 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 628, 827, 1054, 1321, 1640, 2023?\n\"Answer: 2*g**3 + 2*g**2 + 179*g + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.0314 + 0.0814. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -68 or 795620?\nAnswer: 795620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*j - 23664 = 0, -2*v - 3*j - 39434 = -7*v. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-150)\/(-459) + -11*(-124)\/(-3069). Let n(l) = -l - 4. Let q be n(-7). Let k be q*1*(-6)\/12. Sort 5\/4, -34, k, m in ascending order.\nAnswer: -34, k, m, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -23)\/((-16)\/8 - 0). Does 16 divide c\/((-330)\/(-24)) + 7254\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 4*f**2 + 7*f - 10. Let t(l) = -2*l**3 + 3*l**2 - 8*l + 11. Let c(s) = -3*b(s) - 2*t(s). What is the units digit of c(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 8 (b) 8.23 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1062, 1308, 1560, 1812, 2058, 2292, 2508?\n\"Answer: -o**3 + 9*o**2 + 226*o + 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*h + 5*h + 5, -4*o + 44 = 4*h. Suppose -o = -3*x - 3. Put x, 5, 0 in descending order.\nAnswer: 5, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 0.01 (c) -9\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2642 - -4631. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**3 - 5 + 5*p**2 + p + 2*p + 0*p + 2. Let o(g) = -5*g**3 - 6*g**2 - 4*g + 4. Suppose 1388*f = 1382*f + 18. Calculate f*o(t) + 4*i(t).\nAnswer: t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1030 (b) 3 (c) 19 (d) -0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*v**2 + 0*v + 3*v**2 - 6*v**2 + v wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**9\/60480 - z**8\/5040 - z**7\/720 + z**6\/240 - z**5\/15 - 3*z**2. Let s(b) be the third derivative of j(b). Give s(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52170 and 2479?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-2))\/(-3) + (-13)\/(-3). What is the second smallest value in -3, -1\/6, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -30.8 and -731.\nAnswer: -761.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13313331 (base 4) to base 3\nAnswer: 1122020120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*y - 7. Suppose y*c - 25 = 0, -3*v + c - 32 = -246. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/4 + 40187*k\/4 - 331815.\nAnswer: (k - 33)*(k + 40220)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -7. Let p be 1\/(0 - (-2)\/4). Suppose 0 = -2*k + p*t + 2, 4*k + t - 5 = 9. Solve k*g = s*g + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 158604*n - 5556040.\nAnswer: 4*(n - 39686)*(n + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-45) + 28\/126. Which is the closest to 2? (a) u (b) -2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 5719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5523263671 and 12.\nAnswer: 5523263683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -0.11, 0.2 in descending order.\nAnswer: 0.2, -0.11, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p + 2 + 0*p + p + (2 - 2 - 1)*(-4*p + 2*p + p) - 2*p - p + p - p - 3*p + 3*p.\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5167*d**4 + 111*d**2 + d + 44512583.\nAnswer: -20668*d**3 + 222*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31273.167705 + 0.5.\nAnswer: 31273.667705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/79720 and -43\/175384.\nAnswer: 876920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 365201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 10:18 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, z: 3, g: 4, t: 2, y: 3}. Give prob of sequence igt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -9*m - 22. Determine c(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from tclpgcw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 62287544*w - 62287540.\nAnswer: -4*(w + 1)*(w + 15571885)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/7)*d**(-3)*d)\/(d\/d**(1\/4)*d**(1\/5))*(d**1\/d**(-3))**(-43) assuming d is positive.\nAnswer: d**(-24573\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 6*k**2 + 7*k - 7. Let q be f(5). Let m be -2 + -3 + q - -11. Suppose 3*d + 6 = m. Put 4, -1, d in decreasing order.\nAnswer: 4, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260309009 to the power of 1\/2, to the nearest integer?\nAnswer: 16134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 557373628 divided by 4508?\nAnswer: 123641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n - 112. Give a(9).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-480)*20)\/((-158)\/316)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -116 or -117?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 71*b - 935. Let i be l(13). Sort -5, -3, i in descending order.\nAnswer: -3, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x - 12*x + 4*x - 14. Is k(-7) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-5)\/t)\/t)\/t)\/(t*t**2))**(-3\/29)\/(((t\/(t\/(t*t**(-1\/8)\/t*t)*t))\/t)\/(t*t**(-1\/7))*((t\/(t\/t**(-2\/11)))\/t)\/t**(1\/10)) assuming t is positive.\nAnswer: t**(393177\/89320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4299747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 12:35 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075589 smaller than 1075590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 311*g + 5. Let q(j) = 5*j + 34. Determine q(t(u)).\nAnswer: 1555*u + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/7 (b) -9 (c) -54 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*(m*m**(-1\/8)*m*m*m)\/m*m*m*m*(m\/m**(-6))\/m)\/((m*m**(2\/5)*m)\/((m*m**4*m)\/m)))\/((m**1*m**(1\/2))\/(m**(3\/8)\/m*m\/(m**8*m))) assuming m is positive.\nAnswer: m**(127\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 39*r - 90.\nAnswer: 3*(r - 15)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**2 + 13*z - 25. Let d be t(6). Let y be (6 - d\/(-14))\/(1\/(-2)). Sort 12, y, -1 in increasing order.\nAnswer: -1, y, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 2*u + 1. Let s be f(-1). Suppose p - 5*i + 6 = s, -4*p + 2*i + 8 = -2*i. Let r = 20 - 17. Solve -3*a - r*o = -9, 4*a - 22 = -3*o + p*o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 + -366567402.\nAnswer: -366567402.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfq when three letters picked without replacement from {f: 14, q: 2, s: 1}?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*j**4 + 11896*j**3 - 35742*j**2 + 26816*j - 5960 = 0. What is j?\nAnswer: -1490, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*y - 18 = -2*k, 3*y = -2*k - 3. What is the third derivative of a**3 + 2*a**k + 0*a**3 - 2*a**2 wrt a?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (184 - 459 + 160)*(2*f**2 + 3 - 3) as t*f + u + g*f**2 and give g.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -722120, -1444242, -2166362, -2888480, -3610596, -4332710?\nAnswer: -5054822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtwwtstmpswwtwp. Give prob of sequence tm.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*m**2 + 49*m.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107598?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 51*f**2 + 6631*f + 121. Determine v(-130).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 8. Let o be p(6). Let w = -10 - o. Let c be 32\/(-56) + 85\/(-35). Put 0, w, c in descending order.\nAnswer: w, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/5*(-90)\/12. Let g be (6\/4)\/(x\/(-16)). What is the first derivative of -2*b**g - 7 + 13 - 4*b**4 wrt b?\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4835, -4843, -4863, -4901, -4963, -5055?\nAnswer: -5183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -75*q**2 - 7410*q + 1292. What is w(-99)?\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10723, 42821, 96297, 171151?\n\"Answer: 10689*y**2 + 31*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 0*j**5 + 0*j**4 + 0*j + 1\/120*j**6 + 1\/6*j**3 + 0 - 2*j**2. Differentiate d(b) with respect to b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*x + 1029, -4*f - x = -6*x - 2069. Calculate the common denominator of (-2121)\/54 - (-2)\/(-9) and f\/8*(-3)\/45.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 64, 233, 548, 1057?\nAnswer: 1808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -0.71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-5\/4))\/(j**(-9)*j)*(j*j**0)**(2\/11)*((((j**(1\/4)\/j)\/j)\/j)\/j*j**12)**(3\/26) assuming j is positive.\nAnswer: j**(13023\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2. Let i(f) = -f**2 + 9*f + 18. Let a be i(11). Let m be 2*(a - 34\/(-4)). Let l(v) = 300 - 300 - m*v. What is n(l(g))?\nAnswer: 243*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22597213 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 541842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7276510 or -7276511?\nAnswer: -7276510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 55750176659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-12))\/((-4)\/6). Suppose -28*w + 23*w = 0. Put 7, m, w in increasing order.\nAnswer: m, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60767701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 13) in base 3?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a + -16?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaaa. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 8*i + 40. Let u be 2 - (-1 - (i - 4)). Let n = 8 - u. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-38)*191 + (-98)\/387296*-208?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.15 - -16.15. Let q = -2 + k. Let g = q + -14.034. What is g rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6\/61 - -13\/488. Let g be (12 - 425\/35)*7. Sort g, y, 13\/2.\nAnswer: g, y, 13\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**5 + 10*r**4 + 36*r**3 - 88*r**2 - 304*r - 192 = 0.\nAnswer: -2, -1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-365)\/2*(-5)\/((-25)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 23*c**2 - 3*c + 13. Let t be x(10). Suppose -8*o + 3765 = -t. What are the prime factors of o?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*d + 11*d + 84 = 232 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3 = 5*j. Let w = 3 - j. Suppose 3*l - w*p + 4*p - 50 = 0, 2*p = 4*l - 48. What is the greatest common divisor of l and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 297 = -7*v. Let y = -29 - v. Calculate the remainder when 59 is divided by (-55)\/(-3) + -2 - y\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6379232.3 plus -0.4?\nAnswer: -6379232.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 7*z + 5. Let h be o(-7). Suppose 0 = h*u - 234 + 24. Let j = -7 - -35. What is the greatest common factor of j and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -194, -1540, -5180, -12260, -23926, -41324, -65600?\n\"Answer: -191*t**3 - t**2 - 6*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/5)\/(30\/150).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 129240.4 to the nearest 100.\nAnswer: 129200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 802915362 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by -93?\nAnswer: -17\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b**3 + 13*b**3 + 23*b**3 + 17*b**3 - 80*b**3.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -35*v**2. Let o = -34 + 35. Let m(s) = s**2. Let t(i) = o*b(i) + 30*m(i). Let d(j) = 8*j**2. Determine d(t(c)).\nAnswer: 200*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 14*d - 739. Let g(t) = 5*t - 246. Let a(m) = 8*g(m) - 3*x(m). Is a(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/((-1)\/2). Let k be (1 + 0\/o)*5. Suppose 2*i - 31 = -5*a, k*a + 25 = 5*i - 0*a. Calculate the greatest common factor of 56 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4712.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3245 (base 11) to base 6.\nAnswer: -31500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1050732 divided by -18\nAnswer: -58374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7428 is divided by 1409?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 53 + 18 = 3*s, s - 20 = -5*j. Let g be (3\/j)\/(8\/40). Solve 0 = 3*w - g*d - 3, w = -2*w - 3*d + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4362, 4363, 4364, 4365, 4366?\nAnswer: 4367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 22*u**3 - 68*u**2 + 46*u + 89. Let k(m) = 13*m**3 - 41*m**2 + 27*m + 53. Let l(y) = -10*i(y) + 17*k(y). What is l(17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2231 = -191*w - 157 + 1555 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - -178 - 42 - ((-5 - (-4 + -5)) + 6).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = -5*q - 2, -385*j + 4*q + 31 = -390*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 + 89*b**3 + 1739*b**2 - 11045*b.\nAnswer: b*(b - 5)*(b + 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 30, -7.41, -82, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1093, 3574, 7439, 12688, 19321, 27338, 36739?\n\"Answer: 692*p**2 + 405*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 4*j**3 + 3*j + 5*j**3 + 1 - 3*j**2 - 3*j to i*j + q*j**2 + t + o*j**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -243.54713 + 0.53683. Let j = 243 + m. Round j to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.9 - 8.4. Let s = -3.500034 - a. Round s to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.059 + 2.351. Let k = o + -4.54. Let w = 0.13 + k. Which is the closest to -0.1? (a) w (b) -1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**4\/66 - r**3\/33 + 5*r. Factor v(f).\nAnswer: -2*f*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 2*j**2 - 3*j - 2. Let l be t(-3). Let h = 17 + -20. Let v be (2 - l - 2) + h. Which is greater: -2\/29 or v?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, j: 1, e: 3, h: 6, k: 1, p: 1}. What is prob of sequence he?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**3 + 48 + 2584*v - 2584*v as h*v**3 + y*v**2 + t*v + l and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126 - 69. Let v = -53 + t. Suppose 5*n + 5*s - 1910 = 0, v*n - 3*s + 6*s - 1523 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10)\/(-20) - (-1564042)\/76?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 983.4978ml in litres?\nAnswer: 0.9834978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from {b: 2, e: 2, v: 5}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -2, -1, 44, 5.\nAnswer: -2, -1, -0.9, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - -10 - (7 - (7 + -11)) - 9 - 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 260*p - 5716. What is k(22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.2 + 4.8. Let s = n - 12. Let y = 14 - 10. Which is the second biggest value? (a) y (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -19*a**6\/3 - 321*a**4\/8 - 1064*a**2. What is the second derivative of n(q) wrt q?\nAnswer: -4560*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3984624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -43*v + 245. Let p(r) = r**2 + 57*r - 244. What is 2*p(f) + 3*y(f)?\nAnswer: 2*f**2 - 15*f + 247","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 3 + (3 + 23 - 8)*(0 + 3 + 0))*(-h**3 + h**3 - 4*h**3) to the form l + n*h + k*h**3 + y*h**2 and give k.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 4. Let p be x(-6). Let d be 1 - p - (-9)\/3. Let z be 1 - (-5 - -2 - 0). Solve 0 = 2*n + z*i + 6, d*n = 5*i - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152 - 399. Is z smaller than -250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-4))\/((-105)\/252).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*t**4 - 11578*t**3 - 57816*t**2 - 686880*t\/7 - 390528\/7.\nAnswer: -2*(t + 113)*(7*t + 12)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*(1 + sqrt(128) + sqrt(128)*-3 + sqrt(128) + sqrt(128)*-3*-6))**2*-4*-1.\nAnswer: -147972 - 1088*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.84246m to nanometers.\nAnswer: 29842460000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**3\/5 + 377024*w**2\/5 - 4*w\/5 - 377024\/5 = 0?\nAnswer: -94256, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (255\/(103 + -52))\/485\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-166)\/34 + 4\/(-2) + 8 + -1\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n - 3*j = -24, n + 8 = -j. Let a be ((-64)\/(-12))\/((-2)\/n). Let m = 53 - a. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z + 27\/2*z**5 - 18*z**2 + 0 - 45\/2*z**4 - 48*z**3.\nAnswer: 3*z**2*(z - 3)*(3*z + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2 - 33 = 0. Let r(f) = -p*f + 36*f - 9*f - 14*f. Let s(i) = 3*i. What is r(s(x))?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**3 - 4*j**2 - j - 7. Let i(f) = -8*f**3 + 12*f**2 + 3*f + 20. Calculate 4*i(r) + 11*s(r).\nAnswer: r**3 + 4*r**2 + r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.26 + 0.16. Let m = 42 + -39. Which is the closest to n? (a) 2\/3 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - 5) + (19 - (3 - -6))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -4 - (-5 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1877*k**2*o**3 + 2*k**2*o - 244*k*o - o wrt o.\nAnswer: -11262*k**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27 - -3a1?\nAnswer: 3c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*y + 29*y = -217 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**6\/480 - t**5\/240 + 5*t**4\/96 - t**3\/8 - 13*t**2. Determine s so that p(s) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -94343, -94192, -94041, -93890?\n\"Answer: 151*g - 94494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*x + 3*x**3 + 82*x**4 - 2045*x**2 - 3*x**3 + 2047*x**2 to the form c*x**2 + r + b*x**3 + h*x**4 + t*x and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -141 (b) -24 (c) -10 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-6)*7\/(-70)*4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4 = 10. Let p be 3\/(-6) - g\/2. Solve 0 = -3*h - 4*u - 20, 3*h + 5 = 2*u - p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3955038 and 516.\nAnswer: 340133268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((-4)\/(-32)*1*-2)*-22025. What is j rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + (-6 - -4) + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4027200 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 8*g + 3. Let x be k(-8). Factor 6*a**2 + 2*a**4 - 3 - x*a**4 - 2*a**4.\nAnswer: -3*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320824 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -43, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -59*p + 384. What is q(9)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19266 + -36130. Let v = 772\/3 + -262. Find the common denominator of v and m\/(-6783) + 4\/(-38).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1630 + 14542 = -26*s. Let i = s - -861. Is i > 239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**5 + 64*m**4 - 1794*m**3 + 7304*m**2 - 2264*m - 11424 = 0.\nAnswer: -51, -1, 2, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 53 in decreasing order.\nAnswer: 53, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = i - 5*o + 137, -4*o + 81 = 5*i. Let y(x) = x**3 - 10*x**2 + 8*x + 8. Let g be y(9). Calculate the remainder when (-2)\/g*-1 - -39 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*q - 1112*q = 161 + 24178 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3939 and 1515?\nAnswer: 19695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2551*k + 11070 + 34506 = -652*k for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00103641536 rounded to seven decimal places?\nAnswer: 0.0010364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + t + 1)*(-5*t + 10*t + 5*t) - 4*t**2 + 3*t**2 + 0*t**2 + (-2 + 3*t + 2)*(t + 2*t - 5*t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1437642 (base 8) in base 2?\nAnswer: 1100011111110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35787 and 3624.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and -0.08?\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*q + 4*x + 1 = 58*q, 26 = -2*q - 4*x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -877*y**3\/6 + 18*y**2 - 146*y. Is w(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*z + 0*z + 0*z)*(-13 + 4 + 8) - 403 - 78*z + 403)*(0*z - z - 4*z) to j + q*z + g*z**2 and give g.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -6.7. Let i = 2.1 + -1.9. What is the biggest value in -1\/9, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*p + 12*p = 46*p + 486 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69)\/(-230))\/((-12)\/10)*2\/(-4).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 8*w**2 + 0*w + 1\/270*w**6 + 1\/315*w**7 + 0 + 1\/1512*w**8 - 1\/36*w**4 - 1\/27*w**3 - 1\/135*w**5. Factor v(z).\nAnswer: 2*(z - 1)*(z + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 + -2)*(-11)\/(-11). Let c(s) = -s**3 + 4*s**2 - 2*s - 1. Let g be c(k). Find the third derivative of 0*p**2 + 7*p**g + 8*p**2 - 5*p**5 wrt p.\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 27570160.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21108 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*c**3*g - 202*c**3*r**2 - 5*c*o*r**2 + 190*g*o*r - 4*g*r**2 - g*r + 2*o*r wrt r?\nAnswer: -404*c**3 - 10*c*o - 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 7*t - 9. Let y be g(-4). Solve 4*r - f = -4*f + 32, y*f = 5*r - 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5670 divided by -14619?\nAnswer: -1890\/4873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(108) - sqrt(108))**2 - (sqrt(192) - ((sqrt(3) + -1)**2 + 4)).\nAnswer: -10*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1611 is divided by 108.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -269? (a) 357 (b) 2\/3 (c) 3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14175489*0.2\nAnswer: -2835097.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/9, -0.1, 1\/2, 0.04, 8?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 0*f**5 + 0*f**2 + 2\/7*f**7 + 0*f + 1\/3*f**3 + 0*f**4 + 4 + 0*f**6. What is the third derivative of g(b) wrt b?\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 2645455\nAnswer: -5290910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5172947651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 950 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 5, 2\/3, -5\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*k - 10, -3*i - 5*k + 2 + 11 = 0. Let v(o) = -5*o**3 - 1. Give v(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -5*u - 4*v - 44, -3*u - 4*v + 108 = 0. Suppose 0 = n - 0*n. Suppose -304 = -4*g - n*g. Calculate the remainder when g is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 108*t**2 + 23*t - 7. Suppose -l + 5*a - 3 = -5, -2*l - a + 15 = 0. Let q be r(l). Let n = 9483 - q. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -17*p**4\/4 - p**2 + 1321*p - 648. What is the first derivative of d(g) wrt g?\nAnswer: -51*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3089902 divided by 1544951.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -109 + -1 + (918 - 780)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171) + sqrt(171) + -3*sqrt(171)*-2 + sqrt(171) - sqrt(171))\/(sqrt(324) + (sqrt(324) - (sqrt(324) - 2*sqrt(324)))))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-22)\/((n*((n**(-8)\/n)\/n)\/n*n)\/n*n))\/(n**(-1\/13)*n*n**(-11\/2)))**26 assuming n is positive.\nAnswer: n**(-219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2079*s - 2111*s + 32 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1012, -2793, -7652, -17131, -32772, -56117, -88708?\nAnswer: -132087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 2\/13, -0.4, -70, 73\/89 in descending order.\nAnswer: 73\/89, 2\/13, -0.4, -16, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3604 + -4?\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*-6*(sqrt(100)\/sqrt(245) + -4*sqrt(20)*-4))**2.\nAnswer: 3677472000\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**3 - 21*g**2 + 50*g**2 + 18*g**2 in the form p*g + l + w*g**3 + y*g**2 and give y.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 4*c - 48. What is the remainder when 40 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.228\nAnswer: -0.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-517)\/(-396) - 64\/144?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 583a3 - -2?\nAnswer: 583a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crppppripcpcc. What is prob of sequence ccrc?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6809 and 48901?\nAnswer: 537911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -101110 (base 2) in base 15?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 155934073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4 - 1135*f**3 + 156000*f**2 = 0. What is f?\nAnswer: 0, 160, 975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/17 + 0*a - 2\/17*a**2 = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8499300 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9768 + -5418?\nAnswer: -14085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2335 = 3*x - 2356. Solve k - 16 = -4*m, 0 = 3*k + 5*m - 6 - x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0.1, 1, 10, 1\/5, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 12*f**2 - 8*f. Let s be t(-12). Let u = s + -97. Which is smaller: 39 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127790702\/375 - -340775. Calculate the common denominator of -11\/12 and x.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/9*9*4\/3\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/5)\/x*x**8*(x*x**(1\/3)\/x)\/x**0)**(-1\/13))**23 assuming x is positive.\nAnswer: x**(-2599\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 913 and -698387772.\nAnswer: -698386859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37293459 to the nearest integer?\nAnswer: 6107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3986442 is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.11 (b) 0.5 (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.41 - 0.59. Let v = 3.1 + -3. Which is the second biggest value? (a) i (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 44*r + 162. Let p(q) = 4*q**3 + q**2 - 2*q - 3. Let z be p(-1). Let t be s(z). Solve t*j - 24 + 22 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.7633 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3384, -6813, -10232, -13635, -17016?\n\"Answer: v**3 - v**2 - 3433*v + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105.1 - 106.1. Let x = 0.08 + -4.08. Which is the smallest value? (a) x (b) 3 (c) -0.1 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343.1976 kilograms in tonnes?\nAnswer: 0.3431976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5 - 11082*b**4 - 55485*b**3 = 0. Calculate b.\nAnswer: -5, 0, 3699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 + 13*m + 4. Give y(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + q. Suppose 4*x + 5*o = -q*x + 28, 5*o = -20. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 3:58 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 261590.3ug?\nAnswer: 0.2615903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1806 (base 12) to base 14\nAnswer: 10a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 644281884 to the power of 1\/2, to the nearest integer?\nAnswer: 25383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3360)\/(-150) - ((-8)\/30 - (-16)\/(-48)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 812 divided by -220?\nAnswer: -203\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/9 (b) -4\/7 (c) -37 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -14*v - 55. Let j be i(-4). Is j <= -2\/3705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93398226?\nAnswer: 2, 3, 31, 502141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.108 - -0.108. What is the biggest value in -4, 5, m, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1520?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6565 by -5.\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 146865.18 minutes in hours?\nAnswer: 2447.753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.714 - 25475.\nAnswer: -25474.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14775530 divided by -770.\nAnswer: -19189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/2 - 91*a**2 - 429*a\/2 + 9666 = 0.\nAnswer: -179, -12, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 0 + (7\/7)\/(-1). Let x be d\/((-6)\/20) - 4. What is the third smallest value in x, -3\/2, -3, 2\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -4*l**2 - 5*l - 1. Let t(q) = 4 + 4*q + 23 + 15 - 54 + 15. Let j be -3 - (-2)\/(-1)*1. Determine j*t(i) - 3*b(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 21637*z + 2293530. What is x(-106)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 67 + 3)*(c + 4*c - 4*c).\nAnswer: -85*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3915798 * 1.\nAnswer: -3915798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 15)*15\/6. Let n = 94 + -23. Let v = n + l. Calculate the remainder when 142 is divided by v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1995 - -1995.1. Which is the fourth smallest value? (a) -0.4 (b) s (c) 4\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37.1 - 7.1. Which is the second biggest value? (a) 0.5 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 7, -9 in descending order.\nAnswer: 7, 0.08, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1277.33 and 34421?\nAnswer: 33143.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((3 - 3) + -2). Let h be c*((2 - 3) + 1). Factor 2\/7*w**3 + h + 2\/7*w - 4\/7*w**2.\nAnswer: 2*w*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 5*i + 1. Let c be s(-4). Suppose c = f + 3. Solve f*u + 14 = 4*o, 3*u - 2*u + 3*o - 13 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*z - 3 = 0. Let h be (4\/z)\/((-6)\/(-63)). Let f = -13 - h. 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 302 minutes before 9:07 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 10. Let b = 121 - 78. Let m = 78 - b. Calculate the remainder when m is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -38 - 2\/55*k**5 + 32\/11*k**2 - 128\/11*k + 8\/11*k**3 - 2\/11*k**4. Solve n(l) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 2 = 3*i. Let a(u) = 5*u - 7. Let d be a(11). Suppose -i*j + d = -j. Solve -5*o = -0*o + 4*f + j, -o + 1 = -5*f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 + 2*w**2 + w. Let s be k(-1). Let d be (s - 2)\/(2\/(-6)). Calculate the remainder when (1 - 0)*(-75)\/d is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(-2 + 2 + 2)*(2*d**4 + 0*d**4 - 3*d**4).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*((-58)\/4)\/((-2)\/6). Suppose 4*n - 2*n = 3*k - 245, -k = -2*n - a. Let g = 106 - k. What is the remainder when g is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = f - 51 + 27, -2*l = 2*f - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1537 - 7187. Let c be (12 - 4)\/(4\/i). Round c to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 9. Let t be a(-5). Let i be (-3 + t + 5)\/(-1). Suppose i*j - 800 = -5*l, -2*l = j - 165 - 156. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q = 34123 - 34573 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 112.52 * -0.09\nAnswer: -10.1268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.3, 1, 12\/11, 54 in descending order.\nAnswer: 54, 12\/11, 1, 2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 4*o + 36. Suppose -3*f - 9 = -4*v, -v + o*f - 6*f + 9 = 0. Suppose 3*h - 159 - 636 = v. Round h to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1137*i - 541*i + 2*i**2 - 596*i.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**3 - 1819*s**2 - 3026*s + 65684. Determine r(-453).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3691484 to the power of 1\/2, to the nearest integer?\nAnswer: 1921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 156 + -104. Suppose -7*o + a = -18. Suppose 5*p - 6*p + o = 0. Calculate the least common multiple of 4 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**3 - 5*k**2 + 8 - 8 + (-k**3 - 5*k**3 + k**3)*(-2 + 0 + 4).\nAnswer: -15*k**3 - 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/1239454 or 1?\nAnswer: -21\/1239454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -12\/7*r**2 - 3*r - 1\/21*r**4 - 2\/3*r**3 - 12. Factor u(k).\nAnswer: -4*(k + 1)*(k + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**2 + 1 - 1. Suppose 2*g + 3*b = 7 + 21, 3*g - b = 20. Let a(o) = o. Let s(n) = 6*n. Let i(j) = g*a(j) - s(j). Determine m(i(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3627.0000006307 - 3627. Round v to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 289?\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24539537*b**3 - 30538310 wrt b.\nAnswer: -73618611*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 33130 (base 4) to base 6\nAnswer: 4324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from xxxxxyxyxyxxxxxxyy.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 34 + 41 = 5*d, 0 = -2*d - v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 699.7728 centuries?\nAnswer: 69977.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(7) - (sqrt(14)\/(sqrt(2)*-1))**2 - sqrt(7)) - ((2*sqrt(21))\/sqrt(3) + 4).\nAnswer: -32 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h. Let j = -42 + 41. Calculate d(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4442 > -4442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 10:29 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -298\/7. What is the closest to -1 in -0.16, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4405 + 54?\nAnswer: -4331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -23*w - 44. Let r = -131 - -129. Let z be b(r). Solve p = -2*p + 4*i + 14, -12 = -z*p + 4*i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22272*w**2*x**3 - 13593*w**2*x**2 - 83179*w*x**3 - 1052*w wrt w.\nAnswer: 44544*x**3 - 27186*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -3. Let g = 33 + m. Solve -4*j + g = 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/3 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 4, -26 in descending order.\nAnswer: 5, 4, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 58\/9. Which is the smallest value? (a) u (b) 4\/7 (c) -4 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(832) + sqrt(832) + 3)*-5 + 5 + (sqrt(832) + 1*sqrt(832)*-6 - sqrt(832)) + 3)**2 + 1.\nAnswer: 672*sqrt(13) + 30002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -2 + 2)*3. Suppose 5*a = -f*l - 2*l + 20, 0 = -a. Solve 0 = l*v - 7*v + j + 3, -5*v - 3*j = -5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3208*-507.\nAnswer: 1626456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b - 1. Let n(u) = u + 1. Let r(c) = -4*n(c) + w(c). Let m be 0 + -10 - 3\/(-3). Let j be r(m). Solve -2*x + 4*z = 8, j*x - 8 = -3*z + 5*z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 1:12 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (0 + -1 - -4). Solve 3*s + 23 = 4*p, -2*p - p - 14 = m*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 381 and 8255?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16614.\nAnswer: 2, 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, q: 6, k: 3, b: 5, m: 1}. What is prob of sequence kmk?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2158933 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -7493.81 to the nearest 100.\nAnswer: -7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -24413.398 and -5.\nAnswer: -24418.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -169 - -173. Solve o = 7*t - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 16*u**2 - 21*u + 19. Let p be r(-17). Let i = p - 127. Let q = 31 - i. What are the prime factors of q?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-13)\/39)\/((-2)\/6). Let l be 0\/5 + 3 + 176 + v. Suppose 0 = 15*u - 20*u + l. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2489283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 15, -12, -9, 16 in increasing order.\nAnswer: -12, -9, -1, 3, 15, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -161 * 44.\nAnswer: -7084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -65, -168, -295, -446, -621, -820, -1043?\n\"Answer: -12*u**2 - 67*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnt when three letters picked without replacement from knttnw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -15 and -27.2.\nAnswer: -42.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbgg when four letters picked without replacement from tbgggbgtbbgb.\nAnswer: 10\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5597 - 5669 = -8*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 - 92*v + 39674\/7.\nAnswer: 2*(v - 239)*(v - 83)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*v - 0. Suppose 3*m = -v, -3*k - 19 = -m - 57. Suppose 2*i = 4*s - 9 - 1, 0 = -3*s - 5*i + 14. Solve 9 = 5*r - 3*p, 2*r + s*r = 2*p + k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -1642cd4?\nAnswer: 1642cd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -2. Let i(s) be the second derivative of -s**4\/4 + s**2\/2 - 80*s. Calculate i(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2818441 to two dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/12*(9\/(-10))\/((-84)\/(-140)). Let s = -0.4 - -2.4. Let d = -2.4 + s. What is the second biggest value in 0, -0.7, d, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-7 - -4)) + (0 - 2). Suppose 3*j + 169 = p*g + 3*g, -j = 2*g - 61. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(119)\/sqrt(7) - sqrt(17)) + sqrt(17) + -2)**2 + 1)*6 - (4 + -1 + sqrt(612) + 3*(-1*sqrt(612) - sqrt(612))))*-3.\nAnswer: -387 - 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/7 - (-6)\/21. Let n(u) = 8 - 1 - u + 0*u - u**x. What is n(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/792 and 19\/2592.\nAnswer: 28512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.08, -4, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*i - i + 42, -s = i - 9. Let b(d) = 41*d + 65. What is the units digit of b(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1130*f**2 + 222*f**2 + 607*f**2.\nAnswer: 1959*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76947, 78034, 79847, 82386, 85651, 89642?\nAnswer: 94359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**4\/3 + 40*s**3\/3 - 143*s**2 + 742*s\/3 - 352\/3 = 0.\nAnswer: 1, 16, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(85)*-1 - sqrt(85))\/sqrt(5) - sqrt(136)\/(sqrt(16)\/sqrt(2) + sqrt(8))) + (sqrt(17) - (-4 + sqrt(272))) + sqrt(51)\/sqrt(3)*-5)*-4.\nAnswer: -16 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 2, -3, 2\/7, -4\/205, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2291338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*d - 94*d - 19 = -5*v, 0 = 2*v + 4*d + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8\/608*19*44\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 227*t - 11352. What is a(53)?\nAnswer: 679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -1)*(-3)\/9. Suppose -b = -u*b - 5. Solve -3*p - 4*l = 11, 0 = -0*p + 3*p - b*l - 34 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*v = 0, -14 = -j + 5*v. Let n be 4\/j + (-1020)\/42. Let k = -14 - n. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 7*c + 2. Let s be n(7). Let r(x) = x**3 + 2*x**2 - 2*x - 1. Let j be r(-2). Which is bigger: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 6 - ((2 - -1) + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**1*g*g*g**6)\/(g**(-2\/7)*g**(-2\/5)\/g*g)*((g*g**1)\/g)\/((g*(g*g**(-2\/9)*g)\/g)\/g)*(g*g\/(g\/g**2))**(2\/19) assuming g is positive.\nAnswer: g**(73159\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 1 - (17 + (-25 - -11))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1708*t - 164005 + 370673 = 0 for t.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -312 < -312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182516?\nAnswer: 2, 103, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.09 (b) -5 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11.5 + -13781.3368\nAnswer: -13769.8368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-89 + 115)*(-18)\/(-156). Solve -3*r - 30 + 36 = 3*i, b*i = -4*r + 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + -1)*(1 + 0). Suppose -4*q + 15*q = 0. Suppose -3*b + 44 = 5*s, -4*b = -q*s - m*s - 12. Are 9 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2018 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p - 5*p + p - 11260179*p**2.\nAnswer: -11260179*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 1. Let d(c) = -5. Determine d(w) - 5*r(w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 1 + 1 + 1 - 6 - 2*j. Let s be c(-4). Let d(g) = -7*g**2 + 4*g + 7. Let p(u) = -10*u**2 + 6*u + 10. What is s*p(i) - 7*d(i)?\nAnswer: -i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.29, 3\/14, 5, 4, -2\/15, -0.2, -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*c**2 - 70*c**2 - 2888 - 2*c + 178*c**2 - c**3 - 30*c**2 + 0*c**3 to the form o*c + n + p*c**2 + i*c**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1. Let w(j) = 41*j - 20. Let h(u) = -4*s(u) + w(u). Let l be h(-4). Is 30 a factor of 0\/2 + l\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211 - 209. Suppose 0 = n*g + 2*d - 104, -2*g + 3*d + 128 = -d. Calculate the lowest common multiple of g and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15016504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) 7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 36. Let k(t) be the second derivative of -t + 0 + 1\/6*t**p + 1\/2*t**2 + 0*t**3. Differentiate k(x) wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*k = 1937 - 28 - 313 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-72))\/(3\/(-18)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.06 + -0.06. What is the fourth biggest value in -2\/5, 0.1, -1\/4, l?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 12:37 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -13*f**3 - 9*f**2 + 5*f + 12. Let z(a) = -3*a**3 - 2*a**2 + a + 3. Suppose 0 = -5*l + 2*n - 10, -2*l - 2 = -l + 3*n. Give l*d(c) + 9*z(c).\nAnswer: -c**3 - c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 - 9571024574.46\nAnswer: -9571024574.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-14)*d**(-36)*d)\/((d\/((d\/(d\/((d*d**(-2))\/d)))\/d*d)*d)\/(d\/(d**(-2\/11)\/d*d))) assuming d is positive.\nAnswer: d**(-559\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j\/(j\/(j**1*j*j))*j)\/j))**(-38)*(j\/(j*j\/j**(-5)))\/j**(-7) assuming j is positive.\nAnswer: j**115","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0.3. Let v = 69.5 + -71.5. What is the closest to v in 2\/7, d, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/5)\/d**10*(d*d\/(d\/(d\/(d*d*(d**(1\/3)*d)\/d))))\/(((d**2\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(-149\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*q - 32 = -3*x, 0 = 3*x + q - 40. Let u = x + -14. What is the units digit of 0 - u*(0 + 19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 14) to base 16.\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1236, -4947, -11134, -19797, -30936, -44551?\n\"Answer: -1238*h**2 + 3*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + 6*(sqrt(147) - -3*sqrt(147)))*-2 + ((sqrt(12)*-2)\/sqrt(4) + sqrt(3) - (sqrt(1200) - sqrt(48)))*4)**2.\nAnswer: 524172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 84*g - 6324. Let s = 352 + -305. What is the remainder when g is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1073, 7671, 19791, 37439, 60621?\n\"Answer: x**3 + 2755*x**2 - 1674*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -399.472 to the nearest integer.\nAnswer: -399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, 1.\nAnswer: -11, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**3 + 38256*d**2 + 121845279*d - 732449538 = 0.\nAnswer: -6379, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 800927.8 decades to months.\nAnswer: 96111336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/3 (b) 4\/11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 3*k - 6*k**2 - 6*k)*((1 - 2 + 0)*(0*k**2 + 0*k**2 - 2*k**2) + 24*k**2 + 7 - 7).\nAnswer: -156*k**4 - 26*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 + (-126)\/(-35). What is the tens digit of 76*(-3)\/(-10 + l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 7*k - 24. Suppose 2797 = -9*p + 2770. What is w(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1089.8 to the nearest ten.\nAnswer: -1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-143))\/((-1)\/(-2))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -123*f - 1078. Give k(-8).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*j - 14 = 0, n + 4*j + 20 - 1 = 0. Which is greater: n or 5\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d - 6 = 3*w, 3*d + 2*w - 21 = 0. Suppose -4*h = -3*q + 40, -2*q + 12 = d*h - 7. What is the greatest common factor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236 greater than 11120\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, 4, -5, 2.\nAnswer: -5, 2, 4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 7*j = -222. Let h = 308 + j. Suppose -h + 2904 = 6*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -165 - -237. What is the highest common factor of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(242)*2)**2 - sqrt(22)\/(sqrt(66)\/sqrt(6))) - ((-1*sqrt(288) + -2)**2 - (-2*sqrt(288) + 5)).\nAnswer: -73*sqrt(2) + 678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2480 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f\/((f**36*f)\/f)))\/(f\/(f\/f**(-14\/3))))\/(f**30*f**(2\/13)\/f))**(1\/44) assuming f is positive.\nAnswer: f**(122\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 32.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164821979?\nAnswer: 7, 19, 23, 53881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by (-22 - -21)*(-1 - (14 - -2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 4\/(-6))\/(10\/(-45)). Suppose w*g + 140 = 8*g. Let m = g + -24. Solve m*r + 28 = 5*c, 0*c - 2*c = -4*r - 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 12011222?\nAnswer: 12011213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 27*c - 49. What is the units digit of g(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*v**3 + 4 + 5*v**4 - 2 + 48*v**3 + 12110*v**2 - 12107*v**2 - 7*v**4 to s*v + a*v**2 + c*v**3 + h + o*v**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 1621875\nAnswer: 8\/1621875","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 2. Suppose -16 = 4*h + 4*j - 0*j, 0 = 3*h + 5*j + 14. Let z be p(h). Let q be z - (13 + -3)*-1. Solve -5*b = q + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*u + 3*u - u)*(4 - 4 - 2) + 5*u + 15*u - 6*u)*(151 - 228 - 503).\nAnswer: -10440*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 11*a**4 + 9*a**3 - 9*a**2 - 25. Let b(s) = -5*s**4 - 4*s**3 + 4*s**2 + 13. Let n = 39 - 43. Let z(j) = n*c(j) - 9*b(j). Differentiate z(k) wrt k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 950 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -18.4. Which is the third smallest value? (a) 2 (b) -0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65974791 divided by -3.\nAnswer: -21991597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*c + 427 + 421 = 288 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 715.0342058 rounded to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1480808670.\nAnswer: 2, 3, 5, 11, 4487299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 27512?\nAnswer: 27512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 5)*20\/25.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -101111001010001000010110110?\nAnswer: 101111001010001000010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -3434?\nAnswer: -3436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/15)\/(65\/195)*1\/3?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6206*c - 11. Let l(a) = 3385*a + 6. Let r(u) = 6*i(u) + 11*l(u). Let s(t) = 7*t + 1. Suppose 3*p + 0 = 3. Calculate p*s(h) + 5*r(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**3 + 2*p**2 - 1. Let r be 1 + -1 + -3 + 2. What is the common denominator of 44\/15 and s(r)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-16) - 0)*180\/(-10)*1069\/112245?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1325682 to the nearest integer?\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 + 62. Suppose -3*a + 6 = -u + 4, 0 = -i*u - 15. What is the closest to -2 in -5, a, -1\/10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -0.18 (c) 0.4 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1405 divided by -281?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 25 - 25 + 105*o**2 + 72 as a*o + v + l*o**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74901 + 93*c**3 - 74901)*(-4 + 4 + 2).\nAnswer: 186*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-5)*(20 + (-38 - -19) + 4)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -1126?\nAnswer: 1125.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415.044 years in months?\nAnswer: 28980.528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 730900 rounded to the nearest ten thousand?\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + 0 + 2 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 608400078245438682623.9999995 + -608400078704567562648. Let i = j + 459128880280. Let q = 256 - i. Round q to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2448 - 2378 = 5*s - 2*n, 5*s + 4*n - 90 = -20 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - a + 4 = -i, i = -4*a - 9. Let c be ((-14)\/i)\/((-11)\/7920*-8). Is c not equal to 251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.89 times 230.3\nAnswer: -435.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12165?\nAnswer: 3, 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**3 + 488*m**2 + 12764*m - 13248 = 0.\nAnswer: -23, 1, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2 = -3*m. Suppose -3*t = 2 - 8. Let y(n) = -n**4 + n + 1. Let f(h) = 2*h**5 + 4*h**4 - 4*h**3 - 4*h**2. Let i(a) = m*f(a) + t*y(a). Factor i(q).\nAnswer: 2*(q - 1)**2*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45954, -46118, -46398, -46800, -47330, -47994, -48798, -49748?\nAnswer: -50850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**3))**(-10\/13))**(-1\/3) assuming w is positive.\nAnswer: w**(-10\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.33821 and -137?\nAnswer: 136.66179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -63*w**2 - 10*w + 5. Let j(x) = 88*x**2 + 14*x - 7. Let k(t) = 7*f(t) + 5*j(t). Let h(g) = 9215*g**2. Give k(h(s)).\nAnswer: -84916225*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgzfzzizfzif. What is prob of picking 1 z, 1 g, and 2 i?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**2 + 1933809*l + 3867606 = 0.\nAnswer: -644601, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.4 (c) -27 (d) -25 (e) -2\/9 (f) 0.4 (g) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72011009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -129488 divided by 4\nAnswer: -32372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**6\/24 - o**5\/60 + 6*o**2. Find the third derivative of j(r) wrt r.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 2, g: 7, c: 2, d: 2, a: 7}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + (-6834076)\/176)*-1. Let k = -38830 + m. Find the common denominator of (3 - 2) + 50\/8 and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.4. Put 0, -2\/7, q in decreasing order.\nAnswer: q, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 933324 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20.16 in 0.5, 5, -1, -0.0267?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*-2*15\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-20\/9)*u**6 assuming u is positive.\nAnswer: u**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 5002.\nAnswer: 5015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -1 (b) 3 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/4 of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 460 and 10400?\nAnswer: 239200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z - 1\/20*z**5 - 26 - 7\/2*z**2 - 3\/2*z**3 - 5\/6*z**4. Suppose -16 = 3*d + 11. What is p(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yq when two letters picked without replacement from tqqmwwwqywcq?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 2. Let t be (6\/(-30))\/(12\/(-15)). What is the second smallest value in s, t, 3\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5 (b) -0.2 (c) -3 (d) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 25 (b) 500 (c) -0.08 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*v + 5*v**2 - 2*v**2 + 3 + 7 + 2.\nAnswer: 3*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62 and 77?\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848937001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 960 and 6.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (48\/18)\/((-1)\/(-3)). Let l be (32\/u)\/((-4)\/(-11730)). Is 16\/(-104) + l\/26 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 7*l**2 - l + 7. Let h be n(7). Let s be (-6)\/(-18) + (-19)\/9. Let w = -35\/18 - s. Is h <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1. Let u(s) = 2*s**2 - 1492*s + 1492*s + 2. Let p(z) = -2*r(z) + u(z). Let j(x) = -35*x**2 - x. Give j(p(g)).\nAnswer: -140*g**4 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p - 4. Let f be r(-16). Let a = 85 + f. Find the common denominator of 3 + -4 - a\/(-12) and -27\/34.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1563*r**4 - 14*r**4 - 332*r**4 + 1383*r**4 + (r + 3 - 3)*(1 - 1 - r**3))*(4*r - 5 + 5).\nAnswer: 10396*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -158. Suppose 0 = 3*f - 535 - r. Let j = f - 145. Does 30 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4275 and 102659850?\nAnswer: 4275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8117084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 339220695 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 67939456\nAnswer: -17\/67939456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**4\/4 - 7*q**3\/3 - q**2\/2 + 7*q - 2. Let w be z(-7). Suppose 0*n = n - w. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + 0*l - 4*l)*(-69 - 5*l + 6*l + 76).\nAnswer: l**2 + 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -52 in 57, -337, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5318 + -5317. Let t = 0.2 + -1.1. Let z = t + 4.9. Sort 1\/3, z, c, -1\/6 in decreasing order.\nAnswer: z, c, 1\/3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.4, 0, 5, -17.\nAnswer: -17, -0.4, 0, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24) + 6*(-1*sqrt(24) + sqrt(24)) - sqrt(288)\/(sqrt(36)\/sqrt(3)))\/((-2*sqrt(96) + sqrt(24))\/sqrt(2)) + 1)*1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - 8\/(-2)*1. What is the units digit of -1 - 40\/(-4 + p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4582 - -41236\/9. Let n = 5 + -4. What is the closest to z in -3, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 345, 689, 1063, 1473, 1925, 2425, 2979?\nAnswer: 3593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177 + 6*w + 4*w - 108 + 215.\nAnswer: 10*w + 284","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -1\/720*v**6 + 0*v**3 + 0*v - 1\/24*v**4 + 0 - 2*v**2 + 1\/40*v**5. Let m(t) be the second derivative of z(t). What is m(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 8. Let s be a(6). Suppose -3*c = s*c - 5*z - 20, -2*c - z + 11 = 0. Solve -c*m - 5 + 30 = -4*x, 4*m = -3*x + 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 + w + 10 + 3 - 4*w**2 + 32*w**2. Let i be k(-14). Let b(x) = x**2 - x. Let v(f) = 4*f**2 - 3*f + 3. Determine i*v(z) + 3*b(z).\nAnswer: -z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1532 and 3861406.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1211 + -1215. What is the closest to -1 in 2\/5, x, -1\/6, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605619919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -714, -1310, -1894, -2460, -3002, -3514?\nAnswer: -3990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from {g: 1, b: 1, j: 3, l: 1, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**5\/2 + 161*p**4\/2 - 38987*p**3\/2 + 36039*p**2\/2 + 328653*p + 291060 = 0.\nAnswer: -294, -3, -1, 5, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 27269, 54532, 81797, 109064, 136333, 163604, 190877?\n\"Answer: a**2 + 27260*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 817, 6520, 22045, 52318, 102265?\n\"Answer: 821*p**3 - 15*p**2 + p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.12 - -0.28. Let i = -351 - -335.1. Let f = i + 16. What is the third smallest value in 0, f, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58011581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + -84 + (-26 - (-13 + -21))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007887 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*i + 4 + 0 + 40*i to the form o + g*i and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 48*f - 2700 = 4*f + 6*f for f.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-13))\/(v*v**(2\/13)\/v))\/((v**20*v)\/(v*v*v**(-1\/3)*v)) assuming v is positive.\nAnswer: v**(-1189\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5\/4 - 9*b**4 - 15*b**3\/4 + 135*b**2 + 3*b - 396 = 0. What is b?\nAnswer: -3, -2, 2, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 106\/6 + 4\/(-6). Let a = 18 - v. Is 24 + 2 + a + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207 = -d + 198 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37, 42, 49, 58, 69, 82, 97?\n\"Answer: k**2 + 2*k + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 7:39 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**5\/390 + 185*c**4\/78 - 123*c**3\/13 + 2*c**2 + 76*c. Factor k(u).\nAnswer: -2*(u - 369)*(u - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43195 < 43197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**22*g)\/(g**(8\/3)*g))\/(g**(-3\/25)*g)**(1\/30) assuming g is positive.\nAnswer: g**(2413\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 + 13*f**2 + 40*f - 209. Is 39 a factor of g(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5280 and 1579170.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**4\/12 - 2*m**2. Let a(w) = -3*w**2 - 28*w + 0*w**2 + 28*w. Calculate a(b(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -6. Let g(y) = -y. Let n be g(w). Let l(f) = 9*f**3. Let o(q) = 5*q**3. Let t(i) = -6*l(i) + 10*o(i). What is t(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -51 + 353. Let h = c - -40. Is (1\/(-2))\/((-9)\/h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/81*24\/40*5.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46130 is divided by 9225.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245442 (base 8) to base 16.\nAnswer: 14b22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 23*s - 48. Let d = 20693 - 20680. What is f(d)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-9)*(-18)\/(-30).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -96 in increasing order.\nAnswer: -96, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 396, 676, 1012, 1422, 1924, 2536, 3276?\nAnswer: 4162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1334*c**3 - 402*c**3 + 3*c**2 - 395*c**3 + (5*c - 2*c - 2*c)*(2*c**2 + 3 - 3) as z + a*c**3 + x*c**2 + i*c and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4823 + 5.4823. Which is the biggest value? (a) -32 (b) p (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -311*y**2 + 2 + 153*y**2 - 5*y - 5 - y**3 + 152*y**2. Give n(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 - 16*s**3 - 12*s**3 + 3*s**3.\nAnswer: -19*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.66 - -6.66. Which is the closest to 0? (a) 0.2 (b) l (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/2*(-5)\/((-150)\/20)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*u = -99*u - 4*k - 11, 0 = 5*u + k - 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000047574 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*d - 16*d - 66*d + 0*d + 3*d - 4*d + (d + 3*d - 2*d)*(-1 - 2 + 5) + 3*d - 4*d - d.\nAnswer: -126*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -j - 10, u - 7*j + 4*j = 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, q: 1, p: 1, e: 1, x: 1}. Give prob of sequence xee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 11:31 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (sqrt(171) + -1*1*sqrt(171) + (sqrt(171) - (sqrt(171) + -2*sqrt(171)*4 - sqrt(171))))\/(sqrt(225) - 3*(sqrt(225) - -3*sqrt(225)))).\nAnswer: -30 + 54*sqrt(19)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 b when three letters picked without replacement from beqbqbeeeeebbbe?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*f**2 - 170*f**2 - 22288*f**3 + 91*f**2.\nAnswer: -22288*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1555579?\nAnswer: 1555579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32574015263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10179 and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) -5\/6 (c) 4\/13 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -4934731?\nAnswer: 1\/4934731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/7)\/(-3 + -2 + 4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 - 3*k - 2. Let s(z) = -3*z**2 - 4*z - 2. Let x(m) = -4*m - 10. Let y be x(-3). Let l be -5*y\/(-3)*42\/(-28). What is l*n(v) + 4*s(v)?\nAnswer: -2*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 750707043 and 0.4.\nAnswer: 750707043.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -270, -438, -652, -936, -1314, -1810, -2448?\nAnswer: -3252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56*s**4 - 2*s**3 + 1548*s**2 wrt s?\nAnswer: 1344*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6259623 and 51.\nAnswer: 106413591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 - 451*p. Let j(b) = 4*b**2 - 448*b. Determine 4*j(o) - 5*n(o).\nAnswer: o**2 + 463*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4b0 (base 13) to base 15\nAnswer: -399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1530, 3072, 4614, 6156?\nAnswer: 7698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21\/6)\/7 - 1\/(-2). Solve -n - 3 = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.42 in 5\/6, 22, -5, 3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8460 - 379. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32079 or -32089?\nAnswer: -32089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3765947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 - 169 = -5*w. Suppose 8*l - 539 - 629 = 0. Let j = l - w. Is j a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owvv when four letters picked without replacement from {v: 2, w: 1, o: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13231153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 11. What is the third smallest value in 2, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-27)*(-5)\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 28*n - 1. Let a be j(-3). Let h = a + 144. Suppose -12 = t + i - 79, -t + h = 5*i. Does 28 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000567 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.022 - -5.922. Let y = -6 + v. Let z = 2.26 + -0.26. What is the closest to y in z, 3\/5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -12*u**3 - 7*u**2 + 4*u. Let x(g) = 11*g**3 - g - 3*g + 3*g**2 + 3*g**2. Let t(w) = 6*s(w) + 7*x(w). Find the second derivative of t(v) wrt v.\nAnswer: 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1986 - -2226. What is the highest common divisor of 1020 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*o - 5 = -10, -m + 5*o - 13 = 0. Let l = -0.114 + 0.266. Let c = -0.652 + l. What is the closest to -0.1 in c, -4, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrbb when four letters picked without replacement from rbrbrbrbrr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -281877*t**4 - 261081*t**2 wrt t?\nAnswer: -6765048*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 divided by -1888761.\nAnswer: -7\/269823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**3 + 3*w**2 + 4*w**3 - 4*w**2 - 5*w**3 to the form v*w + q + s*w**3 + g*w**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (227 - 222)\/(10\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 242. Let k be v(-17). Factor 63*g**4 + k*g**4 - 21*g**2 - 41*g**4 + 21*g**5 + 81*g**3 + 6*g + 60*g**2.\nAnswer: 3*g*(g + 1)**3*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**3 - 172*d**4 + 2*d + 3*d**3 - 3*d + 1 + 163*d**4 + 0 as t*d + c + h*d**2 + y*d**3 + f*d**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 197*-17904.\nAnswer: -3527088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s**3 - 9*s**2 - s + 7. Let g(y) = 3*y**3 - 4*y**2 + 3. Give -9*g(v) + 4*q(v).\nAnswer: v**3 - 4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 5*q + 4. Let y be (-15)\/6*24\/(-10). Let k(c) = 2*c - 9. Calculate the least common multiple of k(6) and x(y).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3010 - 3?\nAnswer: 3001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 361162153?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.3 (c) -6687\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**5 - 180*k**4 + 504*k**3 + 1556*k**2 + 870*k = 0.\nAnswer: -1, 0, 5, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -578 + 584. Let a(u) be the third derivative of 1\/120*u**t + 0*u - 1\/12*u**4 + 0*u**5 - 3*u**2 + 1\/6*u**3 + 0. Calculate a(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Let g be 51\/(-9) - 8\/24. Let t(x) = x**2 - 15*x - 19. Let l(f) = g*z(f) - t(f). Let r be l(8). What is the highest common factor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 50828, 415038, 1403600, 3328688, 6502476, 11237138, 17844848, 26637780?\n\"Answer: 52029*x**3 + 2*x**2 + x - 1204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 52. Suppose -m = h, 3*h - 4*h = -g. Is m at least -3\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*o = -51, -t + 2*o = -0*o - 6. Suppose -6*m + 42 + t = 0. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463575?\nAnswer: 3, 5, 7, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 2*b = -24. Let t(f) be the second derivative of f + 0*f**2 - 1\/6*f**b + 0. Let z(m) = 4*m. Determine z(t(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 25 = 0, 5*m - 25 = -20*v + 19*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64012 + 241055. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*24\/(-8)*(-2)\/(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 24*y + 147. Let b be k(-12). Let g be 8\/12 - (-1)\/(-6). Factor 2*h + 2*h**3 - b*h**2 - g*h**4 - 1\/2.\nAnswer: -(h - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*a**2 - 51*a**2 + 125*a**2 + 10*a**2 + 88*a**2 as o*a**2 + z*a + d and give o.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1463.61 - -1448. Let b = 0.39 - s. Let r = b - 16.00175. Round r to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*26\/1560*(-42)\/(-4)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -14 + 1\/2*a**2 - 2*a. Give p(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701173 is divided by 203.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -167 - 117533?\nAnswer: -117711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -19 times 4900788\nAnswer: -93114972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.491331 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17, -82, -227, -488, -901, -1502?\n\"Answer: -6*m**3 - 4*m**2 - 11*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 (base 8) in base 4?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + f - f + (-1 + 0 + 3)*(4*f - 2*f + 0*f) + 0 + 0 - f + (5 + 6 - 4)*(-3*f + f + f)*(2 - 2 + 3))*(94*f + 24*f + 43*f).\nAnswer: -2576*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 + 3*x - 3. Let u(v) = v**2 - 2*v + 2. Let f(i) = -2*r(i) - 3*u(i). Let w(n) be the third derivative of -n**4\/8 + 5*n**2. Calculate w(f(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57\/2 - -29. Let q = -1223 + 1222.98. Put q, 0, c, -1 in ascending order.\nAnswer: -1, q, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p**5 - 1223*p**4\/2 + 3288*p**3 - 6067*p**2\/2 + 329*p = 0. What is p?\nAnswer: 0, 1\/8, 1, 47\/7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 43*n - 46*n - 13, -4*r + 1028 = -204*n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 - 2.62041336365?\nAnswer: -130.62041336365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 17 - (5 + -1 + 5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1053606?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 2*s**6\/15 - s**5\/2 - 43*s**4\/12 + 2*s. What is the third derivative of d(q) wrt q?\nAnswer: 96*q - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(2 - 2 - x)*(-31*x - 18*x - 35*x)*((-4 + 4 + 2*x)*(2 - 1 + 0) - 3*x + 0*x + 2*x - 30*x - 107*x + 42*x).\nAnswer: -23688*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45.15 in 4, 1, -11, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikw when three letters picked without replacement from skswwsassswwwswikws.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.16259 + -0.16259. What is the fourth biggest value in 0, -68, k, 0.01?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6434 + -16?\nAnswer: -6450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231)\/(-2*sqrt(11))*4)\/((sqrt(84)*-1)\/sqrt(12)*-4))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q. Let k = 506 - 189. Suppose u = -0*u + 2. Let r(b) = -4*b**u + 317 - k. Calculate r(p(n)).\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27 + (-4 - -3 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -119*m - 79*m + 106*m + 2576. Calculate the lowest common multiple of (32\/(-2))\/(0 - 1) and m.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205867 is divided by 7916.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3993, 4008, 4033, 4074, 4137, 4228?\nAnswer: 4353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-15)*10*1*72\/(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 331725976 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 34397 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from zzzzozzzzzoozz?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10070 is divided by 47.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 39638390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 213, 831, 1829, 3183, 4869, 6863, 9141?\n\"Answer: -4*i**3 + 214*i**2 + 4*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 56*l**3 - 20*l**2 + 18*l + 26. Let s be u(4). What is the highest common factor of s and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -32 + -2879 + 2906 + (-3 - -3) + 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2433 + 22*w + 50*w + 6388 + 1502.\nAnswer: 72*w + 10323","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2107\/3 - -710. Let i = 109\/15 - d. Which is the nearest to 0? (a) i (b) -0.2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(-20))\/((-135)\/2754) and 73\/50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 30*v - 219. Let d be g(-17). Solve 22 = d*t + 12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/120 and 77\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 821*t - 821. Give o(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*d**4 + 5506*d - 7*d**2 - 2 - 5508*d - 3*d**4 to b*d**3 + s + t*d + f*d**2 + q*d**4 and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44288815 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 470 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19084535?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*d**2 + 312 - 312 - 190*d**2 + 3656*d**3 - 3667*d**3 + 97*d**2.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6916*r + 3243550. Calculate t(-469).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/2330 and 26\/25?\nAnswer: 11650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 2. Let i(u) = u + 3. Let f(n) = 3*h(n) + 2*i(n). Let d(j) = 9*j. Determine f(d(p)).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 7:35 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c**2 - c + c)*(-c + 6*c + 2*c + 4 - 2*c - 4 + c + 0*c + 0*c + (0 - 6 + 4)*(c + 0 + 0) + c - c + 2*c)*(-4*c - 2*c + 4*c)*(2*c - 2*c - 3*c).\nAnswer: -288*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myypqnpm. What is prob of sequence yy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 305 + -140. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -33*u**2 - 6*u - 6. Let q(f) = -2*f**2 - f - 1. Let n(b) = a(b) - 6*q(b). Let d(j) = -5*j**2. Calculate n(d(t)).\nAnswer: -525*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (-8)\/5)\/(4\/(-15)). Put 6, y, -2\/3 in decreasing order.\nAnswer: 6, y, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, k: 2, p: 13, o: 3}. Give prob of picking 1 p and 2 o.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7878808631?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -201\/10 + 20. Let s = 21239 + -3015899\/142. Find the common denominator of k and s.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(50)\/(sqrt(10)*5 + sqrt(10)) + -4 + sqrt(500) + sqrt(5) + sqrt(5) + (sqrt(30)\/(1*sqrt(6) + sqrt(6)) - (sqrt(80)*-4 - sqrt(80))))**2.\nAnswer: -980*sqrt(5)\/3 + 48245\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1700*t - 1547. Let n(a) = -2553*a + 2321. Let c(i) = -10*h(i) - 7*n(i). Find the first derivative of c(g) wrt g.\nAnswer: 871","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -31*n**5\/5 - 13*n**2\/2 - 42. Find the second derivative of j(l) wrt l.\nAnswer: -372*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -15 - (17 - (13 - 7)) - 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + s + 15, s + 1 = 3*c + 2*s. What is the third derivative of -2*t**6 + t**3 + t**3 - 3*t**c - 2*t**3 wrt t?\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177973, -355913, -533853?\nAnswer: -711793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 80159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -18823.897?\nAnswer: -3764.7794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16 (b) 4 (c) 708\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 6 + 20*t**2 - 2 to a + c*t + y*t**2 and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14661 by 9.\nAnswer: -1629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 11, -1, 4 in increasing order.\nAnswer: -22, -1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/42928 and 63\/10732?\nAnswer: 42928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 15, -6674, 3, 2 in decreasing order.\nAnswer: 15, 3, 2, -3, -6674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34.83 + 35.15. Put -0.2, 5, 3\/2, c in descending order.\nAnswer: 5, 3\/2, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-40227)\/20332 + (-4)\/34 and 27\/10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1842705 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3\/3 - 208*l**2\/3 + 808*l\/3 - 800\/3 = 0. What is l?\nAnswer: 2, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -745377\/5 greater than -149074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22098*u**2 + 15404*u**2 - 6179*u**2.\nAnswer: 31323*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 34\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/234 + -301\/2574. Is r equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.42\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, p: 2, j: 9, r: 4}. What is prob of picking 1 j, 1 g, and 1 r?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/255476 and -77\/9232.\nAnswer: 589638608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305328?\nAnswer: 2, 3, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -7. Let t = 4 - 2. Let n = 3 + t. Sort -4, n, c in decreasing order.\nAnswer: n, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -2131.382.\nAnswer: -2135.382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.6 - 0.6. Sort 1\/5, -1, r in descending order.\nAnswer: r, 1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -662 - -664. Solve -l = l - z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/3 + 2*x**3\/3 - 5*x**2\/3 - 2*x.\nAnswer: x*(x - 2)*(x + 1)*(x + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-24) + (-2 - -2). Let w = -41\/5 + 292\/35. Which is the nearest to 0? (a) h (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5789*h = -5723*h - 1056 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*v**2 - 58*v**2 - 24*v**2 - v**2 - 20*v**2.\nAnswer: -220*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24575\/(-225) - (-8424)\/78?\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwzwzwwvwvvwzvvwzv. Give prob of sequence wzw.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 4, 9342, 7, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -678*q + 2857. What is the ten thousands digit of t(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by 3?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(3 - 2*n - 3) + 2*n - 2*n + n + (2*n + 6 - 6)*(10 - 6 + 5) + 2 + 2*n - 2 - n + n - 2*n.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**4\/12 + 17*u**3\/6 - 17*u**2\/2 + 1961*u. Suppose -40 = -7*m + 5*m + 4*f, -6 = 3*f. What is y(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, y: 6, e: 2, q: 3, o: 1}. What is prob of sequence ee?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14511 is divided by 1409?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 3*p. Let o = -15 + 21. Let k = o + -3. Let t be h(k). Solve 2*s + 4 + 4 = t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 823 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 215*s + s**3 - s**2 - 816 + 812 - 216*s as u*s**2 + r*s**3 + i*s + p and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -676, 0.4, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -539 + 1022. Suppose 16*o - y = 29. Calculate the smallest common multiple of (8\/(-10))\/(7\/(-175)) and o.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 5*b + 3 = -7, 14 = 2*n - 3*b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(19) - (sqrt(304) + 5)) + 0) + 0.\nAnswer: -12*sqrt(19) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 2. Let m(w) = -w + 12 - 46 + 13 + 19. Let g = 8 + -4. Let v be (7\/2)\/(2\/g). Calculate v*k(t) + 6*m(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9358345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(44)*1 + sqrt(44))\/sqrt(4) + 5)*-1.\nAnswer: -5 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1503*k + 1503*k + 76*k**3)*(3*k + k - 5*k) - 3*k**4 + 6*k**4 - 2*k**4 + (-2*k + 2*k + 2*k**3)*(2*k - 1 + 1).\nAnswer: -71*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-73 + 119 + -45)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**3*z**3 - u**3*z**2 - 2*u**3*z - u**2*z**2 - 1025*u*z + 2853943*z**3 - 54*z**2 wrt z.\nAnswer: -12*u**3 + 17123658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x + 2*x**4)*(1 + 4 - 3)*(-2 - 3 - 2)*(-4 + 3 - 1).\nAnswer: 56*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1245866018?\nAnswer: 2, 53, 11753453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984803377?\nAnswer: 984803377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 9. Let r be v\/(-5) + 312\/65. Suppose 0 = -u - 2, 4 = n + r*u + 12. Solve 0 = -4*f - n + 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 856.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788 is divided by 147?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(147) - 5*(0 + sqrt(147))) + (sqrt(147) - (sqrt(147) + sqrt(147)*1*-6) - (sqrt(147) + (sqrt(147) - (1 + sqrt(147)))*-4)) + -3)**2.\nAnswer: -28*sqrt(3) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -122*k**4 - 20*k**3 - 10*k**2 + 130. Let i(q) = -2*q**3 - q**2. Let v(n) = 10*i(n) - l(n). Find the first derivative of v(r) wrt r.\nAnswer: 488*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 21*l - 1. Let x be h(-6). Let n = -62 - x. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6184, 24265, 54394, 96565, 150772?\n\"Answer: -w**3 + 6030*w**2 - 2*w + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 99\/10078?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29308, 58573, 87810, 117019?\n\"Answer: -14*s**2 + 29307*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59.8 + -54. Let d = 28988801 - 28988806.7999973. Let i = a + d. What is i rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/42, 0.1, -0.4, 3, 5?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -665, -5172, -17367, -41090, -80181, -138480?\n\"Answer: -640*m**3 - 4*m**2 - 15*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3546355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -11. Let g = m + -3. Let s = g - 1. Calculate the greatest common divisor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592 a factor of 22824560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0164743311 to five decimal places.\nAnswer: -0.01647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 12, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -7. Is a\/(-12) - (-713)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(425) + 0)**2.\nAnswer: -2125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 4*o - 2*z, 35*o + 2*z = 38*o + 18 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - 4 + 4 + 6*s - 16*s - 4*s + (-2*s - 2*s + 2*s)*(-2 + 0 + 1) + 2*s - 3*s + 0*s - 1 + 1 - 2*s.\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 191171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 1, e: 1, r: 1, z: 2}. What is prob of picking 1 e and 1 z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-10) - (-34)\/110. Let k = 310 + -210. Let g = k - 502\/5. What is the closest to g in z, -2\/9, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28704 and 158028.\nAnswer: 29077152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -20. Let l(d) = -8*d**3 - 2*d + 2*d**3 - 1 - 4*d + 4*d. Is 11 a factor of l(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/10 - (-1)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 12*c**2 + 5*c - 6. Let p be f(-10). Suppose 2*g + 4*o = 10 + 68, 0 = 3*g - 3*o - p. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/11))**(2\/173)*(r*(r**(-44)\/r)\/r)\/((((r\/(r*r**22))\/r*r)\/r)\/r) assuming r is positive.\nAnswer: r**(-39973\/1903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 675108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -994, -1670, -1708, -790, 1402?\n\"Answer: 53*h**3 + h**2 - 1050*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 156696 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/9*c**2 + 5\/3 + 14\/9*c = 0. What is c?\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 40034, -3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64430285.\nAnswer: 5, 1787, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.23, 1\/11, -140, -275?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 4*d - 3*d + d**3 + 847079*d**4 - 7 - 6*d**2 - 847075*d**4 as s*d + p + y*d**3 + r*d**2 + v*d**4 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -60, -42, 4, 90, 228?\n\"Answer: 2*z**3 + 2*z**2 - 2*z - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1347 - 215 + 463 = 29*q. Suppose 0*f - 2*f = -10. Suppose 3*i - 6 = 5*i, 16 = f*h + 3*i. What is the highest common factor of h and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7127910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1575216522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-10))\/(4\/10). Suppose -q*i + 5*i - 14 = -5*g, -2*g + 5 = i. Suppose -g*y + 80 = 5*n - 3*n, 0 = 3*n + y - 95. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a micrometer in nanometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5 + 46*d**4 - 12*d**3 - 260*d**2 + 362*d - 138.\nAnswer: 2*(d - 1)**3*(d + 3)*(d + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 5 - 11. Suppose -c*x = -14 - 16. Let n = -14 - -29. Calculate the greatest common factor of n and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*k - 2*o + 6 = -90*k, -4*k + 6 = -2*o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/10)\/(-9)*-5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from {j: 1, h: 3, x: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from rffffffdfrfffdfdrf?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 16 = -2*c + 6*z, -c - 4 = 4*z. Let t be (-15)\/(-21) + 4\/14. Sort c, t, -2 in descending order.\nAnswer: c, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqoqqoqqoo.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18344, -32143, -45942?\n\"Answer: -13799*k - 4545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + 26 + -41 + 15 + -1?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8248023 years in months?\nAnswer: 9.8976276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1022724*f**3 - 1022551*f**3 + 2045277*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/9*6\/(-2). Suppose -2*s + 3*b - d*b + 16 = 0, -4*s + 5*b + 62 = 0. What is the highest common divisor of s and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176 - 165 - ((5 - 4) + 48)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 3130?\nAnswer: -3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 <= 125886?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15085 - -15088. Which is the nearest to -1? (a) 0 (b) 1.5 (c) v (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*u = -3*t - 12, 0 = 4*u - 5*t - 22. Suppose 3*l + 4*c = 71, 0 = -c + u + 2. Suppose 5*z = -7 + l. Solve -16 = 6*b - z*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2219.4 + 2219. Let r = 7 + -7.3. Which is the closest to -0.1? (a) 5 (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385024 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33662 + -33662.014807. What is c rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*u - 78 = 17*u + 6*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114 - 100.2. Let w = 14 - 24. Let c = l + w. What is c rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5150894 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v - 6 + 22. Let n = 682\/1169 - 2\/167. Factor 10\/7*s + v*s**2 - n.\nAnswer: 2*(s + 1)*(7*s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 11:57 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 218\/108777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7848027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12452 less than 4697442?\nAnswer: 4684990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - z + 4. Suppose 0 = 5*c + w + 3 - 5, c - 2*w = -4. Let m be d(c). Suppose 4*y - 2*y = m. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (3 - -3) - -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170310, -169994, -169678, -169362?\nAnswer: -169046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 67 or -8?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/11, 0, 2\/7, 22?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 + 13)*(-3*c**4 - c**5 + 3*c**4).\nAnswer: -5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25304754 is divided by 8434915.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b - t + 24, 5*b - 3*t = 104. Let h be (b\/(-6))\/(5\/15*-1). Calculate the highest common divisor of 275 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffz when three letters picked without replacement from zzfzfz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/(-105))\/(4\/(-6)). Which is greater: l or -1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2432*w**2 + 16*w + 1540. Let q(p) = -1621*p**2 + 10*p + 1027. Let z(d) = 8*q(d) - 5*v(d). What is the first derivative of z(a) wrt a?\nAnswer: -1616*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9390\/1565)\/((-24)\/(-2))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 11:21 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*g + 8, 0*g + 5*g + o = 20. Let y(v) = 4 + v**3 - 2 + v**2 - 3*v + g*v**3. What is the units digit of y(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 40*t**2 - 2743*t - 234. Give r(-36).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323561.\nAnswer: 7, 17, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 5*s**2 - 4*s - 2. Let z(f) = 5*f**3 + 2*f**2 + 2*f + 1. Let v be z(-2). Let n be 2\/(-7) - (-130)\/v. What is h(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/9))**(16\/3)*v*v**6*v*v**(-1\/15)*v assuming v is positive.\nAnswer: v**(1366\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2681733384 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -5.3. Let y = 1070.615 - 1.615. Let p = y + -1069.4. Put 0.1, l, p in increasing order.\nAnswer: p, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**5\/9 + 754*n**4\/9 + 4499*n**3\/9 + 8234*n**2\/9 + 1496*n\/3 = 0.\nAnswer: -748, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 9*w + 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 355, 2, -2 in ascending order.\nAnswer: -2, 2, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22339851 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -463*i**2 - 87*i**2 + 260*i**5 - 120*i**2 - 247*i**5 wrt i.\nAnswer: 780*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -23 (b) -93 (c) 1\/5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/2)\/(2\/(-692)). Let u = x - 356. Suppose 0 = 4*n - u + 7. Calculate the remainder when n is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 8*h**3\/3 + 1. Let i(s) = 9*s**2 - 11*s**2 - 165958*s + 165958*s. Calculate v(i(l)).\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o**2 + 7*o**2 + 2*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11747, -22403, -33203, -44219, -55523, -67187, -79283, -91883?\n\"Answer: -12*t**3 - 10572*t - 1163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 322b6 + -285?\nAnswer: 32031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*(sqrt(153) + ((sqrt(153) - (sqrt(153)*1 + 2)) + sqrt(153))**2 + -1*(2 + sqrt(153))) + -3 + -4.\nAnswer: -288*sqrt(17) + 3713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 3 (c) 35 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-63) - (-112)\/(-21)) + 5.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88451?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -17. Solve 0 = -t - c*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*j**3 + 0 - 5*j**3 + j**3 + 2*j**3 + (3*j - 2*j - 3*j)*(j**2 + 0*j**2 + 0*j**2))*(11 + 53 - 5).\nAnswer: -59*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3530, -7049, -10528, -13949, -17294, -20545?\nAnswer: -23684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -52) + (-97 + 40 - -67)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -121*p + 1642 - 553 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 24 = -3*i, 0 = 3*i + i + 4*v - 48. Solve i - 9 = -5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**2 + 229*m**3 - 230*m**3 + 0*m - m + 2 + 0 as n*m**3 + k*m + h + g*m**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*k = 172, 95 = 2*x + k + 9. Let t = x + -31. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20344 + 14034?\nAnswer: -1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*2*15\/(-6). Let n = k + 8. Suppose 3*g + t = 3, -4*g + 2 = n*t - t. Calculate the least common multiple of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n - 5. Let d be v(5). Suppose s - 3*r - 16 = 0, 0*s + 1 = -2*s - d*r. Suppose -2*q = -5*z + 27, 2*z = z + 2*q + s. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 - q - 1. Give s(4).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -139?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/2)\/(u\/u**(-2\/13)))**(-35) assuming u is positive.\nAnswer: u**(-315\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w - w + 4*w)*(2*w + 25*w - 7*w) + 2*w**2 - 4*w**2 + w**2.\nAnswer: -41*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/1195 + 733\/4780. Let j(c) be the second derivative of 27\/2*c**2 + 0 - p*c**5 - 15\/2*c**3 + 7\/4*c**4 - 20*c. Factor j(b).\nAnswer: -3*(b - 3)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-6))\/(3\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f - 2. Let t(d) be the first derivative of -2*d**2 - d + 146. Suppose -3*r = -2*g + 16, 8*r - 5*g - 11 = 9*r. Determine r*t(n) + 5*c(n).\nAnswer: -n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 76 + 0*t**2 - 8\/3*t**3 + 4\/5*t**5 - 1\/4*t**4 + 0*t. What is the third derivative of l(i) wrt i?\nAnswer: 96*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51610685?\nAnswer: 5, 7, 1474591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.0088.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1595060?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**4\/12 - 4*m**3\/3 + 9*m**2\/2 - 3*m. Let s be i(6). Put -2, s, 0 in increasing order.\nAnswer: s, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -6. Let t(d) = -d**2 + 2. Let q = 1299 + -1304. Let o(h) = -h**3 - h**2 - h + 4. Let n(j) = q*t(j) + y*o(j). Give n(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/15)\/(19*(-17)\/(-3230))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 1146*k**2 + 35828*k - 212256.\nAnswer: -2*(k - 22)*(k - 8)*(k + 603)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 49 = 17. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 125758045 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 141*v + 13 - 40 + 8.\nAnswer: 141*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16 - 87948\/(-162)) + (-5)\/(-45). Solve 549*o - x*o - 198 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4 + (-2 + 2 + 1)*(2 + 2 - 6))*(x**5 + 2*x**5 - 2*x**5).\nAnswer: -x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158\/1659*24\/(-4).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3150676 weeks in nanoseconds?\nAnswer: 190552884480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98 - -121. Let h(t) = t**3 + 9*t**2 - 2*t - 6. Suppose -3*f + 0*f = 2*u + 35, u = -4. What is the remainder when c is divided by h(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188682 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + c = 2*c - 42, -10 = -5*c. Suppose -8*z + 4*z = 2*h - 544, -t = -5*h. What is z rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13144532 (base 6) to base 10\nAnswer: -433928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 92 + -1 + -3 + 3. What is the highest common divisor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 81*g**5 + 14967*g**4 + 69699*g**3 + 6633*g**2 - 69780*g - 21600 = 0. Calculate g.\nAnswer: -180, -40\/9, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -10\/1033 (b) -0.3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 - 6*z**4 + 3*z**4)*(-9*z - 3*z - 35*z) + 1335 - 1335 + 115*z**5.\nAnswer: 209*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8809056 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.084 - -0.184. Sort -5, -10, o in descending order.\nAnswer: o, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2320 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2021384422 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t = -290000. Round t to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 12:55 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 44*u - 5 = 45*u, -6 = -2*u for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 38, 1, 3126, 3 in descending order.\nAnswer: 3126, 38, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23.4 + 410.6. Let h = -678867483444 + 678867483877.999999787. Let d = m - h. What is d rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 318126.6 grams?\nAnswer: 318126600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h + 17. What is p(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.7 and -0.71273?\nAnswer: 1.924371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -191.841577 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 312 + -3210?\nAnswer: -2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/8)\/((-6)\/16). Let f be 190*(6\/(-3))\/i. Suppose -f = 3*o - 8*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436504793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 0.03856?\nAnswer: 15.03856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3983364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443198 is divided by 554.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + 18. Let t(w) = w**2 - 2. Let q = 7 - 10. Let d be t(q). Calculate the greatest common factor of d and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 3*i**2 - 5*i**2)*((-4 + 6 + 0)*(-11 - 16 - 10) + 2 - 3 + 3 + (4 - 2 + 0)*(-5 + 0 + 3)).\nAnswer: 76*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-115)\/575)\/(-1*(-16)\/(-40)))\/((-4)\/840)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4\/2 + 17*w**3 - 123*w**2\/2 + 45*w = 0.\nAnswer: 0, 1, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Let x = -16 - -11. Let m(i) = -i**3 - 3*i**2 + 8*i + 6. What is the least common multiple of q and m(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o. Let w(c) = -10499531*c**2. Determine f(w(k)).\nAnswer: -10499531*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glgiggl. What is prob of sequence ggg?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2519*n = 2212*n - 1116 - 9810 - 24686 for n.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2 - 179*i - 416. Let f be b(-57). Solve -3*c = -46 + f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694659489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79 (base 14) to base 8.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -198 (base 12) to base 15\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6123?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 0.0164, -3, -0.74?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -444683, -4, -2 in decreasing order.\nAnswer: -2, -4, -444683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -572*i**2*z**2 - i**2*z - 11*i**2 - i*z**3 + 6*i wrt z?\nAnswer: -1144*i**2*z - i**2 - 3*i*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 8*q**2 + 3*q - 6. What is the remainder when l(-7) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 - (-10 + -1 - (-24 + 20))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6954*g - 3. Let p(l) = l**2. Give p(m(u)).\nAnswer: 48358116*u**2 + 41724*u + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3551*x - 348*x = 32030 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**5 - 930*f**4 + 3949*f**3 - 1991*f**2 - 114266*f?\nAnswer: 180*f**2 - 22320*f + 23694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 10*r**2 + 12*r + 12. Let q be z(-11). Is 4 a factor of q\/3 + 120\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-164)\/(-10) - 4\/10. Let j be (1 - -138)\/1 - -5. Calculate the greatest common divisor of j and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-39)\/26)\/((-5)\/(-2)). What is the biggest value in 4, c, -4\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**2 + 2*p**2 - 4*p**2 + (-3 + 2 - 1)*(-2*p**2 + 0*p + 0*p) + 140 - 140 + 174*p**2 + p**2 - 6*p**2 + 3*p**2 in the form a*p + o + l*p**2 and give l.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n = 20. Let g(s) = s - 2. Let x be g(2). Suppose 11 - 3 = 4*u - m, x = 5*m + n. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**3 - p**2 + 2*p - 1. Let r be w(1). Let c(x) = 3*x**3 - 2*x**2 - 8*x + 1. Let s be c(r). Let t = s + -63. List the prime factors of t.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 667815?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3079 + 4353 = -575*x + 2832 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - k**3 - 79*k + 78*k - 35*k.\nAnswer: -k**3 - 36*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 3*j**2 + 0*j + 1\/2*j**3 + 0 - 1\/4*j**4 - 1\/60*j**5. Let k be 5*4*(3 - (-130)\/(-40)). What is t(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -24 (b) 10.1 (c) -4 (d) -1\/3 (e) 6.4 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-27)\/36 + (46 - 29)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oouzuwujujuuuuoououu. What is prob of sequence jw?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 65934.51 years in millennia?\nAnswer: 65.93451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, 30, 96, 218, 414?\n\"Answer: 3*v**3 + v**2 + 4*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -6.2.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 0, -2, -6, 83, -611?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(84)\/sqrt(7)) + (sqrt(3) - (-5 + sqrt(75))).\nAnswer: -3*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - c + 416 = 0, 403 = 4*a - 5*c - 1243. Calculate the highest common divisor of a and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*a + 2*h + 100, -3*h = 2*a - 50. Let i = -1 + a. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2325, -9125, -20457, -36321, -56717, -81645, -111105?\n\"Answer: -2266*p**2 - 2*p - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 14) in base 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1008))**2 - ((sqrt(77) - sqrt(77)*-1) + sqrt(77))\/sqrt(11).\nAnswer: -3*sqrt(7) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.808365 rounded to two decimal places?\nAnswer: 90.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40757 in 4, -2\/11, 0.2, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-144)\/(-20))\/4)\/((-12)\/40).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4985.19 times -225?\nAnswer: -1121667.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100*i**3 + 3*i**2 - 38*i - 3 wrt i.\nAnswer: 600*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*j + 43*j + 906*j**2 - 74*j.\nAnswer: 906*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 32\/5719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6089843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**6\/30 + 802*n**5\/15 + 160801*n**4\/6 + 43*n**2 - 3*n. Factor r(d).\nAnswer: 4*d*(d + 401)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcpe when four letters picked without replacement from {d: 2, c: 1, e: 3, p: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 15.73, 5?\nAnswer: 15.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, t: 2, q: 3}. What is prob of sequence qt?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53\/11, 5, -1.8 in increasing order.\nAnswer: -1.8, 53\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yr when two letters picked without replacement from {y: 3, u: 1, p: 2, w: 11, r: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2 + 18*c - 72. Let z be t(-13). What is the greatest common factor of z and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - 73\/2. Let u = 2 + -2.4. Which is the smallest value? (a) 2\/5 (b) u (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/80*-3)\/(12\/20)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*w = -64*w - 29510. What is w rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -0.1 (c) -15\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 8)*598\/(-9568)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 41 = 5*u, -3*u = 5*x - 0*u - 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 3:03 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30167585 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 534, 868, 1198, 1524?\nAnswer: 1846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 7056\nAnswer: -5\/7056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7071305 milligrams to kilograms.\nAnswer: 0.0000007071305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*u - 33*u + 83*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 162, 275, 412?\nAnswer: 573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/12383585 and -56\/885?\nAnswer: 2191894545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 35.4. Which is the closest to 7? (a) k (b) 1\/2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 19 + 8 = 0. Suppose -r + 2*r = 0. Suppose r*i - 2 = -2*i. Solve -2*l + 3*o = 13, -5*o + y + i = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*m - 1731. Let l = 1323 - m. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -380*f**2*j**2 + 8*f**2 - 3*f*j**2 - 10*j wrt j.\nAnswer: -760*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61568374\/5 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8029 and 592?\nAnswer: 128464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 735 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 3:06 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/28*(-987)\/2115.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 199 - -437. Let i = 1039 - x. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(9)\/(sqrt(18)\/sqrt(6)) - 3*sqrt(3)*-1 - (-4 + 0 + sqrt(300) + -3)).\nAnswer: -30*sqrt(3) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110110000001000011 (base 2) in base 14?\nAnswer: -1c3335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8\/10*18\/((-144)\/20)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 45, 13, -17, -45, -71, -95, -117?\n\"Answer: w**2 - 35*w + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 - 5 = -4*i. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 s when four letters picked without replacement from ssskkskssssvk.\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136890 and 1014.\nAnswer: 136890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*t + 13*t + 6*t)*(15 + 11 - 1 + 14) to the form d + m*t and give m.\nAnswer: 1521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 - (453\/(-6)*-21)\/(12\/(-64)).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 7:56 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3276 - -5012. Is d a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(100) + 5*(sqrt(100) + -1*sqrt(100)))*-2)\/(2*sqrt(32)*-2))**2.\nAnswer: 25\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1 + -0.8. Let b = -0.2 + c. Is -1\/4 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4607 + -4552. Suppose 3*m - 42 = 15. What is the remainder when t is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 34*i - 109. Let h(g) = 5*g**2 + 172*g + 544. Let l(v) = -4*h(v) - 22*j(v). List the prime factors of l(-37).\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 0.2, 5, 347.19168, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 2011476. Let q(f) = f. Determine q(s(y)).\nAnswer: -y**2 + 2011476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**4\/12 + n**3\/2 + n**2 - 19*n. Let a be r(-3). Solve 4 = a*t - 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22423993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-198*s**2 + 2*s + 0*s - 5*s + 2)*(-s**3 + s**3 + s**3).\nAnswer: -198*s**5 - 3*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1430 and 44792020?\nAnswer: 492712220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 17*d - 1\/54*d**4 - 34 - 1\/3*d**2 - 4\/27*d**3. Let o(i) be the first derivative of y(i). Factor o(v).\nAnswer: -2*(v + 1)*(v + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34 - 6997?\nAnswer: -6a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - y + 6. Suppose -123*k + 128*k + z - 206 = 0, -z = 4*k - 166. What is the smallest common multiple of f(0) and k?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 721 - 718. Differentiate -122*i**3 - 128*i**3 + 416*i**t - 114*i**3 - 123 + i wrt i.\nAnswer: 156*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 359 + (-4)\/1 + 7 + 0. Let v(r) = 3*r - 362 + u. Let b(y) = 18*y**2 - 1. What is b(v(z))?\nAnswer: 162*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*u + 3*u**3 - 115*u + 52*u.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, a: 1, v: 4, e: 9, m: 1}. Give prob of sequence ven.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -240, -542 in descending order.\nAnswer: -5, -240, -542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r**3 - 2*r**2. Suppose 3*z = 8*z, -4*w = -5*z. Let s = w - 2. Let c(v) = -3*v**3 - v**2. Calculate s*p(g) + 3*c(g).\nAnswer: -g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*f = 834, 0 = -2*f - f - 3. Suppose -2*q + 5*q = 2*x + p, 4*q = -5*x + 206. What is the remainder when q is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**6\/120 + z**5\/12 - z**4\/12 + z**3\/3 - z**2. Let i be 6\/4*(-12)\/(-9). Is k(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a day in minutes?\nAnswer: 56880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 times 0.6506?\nAnswer: 31.2288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -66 - 3548*j - 3116*j + 66 + 1337*j as w*j + p and give w.\nAnswer: -5327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-165)\/45)\/11*-1)\/((-1)\/24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (20 + (17 + -4 - 8)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**3 + 23*x**2 + 17*x - 2. Let v(w) = w**3 - 8*w**2 - 6*w + 1. Give -6*s(o) - 17*v(o).\nAnswer: o**3 - 2*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 0*v**3 + 0*v + 5*v**2 + 5 - 1\/24*v**4. Let q(w) be the second derivative of i(w). Let a(m) = 5*m. What is a(q(z))?\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250453?\nAnswer: 7, 37, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1689*l**2 + 469 - 19*l - 1651*l**2 + 569 with respect to l.\nAnswer: 76*l - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*v**2 - 8*v**2 - 7*v**2 + 2*v**2 in the form c*v**2 + m + p*v and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - h**2 - h + 12. Let w be c(0). Suppose -x = -265 + w. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 16*s - 48. Let x be p(-7). What is the hundreds digit of ((-1912)\/(-10))\/(-6 + 96\/x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -299*s**7\/42 + 91*s**3\/3 - 175*s. Find the second derivative of m(k) wrt k.\nAnswer: -5980*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from {o: 1, u: 1, l: 2, y: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 47*o**2 + 3*o - 2. Let y(p) = -45*p**2 - 3*p + 2. Let w(r) = -5*q(r) - 6*y(r). Let i = -2 - -3. What are the prime factors of w(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2 - 837*m + 5666. Let k be v(7). Factor 0 - 2\/3*s**4 + 0*s - 4\/3*s**k + 2*s**2.\nAnswer: -2*s**2*(s - 1)*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6 = 2*d, 4*d = -d - 4*g + 21. Let u = 20 + -19.99. Let f = 0.21 - u. Put d, 1\/2, f in decreasing order.\nAnswer: d, 1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -3 - (219 - 200)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*-2)\/sqrt(12))\/(sqrt(8) + sqrt(48)\/(sqrt(6) + sqrt(24))).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 33*w**4 + 1290*w**3 + 381*w**2 - 37596*w - 3420 = 0.\nAnswer: -38, -6, -1\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*1*11\/22. Let z = 56.1 + -56. Which is the third biggest value? (a) 3 (b) -0.5 (c) s (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 4*x**2 + 3*x - 9. Let k be z(2). What is the second derivative of -81*q + 116*q - 29*q**5 + 10*q**k wrt q?\nAnswer: -380*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 1:31 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15286? (a) -5 (b) 4 (c) -4\/5 (d) -97\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.87238 to three decimal places.\nAnswer: -0.872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3 - 15. Let u be q + (4 - 6) + 60. Let o = u + -60. Solve -2 = -o*k + n + 3, -5*n + 17 = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103 + 3.6.\nAnswer: 106.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: a031c (base 14) to base 12\nAnswer: 166806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-three fifths of a milligram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 10*r + 3. Let k be a(10). Suppose 0 = -j - j - 4*d - 4, -k*j - 4*d - 4 = 0. Suppose 3*p = -o + 8*p + 28, j = o + 2*p. Solve -f = f + o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9472 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**33\/(g\/g**(-13)*g*g) assuming g is positive.\nAnswer: g**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 - 680 + 680 + c**2 + 3*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -4aa0?\nAnswer: -4aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103.3 - 102.3. Sort 9, -0.2, i in decreasing order.\nAnswer: 9, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1113 + -10031\/9. Let c = 38333\/22 + -1742. Let h = c + 329\/110. What is the common denominator of h and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -68*(-9)\/36 - 0. Let u(b) = 2*b - 5. Calculate u(t).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -8 - 14*r + 5 + 4. What are the prime factors of c(-2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37010087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 - n**3 + n**3 + (n**4 + 3*n**4 - 2*n**4)*(9 - 6 - 13))*(-3 + 2 - 1).\nAnswer: 42*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**2 + 2*n + 1. Let p be s(-1). Let d be p\/18 - (-870)\/27. Let l = 9 + d. What are the prime factors of l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 + (39 - -98) - 99?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -165, -334, -503, -672, -841?\n\"Answer: -169*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2476557?\nAnswer: 3, 233, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4231 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000329825 rounded to 6 decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {p: 2, j: 3, h: 1, v: 1, b: 1, s: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.1, 0.2061, -0.4, -2, -5 in decreasing order.\nAnswer: 0.2061, 0.1, -0.4, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (-17 - -31) - -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00032495899 to 7 dps.\nAnswer: -0.000325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/13)\/t**7)\/(t**(-1\/2))**(-40) assuming t is positive.\nAnswer: t**(-349\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**7*u)\/((u\/(u**(-4\/9)\/u))\/u)*u**(-7)\/u**(2\/5))**(-14\/5) assuming u is positive.\nAnswer: u**(-728\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z - z)*(-2 + 1 - 10)*(-z + 0*z - z) + (0*z - 2*z + 0*z)*(-z + 4*z - 2*z) - z**2 + z - z.\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minus 3321060040?\nAnswer: -3321059884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t. Let g(c) be the third derivative of -c**4\/24 - c**3\/6 - 2*c**2. Let k be (3 - (12 + -1)) + 6. Calculate k*a(x) - g(x).\nAnswer: 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) 19 (b) 3 (c) -23\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 16*v**2 + 334*v - 38. What is the remainder when 18 is divided by j(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 938341 is divided by 78186.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 3*m = -2*m. Suppose -4*p - 3*n - 14 = m, n - 5*n = -3*p + 2. Let q(x) be the third derivative of x**4\/8 - x**2. Determine q(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 32 - 72)*(13*g - 70*g + 31*g).\nAnswer: 2600*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3330*f - 1664*f - 1668*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 173*f**2 + 4*f + 2. Let t(a) = 522*a**2 + 11*a + 5. Determine 4*t(m) - 11*y(m).\nAnswer: 185*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 2, -23, -78, -175, -326, -543, -838?\nAnswer: -1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o + 2*o = 3*w - 42, 4*w = -5*o - 9904 + 9893 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*s + 287*s = -736*s - 5220 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.06 from -62.4001.\nAnswer: -62.4601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + a - 4, 16*n = 17*n - 4*n - 22*a + 188 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101135?\nAnswer: 5, 113, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15754*y + 1120 = -15726*y for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/18)\/(10\/(-6)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from memuemk. What is prob of sequence eem?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82.18 - 0.18. Let g = c - 82.0043. Round g to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 - 63.1. Let n = 0.9 - d. Which is the nearest to n? (a) -1\/4 (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 + 11*q**2 - 9*q**2 + 6*q**2. Let v(c) be the first derivative of -1004*c**2 + 16 + c**3 + 1004*c**2. Determine n(v(g)).\nAnswer: 99*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2713287726?\nAnswer: 2, 3, 1607, 31267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by 688.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 669887 a multiple of 507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 235, 1.9, -4 in ascending order.\nAnswer: -4, 1, 1.9, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-126)\/49)\/(8\/350). Which is smaller: -114 or y?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + ((-12)\/(-14) - 6909\/(-343)). Solve 0 = -7*h + 30 - j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, e: 4, p: 9, a: 2}. Give prob of picking 1 f and 1 a.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-630)\/(-168)*24\/75\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -18) + 14 - 20*(-6)\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 4:56 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -303 + 454. Let f = -151.2726 + r. What is f rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 26 (b) 0.04036 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhuu when four letters picked without replacement from {g: 12, d: 2, h: 3, u: 3}.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -6. Suppose 0 = 4*b + b + 15. Let u = b + a. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 8. Let q be j(9). Let f = -0.22 + -0.08. Let p = 2 - 5. What is the nearest to 1 in f, q, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, -4\/3, 2, 450, 3 in decreasing order.\nAnswer: 450, 3, 2, 0.2, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3 + 28\/6. Suppose 32500002 = 5*d + k*y - 4*y, 26000010 = 4*d + 5*y. What is d rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 642 and 1945474.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 4*t**2 - 2*t - 5. Let h be w(-4). Suppose 3*y - 3 = -3*p, -h*p + 19 = 3*y - 8*p. Let r be 0 - y - -3 - -5. Solve r*l = 18 + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14790 + -14787. Let k(h) be the first derivative of -h**3\/3 + h**2\/2 - h + 1. Give k(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*2\/8)\/((-5)\/130)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + sqrt(198)\/sqrt(144) - sqrt(88)\/sqrt(4)*-1)\/((sqrt(256)*-2)\/sqrt(2)).\nAnswer: -9*sqrt(11)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 - 3*b**2 + 6*b**3 + (-161*b**2 + 502 - 502)*(-b - 3*b + 2*b).\nAnswer: 328*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.14+3549585\nAnswer: 3549585.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1405, -2760, -4057, -5290, -6453?\nAnswer: -7540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*2\/(-54))\/((96\/18)\/8)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 1. Let f(l) = -8*l + 4*l - 4 + 0*l. What is f(g) + 2*m(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -40*x**2. Let u(b) = 51*b. Determine u(f(m)).\nAnswer: -2040*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1909371 and 1912?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22012222221 (base 3) to base 15.\nAnswer: -32e41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-60)\/9)\/(4\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 659643451 to the nearest integer?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4372260179 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 283539 to the power of 1\/2, to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - t - 941 = 0, 16*k + 3*t = 11*k + 2325. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 26*t**3 + 7*t**2 + 7*t + 7. Let z(f) = 13*f**3 + 4*f**2 + 4*f + 4. Give 4*v(l) - 7*z(l).\nAnswer: 13*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 - (-54)\/24. Let b be -1 + g - -1*2. Suppose -b*z + z = -10. Solve 3*p - 3*q = 9, 3*p + 2*q + z = -2*q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 44. Calculate the greatest common divisor of 63 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*-19781749.\nAnswer: -296726235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/(-2))\/(5\/2 - 3). Let v(k) = 3*k**3 - 4 + n*k**3 - 11*k**3 + 6*k**2. Suppose 3*w = -2*i + 6*w, 2*i = -4*w + 28. Calculate v(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 15\/4 of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 - -110. Let f be (8\/(-6))\/(8\/(-66)). Let s = l - f. Calculate the greatest common divisor of s and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29492120 divided by -5138\nAnswer: 5740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**2 - 6*t. Let o(g) = -5*g**2 - 7*g + 1. What is -2*o(f) + 3*x(f)?\nAnswer: -2*f**2 - 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**6)**37\/(y**(1\/19)*(y\/((y\/y**(-5\/12)*y)\/y)*y)\/y))**(-28) assuming y is positive.\nAnswer: y**(294679\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-2 - r + 2 + 6*r + 5*r + 11*r + (3 - 2 - 3)*(3*r - 4*r + 0*r)).\nAnswer: -23*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1\/7 (c) 9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 21*d**2 - 21*d + 27. Let n be f(-22). Let c be (1\/n)\/(49\/(-245)). Sort -3, c, -42.\nAnswer: -42, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5747.2 - 5747. Let k be 0 + 26\/22 + -1. Which is the closest to -2.4? (a) p (b) -2\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1873.\nAnswer: -1\/1873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9314*m**2 + 256 - 128 + 3493*m**2 - 128 + (4*m + 0*m - 3*m)*(-1 + 1 + m).\nAnswer: 12808*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 905 = -9*o. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(6) - (sqrt(864)*-2 - sqrt(864) - sqrt(864) - sqrt(864))))**2 + 2.\nAnswer: 7447\/3721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 429363 + -199704. Suppose h + 371341 = 5*i. Suppose -u + i - 412200 = 0. Round u to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 - 84. Solve 3*o**2 + 10*o**4 - 8*o**2 - 3*o**2 + 5*o - 2*o**2 - p*o**5 = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r - 2. Let t be (-37)\/6 - (-19)\/114. Let b(s) = 9*s - 4. Give t*b(o) + 13*c(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbyryyu. What is prob of sequence rb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 218737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*b + 31 - 104 = 0, 4*b = -2*o + 34. Let r be (49\/o)\/((-2)\/(-18)). Solve -3*c - r = -6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -7 - (-1 + (2 - 6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.2, 0.4, -1\/5, 0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 4*n - 2*n)*((27 - 11 - 4)*(n + 4*n - 6*n) - n + 3*n + 0*n).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1469746142 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 87 = 3*b, -3*m + 82 = -5*b + 3*b. Let j be 38\/(-6) - 16\/m. Let p(q) = -3*q - 8. What is the units digit of p(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 + 93. Let c = 8.5 - 0.5. Let w = c + -7.6. What is the closest to 0 in 0, w, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49994171*k**3 - 3627*k + 4383?\nAnswer: -299965026*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 6*s + 7. Is d(5) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 677, 1810, 3737, 6656, 10765?\nAnswer: 16262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 4*f**2 - 8*f + 24. Let x be i(-6). Solve -4*p - 4*c = -8*p + 40, x = p - 2*c - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 10 - 9\/2*z**2 + 8*z + 26\/3*z**3 + 9\/4*z**4. Let r(i) = -3*i**3 - 9*i**2 + 3*i - 3. Let o(b) = 17*r(b) + 6*u(b). Factor o(m).\nAnswer: 3*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000129547 rounded to seven decimal places?\nAnswer: -0.0001295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 226, 473, 722, 973, 1226, 1481, 1738?\n\"Answer: i**2 + 244*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3269856 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -444111 = 5*y + w - 2851552, -2*y = 3*w - 962992. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1114007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 2\/32741517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.6, 2, -56?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 2*r - 7, r + 2*r - 2*b + 18 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 16*a - 51. Give c(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + 38. Let q(d) = g - 43 - 5*d - 28. What is the remainder when q(-8) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + j**2 - j. Let y(h) = 24*h**3 - 12*h**2 + 12*h. Determine -12*l(g) - y(g).\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101 - 111?\nAnswer: -1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 - 5*t**3 - 4*t**3 + (-2*t + 9 - 9)*(-2*t**2 + 2*t**2 - 2*t**2) + t**3 - 2*t**3 + 0*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1253694 is divided by 7777.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - ((-488)\/(-111))\/((-15)\/(-18)). Let h = w - -7442\/14245. Find the common denominator of h and 71\/66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -50, 12, 0.2, 2\/17 in descending order.\nAnswer: 12, 0.2, 2\/17, -19, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) -2\/11 (b) -7 (c) 2 (d) -220.48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 4, -3 in ascending order.\nAnswer: -6, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/21)\/((-680)\/476)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2476 + 14767\/6. Find the common denominator of d and -45\/3286.\nAnswer: 9858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 72 = v, f + 484 = 5*v + 52. Suppose -5*w + 2*t = -v, 0 = w + t - 2*t - 18. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -112 and -6777.\nAnswer: 759024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -252 divided by 6\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.113439 rounded to four decimal places?\nAnswer: -0.1134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 65959, 106194, 146429, 186664?\n\"Answer: 40235*i + 25724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 - 17*i**2 + 106*i - 454. Give k(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 13 - 9. Let k be -5 - (-6)\/2*v. What is the units digit of (50\/k)\/(((-1)\/(-20))\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 1:31 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4813 + -59.\nAnswer: 4754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 - 8. Let h(y) = -2*y + 20. What is i(h(w))?\nAnswer: 12*w**2 - 240*w + 1192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 8\/9, -1, -9085?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1 (c) -0.099\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 897 = 408*u - 477*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 18*v + 2. Let z be u(1). Let p be z\/12*(-6)\/15. Let d be (2*(0 + -1))\/5. What is the third biggest value in p, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 758, 761, 766, 773, 782, 793?\n\"Answer: v**2 + 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + l - 15 - 18 + 7 - 11.\nAnswer: l - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (158688\/60)\/(3\/10). Suppose -4*z + z + 6 = 0, 0 = 2*j - z - u. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4472, 35779, 120794, 286385, 559420, 966767, 1535294?\n\"Answer: 4478*r**3 - 14*r**2 + 3*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 27*a + 0 + 4 - 26*a - 2*a**2. What is the first derivative of b(u) wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 - 57.09. Let h = 27.09 + c. Let f = h - 26.1. Is f >= -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**5\/5 - 4574*x**4\/5 - 5105653*x**3\/5 + 284669428*x**2\/5 - 5161872196*x\/5 + 30928146496\/5 = 0?\nAnswer: -2314, 16, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 3:07 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4011072, 4011086, 4011100, 4011114?\nAnswer: 4011128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (21*34\/1428)\/((-10)\/4)*125?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2271946980 to the nearest one hundred thousand.\nAnswer: -2271900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6863*q**2 - 13620*q**3 + 14172*q**3 + q**5 - q**4 + 37*q**2 wrt q.\nAnswer: 60*q**2 - 24*q + 3312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7651143 centimeters to millimeters.\nAnswer: 7.651143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58622571 and 797586?\nAnswer: 117245142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 1. Let i(m) = -24. Let s(v) = i(v) - 6*o(v). Let u(p) = -31*p - 91. Let h(b) = 11*s(b) - 2*u(b). Let g be h(-4). Solve -r + 12 - 8 = g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 11:28 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -47. Suppose 215 - 578 = -r*i. What is the greatest common divisor of 4 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 15) to base 2.\nAnswer: 1011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 11:25 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1662 (base 7) to base 14\nAnswer: -369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -15*b - 16. Let r(d) = 1. Let f(m) = g(m) - 3*r(m). What are the prime factors of f(-7)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + q - 5, -9*q + 26 - 37 = 2*p - 21 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6002 divide 1559390183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 29222.82 to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p**3 - 8*p**2 + 10*p. Let i(c) = -4*c**3 + 4*c**2 - 5*c. Calculate -11*i(x) - 6*s(x).\nAnswer: 2*x**3 + 4*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*q + 36000 = 0, 4*w + 24000 = 2*w - q. Round w to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9997499256 and -3.\nAnswer: 9997499253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 58, 1\/10, 0.2, 40, 0.4 in descending order.\nAnswer: 58, 40, 25, 0.4, 0.2, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 12446 = -3*v + 12355, 3*v - 105 = -54*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -7. Let q be (-4)\/(-6)*m\/2. Let t(g) = -9*g - 48*g**3 + 47*g**q - 7*g**2 + 3*g - 7. Determine t(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52310 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 + -55. Suppose -3*l - 3*d = -20 - 1, d = -4*l + t. Calculate the least common multiple of l and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -151 greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -653 - 841 = 9*r. Which is greater: r or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**5 + 3431*c**4 + 2*c**3 - 42718*c**2.\nAnswer: 60*c**2 + 82344*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4)*j*j**(4\/3)*j*j*j\/(j**9\/j*j)*j*j**(-1\/6)*j assuming j is positive.\nAnswer: j**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*y + 90, 1049*y = -4*c + 1052*y + 54. Find r, given that 4*r + c + 1\/4*r**4 + 7\/2*r**3 - 31\/4*r**2 = 0.\nAnswer: -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, k: 1, d: 7, h: 8, p: 1}. What is prob of picking 1 d and 1 k?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4 = 4*r + 2, -5*u - 5*r = -15. Solve u*c = 4*c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147657365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29573, -59097, -88523, -117803, -146889, -175733, -204287, -232503?\nAnswer: -260333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**3\/3 + 4*n. Let q be s(3). What is q rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuui when four letters picked without replacement from {i: 6, u: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 914339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*x + 74, 2*b = 7*b - 5*x + 410. Let g = b - -1106\/13. Let l = 97\/78 - g. Is -2\/9 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyryksbbydrsbd. What is prob of picking 1 s, 2 d, and 1 y?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from qksssxzssqsssssss.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/224)\/((-1)\/(-6))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 4821693?\nAnswer: -1\/4821693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174473 is divided by 721.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.0276*1\nAnswer: -0.0276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 3\/67 (c) -0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**2 + 3*f + 6. Let b be (2\/1 + -1)*-5. Let z(n) = -6*n**2 + 6*n + 12. Let k(t) = b*a(t) + 3*z(t). Solve k(w) = 0 for w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.46.\nAnswer: -0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 79579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*u - 38 - 5 - 59*u - 8*u - 30 as d*u + s and give d.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41.38 and 11918?\nAnswer: -493166.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -7)*(-12)\/10. Suppose 15 = -4*o + 3*m, 7*o + 20 = k*o + 4*m. Which is the fourth smallest value? (a) o (b) -4\/7 (c) -10 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1056*a = 1012*a + 968 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 263, 1076, 2439, 4358, 6839, 9888, 13511?\nAnswer: 17714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2838 + 712 + 710 + 533772*t + 707 - 533801*t + 709.\nAnswer: -29*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1*m)**19\/((m**(-2\/5)\/m)\/m)**(-1\/7))\/((m**(-4)*m)\/(m\/(m\/(m\/((m*m*m\/(m**7\/m))\/m*m)))*m)*(m**(-2\/5))**(4\/19)) assuming m is positive.\nAnswer: m**(30418\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4081, -8167, -12253?\n\"Answer: -4086*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.4 (b) 6\/5 (c) -4 (d) 2.2 (e) 0.32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z + 4*z - 29862. Calculate the remainder when z is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 - 9*n**2 + 2*n**2 - 2*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k**4 + 11*k**4 - 5*k**4 + 7*k wrt k?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.03 (b) 1 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 + 3*d**2 + 618 - 2*d - d**2 - 732 as t*d**2 + z + g*d and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/5)\/(-5 + 156\/30). Sort -3, -1, a.\nAnswer: a, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 26 - 5 - 2*k**2 - 2*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/11, 26, 2\/3, -11.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*m - 121, -1 = -m + i + 26. Suppose m = q + a, 5*q - 160 = -0*q + 4*a. Let u = 38 - 27. Calculate the remainder when q is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from vrrrrvrr?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-20)*o**(-1\/32)*(o\/o**(-17))\/(o*o**(-3\/4)\/o) assuming o is positive.\nAnswer: o**(-41\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.59271 milliseconds in microseconds?\nAnswer: 592.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88962929?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.02796 + -39?\nAnswer: -40.02796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 9*d**3 + 52*d**2 - 7*d - 7. Let g(z) = 8*z**3 + 51*z**2 - 6*z - 6. Calculate 7*g(c) - 6*y(c).\nAnswer: 2*c**3 + 45*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**3 - p**2 + 1. Let t be w(1). Suppose -t*z + 9*z = -5*l, 0 = -z + 3*l + 8. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*4)\/(4 - -10)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1809 - 5411\/3. Factor w*h - 4\/3*h**2 - 16\/3.\nAnswer: -4*(h - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t - 2*t - t + (-3*t + 3*t - t)*(-1 + 0 - 1) + 2 + t - 2 + 27*t - 1507 + 12*t + 4685 + t - 1937 in the form i*t + v and give v.\nAnswer: 1241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5*6\/9*(-99)\/(-132)*48\/(-95)\nAnswer: 24\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27721 is divided by 3895?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 1745873 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1544 and 489255?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -12805?\nAnswer: -1\/2561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55180893 a multiple of 831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 36 = -4*k - 3*w, -3*w = -238 + 169 + 120 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/3)*c**24*c*(c\/(c\/(c\/c**(-1\/6))))**14)**30 assuming c is positive.\nAnswer: c**1230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 11 = -5. Solve -4*y = -2*i - 6, -12 = -t*i - y + 3*y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -77c + 25?\nAnswer: -757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.314067 kilometers?\nAnswer: 8314.067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h + 6 - 5 - 1.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) + (-13)\/4. Sort -0.2, 4, t, 4\/7 in ascending order.\nAnswer: t, -0.2, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547126543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 37 = -3*r, 298*q + 9 = -4*r + 293*q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + k - 9 = 0, l - 2*k = 6*l. What is the units digit of 1\/(l + (-267)\/(-132))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 356 * -38.134\nAnswer: -13575.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1338360 is divided by 55765.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {d: 7, p: 2, v: 4, j: 3, l: 2}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 2*(-30)\/3. Let s be (-3 - -2)*(-2 + i). Suppose 0 = 3*t - s - 7. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -2\/25, -0.0185?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/5, -5, -9\/4, -28, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 4 = r. Suppose -5 = 4*x - 3*x + g, -2*x + r*g - 26 = 0. What are the prime factors of x + 13 + (-1 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 5*k + 50, 6*k = 8*k + 8. Let j be (-1)\/p*-9 - 9\/(-6). Let x(u) = u + 20. Calculate x(j).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o**4 - 6*o**2 + 54199*o - 8407728 wrt o?\nAnswer: 4*o**3 - 12*o + 54199","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + 2110e6?\nAnswer: 2110e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102 + 107. Solve -o*g - 9 = 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 539958267*a**2*i**3 + 35423*a**2*i**2 + 37*a**2*i + 2*a**2 + 3*i**2 + i - 1 wrt i?\nAnswer: 3239749602*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-3) - (-2 - -1). Solve 3*p - y*p = -6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10057 divided by -9?\nAnswer: -10057\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 1 = -7, 4*w - 86 = -u. Let c = w - -71. Does 31 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -3*k**2 + 3\/20*k**5 + 0*k + 5\/24*k**4 + 0 - 1\/3*k**3 - 1\/24*k**6 - 1\/30*k**7. Factor l(i).\nAnswer: -(i - 1)*(i + 1)**2*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3304*y**2. Let d(p) = -213*p - 10. Let t(c) = -256*c - 12. Let o(s) = 6*d(s) - 5*t(s). Give o(z(l)).\nAnswer: 6608*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*(1*sqrt(65)\/sqrt(5))**2 + (2*sqrt(65) - sqrt(65))\/sqrt(5) + (sqrt(26)\/sqrt(2) + 0)**2 + 1)*-4.\nAnswer: -960 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6*h**(-2))\/(h\/(h*h**(-1)*h))**46 assuming h is positive.\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**5 + 189*i**4 - 2880*i**3 - 3072*i**2.\nAnswer: -3*i**2*(i - 32)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 6 + 16 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 2:21 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**5\/20 + w**4\/4 - w**3\/2 + 3*w**2\/2 - 8*w + 13. Let k(h) be the first derivative of t(h). What is k(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8989*r - 71649. Calculate h(-8).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227 = 53*w + 91 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2043901 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r - r + 6 + 2*r. Is c(-5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4352 and 3?\nAnswer: 13056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 122*n**2 + 1 + 562*n**2 - n**3 - 673*n**2 - 13*n. Calculate y(9).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 123514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 109*i - 107*i + 30, 4*r + 2*i - 34 = 0. Solve r*u = 39*u - 124 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.22?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 10454.45 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 3*s + 0*s)*(-3 + 3 + s) + s - s**2 + 4*s**2 - 4*s**2 + (-s + 0*s - s)*(2*s + 7*s - s) + 16*s**2 + 11*s**2 - 3*s**2.\nAnswer: 5*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14989314.\nAnswer: 2, 3, 2498219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2. Let t(w) be the first derivative of 5\/2*w**2 + 3 + 0*w. Calculate n(t(f)).\nAnswer: 75*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) 0.8 (b) 4 (c) 0.06 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 = o - 4*f - 1115, -5*f = 10. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.8975 + -17.5. Let v = d - -1.836. Let t = v + 0.81. Round t to three decimal places.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119471387 and 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (8 + -22 - -22)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13441, 19511, 25581, 31651, 37721, 43791?\nAnswer: 49861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1366874?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10619, 1, -16\/7 in decreasing order.\nAnswer: 4, 1, -16\/7, -10619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -168.429919 - 414.5\nAnswer: -582.929919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*p**4 + 428\/5*p**2 + 352\/5*p + 16*p**3 + 0.\nAnswer: 4*p*(p + 1)*(p + 8)*(p + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 978054?\nAnswer: 2, 3, 7, 11, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -67.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 81?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8907.716ml to litres.\nAnswer: 8.907716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27299 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -13*j**2 + 4207 - 10*j**2 - 4207. Let u(c) = -2*c. Calculate u(n(s)).\nAnswer: 46*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t + 9. Let h be 1\/5 + (-24)\/(-5). Let w(r) = r**3 + 6*r**2 + 7*r + 91. Let i be w(-7). Let a(f) = 4*f + 13. Determine h*a(k) + i*d(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39\/2 + -185\/9. Let n(h) = 708*h**2 + 3*h - 5. Let c be n(-4). Let x = 113003\/10 - c. Calculate the common denominator of x and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.3164 - 14.77. Round d to two decimal places.\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111 + 224321143?\nAnswer: 224321032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10173119 is divided by 1695517?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/70087190 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7406 is divided by 66.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9086039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m**5 + 28*m**4 + 924*m**3 - 6124*m**2 + 7532*m - 2352 = 0.\nAnswer: -12, 1\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 10740696.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 853195322?\nAnswer: 2, 7, 41, 1486403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-18684)\/(-7) + (-9)\/126*2.\nAnswer: 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 35 = -o. Suppose -f + 19810 = -o*t, -f + 6*f = 5*t + 98950. Suppose 5*q - 2*i = 3*i + 19740, -5*q - 4*i = -f. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p. Let u(j) = j**3 + 12*j**2 + 18*j + 17. Let h be u(-11). Let b = h - -39. Let l(z) = -22*z. Calculate b*k(y) + 3*l(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-42) + (-3)\/9.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2550 at most as big as 1138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + 3.67. Round q to 1 dp.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.7324 - -0.7324. Is t at most as big as -5\/121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6597784 by -3298892.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 + 2 + 6 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -120, -117, -112, -105, -96?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-3) + 69\/(-9)*-3. What is the closest to c in -0.5, -5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1699031 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 1, g: 1}. Give prob of sequence jgo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*((-1*sqrt(33))\/sqrt(11) - (sqrt(3) - (sqrt(3)*2 + -5)))**2.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 12 = 2*c, -c - 27 = -4*c + 3*f. Let z(r) be the second derivative of 0*r**3 + 0 - 1\/35*r**5 + r + 1\/14*r**c - 1\/7*r**2. Solve z(l) = 0 for l.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2689.66479 + -207.\nAnswer: 2482.66479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 436*h + 7 + 685*h + 119*h - 17.\nAnswer: 1240*h - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 5*b**2 - 5*b - 7. Let t(z) = z**3 + 6*z**2 + 6*z + 8. Let h be -19 + (-4)\/(12\/(-9)). Let u = h - -10. Determine u*m(k) - 5*t(k).\nAnswer: k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 13190*k - 8698805.\nAnswer: -5*(k - 1319)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 336749, 336738, 336739, 336758, 336801, 336874, 336983, 337134?\n\"Answer: f**3 - 18*f + 336766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*g - 22. What is the greatest common factor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2305.05 from -1.\nAnswer: -2306.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 12.95. Let v = d - -0.05. Which is the third smallest value? (a) -0.3 (b) v (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32287318 is divided by 195?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7440 divided by 496\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 10*d**2 + 10*d + 13. What is the lowest common multiple of 26 and p(-9)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/6 and 83\/2100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4855*o - 2812*o = -100107 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + -4. Let x(q) = 5*q - 25. Let z(b) = -b + 5*b + 6 - 2*b - 3*b. Let j(f) = n*z(f) - 2*x(f). Give j(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 0, -4\/9, -0.3, -56 in decreasing order.\nAnswer: 3\/5, 0, -0.3, -4\/9, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-196)\/(-132) + 12\/(-18). Is 0.1 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3515 divide 2755577220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by (-63)\/6*(-128)\/56.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5391*s**5 - 55*s**2 - 15*s - 2.\nAnswer: -323460*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 49*c - 686. Calculate b(40).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/153 (b) 0.05 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -611*o + 68492. Let n be j(112). Let r be (-1)\/2 - 2\/(-6). Which is the second smallest value? (a) -1\/3 (b) r (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.940595525 minus 35?\nAnswer: -37.940595525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*f**3 - 14*f - 86*f**2 + 86*f**2 wrt f.\nAnswer: -192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155a (base 11) to base 10\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/133 - (1 - 24\/21).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50758560 divided by 50256.\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31837 (base 16) in base 10?\nAnswer: 202807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((5 - -194)*-2)\/(-1 + -1). List the prime factors of 3 - (6 - 5 - v).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26809838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2652)\/(-3366) + (24\/44 - 0)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 3*h - 2. Let u be (19 + -22)\/(1 + -2). Let x(p) be the second derivative of p**3\/2 + p**2 - 27*p. Determine u*x(l) + 2*o(l).\nAnswer: 2*l**2 + 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 4 + 49 = 115 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 828*l + 1425. What is the thousands digit of k(75)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287*y = -290*y + 1110. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 332*k - 677*k + 340*k. Let l(h) = -24*h. What is l(q(n))?\nAnswer: 120*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*t - 73 + 5 = 0, -5*t = -5*v + 75. Suppose -4*u = -5*b + 196, -2*b + 2*u = 4*u - 82. What is the remainder when b is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 times -4?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -0.3 (c) 272 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + b194?\nAnswer: b191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*v**2 - 387*v**2 + 204*v**2.\nAnswer: 114*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -70*u + 1. Let k be h(-6). Suppose -g - k = 179. Round g to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5943, 7169, 9215, 12081?\n\"Answer: 410*o**2 - 4*o + 5537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 7 = -1, 105 = 3*q - 3*a. What is the remainder when q is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from wcccwccccccccccccccc.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -7\/160*p**5 - 3\/320*p**6 - 1\/12*p**3 + 5 - 1\/12*p**4 + 7*p**2 + 0*p. Let l(m) be the second derivative of f(m). Factor l(q).\nAnswer: -(q + 1)*(3*q + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3135943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -619, -608, -591, -568, -539, -504, -463?\n\"Answer: 3*t**2 + 2*t - 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 8*k - 12. Let q(a) = a**3 + 5*a**2 + 4*a - 1. Let b be q(-4). Let x(u) = u - 1. Let j be -18 + 4 - (-10 - -2) - -16. Give b*p(c) + j*x(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-63)\/(-12) + (-1)\/4. Suppose -o + c + 7 = 2, -t = -o - 4*c. Let x be (1 - (-5)\/15)\/(1\/3). Solve x*f = -o*l - 0*l - 17, 2*f - 9 = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11*(-5)\/10*2. Suppose 2*c + 2*c = -36. Let f = c - b. Solve -i + 1 = -2*i, -3 = f*r + i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 49*k + 13*k**3 - 4*k**2 - 7*k**3 - 9*k**3 - 5 - 44*k. Determine u(2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23252108, 23252107, 23252106, 23252105, 23252104, 23252103?\nAnswer: 23252102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175972*5.\nAnswer: -879860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -21. Let t = l + 8. Let g = t - 11. Which is the closest to -2\/5? (a) 1\/5 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666 = 126*x - 15*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2 + 2*z - 2. What is s(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31019210605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*q**5\/2 - 643275*q**4\/2 + 385905*q**3 - 154354*q**2 + 20580*q.\nAnswer: q*(q - 5145)*(5*q - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42820854 divided by -455541?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1411032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*(t*t*t**(1\/3)*t)\/t)\/t)**1)**(1\/12)*(t**0)**(-9)*(t*t\/(t**6*t))\/(t*t**6) assuming t is positive.\nAnswer: t**(-211\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 301831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 376783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 3. Let y be x(-8). Suppose -24*g - 3*l = -29*g + 1, -20 = -4*g - 4*l. What is the least common multiple of 27 and (g - 1)*22 - y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2. Let o(l) = l - 1. Let h(s) = 2*s**2 + 7*s - 7. Let z(a) = -6*h(a) + 42*o(a). Calculate q(z(c)).\nAnswer: -432*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxxsxsxxsx.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 68*i - 1961. Determine f(83).\nAnswer: -716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280653*o + 5*o**3 - 280653*o.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + -2.9. Which is the second smallest value? (a) -0.5 (b) -3\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l - 3 - 1 - 3. Suppose -26*j - 170 = -16*j. What are the prime factors of s(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1272072*j**3 - 9*j - 22187?\nAnswer: 7632432*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 0 - 3 - 4*m**2 + m**3 - 30*m + 31*m. Let q be h(4). What is the tens digit of -4*39\/(-6) + q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/(-1))\/(-2))\/(-203 - -204)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162 divided by 6.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 924.9273 seconds?\nAnswer: 924927300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 46*j + 94. Calculate d(43).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90189 = -4*m - 5*p, -m - 2*m - 5*p + 67648 = 0. Suppose 0 = 6*i - m + 4907. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*u + 2, -4*p - 2*u + 18 = -0*p. Suppose 32*d = 28*d + 72. Suppose d = p*i - 227. Calculate the remainder when i is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 3. Let w be 6 - (r + 3)*0. Solve 0*d - 5*m + w = -d, 0 = -4*m + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2115418?\nAnswer: 2, 157, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18979*l**4 - 3255*l**3 - 90824454*l?\nAnswer: -227748*l**2 - 19530*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 - 25*v - 5. Let l be 4 + -9 + (3 - 6). Let p be j(l). Suppose 3*f - 9 = p*z, 3*z = -z. Solve 3*k + 0*k - b - 16 = 0, 12 = -f*b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -104*j**3 + 19653*j**2 + 567*j + 23. What is l(189)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 443 = 2*q - 3*q, -608 = -4*l - 3*q. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 876 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 172.298 - 0.298. Let h = w - 288. Let u = h + 116.059. What is u rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(9\/(-4)*4). Put 1, 1\/6, -0.05, z in decreasing order.\nAnswer: 1, 1\/6, -0.05, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(128) + (sqrt(2) - sqrt(20)\/(sqrt(90) + sqrt(10))).\nAnswer: -29*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.54 take away 52711560.4202?\nAnswer: -52711560.9602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 1, -11, -15, 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/4)\/((-843)\/4496). Solve -j*c + 8 = 2*t, 0 = t - 176*c + 180*c - 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 9. Let a be y(-9). Let f = a + 3. Find the second derivative of -3*n**4 - 3*n + 0*n**3 + 0*n**f wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 143 = 163 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -98. Let a = -44 + q. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 * 5.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/3)\/u**7 assuming u is positive.\nAnswer: u**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - u - 5*x = -7, 3*u - 7 = -4*x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 5 + 3. Let k(b) = b**3 - 7*b**2 - 7*b - 12. Let f be k(8). Let y be -2*(18\/24)\/(6\/f). Sort y, v, -4 in decreasing order.\nAnswer: y, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 79, 108, 137?\n\"Answer: 29*i + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13, 57, 113, 187, 285, 413, 577, 783?\n\"Answer: o**3 + 37*o - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50.7322 + 1.7322. Put 0, k, -4, 8, -0.4 in ascending order.\nAnswer: k, -4, -0.4, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + -5)\/(1\/2). Let a be (72\/16)\/(m\/(-4)). Let l(o) = -o**2 + 11*o - 15. Let k be l(a). Solve 4*c - k = 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36317237 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**4\/36 + n**3\/9 - 35*n**2\/6 - 193*n. Find s such that v(s) = 0.\nAnswer: -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 317\/37, -2\/11, -2, -1 in increasing order.\nAnswer: -2, -1, -2\/11, 317\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 11*j**2 + 15*j + 12. What is the hundreds digit of i(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - b**2 + 10*b. Give m(-7).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/w**(-3)*w)*w*w*w**8)**(-9) assuming w is positive.\nAnswer: w**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7245 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 448731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20\/23 + -77\/115. Let 1\/5*g**4 + 0 - 1\/5*g**2 + 1\/5*g**3 - y*g**5 + 0*g = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**2 - 38079*i + 53610564 = 0?\nAnswer: -13972, 1279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.1 + 21. What is the third smallest value in n, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93\/(-33) - -3 - (-450)\/66 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.4 - -0.6. Let u = -1.7 + f. Which is the closest to 0.1? (a) -3 (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 162*j**4 + j**3 + 1546*j + 1603. What is the derivative of d(g) wrt g?\nAnswer: 1944*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/363, -2\/31, 0.2?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 2 (c) -1 (d) -18 (e) -2 (f) 379\/6 (g) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -31. Suppose 3*b - 9 = z. Solve -15 = b*j - 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s + 6. Let x be c(-4). List the prime factors of 1\/(3\/x) - -21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 6) to base 9.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 28*p + 143. Determine w(-27).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qii when three letters picked without replacement from xxxiixxiiiiqxxxiiix.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-11)\/66)\/((-1)\/((-4)\/86)). Let d be 6*(-3)\/(-9) - 3. Which is greater: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -10011?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, h: 8, r: 2}. What is prob of picking 3 c?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/8 and (5 + 1)\/((-260)\/(-45)).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*(-58 + 87 + -37)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5 - (-1 - -1))*28 is divided by 51?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d - 15*d + 46 + 3*d + 4*d.\nAnswer: -d + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 29.15632km?\nAnswer: 29156320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 20*b**2 + 11*b + 282. Give n(21).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(432) - sqrt(432)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17097, 16875, 16647, 16413, 16173, 15927, 15675?\nAnswer: 15417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10020485*b**3*v + 19547329*v wrt b.\nAnswer: -30061455*b**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**2 - j + 13. Let y(p) = 6*p**2 + p - 14. Suppose 2*s + 2*x = 16, -2*s - 30 + 22 = -4*x. Determine s*b(z) + 3*y(z).\nAnswer: -2*z**2 - z + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -9.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4805 or 25.73?\nAnswer: 25.73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17057 is divided by 1319?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 46\/299 - (-126)\/26. Let v(b) = -b - 1 + 2*b**3 - 5*b**3 + 5*b**2 + 2*b**3. What is v(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(5 + 0 - 3)*(5*g**3 - 5*g**3 + 2*g**4) + (4 - 4 + g)*(g**3 + 4*g**3 - 4*g**3) + g**2 - g**2 + 2*g**4 - 2*g**4 + 0*g**3 + 0*g**3.\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6771 + 6767. Suppose -4*n - 12 = -4*u, 7*n - u + 7 = 2*n. Sort 5, n, -5, i in increasing order.\nAnswer: -5, i, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14232 divided by -4744\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/4 - 25*u**3 + 49*u**2\/2 + 25*u - 99\/4.\nAnswer: (u - 99)*(u - 1)**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436*d - 358*d = -234 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 42*l - 2555. Let o be v(56). Let d(p) = 1189*p**2 + 203*p + 203. Let y(r) = -35*r**2 - 6*r - 6. Calculate o*y(j) - 6*d(j).\nAnswer: -29*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20142? (a) 4\/5 (b) -0.4 (c) -0.5 (d) -15\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6048 divided by 1512\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 3) in base 6?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9783?\nAnswer: 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -21, -2, 14?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r - 8 = 3*y, -3*r = -4*y - 5. Let s be y + (-4)\/2 + 4. Let c = -1 + 2. Is c equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 34*z**2 + 2*z + 1. Suppose -5*x + 16 = -x. Suppose 3*w - 1 = -x. Is r(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-24) - (-4270)\/21. Which is bigger: 614\/3 or m?\nAnswer: 614\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.25, 0.2, 5, -87, -5, -2?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 457673 - 856937. Let i = t + 399263.649982. Let b = i - -0.35. Round b to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -15. Which is the second smallest value? (a) i (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dood when four letters picked without replacement from {d: 2, o: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*h = -22*h - 5*p - 7, 4*p = -59*h - 102*h + 318 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -82*x + 411. What is w(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2351.\nAnswer: 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 791.\nAnswer: 3164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 10*i**3 - i**2. Let q be s(1). Let l = 3 - q. Let a(f) = 7*f - 13*f + 4*f + 3 + 3*f. What is a(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 59, 0 in ascending order.\nAnswer: 0, 3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-26)*f))**(-2\/7) assuming f is positive.\nAnswer: f**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42586\/3 + -14192. Let i(j) be the second derivative of 0*j**4 + 0 - 21\/20*j**5 + 10*j - f*j**3 + 0*j**2. Find the second derivative of i(p) wrt p.\nAnswer: -126*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.58 - 5.88. Let g = v - -5. What is the second biggest value in -2, g, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21869594*i**2 + 12142509?\nAnswer: -43739188*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 6:14 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1344495137\/(-41235000) + (-2)\/(-6). Let j = t + -4989\/21992. Let g = j + -1\/1250. Find the common denominator of g and 63\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + -2*1*sqrt(539)) - (1 + -4 + sqrt(539) + 1*4*sqrt(539)).\nAnswer: -105*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 8 (b) -84 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 723 + -52057\/72. Let j = -25\/72 - o. What is the second biggest value in j, -2, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/3)*v**6)\/(v**(1\/2)*v**(-5)))**(-4) assuming v is positive.\nAnswer: v**(-130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -134536000 to the nearest one million.\nAnswer: -135000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5756641 and 2616655.\nAnswer: 28783205","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is -479 divided by 5?\nAnswer: -479\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4980)\/(-828))\/(-83)*2\/(-10).\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/(-22) - (-105)\/(-1155). What is the nearest to b in -7, -1\/3, -4, 4\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n*n*n\/n**30*n)\/n))\/n**(-38))\/(n*n**21)**(-1\/32) assuming n is positive.\nAnswer: n**(1051\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4931 a factor of 241514433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -126213 - 2?\nAnswer: -126215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - -1113. Let j = 137 + c. Suppose -50 - j = -11*n. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 56*s**2 + 18*s + 64. Give o(-4).\nAnswer: 888","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 7*h - 14. Calculate b(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v - 11 + 17\/3*v**3 + 0*v**2. Let r(w) = w**2. Determine c(r(g)).\nAnswer: 17*g**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 + 2*g + 2. Let a be u(7). Suppose p - 3*z + 22 + 20 = 0, 0 = -3*p + 5*z - a. Let k = -12 - p. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12164 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -65*q + 69*q - 8. Suppose -2*j - 436 = q*j + 4*t, j + 105 = 3*t. What is the tens digit of 1\/(2\/(-8)) - j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s - 1104 - 176. Let c = -131 - s. Let u be (c - (-51)\/5)\/((-4)\/(-10)). Are 19 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f. Let r(x) be the third derivative of x**5\/60 + 513*x**4\/8 + 70*x**2 + 17. Give l(r(z)).\nAnswer: 3*z**2 + 4617*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3 = 0, -4*m + 0*m + 17 = h. Suppose 5*d + 29 = m*p - 25, 3*d = p - 17. Let o = -6 + p. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 6 + 16 - -10\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*q = -34*q + x + 14423, 21632 = 3*q - x. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**2 - 4 - c**2 - 3*c**2 + 2. Suppose 5*k - 4*t = -21, -17 = -3*k + 2*t - 7*t. Let i be (2 + k + -1)\/(-3). Calculate a(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 243 - 2185\/9. Let s(p) = p**2 - 2*p - 3. Let z be s(3). Is v less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 37 = 3*o, 18 = -2*o - s - 5. Let i be (o\/18)\/((-66)\/27 + 2). Factor -u**5 + 0*u**2 + i*u**4 + 0 - 1\/2*u**3 + 0*u.\nAnswer: -u**3*(u - 1)*(2*u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -45*a - 1. Let z be 10\/(-14) - (-2)\/(-7). Does 22 divide s(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-30))\/((-386323)\/496701)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-45)\/10*3\/45. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 - 62. Suppose 0 = u*x - 7329 + 25037. Let z = 17617\/4 + x. Calculate the common denominator of 57\/7 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(1 - 3 - 2)*(2 - 2710*z - 1182*z + 975*z).\nAnswer: 11668*z - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 36 + -54 + 40 + (4 - -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11641, -11656, -11685, -11734, -11809, -11916, -12061, -12250?\n\"Answer: -i**3 - i**2 - 5*i - 11634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(1 - (-25)\/(-20)). Let l = -16 - -14. Let v be (-10)\/8 - (0 + l). Which is the nearest to -3? (a) -2\/13 (b) d (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0256, -1, -0.4, 0.1 in increasing order.\nAnswer: -1, -0.4, -0.0256, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from jjmjjjmjjjj.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.18 - -0.88. What is the biggest value in 6, y, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2468725 and 350.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/140, 5, -5 in decreasing order.\nAnswer: 5, 2, 1\/140, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1*(-2)\/7 - (12099\/3297 - 4) and -33\/2.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 732*t**4 - 572 wrt t?\nAnswer: 2928*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 - 2*p + 1. Let b be f(-3). Let d = 15 + b. Find the first derivative of 2*i**2 + i**2 - 6*i**2 + 4*i**2 + d wrt i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6569 - k**2 - 6569 + 13149 + 2*k. Determine r(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 - 291846221024?\nAnswer: -291846221023.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -6*x**2 + 2. Let j(w) = -17*w**2 - w + 5. Calculate 3*j(h) - 8*l(h).\nAnswer: -3*h**2 - 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b**2 - b + 2. Let l(z) = 17*z**2 + 3*z - 6. Let r be 4\/3 + 92\/(-69). Suppose 3*f - 2*f + 3 = r. Determine f*l(p) - 8*a(p).\nAnswer: -3*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2206.\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 825316?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*f - 86*f + 3*w = 57, -3*f + 45 = 3*w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 169606.77 microseconds in minutes?\nAnswer: 0.0028267795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 - -0.23. Let r = -0.5 + x. Round r to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1068424322?\nAnswer: 2, 7, 29, 109, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -10. What is the lowest common multiple of o and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 + 8*k**2 + 20*k + 17. Let z(x) = 3*x + 32. Let r be z(-7). Is d(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -58, -104, -148, -190, -230?\n\"Answer: t**2 - 49*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + ((3*sqrt(175) - sqrt(175))*-6 - sqrt(175)) + sqrt(1008)*-1 + -5*sqrt(63))*-6 + -1)**2.\nAnswer: -1044*sqrt(7) + 1907389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/8 - (-22)\/4. Suppose -l*m = -55 - 145. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*u**4 - 10*u**2 + 10*u**2 + (2*u**3 - 3*u**3 - u**3)*(-4 + 4 - u) - 2*u**4 + 2*u**4 + u**4 + 0*u**4 + 4*u**4 - 5*u**4 + u**4 - 2*u**4 + 3*u**4.\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43417688?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174983 is divided by 2057.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3003314 (base 5) in base 4?\nAnswer: 23203212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11085177*o**2 - 37782*o - 990 wrt o.\nAnswer: 22170354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 10:35 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {t: 4, b: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*-2*(-3)\/(-3). Let a(v) = -5*v - v**3 + 33*v**k - 10*v**2 - 17*v**2 - 3. Let z be (-27)\/(-5) + (-4)\/10. Give a(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.76 - -1.86. Let l be (-10)\/14 - (-2)\/(-7). Which is the nearest to l? (a) y (b) 1\/2 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + 3 + (-258 - -255)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2490 + -842. Find the second derivative of 1628*z + 12*z**4 - m*z + 2*z**4 wrt z.\nAnswer: 168*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 5*r**4\/24 - r**2\/2 + 4*r. Let z(q) be the first derivative of y(q). Calculate z(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4638279319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-49)\/294)\/(4\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9*c = -4*k + 2504, 2508 = 5*c + 3*k. Is 56 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 267 - 262. Suppose 9*d - 4*d - 20 = 0. Solve d - z = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 592432174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 327 + -2291\/7. Calculate the common denominator of 47\/8 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -159 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 108135778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -2*x - 4, -10764*w = -3*x - 10763*w - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14, 3, 32, 73, 126, 191?\n\"Answer: 6*q**2 - q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5 + 19*n**4 + 105*n**3 + 49*n**2 - 686*n = 0. What is n?\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:51 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-1295)\/37))\/(2\/(-210))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5926593823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2747448 and 2772?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -28. Solve 5 = -j + n*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -3\/2, 0.059 in descending order.\nAnswer: 0.059, -3\/2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10304 - 5?\nAnswer: 10255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)\/m)\/(m*m\/((m\/(m*m**(-26\/5)*m))\/m))*m**(5\/9)*m**(1\/5) assuming m is positive.\nAnswer: m**(-227\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7841 - 19522 - 30702 + 18992 - 9761 - 19018)*(q**2 + 4 - 4) to g + l*q**2 + p*q and give l.\nAnswer: -67852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 2*a**3 + 1. Suppose -2*o = j + 8, -4*j - 3*o = -4*o - 13. Let w(k) = -2*k**j + 0*k + k - k. What is w(s(d))?\nAnswer: -72*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-132)\/(8\/(-2)))\/(120\/(-80))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5934910 from -3035.\nAnswer: 5931875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 7:12 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**5\/140 + 125*k**4\/84 + 61*k**3\/21 - 124*k**2\/7 - 15*k + 142. Let i(j) = 0. Calculate j.\nAnswer: -124, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0309363g in micrograms?\nAnswer: 30936.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3838 (b) -397 (c) 3 (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/18)\/(4\/18). Put -2, l, -17 in increasing order.\nAnswer: -17, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1454*f + 244281. Determine g(-168).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3270\/13 in 5, 2\/5, -14.498?\nAnswer: -14.498","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1876*r**2*y**2 - 153*r*y**2 - 2*y**2 wrt r?\nAnswer: -3752*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 6*y**2 + 4*y - 4. Let z be i(6). Let a be 48\/20*z\/(-6). Let f = 4 + a. Put -5, 1, f in decreasing order.\nAnswer: 1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 3*f**2 + f - 2. Let q = -175 + 177. Let r be (q\/(-4))\/(-8*(-6)\/288). Calculate m(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -904 = -n + 190. Suppose 3*d = -2*d - 2*o - n, 0 = 5*d + 4*o + 1088. Round d to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 0*d**3 + 4*d**2 + 3*d + 1\/12*d**5 + 55\/24*d**4 + 0. Suppose u(t) = 0. Calculate t.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 4*v**2 - 5*v. Let u = -33 - -28. Let q be l(u). Suppose -4*t + 7*t - 81 = q. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 10*h - 8. Let o(b) = 1530*b**2 + 4*b - 3. Is o(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**3\/5 - 96*l**2\/5 + 198*l\/5 - 20 = 0.\nAnswer: -50, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/177800 and 67\/320040.\nAnswer: 1600200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-78)\/12 + 2)\/((-3)\/8). What is the remainder when (3\/6 + 2)*t\/2 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/((176\/(-35057))\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31164496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, m: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 8*k**2 + 9*k + 2. Let z be d(9). Determine l, given that -3*l**2 + 4*l**z + l + 5*l**2 - 2*l**2 = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -188\/7 + 185\/7. Suppose 0 = v - 1 - 0. Is v >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -349651\/71720 + 2\/8965. Let q be (2696\/5)\/((-3)\/5). Let j = q - -16205\/18. Find the common denominator of b and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 53*w - 28. Let u = 52 - 48. Does 23 divide r(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/891 and -119\/270.\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 3:29 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 2*h - 5*c, -2*h + 230 = 3*c + 2*c. Let n = 103 - h. Let y be n\/(-4)*(13 - 13). Solve 0*j + 5*j - 5*s - 30 = y, 0 = 4*s + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 367136478?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**2\/(k**(1\/9)*k) assuming k is positive.\nAnswer: k**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 - 2073*s\/2 - 14413.\nAnswer: -(s + 14)*(s + 2059)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58091281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 137 - 3 = 2*b, -2*k + 4*b = -56. Solve k = 3*v + 4*i, 7*v - 3*v = -i + 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -119*p**4 - p**2 + 51*p - 3. Let w(y) = -237*y**4 - 2*y**2 + 102*y - 7. Let i(x) = 7*s(x) - 3*w(x). Find the third derivative of i(d) wrt d.\nAnswer: -2928*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3 - 1)*6. Let b(a) = a**2 + 3*a + 2. What is the remainder when 1\/(-4) + (-9)\/j is divided by b(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*h + 22*h**2 - 7*h + 4*h**2)*(1 - 4 - 3)*(9 + 4 - 3) in the form x*h**2 + t*h + i and give x.\nAnswer: -1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28713?\nAnswer: 3, 17, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.17 - -7.83. Suppose -5 = -5*r - z + 11, -12 = -3*r - 3*z. Let j = 41.27 + -41.07. What is the closest to j in p, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3533*n + 3534*n. Solve n*m - 39 = -25 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 42*p**2 - 147*p - 102.\nAnswer: 3*(p - 17)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 14 = 5*a + 4*y, 2*y - 6 = 0. Suppose -221 = -a*o + 319. Find the common denominator of 67\/18 and 17\/(-18) + (-24)\/o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -832.376+-0.3\nAnswer: -832.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22321 and 711126?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116*u**4 + 4*u - 4*u + 3*u - 17 wrt u.\nAnswer: -1392*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 0*a + a**3 - 4*a**2 + 9*a**2 - 3 - a. Let g be c(-5). Solve g*u = -3*u - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o - 10 + 34. Suppose 5*r - 60 = 3*z, -o*z = -4*r + 28 + 12. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*63\/(-28)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3117 (base 8) in base 14?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 10:24 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-279)*(-15)\/10*48\/(-352)*11?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 226 = 13*a. Let o(x) = -x**3 + 11*x**2 - 4*x - 8. Let j be o(8). Calculate the greatest common divisor of j and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 35. Suppose 2*b - 50 = -2*w, 0 = -l*w - b - b + 137. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*2\/8*(-7 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 4*v + 6. Let w = -47 + 52. What is h(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -793*x**3 + 258*x**3 + 264*x**3 + 266*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*c - 13*c + 7*c to the form f + z*c and give z.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1418087588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p + 26155 = 79255. What is the greatest common divisor of 432 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 355\/26 + -132\/13. Find the common denominator of i and -32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a - 17*a - 7*a + 26 = -5*z + 7*a, -3*a = 5*z + 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11447304 by 4323.\nAnswer: -2648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232120344 (base 5) to base 7.\nAnswer: -11636105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.03054*1.28\nAnswer: 0.0390912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - 4*sqrt(114)*-3) + sqrt(114) - sqrt(114) - sqrt(114) - -5*sqrt(114)*-3)\/(sqrt(30)\/(sqrt(500)*2)*2).\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, 5, 8, 3, 183 in increasing order.\nAnswer: -6, 0, 3, 5, 8, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 116 = -240. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 1. Let z(h) = -15*h - 24. Determine -18*p(r) + z(r).\nAnswer: 3*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10855859827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggn when three letters picked without replacement from zbbdbbzzbdgdnddzddgn.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-164)\/12*-3)\/(-1). Let c = g - -20. Let l = 26 + c. Solve 2*n - 2*s - 20 + 2 = 0, 0 = -l*n - s + 15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 + 62*j + 31. What is b(22)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 8:44 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(208))**2.\nAnswer: -24*sqrt(13) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)\/sqrt(11))\/sqrt(5) + -1.\nAnswer: -1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 51\/(0 + (-3 - -4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2959078*d**5 + 8*d**4 + 48252*d**2 - 5534*d wrt d?\nAnswer: -177544680*d**2 + 192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -988636*i**4 - 850184.\nAnswer: -3954544*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7113 - -13a?\nAnswer: 724d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = 7*o + 36. Let c = -35 - o. List the prime factors of (856\/(-2))\/4*c.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/((-6)\/1))\/((43 - -38)\/324). Let c = 0 - -1. Let d be (-2)\/(-4)*(2 - c). Sort -1\/6, b, d in descending order.\nAnswer: d, -1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-387)\/(-43)*(-2)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 152 + 3 + 10 + 0*x - 11.\nAnswer: 2*x - 150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 2:28 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30964527 is divided by 15482263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31177\/4650 - -596\/75. Find the common denominator of 3*27\/6 - 1 and d.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*d - 639*d + 19250 = 0 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 160*z**4 - 4391*z**3 + 30475*z**2 - 104709 - 211600*z + 165*z**4 + 348049 + 5*z**5 + 10966*z**3 = 0.\nAnswer: -23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**5 + 291*q**4 + 1080*q**3 - 3348*q**2 = 0.\nAnswer: -93, -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - (108 - 103)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/12 (b) 1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*s**5*u - 884*s**4 - 3423*s*u + 31*u wrt s.\nAnswer: -60*s**3*u - 10608*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 61, 99, 143, 193?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 48685809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + (1*(sqrt(684)*-1 + sqrt(684)))**2 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 6*t - 7. Determine f(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1313714.237 + 1314513. Let u = -798 + k. Let n = u - -32.337. What is n rounded to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.33 + 11.3059952. Let z = j - -0.024. What is z rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80115 is divided by 1179?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196)\/(sqrt(324)*2))\/(1*1*sqrt(7) + (sqrt(7) - (sqrt(7) - sqrt(224)\/sqrt(8)))))**2*-4 + -5.\nAnswer: -3652\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 8*u**2 - 7*u - 16. Let c be l(-8). Let h be (-1 - 2)\/(6\/c). What is the units digit of (0 - (-8)\/h)*-60?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l**3 - 2*l**2 + 2*l - 3. Is c(2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5363 and 0.\nAnswer: -5363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 8:11 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from siiiiiiisiiii. What is prob of sequence iis?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 396 (b) -1 (c) 0.12 (d) 6\/17 (e) 0.3 (f) 2 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 70.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6523978889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.08638*2129\nAnswer: -183.90302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*2 + 5 + -5. Suppose 0 = -5*d + d + 20. Factor -16*j**d - i + 8*j + 40*j**4 - 5*j**2 - 25*j**3 - 3*j + 3.\nAnswer: -(j - 1)**3*(4*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**6 + 241953*m**4 + 5*m**2 - 197468*m wrt m?\nAnswer: -240*m**3 + 5806872*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 take away -123.28?\nAnswer: 72.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6534*d - 118027. What is j(18)?\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13334 and 11800?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-11) - 141\/(-396). Let i(o) be the third derivative of -1\/10*o**5 - 1\/60*o**6 + a*o**4 + 15*o**2 + 2\/3*o**3 + 0*o + 0 + 1\/105*o**7. Factor i(p).\nAnswer: 2*(p - 2)*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 593.3783766346 and 1.\nAnswer: 594.3783766346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -5, 0, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8046 is divided by 427.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1596 - 1342. Calculate the least common multiple of 360 and y.\nAnswer: 45720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**5\/10 - y**4 - 11*y**3\/3 - 6*y**2 + 42*y + 13. Let h(n) be the first derivative of w(n). Let h(z) = 0. What is z?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4108 and 3341.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otooosyttys. What is prob of picking 1 o, 1 s, and 2 t?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5968 and 89520?\nAnswer: 89520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 369125111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 879360 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -3\/7, -0.01, 38537?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 123962, 247940, 371918?\n\"Answer: 123978*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1265.0449 - -1256.73. Let f = 8.26 + g. Round f to 3 decimal places.\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*g + 11. Let p be -2 + 0 - (-6 - -1). Which is the nearest to g? (a) p (b) 0.2 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13)\/(-4)*(-64)\/(-4). Suppose -k = 5*o + d, 2*k - o + 104 = -3*o. Let w = 7 - k. List the prime factors of w.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/15)\/((-2)\/(-10)). Let j be h\/2 - (-20)\/10. Let q be j\/(48\/(-26) + 2). Which is smaller: q or -12?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12768 by 1596.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10067 is divided by 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - 14 - 5*j + 12 as l*j + d and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, -0.024, 6\/11, 0.5, -3\/7 in ascending order.\nAnswer: -3\/7, -0.024, 0.5, 6\/11, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54212\/7 + 7726. Let a = s - -125\/7. Calculate the common denominator of (128\/120)\/((-4)\/42) and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (3 - 2) + (5 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 7 - 5) + -4 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 34*m - 3. Let g be r(34). Let t(h) = 3*h**2 - 2*h - 8. Let b be t(g). Solve 0 = -2*y + b - 29 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16 (b) 20\/13 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-556)\/(-3058) - (4086\/(-11))\/3 is divided by (10\/(-25))\/((-1)\/80)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**4\/4 + 41*a**3\/6 + 5*a**2 + 11. Let b be g(-6). Solve 2*t - b = 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - v + 4*v + (2 + 1 - 2)*(v - 5*v + 2*v))*(42*v**2 - 2*v**4 + 3*v**3 - 42*v**2).\nAnswer: 6*v**5 - 9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 50*x**2 - x + 103. Let c be y(50). Solve 0 = -49*z + c*z + 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1127 and 5.\nAnswer: -5635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 + 4*b. Let d(j) = 493*j**2 - 490*j**2 - 2*j - j. What is -4*d(n) - 3*g(n)?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56864?\nAnswer: 2, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.98 - -0.02. Let v = q - 7.2. Let j = v + 1. What is the biggest value in -0.4, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-208)\/(-20020))\/(32\/176).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 6*f**2 + 2*f + 2. Let l be p(6). Suppose 2*r = -3*y + 4*y - l, 0 = -4*r + y - 26. Which is smaller: r or -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517393 is divided by 172428.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 704593 is divided by 29331?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125614 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = a, 8*w - 3*a = 5*w + 9. Suppose -4*b + 31 = 7. What is the remainder when b is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4751\/168 - 8509801\/1848. Let v = -4573 - d. Calculate the common denominator of v and ((-2)\/4 - 2) + -1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + u = 8*o + 7, 2*o = 3*u - 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2 + 4*k + 3. Let z(s) = 7*s**2 - 9*s - 7. Let t(u) = -9*h(u) - 4*z(u). Give t(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241*d**2 - 255*d**2 + 15 - 15.\nAnswer: -496*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -241 + 1009. Suppose 292*a = 289*a + g. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 188897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -4137\nAnswer: -2068.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -13*o**3 - o**2 + 5*o - 9. Let i(y) = 2*y + 2 + 3*y**3 + 2*y - 5*y. Let r be -4 + -5 - -12 - 5. Determine r*a(m) - 9*i(m).\nAnswer: -m**3 + 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l - 1. Let s(z) = 2*z + 1. Let c(k) = -k**3 + 17*k**2 - 15*k + 16. Let a be c(16). Suppose -5*y + a = 47. What is y*g(v) - 7*s(v)?\nAnswer: v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0.5 (c) -86 (d) 105474\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 - 140*t - 887. Give f(-63).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (34 + 18536\/(-546))*1\/(2\/(-6))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 9:23 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 2\/(-2*(-4)\/48)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.2474479 rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -358 + 397. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 779457761 a multiple of 3707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000700399 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4696 - 4777 = -9*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.3116 meters to centimeters.\nAnswer: 9331.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3183*o**2 - 212*o - 3197*o**2 + 212*o.\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 563, -17, -3.\nAnswer: -17, -3, 1, 563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3505888 and 16?\nAnswer: 3505888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4579 + -4474. Calculate the remainder when 1784 is divided by q.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1723 + -1754. Is g greater than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 0 - 3*d**3 + 1\/12*d**4 + 11*d**2 + 0*d + 1\/12*d**5 + 1\/60*d**6. What is the second derivative of o(h) wrt h?\nAnswer: 12*h + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k = 2*m - 5, 3*m + 15 = -3*k. Let b(x) = -29*x**3 - 1 + 14*x - 4*x**2 + 28*x**3 + 12. Let a be b(-6). Which is greater: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 441*r**2 - 76*r - 654. What is the thousands digit of c(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 6, 0*h + 3*h = -5*x + 29. Suppose -21 = -v - 2*r, -v - x*r + 16 + 11 = 0. Let j = 55 - v. Calculate the greatest common divisor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 15 + 120 + 4*g + 10 - 144 - 3*g. Let d = -11 - -19. Suppose -2*z = -z - d. Determine l(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6778204 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 25 + 33 = 34 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*u - 150 - 346 = 0 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(8*28\/320). Solve 2*o - 4*g + 24 = 0, 0 = -6*o + 2*o + g - x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 - x**2 + 2*x**2 + (-x + 0*x + 3*x)*(1 - 1 - x) - 3 + 3 - 2*x**2)*(5*x**2 + x - 2*x**2 - 4*x**2).\nAnswer: 6*x**4 - 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 7 - 19 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1923 is divided by 80?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 32*w + 1749. Calculate l(61).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. Let l be (7\/2)\/(k\/4). Suppose 0 = -5*q - 0*q + t - 11, -q - t = l. Sort 4, 2, q in decreasing order.\nAnswer: 4, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 4*a. Let t be i(-4). Calculate the smallest common multiple of (21\/14)\/(6\/t) and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9819.778 to the nearest 100.\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g + 27. Let u be t(14). What is the second smallest value in -0.12, u, 0.08?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j**3 + j**2 + 3*j + 3. Let x be m(-1). Suppose 3*h - x = -0. Solve f = -0*b - 2*b - 5, 0 = -h*f + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 2*f**2 - 2*f + 15. Calculate the smallest common multiple of 20 and z(3).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -15584*t. Let k(u) = -3*u**2. Give k(r(i)).\nAnswer: -728583168*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 209519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 751 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 546 - 546.5. Which is the nearest to -0.1? (a) x (b) 5 (c) -1\/6 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 7) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/8*-2*(-96)\/120?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*28\/72 - (-3)\/(-18). Let z = 109.1 - 109. Let f = -43\/12 - -10\/3. Sort f, -1, d, z.\nAnswer: -1, f, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -13*b - 22. What is y(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 771 divide 14908056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -473 + 488. Let r be (-14)\/(-3) - 2\/3. Suppose 2*f + j = m + 4*f, -69 = -r*m + f. What is the remainder when m is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 16*n**2 + 2*n + 2. Let o be f(-16). Let x be ((-1)\/2)\/(5\/o). Let u = x + 1. Solve 5*q + u = -6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (3 + -6) - (-1 - -3). Let y(x) = -z + 2 + 18*x - 8*x. Let n(h) = 4*h. Calculate n(y(u)).\nAnswer: 40*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 + 2714 = -264*f + 15531 for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 6:29 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 + 2 - 2 - 7*g - 7. Let j(h) = -h**2 + 3*h + 3. Let i = -9 + 16. Give i*j(v) + 3*t(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0 (c) 3951 (d) 7 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3819 minus 47?\nAnswer: -47.3819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15671, -15675, -15681, -15689?\n\"Answer: -c**2 - c - 15669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -6. Suppose 2*p = -y + 6. Suppose -p*a + 8*a = 85. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*o = 2*z + 33, 0 = 2*z + o - 3. Let i = -1 + 5. What is the highest common factor of i and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3 + -1 + 1 + sqrt(405)*-1 + 1*(1 + sqrt(405) - sqrt(405)))**2.\nAnswer: -18*sqrt(5) + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwcd when four letters picked without replacement from mmmqddwmcqmq.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40\/3 + 14. Let p be (-22 + 1386\/54)\/11. Find z, given that f + z - z**3 - p*z**2 - 1\/3*z**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -217*n**5 - 2*n + 77 wrt n.\nAnswer: -4340*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -2\/3 (c) 3 (d) -7\/87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3795672 by -3.\nAnswer: 1265224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 12 = -4*f, 0 = 5*l + 3*f - 2*f + 3. Which is smaller: l or 12\/85?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -69, -97, -151, -243, -385, -589, -867?\n\"Answer: -2*y**3 - y**2 - 11*y - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*l + 84 = 39*l + 2340. What is the highest common divisor of 534 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19778.17ng in tonnes?\nAnswer: 0.00000000001977817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12065, 11362, 10187, 8540?\n\"Answer: -236*o**2 + 5*o + 12296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9}. What is prob of sequence ll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6979*f + 796*f + 478*f + 1283*f**2 wrt f.\nAnswer: 2566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 470211761 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 846 (base 9) to base 6.\nAnswer: 3110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*c - 10. Suppose 32 = c*q - 5*q. Let s = q - 6. Calculate the greatest common divisor of 8 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 18 = -4*k, 0*k + 4*u = -k - 13. Solve 5*w - k = -17 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*r - 7 = 0. Suppose -33 = -r*u + 4*u. Calculate the least common multiple of u and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 5*o + 8. Let l be p(6). Sort 4, 0, l, -5 in ascending order.\nAnswer: -5, 0, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/13 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/5 + 1032*d\/5 + 4368.\nAnswer: -3*(d - 364)*(d + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 3 in ascending order.\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bloullvobdol. What is prob of picking 1 l, 1 b, and 1 u?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -4*a + 26, 2*a = 2*j + 22 - 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*u + 14 = d, -5*d + u = -35. Suppose 13*c - 17*c = -52. What is the remainder when c is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87)\/27 + 54\/(-342)*-19.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -98 + (-117)\/13 - ((-58)\/10 - 910\/(-325)).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bkyikibddbibbbbkibd. What is prob of sequence dbii?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 6:01 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 4*h**2 + 7*h + 7. Let u = 1384 - 1380. Let o(k) = k**3 + 2*k**2 + 4*k + 4. What is u*w(y) - 7*o(y)?\nAnswer: -3*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-37 - -118 - 20) - (0 + 21).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*n*y**2 - 30*n - 221*y**2 wrt n?\nAnswer: -8*y**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2735\/40 - (((-3913)\/104 - -18) + 20)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/18*((-24)\/(-14))\/3.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*(sqrt(56) - sqrt(224)))\/(sqrt(32)*5).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 divided by 475?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, j: 1, p: 2, o: 1, x: 4, a: 7}. What is prob of sequence sxao?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 7*s**2 + 7*s - 71. Let f be h(5). Suppose f*i = 8*i - 6. Let d(j) = -j**2 - 2*j - 2. Let q(b) = -2*b + b + 2*b + 1. Determine i*d(c) - q(c).\nAnswer: c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = k + k. Suppose k*n - 13*n = -2570. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -58.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n**2 - 12*n**2 + 322777 - 161417 - 161360.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12604219 to the nearest integer?\nAnswer: 3550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -7\/46*o**4 - 6\/23*o**2 - 26\/69*o**3 + 127 + 2\/115*o**5 + 1\/69*o**6 + 0*o. Find u, given that n(u) = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*w**3 + w**2 - 2*w - 85 + 18*w**3 + 88 - 49*w**3 to o*w + g*w**2 + p*w**3 + l and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 + 2*v**2 - 11*v**2 + 11*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2711, -34311, -120081, -287105, -562467, -973251, -1546541?\nAnswer: -2309421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + ((2 + sqrt(3))*-6 - ((sqrt(3) - sqrt(3)*1) + -5)))**2.\nAnswer: 108*sqrt(3) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645839 is divided by 2604?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*t - 94 + 94 + 2*t + 1 - 1 + (2 + 0 + 0)*(-t + t + t).\nAnswer: -37*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a microsecond in nanoseconds?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(-2*t**2 - 3*t + 3*t)*(221*t + 343*t - 101*t - 3*t + t - t - 4*t - t + 4*t + t - 5*t + 2*t + (5*t - 6*t + 2*t)*(-2 + 3 + 0)).\nAnswer: -916*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3176, 3102, 2904, 2522, 1896?\n\"Answer: -10*z**3 - 2*z**2 + 2*z + 3186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 2:17 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -245532 divided by -12\nAnswer: 20461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89\/226 + 12\/113. Factor -3\/2*r**4 + 1\/2 - r**3 + r**2 - u*r**5 + 3\/2*r.\nAnswer: -(r - 1)*(r + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.3 (b) -0.5 (c) 16 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 112 = 204*d - 200*d, 116 = 2*l + 4*l + 4*d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4023 (base 8) to base 16\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z. Let a(c) be the second derivative of c**4\/6 - 3*c. Give f(a(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 1. Let f(w) = -2*w - 2. Give -f(n) + 3*z(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*m - 2 = 0, 2*m = -3*b - 4 - 6. Let y(p) = -3*p**2 - 4*p - 4. Let v be y(-4). Let s be (-3)\/b - v\/(-24). Solve -3 = -r - s*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80.648 - 81. Let l = -0.548 + u. Put 2\/5, -0.5, l in descending order.\nAnswer: 2\/5, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4\/4 + 21*x**3\/4 + 9*x**2\/2 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*t**2*z - 953468*t**2 + 4685*t*z wrt z?\nAnswer: -15*t**2 + 4685*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5143.\nAnswer: 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**5 + 145*u**4 + 2060*u**3 + 5780*u**2 - 6480*u - 28800 = 0.\nAnswer: -6, -4, -3, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 159, 823, 1939, 3525, 5599, 8179?\n\"Answer: 3*d**3 + 208*d**2 + 19*d - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w**(-3\/2)*w*w*w*w*w)\/w))\/w*w)**(-2\/45)*w**3*w*w**(2\/9)*w assuming w is positive.\nAnswer: w**(238\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.307155727 rounded to 2 decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + (5 - -9))*2\/4. Suppose 5*a + 0*h - 525 = 5*h, -2*a - b*h + 203 = 0. Calculate the greatest common factor of a and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124812618 is divided by 5743?\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/3, 0, 1938?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 7*i**2 + 63 - 56.\nAnswer: 3*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 17*p**2 + p - 14. Give l(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46222 and 382?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4575, -4577, -4581, -4587, -4595?\nAnswer: -4605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = -v. Let h(x) = 1 + 16*x**2 + 25*x**2 + 1 - 1. List the prime factors of h(v).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 - 1.97. Let u = h - -2.5. Which is the nearest to 1\/2? (a) 2 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109087687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -283*g + 280*g - z, -3*g + 756*z - 51 = 753*z for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven halves of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -208 - -203. Let c = -168 + 191. What is the second biggest value in c, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39220, 155836, 349850, 621262, 970072, 1396280, 1899886?\nAnswer: 2480890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a + 2. Suppose -24*y + 29*y - 15 = 0. Let j be (-1)\/(1 + 25\/10 - y). Determine w(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -553259 + 553249.99932. Let a = c + 9. Round a to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100111000111111 (base 2) in base 3?\nAnswer: 2200102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -36. Suppose -a - 2*q = -2*a + 5, -a = -4*q + g. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*n - 11, -3*i - 3*n - 5 + 14 = 0. Let q be i\/(-26) + ((-530)\/(-65) - 7). Which is greater: -0.29 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 46.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -397 + 396. Put -2, -0.4, -9, i in decreasing order.\nAnswer: -0.4, i, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(5*l - 3*l - 3*l) - 9*l + 5 - 5 + (-52 + 61 - 812)*(-1 - 2*l + 1)*(1 - 2 + 2).\nAnswer: 1595*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12376307 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 10) to base 3\nAnswer: -10201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**4*i**2 + 339*f**4 + 14*f**2*i - 5*f**2 - 3*f*i**2 wrt f?\nAnswer: 48*f*i**2 + 8136*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 122*q + 1932. Calculate i(-16).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a week in hours?\nAnswer: 2408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14081 + 13949. Let h = 566 + -366. Let u = c + h. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*w**2 + 8*w**2 + 0*w**2 + (0 + 0 - 2*w)*(w - 4*w + 2*w) + 1 - 1 + 2*w**2 + (4 - 4 - w)*(6*w - 2*w - 2*w).\nAnswer: 52*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 135965155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-1115)\/(-55) + ((-6)\/22 - 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1489 and -4.\nAnswer: -4.1489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*u = -2*u + 8, -2*w - 4 = -3*u. Let d(c) = 5*c - 6. Let i be d(5). Solve -w*o + 3*t = -i, t + 1 = -4*o - 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*v - 11 - 19, -v + k + 6 = 0. Let t(j) = 5*j + 4. Let s(d) = 3 - 15*d + 7*d + 2*d + 10*d. Give v*t(r) - 7*s(r).\nAnswer: 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199084 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-2\/5))\/(v\/(v**0\/v*v*v))*v**(2\/7)*v**(-8))**(-1\/25))**(2\/23) assuming v is positive.\nAnswer: v**(498\/20125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4544 and 37568?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {s: 1, a: 1, z: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -767183 - -568.2.\nAnswer: -766614.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45\/4 of a milligram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.035? (a) 2\/13 (b) -0.4 (c) 5\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35154 by 162.\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.109 - 0.109000938. What is r rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/120 and -49\/10788?\nAnswer: 107880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10992.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 7:33 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*f + 30*f + 933 = -9886 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = o - 3*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 4075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 5. Suppose 0 = -y*t + 470 + 205. Suppose 0 = 24*f - 21*f - t. Calculate the greatest common factor of 27 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33232002 (base 4) to base 5\nAnswer: 4030021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 875.\nAnswer: -5250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -12*n**2 + 4*n + 3. Let w be h(-2). Let u = -38 - w. What is the remainder when 1 - -2 - (-320)\/8 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 624600 and 14880.\nAnswer: 77450400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k - k + 2*k. Let r(w) = -11*w**2 + 8*w. Let j(v) = -7*v**2 + 5*v. Let c(l) = 8*j(l) - 5*r(l). Calculate c(d(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/6 + 2*f**3\/3 + 2*f**2 - 16*f\/3 - 32\/3.\nAnswer: -(f - 4)**2*(f + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/2)\/(3\/(-6)). Let l(z) = -4*z**2 - 4 + 3*z**3 - 4*z + 10*z**3 - 14*z**3. Let n(k) = 2*k**3 + 7*k**2 + 7*k + 7. Calculate h*l(x) + 4*n(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, 0.558 in descending order.\nAnswer: 3, 0.558, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -10271.\nAnswer: 10268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 8*y = 0. Let c be (y - -1)\/(5\/10). Suppose -4*i + c*i + 10 = 0. Solve -3*h - 2*h = -i*s + 20, -2*s = 2*h - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-112))\/(((-104)\/1248)\/((-1)\/18))?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 768751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 11:37 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20252 or -20576?\nAnswer: -20576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29043868 by -7260967.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -948 + 952. Let v(f) = f**3 - 4*f**2 + 3*f - 6. Determine v(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 391*f - 2. What is the units digit of x(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 25*d**2 + 45*d - 40. Let s be v(-22). Let i = -422 + s. Solve -5*f - f + 18 = i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 59. Is f(-17) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5120000 rounded to the nearest 100000?\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -1\/6*w**3 + 9\/20*w**5 + 97*w + 0 - 1\/12*w**4 + 0*w**2. Let m(j) = 17*j**3 - 2*j**2 - j. Determine 3*m(p) - 5*s(p).\nAnswer: 6*p**3 - p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 16 = -4*q. Let j be 1182\/10 - 4\/20. Suppose k + 5*v = j, -k + 4*v = q*v - 132. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from wwrwrwrwrrrrrrrr.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 334.8908ms?\nAnswer: 334890.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 7, 49, 9, 5 in descending order.\nAnswer: 49, 9, 7, 5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*p**2 + 195*p**2 + 79*p**2 - 102*p**2 in the form d + i*p**2 + a*p and give i.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7*(-24)\/56*(-1 + -1). Solve -2*i - u = -4*t, -2*t - 4*i - 18 = -4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 16 - 18 - -19?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4 = -2*x - 0*x, 0 = -4*x + 3*y - 14. Let d(s) = s**3 + 7*s**2 + 2*s - 4. Let a be d(x). Let o = a - 20. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -262.5 + 33.5. Let d = 401 + h. Is d <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 23?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)\/f*f**(-1))\/(f**(-1\/7)*f\/((f**(-2\/11)\/f)\/f)) assuming f is positive.\nAnswer: f**(-696\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*p - 2*q + 302, 2*p = -5*q + 293. Let g = 161 - p. Suppose -3*o + 2*o = -21. Calculate the greatest common factor of o and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 2*g + g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 55074 and 55040 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**5\/60 - c**4\/3 + c**3\/6 - 10*c**2. Calculate v(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v**2. Suppose 0 = -2*n + 6, 10 + 2 = 3*b + 2*n. Let m(d) = b*d + 2*d - 4*d + d. Calculate w(m(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -774 - -781. Calculate the highest common divisor of 35 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15363 and 201.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8700 + -8716 - (0 + -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 8368976?\nAnswer: 8368978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 1 = -r, -9 = -27*r + 24*r + 3*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -1) + -32 + 11 + 30?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/11, -37, 9, -2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**3\/(((q*q**(2\/5))\/q)\/q)*q**(1\/5)\/(q\/q**(-2\/7))*(q**3*(q**5\/q)\/q)\/(q**1*q)**30 assuming q is positive.\nAnswer: q**(-1802\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 8*u + 4*u - 245 = 0, -u = 0. Let x be y\/14 + 6\/(-4). Suppose -2*d + 204 = -x*s, -2*d = -3*d - 2*s + 114. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r - 2*r**2 + (-2*r - r + 4*r)*(-2*r + 0*r + 0*r))*(-2*r - 83*r**2 + 10*r**2 - r**3 + 320*r**2).\nAnswer: 4*r**5 - 988*r**4 + 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48 + 2*j - 48 + (j + 3 - 3)*(-2 + 6 - 2) + 3*j + j - 7*j to w*j + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1572 + 1783. Is 49 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q = 28*q + 4*d, -2*d = q. Suppose 13*i - 82 + 4 = q. Solve -9*t - i + 33 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20.6 + 1.6. Let k = 8174 + -8154.9905. Let l = a + k. What is l rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19398*j - 19930*j - 34048 for j.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -110010 (base 3) to base 5\nAnswer: -2302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-19)\/(-4) + (-18)\/24. Let p(u) = 2*u**3 - 5*u**2 - 3*u. Let i be p(f). Suppose -i = -4*s - 4*d, -4*s + d = -0*d - 16. Solve 3*c = s*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((1 + sqrt(245) + -5)*3 - (sqrt(35)\/((sqrt(84)\/sqrt(2))\/sqrt(6)) + -1))**2.\nAnswer: -440*sqrt(5) + 2125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 423 + -421. Let x = -36 + 42. Suppose -4*y - 4*v = -v - 12, 3*y = 5*v + 38. Solve h + 2*u + y = 0, 2*h + s*u = x*h - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 14*h - 5*h - 7*h. Let i(o) = -2*o. Give l(i(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-24)*(-12 + 14)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) - (sqrt(1088) + (sqrt(1088) - (2*(-1 + sqrt(1088) - sqrt(1088)) + sqrt(1088))) + sqrt(1088) + sqrt(1088))**2.\nAnswer: -9796 - 88*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*x**5 + x**4 - 38521*x**3 + 14689060*x**2 wrt x?\nAnswer: 120*x**2 + 24*x - 231126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 14) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 29*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a minute in seconds?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 2:32 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2. Let n(c) = 25*c - 297 + 598 - 302 - 6*c + 7*c. What is n(i(y))?\nAnswer: 78*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + -4 + 4 + 293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**6\/10 + 134*n**5\/15 + 277*n**4\/6 + 280*n**3\/3 - 8*n**2 + 144*n. Factor c(x).\nAnswer: -4*(x + 1)**2*(3*x - 140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -55*u + 30. Let o be k(-4). Let h be (-6)\/33 - (-84)\/33*4. What is the greatest common divisor of o and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2596)\/18 - (-1 + 21\/27). Let q = g - -148. Suppose -p = q*z - 327, 3*z + 129 + 198 = p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.78361 to two decimal places.\nAnswer: -22.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4423, 4399, 4375, 4351, 4327, 4303?\nAnswer: 4279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1053) - (5*(1 + sqrt(1053)) - sqrt(1053)))**2 + (sqrt(1053) - -2*sqrt(1053)*2) + 3 + sqrt(1053) + 0)*2.\nAnswer: 648*sqrt(13) + 19010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3564988, 3564979, 3564956, 3564913, 3564844, 3564743, 3564604, 3564421?\n\"Answer: -s**3 - s**2 + s + 3564989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111211121200102 - -100?\nAnswer: 1111211121200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94292 is divided by 46490.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2270*f + 16402.\nAnswer: -2270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**4\/5 + 456*b**3\/5 - 4179*b**2\/5 - 2322*b + 15336\/5 = 0.\nAnswer: -3, 1, 12, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 202.76 to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*z + t = -118*z - 2, z + 4*t - 17 = 0. Let v(b) = b**3 - b**2 - 13*b + 3. Calculate v(z).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 5*t**2 - 3*t - 4. Let w be s(3). Let c(z) = -2*z + 4. Calculate c(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.113 - -0.593. Let p = -6.521193 - n. What is p rounded to 5 decimal places?\nAnswer: -0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.131 + 0.031. What is the second smallest value in l, -0.2, 18\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413902369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 7*q + 3. Let f be h(-7). Suppose -4*y + 11 - f = 0. What is the units digit of (y + -1 - 93)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 = -0*u. Suppose 4*l + 0*l + 23 = q, 0 = -u*q - 2*l + 26. What is the remainder when q is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**5\/5 - d**4\/6 + d**3\/6 + 2*d. Let q be o(1). Suppose -z - q*z + 16 = 0. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y - 8. Let c be d(6). Suppose -r - c*r = 145. Let z be 6\/(-27) + r\/(-9). What is the closest to 0 in 0.3, -2\/7, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 27. Let o = 18 - t. Let r be (-41)\/(-13) + (-2)\/13. What is the highest common factor of r and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, y: 2}. Give prob of sequence ydd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462*i = -478*i + 452880. What are the prime factors of i?\nAnswer: 3, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-4\/3))\/(i\/(i**(-4\/9)\/i))*i**(-4)*i\/((i*i\/(i**(-4\/3)*i)*i)\/i))\/((i**(-2\/5)*i*i**7*i)\/(i*i\/((i**(-2)\/i)\/i)*i*i**4)) assuming i is positive.\nAnswer: i**(-137\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -503052*u**2\/7 + 60366272*u\/7 - 3840\/7.\nAnswer: -4*(u - 120)*(125763*u - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(8*k - 66*k + 36*k).\nAnswer: 44*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 - t - 13. List the prime factors of b(-12).\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 - 1. Let t be z(1). Let m = t + 1. Let q(i) = i**3 + 2*i**2 - i - 1. Calculate q(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5)*(-7 + 333\/54).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = 4*l - 22 - 144, -14*l + 9*l = 3*q - 221 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**5 + 28*r**5 + 24*r**5 + (-3*r + 2*r - r)*(3*r**4 - r**4 + 0*r**4) - 4*r**5 - 6*r**5 - 7*r**5.\nAnswer: 36*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 46.21901ml?\nAnswer: 0.04621901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04 >= -248\/321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 773105.1 grams in kilograms?\nAnswer: 773.1051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/3? (a) 3 (b) 0 (c) -5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 35*m**2 - 441*m + 24. Determine z(11).\nAnswer: 739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 4.9. Let j = 6.3 + -6. Let x = 2019 - 2022. What is the nearest to x in l, j, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1204\/(-18095) + (-13092)\/(-120010)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.81904 millilitres in litres?\nAnswer: 0.03881904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1640?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 1. Let x(i) = 10*i - 1. Let u(g) = -2*g + 11. Let o be u(17). Let n = o - -25. Let h(f) = n*y(f) - x(f). Determine h(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8694 - 8692. Let j(g) be the second derivative of 0*g**v - 16*g + 13\/6*g**3 + 0 + 3\/4*g**4. Find the second derivative of j(f) wrt f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-15)\/(-6))*(-52)\/39?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {d: 2, w: 16}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58161?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -28. Suppose 0 = 3*d + b + b, -4*d = -u*b. Suppose 5*v - 5*o + 3*o + 15 = d, -23 = 3*v - 4*o. Which is smaller: -1\/10 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53280 and 219.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2 - 6 - 5 - 6*f + 0. Suppose 2*p - 26 = 4*x + 4*p, -3*x + 3*p = -3. What is the tens digit of j(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 0.041, -0.3?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 518987 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000688931 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*k**2 + 2*k**2 - 5*k**5 + 0*k**5 - k**5 wrt k?\nAnswer: -360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224) - sqrt(224)*-1)\/(sqrt(32)*-3) + 1.\nAnswer: -2*sqrt(7)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13\/35 + 1\/5. Let i be 0 - 0 - -2 - -1. What is the second smallest value in 4, i, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z**3 + 3*z**2 - 2*z + 1. Let r(l) = -l**3 - l**2 + l. Give k(b) + 3*r(b).\nAnswer: 4*b**3 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 5:33 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**3*u - q**2*u - 1197*q*u - 2*q + 41*u + 40 wrt q.\nAnswer: -6*q**2*u - 2*q*u - 1197*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3659 - -5712. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2. Let t(l) be the first derivative of -l**6\/60 - 2*l**3\/3 - 7. Let o(k) be the third derivative of t(k). Determine o(i(z)).\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26450 and 1153550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 2\/13, 0.9, -51344?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -2350666336?\nAnswer: 2350666331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) -0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 8, 5*m + 28 - 1 = -w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 83*m**2 + 794*m + 138. Let j be c(-72). Let q(r) = -r**3 + 21*r**2 + 165*r + 16. Determine q(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, x: 3, f: 1, k: 9}. Give prob of picking 2 k.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 5.18. Let d = o + -0.08. Let i = -344 - -346. What is the third biggest value in 10, 1, i, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52 + 224?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 6*m**2 + 3*m - 24. What is y(5)?\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 11:24 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -818145, -29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/3)\/(15\/(-65))*49\/147?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a307 - -41?\nAnswer: -3a276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004865 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*g + 8*g + 84 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from yqqmqymqqmmmqmqm.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g + 65. Let f be q(-10). Suppose -1015 = -24*l - f*l. Calculate the remainder when 55 is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8 + 2*r + 3*r + 4*r - 5*r with respect to r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 0 - 1\/60*c**6 + 0*c**3 - c**2 + 0*c - 1\/105*c**7 + 1\/30*c**5 + 1\/12*c**4. Factor q(y).\nAnswer: -2*y*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -247*u - 43*u**2 - 13*u**2 - 321*u**5 - 4 + 56*u**2 - 654*u**5 wrt u?\nAnswer: -19500*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-367)\/6)\/(3\/(-45)). Let k = b - 887. Calculate the common denominator of 4 + -6 - (-150)\/33 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16.95, -0.31, -2\/17, 0?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 590018623.7 less than -0.5?\nAnswer: -590018624.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 514093714 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2 + 2*t. Let v(h) = 4*h**2 - 3*h - 1. Give -5*b(c) - 4*v(c).\nAnswer: -c**2 + 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/5 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 46080000 rounded to the nearest 1000000?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 0 + 3)*(-3 + a + 3) - 2*a + a - 2*a)*(-a - a - 4*a) as h + c*a + k*a**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 115 = 2*g, 5*y = 6*g - 7*g + 566. Suppose -109*l = -y*l + 5240. List the prime factors of l.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973877685 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(2*-1) - (-7 + 11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1355*d**2 + 6*d - 5. Let l = -65 + 70. Let m be n(l). Round m to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 5 = -2*s - 3*h, 2*h = 4*s - 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7618504*l**6 + 9978739*l**2 - 2?\nAnswer: -914220480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 15, -5*m - 80 = 2*h - h. Let t(g) = -4*g - 66. Calculate t(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*v - 3075 + 3558 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 5*z - 17, -2*z + 5 = -r - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 285853 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 118700 equal to 118701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from {p: 3, f: 1, i: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*b - 5, -4*h + 3 = -3*h - 2*b. Suppose 3*v - h + 40 = 0. Let q(m) = 899*m**2 - 2*m + 43. Let z be q(v). Round z to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 3:42 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - 0.3. Suppose 7*a - 11 = 5*w + 3*a, a = 4*w. What is the second biggest value in -0.3, w, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*j - 15, -j = -2*j + 1. Suppose 4*k + 5*s = 4 + 3, -2*s + 14 = 3*k. Solve -4*z - k = f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -242*y**3 - 2*y**2 + y + 2. Let t be j(2). Let g = 33 - t. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 238 by -119.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2329658 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 are the prime factors of 22953495?\nAnswer: 3, 5, 1530233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -13. Let y = 101 - 64. Let v = y - s. What is the remainder when v is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**2 + 3*q + 4. Calculate the smallest common multiple of 26 and o(-2).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3\/7 (b) -22\/705 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.62 + -59.95.\nAnswer: -59.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -366, -383, -420, -483, -578, -711, -888?\n\"Answer: -w**3 - 4*w**2 + 2*w - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 21*s**2 - 864*s - 2. Let y(g) = 2*g. What is r(y(w))?\nAnswer: 84*w**2 - 1728*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/16 and (-81)\/28 - 13\/(-52).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 9*l - 196. Let b be ((-1015)\/l)\/(1\/4). Are 1 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - i = -4*g + 20, 0 = 2*g - i - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239856661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -85351 (b) -5 (c) -3 (d) 4.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 1284687?\nAnswer: -1284687.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -53*z - 8. Let h be o(-6). Let r be (-434*(-34)\/2142)\/((-4)\/(-18)). Calculate the greatest common factor of h and r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1184016454 = -50*j - 339*j + 7175900154. Round j to the nearest 100000.\nAnswer: 15400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 366 + -365. What is the fourth biggest value in i, 0.4, -8, -1\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100082467 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -10. Let o be (-2)\/(-7) - (-6799)\/91. Let m = -59 + o. Calculate the lowest common multiple of m and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*x**3 + 1 - 2*x**2 + 0 + 75*x**3)*(x + 2*x**2 - x).\nAnswer: 2*x**5 - 4*x**4 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3577, 3639, 3701, 3763, 3825, 3887?\n\"Answer: 62*x + 3515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 3*v**2 - v**2)*(0 - 5 - 5)*(54 + 45*v - 46*v + 48).\nAnswer: -10*v**3 + 1020*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 3:40 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 4:19 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 152. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 61*x**2 + 294*x + 1136. Calculate n(-66).\nAnswer: 3512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -96 - 25 - 46 + 70*q**4 + 62*q**4 wrt q.\nAnswer: 528*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01571 - -0.28429. Which is the closest to 0.82? (a) -3 (b) -1\/6 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**3\/9 + 11500*t**2\/3 + 1612664*t\/9 = 0. Calculate t.\nAnswer: -8578, -47, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, 2, 8, -0.3, 5 in increasing order.\nAnswer: -0.3, 0.18, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -102066207 or -102066206?\nAnswer: -102066206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35148*n**3 + 4*n**2 - 816*n - 2.\nAnswer: 210888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -575\/448 + -1\/448. Is v bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (sqrt(1331)*2 - sqrt(1331))*-3)**2.\nAnswer: 21296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 191)\/(-23 - 945\/(-43 + -2)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 2*k - 0*k. Suppose -20 = -4*u + k. Solve -2*p - u = 4*m - 6*p, 4*m = -3*p + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.2. Let p = -0.3 + 0.3. Let q = -10488.5 + 10491.5. Which is the second smallest value? (a) -1\/6 (b) q (c) l (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 17*c**2 - 32*c + 37. Determine z(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9670526*c + 9670451*c + 225 = 0. Factor 0 - 2*r**c + 0*r + 1\/2*r**2.\nAnswer: -r**2*(4*r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 987, 1\/75, 0 in decreasing order.\nAnswer: 987, 0.2, 1\/75, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1081 - 115.3081. Let k = 114 + v. Sort -1, 4, k in descending order.\nAnswer: 4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 8*q**2 + 10*q + 8. Let b(w) = -w**3 - 7*w**2 + 9*w + 7. Let h = -43 + 38. Let l(f) = h*m(f) + 6*b(f). Does 6 divide l(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 = -3*b, 8 - 20 = 3*b. Find the second derivative of -k*l**3 - 5*l**2 + 5*l**2 + 2*l wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 8*o + 8. Let b be (-1)\/7 + o\/7. Let m be b + ((-20)\/6)\/(9\/(-54)). Calculate the greatest common divisor of 20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4545 + -2464. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 13*s. Let p(u) be the first derivative of -149*u**2\/2 + 2834. Determine b(p(z)).\nAnswer: -1937*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 483960*u + 1989219*u + 987708*u + 6855*u.\nAnswer: 3467742*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456 a factor of 35817600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u. Let w(r) = 13 - 5*r - 13. What is k(w(l))?\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -590303.923 to the nearest ten thousand.\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 14*c**2 - 4*c + 27. Let q(u) = 2*u**3 + 26*u**2 + 8*u - 55. Let x(o) = -3*q(o) - 5*r(o). Let y be x(-7). Is -3 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11959.4 + 11790.766. Let n = l - 0.366. Let k = -168.19 - n. What is k rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 660 (base 10) to base 11.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*k - 1. Let g = -5 + 27. What is the lowest common multiple of g and (-112)\/(-5) - k\/(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 24*m = -60. What is the remainder when 29 is divided by m*-1 - 3\/(18\/(-48))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31302 - 11?\nAnswer: -31313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 11*w**3 - 9*w**2 - 2*w + 14. Let n(j) = 2*j**3 - 3*j**2. Let x(b) = -g(b) + 6*n(b). Determine x(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**4*w**2 + 10*o**2*w**2 + 2*o**2*w + 3*o*w**2 + o - 2*w**2 wrt o.\nAnswer: -24*o**2*w**2 + 20*w**2 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010111011010111100 (base 2) in base 10?\nAnswer: 1406652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 - (29 + 57 - 13)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 16902.\nAnswer: -4, 5, 16902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1147 + -4539\/4. Let d(j) = j**3 - j + 2. Let w be d(0). What is the common denominator of f and 39\/w*(-35)\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*l, 3 = -15776*o + 15781*o + 3*l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 195*z**2 - 153*z**2 + 4*z - 2*z.\nAnswer: 42*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 31*l + 1. Give g(15).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2487.\nAnswer: 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2038 + 2134. What is the lowest common multiple of 4 and k?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 - -11b6?\nAnswer: 11d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14052542 (base 6) to base 13\nAnswer: 1377aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * -1.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*c + 1264*c**3 - 49*c**2 + 49*c**2 - 1262*c**3.\nAnswer: 2*c**3 - 21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 14722?\nAnswer: -14726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 15*x + 10*x - 6*x as f + s*x and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gtgtgctgtttctccgccct. Give prob of picking 2 g and 1 t.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 4\/3 (b) 0.4 (c) -0.1 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o + 8*o - 5*o + 8*o. Let j be s(2). What is the highest common divisor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2430113100 (base 5) to base 8\nAnswer: 25613013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 302 + -303. Let h be -3 - (12\/(-6) + i). Solve 2 = 2*o + 2*d, -4*o + 2*d + h*d + 22 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22\/3*b**2 + 0 + b**4 - 8\/3*b + 7\/3*b**3.\nAnswer: b*(b - 2)*(b + 4)*(3*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 4*x + 118. Calculate y(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -761*i**2. Let q(b) = 2954*b**2. Give q(w(j)).\nAnswer: 1710723434*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1283 - 1278. Solve -3*q + z*w = -5*q - 10, 0 = -2*q + 3*w + 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 7*a + 11. Let s be n(8). Suppose -6*l + s*l = 15. Let z be 1\/(-2)*0 + l. Let g(i) = -i**2 - 3*i + 5. Give g(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1434*g**2 + 34*g - 34*g.\nAnswer: -1434*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhqtk. What is prob of picking 1 q, 1 h, 1 v, and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pccccccfcf. What is prob of picking 1 p and 1 f?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14105722?\nAnswer: 2, 41, 172021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15 + (-87472)\/(-32))\/((-2)\/4). Let r = 2244 - x. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 272*q**2 + 28*q - 13. Let z(g) = 272*g**2 + 27*g - 15. Let w(a) = 7*l(a) - 6*z(a). Find the second derivative of w(o) wrt o.\nAnswer: 544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35408 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 i(f) be the second derivative of -2401*f**5\/20 - 2989*f**4\/12 - 104*f**3 - 18*f**2 + 6*f - 13. Let i(m) = 0. What is m?\nAnswer: -1, -6\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 5:04 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyygy. What is prob of picking 2 y?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (6 - (6 + -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42474, 42450, 42388, 42270, 42078, 41794, 41400?\nAnswer: 40878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -19. Let h be (2\/(-4))\/(2\/4). Let p be h\/(-3)*(5 + 1). Which is the nearest to 0.1? (a) l (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17.8 + -4.8. Let u = f - 8. Which is the fourth smallest value? (a) u (b) 1 (c) 3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85 + 4*i - 85)*((1 - 4 + 1)*(2 + 0 - 1) - 1 + 1 + 2 + 5 + 1 - 4)*(-38*i + 0*i + 17*i).\nAnswer: -168*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -629, -2305, -5089, -8975, -13957, -20029, -27185?\nAnswer: -35419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-14) + (-46)\/(-14). Suppose z*o - k + 79984 = 28984, -2*o + k - 34000 = 0. Round o to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18838777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54869713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 5*h**2 + 4*h. Let s be q(4). Suppose 55 = -s*l + 5*l. Calculate the highest common factor of l and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*u - 4*u. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*i = 10, 5*i + 10 = -0. Let j(n) = -28*n**3 + 2*n**2 - 7*n + 5. Let t be j(m). What is the tens digit of (1 - 4\/5) + t\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 4*d - 516 = 6*h, -5*h + 681 = -4*d. List the prime factors of h.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7095352?\nAnswer: 2, 11, 80629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*h - 18 + 18 + 56*h to q + r*h and give r.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2404 + 4202?\nAnswer: 12111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-25)\/(-7) - 12\/(-28). Suppose 2*p = -2*k - 6, a*p - 3*p - k = -12. Sort 2\/13, p, 2 in increasing order.\nAnswer: p, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3486*b**3 + 1450*b**3 + 2038*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 7*r**2 + 10*r - 14. Let a be d(8). Suppose -10 + 2 = -a*p. What are the prime factors of p\/(-7) - (-4147)\/91?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**5\/2 + 123*l**4\/2 + 249*l**3\/2 + 125*l**2\/2 = 0.\nAnswer: -1, 0, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11a9a030 + -16?\nAnswer: 11a9a015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n - 24. Let s be d(7). Suppose -5*j = -c + s*c - 1301, 1038 = 4*j + c. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100020011210122 (base 3) to base 8\nAnswer: -22553167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*v + 688261 = 0, 8*d - 5*v = 7*d + 229416. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9701019 to the power of 1\/2, to the nearest integer?\nAnswer: 3115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 124*g**2 + 784*g + 24304.\nAnswer: -4*(g - 14)*(g + 14)*(g + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 281881*s + 617103 with respect to s.\nAnswer: 281881","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 983*b + 404*b - 1798*b + 406*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 671 (b) -87 (c) -2\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61648 is divided by 239.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1919)\/(-627) + (-20)\/6?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 5, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10}. Give prob of picking 3 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 1007441736\nAnswer: 1007441756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/3, -0.7, -4.\nAnswer: -4, -0.7, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -40309 (base 10) to base 15\nAnswer: -be24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -33*k**2 + 5*k. Let n(p) = -16*p**2 + 3*p. Give 3*c(t) - 5*n(t).\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 5*c**2 + 6*c + 2. Let u be j(6). What is the greatest common divisor of u and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 12*x**2. Let u(v) be the second derivative of v**3\/6 + 4*v. Determine u(y(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n + 20. Let c be s(0). Suppose -3*o + 46 = c*o. Let f be -1 - (1 + 0 + -3). Solve b + 17 = 5*u - b, 0 = -o*u - 5*b + f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2 - z. Give g(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 - 6*b - 1. Suppose -z + 8 = -6*c + 4*c, -5*z + 13 = -c. Suppose -z*a - a = 12. Determine w(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.98629 centuries?\nAnswer: 698.629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 bigger than -210\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72 - -79)*(-36)\/3696.\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-912)\/(-33))\/2 - (-4)\/22. Suppose -2*k - 2 = l, -k + 3 = 5*l - b. Calculate the common denominator of 91\/4 and k\/24 - (3 - 6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x - 251. Let j be l(50). Let n(d) = -15*d**3 + d**2 + 2*d + 1. Determine n(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/110 - 38\/418?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3236413?\nAnswer: 3236413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1430480 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2081\/2 + 1020. Let p = o - -21. Factor 0 - p*g**2 + 0*g - 1\/2*g**3.\nAnswer: -g**2*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90528, -362086, -814682, -1448316?\nAnswer: -2262988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -15*v + 176. Give w(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xuul when four letters picked without replacement from {p: 1, x: 1, u: 2, l: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 32 = -6*w. Suppose w = 4*c - 16. Solve -5*m + 21 = -c*x + 2*x, 3*m + 5*x - 20 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 65*j - 27. Let y(x) = -5*x - 4. Determine -h(d) + 5*y(d).\nAnswer: -90*d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.6 + -8. What is the closest to 0 in 1, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3 = 2*i, 0*i + 2*a + 6 = 4*i. Suppose -14 = -4*c - h + 66, 5*c + 3*h - 100 = i. Solve -4*f - c = 0, 37 = -4*y - 2*f - 3*f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g - 14. Let v be x(4). Let k = 36 + v. Solve -3 = -4*i - k*r + r, -2*i + 3 = 3*r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2196, 9408, 21620, 38832?\n\"Answer: 2500*h**2 - 288*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 752787570 rounded to the nearest one hundred thousand?\nAnswer: 752800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 14*g**5\/9 - 398248*g**4\/9 + 944075330*g**3\/3 - 89908324*g**2 = 0.\nAnswer: 0, 2\/7, 14223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 4*a = 72. Let w(d) = d**2 - 2*d. Let o(m) = -4*m**2 + 7*m. Give a*o(f) - 21*w(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ccpcccccccccc.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633465?\nAnswer: 3, 5, 7, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -2292\nAnswer: -458.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctcc when four letters picked without replacement from mcpcpccccptmt.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrwwaaaawrwaaara. What is prob of sequence awww?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 + 0 = 0. Let t = n - -1. Let d be t\/2*(-6)\/(-9). Sort -2, -3, d in ascending order.\nAnswer: -3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/89957 and 115\/24402?\nAnswer: 313590102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 7:17 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (19 + 7)\/(2 + 0). Suppose -2*u - p = -19, 3*u - p - w = 13. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n - 10 = -14*n. Let v(k) be the first derivative of k**3\/3 + 2*k**2 + 2*k + 44. Determine v(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + sqrt(605) + 0 - 4*(-3 + sqrt(5) + sqrt(10)\/sqrt(2) + sqrt(5))).\nAnswer: -9 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 2)*15\/(-25). Let z(l) = l**3 - 5*l**2 - 24*l - 2. Let c be z(8). Is w < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7*g - 123 = 0. Suppose 5*f = 4*m - 12 - g, 0 = 4*f + 20. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 24 = -15. Let k = z + -9. Suppose -5*j + 2*j = k. Sort j, 1, -4.\nAnswer: -4, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-129)\/(-2064) - (-62)\/32\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -286.429 + 285.929. Let p = -5 - -1. What is the second smallest value in d, 0.5, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 - 2*v**3 - 7*v**3)*(6*v - 3*v - 2*v)*(-5 + 4 - 9).\nAnswer: 80*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-748)\/(-34)*32\/((-320)\/(-10)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 47 = j. What is the remainder when 18 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5438, -10878, -16318?\n\"Answer: -5440*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/2 and 11\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6988008659.\nAnswer: 61, 593, 193183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12a919 (base 14) to base 3.\nAnswer: -1012201020112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35371206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1079 - 651 = -10*f. Suppose p - 3*l - f - 984 = 0, 5*p + 5*l = 5825. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 1326734?\nAnswer: -1326732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 - 81 = -4*y. Suppose -2*h + 15 = h. Calculate the lowest common multiple of y\/60 - 8\/60 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 1 = -370*g + 375*g, -4*g - 2*c - 26 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 0*m**2 + 0*m**4 + 2*m**5 - 5\/2*m**3 - 29*m + 0. What is the second derivative of d(j) wrt j?\nAnswer: 240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -3, 4\/3, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -45 + 0 - ((-33 - -21 - -33) + -19)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*70\/(-189)*6\/(-10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-5))\/(6\/5))\/((-305)\/(-549))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 83586.8 less than -4971.6?\nAnswer: -88558.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.386 (b) -3\/8 (c) -0.12 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.111679 to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-75)*150\/60.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1210*v. Let b(t) = 493*t**2. Determine l(b(f)).\nAnswer: 596530*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 (base 8) in base 16?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = 4*j. Let v(a) = -a**2 + 7*a + 13. What is the remainder when v(7) is divided by (2 + j)*1*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 28, 106, 256, 502?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 285249 from -9.619.\nAnswer: -285258.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 17*n - 86. Solve 3*o = 2*p - 0*p + 9, 5*o = -n*p + 34 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y + 6*y + 444 - 441 + 47*y - 28*y + 40*y + (-4 - 1 + 2)*(-y - y + y) + 2*y - 4*y + 0*y as z + i*y and give i.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, p: 3, y: 2, h: 6}. What is prob of picking 2 p and 1 o?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-396)\/594*(-9)\/167172*4*-1. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 8*a + 9*a - 7, 0 = 4*f + a - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 239.331 take away 0.369?\nAnswer: 238.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 0 - 2*n**2 + 0. Let j(u) be the second derivative of 0*u**2 + 0 - 1\/12*u**4 + 0*u**3 - 3*u. Determine j(r(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**2\/2 + 7. Let k(u) = 7*u**2 + 2*u + 2. Let a(v) = -155*v**2 - 45*v - 45. Let t(i) = 2*a(i) + 45*k(i). Calculate t(c(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100210010 (base 3) to base 2.\nAnswer: 1011010110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -5. Suppose -3*o = i - 11, -i + 1 = p*o - 12. Suppose -u - 5*r + 32 = i, 23 = u + 4*r. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**3 + 2*q - 1. Let b(p) = -2*p**3 - p + 1. Let s = 1 - -8. Suppose y - 4*i - 17 = -s*i, -20 = -5*i. Calculate y*c(a) - 4*b(a).\nAnswer: -a**3 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -470, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z*z*z**22*z*z)*z*z**(-4\/5) assuming z is positive.\nAnswer: z**(-129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5\/5 - 14*q**4\/5 - 36*q**3\/5 + 162*q**2\/5 + 837*q\/5 + 972\/5.\nAnswer: -(q - 4)*(q + 3)**3*(q + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -233800 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/79 or 0.6?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1328\/(-12))\/(4\/(-6)). Suppose -4*f + 322 = -m, -p = -2*f - 0*f - 2*m. Does 27 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018310453 to 7 decimal places.\nAnswer: 0.0000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 203.68639111?\nAnswer: -203.38639111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -23\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110211 - -10020?\nAnswer: 1121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21.55106ng?\nAnswer: 0.00000000002155106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1256*k**3 + 2863*k**3 + 2*k + 3 - 1440*k**3 as q + p*k**2 + t*k + o*k**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 0*q**5 + 0*q**6 + 0 + 1\/2*q**3 - 1\/21*q**7 + 0*q**4 - 2*q + 0*q**2. Find the second derivative of v(p) wrt p.\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7464*i**2*l*n + 2*i**2*n**3 + i*l*n**2 + 2*i*l*n + 3*i*l + 124*n**3 wrt i?\nAnswer: -14928*l*n + 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 30131333333 (base 4) to base 15\nAnswer: 448722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 + 1 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 153*u + 18095. Determine g(-133).\nAnswer: -2254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 - 470*h**3 + 17196*h**2 + 36288*h.\nAnswer: 2*h*(h - 189)*(h - 48)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38.6 - -107.9. Let h = b - 185. Round h to 0 dps.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, s: 1, g: 1}. What is prob of sequence dg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -28*x**3 - 297*x**2 - 158*x + 117. Calculate u(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33125295.\nAnswer: 3, 5, 7, 389, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 23\/20*n**4 + 6\/5*n**2 - 8\/25*n**5 + 0*n + 1\/30*n**6 + 100 - 28\/15*n**3. Factor x(p).\nAnswer: p*(p - 3)*(p - 2)**2*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 322, 648, 974, 1300, 1626, 1952?\n\"Answer: 326*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 3. Let t be x(2). Let f be -1 - 3 - (0 + t). Let g(r) = 10*r**3 - 24*r + 14. Let o(b) = -2*b**3 + 5*b - 3. What is f*g(i) - 14*o(i)?\nAnswer: -2*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c99 + -4?\nAnswer: -1c9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -451*g - 4 + 9 - 5 - 246*g to the form o + p*g and give p.\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 0 - 1\/80*p**5 + 0*p + 22*p**2 - 3\/64*p**4 - 1\/16*p**3. Solve o(k) = 0 for k.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003676238817 to seven dps.\nAnswer: 0.0036762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11631548 or -11631540?\nAnswer: -11631540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 = 3*x, 0 = 5*x + 40*h - 43*h + 10. Let c(v) = 30*v - 31. Let t be c(x). Let q(y) = -5*y. Calculate q(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4900753\/372 - 13174. Calculate the common denominator of 13\/108 and a.\nAnswer: 3348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**4 + 647*y**3 - 8011*y**2 - 67967*y - 59310 = 0. Calculate y.\nAnswer: -659, -5, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r = -13*r - 8*r - 30. Sort -0.1, r, 8, 4, -5\/4.\nAnswer: -5\/4, -0.1, r, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-266 - -276 - (7 - 1))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4*sqrt(48) + 4))**2 + -3.\nAnswer: -4608*sqrt(3) + 28221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 0*b**2 + 40 + 7\/2*b**5 + 25\/8*b**4 + 0*b - 5\/3*b**3. What is a in j(a) = 0?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5*6\/(-75))\/((-1)\/(-5)). Suppose -5*x - 27 = -4*s, k*s + 6 = -5*x - 3. Solve -4*i = s*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-138)\/(-30))\/((-205)\/1025).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 468.0139 + -0.0139. Let k = s + -468.00658. Round k to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/20 - -3)*(39\/(-3) + 17).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -32 - (183 + -175 - (-2 - -6))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78976 and 20361.\nAnswer: 2606208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1419030 rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -447, -0.3, -4, 0, 27151\/3.\nAnswer: -447, -4, -3, -0.3, 0, 27151\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45927*a**4 - 40228*a**2 wrt a.\nAnswer: -1102248*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -4. Let p = 1.6 + -6.2. Let o = p + 5. What is the third biggest value in c, o, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 376\/3, 642944 in ascending order.\nAnswer: 1, 376\/3, 642944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fibbcfiifjijcfcii. What is prob of sequence fcci?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -79, -5, -32, -3, 223 in ascending order.\nAnswer: -79, -32, -5, -3, 0, 5, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 5:55 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -87, -75, -61, -45, -27?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9206671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 3528256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 179703 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 times 29?\nAnswer: 1827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + t - t + t - 4*t + 6*t + 3*t + 0*t - 4*t + (3 + 0 - 5)*(2*t + 0 + 0) + 3*t - 3*t - t - 3*t + t - t)*(6*t + 5*t - 4*t).\nAnswer: -35*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**5\/2 - 1689*r**4 - 203325*r**3\/2 - 1590636*r**2 - 2883048*r - 1392384 = 0.\nAnswer: -28, -1, 1184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 26*d - 14. Suppose 2 = 4*z - 2. Factor -z - 3*i - 4*i**2 + d - 62*i**3 + 61*i**3.\nAnswer: -i*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3\/(0\/(-1) + 9\/84) and 49?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -24. Let s(z) = -h - 3*z**3 - 8*z**4 + 0*z**3 - 5. Let d(a) = a**4 - a**3. Let w(b) = 3*d(b) - s(b). Find the first derivative of w(u) wrt u.\nAnswer: 44*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9531 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.03982 or -4615?\nAnswer: 0.03982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34725179 is divided by 373?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 24*d**2 + 58*d - 108. Give s(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -354179*i**3 - 303379*i**2 + 5*i?\nAnswer: -2125074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18019111.61 + 238.\nAnswer: -18018873.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.23 less than -1940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y. Let u(q) be the third derivative of 1213*q**5\/60 + 40*q**2 - 3*q. Give j(u(t)).\nAnswer: -1213*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4206\/1765 - -6\/353. Let z(v) be the first derivative of 16\/5*v + k*v**2 + 1\/10*v**4 + 2 + 4\/5*v**3. Solve z(r) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-50)\/(-10) + -1 + -1. Suppose 11 = w*q - 4. Solve -18 = -3*h + 3*g, 0*g = q*g + 20 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1186*k - 1186*k - 9*k**2)*(-7*k**2 - k**2 + 56*k**2) to the form z*k**4 + h*k**2 + d*k + v + g*k**3 and give z.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1585 is divided by 57.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n = 385 - 638 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*t - 13 = 0, 0 = -l - 3*l - 4*t + 12. Suppose 4*f = 5*w - 15 - 6, 2*w = -5*f + 15. Suppose 536*a = 546*a. Put a, f, l in decreasing order.\nAnswer: f, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39.02611 - -4\nAnswer: -35.02611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c**4 + 2*c**4 + c**4)*(-273*c + 2 + 233*c + 202*c).\nAnswer: -648*c**5 - 8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63372?\nAnswer: 2, 3, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 12*q**2 - 19*q - 18. Let k be u(-13). Suppose 0 = -3*x - 6 + k. Calculate the remainder when 49 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 214204 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.36 - -1.64. Let k = -1\/10 - -13\/30. Let w = -0.02 - -0.42. What is the nearest to c in 1, k, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + -2. Let a(z) = 24*z + 1. Let q(w) = 11*w. Suppose 0 = -3*m - 0*i - 5*i + 23, 0 = 4*i - 4. Let t(k) = m*a(k) - 13*q(k). Determine t(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/1563813 and 32\/187?\nAnswer: 17201943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163194647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 390295286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -1764*u**5 + 79716*u**4 - 166840*u**3 + 29616*u**2 - 1376*u = 0.\nAnswer: 0, 2\/21, 2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.4? (a) 4\/15 (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*c = -51*c - d + 28, -3*d = 3*c + 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w + 4*w + 2*w + 4*w + 0*w - 2*w + (-5*w + w + 2*w)*(2 + 0 + 0) + 2 - 1 + 13*w + 10 - 1.\nAnswer: 12*w + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 - 1 - f + 0 + 3*f**2 - 4. Calculate q(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1395 by -155.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01047 * -3.\nAnswer: 0.03141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**7\/63 + 2*g**6\/15 - 3*g**5\/10 - 2*g**4\/9 + 4*g**3\/3 - 93*g. What is u in s(u) = 0?\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 11*m**2 - 10*m - 6. Let c be w(-10). Let b = -8 - c. Suppose 3 + 5 = 2*v. Put v, 3, b in descending order.\nAnswer: v, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 18\/(-12)*4\/(-9)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20\/19 - 1. Let r = n - 67\/190. Let d be 0\/(-4)*(2 - (3 - 2)). Is d at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23709*u*w**3 + 30*u + 394*w wrt w.\nAnswer: 142254*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -425861 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 56 = 2*f, -2*f + 4*u = -0*u - 64. What is the lowest common multiple of f and -4*18\/48 + 9\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4361527 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1ca (base 15) to base 3\nAnswer: 120101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**4\/4 - 14*q**3\/3 + 7*q**2\/2 - 10*q - 1. Let y = 26 + -12. What are the prime factors of u(y)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 6*o + 4. Let a be 345\/46*(-4)\/6. What is n(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -1, 2, 4, -4 in descending order.\nAnswer: 4, 2, -1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlpnc. What is prob of picking 1 n and 1 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aana when four letters picked without replacement from {y: 5, a: 5, n: 2}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 339563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 10, w: 9}. Give prob of picking 1 w and 1 a.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.506949 + 19.4930518. Let g = 25.09 + -0.09. Let i = g - c. What is i rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2.411 = 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1038 divided by 346.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 s when three letters picked without replacement from {c: 2, s: 5, g: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (30\/(-8))\/((-13)\/(5408\/24)). Solve h*m - 7 = 72*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325548 = w + 325617 for w.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 82 - 4*j - j - 61. Let o be a(5). Is ((-7)\/o)\/((-1)\/(-212)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -17. Let b = 23.5 - 23. Sort b, -3, z in decreasing order.\nAnswer: b, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 3)*(-x**2 + x**2 - 2*x**3) + (-3 + 0 + 1)*(-x**3 + 4*x**3 - 2*x**3).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (12 + -4 + -5) - (2 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32.56 and -0.3.\nAnswer: 9.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + 133 + (4 - 0 - (27 - 26)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -64. Suppose s = -4*k + 660, 2*k - 2*s - z = 270. What is the greatest common factor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 5. Suppose 14 = r*g - 38. List the prime factors of g\/6 + (-20)\/(-15) + 78.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 + 5*b**2 - b**4)*(-17 + 311 - 148)*(-28 - 6*b - 6*b + 13*b).\nAnswer: -146*b**5 + 4088*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3730600 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 12:31 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - -2*sqrt(320)) + sqrt(320) + 4.\nAnswer: 4 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.81 + -0.687. Round z to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1227162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42042411 + -4?\nAnswer: -42042420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1839)\/((63\/135)\/(-7)). Suppose 0 = -77*q + 62*q + i. What are the prime factors of q?\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1074150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - h + 2*h + 2*h.\nAnswer: 3*h - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(171) + 0 - sqrt(171)) + sqrt(171))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1999856466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -5*x**2\/2 + 3222. Let a(i) = 84*i**2 + 1. Calculate c(a(u)).\nAnswer: -420*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -74428, -74434, -74452, -74488, -74548, -74638, -74764, -74932?\n\"Answer: -f**3 + f - 74428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 11. Let k be 2\/(-4) - m\/(-2). Suppose 3*v - 5 = -5*q, 3*q + 1 = 5*q + v. Put q, k, -1\/2 in increasing order.\nAnswer: q, -1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -4, -7, -1.7.\nAnswer: -18, -7, -4, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 8\/1413, 2\/13, -2.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 + 61 = 3*n. List the prime factors of n.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**(-8)\/s)*s*s**8 assuming s is positive.\nAnswer: s**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 440785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*b + 1608*b**2 - 195*b - 198*b + 567*b - 2.\nAnswer: 1608*b**2 - 23*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -114602, 2.\nAnswer: -114602, -6, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 113, 1407, 5177, 12689, 25209?\n\"Answer: 211*d**3 - 28*d**2 - 99*d + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l**2 + 2*l**2 + 2*l**2. Let h(k) = k**2 - 2*k. Let v(q) = -3*q**2 + 5*q. Let c = -5 + 3. Let d(s) = c*v(s) - 5*h(s). Give r(d(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*w + 2 = -21, p - 14 = -4*w. Suppose -p*i = -0*i. Suppose -2*k + 6 = 4*y, 4*k + i = -4. Solve 3*x + y*x = 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 8 = 8. Let j(l) = -2*l**2 - l. Let a be j(-3). Put -3\/7, y, a in decreasing order.\nAnswer: y, -3\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**4\/24 - 4*i**3\/3 - 16*i**2 - 12*i. Factor b(w).\nAnswer: -(w + 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -9*q. Let j(r) = -r**2 - 1. Let t be -4*((-4)\/8 + 2). Let i(p) = -3*p**2 - 6. Let m(a) = t*j(a) + i(a). Determine m(x(v)).\nAnswer: 243*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 11:42 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 3. Let v be h(3). Let t(c) be the first derivative of v*c + 0*c**3 - 3\/4*c**4 - 3 - c**2. Find the second derivative of t(w) wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4638? (a) 8 (b) 19\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105976, 106016, 106060, 106108, 106160, 106216?\nAnswer: 106276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/4 - 4\/8. Let z = 5 - t. Suppose 0 = 3*y + z - 25. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244022311 (base 5) to base 3.\nAnswer: -2011211020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(150))\/sqrt(2) + 6*(sqrt(363)*2)**2.\nAnswer: 25*sqrt(3) + 8712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**4 + 10*c + c**4 + 12 + 96*c**3 - 106*c**3 - 10*c**2 - 5*c**4 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.0289, -77, -1.6, 5, 0.4?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4809 + -2953.9. Let p = b - 1955. Let a = -92 - p. Round a to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 10:40 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 - 2*d + 2*d - 3 + 10*d**3.\nAnswer: 6*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3870 and 270.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 9\/29, 8, 1.1, -11, -14?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + 1 + -14 + 11\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 157 and 2669.\nAnswer: 2669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (468\/(-30))\/((-3)\/(-10)) - -1. Let q = 101 + l. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 81 + 3*i**4 + 0*i**2 + 24*i**3 + 0*i - 4\/5*i**5. Solve b(y) = 0.\nAnswer: -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 14*n + 4. Let l be u(-10). Let v be l\/10 + 4\/(-10). Suppose -k = k - v. Which is the second smallest value? (a) 1\/5 (b) k (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1675.601 microseconds in seconds?\nAnswer: 0.001675601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 3*w = 2*l - 3, 0 = 2*l - 4*w - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 - 4927128*s**3 + 14781366*s**2 - 14781360*s + 4927119.\nAnswer: 3*(s - 1642373)*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 6*p. Let n = -132\/5 + 1706\/65. Is n equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 2:32 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 711979 smaller than 711979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 2:48 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-2))\/((-2)\/(-4)). What is the remainder when l\/(((-8)\/194)\/(-2)) is divided by ((-4)\/(-6) - 0)*10\/50*105?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 786*z**2 - 2439*z + 14310.\nAnswer: 3*(z - 265)*(z - 3)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111 divided by 796.\nAnswer: -111\/796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3046336351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 767*h**3*o**2 - 117*h**3 - 2*h**2*o**4 + 4*h**2*o wrt o.\nAnswer: 1534*h**3 - 24*h**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - b - 4. Let g be d(4). Suppose 2*z + 4*z - g = 0. What is the remainder when (-8)\/6*18\/(-4) is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 15. Let f(i) = 2*i**2 + 2*i**2 - 6*i - 5*i**2. What is the least common multiple of 3 and f(u)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + sqrt(125) + sqrt(125) + -1) + -4)**2.\nAnswer: 640*sqrt(5) + 8064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**24))\/k**(-4\/7))\/(k**(-14)*k*k)**22 assuming k is positive.\nAnswer: k**(2020\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3668)\/588 + (-2)\/42*9.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13.90017696541 and 33.\nAnswer: 19.09982303459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-8))\/(25\/(-20)). What is the third smallest value in g, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 3:24 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 183*r - 17 + 24 as f*r + v and give f.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381 - 97*f - 4410*f**2 - 381 + 99*f.\nAnswer: -4410*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/2)*u*((u**24\/u)\/u*u*u)\/u*u)\/((u**13*u)\/(u**(3\/4)*u)))**(-2\/23) assuming u is positive.\nAnswer: u**(-45\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4840 = -5*t + 2715. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*k + k - 2*n, -4*k - 1 = -n. Let o(b) be the first derivative of -1\/2*b**2 - 56 + 3*b. Calculate o(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 962*v**3 - 13 + 14 + 236*v**2 + 202*v**2 wrt v.\nAnswer: 5772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 - 11*r**2 - 10*r - 28. Let k be d(7). Solve 43 - k = 6*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -134.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6824 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21.73703 weeks?\nAnswer: 13146555744000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 4 - (-8 - (3 + (-7 - 1))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 136505232 and 1542432?\nAnswer: 273010464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m*p*q**2 - 267387136*m*p - 427899*m*q**2 - 64*m*q wrt p?\nAnswer: 2*m*q**2 - 267387136*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2225 + 876. Calculate the greatest common factor of 21 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 21 = -t + c, -2*t - 23 = -5*c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3) + (-82)\/930. Let r = f - -2\/93. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4644 divide 2024192663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 10 = x, 29*t + 4*x + 24 = 33*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15522564, -15522488, -15522412, -15522336, -15522260, -15522184?\nAnswer: -15522108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -20, 3, 6 in descending order.\nAnswer: 6, 5, 3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.29 + -3.49. Let z = 3.20000122 + d. Round z to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1519 and -1520 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10\/11 - -92\/77. Let k = 5.4 + -5. Let m = 8225 + -8225.2. Which is the nearest to m? (a) k (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172306485 divided by 16263.\nAnswer: 10595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -714*t - 17. Let n(z) = 716*z + 23. Calculate 2*n(r) + 3*p(r).\nAnswer: -710*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 48?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 + 54. Let u be (10\/20)\/((10\/h)\/5). Solve -u*k = d - 4*d - 7, 2*k = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503469239 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 3*p - 28. Let z(d) = d**2 - d - 1. Give t(n) + 2*z(n).\nAnswer: 4*n**2 + n - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) 16 (c) 10.6 (d) 67 (e) 1 (f) 4\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1356 is divided by 128.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -12 - (7 - (14 + 7))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-285855)\/4845*(-1)\/2*2?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2137 + -1190. Suppose -4*f - m = -q - 2*q, -4*f - 20 = 0. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/3))**(5\/9)*(q*q\/(q**7*q*q))\/((q\/q**(-8))\/q) assuming q is positive.\nAnswer: q**(-395\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in ninety-one quarters of a millennium?\nAnswer: 2275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -7. Suppose -3*r + 30 + 63 = 0. Find the common denominator of q\/8 - (-1)\/2 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*o**2 + 371*o - 371*o)*(-3*o - 3*o + 2*o) + (o - 2*o + 3*o)*(o**2 - 3*o**2 + 3*o**2) - o**3 - o**3 - o**3 as t*o**2 + z*o + m + d*o**3 and give d.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + a + 305 = 0, 4*g - 172 - 228 = -2*a. Suppose g - 105 = -i. Factor -14\/19*w - 10\/19*w**3 + 2\/19*w**i + 4\/19 + 18\/19*w**2.\nAnswer: 2*(w - 2)*(w - 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.3425988 grams?\nAnswer: 0.0000003425988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20364 (base 8) in base 6?\nAnswer: 103020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17190635 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*u = 5*z - 5910, -3*u = 2*z - 3940. Is 71 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-3 - -2)) + (190 - 195)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5200446140 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 60320.\nAnswer: 60316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-167 - -4) + -2662 + 2742?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/4 - 4858*r + 6477\/4.\nAnswer: (r - 6477)*(3*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34.92 + -34.98. Which is the closest to 0? (a) p (b) -4 (c) 6 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - (sqrt(272) + 1 + sqrt(272)) - sqrt(272)) + -1)*4 + 2.\nAnswer: -32*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -51621 (base 10) to base 15\nAnswer: -10466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59731071 to the power of 1\/2, to the nearest integer?\nAnswer: 7729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13498*w + 13496*w - 16 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125060 and 1353460?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 3496?\nAnswer: 17480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -25*n + 65. Solve -2*p = -n*q + 1 + 29, 0 = 2*p + 5*q - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**3 - 48*v**2 - 19*v + 57. Calculate the lowest common multiple of 7 and d(10).\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 48*q. Let o(h) = 389*h. Determine f(o(k)).\nAnswer: 18672*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18359\/255 + 5638\/85. Let r = 3104\/11 - 282. Sort j, -7, r in decreasing order.\nAnswer: r, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70*a**5 + 3*a**3 + 2*a**2 - 9846*a wrt a.\nAnswer: 1400*a**3 + 18*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474003 is divided by 157986.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 2\/3, -2.\nAnswer: -2, -1, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5 - (-96)\/60. Let j(p) = -3*p**2 - 3*p**h - 4*p**2 - 5*p**2. Let m(n) = -n. What is j(m(s))?\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/1216374555?\nAnswer: 2\/1216374555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20759717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -4, -1, 23, 5, 6 in ascending order.\nAnswer: -22, -4, -1, 5, 6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.36? (a) -26 (b) -2 (c) 1 (d) 0.04 (e) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anx when three letters picked without replacement from annnananxaaxanaxxaaa.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.0231, -0.7, -5\/2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 487443\/80 and 6093 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00558123676 rounded to 6 dps?\nAnswer: 0.005581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 5*t - 1. Let i be o(-6). Let n(z) = -z**2 + 4*z + 4. Let f be n(i). Let d = 3.3 - -1.7. What is the nearest to f in -0.3, d, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 18*x + 139. Give o(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 27*r + 104. What is h(23)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + ((13 - 10) + 0 - 13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oooojjojoo.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -88 and -0.6.\nAnswer: 52.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 1047 = 992. Solve -31 = j*d + 3*r, 8*d + r = 3*d - 27 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 520 = 2*j. Let r = 344 - j. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 16*d**3 + 10*d**2 - 5*d + 5. Let f(v) = 8*v**3 + 5*v**2 - 3*v + 3. Let x(l) = 5*f(l) - 3*w(l). What is the third derivative of x(p) wrt p?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-24118.6\nAnswer: -24118.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(8\/(-12))\/(-1))\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/(8\/5*1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-3 + (-4 - 5)) - 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -20\/13 + 74\/13*q - 14\/13*q**2 = 0.\nAnswer: 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d - 4*d + d)*(-8 - 2*d + 5 + 0*d) to the form z*d + n + f*d**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i\/i**(2\/7)*i*i)\/((i\/i**(2\/5))\/i))**(-22) assuming i is positive.\nAnswer: i**(-3938\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 1. Let g(t) be the second derivative of -t**3\/6 - 7*t. Calculate -3*g(y) + s(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/8270 and 59\/15.\nAnswer: 24810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 668758 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -3 - (14 + (-19 - ((9 - 21) + -5)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 52*h**4\/3 - 55420*h**3 - 705888*h**2 - 3004912*h\/3 + 376640 = 0.\nAnswer: -11, -2, 4\/13, 3210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 4 - 137*n + 0 - 21 + 0.\nAnswer: -137*n - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (52\/65)\/(5\/4075). Let r = a + 1211. What are the prime factors of r?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a - 225 = -261. Solve 0 = -i - 3*z - a, -2*i - 3*z = -16 + 17 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 612084 and 3598312.\nAnswer: 118744296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3104.029286 rounded to 1 decimal place?\nAnswer: -3104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**6\/40 - 3*u**5\/20 - u**4\/4 + 22*u**2 + 3*u. Let y(p) = 0. What is p?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9379\/13 - -723. Let r = -34\/39 + y. Let n = 122 + -1100\/9. Which is the closest to r? (a) -3 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -1242.\nAnswer: 22\/621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxbx when four letters picked without replacement from {b: 2, x: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 0.1, 2\/13, 2, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -8*s - 44. Let w = s + -30. Which is the nearest to -1? (a) -4 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -10 - (355 - 343)) + 71 + -2\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/15)*k)\/k**5)**(-2\/21)\/(k\/k**(2\/9)*k**(-4)*(k\/(k\/(k*k**4*k*k)))\/k**(-1\/4)) assuming k is positive.\nAnswer: k**(-4699\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41529*t**3 + 4*t**2 + 379970*t?\nAnswer: -249174*t + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 7:33 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**18*z)\/((z\/(z*z\/(z*z\/z**(-1\/6)*z)*z))\/z*z))**(-50) assuming z is positive.\nAnswer: z**(-2825\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20305962503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -51573 (base 9) in base 16?\nAnswer: -84d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 10 - (-15 + 0 + 6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54\/1609 + 3488\/8045. Factor 2\/5*n**2 + 0 - g*n.\nAnswer: 2*n*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 35\/9 - (-14)\/126. Let h be (2 - (-9)\/(-6))*34. Find the second derivative of 8*a**n - h*a + 2*a + 11*a**4 wrt a.\nAnswer: 228*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69826345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + 1 - 1 + (-t**3 + 0*t**3 + 3*t**3)*(3*t - t - 3*t) - 2*t**4 - t**4 - 3*t**4.\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 20 + 15 = 0. Suppose -m + v = -1. Calculate the smallest common multiple of 4 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 437639559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 99 - 64 = -u, 4*u = 0. Which is bigger: n or 157?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.3. Let f = -7.11 - -7.01. Let y = 11 + -8. What is the nearest to r in 5, f, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1542 = -n, 4*o - n = 3*n + 6160. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*d - 7157702 = -132*d. What is the highest common factor of 274 and d?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*h*o**2*v**6 - 2*h*v**6 + 3*h*v + 29*o**2*v**2 + 2*v**2 wrt v?\nAnswer: 4440*h*o**2*v**3 - 240*h*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18 (b) 2\/39 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87559\/4 - 18\/108*18\/4.\nAnswer: 7, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**5\/20 - 5*n**4\/6 - 5*n**3\/6 + 2*n**2 - 59*n. Let p be m(-10). Calculate the highest common factor of 81 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289100.6 millilitres to litres.\nAnswer: 289.1006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**2\/5 + 5584*p\/5 - 5921103\/5 = 0?\nAnswer: 1423, 4161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 194 = 2*k - 232, r - 2*k = -8. Solve 5*m + 5*x = 5, -22*x = 2*m - 21*x - r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32019.08 and 2?\nAnswer: 64038.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**4\/12 - 5*t**3\/6 + t**2 + 2*t. Let u(g) = -g**2 - 4*g. Let p be u(-2). What is i(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3097979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1398.8 times 3\nAnswer: 4196.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -c + 6*c. Differentiate 3*o**3 + 4 - c*o**3 + 3 with respect to o.\nAnswer: -33*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 13669869.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5843681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 34 + 56. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 127981 and 24118.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 138*c - 917.\nAnswer: -(c + 7)*(c + 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51.9 + -266.6. Let b = m + 318. What is the second biggest value in -2\/19, b, 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/9*(-11)\/22. What is the closest to f in -2\/13, 2\/11, 0.5, 7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335943523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - -18. Let y = -17 + s. Let l(w) = 14*w - 2. Let k be l(3). Calculate the highest common factor of y and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**2 + 3*w + 6. Let f be h(-6). Let c be ((-1)\/(-3))\/(11\/5148). Let t = f + c. Calculate the highest common factor of 90 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/23)\/u**(-1\/17)*u**(-2\/51)*u*u*u**13 assuming u is positive.\nAnswer: u**(17720\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -149 + 149. Let w(s) be the third derivative of -2\/15*s**5 + k*s + 0*s**4 - 6*s**2 + 0 + 7\/6*s**3. What is the derivative of w(i) wrt i?\nAnswer: -16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/854 and -23\/12.\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81 + 49. Let s = 32.1 + x. Put -0.2, -3\/2, 0.4, s in increasing order.\nAnswer: -3\/2, -0.2, s, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12829, 12835, 12843, 12853, 12865?\n\"Answer: n**2 + 3*n + 12825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 4*g + 4. Let a be b(5). Let o be (0 + a)\/((-6)\/4). Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -258? (a) 305 (b) 1\/6 (c) -1 (d) -258\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 875.21328 rounded to 1 decimal place?\nAnswer: 875.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 13*z**4\/24 - 17*z**2 + 2*z. Let m(v) = 5*v. What is m(a(k))?\nAnswer: 65*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n + 20. Calculate d(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*x**2 + 18*x**2 + 42*x**2 + 2*x**2 + 0*x + 0*x + (1 + 0 + 1)*(x**2 + 2*x**2 - 5*x**2) - x**2 + 1 - 1.\nAnswer: 43*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 138091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) - sqrt(126)*1)\/sqrt(2) - sqrt(63))\/(1*sqrt(36)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence raae when four letters picked without replacement from {k: 1, e: 13, r: 1, s: 3, a: 2}.\nAnswer: 13\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0208 - -7168959.7854.\nAnswer: 7168959.8062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 8*i + 1. Let m be (2 - i)*(-6 - 1). Let w(l) = -2*l**2 + 1. Let v(n) = 6*n**2 - 3. Calculate m*w(h) - 2*v(h).\nAnswer: 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**4 + x**3 - x**2 - x + 1. Let p(c) = 2*c**4 + c**3 + c**2 - c + 1. Let w(f) = -m(f) + p(f). What is the third derivative of w(a) wrt a?\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 - 367*f**2 - 11133*f + 642. Determine x(210).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**8\/84 - 4*a**7\/105 - a**6\/15 + 4*a**5\/15 + a**4\/6 - 4*a**3\/3 + 6*a**2. What is b in k(b) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 30 = -r. Suppose -r*y - 2*b + 81 = -46, -4*y + 3*b = -120. What is the remainder when 52 is divided by y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41 and -485.871?\nAnswer: 19920.711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 28. Let a = -12 - v. Is (a\/(-4))\/(3\/195) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p + 1. Let u be f(-1). Which is the third biggest value? (a) 3\/7 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-6))\/((-3)\/(-9)). Suppose 4*h + 4*o = 2*o + 2, 23 = 4*h - 5*o. Suppose 2*f - 110 = -h*q, -v*f = -4*q + 90 + 166. List the prime factors of q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (16\/(-10) - (-611)\/(-235))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 324283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(180)*1 + sqrt(5) + 2 + sqrt(5) + -3)**2.\nAnswer: -16*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 217 = 2*g, -39 = -a + 2*g + 28. Suppose -a*t = -73*t. Find k, given that 0 + 3\/5*k**4 - 3\/5*k**2 - 1\/5*k**3 + t*k + 1\/5*k**5 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, n: 6}. Give prob of sequence bbnn.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 - -0.07000072. What is h rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001686568 to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, y: 3}. Give prob of picking 1 m and 3 y.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-580)\/2030)\/((-12)\/63)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a. Suppose -2*q - 10 = -0*q + 2*j, 4*q - 15 = 3*j. Let z(o) be the second derivative of -5*o + q*o**2 + 0 + 1\/3*o**3. Give s(z(r)).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0, 2\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 7*d**2 - 9*d + 6. Suppose -2*r = -9 + 1. Calculate the lowest common multiple of f(r) and 26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 10*c - 3. Let n(x) = 2*x**2 - 5*x + 1. What is -2*j(k) - 5*n(k)?\nAnswer: -8*k**2 + 5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*5\/(-35))\/(2\/14*-3)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1020539 and 1508?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 93890 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.4472 rounded to one dp?\nAnswer: -9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. What is the remainder when (3 + -4)*1 - -20 is divided by (w + 3)*10\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19\/7 + -2 + -1. Let u = 0 + -4. Let g(t) = t - 8. Let v be g(10). What is the closest to v in m, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*m - 28 = -4*m, -2*v - 3*m + 44 = 0. Suppose 3*b = 97 + 281. What is the remainder when b is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*m - 31, 3 + 44 = 3*m + 5*n. What is the remainder when 40 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/7))**(10\/3))**(-5) assuming h is positive.\nAnswer: h**(100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 11*k - 1. Let s(u) = -1. Determine -a(b) - s(b).\nAnswer: -11*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -29*g**3 - 2*g**2 - 5*g + 2. Let u(m) = 59*m**3 + 5*m**2 + 10*m - 5. Let n(l) = -2*u(l) - 5*x(l). What is the second derivative of n(k) wrt k?\nAnswer: 162*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a week in minutes?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 7*m - 14. Let b be a(5). What is the nearest to -1 in -4\/11, -0.3, b?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2425055 is divided by 346402?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + (-5*sqrt(1331)*2 - (2 + (sqrt(1331) - (sqrt(1331) + 0)))) + (1 + sqrt(1331) - sqrt(1331)) + -5 + 3))**2.\nAnswer: -5500*sqrt(11) + 3327525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 145\/5719 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 143\/27, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/8 and 79\/820.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i**5 + 295*i**4\/2 - 215*i**3\/2 - 295*i**2\/2 + 255*i\/2 = 0. Calculate i.\nAnswer: -1, 0, 1, 51\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 181 = 5*r, 3*q - 154 = -5*r - 27. Let n(o) = -110*o**3 - 12*o**2 - 25*o - 13. Let c be n(-1). Calculate the greatest common factor of c and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*b + 2*b + 44, -5*r + 50 = -5*b. Let i = 9 + b. Solve 0 = v - 3*a + 8, a - 3 + i = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8873 (base 10) in base 2?\nAnswer: -10001010101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 5\/2*x**2 + 1\/3*x**3 + 0 + 3*x. Give p(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 300*(10200\/476)\/((-18)\/66220). Round m to the nearest one hundred thousand.\nAnswer: -23700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t. Let r(u) = 520777*u. Calculate n(r(b)).\nAnswer: -1041554*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2\/d*d)**(-27)*d\/(d\/d**(3\/5)*d)*d**(5\/2)\/d*d assuming d is positive.\nAnswer: d**(-519\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**3 - b**2 + 7*b + 5. Let s(k) = 5*k**3 - 2*k**2 + 11*k + 8. Let c = -39 - -18. Let v = c + 16. What is v*s(o) + 8*f(o)?\nAnswer: -o**3 + 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 82*j**2 - 115*j + 1972. What is the tens digit of r(84)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c + c + 110 + 101 - 6*c - 211.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2) + -1)*-2. Let z be (-190)\/70 + 4\/(-14). List the prime factors of -57*(k + 4\/z).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -15. Suppose -o + z = -3*a, -o = -5*a - 0*o - 4. Solve 4*s + t - 13 - 1 = a, -15 = -3*s - 3*t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.225 and -156611.886.\nAnswer: -156612.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-22) - 150\/462. Sort -7\/6, c, 1\/5 in increasing order.\nAnswer: -7\/6, c, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -393 - -425. What is the smallest common multiple of 4 and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 304*x + 45. Is p(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1249 is divided by 332?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p - 34. Let v be m(6). Find the second derivative of -16*o**v - 19 - 4*o + 26*o + 19 wrt o.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 4*d**2 + 0*d - 2\/3*d**3 - 1\/60*d**5 + 0 + 1\/4*d**4. List the prime factors of g(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -111*r + 94?\nAnswer: -111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u - 9*u - 3*z - 32 = 0, 4*u + 3*z - 8 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/24*1 + 10\/3. Suppose 3*x = -5*r + 25 + 2, 4*x = y*r + 68. Solve 3*q + 0*q - x = -m, -2*m = 5*q - 23 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**(6\/5))**(-2\/99))**9)**(8\/7))**31 assuming a is positive.\nAnswer: a**(496\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*o + 111 = -233. Put 2, 0, 1, o in decreasing order.\nAnswer: o, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7 (b) -2 (c) 135 (d) -126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53862 and 3820.\nAnswer: 538620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 143*m - 5. Let g be l(-5). Let v = -385 - g. Does 4 divide (-4)\/10 + v\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*o - 28*o + 205*o**3 - 45*o - 207*o**3 - 406 + 406.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 719 - 525 = -3*s, 2*s - 4*n - 828 = 0. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2 + 0*z**3 + 5*z**2 + z**3 + 4*z = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(12) + (sqrt(3) - sqrt(3)*2)*-1)**2.\nAnswer: 12*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, i: 1, a: 3, y: 1, l: 4, c: 6}. Give prob of sequence aiyb.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.04, 2\/23, 4, -4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/15 - 28*g\/15 - 48\/5.\nAnswer: 2*(g - 18)*(g + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of s**6\/60 + 2*s**5\/15 + 5*s**4\/12 + 2*s**3\/3 - 3*s**2\/2 + 3. Let p(t) be the second derivative of v(t). Factor p(x).\nAnswer: 2*(x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 8*y - 211. Let z(v) = 3*v - 71. Calculate 4*w(x) - 11*z(x).\nAnswer: -x - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from dxduu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5711803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 + -61. Suppose -3*h = p - n, 2*p - 4*h - 8 - 2 = 0. Solve 0 = 2*j + r - 2*r - 3, 0 = -4*j - p*r + 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o + 1 + 3*o**2 - 2*o**2 + 4*o. Let t be r(-3). Suppose t = 4*q - 12. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15520 rounded to the nearest 100?\nAnswer: 15500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/1*(-108)\/42. What are the prime factors of ((-10)\/8)\/((-9)\/d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 2:54 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -x + 5. Suppose x = -l - 4*o + 24, 57 = 3*l + 3*o. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 - 22. Calculate the remainder when (6\/(-18))\/(2\/i) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + -53. What is the units digit of o + 398 + 84\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*v - 9*v + 65*v**2 + 15*v - 66*v**2 - 4 as l*v + o*v**2 + x and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -827*h*r**2*y**2 - 259*h*r**2 - 25*h*r*y**2 + 4*h*r + 39*h*y**2 + 1008*h*y - 40*r**2*y + r*y**2 - r wrt r?\nAnswer: -1654*h*y**2 - 518*h - 80*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54264, -217045, -488346, -868167, -1356508, -1953369, -2658750?\nAnswer: -3472651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**5\/60 + 3*m**4\/4 - 167*m**3\/6 - 60*m**2. Let p be d(7). Solve -p = y - 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65824 divided by 374?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from lyllxyjnnnyynyxyyb?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15474 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 - -0.2. Let u = 3.88 - 7.88. What is the closest to g in -0.5, -0.3, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150 + -164 - (-9)\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, t: 5, h: 1}. Give prob of sequence nhtt.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15874958?\nAnswer: 2, 11, 65599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*i = 2*d + 4, -10 = -5*i - d. Suppose 0 = 2*s - 4*k + 1448, s = -i*k + 95 - 831. Round s to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1055 is divided by 331.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*y = 6, 4*y - 6 = -14. Solve 10*c + 4 - 14 = a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p**2 + 6*p + 10. What is h(4)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - 9*a + 1134*a**3 - 5*a - a.\nAnswer: 1134*a**3 - 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 21*d - 12. What is the remainder when u(-19) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 5*r**2 - 6*r. Let l be u(6). Which is the nearest to 6.2? (a) l (b) -1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (0 - (-1 + 1)). Let t(l) = -l**2. Let x be t(w). Suppose x*u = -2*u - 3*d + 421, -u - 4*d = -218. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287, 946, 1985, 3356, 5011?\nAnswer: 6902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 713036264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 5)*(-11 - 3*z + 9*z - 5*z)*(z**2 - 2 + 2).\nAnswer: 3*z**3 - 33*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1591334827.\nAnswer: 17, 1277, 73303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 8:27 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 1322?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 257*t**2 - 259*t. Give k(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25781 divided by 49190?\nAnswer: 25781\/49190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/8)*b*b**(2\/5)*b*b**(1\/2)\/b**(1\/12))\/(b\/((b\/b**10*b)\/b)*b**(1\/10))**(-1\/4) assuming b is positive.\nAnswer: b**(82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -87*s**2 + 5. Let i(v) = 35*v**2 - 2. Let f(n) = -5*i(n) - 2*x(n). Let g(c) = 3645*c**2. Calculate g(f(o)).\nAnswer: 3645*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 1) + (1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 5 - 4 + 2 + 4 + (-9 + 2 - 10)*(3 - 4 + 3) + 2 - 5 + 4)*(2*d - 2*d + 2*d) as f + k*d and give k.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 791 + 787 - 5*k + 2*k + 3*k**2. Determine m(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*s - 237 + 42 = 0, 3*s - 3 = 0. Suppose -86*k + 1096 = -2430. Solve -d*b + k*b = 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 264\/36*(-1728)\/(-528).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i + 5*y - 349 = -41*i, 4*i - 2*y = 474. What is the remainder when 244 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5122 - 4840. What is the smallest common multiple of 64 and s?\nAnswer: 9024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3070*m - 18 = -q - 3068*m, -2*m - 42 = -4*q - 0*m for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 19638?\nAnswer: 98190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -280.62 - -44.42. Round a to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 12:32 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**3 - v**2 + 75*v - 2. Let o be c(8). Which is smaller: -5014\/5 or o?\nAnswer: -5014\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/297 and 85\/189.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 13.7. Sort -0.5, l, -1\/6.\nAnswer: -0.5, -1\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*k - 2, 2*u + k - 3 = 10. Suppose 1992 = 3*l + 6*s - 3*s, 5*l - u*s - 3300 = 0. Let w = l + -472. List the prime factors of w.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven halves of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 y when four letters picked without replacement from cycbbbyybbyyy?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -1\/5 (b) 11940 (c) 21 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 3:38 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1418 (base 15) in base 16?\nAnswer: -10ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from faayfffafffaafyffff.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 63*z**2 - 698*z + 697. Determine w(1).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + 3*v - 5. Let l be p(-3). Suppose -4*z + 607 = l*i + 139, 3*z + i - 355 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 4:50 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 919553.\nAnswer: -11\/919553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 58*s - 56*s - 2 = 0, 5 = q - 3*s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n - 32 + 3 + 12*n.\nAnswer: -2*n - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 22*w - 160. Give r(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/15))\/(t\/(t\/(t**(15\/4)\/t)))*t\/t**(-7\/4)*t**17 assuming t is positive.\nAnswer: t**(268\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 12:41 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 327 and 25288.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 20 = 0, -5*g - 106 = w - 86. Let h be ((-3)\/(-2))\/((-2)\/(-4)). Suppose w*k = h*k - 5541. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*(sqrt(190) + -4*sqrt(190)*2))\/(-1*sqrt(80)\/sqrt(72)).\nAnswer: -63*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265, -484, -691, -880, -1045, -1180, -1279?\nAnswer: -1336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -10*o**2 - 125*o + 69. Let j be p(-13). Solve 801*s + j*k + 30 = 796*s, 5*s + k = -15 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25.5032 litres?\nAnswer: 25503.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 12 = -2*m, 5*t + 0*m + 2*m = -20. Calculate the remainder when (1\/t)\/(12\/(-600)) is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8559, -8562, -8563, -8562, -8559, -8554?\n\"Answer: g**2 - 6*g - 8554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 3835717 = -4*o + 235883. Round o to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 23. Suppose s - 2 = 2*v. Suppose 0*q = 3*r + v*q - 113, 0 = 5*q + 5. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 3)*(3*u**3 - 6*u**3 + 4*u**3 + (3*u - 3*u - 2*u**2)*(-2*u + u - 2*u) + 6*u**3 + 2*u - 2*u) to x*u**2 + a + g*u + s*u**3 and give s.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1056404\/17 - 62422. Which is smaller: -282 or y?\nAnswer: -282","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 24 - 45. Let c = -29 - v. Calculate the highest common factor of c and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123103593?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oobobubuoooobubobb. Give prob of sequence uub.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*1 + 0 + sqrt(304))**2*-2.\nAnswer: -2432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 139*c**2 - 181*c + 420. Determine y(2).\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19811 + 31494. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-6 - ((-4 - (8 + -8)) + -9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**3 + 2*j**2 + j. Let m = 9 - 5. Suppose -5 + m = c. Calculate x(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -16) + (-13 - 9) + -26 + -1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzzmh. Give prob of picking 1 m and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -21*v**2 - 274*v - 546. Calculate f(-2).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 179261825*a**2 + 1606740005485615*a - 1606740184747445.\nAnswer: 5*(a - 1)*(a + 17926183)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -174*y**2 - 2103. Let w(n) = 5*n. Calculate w(f(j)).\nAnswer: -1740*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3027, 3029, 3033, 3039, 3047?\nAnswer: 3057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -26.2, -78, -61, 7?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10635906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 - 576\/(-840). What is the smallest value in 36, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 245099\/(-90) - 1\/(-3). Let c = o - -13578\/5. Find the common denominator of (2\/(-132))\/(19\/(-2109)) and c.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 287 + 82?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 2*t - 51 + 65, m - 4*t = 28 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/1)\/((-2)\/(-4))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**2 + 5*p**2 - 1 + 4*p**2 + 8*p**2 - 17*p**2 to a + s*p + t*p**2 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 20) + -2 - (1044 + -1019)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/3*(-12)\/(-2). Let a(k) = k**2 - 2*k - 9. Is 20 a factor of a(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -13*c - 8. What is b(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5*q - 13, -r + 4*q = -8 - 4. What is the remainder when 41 is divided by (((-33)\/(-12))\/1)\/(1\/r)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 18815*k - 946560.\nAnswer: -5*(k + 51)*(k + 3712)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6761.\nAnswer: 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 253*z**8\/56 - z**7\/14 + 1157*z**4\/12 + 15*z + 7. What is the third derivative of x(o) wrt o?\nAnswer: 30360*o**3 - 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3077 and 610513?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 151461\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44525 and 13015?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58338143 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, z: 6}. Give prob of sequence jjz.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-28 - -65 - 57)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/126 and 163\/198?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 0 + 1\/420*f**6 + 2*f**2 + 2\/7*f**3 + 0*f + 1\/35*f**5 + 11\/84*f**4. Factor u(z).\nAnswer: 2*(z + 1)*(z + 2)*(z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22323937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -16815.\nAnswer: -2\/16815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4327 is divided by 76.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2*1\/(-8) + 105\/(-60)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 3 = 3*r. Is 1 + 5 - (2 - r) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5658.\nAnswer: 2, 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3 = 3*w. Let l(t) = -t**3 - 2*t**2 + 2*t. Let i(d) be the second derivative of -d**5\/20 - d**4\/12 + d**3\/6 - 782*d. What is w*l(a) - 6*i(a)?\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*k**4 + 4 - 65*k + 32*k**4 - 5 + k**3 to c*k**4 + h*k + n*k**2 + j*k**3 + t and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -52*q + 21. Is n(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 6*(-6)\/18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w**2 - 4*w**2 + 2*w**3)*(0 + 1 + 0)*(-52 - 52 + 12957*w + 229 - 125) to v*w**2 + n*w**3 + r*w**4 + f + i*w and give r.\nAnswer: 25914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*z**2 + 0 - 1\/2*z.\nAnswer: z*(z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3038 and -15.\nAnswer: 45570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1013*g**2 + 640*g**2 + 717*g**2 + (4*g + 2*g - 5*g)*(3 - g - 3) + 1 - 1 - g**2.\nAnswer: 2368*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2*a\/(a*a**(-1\/21)))**(2\/7)\/((a*a**(2\/5))**(1\/17)\/(a\/(a**(-4)\/a)*a\/a**(-6))) assuming a is positive.\nAnswer: a**(168716\/12495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-158)\/(-790))\/((-8)\/(-10))*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16e136 (base 16) to base 6.\nAnswer: -52045514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/1*(-1)\/(-2). Let w(r) = -2*r - 15. Let v be w(-10). Let b = v - 1. Solve -o + 10 = -d*j, -5*o + b = -o + j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 37.52747958 from -0.1861.\nAnswer: -37.71357958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 72*a**3 - 48*a**2. Let j(d) = d**3 - 2*d**2. Determine 48*j(z) - 2*r(z).\nAnswer: -96*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2451814.83 + 2467413. Let m = -15600.1700048 + s. Let f = -2 - m. Round f to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i - 3*i + 4*i)*(i - 2*i**2 - i) + 0*i**2 + 2*i**3 - 2*i**2 - 6*i**3 to a*i**2 + k*i**3 + y*i + c and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 - 4*n**2 + n + 4. Let r be t(-2). Suppose -1 = -r*b - 5. Let i be (-1)\/b + 11599998\/4. Round i to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/39592392 and -163\/64764.\nAnswer: 118777176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 20, -6\/7, -2\/17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -163 + -53. Let z be r\/52 + (7 + -3)*1. Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/48*5*((-40)\/100)\/2*5\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2345985 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 3*c**2 + c. Suppose a = 3*g - 35, 3 + 16 = 2*g - 5*a. Suppose 0 = j - 5*o + 41, 2*j + 39 = -4*o - 1. Let n be (-3)\/g + j\/(-8). What is v(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q - 3. Let p(k) = -k + 1. Calculate 2*i(r) + 7*p(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115048)\/(-239552) + 3\/(-8)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + d - 1 - 2*d)*(-18*d + 17*d**3 + 18*d) to w*d + r*d**2 + i*d**3 + b*d**4 + q and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 135.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 44118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -386 or -390?\nAnswer: -386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*a + 54*a - 27 = 3*w, -6*w + a = 19 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -22. Let i = x - 17.3. Which is the second smallest value? (a) -2 (b) i (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3892, -3820, -3702, -3538, -3328?\n\"Answer: 23*x**2 + 3*x - 3918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + -20?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**2*s**4 + 4*d**2*s**2 + d**2*s - 7*d**2 + 970*d*s**6 wrt s?\nAnswer: -24*d**2*s + 116400*d*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-162)\/270)\/((9\/(-24)*-12)\/(-33)).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert a33 (base 15) to base 7.\nAnswer: 6462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 5*y - 4*k - 6, 3*y + k + 5 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q**2 + 3*q + 9. Let r(y) = 25*y**2 - 13*y - 39. Let p(h) = -6*r(h) - 26*v(h). Let j(g) = -12*g. Give p(j(a)).\nAnswer: 864*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473000 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1\/9 (b) 1 (c) 0.4 (d) 1\/136\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 730207*i. Let p(x) = -15*x. Give p(z(n)).\nAnswer: -10953105*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1212302, -1212306, -1212314, -1212326, -1212342, -1212362, -1212386?\n\"Answer: -2*s**2 + 2*s - 1212302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 24)\/(2*55\/(-20)*72\/(-396)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7778*n - 377. List the prime factors of r(-1).\nAnswer: 3, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 6539.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7 (b) -49\/15 (c) -1 (d) -0.3 (e) 0 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6154*b**2*u**2 + 2*b**2*u - b**2 - 292 wrt u.\nAnswer: 12308*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1) - (5 + -5 + 3). Let n(s) = -s**2 + 4*s - 1. Let d be n(3). Let r be 52\/65*1\/(-2). What is the closest to r in c, d, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 100*q**3 + q**2 + 33*q**3.\nAnswer: 133*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -148*c + 1394. Determine k(-10).\nAnswer: 2874","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/12)*(g*(g*g**0\/g)\/g)\/g assuming g is positive.\nAnswer: g**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45740 and 7684320?\nAnswer: 7684320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19302, 19312, 19322, 19332, 19342?\n\"Answer: 10*u + 19292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/813 in -4099, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-87)\/(-116) + 194\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 112 - 48 - 54*n + 54 wrt n.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*u**3*y - u**3 - 76*u**2*y + 7465*u**2 + 3*y**2 with respect to y.\nAnswer: -13*u**3 - 76*u**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 921499170*g**4 + 268688558*g**2 wrt g.\nAnswer: 22115980080*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.20424 hours in nanoseconds?\nAnswer: 252735264000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-10)*(-80)\/12. Solve -2*n - n = -q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -964350790, -964350786, -964350780, -964350772?\nAnswer: -964350762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnznznnzozbnzbonoo. Give prob of picking 2 b.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2931 + 6477. Suppose -7*s = -f + 501. List the prime factors of s.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/15 and (0 + 148\/104)*2 + (1 - 5).\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -137744890 to the nearest 100000.\nAnswer: -137700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3 - 859*a**2 - 4881*a + 2 wrt a.\nAnswer: -12*a - 1718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2df9d (base 16) to base 14.\nAnswer: 4c8b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -504, -1917, -4124, -6999, -10416, -14249, -18372?\nAnswer: -22659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 228613*b**2 - 295538 wrt b.\nAnswer: 457226*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) + sqrt(70) + (sqrt(70) - 1*sqrt(70)))\/sqrt(7))\/(sqrt(8)\/(sqrt(24)\/sqrt(6))))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -167 - 0?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 31\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -25. Let g = 1.6 - -0.4. What is the smallest value in 4, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002102110 - -1021000?\nAnswer: -1001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-19075)\/(-735) - 10\/35. Let g be (-360)\/14 - (-6)\/(-21). Let i = g + k. What is the third biggest value in -1\/9, -5, i, 0.21?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 9. Suppose 2*u + j = 6*j - 101, u = -o*j - 44. Let v = u - -50. Solve 0 = x - 3*k + 11, -26 = 4*x - v*k - k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 0 (c) 22\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316, 111, -94, -299, -504?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -20 (b) 1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 57*i - 745. Calculate the remainder when k(17) is divided by 99.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1440)*1*-5)\/(5*-3*(sqrt(968) + (sqrt(968) - -4*sqrt(968)) + sqrt(968))).\nAnswer: 6*sqrt(5)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, u: 1, v: 6}. What is prob of sequence ve?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3779 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is b0037d (base 14) in base 4?\nAnswer: 112210201123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285*x + 763*x - 805*x.\nAnswer: 243*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12\/205 - 567\/820. Suppose 0 = d + 4 + 1. Let v = d - -7. Which is the third smallest value? (a) x (b) v (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -20\/1669?\nAnswer: -20\/1669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -106180, -106181, -106182, -106183, -106184?\n\"Answer: -n - 106179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - n**3)*(-2 - 2 + 2) - 13 + 13 + 5*n**3 + 2*n**3 - 3*n**3 + 3*n**3 to the form r*n + z*n**3 + f + p*n**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-6))\/((-955)\/(-11460)*8\/(-10))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o**3 + 5*o**2 + 2*o + 4. Let h(p) = 9*p**3 - 10*p**2 - 4*p - 9. Calculate -3*h(w) - 7*v(w).\nAnswer: w**3 - 5*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -99784\/3 and 1\/61 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20241 (base 5) to base 15\nAnswer: -5d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 466151094 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uiu when three letters picked without replacement from unkisscssusnssi?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 7*t - 5. Let q be w(-8). Let m = 0.03 + -0.29. Let j = m + 0.31. What is the second biggest value in 2, j, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.961022m?\nAnswer: 2961.022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 982651.5 litres to millilitres.\nAnswer: 982651500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-431 - -427) + (-11 - (-9 + 3)) + -1 + 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-35)\/2*(-20)\/(-25). Let v = k + 28. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/89 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -10. Let i = t + -12. Suppose 2*j + g = 2*g - 4, 16 = 4*g. Solve j = 3*x - 2*x - i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177380837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 8*z**2 - 19*z + 14. Let m be x(-10). Suppose l - 3*l + 32 = -m*i, -78 = -4*l + i. What is the remainder when 56 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**4\/12 - 72*c**2 - 3*c. Let p be n(0). Let v = p + 50. Round v to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03295 + 0.032960696. What is p rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36.2 + -7.2. Let q = d - 29.4. Which is the biggest value? (a) 0.1 (b) q (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1041 + 1122.91. Let p = 0.91 - y. Let b = -80.9999939 - p. What is b rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by -2?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.0352, -0.1199 in descending order.\nAnswer: 0.0352, -0.1199, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.6411058 months to years.\nAnswer: 0.22009215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 12*y**2 - 20*y - 6. Determine m(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11048349 to 5 dps.\nAnswer: 0.11048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3527.099g in micrograms?\nAnswer: 3527099000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 12. Suppose -1 = m - 5. Suppose 29 = m*a - u - 63, -a - 2*u = -32. What is the highest common factor of a and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.164 + -0.364. Which is the fourth biggest value? (a) 0 (b) f (c) -0.156 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 + 4.96. Let j = k + -3. Let n be (4 - 4)\/(-1*1). Which is the third smallest value? (a) j (b) n (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - z = 20. Let u(j) = j**2 + 2 + 3*j - 2 + z - 3. Let k be u(-4). Put 3, k, 2 in descending order.\nAnswer: k, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003276502 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b - 247?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -2 - -6)*28\/20. Solve 3*o = l*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -0.1, 1\/6, 1\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9158084 and 754.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 43*u**3 + 3*u - 3. Let b be t(2). Let q = b + -182. Suppose -c - q = -6*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 + -69. Let x(d) = s*d**2 + 2*d + 3 - 20*d**2 + 6*d**2 + 10*d**2. Let l(k) = k**2 + 4*k + 7. What is 3*l(f) - 7*x(f)?\nAnswer: -4*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-170)\/(-5712) + 6\/63\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1057, -2124, -3195, -4270, -5349, -6432?\n\"Answer: -2*s**2 - 1061*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455430 is divided by 276?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 259, 516, 773?\n\"Answer: 257*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -36, 152332, -5, 0 in decreasing order.\nAnswer: 152332, 3, 0, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -48. Is i greater than or equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155220 divided by 1287\nAnswer: -3980\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -11\/739?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*w + 430*w = 9*k - 10*k + 20, -112*k = 5*w - 916 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 337 and 9?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 - 13*r + 13. Determine b(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6758, 6661, 6564, 6467, 6370, 6273?\n\"Answer: -97*i + 6855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 229891?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4 - 5*w**2 - 4. Let d(h) = 2*h - 2*h + 5*h**2 - 4*h**2. Give d(g(b)).\nAnswer: 25*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u + 5. Let s be f(-4). Let y be 2\/(-7) + 33\/s. Let l be (40\/75)\/((-22)\/(-33)). What is the smallest value in l, -0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 20 + 66 = w, 0 = 3*w - b - 283. Let j(l) = -2*l**3 + 21*l**2 - 7*l - 12. Let q be j(9). Calculate the greatest common factor of w and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3175?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = -3*d + 12, 5*i = d + 16. Suppose 0 = 2*a - 3*a - n - 31, 0 = 2*a + i*n + 56. Let w = 105 + a. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 541983\/35 - 15487. Let i = -80 - -548\/7. Let z = i - y. Is -1 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 21. Let h be a + (0 - 0) - (-1 - -115). Let n = -114 - h. Solve 4*t - 3*c = -8*c - 41, 4*t - n*c - 4 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30\/7*q + 0 - 297\/7*q**2.\nAnswer: -3*q*(99*q - 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -694365*f**4 + f**3 - 17672*f**2 - 2*f - 1?\nAnswer: -16664760*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 525837, 1051676, 1577515?\n\"Answer: 525839*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 10 - (7 + -13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 55. Let u be (11 - (-5 - -8)) + -5 + r. Suppose -b = -3*d + u, -b = 2*d - 3*b - 2. Solve x - 8 = -3*h, d*h + 3*h - 5 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.3 (c) 5\/2 (d) 1.902\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(69*x - 69*x - 24*x**2) to the form r*x**2 + h + t*x and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 11, f: 9}. Give prob of sequence oof.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 - -1. Suppose 4*k = -8, -q - k + 2 + 24 = 0. Suppose -4*t - q = -12. Which is the biggest value? (a) m (b) -1\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-14) - 170\/(-2380)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303467*k - 600540*k + 297074*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 155, -120, 1, -2 in increasing order.\nAnswer: -120, -2, 1, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkg when three letters picked without replacement from {g: 9, k: 11}.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5001 - -5806. Calculate the greatest common factor of g and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 12 = 8*k. Suppose n = 2*q + 6, k*q - 3*n = 2*n - 12. Calculate the common denominator of 1 + 58\/(-36) + q + -2 and -71\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/6 - 19814728*m\/3 - 196311722856992\/3.\nAnswer: -(m + 19814728)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f + 23*f - 16 = -3*v, -5*v - 5*f + 20 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3502 (base 14) in base 4?\nAnswer: 2033332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 67*s + 2484. Give c(-26).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 3*p**6\/20 + 5*p**4\/24 + 5*p**3\/6 - 7*p**2. What is the second derivative of k(c) wrt c?\nAnswer: 108*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lglologooo. Give prob of picking 3 l and 1 g.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -997 - -1904. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*a**2 + a**2 + 4*a**2 + 33 + 7*a**2 - 33 + (3 - 3 + 2*a)*(4 - 4 + a) - 3*a**2 - 2*a**2 + 7*a**2 - a**2 + 1 - 1.\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - -10. Solve -5*m - j = 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from {a: 1, c: 1, t: 5, v: 1, r: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -392 divided by -180\nAnswer: 98\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 8:37 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176236051.\nAnswer: 23, 857, 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 12, -2*v - 3*v - f - 3 = 0. Suppose q + v = 15. What is the greatest common factor of 45 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110202201 + -1111112121?\nAnswer: -1222022022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (5 + (6 - (-4 - -18)))) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 1308 = 303. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 16*t + 16. Let h be u(12). Let y be (h - -7)*(-2)\/5. Suppose -3758 = 40*c - 7358. Calculate the highest common divisor of y and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1044*y - 237 + 217 + 1105*y as j*y + h and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**2\/2 + 15*c\/2 - 13 = 0.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8c (base 14) to base 2.\nAnswer: -1111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 292*g - 1380. Is l(34) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 f, and 1 p when three letters picked without replacement from zpppfpxn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, y: 2}. What is prob of sequence yyi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28*(-4)\/(-16)*1. Let j(k) = -3*k**2 + 21*k. Give j(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 7. Let w = -39411\/49270 + -1\/9854. Which is the nearest to 2\/3? (a) x (b) -0.7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -15 - 80\/(120\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -417 from 21354013623.\nAnswer: 21354014040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 20 = 3*s, -y = -4*s - 73 + 74. Suppose -3*q = 4*f - 24, -2*q + 3*f = 3 - 2. Calculate the lowest common multiple of s and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -13. Which is the third smallest value? (a) -1 (b) f (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*115\/900 + ((-46)\/9 - -5). Which is smaller: -503 or m?\nAnswer: -503","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*r + 46 = 0, -3*c + 59 = -r + 18. Suppose 5 = -c*o - 31. Let b = -7 + 2. Put 3, b, o in increasing order.\nAnswer: b, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*w - 50, -5*q = 4*w - 2*w - 43. Let i = w - 1. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -498, -996, -1494?\nAnswer: -1992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*l - 2*v, 3*l - 4*v + 1 - 39 = 0. Let z(b) = b**3 - 14*b**2 + 35*b + 63. Let y be z(l). Solve y - 9 = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1520*d - 12100 - 941 + 881 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 + 170816*r**2 - 683267*r\/2 + 170817.\nAnswer: (r - 1)**2*(r + 341634)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/(q\/((q*q**(2\/19)*q*q*q)\/q)*q)*q*q)\/q))**17)**(2\/17) assuming q is positive.\nAnswer: q**(-80\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 211 + -57. Suppose 0*q = -2*q + w. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(171) + 4 + -4 + (sqrt(171) - (-3*sqrt(171) + sqrt(171))))**2*3.\nAnswer: 144*sqrt(19) + 8220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, l: 5, i: 3}. Give prob of sequence tt.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -9*o. What is m(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5564 + 8981. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(6*x - 6*x - x + 1).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1225 - -1297.9. Let d = b - 79. Round d to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**6\/6 + 10*r**5 + 220*r**4\/3 + 8190*r. Find l, given that g(l) = 0.\nAnswer: -4, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 18835*x**2. Let n(d) = -d. Give l(n(g)).\nAnswer: 18835*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34505?\nAnswer: 5, 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 4*z + 22, -281*l + 280*l - 23 = -4*z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 240947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41222 + 212?\nAnswer: 41434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 5. What is the units digit of s(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 262 - 0?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 17*m**7\/1260 + m**4\/2 + 3*m**2. Let c(z) be the second derivative of n(z). Let x(i) = 2*i**2. Give c(x(s)).\nAnswer: 136*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + 3 + -7 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 + -62 - -5) + 65?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8413 is divided by 758.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 327449921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7088.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 6:13 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -19 - (16 + -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/((r*r**13)\/r)*r**5 assuming r is positive.\nAnswer: r**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 35 = -0*b. Let k = b + 12. Solve w = -k*o - 7, -10 = -0*o + 2*o - 2*w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*m + 163*m**2 + 12*m as r + z*m**2 + w*m and give z.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88289, 176587, 264885, 353183, 441481?\nAnswer: 529779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpprejdprjejdjpdejdj. Give prob of sequence pjj.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -27*g**2. Let l(a) = -22*a**2. Calculate b(l(o)).\nAnswer: -13068*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94.43*-0.263.\nAnswer: -24.83509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2515.098 - 2497. Round l to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)\/((h\/(h**(-1\/2)\/h*h*h))\/h*h))**(1\/67)\/(h\/h**(-2)*h**7)**(-30) assuming h is positive.\nAnswer: h**(40197\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g. Let p be 14\/(-3)*54\/(-21). Suppose 4*o + p = -2*o. Let y(q) = 5 - 5 + q. Calculate o*y(c) + s(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1152*a**3*z - 28*a**3 wrt z?\nAnswer: 1152*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -54\/25 in 298, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8*p**2 + p - 1. Let s be z(6). Suppose 0 = -37*i + 36*i + s. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 14946*u**2 + 846*u + 423. Let n(b) = 141*b**2 + 8*b + 4. Determine -4*c(i) + 423*n(i).\nAnswer: -141*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4696645*o*q**4 + 17*o*q**2 - 111118*q**2 wrt q.\nAnswer: 112719480*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103321 (base 4) in base 2?\nAnswer: 10011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.5 in -0.2, 5, 1\/3, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94092 + 15619201\/166. What is the common denominator of x and 20 + (-9960)\/500 + (-2718)\/(-400)?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17505681 (base 9) in base 7?\nAnswer: -134551165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/9 - -82\/45. Find the common denominator of -10\/11 and s.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14804 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77728902.\nAnswer: 2, 3, 12954817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 173 - 146. Suppose -17 = 8*l - x. What is the closest to l in -3, 4\/9, 11?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**3\/4 + 4941*a**2\/2 - 9921*a\/4 - 29655 = 0. Calculate a.\nAnswer: -3295, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2430*h - 2437*h + 7340*h - 2451*h.\nAnswer: 22*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14371 (base 10) to base 5.\nAnswer: 424441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (160\/672)\/(2\/(-24))*42\/(-89 + 5)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3 (b) -238 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyccyyyccycy. What is prob of picking 4 y?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**2 - g. List the prime factors of y(-3).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -171239, -171238, -171235, -171230, -171223, -171214?\n\"Answer: n**2 - 2*n - 171238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 526*z**3\/3 + 393*z**2\/2 + 243. What is the second derivative of b(f) wrt f?\nAnswer: 1052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - n**2 + n**2)*(-2*n - n + 5*n)*(-104*n**2 + 109*n**2 - 58*n**2).\nAnswer: -318*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1297, -2, 3, 9 in descending order.\nAnswer: 9, 3, -2, -4, -1297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjj when three letters picked without replacement from rjjjmjjrjmjm?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 4*d = 20. Solve -3*k + 19 = d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1026162213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - sqrt(44)\/sqrt(2))\/sqrt(2) - (sqrt(110)*-1)\/sqrt(10).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1256 + -784?\nAnswer: 7a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/660033 and -5\/60003.\nAnswer: 660033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmmmqhqqqmq. What is prob of sequence ql?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 18*c**2 - 16*c + 21. Let v be l(-17). Solve 3*m - 4*m + 4 = -3*a, 12 = -2*a - v*m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -640 divided by -6\nAnswer: 320\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 9 + -5 + -10.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -586 - -10547\/18. Put n, 0.1, 0, -0.4 in descending order.\nAnswer: 0.1, 0, n, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29786779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 55.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*w + 65 = -17, w + 78 = r. Let j = r + -35. What is the second derivative of -150*x**5 + 42*x + j*x**5 + 70*x**5 wrt x?\nAnswer: -760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(10)\/sqrt(5)) + sqrt(30) - (sqrt(240) - sqrt(240)*-1)\/sqrt(8))\/(3*(sqrt(150) + (sqrt(150)*2 + sqrt(150) - sqrt(150)))*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-9) - 20\/(-3). Let m be (-6 + c)\/(1\/3). Sort -2, 4, m in ascending order.\nAnswer: -2, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.386068 + -3.405. What is m rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y - 49. Let m be a(8). Let i be m\/(-3)*((-5)\/(-1) - -1). Solve 0 = -v - 3 + i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 21, -1\/3, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1527, 6415, 14565, 25977?\n\"Answer: 1631*p**2 - 5*p - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 208 divided by -52\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -356225, -712442, -1068647, -1424840, -1781021, -2137190?\n\"Answer: 6*t**2 - 356235*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02514 minus -0.5?\nAnswer: 0.52514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 4*p - 31 = -p, 26 = v - p for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 - -1.4. What is the nearest to 0 in 1, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 6*d - 30 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-62)\/(-186) - (-38)\/(-6). Suppose 0 = -4*n - n + 3*d - 15, -2*d = 0. Which is bigger: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -334943, -669889, -1004835?\nAnswer: -1339781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 a factor of 58704009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/16*0\/((-6)\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 + 866*c - 1 + 0 - 2*c**4 + 0 - 3*c**2 - 3*c**3 - 863*c as y*c**3 + v*c**4 + n*c**2 + x*c + u and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -2\/3, 0.5, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2355.04676 - -2355. Round s to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.71101kg in grams?\nAnswer: 76711.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 55 = f - 5*k, -2*k = 3*f - 38. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15965*w**3 + 32182*w**3 + 8037*w**3 + 33337*w**3.\nAnswer: 57591*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2096 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2502070?\nAnswer: 2, 5, 151, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 80299, 160152, 240005?\n\"Answer: 79853*l + 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-39)\/15 - (-6)\/10. List the prime factors of (78\/2 - d)*1.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2498756421 is divided by 3417?\nAnswer: 3414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1038209709?\nAnswer: 3, 1301, 266003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 - 45*s + 21. Let p be i(-14). Suppose 0 = -2*q + p + 1095. List the prime factors of q.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**5\/60 + g**4\/6 + 7*g**3\/6 - 12*g**2. Let b be x(-4). Let h(i) = -i**3 + 8*i**2 + 8*i - 16. Is h(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 10 = 7*o. Let q = 1.4 - 2. Let b = 5.6 + q. What is the second biggest value in o, b, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1818884 = -p + 2*z, 124*p - 3*z - 3637824 = 126*p. Round p to the nearest 10000.\nAnswer: -1820000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -2b05124?\nAnswer: 2b05124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -654 and 0.24.\nAnswer: -653.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 220168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 19 - r + 14)*(-1 - 3 + 1).\nAnswer: 3*r - 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1652\/1568 - (-60)\/(-42)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52015.874 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4350\/(-10150) - (-178)\/350.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 281*m - 4009*m - 1978 - 829 - 4071*m - 3612 wrt m.\nAnswer: -7799","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (sqrt(162) - (sqrt(162) + 1 + sqrt(162)))).\nAnswer: 30 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*r - 66 = 149*r - 83*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b**2 - 2*b**2 + 4*b**2 - 3*b**3 in the form d*b**2 + r*b**3 + v*b + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -2, -5, -12, -23, -38?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 - 56. Let z be q\/(-16) + 2721\/12. What is the second derivative of -z*f + 195*f - 19*f**5 - 11*f**5 wrt f?\nAnswer: -600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5 - 60*n**4 - 600*n**3 - 2000*n**2 = 0. What is n?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1810*u**2 + 40 - 40 - u + 3*u - 1318*u**2 as f*u + m + y*u**2 and give y.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**3*r - 934667*b**2*r**2 + 16*b*r**2 - 2*b - 1809*r - 1 wrt b?\nAnswer: 18*b*r - 1869334*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 5, -53667, 4 in increasing order.\nAnswer: -53667, -34, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/5)\/(2\/(-10)). Let z = 133 + -131.25. Let c = z - 3.75. What is the nearest to 1\/4 in c, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 - 58. Let n(j) = j**p - 9 - 2*j**2 + 3 + 3*j + 6. Calculate n(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**4 - 6415*i**2 + 1285*i wrt i.\nAnswer: -36*i**2 - 12830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -j + 95 - 100, -w - 3*j = -170*w - 519 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70501?\nAnswer: 70501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i**2. Let u(o) = -3*o + 4 - 4. What is q(u(m))?\nAnswer: -54*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -4 - (0 - -5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 146*m - 33917. Give h(233).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 803949?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2841c (base 15) to base 5\nAnswer: 13113202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aja when three letters picked without replacement from {h: 1, j: 6, a: 10}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -12*i + 9*i**2 - 4*i**3 + 14 + 2*i + 5*i**3. Let p be d(-10). What is the highest common factor of 21 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**5\/20 - 17*n**4\/12 + 17*n**3\/6 - 9*n**2 + 2*n - 21. What is b(16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1920)\/(-12))\/8)\/(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4057 in 2\/3, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -z + 9. Suppose -18 = -n - 2*o, z*n + 3*o + 40 = 144. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -20 + 122, 2*v - 130*n + 1145 = -6079 + 600 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 1\/18 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -a - 23. Let y be (-3 - -1)\/(4\/(-10)). Put y, 11, a in decreasing order.\nAnswer: 11, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, n: 2}. What is prob of sequence nt?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 740077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*z - 148 + 118*z - 62*z)*(2*z - 8 + 8) + (0*z + 3*z - z)*(z - z + 2*z) + 2*z**2 - 2*z**2 + z**2.\nAnswer: 11*z**2 - 296*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - m - 166. Let d = 35 + m. Calculate the remainder when 22 is divided by 3\/2*d\/(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73130 by 10.\nAnswer: 7313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, h: 2, i: 1, c: 3, l: 6, v: 3}. Give prob of sequence vvt.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 1163*n + 3*n**2 - 1164*n.\nAnswer: 5*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6626801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.10409, 0, -3 in ascending order.\nAnswer: -3, -0.4, 0, 0.10409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.05 - 0.05. Suppose -o + 3*o + 2 = 0. Let g = 0.5 + -5.5. Which is the nearest to i? (a) g (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -208*x**2 + 5*x + 2 + 2*x**4 - 3*x - 9*x**3 + 209*x**2 - 4 as r*x**4 + u + l*x**2 + j*x**3 + y*x and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.041 * 873936\nAnswer: -35831.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2057 + 2061. Let p(y) = -2*y**3 + 5*y**2 + 6*y - 10. What is p(o)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37584 and 9558.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.856166 rounded to 3 decimal places?\nAnswer: -0.856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 133243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - t - 2. Let c(z) = 1. Let f(h) = -c(h) - k(h). Let x(g) = -5*g**2 - 4. Suppose 8 = -4*i + 16. Calculate i*f(n) + x(n).\nAnswer: -3*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from ssdsdsssdsddssssss.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3008, 1541, 74?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 3*h + 5. Let r be w(-4). Let z(y) = y**2 + 1. Let i(t) = 5*t**2 - t + 5. Let j(a) = -2*i(a) + 9*z(a). Determine j(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 151 + 64. Suppose -w - 4*d - 5 + y = 0, 2*w = -5*d + 88. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -21*g**2 + 98. Let z(q) = -q + 1. Let i = 101 - 102. Let u(c) = i*x(c) - z(c). Differentiate u(m) with respect to m.\nAnswer: 42*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (72\/63)\/((-3)\/(-42)). Let z = 61 + b. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.4, -223?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -19\/1544829?\nAnswer: -19\/1544829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 627 and 10593.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5893603997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddm when four letters picked without replacement from fdmumudmdu?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/5 - 21\/(2310\/88). Let x(k) = 2*k**2 + k - 7. Determine x(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*b**4 + 11867*b - 34426.\nAnswer: -20*b**3 + 11867","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 708426?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56602 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-6 + (-9 - 4 - -21))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 18*t - 1. Sort -40, t, 5, -7 in ascending order.\nAnswer: -40, -7, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 568 = 112. Let c = x + -108. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -2409?\nAnswer: -2411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5565202 is divided by 348?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 11*h + 13. Determine y(12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8596\/73901 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 13*i - 9 + (3*i - 5*i - 2*i)*(1 - 5 + 2).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v - 2*v + v. Let o(f) = -1. Let a(c) = c**3 + 3*c**2 + c. Let h be a(-2). Let r(q) = -q**2 - 2. Let t(u) = h*r(u) - 4*o(u). What is t(l(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/32 and (-9 - (-512)\/56) + 235\/364?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-189)*-7*1*3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 267, 8, 5, -3, -80, 3, 142 in ascending order.\nAnswer: -80, -3, 3, 5, 8, 142, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 4:46 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006201 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 + 572?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -441.1*-3.\nAnswer: 1323.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 600.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -177 + 177. Suppose -5*p - 352 + 417 = h. What is the remainder when 51 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q + 217*q**2 + 0*q + 5 - 214*q**2. Suppose 5*x - x - 28 = 0. What is the units digit of f(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**2 + 0*f**2 + 0*f**2 + (-1 + 1 + 1)*(-2 + 2 + 2*f**2) + 1 + f**2 - 1 + f**2 - f**2 + f**2 + (f - 2 + 2)*(f + 3*f - 2*f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 5:23 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -290, -560, -796, -974, -1070, -1060, -920, -626?\n\"Answer: 4*m**3 - 7*m**2 - 277*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q - 2*q)*(11 + 15 - 16).\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, 3, 0 in decreasing order.\nAnswer: 4, 3, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2388611 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 + -0.41471476\nAnswer: -0.47471476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -229432.28800074 - -229421.288. Let w = 11 + i. What is w rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1098218?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 9*s**2 + 8*s + 3. Let v be z(8). Let b be 85 - v\/(9\/3). Suppose 5*a + b = 2*f - 50, 0 = 5*f - 2*a - 377. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + o**3 + 0 + (-54 - 6*o + 54)*(o**2 + 3*o**2 - 3*o**2) to the form c*o**3 + u*o**2 + h + k*o and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -901 - -902. Let x(f) = -f**2 + 5*f. Let n be x(4). Put -5, l, -4, n in descending order.\nAnswer: n, l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, g: 1, w: 1, t: 5, n: 5, u: 2}. Give prob of picking 2 u and 1 p.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5417954 and 15426.\nAnswer: 48761586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*r - 18. Let s(a) = a**2 + 6*a - 4. Let m be s(r). Let p be ((-21)\/(-126))\/((-18)\/(-162)). Which is bigger: p or m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 31*k = -2*j - 17116, 5*j - 17137 = -2*k. Suppose 7*q - k - 2485 = 0. What are the prime factors of q?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -718, -1441, -2162, -2881?\n\"Answer: v**2 - 726*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**2 - 40*o - 9. Let r be u(-13). Suppose -4*h - 4 = r*c, -c + 55 - 48 = 3*h. What is the smallest value in -0.14, 0, -2\/13, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(351\/6)*3. Suppose 2\/13*g**2 + 0 - 2\/13*g**3 + o*g - 2\/13*g**4 = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 268774601 to the nearest 1000000.\nAnswer: 269000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -460\/481 equal to 220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 158, 242?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 5:11 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = -9 + 93. Suppose 2*x + 2*x + 24 = 0. Let f = x + p. What is the least common multiple of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.7004701 * -0.1.\nAnswer: 0.57004701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3 - 3*a**2 + 12288*a + 12288 = 0. What is a?\nAnswer: -64, -1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i*l**3 - 2*i*l + 2407*i + 3*l with respect to l.\nAnswer: -3*i*l**2 - 2*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggjjvgvjggjggggc. Give prob of sequence vcg.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14738750 divided by 65\nAnswer: -226750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26 + 1914?\nAnswer: 1940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 198 + -427. Let r = 229 + f. Put -22, r, 4 in ascending order.\nAnswer: -22, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.044387 rounded to the nearest integer?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6231, 6235, 6241, 6249, 6259, 6271?\n\"Answer: l**2 + l + 6229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5805 = 6*t + 2583. What are the prime factors of 15\/(-6) - t\/4?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 4 + 6. Put 4, q, -1 in descending order.\nAnswer: 4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 12*n + 37. Let r be t(-9). Let a(i) = i**3 + 4*i**2 + i + 2. Let q be a(-3). What is the greatest common divisor of q and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -10.7. Which is smaller: 0.4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1382 divided by -53867.\nAnswer: 1382\/53867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/2)\/((-4)\/(-24)). Suppose -5*w - 2 = r*h - 38, -20 = -4*w + 2*h. Let q = w - -1. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 911700 rounded to the nearest 10000?\nAnswer: 910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27416444, -54832883, -82249324, -109665767, -137082212, -164498659?\nAnswer: -191915108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/8 + (-58)\/464\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 5 + 4)*(42 - 442*b**2 - 77 + 35).\nAnswer: 7956*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 - 2*w - 3. Let z be r(0). Let j = 3.8 + 0.2. What is the third biggest value in -3\/7, z, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/15 - (0 + 7))*(-2 - 1). Solve -5*d + 5*v + 40 = 0, -14*d = -9*d - 2*v - w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1443*o**4 - 1031*o wrt o.\nAnswer: -17316*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15343, -15344, -15345, -15346, -15347, -15348?\n\"Answer: -c - 15342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 663 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14864 + -12847. What is the remainder when q is divided by 202?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-5))\/(9\/90). Put y, 10, -1, 3 in descending order.\nAnswer: 10, y, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 + 524 - 101 = 21*j. Calculate the remainder when 1235 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -282377163+1.51\nAnswer: -282377161.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-16)*f)*f**(6\/7))\/(f**(2\/7)*f\/((f\/(f*f*f**0))\/f)))**4 assuming f is positive.\nAnswer: f**(380\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132045 (base 8) to base 9.\nAnswer: 70231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -12. Let x be ((-3)\/l)\/((-2)\/258). Suppose 2*i + 0*f - 118 = -2*f, 0 = i - 3*f - x. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22 (b) -424 (c) 10 (d) 1\/42 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213069739.\nAnswer: 12211, 17449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 16 = -30 + 18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 9:57 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((3 + -10)\/(-56))\/(6\/(-15)). Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 0*t + 3*t - 3*t. Let h(i) be the second derivative of -i**5\/60 - i**3\/6 - 2*i. Let g(a) be the second derivative of h(a). What is g(q(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.07 * 0.1.\nAnswer: 0.307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/((-7 + 3)\/(-4)). Let c = f + 12. List the prime factors of 5*(3 - 23)\/c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**2*t**6 + 165*g**2*t**3 - 97*g**2*t**2 wrt t?\nAnswer: 240*g**2*t**3 + 990*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 7*t - 10. Let b be i(4). Solve -4*j - 3*r = b*r - 8, -2*j - 22 = -4*r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 10*o**2 + 11*o + 17. Calculate z(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -10. Suppose -t + p = -8. Solve c = 3*q + t, 0 = q + c - 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 198?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r. Let z(y) = 4*y**2 - 20654153*y - 2. Determine z(f(p)).\nAnswer: 16*p**2 - 41308306*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22218.684 months in millennia?\nAnswer: 1.851557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 43340284.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4363654415 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 619672, 1239124, 1858576?\nAnswer: 2478028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2366\/385 + -5 - ((-24)\/(-5))\/8.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - n = -7768, -23*n = -2*a - 20*n + 15521. What is the thousands digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1320)\/(-10))\/(20 - (5 + 11))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by -2260348.\nAnswer: -55\/2260348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 251288072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3608, -3637, -3668, -3701, -3736, -3773, -3812?\n\"Answer: -i**2 - 26*i - 3581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 50.1 (b) -2 (c) 3\/13 (d) 1\/34 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 660780.\nAnswer: 4625460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1040 + 1040 + 38*b to the form q + y*b and give y.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-836)\/(-28842)*(-23)\/(-6). Suppose 4*t - 10 - 6 = 0. Solve -1\/9*g**t + 0 + 0*g**3 + y*g**2 + 0*g = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/307616991 and -79\/24.\nAnswer: 2460935928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-150104)\/5568)\/647)\/((-54)\/32)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 13*k**2 - 3*k - 6. Let p be j(-3). Let s = -6 - -21. What is the greatest common divisor of p and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146a (base 12) to base 2.\nAnswer: 100101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7924, -7926, -7928?\nAnswer: -7930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45612061 at most 45612065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2.93. Let c = y - 1.07. What is the closest to 6 in c, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16*(-1575)\/12*1. What is d rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -64a9a3a5 + -5?\nAnswer: -64a9a3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5958.279 kilograms to micrograms.\nAnswer: 5958279000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**2 - 76865*s = 0.\nAnswer: 0, 15373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*j + 4*r = -41*j - 11364, 2*j = 4*r + 5680. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34406721, 68813439, 103220157, 137626875, 172033593, 206440311?\n\"Answer: 34406718*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 732e (base 15) in base 8?\nAnswer: 57430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 808883*s**4 + 1302239?\nAnswer: 3235532*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21217, 21212, 21205, 21196, 21185, 21172?\n\"Answer: -h**2 - 2*h + 21220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7)\/o*o)**(-1)*(o**(-1))**18 assuming o is positive.\nAnswer: o**(-128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19\/(-21) - ((-3586)\/10269 - 2\/9). Suppose -5*h + 8 = -12. Which is the biggest value? (a) 0 (b) q (c) h (d) 2\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.379 and 471\/641 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 674 by 516514.\nAnswer: 337\/258257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10200122 (base 3) to base 14.\nAnswer: -da2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2087 times -283?\nAnswer: 590621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -1\/6*a**4 + 0 + 3*a**2 - 2\/3*a**3 - 3*a. Factor k(q).\nAnswer: -2*(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 7. Let o be f(12). What is the nearest to 0.1 in o, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20382396, -20382394, -20382392, -20382390, -20382388, -20382386?\nAnswer: -20382384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*j - 4. Suppose 0 = j*u - 0*u - 20. Calculate the greatest common factor of 45 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -38*g - 68. Is c(-11) a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 70 = 9*j. What is the least common multiple of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14843, -59362, -133571, -237470, -371059, -534338?\n\"Answer: -14845*i**2 + 16*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 7*q)*(2*q**3 + 3*q**3 - 3*q**3)*(-q - 3*q + 15*q).\nAnswer: 154*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.4, 119.14, -2\/7, -2 in descending order.\nAnswer: 119.14, 0.4, -2\/7, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -0.5, 779\/47, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3754, -13685, -30236, -53407?\n\"Answer: -3310*s**2 - s - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 376 and 1040392.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 663496296?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 1983.\nAnswer: -3\/661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6*f = 10. Let j = 2 - -8. Let a = j - f. Solve -2*k = -1 + a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 787510532?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5 - 2 - 1 + 2 - 2*a. Let t(o) = o**2 - 5*o + 5. Let r be t(5). Suppose 2*m = 1 + r. Determine f(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 w when three letters picked without replacement from {y: 1, o: 2, w: 4, h: 9, d: 1}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nny when three letters picked without replacement from ynypnny.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -66*q - 7. Let b(a) = -3*a + 1. Give 5*b(u) + x(u).\nAnswer: -81*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w + 2*b - 111 = 0, 3*b = 15. Suppose 147 = 5*c + 2*t, 0*c = 3*c - 2*t - w. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 9. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from gggbggqgqaggqgbgq.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 506837 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 57089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10796984?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-9)*10\/(-10)*1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 19*o**2 + 2*o - 33. What are the prime factors of z(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2 - 4864*v - 2 + 4858*v + 0. Let n(y) be the second derivative of y**3 - y. Determine q(n(s)).\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 145537.44 to the nearest 1000.\nAnswer: 146000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62057795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*d**2 + 2 - 175*d**2 + 86*d**2.\nAnswer: -d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-4*6\/20*1020\/(-816)*-5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/3 - (-2 + 0). Let x = -7 + 7. Suppose -i - i = x. Solve -l - 1 - s = i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**5\/8 + 18939*h**4\/4 - 58788081*h**3\/4 - 3133787457*h**2\/2 - 334011515835*h\/8 - 160796990025\/4 = 0. What is h?\nAnswer: -54, -49, -1, 6365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 12:28 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/((-1)\/60). Suppose -c + 15 = 3*x, -3*x + 4*c = -0*c - d. Let t be ((-4)\/3)\/(x\/(-9)). Calculate the highest common divisor of 5 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 225 + -2695\/12. Let f(n) be the first derivative of 1\/5*n**5 - 3\/16*n**4 - 1 + 3\/8*n**2 + 1\/4*n - l*n**3. Factor f(o).\nAnswer: (o - 1)**2*(o + 1)*(4*o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2603802 (base 10) to base 13.\nAnswer: 702216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(-1 - 3 + 5)*(53*m - 366 + 366 + (0*m - 4*m + 3*m)*(-2 + 5 - 2)).\nAnswer: 104*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 605074*l. Let d(q) = -30*q**2. Calculate d(p(b)).\nAnswer: -10983436364280*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*y, g + 2*y - 16 = -y. Let c be g - (6 - 0\/4). Solve -c*f - 4*v = -10 - 6, -5*f = 3*v - 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/1 + -5 + 6. Let h(x) = x**3 - 3*x**2 - x - 5. Let c be h(s). Let v(k) = 3*k**2 + 2*k + 2. Is v(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -2. Suppose v*k + k + 4 = 0. Let d = k + 1. Solve d = w + 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3780)\/3528*(0 + 1 - 14\/6).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 552\/(-14) - 72\/(-54)*(45\/140)\/1.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 102, 105, 108, 111, 114, 117?\n\"Answer: 3*y + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 3, -1, -0.16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 38 = 36*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 5:31 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/3 and 51\/791?\nAnswer: 2373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1362941440 divided by -10247680\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 530\/(-56)*7\/(-35). Let y = f - 8\/7. Sort -0.3, y, 1, 2\/11 in ascending order.\nAnswer: -0.3, 2\/11, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 13*c + 11. Let i(a) = -23*a - 18. Let s(z) = -4*i(z) - 7*r(z). Suppose -t - j = 3*t - 28, 3*j = 12. Let m = 4 + t. Calculate s(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 22*i. Let q be u(-22). Suppose 5*r = 5*a + r - 23, a - 5*r - 13 = q. Suppose 0 = a*y + 4 - 22. Solve -2*c + g = -y, -4*c + 4 = -c + g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37894199.\nAnswer: 7, 193, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 539128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5666*p**2 - 5642*p**2 - 5684*p**2 - 3 + 3 + 17013*p**2.\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -103*j**2 - 13917*j - 1799. What is n(-135)?\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/(-253)*94\/141)\/(1\/44)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -247, -2\/101, -0.2 in descending order.\nAnswer: -2\/101, -0.2, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n - 8. Let o be l(6). Let i be 4\/o - 70\/(-8). Let s(b) = b**3 + 5*b**2 + 3*b - 1. Let t be s(-3). Solve t*g = -4*a + 4*g, -i = -4*a + 5*g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = 6. Let m(a) = a**3 - 3*a**2 - 3*a - 4. Let z be m(y). What is the units digit of (-1 + 0)\/(z + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-72) + 11\/(-3). Let b be -91 + (-12)\/p + -5 + 2. Let u = b - -1185\/13. Sort -2, u, 2, -3 in increasing order.\nAnswer: -3, -2, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 5:39 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, 2, -6, 8, 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 109250733587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 391 + -116. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*g + 15 - 1 = 0, -t + g = -4. Suppose 8 + 22 = -5*s - 5*r, -t*s - 28 = 5*r. What are the prime factors of s - (0\/(-2) + -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001001 - -10011101001?\nAnswer: 11010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1028, 986, 962, 962, 992, 1058, 1166?\n\"Answer: l**3 + 3*l**2 - 58*l + 1082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-1 - (1 + -1)). Let x be (-6*(b - 2))\/2. Solve i - 2*h = x, h = -4*i + 5*h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1120826 is divided by 1658.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 963.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - z**2 - z**2)*(-5 + 2 + 5 + 171*z**2)*(-4*z + 4*z + z).\nAnswer: -171*z**5 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -8*m - 1\/4*m**4 - 2*m**3 + 12 + 0*m**2. Calculate u(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.51 + -0.11. Let t = -1.4 + v. Sort 0.5, -4\/5, t in increasing order.\nAnswer: -4\/5, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*k**2*z - 2*k**2 + 15*k*z + 2 wrt z?\nAnswer: 8*k**2 + 15*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 32 = 4*y, -3*o + 27 = -2*y - y. Suppose -3*f + 141 = -3*b, o*f - 5*f + 45 = b. What is the tens digit of (111\/2)\/(23\/f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**3*t**4 + 233*r**3*t**2 - 320*r**3*t - 3*r**2*t + r*t**2 wrt t.\nAnswer: -12*r**3*t**2 + 466*r**3 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -54251\/3825?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1961627, -1961050, -1960473, -1959896, -1959319?\nAnswer: -1958742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1750432.5 months?\nAnswer: 14586.9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 999269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 78167?\nAnswer: 78166.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-290)\/(-2) + -1*(6 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02 (b) 0.08 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21078\/103 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + s**2 + 3*s - 3. Let h be u(3). Let z be (h\/18)\/(2\/(-48)). Suppose -70 = -5*n + 2*t, -n + z + 5 = t. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -856897 - -563628. Let j = y - -293262.39931. Let o = j - -6.6. Round o to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -5, -30, -75, -146, -249, -390, -575?\nAnswer: -810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 11077 + 7253. Let f be 1*4\/14*7. Suppose -h = f*h - k. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 554\/197 + -2446641\/1576. Let a = -1546 - l. Calculate the common denominator of a and 1 + 4\/1 - 6\/48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + ((-1136)\/(-280) - 3))\/((-2)\/20)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1468*j**2 - 1483*j**2 - 17*j**5 - 14*j**5 wrt j.\nAnswer: -1860*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y - 3*y**4 - y**4 - y**3 + 2*y**4 - y**2 as x*y + f + o*y**4 + q*y**3 + s*y**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + 24 + -8 + (-15 - -9).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 7, a: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2817*x**2 + 1879.\nAnswer: 5634*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120 - 114. Calculate the remainder when d is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8224257 weeks to milliseconds.\nAnswer: 497403063.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 51019, 203226, 456617, 811192, 1266951, 1823894?\n\"Answer: 50592*l**2 + 431*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 + 6*j**2 + j - 3. Suppose -4*k = 2*r + k + 4, r = 5*k - 2. Let l be x(r). Calculate the greatest common divisor of 10 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-3 - (-66)\/3). Suppose 20 = 3*z - s. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y + 176. Let x be n(0). Suppose 263 = 4*t + u, 0 = -4*t + 4*u + 92 + x. What is the highest common divisor of 99 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*a + 62 + 102*a - 51*a.\nAnswer: -a + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*o - 1035 = 0, 4*o = -108*k + 105*k + 1038. What is the remainder when k is divided by 338?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/6 of a week in hours?\nAnswer: 2380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11521.6 + 11522. Let f be (-334)\/110 - (2 + -3). Let m = f - -18\/11. Which is the fourth biggest value? (a) 5\/3 (b) w (c) m (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115 + 459\/4. Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2, 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1139*l - 5*l**2 - 1146*l - 4*l**2 - 3 + 5*l**2 to n*l + j*l**2 + p and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.7 != -1752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(468) - (sqrt(468)*-4 + sqrt(468))) + 2)**2.\nAnswer: -288*sqrt(13) + 67396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 23 - 13. Suppose 0 = a*c + 3*c. Solve c = -w - 3*w + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one halves of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*k = -477*k + 566296. Calculate the remainder when k is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -78944706165626 and -0.05.\nAnswer: -78944706165626.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1036672101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(132) + sqrt(132))\/sqrt(12) + 2)*-3.\nAnswer: -6 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 divided by -40.\nAnswer: -31\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -2\/11, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u - 4*u**3 - 5*u**3 + 3077 - 3075 to the form r*u**2 + b + o*u**3 + z*u and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*m + 9*m + 9, 2*t + m + 3 = 0. Which is smaller: t or 2\/2195?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 6*p - 87. Let i(h) = -h**2 + 2*h - 30. Let f(x) = -4*i(x) + w(x). What is f(4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45*m - 45*m - 25 - 34*m**4 wrt m.\nAnswer: -136*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 60 = k + 4*w, 5*w - 55 = 2*k. Let d be (-2858)\/(-4)*k\/16. Let f = d + 1803. Calculate the common denominator of 29\/5 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 4:41 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 218 = -194. Solve 0 = q + j, 5*i + 0*i = 3*q + 34 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 j when three letters picked without replacement from jozzejezjeizzoo.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from {g: 1, z: 2, d: 6, p: 4, b: 3, r: 2}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3, -127\/23, 35, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -5*s**2 - 12*s - 6795. Let d be (-9)\/(-3)*-1*1. Is v(d) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5526 is divided by 1804?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 18 = -4*d, -25*w - 24 = -28*w + 2*d for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1\/5 (c) 0.037\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/3 (b) 2 (c) -2\/35 (d) -2\/5 (e) 0.5 (f) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1139280439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2489.918 centimeters to millimeters.\nAnswer: 24899.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/25)\/((-30)\/(-99900)*-18).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 493 + -498. Let d(k) = -k**2 - 5*k - 1. What is d(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.3 + -7. Let k = 31706.8 + -31707. Let j = 2.04 + -0.04. Sort j, t, k in descending order.\nAnswer: j, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 4. Is q(15) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 14*k**2. Let f(c) = 157*c - 49*c - 45*c - 54*c. Calculate f(j(z)).\nAnswer: 126*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 7\/((-21)\/(-15)). Suppose 4*z - 4207 = -3*h + 692, x*h = z + 8188. What are the prime factors of h?\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -2, 5.7, -0.1 in increasing order.\nAnswer: -2, -3\/2, -0.1, 5.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 6) to base 8.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 41138 and 1912840.\nAnswer: 1953978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0861986954 to three decimal places.\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 15. Suppose 8 = 2*x + z, -3*x - f*z + 23 = 2*x. Let p = -192\/5 - -38. Which is the nearest to 1? (a) 0.2 (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3110 + 3114. Let c = -35 + 67\/2. What is the closest to 3 in c, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13, 19, 29, 43?\n\"Answer: 2*f**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-5\/6))*t*t\/t**(2\/35))**(-1)*t**(3\/2)*t**(-2)*t**3\/t**(-6) assuming t is positive.\nAnswer: t**(776\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 43*l - 245. Give a(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6 + 0*c + 6 + 4 + 2*c - c**3. What are the prime factors of i(-4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwtmwmoomtoomwnm. Give prob of picking 1 n and 1 m.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2348 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6)\/(4\/(-12))*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-232)\/(-12)*1)\/((-98)\/441).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 + 287 - 97 - 94 + t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 22*q**2 - 3. Let v(s) = 219337 + 3*s - 4*s - 219336. What is x(v(h))?\nAnswer: 22*h**2 - 44*h + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w. Let c(r) = -24*r + 24*r + r**2. Calculate c(f(g)).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d - 319 + 4607 = 0. Calculate the greatest common factor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.1345 and 0.1?\nAnswer: 0.91345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2)\/u)**(6\/11)*(u\/(u*u**(-15)*u))\/u**18 assuming u is positive.\nAnswer: u**(-53\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -896, 4, -2, 85 in descending order.\nAnswer: 85, 4, 2, -2, -896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -590199, -590197, -590197, -590199, -590203, -590209?\n\"Answer: -w**2 + 5*w - 590203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -684 less than -11?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, -37, -72, -123, -196, -297?\n\"Answer: -f**3 + f**2 - 21*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48350122 and 1692.\nAnswer: 870302196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**2 + 4*o**2 + 2*o**2)*(o**3 - o**2 + o**2) + 3*o**5 - 2*o**2 + 2*o**2 + (-29*o - 2*o - 29*o)*(0*o**4 + 3*o**4 - 4*o**4).\nAnswer: 64*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7059 = -2540*c + 32391 + 10145 + 18985 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 6:45 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggzl when four letters picked without replacement from glvzv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(5\/2) + -10. Let o = -9 - y. Solve o*h + 0 = 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 30 + 12*s + 18*s)*(-2 + 4 - 3).\nAnswer: -30*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000016587 to 7 decimal places.\nAnswer: 0.0000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -58, -119, -180, -241, -302, -363?\n\"Answer: -61*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6252 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 275*z**2 + 5910*z - 2931*z - 2976*z to the form l + w*z**2 + k*z and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 11. Let g(r) = -r**3 + 4*r**2 - 2*r - 2. Let l be g(b). Solve -l*h + 2 = -4*u - 6, 4*h = -2*u - 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 594 + -1129\/2. Let n(h) = 82*h**2 - 5*h - 13. Let b be n(6). Let y = b - 69763\/24. What is the common denominator of v and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -451 (b) -1\/2 (c) 0.1 (d) -3.3 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 12:17 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7467?\nAnswer: 3, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -0*d. Suppose -i + 1 = 5. Let q be 10\/4*i\/(-5). Solve q*c = -d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - v**2 + 1. Let w be 2 + -2 + -2 + 0. Let p be f(w). Let u = p + -3. Solve o = -o + u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 26 = -2*w, 136*x + 6 = 2*w + 132*x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -1)*(-1 - -1). Suppose c = -4*p + 3*s + 39, 3*p - 22 = 2*s + 8. What is the remainder when 47 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690608570 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from {n: 4, o: 2, h: 1, g: 9, b: 1}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sttt when four letters picked without replacement from {s: 2, t: 6, f: 9}.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2, 2\/19, 1\/4, -6, -2\/825, -1.8?\nAnswer: -2\/825","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 7*k - 6. Let z be r(-5). Suppose -5 = -z*c + 7. Suppose -28 = -4*n - c*n. Solve 15 = n*x - x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(187))\/sqrt(11) + 5)*-5 + (-2*sqrt(425) + 0 - (1 + sqrt(425) + sqrt(425) + sqrt(425) + 0 + sqrt(425) - sqrt(425))))**2.\nAnswer: 1560*sqrt(17) + 15976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**3 - 15*q**2 - 15*q + 42. Let m be y(4). Put m, -11, 6 in descending order.\nAnswer: 6, m, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3711 is divided by 1\/(24\/532)*6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2392 + 16294. What are the prime factors of b?\nAnswer: 2, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69578295.\nAnswer: 3, 5, 4638553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - v. Suppose -6*n - 21 - 3 = 0. Let q(i) = 5*i**2 + 6*i + 1. Let c(h) = n*d(h) - q(h). Let y = -4 - -2. Give c(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30013, -30562, -31111?\n\"Answer: -549*w - 29464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 + 825*n - 804*n.\nAnswer: 21*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 6*m + 7. Let h = 2 + 4. Is q(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 4. Let w(s) = 5*s - 15. Let x(b) = -11*r(b) - 2*w(b). What is x(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-369)\/(-363) + 2\/(-2). Is a < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12624131887396 + -0.1?\nAnswer: 12624131887395.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 85.53 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1647.802 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -587262?\nAnswer: -587262.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0589 take away 0.475555052?\nAnswer: -0.534455052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u. Let f be h(0). Suppose f*r - 54 = -2*r. Calculate the greatest common factor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/113 + 123\/565. Let q(j) = -j**3 - 3*j**2 + 1. Let o be q(-3). Let d be o\/(2\/6 - 0). Which is the closest to -1? (a) d (b) 0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(540) - -1*sqrt(540)))\/(sqrt(36)\/sqrt(3)*4).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41de3a (base 16) to base 2.\nAnswer: -10000011101111000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/6)\/((-1)\/10). Suppose 0 = -h*a - 3 + 193. Suppose 2*x + 32 = 5*d - 263, 3*x + 15 = 0. Calculate the highest common factor of a and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(45) - sqrt(405) - (sqrt(500) + sqrt(500)*-2)) + -2*(3 + sqrt(20)\/sqrt(4) - sqrt(5)))**2.\nAnswer: -48*sqrt(5) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60838544?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1932803kg in milligrams?\nAnswer: 193280.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5 + 17. Suppose -l - 4 - 4 = 2*s, -5*l = 2*s. Find the third derivative of -10*a**2 - 11*a**b + l*a**6 + 17*a**2 wrt a.\nAnswer: -1080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13079.35 - -11819.933. Let j = o - -1260. Let p = j + -0.63. What is p rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from yelyeaeaeeeaelyeyya.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b - 3, 5*b = 3*d - 2752. Suppose 598 - d = -r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151 - -146 - ((-3 - 1) + (-85 - -20)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**4\/12 + z**3 - z**2 + 4*z. Let b(i) = 3*i**2 + 13*i - 5. Let s = -1 + 6. Let p(x) = s*j(x) - 2*b(x). What is p(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((30\/(-225))\/((-3)\/(-9)))\/((-72)\/(-105)).\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 39124 + 0.31\nAnswer: 39124.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 4*g - 14, -4*g - 53*m + 10 = -55*m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (0 - -7)) + -2 - 5*26\/(-65)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5872, 3, 1, 93, 2 in decreasing order.\nAnswer: 5872, 93, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 11 = g, 24 = 4*g - 3*j - 1. Suppose g*q + 3*f - 20 = -2*f, 0 = -3*q - 5*f + 10. Let w(u) = -u**3 + 10*u**2 - u + 12. Determine w(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8842331nm in kilometers?\nAnswer: 0.0000000000008842331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q - 2. Let o(u) = -15*u + 4. Let n(z) = 2*b(z) + o(z). Let r(k) = -15 + k**2 - 2*k**2 + 0*k**2. Determine n(r(t)).\nAnswer: t**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 + 101101110?\nAnswer: 110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o\/(o*o\/(o\/o**(10\/11)))*o))*o**5*(o**(-27\/4)*o)\/o**(8\/5) assuming o is positive.\nAnswer: o**(-497\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/105356 and -9\/10.\nAnswer: 526780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-101)\/2828)\/((-12)\/(-14)))\/((-2)\/1)?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(-6) + -2)*0. Suppose -31 = -35*n + 74. Solve -20 = -n*q - 2*f, -12 = -q - v*f - 2*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1884501 - 1884533 = -5*c - 3*h, 11*c - 24 = 5*h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -7a8?\nAnswer: 7a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 - -71. Solve 5*t + 20 = -x + h*x, x - 5*t = 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -1079*c**3 + 6*c**2 - 2323*c - 3. Let j(l) = 1082*l**3 - 4*l**2 + 2323*l + 2. Let r(g) = -3*j(g) - 2*w(g). Find the second derivative of r(b) wrt b.\nAnswer: -6528*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4258\/5 - -789. Let v = g - -62. Is v at least as big as 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116255355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -85.17387 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2 = -3*b - 2*q, 2*q + 10 = 0. Let c be (-45)\/(-250)*(-8)\/b. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-14)*(9\/(-3))\/12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 298662 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from eezeegezgezefzziie.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 4. Suppose -n*c - 5*j = -j - 155, -2*c - 2*j + 106 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**2\/2 + 5*m - 2. Suppose g + 7 - 17 = 3*r, 5*g + 2*r - 16 = 0. Let n be t(g). What is the third biggest value in 4, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, -5, 3, -3, -11 in decreasing order.\nAnswer: 110, 3, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160.4 - 160. Let r = 0.3 - 1.3. Let b = -1 + r. What is the second biggest value in -5\/2, b, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 - 54*l - 36 - 134*l in the form r*l + w and give r.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2960037\/8 + 369264. Let h = 742 + z. Let a = 1720\/3 + -1105\/2. What is the common denominator of a and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(450)\/sqrt(10).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1326 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(-48))\/(104\/(-103) - -1) and 59\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201975907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2\/37)*l)\/l)\/l**(5\/3)*l**(-34)\/l*l\/((l**(-24)\/l)\/l) assuming l is positive.\nAnswer: l**(-956\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 210.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l + 3. Let a be d(3). Let o(g) = -1027*g + 506*g - 12 + 505*g - g**2. Let b be o(a). Solve b*c - m + 9 = -0*m, -5*m = -c - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.9289 - -0.0711. Which is the third biggest value? (a) 2.7 (b) -4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 37.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**2 + 5*x**2 + 0*x**2 + (2*x - 5 + 5)*(x + 0 + 0) + 4*x**2 - 5*x**2 + 0*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (4 - 258\/36)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6196590?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -290668 times -10\nAnswer: 2906680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/11 + 26420*j\/11 - 184891\/11.\nAnswer: -(j - 26413)*(j - 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 6*g + 38. Suppose -4*w = -w - 24. Put g, -3, w in descending order.\nAnswer: w, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -35*g. Solve g = 8*c + 17*c + 50 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w + 5. Suppose -w*n = -5*d + 15, 2*d - n = 3*n + 12. Factor 2\/3*l**4 - 2\/3*l**2 + d + 0*l**3 + 0*l.\nAnswer: 2*l**2*(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11841294*a**5*b - 2*a**3*b - 4*a*b - a - 2524327 wrt a.\nAnswer: 236825880*a**3*b - 12*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125072 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -511.8577 rounded to 1 decimal place?\nAnswer: -511.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 + 89. What are the prime factors of w?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1989193 + 1711*x + 1989193)*(2*x - 4*x + 1 + 2) to w + y*x**2 + v*x and give v.\nAnswer: 5133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 581809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**5 + 1490*i**4 + 41145*i**3 + 250900*i**2 - 631220*i + 337680 = 0 for i.\nAnswer: -268, -18, -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 494.9707 from 61.6.\nAnswer: -433.3707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 18825678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 139\/3, 0.5, 2\/11, -5 in increasing order.\nAnswer: -5, -3, 2\/11, 0.5, 139\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1019 + -446. Round f to the nearest 10.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.27328 times -30.46\nAnswer: 8.3241088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 5, 229, -14, -1, -4 in decreasing order.\nAnswer: 229, 10, 5, -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 5. Let j(i) = 1. Let w(u) = -4*u + 30. Let x(p) = -3*j(p) + w(p). Let t be x(19). Let y(l) = -21*l + 49. Calculate t*f(z) - 5*y(z).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 - 8) + 12 + -4.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 44 - 54*t + 21.\nAnswer: -54*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04989129 rounded to 3 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z + 1. Let o(s) = -2*s. Let k(i) = i. Let t(v) = 3*k(v) + 2*o(v). Give b(t(p)).\nAnswer: 4*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -3*u**2 + 0*u - 40 - 16\/15*u**5 + 11\/6*u**3 - 5\/24*u**4. Find the second derivative of r(j) wrt j.\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 2*y = 3*h - 9, 0 = -3*h - 4*y + 15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.114 + -0.114. What is the nearest to i in -0.1, 11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00070446478 to seven dps.\nAnswer: -0.0007045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 11*f**2 + f - 13. Let b be y(11). Put b, 3, 0 in increasing order.\nAnswer: b, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/7, -49, 0.0534, -1?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59.9 - -60. Are -0.16 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(49)\/sqrt(7))**2*-2*6*-4.\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19474098896*g - 1 + 0 + 1 + 19474098893*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.42492 - 0.42502. Let q = -5 + t. Round q to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**2\/13 + 289184*p\/13 - 10453423232\/13 = 0.\nAnswer: 72296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + -1 - 0) + 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -13*m**3 + 8*m**3 - 6*m**3 - 1 - 2*m - m**2. Determine h(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19076 (b) 0.12 (c) 2\/3 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -29571997*p**3 + 11999*p + 11999. Let j(l) = 7393*l**3 - 3*l - 3. Determine -11999*j(i) - 3*r(i).\nAnswer: 7384*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**3\/2 - 5544753*n**2\/2 - 11089527*n\/2 + 16634277\/2 = 0.\nAnswer: -3, 1, 1848253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 4. Let a be j(6). Let i = -2 + a. Sort 1\/7, 5, i in increasing order.\nAnswer: i, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 1099623.\nAnswer: 10996230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zztffoitiiitff. Give prob of sequence iiot.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n - 1287*n**3 + 2567*n**3 - 1 - 1325*n**3 as d + y*n**3 + h*n**2 + k*n and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -7 + -10 - (37 + -55)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1574829?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3.3 (b) 2 (c) 0.2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/((-7)\/((-56)\/3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -14.1. Let p = l - -49.9. Let u = p + -51.054. What is u rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-4 - (2 + -2 + -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 404 - 403. Let o be (88\/(-528))\/(g\/(-12)). Suppose 0 = -2*x - 2*x. Solve x = -6*t + o*t + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - x = -0*c, -2*c = -5*x - 12. Let y = 5 - c. Solve 0 = 5*a + 4*h - 8, -2*h + y = a - 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2976416, -5952833, -8929250?\nAnswer: -11905667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/9*(13\/(-78))\/((-10)\/18)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 1201, 1\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 92 (c) -16\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/2)*c*c)**(-3\/50)\/(c**(-2\/7)\/(c*c**(2\/7))))**(-1\/36) assuming c is positive.\nAnswer: c**(-199\/5040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 3*m - 11 = 0, -2*g - 2*m = 3*m - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12\/27*(-12)\/40*187\/(16830\/7020)\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 11:46 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 4*s**2 + 10*s + 27. Let t be u(10). Suppose t = 4*i - 729. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*m - 4*b + 18, -m + 15 = 5*b. Suppose l + 5*o - 201 - 130 = m, o = 4*l - 1219. Suppose -t + 10 = 2*u - 153, -4*u + 2*t = -l. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2264888, 16 in ascending order.\nAnswer: -2264888, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45a62 (base 11) to base 15.\nAnswer: 14a82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = 10. Suppose -2*t + 2*s = 1 + 1, -4*s = z*t - 4. Suppose -q + 3*h + 895 = 0, 0 = -t*h + 2*h + 4. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - -124. Suppose -3 = -y*c + 90*c. Let b be (16\/c + -2)\/(-2). Solve -3*d + 0*d = b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25967 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 462.428 millennia in centuries?\nAnswer: 4624.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**3 - 2*k**2 - 91*k - 285. Determine s(-3).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 1479268?\nAnswer: 16271948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9722 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2776898 is divided by 583?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 298166215 and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -54. Let t be (0 - -1) + -3 + 16. Let p = t - 2. Calculate the remainder when q is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 2*b - 4*b)*(-4 + 4 - 2)*(16 - 35 - 29).\nAnswer: -864*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6021738 divided by 1003623\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 3:43 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*q**3 - 3 - 50*q**3 - 57*q**3 to d*q + v*q**3 + j*q**2 + y and give v.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1097 is divided by 893?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 29*h**3 + 17*h. Let u(z) = z**3 - z - 2*z - 6*z**3. Let r = 5873 - 5907. Determine r*u(c) - 6*x(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k - 44 = 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4546 (b) 1\/7 (c) 1\/6 (d) 0 (e) -1 (f) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.8 - 2.22. Let p = 0.3 + c. Let m = p + 0.119741. Round m to five dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*r + 338 - 262 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -20515 (c) 6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 1107, -2 in decreasing order.\nAnswer: 1107, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2*y - 1)*(-1 + 3 + 0) + 0*y - 3*y + y - 31 - 83*y + 31)*(25*y**2 + 9*y**2 - 7*y**2).\nAnswer: -2187*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, -805.4, -27?\nAnswer: -805.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*w + 5 - 532*w - 5 + 178*w + 179*w.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -0.1, -6.2, -4.\nAnswer: -6.2, -4, -2\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*s - 51*s + 33. What is the closest to 0 in -1\/4, 6, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**3 + 5*i**2 + 2*i. Does 15 divide v(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + g + 23 = 0, 2*g = r + g - 5. Let n = 18 - r. Differentiate -n + 4*x**3 + 6*x**2 - 6*x**2 with respect to x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304569057?\nAnswer: 3, 13, 7809463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1927)\/(-82) - 23) + -1 + (-17)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2125, -224, -2573, -4922, -7271, -9620?\n\"Answer: -2349*q + 4474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3415 - -3320. Let u = 8155272\/86009 + -5\/7819. Let z = o + u. What is the third biggest value in 4, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 1, -1049, -0.4, -6\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 20 = 3*b - 5*s, 5*b = -5*s + 30. Calculate the remainder when (-2)\/3*(-9)\/(-6) + 21 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -25, -2*p + 8 = 3*l + 2*p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 187.\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f + 52. Determine x(19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from ekkykekkeekkkkkekk.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 3*m + 27, -10*m + i + 63 = -46 + 118 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-7) + 32\/(-112))*-3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 3*z**2 - 56*z - 13. What is the remainder when o(-8) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/2 + 104*q + 5408 = 0. What is q?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, r: 1, t: 1, e: 2, s: 1, v: 1}. Give prob of picking 1 t, 1 k, and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -19.4. Let v = -19 + m. Let j = v - 0.2. Which is the nearest to 1? (a) 3\/7 (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3896239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2923 and 11.\nAnswer: 32153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*u**3 + 13*u**2 + 37*u wrt u.\nAnswer: 30*u + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 8*c**2 + 5*c - 2. Let p be f(-7). Suppose 4*z = 2*z + p. Suppose -z = -j - j. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7114 to 1 dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000 a factor of 693556139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41*y - 3*y - 2*y)*(-3 + 1 + 1)*(3 - 5 + 1) to f + p*y and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -9*v + 192. Let i be z(24). Let k be -4 + i\/(-30)*5. Solve -n + x + 3 = k, 0 = 8*n - 5*n + x - 17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybn when three letters picked without replacement from {b: 1, n: 1, y: 3, j: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 463 + -460.91. Let m = t - 0.09. Put 0, m, -4 in descending order.\nAnswer: m, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -1024*s. Let j(c) = -8*c. What is j(d(r))?\nAnswer: 8192*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 494 = 661. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**2 + 10*n**2 - n**2 - 3*n**2 + 26*n - 6*n**2 to y + z*n**2 + d*n and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -66\/25, 2.289, -2, 5, -2\/3?\nAnswer: 2.289","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38758*h**3*m + 48*h**3*y - 22272*h**2*m*y + 3*m*y + 71*m with respect to y.\nAnswer: 48*h**3 - 22272*h**2*m + 3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -13*m**2 - 539*m - 689. What is y(-40)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.1 (b) 1 (c) -0.2 (d) -19 (e) -3\/83 (f) 0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/5 + 36*s**2\/5 - 6*s - 68\/5.\nAnswer: -2*(s - 17)*(s - 2)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 2*m. Let n(r) = 11*r - 16*r + 6*r. Calculate 3*g(k) + 6*n(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 909*s - 12732. Give d(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1285576?\nAnswer: 2, 160697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.0856, 8\/13, 0.2, 0.5, -1, 5?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -509 - -525. What is the highest common divisor of 80 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 6 + 5 = -i, 0 = 4*i - h - 22 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 - 27*j. Let l(c) = 8*c**2 - 6. Let a(m) = 15*m**2 - 11. Let d(w) = -6*a(w) + 11*l(w). Calculate g(d(y)).\nAnswer: -8*y**4 + 54*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2435.6247823 - -2642.62477. Let r = 0.0515 - 207.0515. Let j = s + r. What is j rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11112164 divided by 51926\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 85 = -3*d + 5*n, n + 69 = 5*d. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**5\/20 + 5*h**4\/12 - 2*h**3\/3 + 2*h**2 + h. Let f = 23 + -20. Calculate the remainder when t(f) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 0.9 (c) 2\/9295 (d) 1\/9 (e) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = 2*j + 2*j. Suppose 0 = -15*h - 11*h + 8*h + 72. Put 2\/5, j, h in decreasing order.\nAnswer: h, 2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 2*p - 2*p - 1 + 1 + p + (2 - 6 + 2)*(p - 2 + 2) - 8 + 8 - 13*p)*(-2*p + 0*p + 3*p) as x*p**2 + w*p + r and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*s - 16. Solve 3*p - s*p + 15 = 0, 2*o - 2*p = 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2402 is divided by 109.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - 8*c. Let g(y) = y**3 - 9*y**2 - 32*y. What is -2*g(k) + 9*n(k)?\nAnswer: -2*k**3 - 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -202655\/19 at most -10667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 176287?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 148147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -7\/6 (c) -0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21212202 + 313302?\nAnswer: -20232300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-117)\/(-78))\/(6\/(-124)) - -4.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbjjbbjjbbbjb.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**5\/60 - l**4\/9 + 11*l**3\/18 - l**2 - l. Factor y(f).\nAnswer: -(f - 1)**2*(f + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 13*t - 5. Let q(n) = 64*n - 27. Give -11*h(b) + 2*q(b).\nAnswer: -15*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 612 = 11*z. Suppose -x + z - 49 = 0. Solve -2*a = -x*p + 12, p + p = -a - 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1532191*s**2. Let h(o) = o. Give w(h(l)).\nAnswer: 1532191*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5811\/65 + ((-2)\/5 - -1). Let n be -12*(-9)\/r*(-80)\/(-6). What is the highest common factor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-74)\/6 - 1\/(-3). Let i = 18 + g. Is 5 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40742402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(847) - (sqrt(847) + -1))*-5 - (3 + sqrt(847) + 0 + sqrt(847))) + -1*sqrt(847)*6*1 + -3)**2.\nAnswer: 1936*sqrt(7) + 54329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 517?\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4 - 18\/40*3130\/(-3130)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-786))\/(154\/154). Let q = 3 + -2. Do w and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 + -60.5. What is the nearest to -2 in 0, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**6\/120 - 11*z**5\/60 + 25*z**4\/24 + 3*z**3 + 68*z**2. Calculate the remainder when 177 is divided by a(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194048955.\nAnswer: 3, 5, 193, 22343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -13854, -11, -4, 2\/9?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*y + 4645 = 0, -25*c + 3*y = -29*c + 3681. Calculate the lowest common multiple of c and 420.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1700 by -34.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -643630 minus -51470?\nAnswer: -592160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -o + 5, 0*o = -l + 3*o + 6. What is the second derivative of 56*s**l - 3*s - 12 + 4*s + 77*s**3 + 65 wrt s?\nAnswer: 798*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 - 7*t + 12. Let q(n) = -6*n**2 + 22*n - 36. Let h(o) = -17*c(o) - 6*q(o). Let z be h(9). Let i = z - 44. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 divided by 127.\nAnswer: 62\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (-4 - -13 - (29 - 8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 + 0 + 22*o**3 + 2 - 2 + o**2 - o to y*o**2 + i*o**3 + l + d*o and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26 - -27)\/(2\/(-682)). Let w = g + 334. Are 9 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11717.5 to the nearest one hundred.\nAnswer: -11700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 46824537 divided by -4?\nAnswer: -46824537\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1297 or -906?\nAnswer: -906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624128 is divided by 485.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 62 = -5*g, -t + 788 - 1684 = 148*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**3 - 5*b**2 + 45*b + 45 = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61077*q = 61021*q - 2240 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3444*y**3 - y + 3443*y**3 - 2914 - 3268 to the form r + f*y + u*y**2 + w*y**3 and give r.\nAnswer: -6182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.54 - 1.59. Let d be 4\/(-5)*(-15)\/2. Let v be 4\/6 + d + -7. Is l at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((4504\/12)\/1)\/((-10)\/(-15)). Let j = -560 + m. Solve -2*q + 5 = j*q - 5*k, 0 = -q - 2*k + 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2 - t - 1. Let x be y(-1). Suppose -2*n + 0*n + 410 = -x*r, -2*n - 3*r = -442. What are the prime factors of n?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 601 divided by 2.\nAnswer: 601\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 6*m - m - 52, 2*m - 16 = x. Suppose 4*u = 2*y + 56 + 24, -3*u + 67 = 2*y. Let z = x + u. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-48) - 5\/(-20). Let s = -815 + 815.2. What is the second smallest value in s, -0.3, 2\/5, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -264, 2 in increasing order.\nAnswer: -264, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide ((-34)\/(-10) + -3)\/(6\/2520)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 24 = 2*k, -38*k + 3*a + 31 = -36*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 9*f - 26. Give w(8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 - 18.675.\nAnswer: -30.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8266.\nAnswer: 2, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z. Let a = 7 - 4. Let h(m) be the first derivative of m**2 + 4*m**2 + 2 + 1 - a*m**2. Calculate h(d(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + q + 5 = 0, 3*i - 17 + 2 = 3*q. Suppose 5*l - 29 = -4*n, i = 3*l - 3*n + 2*n - 31. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -9*c**2 + 3*c + 18*c**2 - 10*c**2 + 2 - 2*c. Let a be -5*-2*1\/(-5). Give v(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.4 - 3.3. Let z = 3.97 - 4. Which is the closest to r? (a) -2 (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 10:50 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-36))\/((154\/1092)\/11).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + k + 10*k)*(-16 + 6 - 36) to the form i*k + r and give i.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8*c - 9. Determine f(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54 - 10088\/(-194))*64\/(-28)*2\/(-8).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-221)\/91 + (-5)\/70?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11330 + -301330112?\nAnswer: -301312122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700)*2 + -1.\nAnswer: -1 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -1\/15*p**6 + 0*p**3 + 0*p**2 + 1\/28*p**7 + 0*p**4 + p + 1\/40*p**5 + 0. Factor a(z).\nAnswer: z**3*(z - 1)*(3*z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 13\/7, -4, 4, -3?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q**3 - 7*q**2 + 3*q + 7. Let h(o) = 22*o**3 + 22*o**2 - 8*o - 22. Let p(c) = 2*h(c) + 7*l(c). Determine u so that p(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5665953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 12103483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 454292 less than 454293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -119*p + 61. Determine h(3).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 169 + -2159. Let z be 1\/2*27796\/(-7). Let r = m - z. Find the common denominator of r and 97\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38908 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**3 + 2*h**2 - 2*h. Let u be x(1). Suppose u*b - 53 = -9. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 14, 0, -2 in descending order.\nAnswer: 14, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 3*o = 6. Let g be (-2)\/(-12)*(13 + o) - 3. Let q be (-37)\/(-148)*(-1)\/2. Sort -2, g, q.\nAnswer: -2, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 24. Let r = u + -36. Let s = -19.935 - r. Round s to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 691 and 202463?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {p: 1, o: 1, r: 2, t: 5, l: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 12:27 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -120*q - 143 - 944 - 713 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*(-3870)\/(-1075)*(-55)\/(-12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((156\/(-120))\/13*2*4)\/((-294)\/11760)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*b - 24*b + 10. Suppose 0 = -3*j + 5*y + 13, -2*j = -3*j - b*y - 9. Is -3\/362 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + -2 + sqrt(99) + 1 + ((sqrt(77) + (sqrt(77) - -1*sqrt(77))*3)\/(sqrt(7) - -4*(sqrt(28) + sqrt(7) - sqrt(7))))**2.\nAnswer: 458\/81 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g + 63*g = 57*g + 1408 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28701*v + 28701*v + 3*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 81146 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 74 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -117 - 3. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*(2 + sqrt(1088)*-1 - sqrt(1088)))**2 - -1*(sqrt(102)\/(-1*sqrt(3)))\/(sqrt(8)\/(sqrt(4)*2)).\nAnswer: -258*sqrt(17) + 17421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 44, 55, 66?\n\"Answer: 11*h + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 divided by -12?\nAnswer: -143\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28472 and 448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 508510 and 15424.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p - 23. Calculate v(15).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328060281.\nAnswer: 3, 179, 610913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -523833, -1047669, -1571505?\nAnswer: -2095341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13460458 is divided by 113?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 9 - 3. Suppose 5*p = 4*z, -2*z = p - 0*z. Suppose -k = 3*k - 16. Sort k, p, y.\nAnswer: p, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1614 - -1342.2. Let l = c + 345. Round l to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 41496 and -1767825.1.\nAnswer: -1726329.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 0*a**2 - 1\/40*a**5 - 1\/24*a**4 + 2*a + 0 + 0*a**3. Factor r(m).\nAnswer: -m**2*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12066 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1160, 0.2, -4, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((135\/(-12))\/(-9))\/(-1))\/(64\/(-512))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 11765.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -349\/6691 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 674 = -3*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 7*p + 76 = 5*p, 3*z + 3*p = 33. Let h(b) = 12*b**3 + z*b**3 - 2*b**2 - 25*b**3 + 100 + b**2. Is h(0) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3126 - -3130. Solve -5*v - 17*p = -18*p + 21, -32 = g*v + 3*p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-2))\/(2\/(-20)). Let r(f) = -f - 1. What is the remainder when (1*-1)\/((-1)\/13) is divided by r(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1042 and 111705822.\nAnswer: 111705822.1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 710 divide 326068920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 488.4385 tonnes?\nAnswer: 488438.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, s: 8, e: 6, y: 2}. Give prob of sequence yus.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*m + 12 = 0, 4*m + 24 = -2*u + 6*u. Let p be (-472)\/(-34) - u*14\/(-357). Solve 4 = -2*v + p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.001289 to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 14 - 56 = 0. Is -2 + 97 + (-2 - 7 - h) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 1371 - 1370.6. Which is the closest to 2? (a) 5 (b) 3\/7 (c) -4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -32.4, 0.2, -2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 408, 418, 442, 486, 556, 658?\nAnswer: 798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-25)\/(-30))\/((-1)\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*c + 2541 = 7057, 2*s = -3*c + 2280. Suppose -s = -65*q + 59*q. Calculate the greatest common factor of 28 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9318210?\nAnswer: 2, 3, 5, 11, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i - 3*i**2 - 5 + 7 + 11*i)*(-2 + 3 + 1) to w + q*i + c*i**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 + -119. Suppose -q*f + 30 + 42 = 0. Let h(s) = -s**3 + 5*s**2 + 5*s + 7. Calculate h(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1945*x + 2052*x = -9309 for x.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 453888918?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c + 2. Let n be x(-2). Suppose 0 = 4*k + n - 310. Calculate the highest common divisor of 38 and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -2775, -5, 8, -1 in decreasing order.\nAnswer: 24, 8, -1, -5, -2775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, v: 3, z: 2, m: 7}. Give prob of picking 1 z and 1 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**6\/720 - u**4\/3 + 12*u. Let k(s) be the third derivative of a(s). Let g(t) = 4*t. What is k(g(m))?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 108.152 - 108. Let c = -0.15200179 + y. Round c to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 1:43 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/4*(6\/(-8) - -1). Suppose 2*o - 8*o + 690 = n. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 1 - 6 = 0. Let m = 6 - y. Suppose -m*k + 48 = c + 13, k - 51 = -c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/5*(-1 + -1). Solve u = -u + a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3418*o**2 - 204*o**2 + 2 - 1361*o**2.\nAnswer: -4983*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16728 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17480 - 16927. Calculate the remainder when l is divided by 79.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 + (-38)\/4. Let q = 266 + -270. Let z(i) = 2*i**2 + 0*i**2 - i**2 - 2 - 2*i. Let o(c) = -2*c**2 + 5*c + 5. Calculate d*z(b) + q*o(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -5, -3*p - 6*b + 11 = -4*b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oouuuooououuo. Give prob of picking 2 o.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukkv when four letters picked without replacement from {k: 2, v: 4, p: 2, u: 1}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-48)*0)\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d + 30. Let l(b) be the first derivative of b**3\/3 - 2*b**2 + b - 25. Does 11 divide l(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24682 and 20468.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27, -81, -171, -297, -459, -657?\n\"Answer: -18*b**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 7:56 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1\/14 (c) 0.3 (d) -0.009\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - 12833?\nAnswer: -12827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -453\/11. Let q = -0.2999 - 0.0001. What is the closest to 1 in q, -0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 6*j - 78. Is y(-5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q - 5*q + 4*q)*(-25*q**2 - 32*q**2 + 43*q**2) + (q**2 - q**2 - 2*q**2)*(-38*q + 14*q + 12*q) to u*q + r + a*q**3 + m*q**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52744051?\nAnswer: 31, 607, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 228*y**2 + 2264*y**2 + 2 - 1 in the form m*y + x + r*y**2 and give r.\nAnswer: 2492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve -151*w = -439 - 1373 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1063*b + 1080. Determine y(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f**2 + 3*f. Let z(k) = -31*k**2 - 17*k. Let o be (-35)\/14*(-15)\/(75\/(-68)). Give o*i(p) - 6*z(p).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2511, 2530, 2583, 2682, 2839, 3066, 3375?\nAnswer: 3778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 298400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**3 - 3*i**3 + i**3)*(-2 + 5 - 4) + 174*i**2 - 409*i**2 + 88*i**3 + 234*i**2 to s*i**3 + c*i**2 + a + m*i and give s.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 253 + -159. Suppose -4*m - 73 = -5*h - 13, 2*h - 52 = -4*m. What is the remainder when u is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4\/7, 0.0567, 1\/4 in descending order.\nAnswer: 1\/4, 0.0567, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from ddaxdxxxxxxddadax.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 11 - (-4 - (-2)\/(-1)*1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) -10 (c) -2\/7 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/7 - 7272*y\/7 + 617354\/7.\nAnswer: -2*(y - 83)*(y + 3719)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 292*r**3 - 3045269*r**2 + 9143605*r - 31278 = 0.\nAnswer: 1\/292, 3, 10426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/12 and -83\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 66582.39ns in milliseconds?\nAnswer: 0.06658239","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -15*j**2 - 4*j + 6. Let w(v) = -41*v**2 - 10*v + 17. Let l(t) = -4*w(t) + 11*x(t). Give l(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (233\/2563)\/((-1)\/2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1538335 is divided by 4690?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s - 46 = -332 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epi when three letters picked without replacement from iepspepp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3213 (base 9) to base 4\nAnswer: 210321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 0 - (6 - 5). Suppose y*o - 80718 = -6*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**3 + 5*v - 5*v)*(v + 2*v - 4*v) + (-4*v - v**3 + 4*v)*(-6*v - 163 + 163) as q*v**2 + x*v + t + p*v**3 + b*v**4 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56*u**2 - 36*u - 11*u - 93*u + 4*u**3 - 160 - 8*u**3 - 36*u.\nAnswer: -4*(u + 2)**2*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37364 - 15217. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56262?\nAnswer: 2, 3, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*w - 2*w. Let u(x) = 5*x**2 + 0*x**2 + x + 3 - 4*x**2. What are the prime factors of u(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 32630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38.95 - 38.859902. Round v to three decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + 0 + 4 + 0 - (-334 + 418).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + -2 - sqrt(440)\/(sqrt(10) + sqrt(160)))*-4.\nAnswer: -112*sqrt(11)\/5 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2037.30803 + 1930.9855. Let d = 106.28 + g. Let f = d - -0.042. Round f to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*118 + (-8)\/(-4). Suppose -b + 2*u = 2*b - c, -790 = -5*b - 4*u. Suppose 4*v - 26 = b. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 8 = 4*h. Let z(c) = -4*c**2 + 15*c - 5. Let j(p) = -2*p**2 + 8*p - 3. Let k(o) = 7*j(o) - 4*z(o). What is the tens digit of k(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.008 + -9. Which is the biggest value? (a) -3 (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1542184 + 2.38.\nAnswer: 2.2257816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6161 - 511 = 0. What is the highest common divisor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12566, -12569, -12572, -12575, -12578?\n\"Answer: -3*c - 12563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 t, and 2 k when four letters picked without replacement from imttykykq?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 7*u**2 - 9*u - 49. Give x(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -349477 less than -4122?\nAnswer: 345355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-1)\/(-14) - 13\/28?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -78, -156, -346, -696, -1254, -2068, -3186?\n\"Answer: -8*s**3 - 8*s**2 + 2*s - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6 - 0. Let d = -66 - -69. Suppose -36 - 3 = -c - d*i, 2*c - u*i - 51 = 0. Solve 4*m = -2*p + c, -2*m + 2 = 3*p - 23 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5473 times 33.34?\nAnswer: 18.246982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 399 - 2795\/7. Let p = -54.104 - -0.104. Let b = 53.9 + p. Sort c, -3, b.\nAnswer: -3, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 445 - -1916?\nAnswer: 2361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 193350*y - 174626495.\nAnswer: 5*(y - 39553)*(y + 883)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x**5 + 7645*x**4 + 906575*x**3 - 1224945*x**2 - 300490*x + 611200 = 0. What is x?\nAnswer: -320, -191, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 189068293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -557 in descending order.\nAnswer: 1, -1, -557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375949 - 377799 = 74*q for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 4*f + 4*k + 18, 5*f - 4*k + 57 = 0. Sort f, 3, -4, -26 in increasing order.\nAnswer: -26, f, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -8*n**3 + n + 1. Let v be r(-1). Sort v, -0.5, -0.3 in descending order.\nAnswer: v, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7\/5 - -9\/10. Which is the closest to 0? (a) y (b) -1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 391922, 783848, 1175776, 1567706, 1959638, 2351572?\nAnswer: 2743508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1001213, -4, 3 in descending order.\nAnswer: 1001213, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.45 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90727\/10 - 9080. Calculate the common denominator of y and (2 - 0)*(6 - (-1953)\/(-280)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176, -3482, -7170, -10900, -14684, -18534?\nAnswer: -22462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2 = -5*d + 18, -6 = -3*c. Let f(q) = d*q + 10*q + 8*q. Let s(l) = -2*l**2. Calculate f(s(t)).\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 3*d**2 + 3*d + 3. Let a be r(4). Let s = a - -3. Let v(n) = s*n - 3*n + 0*n. Let z(c) = -2*c. Calculate z(v(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2175e (base 16) to base 4.\nAnswer: 201131132","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: 14 + (-21 + 4 + -2 - (-6164 - -6157))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 16*s - 13*s + 3, -5*x = -4*s - 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295940810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10131, -10132, -10133, -10134, -10135?\n\"Answer: -s - 10130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 5:27 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 125070 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 29*o. Let z(a) = -71*a**2 + 10*a**2 + 17*a**2 + 21*a**2 + a + 14*a**2. What is m(z(k))?\nAnswer: -261*k**2 + 29*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 5*p**3 + 0 + 9 + (5 - 2*p - 5)*(4*p**2 - 27 + 52 - 23).\nAnswer: -13*p**3 - 4*p + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6372042 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 11:38 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1134008 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/9 <= 161544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 695239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 78*a + 75*a - 154*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4143 is divided by 1381?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -178, -185, -196, -211?\n\"Answer: -2*c**2 - c - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -5*g + 113. Let d = g - 7. What is the least common multiple of d and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/18 - (7 + 340760\/72). What is d rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -3.6.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 12 = -4*p, -9*g = -5*g - 2*p + 18 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 4 + 0)*(5*o - 2*o - 2*o) + 1 - 2*o - 1 + 0*o + 2*o - 3*o - 3*o + 3*o - o)*(9 - 9 + 8*o)*(-2*o + 2*o - 2*o**2).\nAnswer: 80*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 44.7 and 832.\nAnswer: 876.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11824 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 4*s + s. Suppose 5*a - s = -4*o + 2*o, 3*o + 3*a - 63 = 0. Let d = o - 2. Calculate the smallest common multiple of d and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144 - -213. Let w be n\/(-63) - (-10)\/6. Put 0, 2, w, -6 in decreasing order.\nAnswer: 2, 0, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1541033 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a factor of 842697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2317 - -4896. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -634357729 - 4?\nAnswer: -634357733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15374 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 6*a**2 + 5*a - 3. Suppose u + 12 = -2*u. What are the prime factors of p(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 - 73. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 13, -2, 2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1611110 by 22070.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 16 = 6*y. Suppose 0 = -y*o + 2045 - 10045. What is o rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 855 - 854.9. Let q = -0.27 + 1.07. Let c = 1 - 1. What is the closest to c in p, 2\/17, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, 10 in ascending order.\nAnswer: -3, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*2*sqrt(288).\nAnswer: 384*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10248 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.62, -4\/5, 4, 0.5 in decreasing order.\nAnswer: 4, 0.5, -4\/5, -2.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 16. What is x(-6)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119513 + 264142. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120866531 + -18?\nAnswer: 120866513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3562 divided by 1?\nAnswer: -3562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 - 39 + 11*k)*(-7*k**3 - k**3 - 2*k**3).\nAnswer: -110*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**4 - 5*b**4 + 3*b**4)*(b - 3*b - b) + 63*b**2 + 86*b**5 - 63*b**2 + 3*b**5 + 11*b - 11*b.\nAnswer: 86*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 11 = 10*y. Let x be ((-7)\/(-7))\/(0 + y). Solve -5*k + 4*n + x = -40, n = 5*k - 29 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-2\/7))**(4\/15)*o**5*o*o\/o**(-7))**(-3\/13))**(6\/23) assuming o is positive.\nAnswer: o**(-9036\/10465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*u + 129*u = 229*u - 31 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-5))\/(-2)*-5. Suppose -n = 4 - z. Suppose -d = 4*h - 69, h + 0*d + n*d = 19. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6221 = -5*s + 21116. Calculate the greatest common factor of 18 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -337, 62, -1 in decreasing order.\nAnswer: 62, -1, -337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84695 divided by -13.\nAnswer: 6515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*l = -525*l + 180 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.896 + -9.896. Which is the closest to -25? (a) -0.3 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {g: 1, b: 4, d: 1, s: 5, n: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1672713?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51*b**4 - 7*b - 8*b**2 - 50*b**4 + 14*b**2 + (b**3 + 0*b**3 + 0*b**3)*(b + 2 - 2) + 2*b**4 + 0*b**4 + 0*b**4.\nAnswer: 4*b**4 + 6*b**2 - 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1656952457 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*u + 98 = -460*u + 4*x, 90 = 4*u + 3*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/15 - (-7752)\/(-1530)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 9*z - 6. Let u be d(-8). Let k be u + 1 - (1 + -3). Let o(n) = -5*n - n**3 - n + 9 + k*n. What is o(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqqqsqqq. Give prob of picking 2 q.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 41*b**2 + 87*b + 39. Let w be h(-43). Put w, 4, -6, 1 in descending order.\nAnswer: 4, 1, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1162 and 6723?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2*sqrt(847))**2 + 3)*-5.\nAnswer: -16975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, -600, -1, -393, 1 in descending order.\nAnswer: 1, -1, -71, -393, -600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56227.\nAnswer: 59, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*2)\/(24*19\/(-57)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 3*x**2 + 9*x + 10. Let u be h(-5). Suppose -2*j - j + u = 0. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 3:50 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57403 and 2095?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/21)\/((-3)\/27) + 1. Let r be (7 - -993)\/(w\/(-1008)). What is r rounded to the nearest ten thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183398040 divided by 9?\nAnswer: 20377560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*735.2\nAnswer: -220.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 21 = 6*o. Let t be 10\/(o + -5 + 4). Solve 4*x = -x, 3*x = t*s - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 11*g - 7. Let a be n(10). What is the derivative of 1 + a + 2 - 4 - 2*o**4 wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1656 - -1656.4. What is the biggest value in m, 415, -2\/7?\nAnswer: 415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3310320131 (base 4) to base 12\nAnswer: -404565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)*v)**(-7\/3))**(-12)*(v\/v**(2\/7)*v**(1\/9)*v)**(-21) assuming v is positive.\nAnswer: v**(-115\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 11*i - 16. Let a be m(7). Let p be a*(-5)\/(-70)*28\/6. Solve -14 = 2*n + 5*w, -5*n + 0 = p*w + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 361634.663047 + 0.1.\nAnswer: 361634.763047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.003*113\nAnswer: 0.339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132352 divided by -1?\nAnswer: -1132352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, 3, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460404?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*q + 34 = -28 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 97874, 195733, 293578, 391415, 489250?\n\"Answer: f**3 - 13*f**2 + 97891*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*t**2 - 313*t**3 + 106*t**2 + 109*t**2 - 328*t**2.\nAnswer: -313*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**2 - 190*t - 1485 = 0. Calculate t.\nAnswer: -27, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x + 9 = 2*z, -3*z + 3*x + 9 = 0. Suppose 0*c + 2*u = 2*c - 4, c + 4 = z*u. Suppose 0*t + c*t = 0. Solve -5*y + 4*y = t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 2*x - 13. Let t be z(-3). Let o = 614 - 1322. What is the units digit of o\/t*2\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*n + 39*n + t - 8082 = 0, 0 = -4*n - 5*t + 16176. What are the prime factors of n?\nAnswer: 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 24266 = -3*u - u, 3*h = u + 14563. Suppose 2*p + 4*p - h = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycyi when four letters picked without replacement from {c: 1, y: 2, i: 1, z: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 493*r - 1 - 175*r + 1 as f + q*r and give q.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 - (3 + (-5 - -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/272 and -57\/238.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5069 divided by -39923.\nAnswer: -137\/1079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - j**2 + 1. Let o(f) = 875*f**3 - 750*f**2 + 750. What is -o(x) + 750*r(x)?\nAnswer: -125*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/11 - -23\/99. Let s be 6\/(-9) + 20\/(-6). Let u be (-3)\/(-9)*30\/s. What is the second smallest value in -2, y, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8143)\/170*-71*1\/2. Let y = s + -1701. What is the common denominator of y and -91\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2385119*h + 2385150*h = 1209 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (37\/(925\/600))\/((-6)\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(228) + sqrt(228)*1))\/sqrt(12))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.01 - 0.01. Let z = 3 - m. Which is the second smallest value? (a) z (b) -4\/5 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 412989 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**5*w**(-4\/7)*w*w**7\/w**(-4)*(w*w*w**10*w**(-1\/9))**(-6\/29) assuming w is positive.\nAnswer: w**(3026\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1\/3, 3\/76, -13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 33\/5. Sort g, -0.6, -0.2 in descending order.\nAnswer: g, -0.2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3651, 3650, 3639, 3612, 3563, 3486, 3375?\nAnswer: 3224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 868613977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.039 and -145119?\nAnswer: 5659.641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*i + 3*z + 15, z - 7 = 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -3.59 (b) 0 (c) 305\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 0 + 3783\/(-546))*(-22 + 2).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0 - (-18 - -17)) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -9. Let u = d - -14.9989. What is u rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -495 + 494.2. Is a greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 2\/225261365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -7120*m**2. Let k(r) = -2*r**2 + 20*r. Determine k(l(y)).\nAnswer: -101388800*y**4 - 142400*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -82407329?\nAnswer: -41203664.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (324 - 283 - (0 - 12)) + 8?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 7484\/(-1068))\/(121\/(-33) + 30 + -27).\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 861, 1725, 2589, 3453?\n\"Answer: 864*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -166\/69 - -2\/345. Let f(b) = -b**3 + 3*b**2 + b - 2. Let p be f(3). Let w = p + -4. Is h <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/101 and 87\/8.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(78) + sqrt(78))*-2 - sqrt(78))\/(1*sqrt(8)))\/(-4*sqrt(24)\/sqrt(8) + sqrt(3) + (sqrt(42)\/sqrt(2))\/sqrt(7)).\nAnswer: 7*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2216 is divided by 187.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3417079 at least as big as 3417084?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 529874 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7958?\nAnswer: 2, 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 11*c**6\/2 - 147*c**3\/2 - 35*c**2 - 12*c. Differentiate q(u) wrt u.\nAnswer: 1980*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -61*w - 1. Let t(x) = -x**2 + 7*x. Determine v(t(i)).\nAnswer: 61*i**2 - 427*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1616141 divided by 225\nAnswer: -1616141\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1)*(2\/(-10))\/(28\/(-70)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c + 12. Suppose 5*l + 0*j = -3*j + 73, -54 = -4*l + 2*j. Let a = l - 6. Calculate y(a).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -182*m + 1440 - 6709 - 7352 for m.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3810776337.\nAnswer: 3, 423419593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391330 is divided by 112.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7548316521?\nAnswer: 3, 41, 61368427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**3\/8 + 1457*u**2\/4 + 5831*u\/8 + 729\/2 = 0.\nAnswer: -1, 2916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*c = -6 + 282, 5*s - 279 = -c. Let m = 91 - s. Suppose 0*k = -5*k + 2*i + 40, -5*k + m = -3*i. Solve -30 = 5*v - k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) -56 (c) -4 (d) -3 (e) -1 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*x + 17 = 0, -3*d + 24 = d + 4*x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2018*r - 922*r + 5 - 5 + 311*r in the form a + f*r and give f.\nAnswer: -2629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -18*b - 39. Let o be c(10). Let r = 488 + o. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/4 + (-3)\/(-2). Let n = 0 + f. What is the third derivative of -i**6 + 0*i**4 - i**n - 2*i**2 + i**4 wrt i?\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -51, -79, -121, -183, -271, -391?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7521.\nAnswer: 3, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66780 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**5\/15 + m**4\/8 + 2*m**2. Is 10 a factor of k(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-12) + (-214)\/12. What are the prime factors of (-176)\/(-18) + (-4)\/a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 1\/2305 (c) -1\/10 (d) -11 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 40*t. Let g(l) = -69*l**2 - 63881*l. What is g(m(w))?\nAnswer: -110400*w**2 - 2555240*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f - 11. Let z be r(-7). Let v(a) = -a**3 + 3 - 2*a**3 - 3*a**2 + 2*a**z - 3*a + 0. List the prime factors of v(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*f - 5. Let w(q) be the third derivative of q**5\/12 - q**4\/4 + q**3 - q**2. Let o(j) = -11*j + 3 + 6*j + 4*j**2 + 2. Calculate f*w(r) - 6*o(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 0 + 481 + -486?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1844368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 8) + 2 + -5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 295 - 292.2. Let p = r - -8.2. Which is the smallest value? (a) p (b) 2 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.43 times -1.9349\nAnswer: 0.832007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/(-2*(sqrt(8) + sqrt(800))))\/(2*sqrt(192) + sqrt(1452) + (2*sqrt(1452) - sqrt(1452))).\nAnswer: -sqrt(3)\/660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 13 - 9*s**3 - 2*s - 12*s**3 in the form m*s**2 + h*s + o*s**3 + v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 44800000 to the nearest 1000000.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**2 + 4*a + 1. Let d be s(2). Which is smaller: d or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, -2\/15, 2, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 601136 - 3410?\nAnswer: 564426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 2. Suppose 4*s + 7*s = -561. Let c(y) = 9*y**2 - 17. Give s*m(n) + 6*c(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4852779942?\nAnswer: 2, 3, 808796657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 322330 (base 5) in base 10?\nAnswer: 10965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 718573.\nAnswer: 17, 43, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 450 and 27850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, c: 2, v: 5, s: 3, t: 2}. What is prob of picking 1 l and 2 c?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -50?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -143\/45*z**3 + 82*z - 1\/150*z**5 - 121\/15*z**2 + 0 - 23\/90*z**4. Factor b(v).\nAnswer: -2*(v + 1)*(v + 11)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 7*m**2 + 4*m + 8. Suppose -43 = -d - 1. Suppose 2*r - d = -5*j, 3*r - 44 = 5*j - 6. Calculate the least common multiple of v(-6) and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1 + 5 = p, -3*p + 5*b + 19 = 0. What is the lowest common multiple of p and (40\/(-4))\/(-4*(-1)\/(-4))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 12) to base 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j + 9 + 45 = 0. Solve j = -t - t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1, 3, 1, 19, 6, 0 in decreasing order.\nAnswer: 19, 10, 6, 3, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0.101, -3\/2, -2, 48, 2 in ascending order.\nAnswer: -2, -3\/2, 0.101, 3\/4, 2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -723445352 at most as big as -723445349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 6*h**2 + 1. Let j be c(6). Let q(k) = k - 1. Let d be q(2). Let w be 38 - -7 - (j - d). What is the highest common divisor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 2*c + 5. Let z be k(6). Suppose -7 - z = -3*w. Let x be (w\/(-25))\/(2\/(-205)). Round x to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -80434, -80435, -80436, -80437, -80438, -80439?\n\"Answer: -t - 80433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 472 and 1011909?\nAnswer: 8095272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*o**5 - 25*o**4 - 676*o**2 wrt o.\nAnswer: -720*o**2 - 600*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1345, -5, -2, -3, 0.1 in decreasing order.\nAnswer: 1345, 0.1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 3232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q + 17. Determine n(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(sqrt(1573) - (sqrt(1573) + 0)) - (sqrt(1573) + (6*5*sqrt(1573) - sqrt(1573)))) + 5)*-1)**2.\nAnswer: -3300*sqrt(13) + 1415725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*t - 5*t**4 + 2*t - 7*t + 768 - 789 + 2*t**4 in the form d*t**2 + g*t**3 + c + k*t + x*t**4 and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + (sqrt(847)*-3 - sqrt(504)\/sqrt(8))))**2.\nAnswer: 326592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67968 bigger than 67924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 285 - 282. Solve -5*h + u*m + 22 = 0, -3*m + 26 = 3*h - 8*m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156349746 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1715 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*i**4 + 405*i**2 - 405*i**2 + i**4 + 0*i**3 + 0*i**3 + (-2*i**2 - i**2 - 4*i**2)*(4*i**2 - 2 + 2) - i**4 + 3*i**4 - i**4 + i**3 - 2*i**4 - i**3.\nAnswer: -47*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -5, 12, -0.2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166, 287, 408, 529?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398*o**3 - 386*o**3 + 1168*o**3 - 382*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 2. Let f be w\/20 - (-18)\/24. Let g(s) = s**3 - 8*s**2 - 3*s - 56. Let l be g(9). What is the closest to 3 in f, l, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33884.\nAnswer: 2, 43, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 8*n**2 + 7*n + 1. Calculate z(-6).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 266*n**2 + 14*n - 179. Is l(-41) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5291, -5911, -6533, -7157?\n\"Answer: -g**2 - 617*g - 4673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15245 = -64*k + 41*k - 2733. Is 5982\/11 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -201 + 207. Let w = 3 - -7. Which is bigger: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 13*o + 209 - 119 + 2*o - 90.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7529 divide 1275186480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/3097 at most as big as 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -17. Let y(d) be the first derivative of -1\/2*d**2 + 0*d + 0*d**n - 3\/5*d**5 - 2 + 0*d**4. What is the second derivative of y(l) wrt l?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 d when three letters picked without replacement from qfaakqkqfapqkqffqdp.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 37\/2 of a microgram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d + 1117 = 795 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-96)\/(-3))\/(-4))\/(-10)*-5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 27 = d, -3*d - 6 = -11*j + 6*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9+-0.4305\nAnswer: 8.5695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9023, -72072, -243201, -576446, -1125843?\nAnswer: -1945428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 31411, 64249, 98521, 134233, 171391, 210001?\n\"Answer: s**3 + 711*s**2 + 30698*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -113?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m - 37 + 37 to the form o*m + j and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 624 - 444. Let y = f - 109. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**2 - 4*c**2 + 6*c**2 + 173705 + 5*c**2 - 179351 + 2*c as h*c + j*c**2 + f and give f.\nAnswer: -5646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109*a**5 - 784*a**3 - 215291*a wrt a?\nAnswer: -2180*a**3 - 4704*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7368 - -20.\nAnswer: -7348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.4, -1\/3, -15\/4.\nAnswer: -15\/4, -1\/3, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/59 (b) 203 (c) -22\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 64 + 114 = -46 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152) - (sqrt(152) - sqrt(152)*-1*3) - -2*(sqrt(152) - sqrt(152)*-1))*-3)\/((-4*sqrt(768))\/sqrt(6)*4))**2.\nAnswer: 171\/4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - (51 + 0) - (-1 + -2)) + 30.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 247.3634ml in litres?\nAnswer: 0.2473634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = 5*h - j, 3*h + 3*j - 437 = -344. Calculate the remainder when 1499 is divided by h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(20\/1))\/(-14*1\/16)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n**5 + 25*n**5 - 58*n**5 + (-2*n + 0*n - n)*(0*n**4 + 3*n**4 - n**4).\nAnswer: -33*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31897 and 2101?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4142, 15261, 33762, 59639, 92886, 133497, 181466?\n\"Answer: -j**3 + 3697*j**2 + 35*j + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28325, 56789, 85553, 114767, 144581, 175145?\nAnswer: 206609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-5)*7\/((-56)\/20). Suppose z*v - 8*v = -1434. Suppose v = 4*r - i, r - 59 = -i + 2*i. What is the greatest common factor of r and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 - 165\/2. Suppose 476 = 6*z + z. Let j = z + -206\/3. Which is the closest to r? (a) -5 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 3*q = 3*j + 1803, 5*q - 715 = -2*j. Is j a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -6578.5?\nAnswer: -6578.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 639971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2484 divide 836506872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 265072659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h. Let k(i) = 9*i**2 - 9. Let c(l) = 8*l**2 - 10. Let d(z) = 3*c(z) - 4*k(z). Determine y(d(p)).\nAnswer: 24*p**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 1 - 15. Let x(d) = -3 + 0 + 4. Let r(u) = -2*u**2 + 2. Calculate a*x(w) - r(w).\nAnswer: 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/12109?\nAnswer: -1\/12109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19831 - 89?\nAnswer: 19764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 + 15?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 bigger than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b**2 + 2*b - 6. Let a be s(6). Let p = 410 + a. Let o = -76 + p. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13359 + 2*v**2 - 364*v + 6176 - 2973.\nAnswer: 2*(v - 91)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*l**4 - 24*l**4 + 44*l**4)*(2*l - l - 3*l) + (17687 - 17687 + 192*l**3)*(l**2 + 0*l**2 + l**2).\nAnswer: 380*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + v**2 + 4*v**2)*(3 - 3 - 2) + 3*v**2 + 3*v + 0*v**2 - 2 - 5*v**2.\nAnswer: -4*v**2 + 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 13267.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 10:58 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39*d + 56*d - 35*d + (-3 - 4 + 5)*(-314 + 314 - 60*d))*(-6 + 0 + 4)*(-12 + 12 - 4*d) to the form u*d + k*d**2 + v and give k.\nAnswer: 816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58 in 0.4, 0.011, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -29. Suppose 0 = 5*d + 4*m - 18, -2*d + 3*d - 4 = -m. Let n(k) = d - r*k + 3*k - 2. Let j(q) = -4*q**2. What is n(j(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 16826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35433 or 35571?\nAnswer: 35571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x. Let y be h(2). Let d be y\/(-38)*(-2)\/1. Let b = 6 - 5. Sort b, d, -2\/9 in increasing order.\nAnswer: -2\/9, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 59*s**2 + 205*s + 60. Let g(y) be the third derivative of y**5\/3 + 17*y**4\/6 + 10*y**3\/3 + 15*y**2. Let q(c) = 6*a(c) - 17*g(c). Factor q(i).\nAnswer: 2*(i + 5)*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrryryyyrryy. What is prob of sequence ryr?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b - 44*b - 68 + 22*b + 160.\nAnswer: -2*b + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v - 96. Let x be m(-23). Let w be (x - (-104)\/28) + (-32)\/(-14). Solve -2*d = -0*k - 3*k - 11, 5*d = w*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(3465\/17347) - (-2)\/(-21). Let z(c) = 7*c + 4. Let x be z(3). What is the highest common divisor of x and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00031547 rounded to six dps?\nAnswer: -0.000315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/((-18)\/148171) + (19530\/(-567) - -34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*c - 55*c - 48 = 0. Suppose 19*y - c*y = 19050000. Round y to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-258)\/172)\/((-3)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 123370*r**3 - 2*r**2 + 494*r - 5?\nAnswer: 740220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 7491?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 672 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 26*-1.03\nAnswer: -26.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h - 32. Let p be x(-11). Solve v + 2*v - p = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**1\/p))\/p)**(2\/73)*p**(-1\/12)*p**(-3))**(-16\/7) assuming p is positive.\nAnswer: p**(148\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 78, 1\/14, -0.232, -4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 36485280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 238.3 - 240.3. Sort -0.0166, -1\/2, j in decreasing order.\nAnswer: -0.0166, -1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/(-25))\/(-9)*2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + s + 4. Let l be (149 - 143)\/(0 + (-6)\/4). Let g(j) = -2*j**2 - 2*j - 11. What is l*g(h) - 11*f(h)?\nAnswer: -3*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 1\/2*u**3 + 0*u**2 + 2*u - 1. Let d(m) be the first derivative of l(m). Let s(t) = t**2. Give d(s(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + x - 1284, -54*l - 2*x - 2592 = -56*l. What is the lowest common multiple of 2150 and l?\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 1 + (-6)\/2. Let q = -2 - g. Let x be (2 - q) + (-57)\/18. Which is smaller: 0.2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**2 + 2*q**3 + 9*q**2 - 2407753 + 1203873 + 1203880.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 15) to base 14\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**3 - x**3 - 3*x**3 + 0*x**3 + x**3 + 3*x**3 + 9*x**3 - 19*x + 19*x - 6*x**3 - x + x + (-2*x - 2*x + 2*x)*(0*x**2 + x**2 + 0*x**2).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4\/5 - 1626*g**3\/5 - 8206*g**2\/5 + 21282*g\/5 - 11452\/5 = 0.\nAnswer: -7, 1, 818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -566, -1767, -3632, -6149, -9306?\n\"Answer: 2*h**3 - 344*h**2 - 183*h - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d - -29ba?\nAnswer: 2a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-1) - (-6 - -2). Suppose 0 = -5*k - o*l, 6*k - k + l = 0. Let u = 2\/149 - -439\/596. What is the third smallest value in k, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2727\/14 - 1385\/7. Calculate the common denominator of 1\/26 and g.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 + (-6)\/3)*((-540)\/(-189) - 456\/189)?\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t + 37. Let o(a) be the second derivative of -a**6\/180 + 2*a**3\/3 + 2*a**2 + 14*a. Let c(i) be the second derivative of o(i). Calculate c(q(s)).\nAnswer: -18*s**2 + 444*s - 2738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -492 + 1044. Is 24 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1495, 0.2, 2, 0.19, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 3*o**2 + 78*o - 206. Calculate l(0).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.113 - 0.013. Is -18 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-234)\/195*10*-1. Let p(g) = g**2 - g + 1. Suppose j = 1 - 0. Let w(d) = 12*d - 10 + 0*d + 1794*d**2 - 1804*d**2. What is h*p(y) + j*w(y)?\nAnswer: 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8068469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 702, 4277, 10230, 18561, 29270, 42357?\nAnswer: 57822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 25275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 350522087 to the power of 1\/2, to the nearest integer?\nAnswer: 18722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**2 + r**3 + 5 - 417*r**4 + 3*r**3 - 2*r**3 + 418*r**4 + r**3 to d*r**3 + i*r + g*r**2 + s*r**4 + v and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**4*w)\/w)\/w**8)**(-43) assuming w is positive.\nAnswer: w**172","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (61 + -29 + -40)\/8. Let o = -7 - -2. Let n be ((-3)\/5)\/((-2)\/o). Sort z, 7, n, 3\/7 in descending order.\nAnswer: 7, 3\/7, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -120 in 0.5, -0.8, -3, 2, -0.01?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23\/(4 + -10 + (-4)\/(700\/(-1043))). Is c greater than or equal to -584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -21*s + 14. Let a be f(-9). Let x = 118 + a. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 11*f - 16. What is the tens digit of 2\/(-17) - (28848\/(-68))\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 164587119 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 8\/(-32)*-8. Solve x*y - g + 7 = 0, -y = y + 3*g - 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 3, -1, -43, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 9*x**2 + 42*x - 158. Let h be d(-14). Calculate the greatest common factor of 1742 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -724.3 - -724. What is the closest to 1\/4 in k, 4, -1, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (-8)\/(-6))*-9. Let j(x) = 6 + x + x**2 - 2*x**2 - 5*x. Determine j(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 1\/12*x**4 + 0*x + 0 + 0*x**3 - 38*x**2. Let i(j) = -26*j. Determine r(i(k)).\nAnswer: -52*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29.16 - -30. Let w = o - 5.94. Let u = 5.66 + w. Round u to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**2\/4 + 681*x\/2 + 24795\/4 = 0. What is x?\nAnswer: -435, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 + 79 = -7*w. Suppose 9*i - w*i + 4130 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 531451\/4 - 132863. Let x(t) = -t**3 - 2*t**2 - t + 2. Let o be x(-2). Put 2\/3, o, h, -2\/17 in descending order.\nAnswer: o, 2\/3, -2\/17, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.22, 5272, -0.2.\nAnswer: -2.22, -0.2, 5272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 1, -2, 16, 0 in increasing order.\nAnswer: -17, -2, 0, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011111110110110100 (base 2) to base 8.\nAnswer: 4376664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 7*k - 33 = 0. Let i(h) = h**2 + k*h**2 + 25*h**3 - 24*h**3 + 4 + 4*h. Calculate i(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + (-34 + 117 - 25)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7857 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/((-20)\/(340\/(-51)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 305445 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119168682 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 1 - 5 + 0*y - 6*y**2 + 6*y**3 + 2*y - 9*y**3. Let i(a) = -8*a**3 - 17*a**2 + 5*a - 11. Determine -4*i(r) + 11*w(r).\nAnswer: -r**3 + 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 d when two letters picked without replacement from xkrxxxdrwxdmxx?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - 1011?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 228407 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 (base 16) in base 4?\nAnswer: 102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**2\/2 - 6*w - 8. Give v(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 + 4*d**3 - 2*d**3 + 2*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*n + 15, -2*o - 3*n = -8 - 1. Suppose -4*f = -o*f - 28. Solve f*y = 2*y - d + 23, 3*y + d = 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*x = 2*x. Solve 2\/5*n**2 + 1\/5*n**3 + x + 1\/5*n = 0 for n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - b**2 + 65. Let u be t(6). Let k = -78 + u. What is the remainder when k is divided by 45?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Let b(d) be the first derivative of 5*d**2\/2 - d + 5. Let o(g) = -4*g + 1. Give k*b(s) + 3*o(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-15) + 20\/3. Suppose -33 - o = -2*x. Suppose 0*f + 160 = 5*f + 5*y, 2*f = -3*y + 66. Calculate the highest common divisor of f and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5bd8 (base 16) to base 14\nAnswer: 87d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0.0577944?\nAnswer: -1.0577944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 9*z + 8120 = 167596. What is the thousands digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1*c)**(-9\/4)*((c**(1\/4)*c*c)\/c)**2)**(1\/4) assuming c is positive.\nAnswer: 1\/sqrt(c)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/4 of a century?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2899258100 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 16\/21*u**3 + 4\/7*u - 10\/7*u**2 - 7. Let a(p) = 0. What is p?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 932 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**3 - 950367*a + 1019*a**2 + 950367*a as l*a**3 + r*a**2 + x*a + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 3*u + 9 = 0, 6*i - u = 11*i - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 51435250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -7*v + 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24910.\nAnswer: 2, 5, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6850 is divided by 176.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d**2 + d - 1. Let o be u(1). Let c(a) = 2*a**2 - a - 2. Suppose 2*q = 1 + 3. Let s be c(q). Put 0, s, o in decreasing order.\nAnswer: s, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -38009*a - 1358. Is f(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + 12. Let o = -12 + g. Let b = 1608\/11 - 146. Put -0.1, b, o in ascending order.\nAnswer: -0.1, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 181?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 612 - 588. Which is smaller: p or 119\/5?\nAnswer: 119\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466474665.\nAnswer: 3, 5, 31098311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*b + 21 = 399 + 918 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 6 - 18 = 0. Let l = 17 - 12. Solve m*v = v + l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/16511 and -13\/118816.\nAnswer: 24832544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/4*8\/30. Let k be (-295)\/30 - (-11 + 1). Sort -4, k, o in descending order.\nAnswer: o, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70456 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1494, 0.3, 0.4, 5, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*(sqrt(1300) + sqrt(1300) + -1) + sqrt(1300) + 0 + 3)**2.\nAnswer: -1120*sqrt(13) + 63764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468390?\nAnswer: 2, 3, 5, 13, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -f - f. Suppose -4 = x - f*x. Suppose -x*m = -19416 - 21384. Round m to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8769?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42544544.\nAnswer: 2, 7, 43, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**7\/315 + k**6\/45 + k**5\/18 + 2*k**2 + 32*k. Factor x(c).\nAnswer: -2*c**2*(c - 5)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 3*b - 6*b)*(3*b + 6*b + 2*b) + 4*b**2 + b**2 - 2*b**2.\nAnswer: -63*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 69*b + 454. Let z be k(-75). Let m = 13 - 10. Solve m*h + 2 = z*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386779104 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 11\/11 - 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13321342 (base 5) to base 4.\nAnswer: -201022213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22701*w - 28629?\nAnswer: -22701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 97*c - 112*c - 8. Solve 0 = -c*r + 65 - 53 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = m + 4*i + 28, 2*m - 27 = 3*i. Calculate the remainder when 21 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 2\/(-4))*-4. Let m(k) = 244 - 244 - 4*k. Give m(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cddc when four letters picked without replacement from {d: 12, c: 3}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -765 + 14143?\nAnswer: 13267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-6)\/9*3. Suppose 5*p - v*p - 603 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2013 divide 2099844846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -537037 or -537051?\nAnswer: -537037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 72 + 1?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 190 + -190.0000117. Round m to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1. Let m(n) = n + 28. Calculate 2*j(a) - m(a).\nAnswer: -a - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 8*q + q.\nAnswer: -7*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.023 (b) -1 (c) -1.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 453931 not equal to 453930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.003 * 13\nAnswer: -0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - r - 33112 = 8583, 21 = -3*r. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (15 - 42) + 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.032 + 0.003. Round j to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-26)\/(-5))\/(-5*1\/(-125)). Let t = u - 132. Let y = 37\/258 - -1\/43. What is the closest to 0.2 in y, -3, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**2 - 43226580*d + 43226576 = 0. Calculate d.\nAnswer: 1, 10806644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18779*n**4 + 9747*n**2.\nAnswer: 450696*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 8. Let m be v(-5). Let t be 2\/5 + 992\/(-5) + -1. Let q = -199 - t. Solve q = m*u - 2*s - s, -2*u + s = -3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3 = 3*i. Solve 3*v - 4*v = 5*g, i*g - 18 = 3*v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 141 + 137 = 0. Which is smaller: z or 10\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by -67127\nAnswer: 49\/67127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/22)\/(3\/(-9))*160\/(-120)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 48, 17, 47, 4.\nAnswer: -51, 4, 17, 47, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p - 7. Let y be z(5). Let o be 39\/(-2) + 55169\/2566. Put 4, y, o, -4 in descending order.\nAnswer: 4, y, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 2*z + 2. Let q be u(-2). Suppose q*k = 5*k. Suppose -4*c + 175 + 101 = k. Is c a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 1:27 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14314204 is divided by 24017.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4696, 4697, 4698, 4699?\nAnswer: 4700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4024 and 65816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -518 to the nearest 10.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 + -1. Let w = -0.2 - h. Let s = 2594 + -2598. Put s, w, 3 in increasing order.\nAnswer: s, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-10)*(0 + 5). Is 9 a factor of (-2)\/(-1) - -2 - (-295)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1639.143 - -1638. Let f = v + 0.143. What is the closest to -2 in -2, f, -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 30*c + 193. Let d be k(-34). Let y be -5 - (17\/(-3) - (-38)\/d). Solve f = -y*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3 - 9 = -7*t - 0, -7*i = -13*t + 3*t + 48 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 11 = -a - 3*h, 5*h = -a - 4. Let r = -18 + a. Suppose 289 = -r*t + 772. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - ((-7 - -2) + -144 + 1 + 6). Which is the closest to 0.1? (a) 1\/2 (b) -5\/3 (c) r (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33646, 33657, 33682, 33727, 33798, 33901, 34042?\n\"Answer: c**3 + c**2 + c + 33643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 900 or 893?\nAnswer: 893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -135\/26624 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 6:22 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(-2*sqrt(384)).\nAnswer: -sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 minus -4389.2?\nAnswer: 4686.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1027*x + 788*x + 0 + 4 - 145*x - 5 - 12333*x**2 wrt x.\nAnswer: -24666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/184?\nAnswer: 3\/184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13958 - 13929. Solve v*t - 30*t = 4*k + 17, -k = 3*t + 18 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/137, 1\/5, -1, 38, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594 + 288 = 98*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5609 + 5627.344. Let s = 17.843995 - a. Let f = s - -0.5. Round f to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 237510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -5. Suppose 0 = 4*d - o*m + 6*m - 52, -4*m = -d + 23. Let f be d\/3 + -3 + 3. Solve -4*l - 3 - f = -2*b, 5*b + 24 = -l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r + x - 7, 5*r + 3*x = 7. Suppose 0*y - 3 = -y. Sort r, -3, y in decreasing order.\nAnswer: y, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.696063t in grams?\nAnswer: 1696063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2. Let r(z) = -30*z + 80. What is a(r(h))?\nAnswer: 2700*h**2 - 14400*h + 19200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -16. Let n = 0.401 - 0.001. Let p = -1.083 + 0.083. What is the nearest to p in 1\/2, n, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11, -1 in ascending order.\nAnswer: -2, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -39926, -40365, -41584, -43973, -47922?\n\"Answer: -65*o**3 + 16*o - 39877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 0.3339\nAnswer: -2.0034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 178 - 274 + 8*n - 191 to the form q + a*n and give q.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -23*u**3 + 17*u**2 - 26*u. Let j(d) be the second derivative of 2*d**5\/5 - d**4\/2 + 3*d**3\/2 - 52*d. Calculate 17*j(o) + 6*s(o).\nAnswer: -2*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -25, -21, -5, 29, 87, 175, 299?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -23, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4318, 18792, 42920, 76708, 120162, 173288, 236092?\nAnswer: 308580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**2\/2 - 2*r. Let v(c) = 4*c**2 + 8. Let z(y) = 3*b(y) + v(y). What is the derivative of z(w) wrt w?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 1. Let y(m) = 3*m**2 - 1. Let f be y(-1). Suppose 0 = -f*k - 4, 4*v - 7*v = k - 31. Calculate the remainder when d is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -197*p**3 + 97*p**3 + p**2 + 100*p**3 - 3*p**4 + 31 as f*p**2 + v*p + z*p**4 + h*p**3 + y and give y.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/5))**(-35)\/(((f*f\/(f**(1\/7)*f)*f)\/f)\/(f\/(f*f**(-3\/11))))*((f\/(f**(1\/9)*f)*f)\/f*f**(1\/4))**(-40) assuming f is positive.\nAnswer: f**(-38212\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4190.\nAnswer: 2, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3592362714.50856 and 0.\nAnswer: 3592362714.50856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.74113 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 7*t**2 - t + 3. Let n be (-8)\/(-6) + 1\/(-3). Let v be ((-6)\/6)\/(n\/7). What is y(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*k + 2*k + 2, -10 = -u + 2*k. Suppose u*z - 9*z = -171. Is 28 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/30*(18\/(-30))\/((-795)\/125)?\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-14))\/(-3111*(-19)\/14763 + -4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 2\/35, 0.5, 1\/5 in decreasing order.\nAnswer: 0.5, 1\/5, 2\/35, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23.99 - 24. Let n = -4.192 + 1.15. Let i = -0.042 - n. Sort 3\/4, p, i in descending order.\nAnswer: i, 3\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 19. Suppose -69 = -4*t - 3*m, 5*t - 39 = 3*t - s*m. Suppose 3*n = 4*n - t. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 27*r**3 + 0*r**4 - r - 3 + 5*r**4 - 3*r**4 as o*r + f*r**4 + t*r**3 + q*r**2 + j and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -89 divided by 6\nAnswer: -89\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 44*f**3 - 5 + 3*f**2 - 21*f**3 - 22*f**3 + 3. Let a be b(-2). Suppose a = -z + 14*z - 52. Solve 0 = -2*x + 4*i - 10, 3*i - 5 = -z*x + 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2218203 and 3237.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + 3 + -3 + sqrt(13)))**2.\nAnswer: -216*sqrt(13) + 792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.4776455 to three decimal places.\nAnswer: 17.478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i - 5 = 0. Let g be ((-2)\/i)\/((-2)\/30). Let d(f) = -f**2 - 8*f - 5. Let p be d(g). What is the highest common factor of 77 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5501*q - 395*q + 138124 = 212924 + 237688 for q.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 8*j + 35 = 0. Solve j*r - 28 = -8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 3*j**2 + 3*j. Let k be u(4). Suppose -5*c + 10 = -0*c. Suppose 4*w = 3*o - 2, -o - 3*w = -4*w - c. Put o, 3, k in increasing order.\nAnswer: k, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20 + 3 + -9 + 10*7\/14. Sort t, 2, -6 in descending order.\nAnswer: t, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 6. Let h be o(-4). Solve 14*t + 8 + 8*t**3 - 40*t**2 + 12*t - 3*t**h + t**3 = 0.\nAnswer: -2\/9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 133686403539.4 and 0?\nAnswer: 133686403539.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) 4\/3 (c) 20\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**2 - 300*u + 4500 = 0.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + s**2 + s. Let t(y) = -6*y**3 - 3*y**2 - 5*y + 1. Calculate 5*b(g) + t(g).\nAnswer: -g**3 + 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -6739 and -0.1.\nAnswer: -6739.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11\/4 + 81\/28. Let t = -0.6 + 2.6. Which is the smallest value? (a) t (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 1 - (-176)\/18. Let k = i + -103\/9. Let v = -382\/45 + 43\/5. Which is the second smallest value? (a) k (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.2 - 27. Let p = 29\/6 + -19\/3. Which is the closest to p? (a) s (b) -0.1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 2415998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5108 - 15.1426.\nAnswer: -5123.1426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 equal to 275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-7.722\nAnswer: 0.7722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1716, 3405, 5080, 6741?\n\"Answer: -7*q**2 + 1710*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from vvddgddgdgdveg.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5062*n - 5071. Calculate s(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 36*t + 30. Let b be y(-36). Calculate the remainder when 158 is divided by 6*b\/36*8.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*m - 1 = 7, -3*m = 4*w - 9. Let l(d) = -d**2 - w*d + d + 2*d. Let a(c) = -c**2. Give l(a(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11010187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5351054611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -2737*i**4\/8 + i**2 - 2025. Let f(k) = -k**2. Determine d(f(j)).\nAnswer: 8211*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2987 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*f + 2 - 2 - 92*f + 200*f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-5))\/(4\/10). Suppose y*j - 3*j = 0. Suppose 3*l = -j*z - 2*z + 49, 4*z = 8. Solve 3*i - r = 5 + 4, 0 = 5*r - l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1737 (b) -34\/3 (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(700) + -2)*-3)**2.\nAnswer: -240*sqrt(7) + 6316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(3\/((-6)\/(-4)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10596, 14478, 25018, 45546, 79392, 129886, 200358, 294138?\n\"Answer: 555*p**3 - p**2 + 10042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -6. Let v be (15\/5)\/(y + 1). Factor 2\/9*s + 2\/9*s**v + 4\/9*s**2 + 0.\nAnswer: 2*s*(s + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, j: 1, t: 6, o: 1, k: 6}. Give prob of sequence toj.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 4*d - 2*z, -d + 1719*z = 1720*z - 10 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 31 = 3*f, 2*f = 5*q + 6*f - 40 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/394110 and -1\/591165?\nAnswer: 1182330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/(-65))\/(4\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 divided by 1.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*j - j, j + o = 8. Let d(y) = 3*y - 7. Let m be d(j). Let v(x) = x**3 - 6*x**2 + 5*x - 2. What is v(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 363.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1480224 and -133\/130608.\nAnswer: 4440672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 + d. Let a be c(-1). Calculate the greatest common divisor of 20 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*3)**2*-4*6.\nAnswer: -179928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3429002531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8953 + 8953. What is the nearest to b in -0.2, -50, -3, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 14) + (21 - 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12 + 8 - -6*2\/4. Is -2\/355 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 8) + (2 - -8 - 1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25596)\/(-1161) + -15 - 7.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = m + 2*q, 20*m - 5*q - 19 = 21*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17180, 33806, 50432, 67058?\n\"Answer: 16626*l + 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 33118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 plus -29898262?\nAnswer: -29898262.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haah. Give prob of picking 2 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**1*v))**(-2)*(v**4*v)\/(v\/(v\/(v*v\/(v\/((v**(-2\/11)\/v*v)\/v)))*v)))**(20\/13) assuming v is positive.\nAnswer: v**(1800\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = d + 3, 2*o - 4*o = -2*d + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 32*g**5\/3 - 5392*g**4\/3 - 2728*g**3\/3 + 4036*g**2\/3 + 3376*g\/3 + 676\/3 = 0.\nAnswer: -1\/2, 1, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*c = 7*p - 56, 2*c + 4 = 0. Let a = 0 + 3. Is 9 a factor of 196\/16 - a\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5189 is divided by 595?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 6*m - 10*m)*(5 + 0 + 4) + 39*m - 10 - 6 - 1 + 19.\nAnswer: -78*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 2:36 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 75756 divided by -177\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2)\/k**1*((k**(-3\/7)*k)\/k)\/((k\/k**(-1\/7))\/k)*((k*k**(-1))**(-5\/3))**(-1\/5) assuming k is positive.\nAnswer: k**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 + 33*q - 77. What is the remainder when 244 is divided by s(12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-26 - -2)\/(-6) + -3)\/((-104)\/16). Sort 21, -13, q.\nAnswer: -13, q, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w - 1\/6*w**4 + 1\/2*w**3 + 0*w**2 - 1. Let a(l) be the first derivative of s(l). Calculate a(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 3*y + 7. Let t be b(-4). Let 2*w**2 - 4*w**t - 5*w**2 + 0*w**2 + 8*w - w**2 = 0. What is w?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*v - 2*u + 36, 2*v + 18 = -3*u. Suppose 13*b + 47 = -109. Let s = v - b. Solve -s = 4*i - i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4) + 14 + -10 + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -389317 by -558.\nAnswer: 389317\/558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12565340 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4c549c (base 15) to base 6\nAnswer: 210301550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 2*j + 0 - 1\/66*j**4 - 1\/33*j**3 + 0*j**2. Factor k(d).\nAnswer: -2*d*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -2) + 5 + (1 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29443420543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 436\/29 + -3866\/261. Which is the third biggest value? (a) 146 (b) -7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -13*r**3 - 7*r + 25. Let i(f) = 7*f**3 + 3*f - 12. Let w(t) = -7*i(t) - 3*u(t). What is the derivative of w(z) wrt z?\nAnswer: -30*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 19.24. Let q = c + 0.240002. What is q rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofrfororofbwboow. What is prob of picking 2 r, 1 f, and 1 b?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -9. Let p(g) = g - 1. Let z(k) = 2*k - 2. Determine h*z(r) + 10*p(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2093 - -3420. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35.5 - 9.5. Let f = o + -25.936. Let h = f + 0.0105. Round h to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 55?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4921 divided by -703\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.41 + 0.01. Does -2\/3 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - s - 80 - 35, 4*s = 5*n - 576. Let q be (2\/(-6))\/(-1)*(-125 + n). Let w(c) = -4*c**3 + 4*c**3 + 3 + 2*c**2 - 24*c + 26*c + c**3. Determine w(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y + 1 - 1 + (y - 2*y - 2*y)*(-3 + 0 + 2).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -6.03. Let f = h - -4.03. Let v = 29 + -29.4. What is the closest to 2\/7 in v, f, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -10*j**2 + 7*j**2 - 12*j**2. Let y(t) = 19*t**2 - 20*t**2 + 5*t**2 - 2*t**2. Give y(u(c)).\nAnswer: 450*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -9*y**2\/2 + 17*y + 64. Let d be a(-3). Is d >= 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.9 + -0.9. Let x = -0.3649 - -0.0849. Which is smaller: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.5 - 15. Let b = s + 0.5. What is the closest to -0.1 in 1, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9103 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 32*a - 37*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 3408\/611 in descending order.\nAnswer: 3408\/611, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 473\/9. Let f be -2 + 1\/((-11)\/(-24)). What is the third biggest value in f, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + 59. Let z(h) = -h**2 - 45*h + 557. Calculate the remainder when t is divided by z(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 34732 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2680 - 1827. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v = h + 30, -h + 36 = -3*v. Let k(w) = -w**3 - 8*w**2 - 4*w - 6. Let o be k(-8). Let r = -37 + o. Is v greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -1 - (38371\/(-1) + 8). Suppose -37*v - 4*h - 38395 = -40*v, -3*v - 4*h = -k. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 35 = -3*m, q - 5*m - 75 = -4*q. Solve s + s = q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 69348*z - 42881*z + 2 + 6151*z.\nAnswer: -106078*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s**2 - 2*s + 7. Let k be q(-2). Is 6\/k - 8244\/(-42) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013411 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 0*p**2 - 4\/3*p**3 + 1\/4*p**4 + 0*p + 2. Find the third derivative of i(q) wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 2*j + 3*j + 4*j - 10*j = 11, -20 = -2*a + 2*j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 1232 = -2392. Let t = -306 - c. Put 8, t, 3, -15 in ascending order.\nAnswer: -15, t, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-93732336)\/80 + (-2)\/(-10). Let w = -928346 + b. Round w to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1904 - -1920. Calculate the greatest common divisor of 5296 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 14*s. Let l(b) = 603*b + 6. Let i(r) = -368461*r - 3664. Let u(j) = 3*i(j) + 1832*l(j). What is q(u(o))?\nAnswer: -9618*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 1168.\nAnswer: 12848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8295, 16569, 24843?\nAnswer: 33117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 299391 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -21, -41, -69, -105, -149?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 534070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/(u\/(u\/(u**(-1\/8)\/u*u)*u)))**(1\/12)*(u*u**(1\/4))\/u*u\/(u*u\/(((u\/(u*u*u**4))\/u)\/u)*u)*(u\/u**(1\/4))**(-16\/5) assuming u is positive.\nAnswer: u**(-1689\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 332820 divided by 90\nAnswer: 3698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2435?\nAnswer: 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.2 and -0.06?\nAnswer: 0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10 + 1)\/(-3) - -1. Suppose 13 = -5*o + 4*k + 54, o - 5 = a*k. Calculate the remainder when 16 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 26*o + 1518. Let r be u(-54). Solve -24*q + r = -30 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 500639 and 1134463.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86617, 173237, 259857?\nAnswer: 346477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 11*k**7\/210 - k**3 + 7*k**2 - k. Let y(p) be the first derivative of h(p). What is the first derivative of y(u) wrt u?\nAnswer: 44*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 711*o + 718*o - 143*o**2 + 2*o**3 - 1707*o wrt o?\nAnswer: 12*o - 286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 11) in base 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 8:33 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 23918\nAnswer: -4783.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 12 = -0*v. Calculate the lowest common multiple of (16\/v)\/((-1)\/(-3)) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-60)*0\/(-87)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b + 3. Let q be p(-13). Let k = q - -172. List the prime factors of k.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6284593*l**2 + 965687*l?\nAnswer: -12569186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 183 + 303 = 0. Does 24 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-6))\/(2\/84). Let p = 15 + y. Let f be p - (0 - 3) - 0. Put -2, -5, f in increasing order.\nAnswer: -5, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/255)\/(21\/735*-49*(-3)\/21).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4 - 66*n**3 - 333*n**2 + 24948*n - 142884 = 0. Calculate n.\nAnswer: -42, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 85681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 109 = 5*n, 27553 = -5*n + 14*z + 27136 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 20*f + f - 11*f - 9*f**2.\nAnswer: -9*f**2 + 10*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2813405\/102 + 27581. What is the common denominator of p and 29\/34?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -4558\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 - j**2 + 2*j. Let l be t(2). Let y be (-48)\/(3 + (-21)\/6). Suppose 0 = 3*f + f - y. Calculate the highest common divisor of l and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 302252 and 1?\nAnswer: 302252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31207 and 19859.\nAnswer: 218449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 3:17 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-18))\/((-2)\/(-21)). Let r be ((-100)\/5)\/(2\/h). Suppose -3*o - 2*o + r = -5*z, -3*o - 4*z = -70. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111115\/194047 - 33\/27721. Find s such that 0*s + 2\/7*s**3 + 6\/7*s**2 + 0 - z*s**4 = 0.\nAnswer: -1, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 4:26 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 10*z + p - 4826, -5*z + 12091 = -4*p. Is z a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.221, -15, 2 in increasing order.\nAnswer: -15, 0.221, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from xxyxxxxxxxyy.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 18 (c) -2\/9 (d) 2\/19 (e) 2 (f) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-19)\/((-11495)\/3443) + (-2)\/(-5)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 3. Suppose 0 = -3*o - 10 + 4. Let j be (((-96)\/o)\/d)\/(-2). Let a(n) = n**2 - 3. Let y(x) = 1. What is j*y(w) + 2*a(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 17 = 4*m - 31, 8*m = 5*k + 37 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-22 - (-6 - 12)) + 3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 40*u**2 - 16*u + 10. What is the lowest common multiple of p(1) and 86?\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/65)\/(-1*2\/2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -33, -60, -87, -108, -117?\n\"Answer: p**3 - 9*p**2 - p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5196, 10315, 15374, 20379, 25336?\n\"Answer: g**3 - 36*g**2 + 5220*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10389504 greater than or equal to 10389504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2 = 0, -48*o + 47*o + 2*c + 4304757 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165994349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*v - 1. Let l be (0 + v)*(0 + 33819). Suppose -l - 214181 = 4*u. What is u rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdf when three letters picked without replacement from edhvehdfhd.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (12 - (-3 + 14))\/((-28)\/(-85)) and -125\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayx. What is prob of sequence yxa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4569.2 - 4040. Round p to the nearest 10.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064 a factor of 367868197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.032 - -0.268. Let t = -1.4 - -1. Let q = 2 - 5. Which is the nearest to q? (a) t (b) j (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1 + 4 - 3*y - 4. What is the tens digit of m(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(12\/7)*(n\/(n\/n**(-10)))\/n)\/((n\/(n*n*n*n**5))\/n*n)**(-28))**(2\/5) assuming n is positive.\nAnswer: n**(-2874\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010261599 rounded to 6 decimal places?\nAnswer: 0.001026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 11*s**2 + 28*s - 8. Let k be a(-7). Let l(o) = o - 11. Determine l(k).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 21861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 5. Suppose -b*v - 4*l + 170 = 0, v + l + 2 = 89. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 4:43 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.99 + -0.01. Let z = -317\/3 - -1193\/12. Let g = z + 7. Put a, 4, g in increasing order.\nAnswer: a, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 647612.\nAnswer: 2, 7, 101, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 55 = 65. Let f(i) = -i**2 + 13*i - 31. Let p be f(g). Is p != 2\/169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) 1 (c) -7 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**2 + 2027*j. Let f(h) = 5*h**2 + h + 1. Give d(i) + f(i).\nAnswer: i**2 + 2028*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + p + 20 = 0. Let s(j) = j**2 + 2*j - 7*j + 3 - 5 + 4. Determine s(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4*i - 303 = -331, 7*i = -14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*v - 225 = 69, -4*d + 1221 = 5*v. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2551 + 2556. Solve -4 = 2*q - 3*j, n*q - 4 = 2*q + 2*j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6)*4)\/(-3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*z - 3*j, z - j = j + 2. Let i = -23\/2 + 7. Let r = -83 - -80. What is the third smallest value in z, r, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758*p = -760*p + 5*m + 10, 4*m + 8 = -5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -12*t**2 + 772*t + 246336. Determine g(179).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x - 33. Is x bigger than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oowo when four letters picked without replacement from {o: 4, w: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (8 + (17 + -3 + -22 - (0 + 71)))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20929572?\nAnswer: 2, 3, 581377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 102759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16 (b) 3\/2 (c) -0.4 (d) -0.04 (e) 21 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 327 - -445. What is the remainder when d is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o**4 + 41457*o**3 - 35631*o**2 - 159897*o + 154050 = 0 for o.\nAnswer: -1975, -2, 1, 13\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z + 0*z - 1 - z. Let n be l(-1). Let x = 101 + -67. Solve -v + n*t + 20 = 0, 4*t + x = 4*v - 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8993.7325 + 8861.9. Let g = -132 - q. Round g to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 376 or 365?\nAnswer: 376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 513 = 5*a - 387. What is the derivative of 305*m**2 - 120 - 169*m**2 + 2*m - a*m**2 wrt m?\nAnswer: -88*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 16 = 4*t, 0 = 3*i - 3*t + 9 - 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12637 bigger than 12636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -7*q + 15. Find the third derivative of 5*p**q + 35*p**2 - 16*p**3 - 29*p**3 wrt p.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 41890283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5883746 is divided by 326866?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 - 5*p + 3. Let n be s(5). Suppose 3*y + n = 5*y. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 520, 1852, 4414, 8608?\nAnswer: 14836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16632 = 16632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -8383000 to the nearest one hundred thousand.\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**2 - 645*i**4 + 291*i**4 + 355*i**4 + 97*i**3 - 8 - 16*i**3 in the form c*i**4 + o*i**3 + k*i**2 + p*i + u and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (2 + 11 - 10) + 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4 = -0*s + f, 0 = 5*s - 4*f - 23. Put -1, 2, s in ascending order.\nAnswer: -1, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 7 - 4. Let o be (32\/40)\/(f\/(-210)). What is the highest common divisor of 21 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6.68 (b) 0.1677 (c) 2 (d) 5 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1336*w + 322*w - 4 - 887*w + 300*w. Let u be p(1). Let y = u - -4605. Round y to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 60*b - 16. Let j(k) = 60*k - 10. Let c(y) = -100*y + 17. Let l(x) = 5*c(x) + 8*j(x). Give 10*l(t) + 3*r(t).\nAnswer: -20*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17\/4*b + 2 + 5\/2*b**2 - 1\/4*b**3.\nAnswer: -(b - 8)*(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8529955\/18 + -490545. Let a = t - -16651. What is the common denominator of a and 28\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7123*a**3*z + 3046*a**3 - 2*a**2*z + 28*a*z - 2*a + z + 30 wrt z?\nAnswer: -7123*a**3 - 2*a**2 + 28*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22)\/55 - 8\/5. Let a(z) = -11*z + 4. List the prime factors of a(d).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.487 - 0.527. Suppose o + w - 7 = 0, -5 = w - 2*w. What is the second smallest value in p, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**2 - 6*k - 4. Let v be h(6). Let l be (-2)\/(-9) + v\/18. Let s = 21 + l. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73397 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**3 + 0*t + 0*t + 1 - 2*t to the form f*t**3 + r*t + l + j*t**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 123.4 - 90.4. Are d and -15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 - 4*a**3 - 46 + 7*a**3 + 89 - 42.\nAnswer: 5*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3))**(8\/5)*(m*m\/m**(-1))**(-2\/9))**9 assuming m is positive.\nAnswer: m**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1652.275706 rounded to one dp?\nAnswer: -1652.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q - 3*z + 12, q = 4*z - 16. Suppose 3*c - 44 + 2 = q. Suppose -4*p + c = -3*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 16*o = -276. Let -o*g + 3*g**4 + 69*g - 3*g**2 = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**5\/3 - 10*n**4 + 86*n**3\/3 - 116*n**2\/3 + 24*n - 16\/3 = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.9869285 + -10.99. What is a rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 395\/110 - 10\/(-16)*-2 and -91\/36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by -42?\nAnswer: -11\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 437639255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13633*h + 6820*h + 6821*h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -37*j - 1. List the prime factors of c(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*327698.\nAnswer: 3276.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-49 + 36 + (-3 - 0 - -1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.4, -0.5, -6, 23?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 2\/3, -5, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.4 + 27.3168. Round l to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooz when three letters picked without replacement from xxzoxzooozooxo.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 1. Let k be x(-3). List the prime factors of 60\/k*(-6)\/(-12).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/8 of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.5 (b) -97 (c) -0.2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 4:24 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8*p + 152. Suppose a = 13*a - 180. Is 32 a factor of i(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 76905\/54 + (-2)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.453771574 plus -4?\nAnswer: -3.546228426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76.579 + 77.9. Let w = g + 0.179. Which is the nearest to -0.2? (a) 5 (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/3*(-2)\/(-6). Let g(r) = -2*r - 8. Let q be g(-6). Let p = -5 + 2. Put q, m, p in decreasing order.\nAnswer: q, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10465*n**2 - 1 - 1 + 2 + 6797*n**2.\nAnswer: 17262*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6 + 1 + 4 - w. Let x be i(6). Suppose 0*z = -2*z + x*y + 11, -z + y = -4. Sort 2, z, 4 in descending order.\nAnswer: 4, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8553)\/(-21) - (-4)\/(-14). Is (-2)\/(-5)*5 + r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 232726 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -34*t + 481. Determine b(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2*c + 3*c - 2, 0 = -r + 2*c. Suppose -2*o = r - 16. What is the smallest common multiple of 10 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + -4 - 3 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2063, -11146, -26277, -47456, -74683, -107958, -147281?\n\"Answer: -3024*o**2 - 11*o + 972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401*t**3 - 19*t + 15*t + 237*t**3 + 4*t.\nAnswer: 638*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/18*2)\/(1\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -5, -36, -91, -176?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 33*n**2 + 1424*n - 11244. Give b(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3348*t**3 - 4 + 6696*t**3 - 3344*t**3 + 4.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 51*h - 319. What is d(5)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255134571.\nAnswer: 3, 85044857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 1, s: 2, a: 3, i: 1, h: 3}. Give prob of picking 1 r and 1 i.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-1 - 1 - -21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 189, 441, 877, 1557, 2541?\nAnswer: 3889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -19 - (-60 + 51 + -15). Let g = -5 - -7. What is the nearest to -1 in -0.3, 0.6, g, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 5*g**2 - 9*g - 4. Let m be i(-2). Suppose -7 - 147 = -m*d. Let t be 3\/(-6) + (-23)\/(-2). Calculate the highest common factor of t and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -3. Suppose -350 + 525 = 25*r. What is the remainder when 321\/12 + o\/(-12) is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78 - 127 + 433)*(-2*h + 5*h - 2*h).\nAnswer: 384*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 531 - 503. Solve d + 32 = l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/20160 and 163\/181440.\nAnswer: 181440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 322.1 + -250.4. What is n 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 sixth smallest value in -3, 5, -3\/323, 0.3, -2598, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a**3 - 3305*a**2 + 6630*a = 0.\nAnswer: -663, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 242*w**5 + 572*w**4 + 426*w**3 + 104*w**2 + 8*w.\nAnswer: 2*w*(w + 1)**2*(11*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.65 - 3.2. Let r = 0.48 + s. Round r to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - -28 - (17 - (-3 + -8 + 84)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109586*x**3 - 54789*x**3 - 54799*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*w. Suppose w*f = -4*f. Suppose 3*t = -f*t + 15. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-94)*3774\/(-11322))\/((-4)\/2).\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10952 * 3.\nAnswer: -32856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1 - 8\/(-40))\/(((-80)\/(-6375))\/(-8)) and 92.\nAnswer: 23460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((51\/459)\/((-1)\/3))\/(5\/(-15)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 418624 or 418622?\nAnswer: 418622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -4*h + 9*h. Let n = 36 - h. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*q - 8 + 20, 3*i + 2*q - 17 = 0. Suppose l + 7 = i*h, h - l = -2 + 1. What is the remainder when 4 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45993008 less than 1?\nAnswer: 45993009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((((g**3\/g*g)\/g)\/g)\/g))\/(g*g**(1\/2)))\/(g\/g**(-1\/32)*g**(-5\/7)) assuming g is positive.\nAnswer: g**(-183\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.0062868.\nAnswer: 0.0062868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 + 7 - 15 + 12)*(-3*n + n + n).\nAnswer: n**5 - 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 3:22 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(1\/5))*(l\/l**1)\/l)\/(l**(-1)*l)**(8\/9))\/((l\/l**(-1))**(-28)*l\/(l**3\/l*l*l)*l*l*l**(1\/6)) assuming l is positive.\nAnswer: l**(1669\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/5)\/(-1 + (-126)\/(-135)). Suppose -4*m - 3*a = 7 + 8, -6 = -m - 4*a. What are the prime factors of (-46)\/m - n\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 4*f - 8. Suppose -f*i - 807870 = 332130. Round i to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -0.5. Let f = 6.4 + -6. Let g = f - -2.6. Sort g, -4, t.\nAnswer: -4, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r*(r*r*r*r*r\/r**5)\/r)\/r)\/(r**(-5)\/r))\/(r*r\/((r*r**(-7))\/r))**(-3\/28))**14 assuming r is positive.\nAnswer: r**(195\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -5*p**6\/6 - 8*p**3 + p**2 + 43*p. What is the first derivative of x(w) wrt w?\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + sqrt(475))**2*2 + sqrt(475).\nAnswer: -35*sqrt(19) + 954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -210.8, 2\/9, -0.1, -9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020692318 rounded to five dps?\nAnswer: -0.02069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.211 - -0.013. Let b = l + 0.046. Let n = -0.2699993 + b. Round n to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 808 and -0.3?\nAnswer: 808.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1.6. Let h = -5 + 3.3. Let n = h + 2.3. What is the biggest value in -0.3, n, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 6:06 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 213242091 to the power of 1\/2, to the nearest integer?\nAnswer: 14603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 + -58. Suppose 6*j = j + z. What is the third derivative of 8*p**2 + j*p**6 + 7*p**6 - 4*p**6 wrt p?\nAnswer: 960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 - 14*n**2 - 11*n - 18. Let t(l) = l**3 + 7*l**2 + 5*l + 9. Let h(c) = 3*g(c) + 5*t(c). Let x(a) = -2*a + 4. Let z be x(5). Give h(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87162 equal to 87165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2001\/(-252))\/(-23) - (-1)\/(-4)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2062783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 123, 136, 153, 174, 199?\n\"Answer: 2*s**2 + 7*s + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216 and 120?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8965161, -8965146, -8965121, -8965086, -8965041, -8964986, -8964921?\nAnswer: -8964846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*v**5 - 101*v**3 - 1010*v**2 - 234082896*v wrt v.\nAnswer: 420*v**3 - 606*v - 2020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 g when three letters picked without replacement from {n: 2, l: 1, d: 1, e: 1, g: 2, f: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-1)\/2 + 16\/(-8). Let o be -1 + (5 + -2)*(-1)\/z. Suppose 32 = -o*t + p, p = -0*p. Which is greater: t or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -7*z**2\/2 + 2*z + 17. Let s(c) be the first derivative of 3*c**2 - 2*c + 26. Determine -3*g(u) - 4*s(u).\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.25 minus -59669.75?\nAnswer: 59668.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3165499 + 25?\nAnswer: -3165474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-1 - 7) - 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1947*g**2*s**3 + 4402*s**3 wrt g.\nAnswer: -3894*g*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2499, -2943, -3683, -4719, -6051?\nAnswer: -7679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**8*v)**(1\/18)*(v**12\/v)**14 assuming v is positive.\nAnswer: v**(1391\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -10238*l - 20498. Give o(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -647 - -649. Let s(b) be the second derivative of 0 - 9*b + 1\/15*b**6 + b**v - 1\/3*b**3 - 1\/3*b**4 - 1\/21*b**7 + 1\/5*b**5. Let s(k) = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3326)\/(-40))\/((-12)\/(-130)). Let u = d + -2720\/3. Let s = 11199\/8 + -1402. What is the common denominator of s and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67494 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + x + 91, 5*s + x - 454 = -17. Let m = s - 74. Calculate the least common multiple of m and 26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5\/4 - 13*z**4\/2 - 5387*z**3\/4 - 24172*z**2 + 52409*z - 26884 = 0. Calculate z.\nAnswer: -44, -26, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than or equal to -99\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7596 - 7591. Solve -l*h = 238 - 228 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -630697, -1261397, -1892095, -2522791?\nAnswer: -3153485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 6*n**2 - 6*n + 7. Let y be t(5). Let f = -57 - -70. Solve -3*u = f + y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 41.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -14. Let p be (-2)\/(-6) + 294\/9. What is the highest common divisor of p and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*z - 819 = 578 + 255 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13023320 (base 4) to base 11\nAnswer: 20127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times 0.92?\nAnswer: -0.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 3*v + v)*(18*v + 60*v + 16*v + 2) in the form d*v**2 + x*v + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4 - 594530*i**3 + 1783602*i**2 - 1783606*i + 594536 = 0.\nAnswer: -297268, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -1 + 2. Let i(m) be the first derivative of 22*m**3\/3 - m**2\/2 - m + 280. Let r be i(p). Calculate the greatest common divisor of 110 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-3 + -5)*(-16)\/(-1). Let j(y) = 2 - 13*y**2 + 6*y + 5 + p*y**2 + 6*y**2. Determine j(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from {w: 4, n: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5127104 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155502 and 110982.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-1\/10)*r)\/(r*r\/(r\/(r**(-1\/3)*r))) assuming r is positive.\nAnswer: r**(43\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8241 (base 9) to base 5.\nAnswer: 143111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y + 23. Let o be w(5). What is the units digit of 842\/8 - o\/36*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20922569 to the power of 1\/2, to the nearest integer?\nAnswer: 4574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owqtjtomqmwooq. Give prob of picking 2 t.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 10212202100012101?\nAnswer: -10212202100012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -11*d - 64. Let w be j(-6). What is the hundreds digit of 336 + ((-8)\/14)\/(w\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*w + 394*w = -87*w + 3674 - 31268 for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10.19 * -0.55009\nAnswer: 5.6054171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/17, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338204379.\nAnswer: 3, 112734793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52*g**4 + 2091*g**3 + 2*g - 352807.\nAnswer: 208*g**3 + 6273*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/(-3) - (-4)\/(-6). Let c = -7 - m. What are the prime factors of 11 - ((-2 - c) + 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 52\/14 + 8\/28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 11 (c) 321 (d) -2303\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/13, -5, 79, 1\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*g - 360 = 12*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g**(-2\/3)\/g)\/g*g)*g)\/(((g\/g**(-8))\/g)\/g)*(g*g\/g**(1\/5))**(-4\/15))**(-23) assuming g is positive.\nAnswer: g**(8303\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, 35, 1, 0, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (210\/4)\/(2\/(-4)). Suppose 0 = 2*n + 3*z + 183, 3*n + 5*z + 373 = -n. Let d be 30\/q + n\/(-14). Calculate the highest common divisor of 49 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82590*f**3*s**2 + 10*f**3*s + 2*f**3 - 4*f**2*s**2 + 69881*f**2*s - 2*s**2 wrt f?\nAnswer: -495540*s**2 + 60*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.567 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)\/(h**(-1\/4)*h))\/(h\/(((h*h*h**(-5))\/h)\/h*h)*h*h**(-6)*h) assuming h is positive.\nAnswer: h**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 2*y - 51*y**3 - 64.\nAnswer: -51*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -8*x - 14. Let r be n(-3). Calculate the highest common divisor of r and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*x - 0*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6, -5, 6, 33, 82, 159, 270, 421?\n\"Answer: n**3 - n**2 - 3*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 - 3*s**2 - s + 1. Let k(q) = -q**3 - 1. Let w(v) = k(v) - t(v). Let z(l) = l**2 - 12*l + 18. Let b be z(10). Give w(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101011100101010110 - -10?\nAnswer: 111101011100101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 830845.2 months in years?\nAnswer: 69237.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2730, -3085, -3462, -3867, -4306?\n\"Answer: -j**3 - 5*j**2 - 333*j - 2391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 3240. Let k(x) = 2*x. What is i(k(j))?\nAnswer: 2*j + 3240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 0*l - 156. Calculate the remainder when l is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 8*f - 18. Suppose -3*h + 1 = -2*h - 5*l, 3*h + 4*l = 22. Suppose -3 = -h*q + 9. Sort q, 1, -3, f in decreasing order.\nAnswer: f, q, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 - -281?\nAnswer: 280.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -361, -2271, -7455, -17551, -34197, -59031?\nAnswer: -93691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -86800278 minus 189?\nAnswer: -86800467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22818951?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 5*j = -70, -3*j = -6*r - 1330 + 1381 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 7*x. Suppose x*m - 3*m + 590 = 4*z, -2*z = -4*m - 306. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(2 - 2 - c) + (5*c + 28*c - 5*c)*(-2 + 1 + 2).\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 381*v - 176. Let u(a) = 76*a - 35. Let k(d) = -2*h(d) + 11*u(d). Suppose x - 3*r - 20 = 0, 55*r - 60*r - 28 = -x. Is k(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z. Let n(o) = -8*o**2. Calculate n(h(b)).\nAnswer: -200*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73185 divided by 119.\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 305, 612, 919, 1226?\nAnswer: 1533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-1*(176\/40)\/(20\/(-25)). Let j(o) be the first derivative of -u*o**2 + 16 + 0*o. Let f(k) = -k. Calculate j(f(t)).\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11*24322316.\nAnswer: -2675454.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10953 - -10956. Sort s, 4, -3, 58, -1.\nAnswer: -3, -1, s, 4, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 524*l**2. Let r(f) = 15*f. What is r(c(d))?\nAnswer: 7860*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12609 and -2.35.\nAnswer: 29631.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28583 is divided by 157.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + s**3 + 7*s - 6 - 3*s**3 + 5*s**2. Let c = -187 + 205. Suppose c = 3*v - 0*v + 2*j, 0 = 5*v + 4*j - 30. What is l(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.014 * -0.0399074\nAnswer: 0.0005587036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/2 - 5)*(20 - 24). Solve 14 = -45*f + d*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 31610279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -341 - 0?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 6:24 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*j - 6\/5*j**2 + 2\/5*j**3.\nAnswer: 2*j**2*(j - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-40)\/(-320) - 766\/(-16). What is the highest common divisor of 72 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -2, 3 in descending order.\nAnswer: 4, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 147971721 and 8.\nAnswer: 1183773768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61 by -1.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/121 and (-4)\/((-16)\/102)*12\/(-66).\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -352 + 350. Sort 3.5, g, -3, 0.5.\nAnswer: -3, g, 0.5, 3.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -591\/8 + 74. Let y = 4.37 - 6.37. Is y equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**4\/13 + 7542*i**3\/13 - 1804636*i**2\/13 - 421680*i = 0.\nAnswer: -3, 0, 260, 3514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 4*v - 107 = 5*b, -b = -5*v + 302. Let a = v - 61. Suppose -3*t = 5*o - 125, -4*t - t + 25 = a. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23815, 23787, 23759, 23731, 23703?\n\"Answer: -28*d + 23843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5287, -5546, -5977, -6580, -7355, -8302, -9421?\nAnswer: -10712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -281*z + 281*z + 2*z**2. Let m(v) be the second derivative of 13*v**3\/2 - 18*v. What is b(m(d))?\nAnswer: 3042*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*110.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 35. Let r be 4\/(-2)*i\/(-8). Let u(q) = 5*q**3 + 0 + 2*q**3 + 5 - 5*q. Let t(b) = -4*b**3 + 3*b - 3. What is r*t(z) - 3*u(z)?\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, k: 3, o: 2, q: 2}. Give prob of sequence bkqo.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 7*k + 12. Does -6 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126) + -3*sqrt(126))\/sqrt(2).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*f + 6*f - 16, -5*a - f = -12. Let q(z) = -z**3 + 10*z**2 - 9*z + 5. Let r be q(9). Solve r*s = a*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 799.7003 weeks to hours.\nAnswer: 134349.6504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.36 - 0.04. Put 4, m, -5 in descending order.\nAnswer: 4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 14.\nAnswer: 31\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 333882 divided by -3?\nAnswer: -111294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 79, 245, 523, 913, 1415?\n\"Answer: 56*k**2 - 2*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/6 - (-1)\/(-3). Suppose -2 + 6 = j*k. Put 3, k, 1 in increasing order.\nAnswer: 1, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 - 85*h - 53. Let z be j(-34). Suppose -2*u - 5*u = -z. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 790, 3211, 7250, 12901, 20158?\nAnswer: 29015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 37*g + 8030.\nAnswer: -(g - 110)*(g + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53159*l**2 + 54810.\nAnswer: 106318*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g. Let v(i) = 4*i + 1. Calculate v(r(k)).\nAnswer: 16*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 717 - 506. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 12*q**2 - 10*q + 4. Let o be z(11). Suppose 3*g = -g + 220. Suppose g - o = 2*b. What is the greatest common factor of b and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 151900 and 18600.\nAnswer: 911400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(-6)*(-58)\/29. Sort 0, h, 1, 5.\nAnswer: h, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Convert -1010001 (base 2) to base 16.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(52)\/sqrt(2))\/sqrt(2).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 9*o**2 - 12*o - 6. What is j(-8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 7:57 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12471 - 12463. What is the remainder when 318 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*j + 41*j - 10*j + (0 - 6 + 4)*(-j + 5*j - 3*j).\nAnswer: 59*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9268 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -889614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 25*s**2 - 153*s + 106. What is o(-31)?\nAnswer: -917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -7\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-1))\/((-5)\/(30\/(-27)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 10:05 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23280973 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**6 - 265*c**5 + 225*c**4 + 3706*c**2 + 3*c - 91?\nAnswer: 240*c**3 - 15900*c**2 + 5400*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**3*g**2 + 12104*c**3 - 43655*c*g**3 - c wrt g?\nAnswer: -4*c**3*g - 130965*c*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-60)*(-2296)\/(-1722).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 18 + 22 = 0. Let u be (h\/(-10))\/((-1)\/(-2)). Suppose -3*w - 3*f + 21 = -u*w, w - 15 = 3*f. What is the remainder when 69 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8030214 (base 9) to base 2.\nAnswer: -10000010010110100011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5160591025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 1\/7, -0.4, 4, 179.\nAnswer: -49, -0.4, 1\/7, 4, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 140059949*0.3\nAnswer: 42017984.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1856, -2, -7, 4 in decreasing order.\nAnswer: 1856, 4, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 - 0.34. Let a = -910.916 + 908. Let p = 0.084 - a. What is the biggest value in z, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**4\/4 - x**3\/3 - x**2\/2 + 15*x + 240. Let c be w(0). Solve 4*j - c = -3*d - 4, d + 9 = 5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**7\/840 + 7*y**4\/12 + 9*y**3\/2 + y. Let j(i) be the second derivative of k(i). What is the derivative of j(c) wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65*l**5 + 29*l**5 - 44*l**5 + (2*l**4 + 4*l**4 - 4*l**4)*(0*l - 2*l + 0*l)*(-4 + 6 + 0) - 4*l**5 + 2*l**5 + 4*l**5.\nAnswer: -86*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 813 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -46*o + 51*o. Is 17 a factor of ((-35)\/(-15 - o))\/(1\/17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -15*h**3 - 377*h**2 - 50*h - 23. Determine a(-25).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0828 + 39781979614.\nAnswer: 39781979614.0828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9888 + -6411. What are the prime factors of n?\nAnswer: 3, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 761070 (base 8) in base 10?\nAnswer: 254520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.1. Let t(d) = 59*d + 944. Let k be t(-16). Which is the nearest to k? (a) 5\/2 (b) q (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 24*c + 1. Let j be (-54)\/(-15) + (-4)\/(-10). Let z be (-3)\/2*j\/(-6). Let n be p(z). Calculate the highest common divisor of 10 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/15)\/y)**(-38) assuming y is positive.\nAnswer: y**(532\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2 + 4*v. Let c(p) = -8*p + 4 + 7*p**2 + 3 - 6. Let n(x) = -2*c(x) - 5*d(x). What is n(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-12))\/(9\/60). Solve j + 0*j - 9 = o*q, -5*j - 15 = 5*q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 + 3*j**2 - 6*j**2 - 11*j**5 + (12*j**3 + 17*j**3 - 6*j**3)*(5 - 5 - 4*j**2).\nAnswer: -103*j**5 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 107.44 (b) 2 (c) -2\/9 (d) -0.2 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2360816 or -2360785?\nAnswer: -2360785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 5, -65?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 426865053 divided by 25109709?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 165*u**3 - 3*u**2 + 3*u - 1. Let t(l) = 2*l**2 + 22*l + 1. Let g be t(-11). What are the prime factors of h(g)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -7. Let s = -0.260796 + 0.160796. What is the smallest value in s, 2, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 500 and 3218720.\nAnswer: 80468000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q + 4*q**3 + 3*q + 0*q**3 + 14*q**3 + 151*q**2 - 151*q**2 - 2*q**3 + q**3 + 2*q**3 + (2*q**3 + 3*q - 3*q)*(-3 + 5 - 1) - q**3 + 0*q**3 + 3*q**3.\nAnswer: 23*q**3 + 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -10 (c) -2\/11 (d) -0.5 (e) -6\/11 (f) -3\/4 (g) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89281 - 89276. Let c(x) = 12 - 4*x + 2*x + x. Determine c(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1450812 is divided by 161200.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -u + 9*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and (-1)\/(-3) - (-609868)\/276?\nAnswer: 11050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -349929\/187 or -1871?\nAnswer: -1871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 39 (b) 4 (c) -281\/31 (d) -0.2 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/198)\/((-10)\/24*12\/(960\/(-16)))?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99) + -2*1*sqrt(99) + sqrt(99)) - 3*sqrt(99)*3)\/(sqrt(81) + sqrt(81) + -3*sqrt(81) + sqrt(54)\/(3*sqrt(6))).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -11*g**4\/24 + 3*g**2. Let r(a) = 7*a**2 - 5*a - 5. Let n(o) = -10*o**2 + 7*o + 7. Let z(j) = -5*n(j) - 7*r(j). Give l(z(t)).\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142 - -144. Let a be u + (0 - 3) + 7. What are the prime factors of (a\/(-3))\/(9\/(-1341))?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*g - 89*g - 62*g.\nAnswer: -199*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4063*g**3 + 326*g - 2952509.\nAnswer: -12189*g**2 + 326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 14411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 0*l**3 + 0*l - 1\/60*l**6 - 1\/20*l**5 + 0 + 0*l**4 - 2*l**2. What is the third derivative of i(d) wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-2) - (-24 - 3132\/(-132))\/((-40)\/(-220))?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 7*l**3 + 3*l**2 - 3*l - 3. Let u(q) = -280*q**3 - 119*q**2 + 119*q + 119. Determine -238*d(f) - 6*u(f).\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 10*i**3 - 2*i**2. Let f(u) = -8*u - 90. Let t be f(-12). Let m be (-184)\/28 + (18\/(-7))\/t. Let z(w) = 31*w**3 - 7*w**2. Determine m*p(n) + 2*z(n).\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -5*b**3\/2 + 26*b**2 + 29*b. Differentiate k(l) wrt l.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1.92. Let w = s - -0.12. Let t = 0.1 + -0.1. Which is the nearest to t? (a) w (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 2*p**4 - 4*p)*(3*p + 2*p - 7*p) + (-2*p + p - 2*p)*(0*p**4 - 2*p**4 + 0*p**4) - p**4 + p**4 - 2*p**5.\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 7*r - 1. Let t be m(5). Let f = -8 + t. Which is greater: f or -1\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, x: 3, b: 3}. Give prob of sequence ob.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**3 + 4*g**2 - 297*g - 4. Let b(z) = 8*z**3 + 11*z**2 - 890*z - 11. Calculate 4*b(m) - 11*q(m).\nAnswer: -m**3 - 293*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 2*n + 9261105, v + 982*n = 978*n + 1852203. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - 42. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*u**5 - 1169*u**4 + 331*u**3 + 194*u**2 - 109799*u.\nAnswer: 900*u**2 - 28056*u + 1986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1373 - -1372. Let g(j) = -3*j**2 - 3*j - 1. Let w be g(-2). Which is the third biggest value? (a) l (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4974 is divided by 508?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -6 - -1 - -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*y + 183944 - 180068 for y.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 7564*k**2 + 2199116*k - 1409685820.\nAnswer: 4*(k - 295)*(k + 1093)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - t. Let z be w(2). Let o = -51 - -59. Let i be o\/6 - 5\/15. Is z less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68.5683 or 1?\nAnswer: -68.5683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/17 + 206*o**3\/17 + 406*o**2\/17 + 202*o\/17.\nAnswer: 2*o*(o + 1)**2*(o + 101)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 21*d**2 - 2*d - 31. Let h be a(-21). Suppose 0 = -h*o + 12*o + 21. What is the common denominator of o and ((-5)\/12)\/(2\/34)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 81 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 15*t**2. Let y(z) be the second derivative of -z**6\/360 - 5*z**3\/3 + 4*z. Let b(k) be the second derivative of y(k). What is b(a(c))?\nAnswer: -225*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2566 - 2083. Calculate the greatest common divisor of 276 and z.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 38899008 and 689.\nAnswer: 38899697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109255 = 35*i - 313370. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-250)\/4875*9*1?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1534742 is divided by 767335?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 + -a0e4?\nAnswer: -a0f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 33*c - 2 + 390224*c**2 + 33*c.\nAnswer: 390224*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 332833265 to the nearest integer?\nAnswer: 18244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**4\/12 - 2162*g**3\/9 - 1168561*g**2\/6 - 369. Suppose w(i) = 0. What is i?\nAnswer: -1081, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gnngcnngnlnncggchnnc. Give prob of picking 1 g, 1 h, 1 c, and 1 n.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 1495*s. Let u(b) = -b**2. Let t(w) = 6*w**2. Let n(r) = -t(r) - 4*u(r). Calculate n(i(x)).\nAnswer: -4470050*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -t - 3*t - t - 1 + 8*t + 3 - 3 + (-t + 0*t + 0*t)*(4 - 3 - 2) - 4*t + 0*t + 5*t as l + f*t and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.121311 years in months?\nAnswer: 25.455732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.8430554s in hours?\nAnswer: 0.0021786265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 - 2 + 1 - 2 + 13*z. Suppose -22*m - 600 = -122*m. Let s be p(m). Which is the closest to -2? (a) s (b) 2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p - 13*p**4 + 2 + 29*p**4 - 17*p**4 in the form t*p**3 + s*p**2 + n*p**4 + i*p + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1660*t + 1661*t - 2*y = -43, 3*t + 4*y = 111 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.625 - -10.625. Which is the nearest to 1\/8? (a) -1\/2 (b) x (c) -124 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 490?\nAnswer: 490.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 >= 256082\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 182f34 (base 16) to base 13\nAnswer: 436551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 a factor of 65523644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 divided by 18?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*g - 402 - 15*g**2 + 1187 - 404 - 391 to the form y*g + m*g**2 + l and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f**2 + 3*f + 1. Let i = -22 + 21. Determine v(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 282 - 419. Let m = y + 152. Suppose 2*z - 18 = 2*f, 0 = -4*z - 2*f + 51 + m. Solve 6*h - 3*h - 4*t = z, -h + 5*t = -23 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 347, 753, 1313?\nAnswer: 2027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*q + 4*n - 186 = 80*q, 558 = 3*q - 3*n. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 2210\/(-225) + 4\/(-10)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, 357, 1043, 2003, 3237, 4745, 6527?\nAnswer: 8583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -723?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4627818 and 2574.\nAnswer: 50905998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1186205308?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 900112773*m**5 + 29326050*m + 10.\nAnswer: 18002255460*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/25252 and 85\/109976?\nAnswer: 11767432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7061472 divided by -22.\nAnswer: -320976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58 and -0.1.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6373516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -416634 times -52?\nAnswer: 21664968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 1, 0, 1\/4, 8\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 103 + (-126 - (-72 - -32))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -725 - -1445. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64 - -60 - 28) + (-11 - (-1 + -4))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 83369ca + -5?\nAnswer: 83369c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + -1 + 1.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2868 rounded to two dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**3 + 9*c**3 - 3*c**3 - 13*c**3 + 7589 - 7589.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1)*(-68)\/(-136))\/(3\/(-220)*-4)\nAnswer: -55\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -5*m - 14, -12 = -2*o - 14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 10007102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(931) + -1) + -3)**2.\nAnswer: -392*sqrt(19) + 14945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**4\/6 + v**3 - 5*v**2\/2 + 34*v. Let g be i(-4). Solve -4 + g = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**4 - 2 - 4*a**2 + 2*a**4 + 2*a**2 + a + 0*a**2 to the form n + u*a**2 + d*a**3 + s*a**4 + c*a and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/((m\/m**(-2\/39))\/m)))\/m)**(-1\/14)\/(m*m*m\/((m*m**6)\/m))**21 assuming m is positive.\nAnswer: m**(34435\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -11*r**6\/60 + 19*r**5\/60 - 1153*r**4\/24 + 717*r**2. Find the second derivative of w(s) wrt s.\nAnswer: -132*s + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 + -60. What is the smallest value in -1, n, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1126*n - 165 = -1121*n, 0 = 3*z - 5*n - 165 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/21 - 4\/(280\/205)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 9*l**2 + 174*l + 91. Give g(-18).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2 + 4*v - 6. Let p be k(7). Does 21 divide ((-2)\/(-4))\/((-3)\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142262 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 - 3.91. Let z = 281 + -850\/3. Let t = 29\/15 + z. Which is the closest to -1? (a) o (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p**2 - p**4 + 5*p**2 + 20*p - 11 + 11*p**3 + 3 - 4*p**3 = 0. What is p?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5574302 to the nearest integer?\nAnswer: 2361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(400))\/sqrt(2).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 6.6. Let w = f + 4.4. Let x = 0.41 - 0.01. Which is the nearest to 2? (a) 3 (b) w (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -3*p**2\/2 - 366. Let r(c) = 25*c**2 + 1. Calculate r(g(t)).\nAnswer: 225*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3875.993201 - -3876. Round w to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from {q: 3, x: 1, b: 5, k: 1, p: 5, u: 5}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*z + 134 = -4*z + 238 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 33*c + 1992. Calculate r(-61).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255618?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 13*w - 91. Let t be p(-18). Sort t, -4, -5, -2.\nAnswer: -5, -4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.2 + -4.8. Let t = 12 + h. Let w = 7.999916 + t. Round w to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 1. Suppose u = -3*a + 22. Let w be ((-3)\/a)\/(2\/(-16)). Solve 0 = c + z + w, -z + 2*z = -2*c - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-17)\/(g*g**36))\/(g*g\/(g\/((g\/g**24)\/g)*g)*g*g\/(g*g**32)))**(42\/11) assuming g is positive.\nAnswer: g**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*-17830.7.\nAnswer: 1069842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -4 + (14 - (4 + -1)) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**6\/255 - 61*b**5\/170 - 63*b**4\/34 - 191*b**3\/51 - 64*b**2\/17 + 95*b - 2. Factor r(h).\nAnswer: 2*(h - 64)*(h + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25520)\/9280 + -1*373\/(-28). Solve 116\/7*p - 16\/7 - 26\/7*p**3 - h*p**2 = 0.\nAnswer: -4, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523 is divided by 339.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14266 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 36774*i. Let g(j) = -2*j**2. Give g(o(p)).\nAnswer: -2704654152*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/17)\/r**3)\/(r**2)**(2\/11) assuming r is positive.\nAnswer: r**(-607\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.5 (b) -5 (c) -37 (d) -1\/3 (e) 0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 3*n**2 + 1. Let j(v) = -v**3 - 2*v**2 - 1. Suppose 1026*m + 1107*m - 20000 = -1867*m. Let f be ((-3)\/(-2))\/((-6)\/(-16)). Give f*s(l) + m*j(l).\nAnswer: -l**3 + 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 335750331 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 v when three letters picked without replacement from {w: 1, v: 2, z: 4, m: 1, j: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/4 + 411*n**2\/4 - 102*n.\nAnswer: -3*n*(n - 136)*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 + o**2 - o - 1. Suppose 0*x - 5*x + 35 = 0. Suppose -x*y = 7 - 0. Let s be u(y). Solve -s*j + v - 10 = 0, -11 + 3 = j - 5*v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34\/11 - -305\/88. Let o = -171.9 + 179.9. Which is the second smallest value? (a) m (b) o (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, y: 1, k: 2, c: 1}. Give prob of sequence yckk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvx. Give prob of sequence xvx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 11. Let h = t - 7. Suppose -5*g = -d - 13, -8*d + 5*d + 5*g = 9. What is the nearest to d in 1\/2, -3\/5, h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2)\/(((-28)\/8)\/(-7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*b + 2 + 64 = 0, k = -2*b - 16. Let c be k*1\/(-7)*49. What is the highest common factor of c and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 1. Let u be f(2). Suppose 0*x + x = -2*b + 25, -5 = -x. What is the remainder when (-1 + 3)\/(u\/(-14)) is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 32500*x - 162625.\nAnswer: 5*(x - 5)*(x + 6505)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -22a?\nAnswer: 22b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0335 and 0.5?\nAnswer: 0.4665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/(-120) + (-17)\/(-6) - 325\/105?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssenenesennn. Give prob of picking 1 e and 1 n.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 0.1, -0.03, 3\/2.\nAnswer: -0.03, 0.1, 3\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 3:56 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 174863627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) -0.1 (c) -1\/107 (d) -1\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -6. Suppose 0 = -w*m - 0*m. Suppose -4*n = m, 0 = x - 3*n - 0*n - 15. Calculate the highest common divisor of 60 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1152*g**3\/11 - 3360*g**2\/11 + 26*g - 6\/11.\nAnswer: -2*(g + 3)*(24*g - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:35 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1)*(22 + -45 + 25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 n, 1 m, and 1 p when four letters picked without replacement from mmnpymnmpmmn?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**3\/3 - 2*c**2\/3 - 544*c\/3 = 0.\nAnswer: -16, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.390163ms in microseconds?\nAnswer: 1390.163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -768 divided by -4\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0, -1\/7, -20 in descending order.\nAnswer: 0, -0.1, -1\/7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 10:52 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 87*z - 1538. Calculate w(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -910935640068.\nAnswer: -910935640064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w + 4*w - 3*w)*(1 + 1 + 0) + 22 - 37 - 4587*w + 16 + 1837*w + 28734*w to the form q + t*w and give t.\nAnswer: 25986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/352 and -15\/123074248.\nAnswer: 492296992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18230 is divided by 174?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v + 22. Let y be ((-65)\/39)\/(((-2)\/(-1))\/(-6)). Suppose 0*p = -y*p - 25. Let n be z(p). Which is the second biggest value? (a) n (b) -4 (c) 2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-26 + 27 - 44)*(5*l - l - l).\nAnswer: 258*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 1. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5475362205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51701 - -159149. What is the third derivative of r*d + 121*d**3 - 14*d**2 + 2 - 107448*d wrt d?\nAnswer: 726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-441)\/(-1470))\/(2\/(-4)) + 49\/65. Which is the smallest value? (a) -9 (b) n (c) -0.2 (d) -2 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2 - 8*v + 7. Let x be i(2). Solve -x = n - 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129235.2 - -164?\nAnswer: -129071.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -675 or -10144\/15?\nAnswer: -10144\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13254\/(-2 + -1)*46\/(-92)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2924)\/(-129) - 22 - (-600)\/18\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + (sqrt(192) + 3*(0 + sqrt(192) - sqrt(192)))**2 + (-1 + sqrt(108) + sqrt(108))*4.\nAnswer: 56*sqrt(3) + 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/503 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5764575*s + 5764585*s - 857 + 246 as p + x*s and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/91 and (-139)\/28 + -3 + (3 - -4)?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvv. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrngnnnfn. Give prob of sequence fn.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = -4*x - a - 10, 0 = -2*x + 4*a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*f**3 + 20*f**3 - 2*f**3 + 2*f**2 - 7*f**3 in the form h + j*f + d*f**2 + t*f**3 and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/6*(2 + 0). Suppose -5 = -f + 2*b - y, 3*b + 6 = 5*f. Solve f = 3*l - 0*l - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108654 divided by 4179\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 180630 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*12*(6090\/(-360))\/29.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4 + 2*(-9)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g + 0*g - 1 + 4*g**2 + g. Let m(k) be the third derivative of 0*k + 0 + 0*k**3 + 1\/60*k**5 + 5*k**2 + 0*k**4. Determine -2*m(z) + v(z).\nAnswer: 2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305499?\nAnswer: 3, 101833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18771350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 - 52. Suppose 5*r - 25 = 0, a = -8*x + 3*x - 3*r + 1380. Let p be (-6)\/8 + (-11)\/((-308)\/x). Solve b + 5 + 1 = 2*c, -b - c + p = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 22*s**2 - s - 31. Suppose 2*x = -2 - 8, 3*g - 3*x = -51. Calculate l(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3123554954+15.337\nAnswer: 3123554969.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -603.9 rounded to the nearest 10?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmhn when four letters picked without replacement from {h: 1, t: 1, n: 1, k: 2, m: 1, g: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*u + 42*u + 8*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5620664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*f - 34, 0 = 5*f - 16 - 9. Let a(h) be the third derivative of h**5\/60 + h**4\/8 + 3*h**3\/2 - 169*h**2. Is a(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 5*r + 36 = 0. Solve 2*y - r*f - 2*f = 15, 0 = -3*f - 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19233\/5 + 3846. Put y, -0.5, 1\/11, 1\/2 in descending order.\nAnswer: 1\/2, 1\/11, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2557, -4279, -6001?\n\"Answer: -1722*s - 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 654687, 1309374, 1964061, 2618748, 3273435, 3928122?\nAnswer: 4582809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 2*a - 2*a - 2*a - 3 in the form h*a + s and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 - -63. Suppose 3*m - w = 9. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -7*p**2 - 51*p - 147. List the prime factors of v(-31).\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.36 + 0.3. Let i = w + 0.36. Let v = 5\/2 - 2. What is the second smallest value in v, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-44)*384\/36?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 8 = -18*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37245843?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12192)\/1397 + (-2 - -1)\/((-8)\/32) + 2.\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 772 - 2119 = -4*c, 0 = -2*c + 2*f + 1448. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/333 + -329\/666. Let a = y + 20\/3. What is the common denominator of (3\/((-27)\/(-102)))\/(-6) and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11533.\nAnswer: 19, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/((sqrt(35) - sqrt(140))\/sqrt(7)))\/(-1*sqrt(98)*3).\nAnswer: sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56807935 is divided by 4733994?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 6:10 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 10) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/26562 and -17\/304.\nAnswer: 212496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4259783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2217*p**3 - 2217*p**3 - 949*p**2 - 2376*p**4 - 821*p**2 wrt p?\nAnswer: -57024*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**3 + 4*y**2 - 4*y**2 + (-253 + 304 - 243)*(-2*y**3 - 3*y**3 + 4*y**3) in the form w + j*y**3 + s*y**2 + t*y and give j.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976795080?\nAnswer: 2, 3, 5, 8139959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 6*f**2 - f - 5. Let i be a(-6). Let n be (-3 + 2 - -6)\/i. Suppose -u + 4 = -0, 20 = -2*y + n*u. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 6)*(6 - 4 - 1)*(6*l - 2*l - 2*l).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 214.8 times 0.43\nAnswer: 92.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1108 - 1108.0513. Is 2\/5 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -8. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 332 - 328. Suppose j*b - l = 537, -2*b + 0*b + 267 = -l. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -28*(3 + (-115)\/20). Let f = b - 65. Calculate the remainder when f is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 2171430.\nAnswer: 2171430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -917*y**2 + 1893*y - 2 wrt y.\nAnswer: -1834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81 - 14 - (7 + 0 - (-4 + 4)) - 4?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*y + 2223 = 0, 6*c - c + 5552 = -2*y. What is c rounded to the nearest 10?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/(-5)*((-182)\/35)\/13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 2*x + 2. Suppose z + 2 = 12. Suppose z*f - 5*f = 10. Let c be s(f). Solve -c*a - 4 = -0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500120.8 milligrams in grams?\nAnswer: 500.1208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1866079.\nAnswer: 829, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Put 27\/8, -10, 1, -0.3, 23 in descending order.\nAnswer: 23, 27\/8, 1, -0.3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*w + 2 - 4 - 66*w.\nAnswer: -17*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (650\/260)\/((-15)\/21)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36614 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -9684303 = -9684310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.09 (b) 2\/3 (c) 1\/6 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 547632479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9)\/6*104\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2518*u + 345. Is j(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2065840470.\nAnswer: 2, 3, 5, 7651261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556640.\nAnswer: 2, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81471210*a**2 + 5254402 wrt a.\nAnswer: -162942420*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 56*p = -224. Solve -20*i + 48 = p*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 9. Suppose -5*t + 8 = 5*w - 3*w, -4*w + 16 = 5*t. Let x be n(w). Solve 3*q + x = 2*a, -4*q - a = -4*a + 19 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 269 + -265. Put 5, -4, 105, d in decreasing order.\nAnswer: 105, 5, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -380734186 divided by -20006?\nAnswer: 19031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 240, -58, 5, -4 in decreasing order.\nAnswer: 240, 73, 5, -4, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9 - 7.7. Let x = j + 11. Round x to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 - -42. Suppose 41 = -11*p + 107. Let j(y) = -6*y**2 - 6*y + 6. Let o(u) = -u + 1. Give k*j(m) + p*o(m).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*x + 4*y, 0 = 4*x - 3*y + 4 - 6. Let m(j) = -4*j**2 + j**2 + 0*j**2 + 4*j**x. Let l(i) = 2*i. What is m(l(d))?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -3. Let s(g) = -11*g - g**3 + 14*g + 0 - 5*g + 5*g**2 - 2. What is the least common multiple of s(3) and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 a when three letters picked without replacement from affafffffafafaff.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 18283932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -10. Let n be ((-3)\/1 - -2)\/h. Which is the biggest value? (a) -0.2 (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234217580.\nAnswer: 2, 5, 73, 160423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 2*j**3\/3 + 25*j**2\/2 - j. Let l(k) = -k**3 + 41*k**2 - 40*k + 20. Let q be l(40). What is the hundreds digit of h(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8802110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 2 - -3)\/(-2). Suppose o = -h - 2*s + 5 + 10, 10 = -3*h + 5*s. Let z(a) = 0*a + 3*a - h*a. Let n(m) = 5*m**2. Give z(n(q)).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 135793, -0.2, -5 in ascending order.\nAnswer: -5, -0.2, 135793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1 + -4*(3*sqrt(637) - sqrt(637)))*1)**2 + -4.\nAnswer: 112*sqrt(13) + 40764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**3\/7 - 136522*w**2\/7 + 546075*w\/7 - 409554\/7 = 0.\nAnswer: 1, 3, 136518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 39\/(-9)*(-8 + 2 + 0). Find the second derivative of q*r**4 - r + 24*r**4 - 16*r**4 wrt r.\nAnswer: 408*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - -32 - (1 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 0*g + 4\/115*g**5 + 27 - 4\/69*g**3 + 1\/69*g**6 - 1\/23*g**2 + 0*g**4. Suppose h(z) = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/3)\/((-158)\/1185). Let g(j) = -6*j**3 - 4*j**2 - 11*j - 5. Let i(l) = 9*l**3 + 6*l**2 + 17*l + 8. Give s*i(b) - 8*g(b).\nAnswer: 3*b**3 + 2*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.54 times 2.0908?\nAnswer: 28.309432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5763 + 12592*q**3 - 5763 - 12588*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.045 and -3529.\nAnswer: -3528.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 79266*m**2 + m - 1. List the prime factors of n(-1).\nAnswer: 2, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10171786, 10171803, 10171832, 10171873, 10171926, 10171991?\n\"Answer: 6*b**2 - b + 10171781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.278962 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**8\/420 - b**7\/210 + b**6\/90 + b**5\/30 + b**3\/3 + 7. Let i(k) be the third derivative of h(k). Factor i(s).\nAnswer: -4*s*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*t + 467, 2*n + 4*t + 2440 = 7*n. Suppose 4*c = -2*c + n. Suppose 2*s = -4 + c. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -22. Let x = a + -1. Is 3\/43 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.41, -1\/53, -461?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -405 + 401. Suppose -3*u - 15 = -8*u. Let i(q) = -3*q**2 + 2*q - 4. Let a(g) = 2*g**2 - g + 2. Let y(n) = u*i(n) + 5*a(n). Give y(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(16\/(-20) - 0). Let i be (-29)\/(-2) + (-6)\/d. Suppose 0 = 4*q + i - 1. What is the third smallest value in q, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -55922*a - 17. Let j be m(-3). Let o = j - 112749. What is o rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 + 20*i**2 + 22*i**2.\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 667*t.\nAnswer: 667*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*n**4 + 304*n**3 - 300*n**2 - 712*n - 128 = 0. Calculate n.\nAnswer: -16, -1, -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 671483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(175) + -2)*-4*-4 + sqrt(175) + -3*(0 + sqrt(175)) + (sqrt(175) - (sqrt(175) - 3*(sqrt(175) + -1)) - sqrt(175)) + -3))**2.\nAnswer: -54720*sqrt(7) + 416196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -62. What are the prime factors of a?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29736435 by 9912145.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -3, 11, 0.1, -9?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10022203 (base 4) to base 8\nAnswer: 41243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 10430 = -8*h + 4*s, 0 = -2*h + 3*s + 2616. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -149, -698, -1247, -1796, -2345, -2894?\n\"Answer: -549*q + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -268 + 304. What is the tens digit of (-1)\/((-4)\/3138) + (-18)\/g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85 divided by 59619\nAnswer: 5\/3507","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 - 0.4. Let t = -184\/165 + 14\/15. What is the closest to -2\/5 in 2, u, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l + 6. Let u = -44 + 46. Calculate the lowest common multiple of 2 and g(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38196 by 6.\nAnswer: -6366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2 - 7. Let r = m - 5. Let c = -40 - -40. Solve c = -r*t + 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 362444 and 1812220?\nAnswer: 1812220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = 37 - 7. Let u be -1001*(-3)\/(-501) - -3 - v. Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 595021?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -71364608900 rounded to the nearest 1000000?\nAnswer: -71365000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6336 by 48.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8)\/(-517 - -520)*(-52)\/3.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 76 = 3*k, -55 = 3*k - 5*k - 5*c. Find the second derivative of -198*m + 84*m**3 - 36*m**3 - 34*m**4 - k*m**3 - 25*m**3 wrt m.\nAnswer: -408*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.9, -12212, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + 2*h + 3*h**3 - 4*h**3 to m*h**2 + n + c*h + o*h**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neprnptpetrd. Give prob of sequence pn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.049, 0.023, -2?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/11 - 7552*w\/11 + 37710\/11.\nAnswer: 2*(w - 3771)*(w - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 28588, 57178, 85768?\n\"Answer: 28590*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -47. Calculate the remainder when p is divided by 2*((-6)\/(-4) - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 1753?\nAnswer: 5259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 37548685 + 3728258\nAnswer: 41276943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence val when three letters picked without replacement from {j: 3, g: 4, v: 1, l: 1, w: 1, a: 2}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = t - 45. Suppose -99 = -11*f - t. Suppose -4\/7*x + 10\/7*x**2 - 10\/7*x**f + 4\/7*x**5 + 0 + 0*x**3 = 0. What is x?\nAnswer: -1, 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 6*s**2 - 5*s + 5. Let f be y(5). Let h = 8 - 6. Let l(w) = 3*w + h*w**2 - 3 + 4*w - 3*w**2. Give l(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17215569.\nAnswer: 3, 7, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 27. Let t be o(-12). Let x be (-87)\/(-9) + (-2)\/(-6). Suppose -x = -2*a - i - i, 3*a - i = 15. Solve 0 = -0*p + a*p - t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11238952, 11238950, 11238948, 11238946?\nAnswer: 11238944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*j + 2237*j = -1115*j - 5907 - 5415 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 12. Let d be t(9). Let x = 0 + d. Suppose -13 = y - x*k, -31 = -3*y - 3*k - 2*k. Solve -3*p - y = 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*g = -4*u + 8, 4 = -g. Let d be ((3 - 4)*1)\/u. Which is smaller: 1\/19 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 4 - (-3 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 68 - 38 - 30 - d. Let v(c) = -c + 9*c + 7*c. What is v(m(q))?\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585004?\nAnswer: 2, 7, 17, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(144) + sqrt(144)*2 + sqrt(144) + sqrt(36) + sqrt(36))\/sqrt(2))\/((4*-1*sqrt(24))\/(2*sqrt(64))))**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -594 - 340 - 4*x - 877.\nAnswer: -4*x - 1811","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 98*c - 931. Let b be n(-9). Solve 5*h + 7*t = -b, -20 = 3*h + 8*t - 3*t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 27*d + 245. Determine k(12).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a millimeter in micrometers?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 674.9 - 591. Let z = k + -77. Let p = -4.8 + z. Round p to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14037533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4256*v = -5398*v + 46822 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 1)*(5 + 3 - 4)*(3*h - 3*h - 2*h)*(-32 - 37*h + 32) to the form x + p*h + m*h**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2113.4 - -1920.9. What is j rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 7*d**2 - 7*d + 6. What is the remainder when 272 is divided by c(-7)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s**3 - 104*s**2 + 206*s**2 - 102*s**2.\nAnswer: 13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 47 (b) -9 (c) 0.09 (d) -185 (e) -1\/2 (f) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**2 - 37*g - 62. Let h be v(9). Solve -6*o - 32 = h*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1154*p - 144 = -5*l + 1156*p, -l + 36 = 2*p for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 139 + 281 = 0. Let d be (60\/14)\/((-4)\/u). Let j = d - -135. What is the highest common factor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1, 0.23, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 446364.8 litres in millilitres?\nAnswer: 446364800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 70.89797l?\nAnswer: 70897.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 34084 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 0*g**2 + 0*g - 10 - 1\/3*g**3. Let n(a) = -51*a**2. Calculate v(n(m)).\nAnswer: -2601*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88885070, -88885068, -88885066, -88885064, -88885062, -88885060?\nAnswer: -88885058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-12) + 53\/3. Let v = i - 3. Calculate the common denominator of v and ((-648)\/128)\/27*(-350)\/(-42).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1065)\/6)\/(4\/(-8)). Let s = k + -253. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a + 66 = 58*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1156080, 1155493, 1154906, 1154319, 1153732, 1153145?\n\"Answer: -587*m + 1156667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/18)\/(55\/15 - 4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 4*x. Let p = 5 - 3. Calculate the lowest common multiple of h(p) and (-4425)\/(-649) - (-4)\/22.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 112*q - 49*q - 3717. Let n = -79 - -52. Let v = q + n. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -33*r + 22. List the prime factors of m(-4).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002 + -22122223103?\nAnswer: -22122222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*w - 261*w + 1051*w - 266*w - 267*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -54, -118, -206?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-45)\/390*-13*(-2)\/15. Put 3, b, 2 in descending order.\nAnswer: 3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37730 and 169785?\nAnswer: 339570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2071 and 327?\nAnswer: 6213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2041 - 632 = 0. What is the highest common divisor of 81 and x?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/2, 1\/2, -1\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 45*s + 249. What is the remainder when 380 is divided by n(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**6\/180 + y**5\/15 - 11*y**4\/36 + 2*y**3\/3 - 15*y**2 - 9*y. Factor s(v).\nAnswer: -2*(v - 3)*(v - 2)*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 1\/10*i**5 + 0 + 469\/24*i**6 + 1\/6*i**4 + 0*i**3 - i**2 + 0*i. Let n be w(-4). What is n rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (1*3 - (7782509 + -3)). Let k be (q\/66)\/((-3)\/(-36)). Round k to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -7. Let d = b - -3. Let y = 0.2 + d. What is the biggest value in -5, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 + 195?\nAnswer: 194.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68)*2 + -4))**2 - (sqrt(68)*2 + -4 + sqrt(68) - sqrt(68))**2 - 6*((sqrt(68) + -1)**2 + 1))*-6.\nAnswer: -240*sqrt(17) + 3744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*k + 11 + 1 = 0, -5*f + 28 = 4*k. Let p(d) = -f - 2 + 4 - 5*d. Let n(o) = 6*o - 2 + 9*o - 19*o. What is -7*n(v) + 6*p(v)?\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 506 - 2528\/5. Factor -u*r + 2\/5*r**2 - 4\/5.\nAnswer: 2*(r - 2)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19636.4 and -405541.\nAnswer: -425177.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 4, -0.6, -7, 0.12, -0.2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d05a (base 16) in base 9?\nAnswer: 81144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/((-4)\/(-2)))\/(38\/19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3152 is divided by 1049.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14061 is divided by 4682?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 650.99 - 645. What is o rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - m - 1. Let x = -27 - -31. Determine a(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 7 = -2*j, -3*j + 3*s = -4 + 7. Let g be 1*(2 - 2)\/j. Let b be 1 + 0 + 2\/1. Solve -2*d + g*v = -4*v + 2, -5*d + b = -2*v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*d - 4*c, -d + 5843*c - 5838*c + 9 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 161733647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 2\/917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 6:29 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g. Let h(k) = 31*k. Let q(r) = 7*r. Let i(l) = -h(l) + 2*q(l). Determine d(i(y)).\nAnswer: 68*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(448))**2*-4 + sqrt(448) + (sqrt(448) - (-5 + 2*sqrt(448))) - -2*((-4*sqrt(448))**2 + -3))*2.\nAnswer: 25086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbvbbbvbbjbbj. What is prob of sequence vfjb?\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*j**3 + 2468*c*j**2 + 13*c*j - 536730*c wrt j.\nAnswer: 3*c*j**2 + 4936*c*j + 13*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-5\/13)\/v*v)\/v)**(-1\/23))**14 assuming v is positive.\nAnswer: v**(252\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -57*v**3 + 33*v**3 + 15*v + 70*v**2 + 79*v**3 = 0.\nAnswer: -1, -3\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w - 3. Let t be u(-2). Suppose 5*x - 80 = -t*j, -j + 83 = 5*x + 3*j. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27615 - -28056. What is the lowest common multiple of b and 2597?\nAnswer: 23373","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, c: 1, a: 3, i: 1, g: 3, d: 3}. What is prob of sequence dz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + -2)*1 + 1. Let j be 2 - 0 - -2 - 4. Sort i, 3, j in decreasing order.\nAnswer: 3, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -3 (b) -1\/2 (c) -5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6338 is divided by 154?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5, -2*x - r - 83 = 2*x. Let z = -2 - -1.9. Let m = -2511 + 2511.1. What is the third smallest value in -1, z, x, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-1 + 2 + 7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-w + 5 - 5) + 5*w - 2*w - w + 0*w - 2*w + 8*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958477237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-6)*45\/(-150))\/(120\/(-450)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 83. Let t(y) = f*y + 23*y - 55*y. Let d(c) = 5*c**2. Determine d(t(u)).\nAnswer: 245*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.8 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 14*t - 2*t = -100 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**5\/20 - w**4\/3 + 7*w**3\/6 - 2*w**2 - 6*w. What is the remainder when f(-7) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/24417 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -741 - -741.1804. Let f = o - 0.1004. Let z be 10\/(-8) - 3\/(-12). Which is smaller: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 + -15 + (-1 - -11) + -1 + 3 is divided by 150?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/(-12) - 6\/(-24) and 38\/43.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-58)\/(-5) + (-6)\/(-15). Let u be -2 - -9*(-3 + (-28)\/(-12)). Let l be (4\/(-6))\/(-3 - u\/3). Calculate the greatest common divisor of l and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**4 + u + 5*u**2 - 15 + 6 + 7 to i*u**2 + c + j*u**3 + d*u**4 + f*u and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112607*w - 784890 = 122297*w for w.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000001010 - -10010100110011?\nAnswer: 1111100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -3 + (57 - 38).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1843 to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -45*o - 8. Let g(h) = -30*h - 5. Calculate 8*g(t) - 5*r(t).\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1176 + 1171. Let o(t) = -t**3 + t. Let m(v) = 3*v**3 - 5*v - 2. Let u(i) = -5 - 3*i - 8*i**2 + 9*i**2 + 4. Let g be u(3). What is g*m(d) + k*o(d)?\nAnswer: 2*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 222147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 + -54. Suppose i - x*r = -3*i + 135, -4*i + 153 = 3*r. What is the lowest common multiple of i and 2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -30. Let l = u - -1. List the prime factors of 0 - l*1\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeetettttttettkete. What is prob of picking 4 e?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*p + 571, 461 = 28*p - 24*p + q. Calculate the remainder when 2456 is divided by p.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57568 divided by -4?\nAnswer: 14392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7750 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113652.\nAnswer: 2, 3, 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40850 divided by -2150.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -25*x. Let t be r(-1). Suppose m = 6*m - t. Let s(c) = 11*c + 37. Let d be s(-3). Solve -m*h - d = -3*j, 3*h = 5*j - 0*j + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*90\/15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/54 and 41\/60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 + -32. Suppose -q + 6 = 3, 0 = -3*o + 2*q + j. What is the remainder when 49 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**1*a))**(4\/9)\/(a**(-4\/13)\/a**(-6\/11))*((a*a*(a\/a**(3\/2))\/a*a)\/(a**(3\/5)*a))**(3\/2) assuming a is positive.\nAnswer: a**(-21421\/25740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.434 and 92836?\nAnswer: 40290.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**4\/12 + t**3\/2 - 2*t. Let q be m(-4). Differentiate 3 - 3 + q - 4*i wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 15. What is the units digit of 1479\/27 + z\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111957 and 603?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*b + b**3 + 20*b + 7*b + b**3 to d*b**2 + g + v*b + j*b**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 3\/4, -6, -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 13\/84 (b) 22 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -6.054 and -818006118.\nAnswer: -818006124.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37839849.\nAnswer: 3, 19, 663857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 12*q**2 - 10*q - 4. Let l be g(-11). Let m be -14*(4 + l\/(-6)). Round m to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 239250.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**3 + 6*l. Let j(a) = -2*a**3 + 5*a**2 - 10*a + 2. Let w be j(2). Let g be 4 + 7\/(-2 - -9). Let d(c) = 2*c**3 + 2*c. Determine g*o(k) + w*d(k).\nAnswer: 2*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j - 2*j**2)*(0*j**2 + 2*j**2 - 3*j**2) - 343*j**4 - 994*j**4 - 793*j**4.\nAnswer: -2128*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163 + i**2 + 80 + 83.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120.03 - 121. Let g = 0.03 - y. Let c = 1.6044 + -2.1044. What is the nearest to g in -2\/9, -3, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/70 and -97\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9}. What is prob of sequence ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t**2 - 643*t + 2633. What is w(-132)?\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - -1)\/((-1)\/17 - 0). Let y = 87 + r. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/12)\/((-3)\/(-8)). Suppose -81 = -k*q + q. Find the common denominator of q and -5\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 1\/(12\/150*35\/14). Solve -t*g + 26 = -2*g - 5*i, i + 4 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13339061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 15*v**2 - 33*v + 10 - 7*v + 10*v + v**2 + 7*v**2. Let s be g(14). What is the highest common divisor of 26 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*k + 22. Let l(u) = -8*u + 42. Let c be (-30)\/(-25)*5 + -3. Let i be l(c). Calculate the highest common divisor of k and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11620.99995 - -11631. Let g = f - 10. Round g to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82039475 and 3675?\nAnswer: 246118425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 5. Suppose -89 + i = -2*x. Calculate the remainder when ((-38410)\/690)\/((-3)\/9) is divided by x.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 4. Let c be r(3). Let p(a) = 4*a + 8. Let x(d) = -d - 1. Let w(m) = -p(m) - 3*x(m). What is the units digit of w(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*o + 94*o = 4*p - 32 - 35, 4*o + 85 = 5*p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 213*h**3 - 241*h**2 + 6*h + 3. Let s(g) = -213*g**3 + 243*g**2 - 8*g - 4. Let y(z) = 4*i(z) + 3*s(z). What is the third derivative of y(r) wrt r?\nAnswer: 1278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/((8\/48)\/(1\/15)). What is the common denominator of 137\/4*(0 - w\/(-36)) and 59\/90?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148531467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10749 - 5971. What is the thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.3 and -2622209835490.\nAnswer: -2622209835488.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*w**4 - 223\/2*w**2 + 12*w**3 - 45 + 267\/2*w.\nAnswer: (w - 2)*(w + 5)*(4*w - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -1, 86, 5 in increasing order.\nAnswer: -1, 5, 16, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -40, -4 in decreasing order.\nAnswer: 7, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from {m: 1, s: 2, k: 2, z: 6, b: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 782 + -774. Solve -c*a + 5*a - q = -2, a - 5*q = 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786937700?\nAnswer: 2, 5, 179, 43963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -557*x + 50006. Calculate n(106).\nAnswer: -9036","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 250*z - 40 wrt z?\nAnswer: 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/6 + 2\/(-1) and -5 + 3 + 484\/40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (358377\/(-112432))\/((-2)\/32)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -729.41 - -725. Let t = 2.41 + u. Let g = 16 + -11. Put t, -1, g in descending order.\nAnswer: g, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -16*n**2 + 27*n**2 + 8*n - 4 - 12*n**2. What is h(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 2*r**2 + 19*r - 20. Let d be x(5). Suppose 9*g + 26*g + 2660 = d. Suppose -241 = -5*z - 616. Is z at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f - 12. Let i be g(-8). Let r = -30 - -28. Is i\/35*(-685)\/r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11092155, 11092156, 11092157?\nAnswer: 11092158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1270)\/4 - -1)*(12 - -16). Let r = 124143\/14 + p. Find the common denominator of 115\/126 and r.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j. Let b(o) = -3*o**2 + 129. What is b(f(a))?\nAnswer: -12*a**2 + 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*q**2 - 14*q**3 + 32*q**3 - 16*q**3.\nAnswer: 2*q**3 - 97*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = q + 3*q. Let s(r) = r**2 - 7*r - 7. Is s(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 37, 30, 21, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1301793134.\nAnswer: 2, 650896567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3 - 2*f**3 + 3*f**3 - 2191*f**2 + 2183*f**2 + 9*f = 0. Calculate f.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69610, 69621, 69632?\nAnswer: 69643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 + 46. Let d be (h\/10 + 1)\/(5\/(-25)). Suppose -3*l + d = 0, -z - 4*l + 24 = -41. Calculate the highest common factor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (285 - 93 - 1022)*(-2*n + 2*n - 2*n) to c*n + z and give c.\nAnswer: 1660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -28202*o**2. Let i(l) = 979*l**2. What is w(i(h))?\nAnswer: -27029953082*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 - -118. Does 20 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/3*(-2 + 3). Suppose 4*z + z - 1055 = c. Let v = z - 102. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 12:49 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -64 + (4 - (-117 + 47))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3387386.\nAnswer: 2, 17, 67, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 165 - 828\/5. Let u = 1\/1084 + 1077\/7588. What is the fourth smallest value in 0.33, -4, u, r?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -127 + 247. Solve 0 = u*i - 29*i + 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((206\/(-6))\/(2820\/8460))\/1?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -543920 by -20920.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k**2 - 16. Let y(o) = 5 - 3 - 2 + 1. Let u = 4 + -3. Let f(t) = u*n(t) + 5*y(t). Differentiate f(z) with respect to z.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-6) + 3\/6. Suppose m = -d - 2*d + 15. Let o = 8 - d. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26015034.\nAnswer: 2, 3, 211, 20549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 230\/92*3\/((-6)\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 - 2.6. Let m be 1 - (11\/9 - 0). Which is the closest to 1? (a) q (b) -0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 128\/21. Let a = -2.11 + 0.11. What is the nearest to 1 in a, -3\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*u**6 + 8*u**5 - 621*u**3 - u**2 - 83152.\nAnswer: -480*u**3 + 480*u**2 - 3726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from qoqoqooooq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 6479984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533*b + 524*b = 108 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.3*-1017726.\nAnswer: -3358495.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) 106 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + 104. Which is greater: q or 137?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 3*f - 2*f)*(-4 + 1 + 2 + (0 + 2 - 4)*(-5 + 2 + 1)) + (f - 3*f + f)*(-5 + 5 + 3).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 + 10*j**2 - 44*j**2 + 14835*j - 14843*j as o + y*j + r*j**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 4321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6056 + -6028. Solve 0 = -2*u - 32 + f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2399666*n**3*t + 38*n**3 - 2*n**2*t + 17*n**2 - 9*n*t + 51*n - 2*t + 1 wrt n?\nAnswer: -14397996*t + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/15, -22\/205 in decreasing order.\nAnswer: -22\/205, -2\/15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 68 = 3*h + 1, -297 = 2*a - 13*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/245 and -44\/120060045?\nAnswer: 120060045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**6\/30 - k**4\/8 - 2*k**2 + k. Let o(z) be the first derivative of n(z). What is the second derivative of o(q) wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 9:33 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5526077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*g**2 + 2*g - g**2 - 2*g + (2*g**2 + 0*g**2 + 0*g**2)*(-1 + 1 - 1) + 5*g + g**2 - 5*g - 2*g**2 + 2 - 2 - 2949*g**2 - 2964*g**2 - 2 + 6192*g**2.\nAnswer: 273*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-90 - -48) + 40 + -7 + 21 + 0\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1144*d**2 + 3 - 3.\nAnswer: -1144*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -296*c**3\/3 - 429*c**2\/2 + 960. Find the second derivative of y(u) wrt u.\nAnswer: -592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0.4. Let p = 1318 + -3952\/3. What is the nearest to p in -4, h, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1474145 or -1474181?\nAnswer: -1474145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.79851 millimeters in nanometers?\nAnswer: 60798510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6) + 74\/6. Suppose 10 - 6 = n. Solve -q - n = -4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -970402*a*x**3 + 87*x**3 - 404*x**2 + 4 wrt a.\nAnswer: -970402*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 366512957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*m**3 + 99*m - 99*m)*(-5 + 5 + 11 + m**2).\nAnswer: -10*m**5 - 110*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16\/148605 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 193930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2518?\nAnswer: 2, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 + 13*s**2 - 7*s + 14. Calculate u(7).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2236)\/(-28) + (-17)\/(-119)*99 + -14?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 130?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -21533 (base 7) to base 10\nAnswer: -5414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 43654*z**2 + 3 - 43661*z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639462651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, l: 18}. Give prob of picking 2 p and 1 l.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 0.03 (c) -25 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*d = d - 8, -5*f + 3*d - 20 = 0. Let k = 9 - f. What is the first derivative of -10 + 1 + 13 + 1 - k*s**3 wrt s?\nAnswer: -39*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccvvazc. Give prob of sequence azv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/9*-2)\/((7990\/1551)\/85).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8944 by -2.\nAnswer: -4472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 264798\/7 at most as big as 37827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-2*r - 5*r + 5*r) + 16500 - 16500 - 537*r + 1 - r - 1.\nAnswer: -540*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 885 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-116)\/(-87)*(162\/(-16))\/9. Which is the nearest to r? (a) -10 (b) 70 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -1\/234688726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7 + 9*m - 4*m - 4*m + m. Let v be q(7). Suppose 10*x = 33 + v. Which is smaller: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**3\/3 + 7*r**2\/2 + 2*r - 24. What is m(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = n + 365. Is 73 not equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -14*w - 296 + 46, -w = -2*f + 23 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 - 50210414.\nAnswer: -50210413.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -5*u**2\/2 - 4*u - 2. Let i(s) = -6*s - 1. Let v(g) = 6*g. Let r(c) = 5*i(c) + 4*v(c). Calculate -4*p(b) + 3*r(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 18 - 24) + 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mosg when four letters picked without replacement from {o: 1, s: 5, g: 1, m: 2}?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61374689?\nAnswer: 53, 739, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 + -77. Sort 5, -71, 3, w in descending order.\nAnswer: 5, 3, w, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -3*n**4\/4 + 109*n**3 + 168*n**2 - 660*n - 8533. Factor d(l).\nAnswer: -3*(l - 110)*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2918 = -20*z - 54*z - 254. Solve -35*f - f = z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111011001010110011100 (base 2) to base 9.\nAnswer: -12477078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66625254 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3 - 5 - 2*h - 24*h**3 + 23*h**3. Let t(i) = 6*i**3 + i**2 + 11*i + 11. Determine 2*t(z) + 11*x(z).\nAnswer: z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*(-180)\/(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18181a8 (base 11) to base 12\nAnswer: -1049709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 28 = 40. Solve 12 + b = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - d + 438 = 0, -3*i + d + 1312 = -6. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2045.\nAnswer: 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.8, 1\/5, 1?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0669 (b) 4527 (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5279 divided by 842?\nAnswer: 5279\/842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 100\/5 - (2 + 2). Let l(f) = -f**3 - 3*f**2 - 3*f - 3. Let h(w) be the first derivative of w**4 + 16*w**3\/3 + 8*w**2 + 16*w + 75. Give g*l(s) + 3*h(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6360445 and 101920?\nAnswer: 3185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 60*t - 103. Let x be g(16). Let i(v) = x - 429 - 428 + 95*v**2. Let k(o) = 2*o. Calculate k(i(m)).\nAnswer: 190*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400) + -4*sqrt(400))*-4)\/(sqrt(242)*4*-2).\nAnswer: -15*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600*m - 158472795 = 956309375 - 9789770. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3412 + 1312?\nAnswer: 10224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85 - -109) + (-43 - 66).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**5\/12 - a**4\/24 - 2*a**2. Let t be f(-2). What are the prime factors of (-194)\/t - 4\/(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218 - 1365587699.\nAnswer: -1365587481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a factor of 44890560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmccccqcncqccwnc. Give prob of picking 1 w and 1 m.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-5)*19\/(-38).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144504852, -144504854, -144504858, -144504864, -144504872, -144504882, -144504894?\nAnswer: -144504908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1504 and 8.\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3050 take away -1.7756?\nAnswer: 3051.7756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 9 = -3*q, -102*f - 4*q = -105*f + 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11 - 11 - (-1 + -7*1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3, -1\/12, -2\/473715 in descending order.\nAnswer: -2\/473715, -1\/12, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 820*a - 817*a - 18 = 0. Suppose -a*o + o - 130 = -4*g, 0 = -4*g - 2*o + 144. Calculate the highest common factor of 45 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 1. Let r(f) = f**2 - 24*f + 135. Let w be r(17). Suppose x - 39*j + 43*j = -w, -20 = -2*x + 5*j. Solve x = z*t - t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 3*w**2 - 38*w - 68. Let a be x(-7). Solve d = -3*t + 6, -4 = -a*t - 27*d + 31*d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49163 + -139?\nAnswer: -4929c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 15. Let z be m(12). Let a(d) = -d**3 - 4*d**2 - d - 1. Let x be a(-4). Let q be (x\/16)\/((-3)\/2). What is the nearest to 1\/2 in 1\/3, z, q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**2 + 3*w + 1. Let q = 4 - 0. Suppose 115 = q*s - y, 4*s = -y + 3*y + 118. What is the remainder when s is divided by x(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqyyqg. What is prob of sequence gqc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)*1)\/sqrt(10) + sqrt(54)\/sqrt(3) - -3*sqrt(10)\/sqrt(5)*-6)**2.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -135 (c) -32\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8730.594 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -0.08, 94, -2.42?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/(-4) + -2)*16\/12. Suppose -b + g = -17, -d*b + 3*g + 24 = -15. Suppose -16 = -3*z + 20. What is the least common multiple of z and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136424271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.1. Let j = 291 - 296. Let u = j - i. Which is the third smallest value? (a) -3 (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 175, 0.0146, 3, 2\/3, 4 in ascending order.\nAnswer: 0.0146, 2\/3, 3, 4, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) 10\/11 (c) 2\/5 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 1 - 6\/30)\/((-29)\/29). What is the fifth smallest value in 0, 51, 4, 0.5, l?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38631\/2 equal to 19316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**2 - d - 2. Let a(c) = 14*c**2 + 2*c + 5. Let w(r) = -r**3 + 40*r**2 + 84*r + 8. Let q be w(42). Calculate q*v(p) + 3*a(p).\nAnswer: 2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) -2\/11 (c) -20\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -56206, -112454, -168700, -224944, -281186?\n\"Answer: z**2 - 56251*z + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v**2 + 41*v - 25*v - 16*v - 11*v**2. Let z(l) = -271*l**2. Determine z(x(b)).\nAnswer: -9756*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + 2*n**3 + 0*n**3)*(n**2 + n**2 - n**2) + 2*n**5 + 2 - 2.\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Let l(y) = y**3 - 3*y**2 + 4*y + 1. Let n be l(i). What is the third smallest value in n, 0.1, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, q: 2, b: 2}. What is prob of sequence qq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000031337 rounded to six dps?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(832))**2 + 2.\nAnswer: 48*sqrt(13) + 843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -32*i**2 - 2*i + 202. Let s(f) = 99*f**2 + 7*f - 606. Calculate -13*g(d) - 4*s(d).\nAnswer: 20*d**2 - 2*d - 202","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*z + 9*z - 32*z + 7*z to w + j*z and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 14. Suppose 4*y + 5*j - 46 = 2*j, -31 = -3*y - c*j. What is the remainder when (-3)\/15 + (-232)\/(-10) is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.16054 to two decimal places.\nAnswer: -66.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3314 - 43*d + 70*d - 998 + 371.\nAnswer: 27*d + 2687","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-36)*16\/36 - 192\/612?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9430 + 2527 - 4403 + 2304 - 7841)*(0*g**3 + 2*g**3 + 0*g**3).\nAnswer: -33686*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -85*x**3 - 2*x**2 - 2*x. Let w(r) = -2*r**2 - 16*r - 1. Let o be w(-8). List the prime factors of a(o).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.9 + 2354.\nAnswer: 2356.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 338452259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-2)*g*g\/(g*g\/((g\/(g\/((g\/(g**(1\/3)*g*g))\/g*g)))\/g))*g*g)**40\/((g**(-2\/3))**45*(g**(2\/3)\/g*g)**33) assuming g is positive.\nAnswer: g**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l = 135. Let c = l - -269. Does 39 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 1:10 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s - 4*w = 20*s - 5780, -s = 3*w + 1461. Let m = 5797\/4 + s. Find q, given that -q**3 + 1\/2*q**2 + q - 3\/4 + m*q**4 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/102 and (-507)\/3663 - (-12)\/33?\nAnswer: 3774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 5:03 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/27*((-9)\/(-6) + -3). Which is the nearest to -1\/3? (a) q (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2 = p. Solve 3*s + 11 - p = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-108)\/22)\/(-88*63\/(-40656))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 6)*(2*z + 11*z - z + (2 + 3 - 25)*(z + 0 + 0) - 3*z + 3*z + 3*z).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -10.863.\nAnswer: -5.4315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - -11 - -5) + (8 - -4) + 13 - 79?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.2 + 11.8. What is r rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -215 - -214.99909. Round n to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44587\/14598 + -1\/811. What is the common denominator of -13\/180 and q?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 1 + 0 + x - 2. Let k(b) = -2*b**2 + 4*b - 6. Let p(j) = 6*h(j) - k(j). Factor p(g).\nAnswer: 2*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 928083 by -309361.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 2555182949?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 1a1?\nAnswer: -1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c - 3*c**3 + 6*c**3 - 1 + 2*c**3 + 3*c**3. Calculate w(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1222 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4034.\nAnswer: 2, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3557*t + 1246*t - 1834*t - 23*t + 170888 for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t**2 - t - 6. Let g(z) = -10*z**2 + 2*z + 9. Let n be 0 - (6 - (2 + -1)). Let d(s) = n*g(s) - 7*r(s). Is d(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -8*a + 31. Let g be l(7). Let f = g - -36. Suppose 60 - 5 = f*m. Sort 0, 7, -2, m in ascending order.\nAnswer: -2, 0, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3719169, -3719167, -3719165, -3719163, -3719161?\n\"Answer: 2*r - 3719171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 - 11*r**2 - 8*r - 76. Give a(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**6\/20 + 29*p**5\/60 + 80*p**2. What is the third derivative of h(f) wrt f?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.462, 5?\nAnswer: -0.462","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -140 + 119. Put 0, -1, 4, u in decreasing order.\nAnswer: 4, 0, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.71 * 0.21\nAnswer: -0.1491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93)\/3844*(-56)\/(-21)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -25. Let y(a) be the first derivative of -14 - 15 - a - q*a**3 + 4 + 7*a. Differentiate y(v) wrt v.\nAnswer: -36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 34, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*c + 3*l + 126 = -32*c, 3*c + 163 = 2*l. Which is bigger: c or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11010 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2514, 2499, 2496, 2511, 2550, 2619, 2724?\n\"Answer: l**3 - 22*l + 2535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -38, -470, -1228, -2318, -3746, -5518, -7640, -10118?\n\"Answer: -j**3 - 157*j**2 + 46*j + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3232*o**2 + 440*o**3 + 3232*o**2.\nAnswer: 440*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2 - 4*k**2 - 2*k**2. Let q(u) = -13*u - 1 + 1 + 22*u. Let y(p) = 3*p. Let l(m) = 6*q(m) - 17*y(m). Calculate l(v(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 973594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16305 + 252*w**2 + 4004*w**2 - 7663*w**3 + 16305 wrt w?\nAnswer: -45978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*sqrt(48) - (-5 + sqrt(18)\/(sqrt(6)*-2)).\nAnswer: 9 + 25*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 1:13 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -686 + 686. Solve -2*p - 18 + 26 = l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -103*u - 139998 + 1128180. What are the prime factors of u?\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -215714*b**5 + 17*b**2 - 4485*b + 2595 wrt b?\nAnswer: -4314280*b**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 28*c**2 + 27*c + 3. Let x be w(27). Let q(o) be the first derivative of 1\/16*o**4 - 1\/6*o**x + 0*o - 3\/8*o**2 - 11. Factor q(j).\nAnswer: j*(j - 3)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 490 + -487. What is the hundreds digit of (4 - (-77)\/(-35))\/(m\/2095)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**4\/9 + 2903*z**3\/9 + 2909*z**2 + 8733*z + 8736 = 0?\nAnswer: -3, 2912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(833)*-2 + 0) + 1.\nAnswer: -28*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 520.1 + -479. Let u = n - 38. Let z = -3.3 + u. What is the second smallest value in -5, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 3*g + 2. Let f be w(3). Suppose 4 = -f*v + 14. Suppose -v*r + 31 + 29 = 0. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b**2 + 6*b**2 + 2 + 4*b**4 + b + 0*b**2 to the form c*b**3 + z*b**4 + s + l*b + a*b**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2179 + -2178.9. Put 1\/3, p, -0.1, 26 in decreasing order.\nAnswer: 26, 1\/3, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 282230\/(-32565)*(-132)\/(-26)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uub when three letters picked without replacement from bbbbubu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 4565*s**2\/3 - 9103*s - 13641.\nAnswer: -(s + 3)**2*(3*s + 4547)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 33*n - 7 + 34*n.\nAnswer: n - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 4*s**2 + 6*s - 6. Let d(c) = -c**3 + 2*c**2 - 2*c - 2. Let u be d(2). Suppose 0 = 2*a + 3*a + 130. Let l be 6\/9 + a\/u. Determine p(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 j when three letters picked without replacement from {j: 2, n: 8, r: 4}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*k + 73*k - 270. Let d be (-12)\/k*297\/(-6). Calculate the highest common divisor of 121 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 21*d**3 + 3*d**2 - 4*d - 9. Is s(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(68) - (sqrt(68) + 1 + sqrt(68)))**2 + 2.\nAnswer: -67 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 6*f + 11. What is m(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (838 - 1)*286\/33. What is the derivative of -7064*x + a*x - 46 - 93 wrt x?\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36800 by 7.\nAnswer: 36800\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 36*y**2 + 180*y + 5. Let f(g) = 183*g**2 + 901*g + 26. Let p(o) = 2*f(o) - 11*z(o). Determine p(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from {z: 15, y: 5}.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 11)*(14*x - 10*x - 31*x)*(-x - x + 0*x) to the form m + y*x + u*x**2 and give u.\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2995 divide 10452550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 13*h**2 - 2*h + 8. Let d(s) = s + 2. Let r be d(2). Let x(c) = 0*c**2 - 4 - r*c**2 + c - 2*c**2 - c**2. Let b(n) = -6*l(n) - 11*x(n). Determine b(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-102298)\/11 + 26\/(-143). Let u = 4356846 - 78590695\/18. Let d = n - u. Find the common denominator of d and 111\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 19. What is a(-14)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 2*z + 3. Let i be o(-2). Let t be 6*(-3)\/(-12)*-6. Is t > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 296 = 5*i. Let x = 320 - i. Let o = 1373\/8 - x. Which is the nearest to 4? (a) 4 (b) 0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19)\/(8512\/(-84)) - (-51)\/(-144). Put j, -1\/2, 2\/5, 0.09 in descending order.\nAnswer: 2\/5, 0.09, j, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p - 6. Let d(o) = -o + 1. Let y be 4\/16*-2 - 3\/(-2). Determine y*b(w) + 4*d(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/6412?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1711 and 3186.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((4 - 6)\/(-18)). Let p = f - -46. Calculate the remainder when p is divided by (-2 + 1)\/(2\/(-30)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*q + 12144 + 58320. What is q rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2. Suppose 2*c - 16 = -4*x, x - 2*x = 5*c - 22. Let s(p) = -3*p**x - p**2 + 0*p**2 + 3*p**2. Calculate s(l(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30495288472973\/5380654743555 - -2\/2455798605. Let g = 24\/559 - 53702\/1224769. Let i = y + g. Calculate the common denominator of 53\/9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 8:40 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44988 - 44980. What is the third smallest value in -3\/4, j, -4\/323?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g + 10*g = -72. Factor 2\/3*f**2 + 0 + 2\/9*f**g + 4\/9*f.\nAnswer: 2*f*(f + 1)*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*h + 810 = 0, -3*h = -2*y + 123 + 271. Let c = y + -196. Solve 2*z - 1 = 2*u - 7, -c*u - 6 = 5*z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 177 (b) -1\/4 (c) 0 (d) -1 (e) -1.7 (f) 287\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + -56 + (-16 - -4)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/5 of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 831 (b) -0.06 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 33 = -3*y, 0 = -4*p + 3556 - 3580 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 33, 77, 125, 171?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -420 by -2.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -374.7092 rounded to zero decimal places?\nAnswer: -375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**3\/6 - 4*v**2 + v. Let b(r) = -r + 146. Let l be b(43). Suppose 34*f - 345 = l*f. What is t(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/1881*((-8)\/(-16) + 1) and 103\/88.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*22\/(-110)*5\/(10\/12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 68, 223, 512, 977?\nAnswer: 1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + (0 - 5) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 6. Suppose -o*s + 44 = s. Let l = -393 - -414. What is the remainder when l is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 + 2*o**2 - 4*o**2 - 14*o + 14*o - 7*o**2 + 3 - 3 + o**2 + (1 - 1 - o)*(-o + 1 - 1) + (0*o + 0*o + o**2)*(-2 + 0 + 3).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 4) + -3 + 5 + 2 + 17\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 1:56 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2.11675.\nAnswer: -3.11675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 138 - 410\/3. Let d = 156 - 153. Which is the second smallest value? (a) -2 (b) d (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3266 - -4163. Calculate the remainder when f is divided by 115.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d. Let c(f) be the third derivative of 0 + 0*f + 0*f**3 - 5*f**2 + 1\/6*f**4. Give h(c(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1026523 (base 7) to base 14.\nAnswer: -33683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**5\/120 - c**4\/24 + 7*c**3\/6 - 10*c**2. Let u(h) be the first derivative of r(h). Differentiate u(q) with respect to q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 669 - 634. Suppose -k*s + 63*s = 5460. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/7 - 856\/(-56). Let v(d) = i*d + 4 - 2*d**2 + 5*d**3 - 15*d + 6*d**2. Let r(w) = 6*w**3 + 5*w**2 + 5. Determine 4*r(l) - 5*v(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 6. Let y be w(-5). Suppose -l - 12 + 31 = 0. Let a(v) = -y + l + 2*v - 11. Determine a(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 13*x**2 - 297*x - 181. Calculate w(-26).\nAnswer: -1247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7475 + -7478. Is w not equal to 54.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, b: 2, m: 3}. What is prob of sequence mmh?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60494 and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 206, -43, 0.05.\nAnswer: -43, 0.05, 1, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*w**3 - 58*w**3 - 7309554 + 7309554.\nAnswer: -93*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 1:33 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a4807 + -3?\nAnswer: -a480a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**4 - 7*u**3 - 2*u**4 + 9*u**3 - 7*u**2 + 2*u**4 to the form m + j*u**3 + l*u + s*u**2 + q*u**4 and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y + 4. Let v(r) be the first derivative of -9*r**2\/2 - 11*r - 624. Suppose 20 + 4 = -4*k. Determine k*v(i) - 17*g(i).\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9484994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815218123?\nAnswer: 19, 43, 211, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.56263862 to one dp.\nAnswer: -18.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 13*f**2 + 12*f - 57. Let c be o(-14). Which is smaller: c or -25?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -112.0799.\nAnswer: 44.83196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 7 = 9*q. Let n = q + -18. Let j = 2 - n. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -32.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1784313263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**5*y*y*((y*y**(-17))\/y)\/y)\/((((y**(-2\/53)\/y*y)\/y)\/y*y)\/((y\/(y\/(y**(2\/11)\/y))*y)\/y)) assuming y is positive.\nAnswer: y**(-5702\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-2))\/((-4)\/312). Let u = -36 + c. Factor 6*w**u - 7*w**3 - 3*w**2 + 12 - 6*w**2 - 2*w**3.\nAnswer: -3*(w - 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/18 and -41\/74.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*u + 59*u - 184 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2818 - -946843\/336. Find the common denominator of y and 4\/15.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 9. Let o be t(-6). What is the third derivative of -2*p**2 + 9*p**o - p**3 - 4*p**2 - p**2 wrt p?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 150*d - 12*d. Put -3, d, -40 in increasing order.\nAnswer: -40, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 + 16*w + 44. Let y(h) = -h**2 - 3*h - 9. Let p(s) = -5*i(s) - 24*y(s). Let a(j) = -j**2 + j. Let v(b) = 5*a(b) + p(b). Calculate v(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 96 = -9*v + 4*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/(8\/4))\/(-1). Find the third derivative of -3 + 4*x**2 + s - 5 - 2*x**3 wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2\/3 (b) -6 (c) 7 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + sqrt(304) + 0 + -1 - ((-1 + sqrt(304))*-1 + sqrt(304))) + 5)**2 + -1.\nAnswer: 48*sqrt(19) + 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5121, -5123, -5127, -5133, -5141, -5151?\nAnswer: -5163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -23242233 (base 5) to base 9\nAnswer: -353060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5038*a**3 - 2*a**2 + 15*a + 9. Let k be z(3). What is k rounded to the nearest one thousand?\nAnswer: -136000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24\/(-1)*(-3)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/6)\/(2\/30). Suppose -18 = 4*w - 10*w. Suppose -w + 0 = 3*t. What is the smallest value in -0.4, t, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92976 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/1689 and 29\/3215293.\nAnswer: 9645879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 s, and 1 p when four letters picked without replacement from {n: 1, p: 1, i: 2, h: 2, s: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -400\/7 + 57. Let z = 1\/34 + -71\/102. What is the nearest to z in k, 3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + (1 + -5 - -2). Let l(a) be the first derivative of a**2\/2 - 3*a - 1. Give l(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/9 - 6064*z**2\/9 - 1552184*z\/3 - 10080160 = 0. What is z?\nAnswer: -1506, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*x + 14*x - 3*y + 517003, -y = -1. Round x to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 21. Let g be (-2)\/4 - (-75)\/6. Solve b - t*b = g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22210311 (base 8) to base 7.\nAnswer: 55462265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 + -143. What is the third smallest value in -1, j, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79804?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 156816383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20*(9\/(-3) + 5). Let c = w + -1. Let j = 138 + c. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-2 - (-265)\/135) - 2 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 106, 247, 376, 487, 574, 631, 652?\n\"Answer: -o**3 + 148*o - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678236330.\nAnswer: 2, 5, 79, 858527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4}. Give prob of sequence gg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000136648 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2662*m**4\/15 - 4114*m**3\/5 + 229724*m**2\/15 - 44608*m + 90880\/3 = 0 for m.\nAnswer: -142\/11, 1, 40\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, v: 10}. What is prob of sequence vvh?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7015794 rounded to two decimal places?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 48 = -4*t. Suppose -1260 = -18*j + t*j. Suppose 0 = -7*a + 10*a - j. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 139, 102, 49, -20?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 841023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylll when four letters picked without replacement from lbbblllybyyylylybbb?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/((147\/(-7))\/(-7)). Let r(o) = 2*o**2 + o - 1. Let x be r(-2). Which is the closest to i? (a) -2 (b) x (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((90\/(-21))\/(675\/700))\/(65\/65).\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335, 344, 353, 362, 371, 380?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 25) + 23 + (-15 - -17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10900 - -20427. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 (base 15) in base 7?\nAnswer: -614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 0 + 0 - m + 7*m - m**2. Let a be c(4). Suppose 2*f = -k + f, a = -4*f. What is the greatest common divisor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/18)\/y**(8\/11))\/((y\/y**(-1))\/((y\/(y*y*y*y*y*y**(-10)\/y))\/y)))**(9\/11) assuming y is positive.\nAnswer: y**(637\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**1)**39\/((s**2*s)\/(s*s**(-4))))**(-1\/83))**(2\/31) assuming s is positive.\nAnswer: s**(-144\/2573)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/44 and 39\/36938?\nAnswer: 73876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + 1 + sqrt(176)) + 2 + 5 + 0 + sqrt(176))**2*-4*5.\nAnswer: -147200 - 30720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1900226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 329*l + 5910. Calculate u(-19).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11946435 and 356610?\nAnswer: 23892870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -114700.7 and 0.2.\nAnswer: -22940.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11625 + -11625. Solve q = h - 5*r, -2*h - 8 = -13*r + 11*r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*i = -14, 2*i + 0*i = 5*v - 1. Let s = -3 - -11. Suppose -s = -5*l + 2. What is the remainder when l is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(35)\/(sqrt(7)*-1)) + 0 + (-3*(sqrt(304) + 1 + -3))**2.\nAnswer: -145*sqrt(19) + 2772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 87 = 2*f. Suppose 1716*l - 75789 - 252250 = 10352 - 10635. What is the remainder when l is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*l = 71*l - 32*l + 48 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 138, 547, 1230, 2187, 3418, 4923, 6702?\n\"Answer: 137*f**2 - 2*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/230 and 103\/10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*v - 49 - 79. Let p be (-3)\/(-1) - v*(-6)\/4. What is the highest common factor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(152) + sqrt(152))*-5)\/(sqrt(72) + sqrt(72)*1 + sqrt(72) + sqrt(72)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 2. Let z = 1 + -3. What is the lowest common multiple of (8 - 98\/21)*(-24)\/(-10) and m(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 2:36 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + a**2 - a. Let x(t) = -4*t**3 - t**2 - t + 1. Determine h(o) + x(o).\nAnswer: -3*o**3 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5842 divided by -2921\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 2*v + 2*v)*(5*v - 4*v + v) - 4*v**2 + v**2 + 4*v**2 + 0*v**2 + 0*v**2 - v**2 + (2*v + v - 2*v)*(3*v + 0*v + 0*v) - v**2 + v**2 + 2*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8976.451 litres to millilitres.\nAnswer: 8976451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4312)\/(-2352))\/((-2)\/(-12))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 850*z - 684*z - 143*z.\nAnswer: 23*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeedpaevzzpeeee. Give prob of picking 1 e and 1 a.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911640 is divided by 50.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 895 divided by -179.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 109634327 or 109634326?\nAnswer: 109634327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1129*v**3 + 32*v + 40. Is n(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**3 + 53*k**3 - 3*k**3 - 37*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Let t = 9 - 4. Suppose t*w + 11 = -p + 2*p, w + 2 = l. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 16*b - 64. Let p be m(4). Let w(i) = -3*i + 0*i**2 + p*i + 0*i**2 - i**2. Let x(q) = -q. Determine w(x(y)).\nAnswer: -y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 68489\/(1 - 3 - 9 - 1). Suppose 2*k + 3*k - 28575 = 0. Let i = h + k. What is the common denominator of i and -53\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69057070 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 24.1. Let o = -135298439.89999999 - -135298441. Let i = o - z. Round i to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008120952861 rounded to six dps?\nAnswer: -0.000812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k - 40. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 112*h**3*x**3 - 9448*h**2*x**3 + 8160228*x**3 wrt h?\nAnswer: 336*h**2*x**3 - 18896*h*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12a (base 14) to base 4\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 469 (b) -0.3 (c) 1\/125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/((-276)\/216))\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*z + 18593 = -2*z, -4*o + 8*z = 18568. Is o bigger than -4651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**5\/20 - 11*s**4\/12 + 3*s**3\/2 + 16*s**2 + 8*s + 9. Let t(o) be the first derivative of j(o). Is t(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 56 = -40. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.24383, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**7)**(-1\/61))**(-11) assuming w is positive.\nAnswer: w**(77\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 17*b + 5. What is the hundreds digit of q(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 44 = -8*s. Calculate the highest common factor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7662067 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 565432 and 161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2143968 or 4287937\/2?\nAnswer: 4287937\/2","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Divide -144 by 293339.\nAnswer: -144\/293339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 191 or 192?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -2*h**7\/21 + 8*h**6\/15 - 3*h**5\/5 - 4*h**4\/3 + 8*h**3\/3 - 12*h. Let g(i) = 0. What is i?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78.7 - -3.7. Let x = -12018.97 - -12094. Let q = x + m. Which is bigger: -3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*j + 8, 2*j + 8 = p + 4*j. Let i = -27 - -39. What is the greatest common divisor of i and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4987737 rounded to 2 dps?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1.3. Is f at least -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a. Suppose 3*g - 14 - 1 = a. Suppose -g*h + 3*h = -14800. Round h to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 457, 455, 453, 451, 449?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -122*l**3*x**2*y**3 - 4*l**3*x**2*y - 3*l**2*x**2*y**2 + 2*l*x**2 - l*y**3 + 8*x*y**3 wrt l?\nAnswer: -732*x**2*y**3 - 24*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g - 2*g + 4*g**3 - 158 - g - 25*g**2 + 209 in the form s + b*g**3 + d*g + o*g**2 and give o.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.562 + -1.562. What is the nearest to -0.1 in 8\/3, s, 3\/4, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide ((-10)\/4)\/((-1)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190474351.\nAnswer: 1693, 112507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 - -229\/5. Let h = 211\/4 + -53. Which is the second biggest value? (a) h (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/17 in 3, -0.1, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -b87 (base 14) in base 10?\nAnswer: -2275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4629*i**2 + 1 - 1 + 3730*i**2 as j*i + a + m*i**2 and give m.\nAnswer: -899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -26, -107, -234, -407, -626?\nAnswer: -891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -3, 0.05, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(50) - 3*sqrt(4)\/sqrt(2).\nAnswer: -5 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -33*j**4 + 75629*j**3\/2 + 367159*j**2\/2 - 44248*j - 63290 = 0.\nAnswer: -5, -1\/2, 2\/3, 12658\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/1106 and 23\/77?\nAnswer: 12166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-3))\/(1\/3). Suppose v = p, 3*k - 36 = 2*v + 23. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 182, 27, 4\/11, -0.3?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/5)\/(224\/(-35) - -6). Suppose 5*q = -1 + 6, 42 = 5*g + b*q. Suppose -38 = -3*v - g. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - q**2 + 3*q**2)*(169 + 226 - 321).\nAnswer: 74*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -320140024413?\nAnswer: 320140024414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 15*w**2 - 15*w + 14. Let y be g(14). Let x be 108\/(-24)*10\/(-6). Let y + 12*h**2 - x*h**3 + 6*h = 0. Calculate h.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v + 5*v**3 - 3*v - 9*v**3 in the form c*v**2 + m*v + f*v**3 + t and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 10*p**2 - 6*p - 6. What are the prime factors of s(-9)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c**3 - 153*c**2 - 69*c - 266. Calculate k(26).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/(i*i**19))\/i)\/i**(-6))\/(i\/i**(-1\/5))**(-2\/79) assuming i is positive.\nAnswer: i**(-5123\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98 - 77. Suppose -19*k + h*k - 106 = 0. Calculate the least common multiple of 8 and k.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(195) - -4*sqrt(195)) + sqrt(195)) - sqrt(195))\/sqrt(5)*1)\/(sqrt(75)*-3 + sqrt(75) + sqrt(75) + (sqrt(3) - 1*sqrt(300))).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.26 * -175.2043.\nAnswer: -45.553118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36991 and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 2 - 1) + 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/31 at least 0.384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 3:15 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 6195, -5, 4, -2 in increasing order.\nAnswer: -5, -4, -2, -1, 4, 6195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khhcaxxkxxhxfxa. Give prob of sequence hf.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 304.1 * -49686\nAnswer: -15109512.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 12:51 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 12. Let o(c) be the first derivative of c**2\/2 - 4*c - 1. Let a be o(r). Put a, -1, 5 in descending order.\nAnswer: 5, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14758, -29343, -43944, -58561, -73194, -87843, -102508?\nAnswer: -117189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Let b(r) = -r**3 - r + 0*r - 9*r**2 - q*r. Let p be b(-9). What is the highest common factor of p and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, 181, 626, 1469, 2842, 4877?\n\"Answer: 22*g**3 + g**2 + 22*g - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = o - n - 12, 0 = 5*o - 2*n - 29. Sort -13, o, 4, -2 in ascending order.\nAnswer: -13, -2, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, r: 4}. What is prob of sequence rre?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**3 + 3730*p**2 - 1737246*p - 1740978 = 0.\nAnswer: -1, 933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 221 and -241 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 262 - 526. Let t = f + 263. Put 2\/11, -1\/13, t in increasing order.\nAnswer: t, -1\/13, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j. Let s(m) = 47*m - 22*m - 25*m + 3*m**2. Calculate s(u(n)).\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/9 - 2)*-60. Suppose d = 5*d - x. Let y(w) = 5*w**2 - 20*w + 40. Let i be y(4). Calculate the greatest common divisor of d and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2801317000 to the power of 1\/3, to the nearest integer?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q. Let r(a) = 30*a**2 + 25*a. Suppose 10*k = 14*k - 100. Let g(y) = -5*y**2 - 4*y. Let w(t) = k*g(t) + 4*r(t). Determine w(s(f)).\nAnswer: -45*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j - 6311 + 6311.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 9:21 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1565098 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1088) - 3*(2 + sqrt(17) - sqrt(17))) + 3*sqrt(102)\/(sqrt(6) + (sqrt(600)*-3 - sqrt(600))))**2.\nAnswer: -1442*sqrt(17)\/13 + 188634\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 58 = -4*h, -5*n + 4*n = 5*h + 72. Is h != -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 3*l - 6, -5*j + 3*l - 3 = 21 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201 - 2323040431?\nAnswer: -2323040230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 5*n + 3. Let w(c) = 2*c**2 + 11*c + 7. Suppose y + 5 = u, 1 + 6 = 5*u + 4*y. Let r be (-1)\/((-16)\/6 + u). Calculate r*w(v) + 7*m(v).\nAnswer: v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7459, 28834, 64109, 113278, 176335, 253274?\nAnswer: 344089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 122 - b?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j*n**3 + 859*j*n**2 - 277416*j*n - 43*n**2 - 2*n wrt n?\nAnswer: -12*j*n + 1718*j - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b - 10 + 10 + 128*b - 119*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.07 + -0.07. Let z = 536 + -541. What is the smallest value in b, z, 1\/6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.1. Let f = n + -0.11. Let k = -0.49 + f. Which is the second biggest value? (a) k (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 451\/6210 + 1\/690. Which is the closest to -1? (a) -3 (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 34, 154, 354, 634?\n\"Answer: 40*r**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 3*t - 18, 3*a - 6*a + 6 = -t. Suppose 0*y + h = -y + 12, -a*h + 16 = y. Find the first derivative of -12 + y + 7*q**3 + 0*q**3 wrt q.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -280 + 334.1. Let o = 22.1 - d. Sort -1, -0.3, o in increasing order.\nAnswer: o, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, 0.1, -164, 5, 4, -12?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6*z = -60. Let d = z + -2. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**14)**(20\/7)*(n**10)**23 assuming n is positive.\nAnswer: n**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1765 is divided by 236?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 + 9*j - 36. Let w be g(-8). Let z = w - 82. Solve -4*x = -2*q + 7 - 21, -q + z = x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 164 and 2.\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 14*x**2 + 13*x + 51. Let m be j(-16). Let d(n) = -n**3 + 7*n - 3. Let o be d(6). Let y = o + m. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/4 of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - m - 8, 9*w - 2 = 6*w + 2*m. Which is the closest to w? (a) -0.4 (b) -12 (c) 4\/7 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*a + 12 = -110. Let t be 0*(2*4\/(-16))\/1. Solve t = a*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.85 - 1. Let r = c - 0.05. Put 4, -3\/4, r in increasing order.\nAnswer: -3\/4, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6072\/(-18018) - (-2)\/39.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - w**2 + 4*w - 2. Is 6 a factor of j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, k: 1, x: 5, a: 1, b: 11}. What is prob of sequence ae?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-95)\/(-228)))\/(14\/10)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*d**2*l**3 - 1106*d**2*l*m**2 - 20*d*l**3 - 2*d*m - 143*m**2 wrt d?\nAnswer: 10*l**3 - 2212*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.195 + 222.195. Let d = y - 348. Let x = 126.0000174 + d. What is x rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3\/4, -2 in increasing order.\nAnswer: -2, -3\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -503103426 divided by -483\nAnswer: 1041622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/1691 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - -8.7. Let w = n + -7.65. What is w rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2 + 4 + y**3 - 15*y + 6 - 7*y**2. Let m be j(10). Suppose 158 + 4*d - m - 3*d**3 + d**4 = 0. What is d?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/5))**18)**(1\/28)*(o\/o**(-1))\/(o\/o**(-7)*o)*o**0*o*o*o\/(o**(7\/5)\/o*o) assuming o is positive.\nAnswer: o**(-81\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from yyyyyyysyyyyyyyyysyy.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42125.\nAnswer: 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 573402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 141*n - 52. Determine a(1).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(288))**2 - sqrt(288)) + sqrt(4)\/sqrt(2)*3)*5 + (-1*sqrt(128) + -4 - (-2 + 1*sqrt(128) + sqrt(128)))**2.\nAnswer: 171*sqrt(2) + 2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: 68.946+-396441\nAnswer: -396372.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010 + 10001011?\nAnswer: 10100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 5:08 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.5 + 18.5. Sort -5, l, 0.4, -1 in increasing order.\nAnswer: -5, -1, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 49 = -3*c - 9*v, 5*v = 20. Let q(b) be the third derivative of 0 + 0*b + 7\/30*b**5 + 0*b**4 + 0*b**c - b**2. Let z(g) = 2*g. Calculate z(q(y)).\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and 108895?\nAnswer: -7622.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -233 + 233.15. Let i = -19 - -20.55. Let s = i - u. Round s to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277384697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8474937299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 1\/2, -0.8702, 7 in increasing order.\nAnswer: -6, -2, -0.8702, 1\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**2 - 3*k**2 - 7*k**2 + (-k + 0*k - k)*(k - 2 + 2) + 2*k**2 + 0*k**2 - k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 9299?\nAnswer: 929a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 1801*t**5\/20 - 5*t**4\/2 + 7*t**2\/2 - 1540*t. Find the third derivative of l(b) wrt b.\nAnswer: 10806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 2*i - 3. Let j(f) = -f - 2*f - f**3 + 2*f - 4*f**2 + 3*f**2 - 1. Let q(r) = 3*j(r) - 3*u(r). Factor q(v).\nAnswer: -3*(v - 1)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43549206*x**4 + 365344*x**2 + 158 wrt x?\nAnswer: 1045180944*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 2}. What is prob of sequence ss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s - 20. Let o be u(-14). Suppose -r + o = r. What is the remainder when 6\/(-24)*2*-104 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puz when three letters picked without replacement from {p: 1, k: 1, z: 1, m: 1, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*d - 33*d - 53*d - 43*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 - 8*s + 6. Let x = -43 - -60. Let g = x + -8. What is the remainder when q(5) is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1664 divide 46728448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4477)\/74*64\/88.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/5 and -11\/8001?\nAnswer: 40005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/9 (b) 1 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/44 - 21\/4. What is the biggest value in -1, -0.3, m, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-8*d - 529 + 529)*(0 + 1 + 0) - 4*d - 2*d + 4*d)*(4 - 2 - 3).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + -0.46. Let y = -1.934 - -2.934. Put y, 5, i in increasing order.\nAnswer: i, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 5) + (-6 - (6 + -17)) - -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**5 + 355163*g**3 - 1657*g**2 - 123*g wrt g?\nAnswer: 60*g**2 + 2130978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 286*b*w**5 + 2*b*w**4 + 6*b*w**2 - 2*b*w - 10 wrt w?\nAnswer: 17160*b*w**2 + 48*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q. Let p(d) = d. Let l(h) = 6*p(h) + 7*v(h). Let z be l(-4). Let u(w) = 1 - 4*w + 3*w + 0. Let n(f) = -6*f + 4. Calculate z*u(i) - n(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 8) to base 16\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1657849396321 and -11?\nAnswer: 10.8342150603679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/56 - 66\/8. Let n = 12 + j. Suppose 203 = n*l - 1. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) 236 (b) -3 (c) -197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 7. Suppose -5*j - 10 = 0, 23 = q*y - 2*j - 6. Does 11 divide (-1 - 32\/(-4))*y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136 and 884?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmnumkuannmnaaup. What is prob of picking 1 a, 2 m, and 1 u?\nAnswer: 27\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 + 0 - -7 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130*x + 2*x**2 + 24*x - 3 + 71*x)*(6 + 8 - 11).\nAnswer: 6*x**2 - 105*x - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2527458nm to kilometers.\nAnswer: 0.0000000000002527458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4494.\nAnswer: 2, 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 3\/19 (b) -10 (c) 4 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -69*d - 533. What are the prime factors of g(-36)?\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 22\/9 of a week?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 12:46 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 465*d**3 - d**2 - 9*d + 3. Let f(y) = -464*y**3 + 2*y**2 + 6*y - 2. Determine 3*f(r) + 2*p(r).\nAnswer: -462*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34, -39, -74, -145, -258, -419, -634, -909?\n\"Answer: -l**3 - 9*l**2 + 29*l - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**3 + 10*b**2 - 31*b + 116. Is y(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n + 105. Let t be d(-11). Sort -5, 1\/6, t, -2\/11, -0.4 in decreasing order.\nAnswer: t, 1\/6, -2\/11, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.72589nm in micrometers?\nAnswer: 0.06672589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*k + 177. Let q = k + 203\/4. Is q < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22183 - -53873. What are the prime factors of l?\nAnswer: 2, 3, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*y - 28, -4*y = 3*r + 4 + 4. Let s = -1 - -9. Suppose -r*l + 17 = -5*p, -s = 4*l + 2*p - 18. Solve b + 10 = l*k, 20 = -2*b + 5*k + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(((c*c*c**(-3\/8)\/c)\/c)\/c*c))**(-2\/125) assuming c is positive.\nAnswer: c**(-11\/500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 253*n**2*v**3 + 41*n**2 + 112*n*v**3 + 74*n wrt n.\nAnswer: 506*v**3 + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 193402 to the power of 1\/2, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j + 1. Let a be 3*(1 + -5 + 3). Let i be o(a). What is the units digit of ((-8)\/i)\/(1\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-9)*5*(412\/(-60) + 7)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -126 + 4?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/6591?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 533954.9l in millilitres?\nAnswer: 533954900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22821284*y**2 + 11408207*y**2 + 11413075*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -361\nAnswer: 13\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 9*q**2 + 13*q + 9. Let g be k(-11). Let z(x) = -208*x + g*x + 101*x. Let j(d) = 9*d + 7*d - 3 + 3. What is z(j(m))?\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*g - m - 6, -4*m + 8 = 0. Suppose -5*h = -10*h + g. Calculate the remainder when 2 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001034326522 to 7 decimal places.\nAnswer: 0.0001034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 18*d - 75. Suppose -8*z = -7*z + q - 5, d*z - 4*q = -2. Solve z*s + s = -6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yolyoyoyololy. What is prob of picking 2 o and 1 l?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -41049000 rounded to the nearest one hundred thousand?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13.3 and 0.139723?\nAnswer: 1.8583159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 47\/5, -0.97, 0.2 in descending order.\nAnswer: 47\/5, 0.2, -2\/5, -0.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 63*-0.836\nAnswer: -52.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20\/289 - 9857\/4624. What is the common denominator of x and -89\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/2 + u**2 + u\/2.\nAnswer: u*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2916 and 33696?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-4)\/(-108)*(-9)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 6*r**2 + 4*r - 1. Let f(g) = -g**3 + 2*g**2 - 4. Suppose 10*v + 3*v = 26. Let x be f(v). What is the units digit of p(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 7 + -1 + -11 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n - 5. Let v = -4 - 0. Let i(x) = x - 1. Let y be (3 + 54\/(-15))*-5. Let d = -2 + y. Determine d*p(m) + v*i(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4457, -18280, -41471, -74030, -115957, -167252, -227915?\nAnswer: -297946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 + (-3 + -32 - (-734 + 727))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 - 56. Let v be r*1\/3*-1. Let c(q) = q**3 + 5*q**2 + q + 8. Let g be c(v). Solve -g*z = 2*z + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 73 - -557?\nAnswer: 5ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2) + (-15)\/(-6). Suppose -4*p = -3*z - 62, -2*z + 4 + 34 = y*p. Solve 0 = c - 4*o + 17, -2*c = 2*c + o + p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 556*b + 554*b - 6, 5*s + 12 = -4*b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 242193994 divided by -103\nAnswer: -2351398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(8\/5)\/l**(-2\/3) assuming l is positive.\nAnswer: l**(34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/47))**(-14) assuming a is positive.\nAnswer: a**(-14\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-5) + 1)*(-56)\/(-84). Let f be -3 - (46\/(-15) - (-27)\/(-45)). Factor a + f*y - 2\/3*y**2 - 2\/3*y**3.\nAnswer: -2*(y - 1)*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-126)*-6 + (-61)\/(-7). Differentiate 45 - 3 + 33 + 144*h + z wrt h.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405447 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.777 - 0.077. Let n = 17.7 - o. Let m = n + -13. Which is the third biggest value? (a) m (b) 0.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1 + -2.2. Which is the closest to u? (a) 1\/4 (b) 1\/2 (c) 3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1760)\/96)\/(-11)*4\/(-110)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 22*l**2 - 4*l + 82. Give z(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f - 7. Let b be d(6). Let c = -57 - -74. Let i(u) = c - u**2 + 7*u**3 - 5 - 11. Give i(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*s = -3 - 1, 4*s = -2*n + 4. What is the second derivative of -3*m**2 + m - 3*m**2 + 0*m + 5*m**n wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/38 and 81\/640.\nAnswer: 12160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 - 268. Let o = -323 - p. Let j = -144.059 - o. Round j to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3572539 is divided by 205.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i + 19*i - 190 = 0. Solve 5*x = -5*p, x = -i*p + 5*x + 36 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -816310\/402663 - -10\/5097. Let i = 3211\/1106 - h. Find the common denominator of i and 2\/4 - 954\/(-1176) - 1.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*a - 5. Let w(h) = -154*h - 16. Let b(q) = 19*q + 2. Let u(i) = 8*b(i) + w(i). Determine u(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1163766 and -66.\nAnswer: 76808556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 114897167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -21957 divided by 3\nAnswer: -7319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -53. Let w = t - 9. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/11, 288, -6\/125, -0.2, -2 in descending order.\nAnswer: 288, -6\/125, -0.2, -4\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -2\/9, 42, 4, 3\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 1 + 3. Differentiate r + 2 - q*r + 3*r wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2520 and 841904.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 9 = -3*b. Put b, -2\/3, 5\/4 in ascending order.\nAnswer: -2\/3, 5\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -136?\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 87 - 33 = 0. Suppose -104*v + z = -108*v. Let a(q) be the third derivative of -q**4\/12 - q**3\/6 + 2*q**2. Calculate a(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/233279226 and 40\/171.\nAnswer: 233279226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 6:19 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15571 + -15572. What is the fifth smallest value in -0.2, k, -25, 5, 0.08?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101001010010 (base 2) in base 7?\nAnswer: 10463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 7*g**2 + 6*g + 2. Let n be q(-6). Is (-1 - (-1902)\/54) + n\/(-9) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15, 18, 67, 186, 399, 730?\n\"Answer: 4*y**3 - y**2 - 22*y + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 98726030 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 0.01, 0.3, 0.1 in decreasing order.\nAnswer: 0.3, 0.1, 0.01, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1690*n + 410. Let a be p(-7). Round a to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 97730892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - ((-12 - 1) + 50)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4142526105?\nAnswer: 3, 5, 37, 241, 30971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -541695450 divided by 180565150.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/63 and 131\/2529264?\nAnswer: 53114544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (180\/(-14))\/((-1)\/7). Let o(f) = f**3 + 2*f**2 + 3*f + 45. Let r = -181 + 181. Let t be o(r). Calculate the highest common factor of t and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 9*w**2 - 10*w - 13. Suppose -251 = -10*m - 331. What is j(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6359*i*u**4 + 7*i*u**2 + 50*i*u wrt u.\nAnswer: 152616*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6eee95 - -3?\nAnswer: 6eee98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 788*k - 157*k - 158*k - 155*k - 143*k - 173*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2\/9 - 8*j\/3 - 10 = 0. What is j?\nAnswer: -3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhzvozvvv. What is prob of sequence zv?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8693 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2220230 by -222023.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j**2*m + j**2 + 989*j*m + 3*j - 331 wrt m?\nAnswer: j**2 + 989*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26.5 in -2\/5, 3, 4.1, 0?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107115125.\nAnswer: 5, 13, 29, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -9. Suppose 0 = 5*t - 9 - 16. Suppose 2*s - t = g. What is the remainder when 11 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102 by -22133.\nAnswer: 102\/22133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -341*s - 86. Let k(n) = -683*n - 165. Let u(r) = 2*k(r) - 5*m(r). What is the derivative of u(h) wrt h?\nAnswer: 339","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-36)*4 - (-3)\/(-3)*-3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 7:32 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 164153280 a multiple of 1010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 143 - -2?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*-53\nAnswer: 4.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, a: 1, p: 2, x: 5, n: 2}. Give prob of sequence axxn.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.0994 - 1.1. What is q rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (0 - -1)*-2. Suppose 2*y + 256 = 3*f, -t*y - 248 = 2*f - 5*f. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-2)\/1*1. What is the first derivative of 5 + 4*o + u - 3 wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 29 = -y, -3*t = y + 6654 - 6678 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**6\/(p*p**2\/p) assuming p is positive.\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236264869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 19 (c) 11 (d) 0.011\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-698 - 11*d**2 + 4*d + 1416 - 709)*(7 - 7 + 8*d + 5*d - 4*d + d + (5 - 3 - 1)*(-4*d + 3*d + 0*d) + 2 + 2*d - 2 + 0*d + 4*d - 2*d).\nAnswer: -143*d**3 + 52*d**2 + 117*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91921684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 561.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173 + -156 + (-342)\/20.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5\/4)*p**17 assuming p is positive.\nAnswer: p**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.130819 to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21\/4*-1*2*3580\/5370\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45324\/2 - ((-30)\/(-5))\/(12\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - o = -1862, -8*h + 4*h + 3*o - 3728 = 0. Let f = -552 - h. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22722 and 126.\nAnswer: 68166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as -208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**5\/60 - 2*l**4\/3 - 11*l**3\/6 + 4*l**2. Let v be h(16). Let p = -3 - v. Solve -j + p = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -32*v + 30. What is the units digit of r(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3786340873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*b + 6 = 0. Suppose 12 = b*w - 8. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6 = 2. Let r be -3 - 21\/(1 + c). Solve s - r = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*p + r - 6, -2*p + r = -3. Suppose p*m - 2*m = -2. Is m at most 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7505 smaller than 7512?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 0*s**2 + 3\/7*s**7 + 0*s**4 + 0*s**5 - 19*s + 5\/3*s**3 + 0*s**6 + 0. Find the second derivative of g(u) wrt u.\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**(-17)*(i*((i**5\/i)\/i)\/i)**(21\/5) assuming i is positive.\nAnswer: i**(233\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1, 5, 1.21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -15 (b) -0.08 (c) 2\/171 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9308856, 18617680, 27926504?\n\"Answer: 9308824*n + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43526 is divided by 14490?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a micrometer in nanometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(3 + (-549)\/216). Let q(p) be the second derivative of -9\/2*p**2 + i*p**4 + 9*p + 0*p**3 + 0. Differentiate q(s) with respect to s.\nAnswer: 22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -313699.00312 - -313853. Let z = -154 + a. Round z to 4 decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7245432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 3, 5, -59\/4, 0?\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 2)\/(20\/12). Let y = -1 + 2. Let x(o) = -o**3 - 4*o**2 - 4*o + 2. Let c be x(-2). What is the nearest to l in -2\/3, y, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 + 110*y**2 + 345*y - 178. Give q(58).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2299, -4127, -5959, -7795, -9635?\nAnswer: -11479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000297573254 to 6 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 9. Let w be (-2)\/(-4) + 10\/d. Let g = 0.2 - -0.8. Put 0, w, g in descending order.\nAnswer: w, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 2*n**6\/5 + 17*n**4\/12 - 3*n. What is the third derivative of v(x) wrt x?\nAnswer: 288*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**1*k**(5\/2)*k**(-1\/2)\/(k*(k**(-2\/9)*k)\/k*k) assuming k is positive.\nAnswer: k**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432680733495 - g - 432680733495.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, -237, -582, -1011, -1518, -2097, -2742, -3447?\n\"Answer: c**3 - 51*c**2 - 109*c + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*q, 4*x + 2*q = 5*q + 35 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -148, 2, -18, -5 in decreasing order.\nAnswer: 4, 2, -5, -18, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*f, -3*y - 6*f = -f - 28. Suppose 5*t + 14 = -y. Do t and -4 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 200 - 203. Which is the closest to 2\/5? (a) -0.4 (b) 3\/4 (c) w (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54.404 + -54.004. Let q be 9\/(-16)*4\/6. What is the third smallest value in -33, q, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 51.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (675\/(-300)*8\/3)\/(-3). Solve -5*j = 3*o - 3*o, -4*o + d*j = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - -33. Let n = s - 53. Which is greater: -8\/13 or n?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*n**2*n)\/n)**(-1\/5))**(-39)*(n**(-6)*n*n)\/(n**5*n*n)*(n*(n*n**(1\/3))\/n*n)\/(((n\/(((n*n*n*n*n**(2\/3)*n*n)\/n)\/n)*n*n)\/n)\/n) assuming n is positive.\nAnswer: n**(131\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59518*g**3 - 38369*g**3 - 42587*g**3.\nAnswer: -140474*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1302, 3\/11 in ascending order.\nAnswer: -1302, -2, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6 = -6*v. Solve v = 2*o - o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556515325 to the power of 1\/2, to the nearest integer?\nAnswer: 39453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**4 - 3*w**3 + 11*w**2 - 17*w + 8. Let f(n) = -3*n**4 + 10*n**3 - 34*n**2 + 50*n - 23. Let a(b) = -4*f(b) - 11*g(b). Suppose a(p) = 0. What is p?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5155835, 5155608, 5155229, 5154698, 5154015, 5153180?\n\"Answer: -76*y**2 + y + 5155910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**2*m*u**3 - 224*b**2*m - 9*b**2*u**3 + b**2 - b*u**3 - 2*m*u**2 wrt u.\nAnswer: 30*b**2*m - 54*b**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 159\/52360 and -109\/8470.\nAnswer: 575960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 109814 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/33072 and 9\/37200488.\nAnswer: 223202928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044662 centuries in decades?\nAnswer: 0.44662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 9. Let a = v - -1. Factor 0*o + 2\/3*o**2 + 2*o**4 + 6*o**5 + a - 10\/3*o**3.\nAnswer: 2*o**2*(o + 1)*(3*o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33251 is divided by 161?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 880672 to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -433 + 2224?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j = 25*j - 5. Let l = j + -69. Let v = l - -66. Solve y = -v*y - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4294 = -19*b + 5*b + 911 + 1885 for b.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from kkbxfkbkbkxkbkk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2595982 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*u*x**3 + 2*u*x + 809*u + 3990940*x**3 - 92*x**2 - x + 1 wrt x.\nAnswer: 36*u + 23945640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76697 is divided by 1046?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2455 (base 14) to base 10.\nAnswer: 6347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*k + 43*k = -150. Let r = k + -18. Calculate the greatest common divisor of 2 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 - -23?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2*n + 1. Let t(c) = c**2 - 4*c - 2. Let v be t(4). Which is smaller: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -45*t**2 + 9*t + 4. Let x(v) = -67*v**2 + 14*v + 6. Let o = 10823 + -10831. What is o*a(z) + 5*x(z)?\nAnswer: 25*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116594 is divided by 933.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j**5\/5 + 24*j**4\/5 - 87*j**3\/5 - 47*j**2\/5 - 6*j\/5 = 0 for j.\nAnswer: -3, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/8027?\nAnswer: 2\/8027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 1.8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 48 = -5*p. Suppose -10 = l - 3*l. Solve -1 = l*t - p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 2\/53, 0.3, 0.14654?\nAnswer: 0.14654","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -163 - 2.99\nAnswer: -165.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 217, 187, 147?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/12*(-2034)\/(-3955)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y. Let c(m) = 8*m + 17. Let x(p) = 7*p + 16. Let o(g) = -5*c(g) + 6*x(g). Let n be o(0). Let i(w) = -n*w**2 + 24*w**2 - w**2. Give i(l(j)).\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 143 by 1.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 6*y = 16 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175754 is divided by 9250.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 45. Suppose 4*u = 5*x + g, -u + 6*u - 7 = -4*x. What is the first derivative of -2 + 81*p**u - 13 - 53*p**3 wrt p?\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**2 + 4*z + 1. Let w(n) = -635*n**2 - 508*n - 127. Let d(r) = 127*p(r) + w(r). Let s(g) = 27*g**2. What is s(d(l))?\nAnswer: 435483*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 8*g**2 + 6*g - 1. Calculate the remainder when 10 is divided by m(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3445 = z + y, 120*z - 3451 = 119*z + 5*y. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 22868671493?\nAnswer: 22868671497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + 2*t - 5*t + 2*t + (-5*t - t + 5*t)*(-3*t - 2*t + 6*t) - t**2 - t**2 + 0*t**2 - 12*t**2 + 13*t**2 - 13*t**2 + (2 - 4 + 3)*(0*t**2 - t**2 - t**2).\nAnswer: -16*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2)*40\/6. Suppose 0 = -2*u - y + 22, -y - 2 = -4. What is the highest common factor of u and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 + 65. Sort g, 0.1, -2\/15 in increasing order.\nAnswer: -2\/15, g, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 220150416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (36\/(-16))\/(6\/(-1944)). Calculate the highest common divisor of i and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1672?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 5*c + 1, 3*a - 9 + 12 = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 6*z + 2. Let j be w(6). Suppose -j*u = -5*u. Suppose -4*m = -f + 6, f + u*f - 6 = -3*m. Solve -f*i - 15 = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -67.6\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/204 and -149\/30.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9996561.\nAnswer: 3, 17, 29, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = i, -2*l + 2*i + 5 = i. Let s be (-1099)\/(-21) + l\/(-3). Let y be 17\/7 + s\/91. Put -3, y, -2 in descending order.\nAnswer: y, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665*p - 30 = 655*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 + m**2 + 8*m**2 + (3*m + 7*m - 3*m)*(0*m - 3*m + 2*m) in the form y + v*m**2 + z*m and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 238870.8l to millilitres.\nAnswer: 238870800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 2*w + 246 + 1071, 0 = -b + 5*w + 285. Is b a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7 - 3*t**3 - 3*t**2 + 2*t**3 + 8 + 3*t + 2. Let n be (14\/(-4) - -1)*-4. Suppose -n*u + 60 = -25*u. Give g(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-19)\/((-114)\/(-2364))*(-22)\/4?\nAnswer: 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -12, 1, -29, 0 in ascending order.\nAnswer: -29, -12, -0.3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 161*d = -1122, -50 + 72 = 2*v + 5*d - 3*d - 5*d + 41 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5\/3)\/s**(-3\/2)*(s*s**(-1)\/s)**26)**(-46) assuming s is positive.\nAnswer: s**(3611\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0404, 0, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37\/55 + -7\/5. Find the common denominator of i and 17 - -1 - -1*(-2)\/8.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -503, 1.1, -1\/4, 1\/3, 3 in decreasing order.\nAnswer: 3, 1.1, 1\/3, -1\/4, -503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 366221181 to the power of 1\/2, to the nearest integer?\nAnswer: 19137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssesesemsssss. What is prob of picking 1 s and 2 e?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1 + (1 - 3 + 1)*(-3 + 1 + 0))*(c - c - 3*c).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24 + -1b4?\nAnswer: -1d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**11\/i))\/(i**1*i))\/(i\/((i**(-12)\/i)\/i)*i*i**(-13)\/i) assuming i is positive.\nAnswer: i**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 4)*(-8*a + a**3 + 2*a**3 - a**3).\nAnswer: 6*a**3 - 24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b - 1. Let h(a) = 3*a**3 + 14*a - 11. What is h(x) - 2*u(x)?\nAnswer: 3*x**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 82 + -49?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + z + 4, -5*g + 3*z + 3 = 8. Let w be 79 + (6\/3 + -3)*g. Suppose 3*a = -2*a + 160. Calculate the greatest common factor of a and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 8:07 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 - 50. Let w be q(0). Let i be 4925\/w*2\/(-1). Suppose 4*y + r - i = 3*y, 2*y - 396 = -r. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a + 10*a + 0*a + 2*a. Let k(l) = -1424*l. Let u(x) = -81*x. Let q(s) = -5*k(s) + 88*u(s). Give q(j(v)).\nAnswer: -128*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1914 = 226*t - 52*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 116*-6*1\/(-3). Let u be ((-12)\/(-18))\/(-5 - (-488)\/96). Calculate the greatest common factor of j and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 624816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 7. Suppose 2 = 4*k - j. Differentiate -1 - 1 + 9 - k + 5*q**2 wrt q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115943554?\nAnswer: 2, 11, 73, 181, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001010100100100000001 (base 2) to base 15.\nAnswer: b7821c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/((-6)\/(-1) + 3333\/(-555)). Calculate the greatest common divisor of 65 and i.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 15*y**2. Let n(i) = 4*i**2 - 943. What is n(j(h))?\nAnswer: 900*h**4 - 943","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*r**2 - 16*a**2*r + 11*a**2 + 184303*a*r**2 wrt a?\nAnswer: -4*r**2 - 32*r + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/4, 38, -4\/13, 0.1, 186?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 327450834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.3 + 13.2. Let q = 7.5 + c. Is q equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451*z + 453*z + 12 = -3*p, 15*p + 9*z = -48 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 4, a: 9, g: 1, f: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(((-2400827)\/(-721))\/(-163))?\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.06 (b) 0.2 (c) -3 (d) 2\/9 (e) 2\/3 (f) -2878 (g) 2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1770 + 1144 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21.2 < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7501.\nAnswer: 13, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1302 - -1?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.07 (c) -0.5 (d) 1\/4 (e) 105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -11.7, 0 in ascending order.\nAnswer: -11.7, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1099 and 237811?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 6*y**2 - 5*y + 2. Let s = 30 + -28. Let u be j(s). Solve -2*r - 18 = 5*h, -r + 5 = -3*h - u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 361929 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -2998398\nAnswer: 5\/1499199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*c**4 - 2*c**3 - 3039*c**2 - 9195 wrt c.\nAnswer: -12*c**3 - 6*c**2 - 6078*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -507511754?\nAnswer: -507511750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122905 is divided by 63.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**2 + 11*a - 7. Let b(l) = -3*l + 1 + 9*l - 3*l**2 - 5. Give 7*b(d) - 4*c(d).\nAnswer: -d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 6*a**2 + 6*a - 3. Let g = 16 - 23. Let p be z(g). Let m = p + 6. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -5*b**4\/4 + 35*b**3\/3 - 20*b**2 - 80*b + 34. Factor l(n).\nAnswer: -5*(n - 4)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(637))**2*1.\nAnswer: 14*sqrt(13) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001100001 (base 2) in base 8?\nAnswer: -3141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2388 + -2392. What is the nearest to 4 in -26, s, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssxisssssxstst. What is prob of sequence sit?\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -226194161*l**2 + 611299350*l wrt l.\nAnswer: -452388322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -20512?\nAnswer: 20515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 119 = -5*h. Let x = h + -118. Is (x + 1442\/(-6))\/((-54)\/81) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 592 + -221. Let o = b + -209. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19, -17, -15, -13?\n\"Answer: 2*y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/19)*i*(i\/((((i\/(i*i**(-1\/2)*i))\/i)\/i)\/i)*i)\/i*((i\/(i*i**4))\/i)\/(i**4\/i) assuming i is positive.\nAnswer: i**(-99\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 5:12 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 15 = -3*w, 4*w - r = r - 10. Suppose k + 5 = -0*k. Sort 2, w, k in decreasing order.\nAnswer: 2, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -10\/7 (b) 4 (c) -0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-64)\/(-11) - (-10)\/55. Suppose -t + 2 = -k - m, 4*t = 3*k + 27. Solve a - 4*d + d = -t, -3 = -3*a + 3*d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - -49) + -13 + (-2 + 1 - -11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4*g)*(4081*g**2 + 9550*g**2 - 19166*g**2).\nAnswer: 22140*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 378152.4 + -447021. Let o = y - -68817.59952. Let h = -51 - o. Round h to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + 6 - (-10 + 19).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/109 - -83\/1417. Let s = 16\/39 - l. Which is bigger: -44 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z + 121. Let r be i(-11). Calculate the highest common divisor of 21 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 862.671 litres?\nAnswer: 862671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*f, -2*n + 2 = 3*f - 1. Suppose -3*z - 8 = z, 2*c - 10 = n*z. Solve -6*g + 12 = -c*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143435, -143434, -143433, -143432?\nAnswer: -143431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-6)*(-240)\/(-9). Suppose -4*y = y - 760. Suppose b = -4*k + y. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y = 0. Let p = 2 - y. Suppose -p*l + 8 = -l. What is the greatest common factor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 + 3)*(-100 - 2*s**2 + 112 + s**2)*(2*s - 4*s + 4*s).\nAnswer: -14*s**3 + 168*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/21)\/((-63)\/((-20979)\/148))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 606 and 2?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1815 and 25410.\nAnswer: 25410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**4 + g**3 - g**2 + g + 1. Let z = 7 + -6. Let x(i) = -i**3 - i**2 - i - 1. Let k(o) = z*p(o) + x(o). What is the third derivative of k(t) wrt t?\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**5 + 7560*n**4 + 15132*n**3 + 7568*n**2.\nAnswer: -4*n**2*(n - 1892)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.8*-8.4.\nAnswer: -241.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12 + -0.11955. What is i rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3854136 and 2704?\nAnswer: 100207536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 12\/7 of a week?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 - 129 = -5*i. What is the first derivative of 2*v - 4*v + 1 - 12 - i wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 (base 12) in base 8?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1353.\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -799.11 + 799.110052867. What is t rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2, 3*l = 7*l - o - 390. Let v = l - 58. Let d = -15 + v. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 - 5*m - 11. Let h be 6 + 0 - (0 + 1). Calculate the least common multiple of 18 and u(h).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 14 = -2*z. Let i = z + 7. Suppose 0 = i*j - r + 51599995, 64500025 = -j - 4*j - 5*r. Round j to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/((-700)\/176 + 4). Let m = g - 228. Is (538\/7)\/(48\/m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 5. Suppose -l = 3*x - 16, 2*l + 3*x = 6*l + 11. Calculate the greatest common factor of j and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -831529, -1663021, -2494503, -3325975, -4157437, -4988889?\nAnswer: -5820331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 - 47. Is 4 a factor of (-19)\/2*-2*p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 38*s = -783. Let r = 0.08 - -2.92. Which is the smallest value? (a) -2 (b) r (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -244 - -60. Let o = n + 183.156. What is o rounded to two decimal places?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*i*z**4 - 974219*i*z**3 - 1692*i*z - 7*i + 13 wrt z.\nAnswer: 84*i*z**2 - 5845314*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34204*y - 33561*y + 67768*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {p: 1, c: 1, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3808 = 83*u - 99*u. Let o = u - -242. Solve -3*f = 4*g - 26 - 2, -2*g + f + o = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 0.7.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**3\/4 - 135*u**2\/2 - 2247*u\/4 - 1215 = 0. What is u?\nAnswer: -81, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 1. Let k be s(2). Suppose 4*t - 284 = -k*z, -z + 7 = -t + 85. Calculate the remainder when t is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15624 divided by 21.\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8706 divided by -6076\nAnswer: 4353\/3038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**3 - 75619290*g**2 - 302477100*g - 302477080 = 0.\nAnswer: -15123854, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 9*k**3 + 14*k**5 + 38*k**4 + 21*k + 2*k**2 - 25*k + 21*k**3 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5\/2 - 29*c**4\/2 - 88*c**3 + 58*c**2 + 360*c = 0. Calculate c.\nAnswer: -20, -9, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40.467 + 1394397729.\nAnswer: 1394397769.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.26*56050\nAnswer: 14573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/41, -2\/9, -0.5 in increasing order.\nAnswer: -0.5, -2\/9, -1\/41, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2939*v**2 - 314*v - 2929*v**2 - 2*v**3 + v**3 to c*v**2 + o*v + r*v**3 + h and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 21 + (5 - (5 - (-4 + -3))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 190 - 283. Let n be (p\/9)\/(3\/27). Is (n*(-6)\/(-9))\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -33. Solve 0 = l + 5*a - 7, -3*a + z = -3*l - 0*a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 4, -2, -1 in decreasing order.\nAnswer: 4, -1, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 4, 0 in descending order.\nAnswer: 4, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from bttsbsesttbtssssbbe.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 28 = -5*r, 0 = r - 2*h + 43 - 39 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 216\/36 + 1 + 9. Is 29 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50679?\nAnswer: 3, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6eb (base 16) in base 10?\nAnswer: -1771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -28*l**2 + 4*l - 4. Let s = -12431 - -12452. Let w(f) = -141*f**2 + 21*f - 21. Determine s*n(a) - 4*w(a).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 45*l**2 + 132*l - 143. Calculate g(-24).\nAnswer: -1583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -484.5 + 484. Let c = 852 + -1707\/2. Put c, 1\/5, t in decreasing order.\nAnswer: 1\/5, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (4 - -8)\/2. What is the second derivative of -18*h**3 - m*h + 21*h - 28*h wrt h?\nAnswer: -108*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72604037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 999*d*v**3*z**3 + 796*d*v**2 - 247*d*z**3 - 24*v**3*z - 42*z**2 wrt z.\nAnswer: 5994*d*v**3 - 1482*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 greater than -0.133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, z: 3}. What is prob of sequence qzz?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 237.\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 2*c**2 - 6*c - 2. Let a(x) = -x + 1. Let k = 26 - 37. Let w be -1 + k\/(-1 + 0). Give w*a(m) + 2*q(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0575 + 0.1004. Let m = -0.04813 + r. What is m rounded to 4 decimal places?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - -3069047?\nAnswer: 3069058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 150645*d**2 - 1069513200*d - 995664312000.\nAnswer: -5*(d - 15480)**2*(d + 831)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14177 + 1938. Suppose 0 = 12*s - y - 40417. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -0.3, -9.\nAnswer: -9, -5, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61)\/(-61)*2\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1857 - 303. Suppose p - 2*g + 158 = 539, -4*p + a = -2*g. List the prime factors of p.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.01, 7\/2, -0.178, 5\/4?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1204552 (base 6) to base 9\nAnswer: 105725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -68, -8, -635, 0.2 in ascending order.\nAnswer: -635, -68, -8, -5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329*t**2 - 17 + 31 - 14 + 3*t + 692*t**2.\nAnswer: 1021*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81396 and 5202.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/9 + 2947844*u\/9 + 1086223031042\/9.\nAnswer: 2*(u + 736961)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1023367209 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.7 - 0.1. Let a = q + 1.92. What is a rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - 6*(9\/(-2) - -4). What is the hundreds digit of (-10634)\/(-78) + x\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 229 + -228 - 17*-1. Let m(y) = y**3 + 8*y**2 - 9*y + 8. Let j be m(-9). Calculate the greatest common divisor of v and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1170*o**3*w - o**3 + 2*o**2*w + 32*w + 6 wrt o.\nAnswer: -7020*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2.1. Let p = -523.6 - -555. Let o = p + -31.5. Which is the nearest to -0.1? (a) -2\/53 (b) o (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.53\nAnswer: 1.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8*((-52)\/16 - -3). Let z = -1022 - -1020. Sort -15, 1\/5, q, z in ascending order.\nAnswer: -15, z, 1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61.45 * -1319.\nAnswer: 81052.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3776502278 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7781 * 1.836\nAnswer: -14285.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**6\/16 - 7*l**5\/10 - 131*l**4\/32 - 19*l**3\/3 - 13*l**2\/4 + 937. Find p such that h(p) = 0.\nAnswer: -2, -1, -2\/3, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from thrhhwswhwrhhchh.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*a - 59*a = 1680. Let x = 350 + a. Is 64 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 828263.3 centuries?\nAnswer: 82826.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -527 = -31*x - 0*x. Solve -x + 13 = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33397 - 19736. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09 - 16.91. Let y = x - -17.24. Let d = y + -0.239997. Round d to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 - (-2 - (1 + 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o**2 + 2*o + 2. Calculate y(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1186185 and 2530528?\nAnswer: 37957920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21564 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 5*a**2 + 8*a - 8. What is u(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 78*u**2 - 157*u + 52. Give j(-76).\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125792*o**3 - 121156*o**2 wrt o.\nAnswer: 754752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - 125\/45 - (6 + -5). Which is the second smallest value? (a) -42 (b) m (c) 0.5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 10*n + 5. Let y be s(-11). Let z(m) = -m - 8. Let c be z(y). Let v(k) = -2 + k**2 + 1 + 1. Let d(w) = -3*w**2 + w. Give c*d(r) - 7*v(r).\nAnswer: -r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-5)*((-8085)\/(-44))\/(-49).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**4 - 2*c**3 + c**2 - 1518*c + 877090 with respect to c.\nAnswer: 4*c**3 - 6*c**2 + 2*c - 1518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(150)*-1)\/sqrt(10) + sqrt(75)\/(sqrt(5)*-1))\/((sqrt(12) + 4*sqrt(108))\/sqrt(4))*-5)**2.\nAnswer: 12500\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*c - 5*y = 41*c + 14, -2*y - 8 = 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*(sqrt(187) + 1*1*sqrt(187)))\/((sqrt(121) + sqrt(121)*5 - sqrt(121))\/sqrt(11) - sqrt(891)*3).\nAnswer: -4*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*y**2 + 5 - 16*y**3 + 26*y**3 + 0 - 3 - 13*y**3 as k*y**2 + n + w*y + g*y**3 and give k.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1275*21\nAnswer: -2.6775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - x - 12 = 0. Let p(i) = -4 + i**x + 4. Suppose 5*q = 3*q. Give p(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183 and 2684?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 91*f**2 + 23. Let t(z) = z**2 + 2. Let a(p) = q(p) - 2*t(p). Differentiate a(b) wrt b.\nAnswer: 178*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 8*c**2 - c + 3. Let x(i) = -5*i**3 - 41*i**2 - 4*i + 15. Let g(l) = 2*x(l) - 11*y(l). What is g(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 smaller than -2\/8215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/((-18)\/90).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, k: 2, n: 4}. Give prob of sequence mmk.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1082*y - 1125*y - 903 = 0 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 3\/8, 1\/4, 13\/5, 6, 11.\nAnswer: -6, -3, 1\/4, 3\/8, 13\/5, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.63 + 0.6. Let n = z - 0.07. Which is the nearest to n? (a) -1\/6 (b) 2\/3 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 211160642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 10) to base 13\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 135?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -11. Let u = 5 - o. What is the closest to 2 in -4, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/21 - 16\/(-56). Which is the nearest to 4? (a) 2 (b) j (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - -0.1. What is the biggest value in 3, p, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.6 + 3.6. Which is the third biggest value? (a) 2 (b) -0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(10)\/(sqrt(16)\/sqrt(2) + sqrt(2)) + (sqrt(5) + 1)*-5 + sqrt(5) + -1 + sqrt(180).\nAnswer: -10 + 7*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + 2*q - 1 + 0)*((3 - 2 - 2)*(1 + 3 - 1) + 1 + 0 + 1 + 1 + 12 - 6 + 1 + 0 + 2)*(22 - 16 + 17) in the form t*q + j and give j.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 1 - 1)*(-5*k + 2*k + k) - 8*k**2 - 2*k**2 + 2*k**2 + (-6*k + 2*k + 2*k)*(2*k + 0 + 0) - k**2 + 0*k**2 + 0*k**2.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 325815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522273 is divided by 1834.\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10))\/(18\/10)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 101034000 to the nearest one million.\nAnswer: 101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1059)\/(-21180))\/((6\/152)\/((-144)\/48)).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20928.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 greater than -293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-17 - -7) + 5 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 i when four letters picked without replacement from pibfbipiiipifiii?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 26, -2\/25, 277, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1 - 3451*k + 13 + 3398*k. Let y(v) = v**3 + 4*v**2 + v - 3. Let t be y(-4). Is f(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 250*q = -264*q + 6, 2*l - q = 15 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (-56)\/(1 + -5). Is (222\/p)\/(1\/(-15)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**3 - 28*f**2 - 9*f - 29. Calculate t(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0044 - -143.9956. Let r = v - 48. What is the third smallest value in -0.4, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-1*sqrt(280) - sqrt(280)))\/((1*sqrt(77) + sqrt(77) - sqrt(77))\/sqrt(11)))\/(sqrt(8) + -5*-4*sqrt(8) - sqrt(512)).\nAnswer: 12*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -8 - 34 - ((4 - -1) + 1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15946940 divided by 7973470.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 7:57 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 8, m + 63*j = 61*j - 4. Suppose 5*t - 3*k = 21, -k - 5 = -t - 0*t. Suppose m = t*b + 2*q - 254, -4*q + 12 = -4. What are the prime factors of b?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/6*12\/9. Suppose -f - o = -5*p - 4, -5*p = 3*f - 6. Solve f*w + 4*y = 10, -y = 5*w - 5*y + 31 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -14. Put 5, x, -10 in decreasing order.\nAnswer: 5, x, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -0.09553.\nAnswer: 0.9553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 820239336070.\nAnswer: 820239336072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14168 and 36432?\nAnswer: 255024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -372 divided by -93?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34941713 * -0.2.\nAnswer: -6988342.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmamammmamm. What is prob of picking 1 m and 2 a?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 61 in 6\/23, 3, 2\/7, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 844\/7*t - 843\/7 - 1\/7*t**2 = 0.\nAnswer: 1, 843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and (-160 + 190)\/(0 - 1\/(-5))?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33\/2 + 17. Let h be 5\/(12\/9*-3). What is the nearest to i in -1\/4, -3, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10166196 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2438290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 - 2. Suppose 0 = 3*j - 14 + 2. Suppose -2*b + 12 = 3*i - 2, j*i = 4*b - 8. List the prime factors of l(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1442454 (base 7) in base 16?\nAnswer: -2fb4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 194 divided by -1042\nAnswer: -97\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/60*0 + 4. Solve -8*n - 12 = -x*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5526087 plus -2970?\nAnswer: 5523117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 229*v**2 - 100*v + 78. Is d(29) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2231700 + 2231700 + 3949*x. Let z(a) = -4*a. Give z(h(f)).\nAnswer: -15796*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 - 0.8. Which is the third smallest value? (a) j (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3994827 by 1.\nAnswer: -3994827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 2*v**2 + v**2 + 2*v**2 + 1 - 1 - 21*v - 37*v**2 + 21*v + (-v - 3*v + 3*v)*(4*v - 5*v + 0*v) + 0 + v**2 + 0.\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130065 is divided by 43307.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3943896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 531, -2, -3?\nAnswer: 531","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 15 = -2*t + 10, -2*s + 2 = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 9983600 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k - 35. Let h be a(13). Let y = h + 65. Let u(j) = j**2 + 9*j - 5. Determine u(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o - u + 20 = 0, 3*u + 30 = 3*o. Suppose -3*g + 21 = 5*z - o*g, 0 = 5*z - 5*g - 15. Calculate the remainder when 88 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94 and 10763?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**12*z**2*z*z**14*z**(-1\/3) assuming z is positive.\nAnswer: z**(86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41128085491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000032366 rounded to 6 dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1143 + 2585. Let t be (-591632)\/408 - (3 + -11). Let u = r + t. Which is bigger: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 p when two letters picked without replacement from {e: 1, p: 1, g: 2, d: 1, t: 1, k: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 49 and 391.6.\nAnswer: 19188.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 not equal to -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/32 + 6280\/(-12160). Sort -0.5, h, -5 in decreasing order.\nAnswer: -0.5, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22002 - 1?\nAnswer: -22010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*f**2 + 1 - 49*f - 3 - f**4 - 5*f**2 + 26*f**2 + 51*f in the form n*f**2 + s*f**3 + i*f + u + k*f**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 662*b = 610*b + 1560 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2122312000 (base 5) to base 3\nAnswer: 22110100110121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**2\/2 + 127*k. Let i(o) = -4*o - 4. Give -3*g(j) - i(j).\nAnswer: 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.3 - -5. Let q be 3270\/130 - ((-11)\/13 - -1). Let b = q - 19. What is the second smallest value in b, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -14. Let s = g + 10. Let h(x) = -5*x - 1. Calculate the lowest common multiple of 4 and h(s).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 288 and 1252062.\nAnswer: 20032992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -5, 2\/7, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + ((-7 - -2) + 12 - 5) + 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.8 and 14735847078.3.\nAnswer: 14735847077.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n*n*n*n**(-3\/8)))*n\/(n\/n**4*n))**(-2\/9)*((n\/n**(-1\/4))\/n**(1\/2))**(13\/2) assuming n is positive.\nAnswer: n**(245\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcp. Give prob of sequence pc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k - 4. Let n be y(5). Let w = 6 - n. Suppose w*d - 9 = 3*d. Let p(b) = b**2 - 1. Determine p(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 35*s - 42. Give o(36).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 + 45*x - 10696\/3.\nAnswer: (x - 56)*(x + 191)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxwrwxoxwwwrwxoxwow. Give prob of sequence xw.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 9*w**2 - 9*w - 2. Let m be u(-6). Let k = 519 - m. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1419512868 to the power of 1\/3, to the nearest integer?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.08264 to 2 decimal places.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -3\/5, 3\/7, -0.1, 0, 2\/13?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 484 - 728. Suppose -5*r = -4 + 9. What is the second smallest value in w, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssw when three letters picked without replacement from {s: 5, w: 1, h: 1, l: 7}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 42 - 339. Let f be (-3 + 2 - -5)\/(w\/(-33)). Solve -a + 1 = -f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 15*h**2 - 9*h + 36. Let o be r(-16). What are the prime factors of o*((-2)\/5 - (-143)\/(-130))?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y - 4*y - 2 + 0. Let g be k(-8). Let v be (-1)\/2 - g\/4. Is 3 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 2896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = 4*a + 16. Let r be (1*2)\/((-44)\/(-33))*a. Solve -3*x + 3*q = 6, q + 8 = -r*x + 22 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 55*m - 9. Is l(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1960) - -1*sqrt(1960))\/(sqrt(56)\/(sqrt(42)\/sqrt(6)))*-5.\nAnswer: -70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -62 + (8 + -5 - 1). Let b be 6\/8 + (5 - (-305)\/p). Let t = 0 - 0.02. What is the closest to b in 2\/5, t, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {l: 6, u: 4, b: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 2*t + 5 = 0. Let r(b) = b**3 + 8*b**2 - b - 4. Let w be r(-8). Is w less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000103952689 to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11081016 by 5540508.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31822?\nAnswer: 2, 7, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 18 - 5657*i**3 + 15 - 152*i**3.\nAnswer: -5809*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2340, 2348, 2356, 2364?\nAnswer: 2372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 2*k**2 + 2. Give n(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -138485 rounded to the nearest 1000?\nAnswer: -138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 320761 to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 2*u**2 - 2*u - 3. Let y be t(-2). Let o(j) = 2*j - 1. Let x be o(y). Suppose 0 = -2*w + 7 + x. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -46\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/49196 and -47\/21.\nAnswer: 147588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -14, -54, -130, -254?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 13\/4 (b) 0.6 (c) 7 (d) 5 (e) -17 (f) -2\/7 (g) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 3*j + 3*b - 45, 4*j + 2*b = 72. Solve -5*a = -y - 2*y + j, -2*y - 10 = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-9 - 4) + (5 - 7) + -24?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 49. Calculate the highest common divisor of 126 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 582242?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rndffdprinnfnf. Give prob of picking 1 p and 1 i.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**7\/14 + 33*j**6\/10 - 447*j**5\/20 + 259*j**4\/4 - 99*j**3 + 84*j**2 + 274*j. Factor a(w).\nAnswer: -3*(w - 28)*(w - 2)*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(1\/(3\/(-3)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -150 + 283. Suppose 3*h = -r + 109, -4*r - c - 39 = -4*h. What is the remainder when h is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 16*b. Let w(x) = -2*x - 8. Let f(i) = -2 - 3 + 7 - 1. Let v(s) = 8*f(s) + w(s). Calculate c(v(o)).\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31142145 - 0?\nAnswer: -31142145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/10)\/(5\/((-75)\/(-18)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-1) + (1 - 1). Let n(y) = y. Let d be n(3). Suppose d*w = 4*f - c*f + 66, -5*f = w - 10. Is w a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3, -o - 6*m = -3*m - 9. Suppose 3*n + 3*g - 101 = -2*n, o = -3*n + g + 69. Let p = 15 + -4. What is the highest common divisor of n and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -4a?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2\/19, -10, 3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-3) + (-18)\/9. Solve 3*o = -s*b - 0*b + 5, 0 = -b + o - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 + 78. Suppose -5*w - 4*h = -4, j + 3 = w - 4*h. What is the third derivative of 31*n**5 - 69*n**5 + 50*n**5 + w*n**2 wrt n?\nAnswer: 720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -5. Suppose 2*d - s = -d. Let k be (-18)\/20 - 6\/(-8 + 2). Which is smaller: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 525 and 139375.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(196)*2)\/((sqrt(70) + (-1*sqrt(70) - sqrt(70)))\/sqrt(10) - (sqrt(7) + sqrt(112) + 1*sqrt(112))) + 1)*-1.\nAnswer: -8*sqrt(7)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/1 - -4 - 20. Let l = -22 - b. Suppose -3*j + 2 = -d - 6, 0 = d - 1. Solve 18 = 3*v + l*n, 3*n = j*v - n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72373669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 5*x**2 - 9*x + 16. Give r(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/((-10465)\/760) + (-84)\/(-98). Which is the second biggest value? (a) -14 (b) -4 (c) r (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0*b**2 - 12*b**3 + 2*b**4 + 8*b**3 + 2*b + b**2 + 0*b - 6*b**3 to the form o*b**4 + g + f*b + v*b**3 + p*b**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376\/21*z**2 + 0 - 190\/21*z**4 + 8\/21*z - 194\/21*z**3 = 0. What is z?\nAnswer: -2, -2\/95, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109 + 59. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (27\/(-4) - -6) + (-442)\/(-568). Sort -0.5, -0.3, a, 1 in ascending order.\nAnswer: -0.5, -0.3, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/20 and -61\/34192.\nAnswer: 170960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ca - -5?\nAnswer: -c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2. Suppose 0 = 132*o - 145*o. Let b(l) be the first derivative of 0*l + o*l**2 - 7\/3*l**3 + 8. Give b(u(a)).\nAnswer: -7*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 7:54 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4951.806 nanograms in micrograms?\nAnswer: 4.951806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -11. Calculate the remainder when 24 is divided by 10 + (-3)\/s - (-3 + 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2 - 16) + 199 + -189?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, -66, -11 in increasing order.\nAnswer: -66, -11, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -165841.05?\nAnswer: 165841.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 9:05 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2. Let f(z) = z. Let o(y) = -3*y**2 + 6*y. Let p(j) = -j - 6. Let g be p(0). Let r(h) = g*f(h) + o(h). Give d(r(m)).\nAnswer: 36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + -14 + -51 + -9.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence is when two letters picked without replacement from {r: 3, i: 5, s: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 139*m - 18*m**2 - 29*m**2 - 139*m + 31*m**2. Let q(k) = -9*k**2. Determine q(i(b)).\nAnswer: -2304*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39055622?\nAnswer: 2, 167, 116933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.5 - -17.5000021. Round o to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 7. Let s = 12 - v. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, b: 15}. Give prob of sequence bw.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/28)\/(-18*(-5)\/540).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 659 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - 11. Is r(-11) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*d**2 - 7*d**2 + 9*d**2)*(1127*d - 1127*d + 55*d**3).\nAnswer: 3245*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7375235, -14750584, -22125933, -29501282, -36876631?\nAnswer: -44251980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1121932 and 521220?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 233945 or 11?\nAnswer: 233945","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a**3 - 7*a**2 + 8*a - 7. What are the prime factors of x(-5)?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(4))**2*-6*-6 - ((sqrt(275) + (sqrt(275) - (sqrt(275) + -1)))*-5)**2.\nAnswer: -6504 - 250*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w**2 - 8*w - 36. Give o(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 2:51 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1373.177 to the nearest integer.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*o - 5, 4*b + 2*o - 20 = -2*o. Let x be ((2 - b)\/(-2))\/(4\/24). Solve -5*k + 6 = -x*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 11*d + 12. Let x be g(-7). Suppose 2*u - 4*y = y - 161, -2*y = 6. Find the common denominator of (6\/(-2))\/(u\/x) and 83\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, b: 5, z: 3, s: 1}. What is prob of sequence bb?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-2*n - 6*n + 0*n) + 2 - 2*n - 2 + (-9*n - 173*n - 161*n)*(-1 - 2 + 5).\nAnswer: -704*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1068221545 rounded to 4 dps?\nAnswer: 0.1068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*d + 5*t, 12 = -2*d + 4*d - 4*t. Let v be 3\/(d + 2 + -3). Suppose 3*x - 3 = v. Solve -x*h = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(2)*2)*2 - (4 + (sqrt(112)*-2)**2).\nAnswer: -452 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 6:20 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-12)*20 + (4 - -1). Suppose -2*j - 2*s + 104 = 0, -179 = -4*j - s + 23. What is the highest common factor of x and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eight fifteenths of a minute?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 43. Let u be f(-41). Let p = 21 + -22.3. Let q = -0.9 - p. Which is the closest to u? (a) 1\/7 (b) 0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19.9 and -0.02.\nAnswer: 0.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 343580730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0*((-8)\/(-12))\/((-16)\/(-12))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-21\/5)*g**(-31))\/(g**(-2\/25))**45)**41 assuming g is positive.\nAnswer: g**(-6273\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57 or 18849?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92*-128.\nAnswer: -11776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 1)*(7 + 4 - 4) + (-2 - 2 + 5)*(29 - 38 + 47))*(-o**2 - 3*o**2 + 5*o**2).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 192242819 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -21. Let a = z - -14. Calculate the remainder when 19 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7331339?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/98 and 237\/15*(55\/8)\/11.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 234 (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**2 - 2*z - 1. Let g(w) = -21*w**2 + 9*w + 5. Let s(c) = 9*d(c) + 2*g(c). What is s(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 + 3*w + 4*w**2 - w)*(55 - 60 - 45).\nAnswer: 50*w**2 - 100*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4)*0\/(-3))\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 220427? (a) 0.4 (b) 8 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szizos. Give prob of sequence zo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*t - 2315 = 0, 3*x - 3*t - 206 = 1564. Let z be x\/(-13) - (0 + 1*-2). Are -44 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52022 by -703.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 20*j + 88. Let d be g(31). Let r = d + 171. Is r a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z + z)*(-2*z - z**2 + 2*z) + 4*z**3 + 2*z**3 - 5*z**3 + (3*z - 3*z + 6*z)*(-10*z + 10*z + 8*z**2) + 3*z**3 + 6*z**3 + z**3.\nAnswer: 58*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-21) + 345\/35. Suppose z*o - 5*o - 2805 = 0. Let q = o - 326. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41480345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20079, 40159, 60237, 80313, 100387?\n\"Answer: -t**2 + 20083*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110102201000122 (base 3) to base 6.\nAnswer: 353343025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 12:49 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -28511.301 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11613 + -11611. Put 0, -4\/7, j, 25 in descending order.\nAnswer: 25, j, 0, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 8*t + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24029 divided by 10\nAnswer: -24029\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 - -42 - (408 - 414).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Work out 522 - 1291227.9.\nAnswer: -1290705.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b + 153 = 1398. What is the derivative of 9 + r**2 + 93 - b*r**2 + 14 - 18*r**2 wrt r?\nAnswer: -200*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12609?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**5\/60 - 3*m**2. Let l(d) = -23*d + 9*d + 9*d + 25*d. What is l(c(g))?\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1985 + 1968.67. Let g = z + 0.33. Let j = g - -15.52. Round j to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29 - 91 - 34*b**4 - 119*b**4 - 105*b + 31 + 30 wrt b.\nAnswer: -1836*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3068 + 3073. Solve -c = -y + 2*c + 11, -o*c = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 8 + 0 + (0 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 6*r - 15. Let i = r - -1. Suppose -i*h - 5*k = 22415, 10449 = -2*h + 5*k - 736. Round h to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -9 - 0. Suppose 6*m = 3*m + s. Let x(d) = -1 - 3*d - 3 + 5 + 4*d. Let p(g) = 2*g**2 - 6*g - 6. Give m*p(k) + 6*x(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n = 3*s - 11*n + 3, -12 = -4*n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 156.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -4, -207, 4, -1, -100 in descending order.\nAnswer: 4, -1, -4, -14, -100, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 341857 and 62624?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -22 - 19*x + 26*x - 13. Let d be l(7). Suppose d = -3*m + 206. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(8\/9))**30)**(1\/38))**(-7\/3) assuming d is positive.\nAnswer: d**(-280\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*v - 47*v + 254*v in the form c*v + s and give c.\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 5\/3 (b) -46 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*c + 10 = -c, 0 = -3*y - 3*c + 12. Suppose -y = 4*j - 6*j. Solve -3*a = -j*b + 6, 2*a + b + 1 = -9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(35\/3)\/(m\/(m*m**20*m))*(m**42)**(-36\/5) assuming m is positive.\nAnswer: m**(-4046\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354916 is divided by 211.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 124 = -118. Put 1, 3, -5, q in descending order.\nAnswer: q, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.89 * 12.\nAnswer: -34.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-nine halves of a litre?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Suppose 0 = -y - i - 1. Let a be 1 + 1 + y + 1. Solve 3*u = 6, 4*k - a = 5*u - 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 1\/5)*-5. Suppose 0 = -5*b + 5*h + 160, -5*b - 13*h + 10*h = -176. Let r = b - 6. Calculate the highest common divisor of r and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -7. Suppose 0 = -5*p + 3*i + 14, 212 = 4*p - i + 205. What is the third biggest value in p, k, -4\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63755137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**4\/4 + 2*b**3 + 9*b**2\/2 + 46*b - 21. Let m be w(-7). Let z = m + 131. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 5, -9 in decreasing order.\nAnswer: 14, 5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/12)\/(-8 + (-675)\/(-108)). Let b(p) = p - 7. Let d be b(5). Sort -2\/9, d, k, 5 in ascending order.\nAnswer: d, k, -2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (8 - 6) + -7 + -8 + 76.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20195 divided by -4039\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 2086 and 2082 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 22*y**2 - 74*y - 235. What is the units digit of s(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -16576*p + 11063. Let v(r) = 39*r - 26. Let u(a) = -2*k(a) - 851*v(a). Let g(c) = 38*c. What is 6*g(d) + 5*u(d)?\nAnswer: 43*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4 - 1324*i**3 + 24108*i**2 - 123876*i + 101088.\nAnswer: 4*(i - 312)*(i - 9)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 - (1 - (3 - 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3815550532 a multiple of 2291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e3d (base 16) to base 11.\nAnswer: -2814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -4*x + x. Calculate the greatest common divisor of 45 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2*q + 188, -5*t - 49 - 140 = -q. Let u be -4 + 2 + -1 + t. Let k = 46 + u. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 9*u + 65. Let v be z(-7). Suppose 2*n - 60 = v*m, 4*m - 90 = -4*n + 2*m. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r\/(r**(1\/2)\/r))\/r*r)\/r)\/r)\/r*r**2*r*r*r\/((r**(-1\/3)\/r)\/r)*r*r**(-1\/5))\/((r**4\/r)\/r**(-4))**(-9) assuming r is positive.\nAnswer: r**(2089\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 + 792*n**2 + 1581*n\/2 - 1583.\nAnswer: (n - 1)*(n + 2)*(n + 1583)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - 2*(-14)\/4. Suppose h - r*h = -12. Solve -3*b + 5*f - 14 = 23, 0 = -h*b + f - 21 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67914122, -67914126, -67914130, -67914134, -67914138?\nAnswer: -67914142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9505.956ng to milligrams.\nAnswer: 0.009505956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/5 - 81933*v + 9831384\/5.\nAnswer: (v - 409641)*(v - 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11033679.\nAnswer: 3, 727, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 4:28 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.11 and -0.02449404.\nAnswer: -0.13449404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 + -88. Suppose 8*s - 4*s + f = 0. What are the prime factors of ((-6)\/(-3))\/2 - s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 5:50 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -0.038, -2\/17 in descending order.\nAnswer: -0.038, -2\/17, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 65816807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*u + 72, 3*k + 3*u = 8*k + 160. Which is smaller: k or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.37955 rounded to zero decimal places?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 5*v**2 - 4*v + 6. Let y be h(6). Suppose -l + 4*l - y = 0. What is the highest common factor of l and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -274.6 times 0.1?\nAnswer: -27.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*r**2*z**3 - 9*f*r**2*z + 12*f*r - 38*r**2*z**3 + 2*r**2 - 5*z**3 with respect to f.\nAnswer: r**2*z**3 - 9*r**2*z + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = -0. What is the derivative of 26 - 12*v**g + 38*v**4 + 521*v**2 - 521*v**2 wrt v?\nAnswer: 104*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3894150 and 192?\nAnswer: 124612800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 36. Let f be c(-19). Suppose 0 = -3*r + 3*u + 201, -f*r = -0*r - 4*u - 124. Calculate the greatest common divisor of 18 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*n + 6. Let i(k) = -k**2 - 5*k + 7. What is the units digit of i(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2252401764 to the nearest integer?\nAnswer: 47459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 537459 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 205576912 to the power of 1\/2, to the nearest integer?\nAnswer: 14338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.89 - 2.494. What is c rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27490?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*(sqrt(112)*1)**2*-4 + 4*(-2 + (sqrt(112) + 0)**2).\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 10*c**2 + 12*c + 9. Let k be 4\/((-8)\/66) - (-6 + 3). Let d = k + 41. Calculate the smallest common multiple of 18 and q(d).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2604*h + 4231. Give k(-2).\nAnswer: -977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**5\/60 + 7*c**3\/6 - 4*c**2. Let i be (-2)\/(-6) - (-33)\/9. What is the units digit of y(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 26*m**3 + 1\/2*m**5 + 0 - 18*m**2 - 15\/2*m**4 = 0 for m.\nAnswer: -2, -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 - 35816*r\/7 + 35818\/7.\nAnswer: -2*(r - 1)*(r + 17909)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10867897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/2 - 1 - (242176\/1984 - 117)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from capkciab. Give prob of picking 1 c and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1302 + 1362 - (15 - (-1 + 1 + 2)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zehezzhoezo. Give prob of picking 2 o and 1 z.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-351)\/819 - (-25)\/42 and 16\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(-f - 2*f + 2*f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11232 (base 4) to base 12.\nAnswer: -266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 13. Is ((-44)\/p)\/((-4)\/(-40)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.351 - 0.151. What is the biggest value in y, -1\/2, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9 + 100*y**5 - 3 + 46*y**5 + 29*y**2 + 12 wrt y.\nAnswer: 8760*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 - 655 = -2*x. Let h be (x\/75 - 5)*942. Let j = -126 + h. Which is smaller: 38 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - u - 1)*(-1 + 2 + 0) + u - 3*u + u)*(3 - 1 - 4)*(-1 - 3 + 5).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11202010 + -1102?\nAnswer: 11200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 2066035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4424, 8711, 12998, 17285?\nAnswer: 21572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3061*s**2 - 55163*s - 1173. Calculate o(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 12310, -1\/5, -5, -1\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 246084494995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5 = 3*x, -2*x = m + 1. Let w = m + -10. What are the prime factors of (w\/(-3))\/(21\/693)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 6:02 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/k**(-1\/2))\/k)**(-2\/19)\/(k**1)**(7\/4))**(2\/13) assuming k is positive.\nAnswer: k**(-145\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -21*h**5\/5 + 20*h - 39. What is the derivative of y(k) wrt k?\nAnswer: -84*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*o + 173*o + 48 = -2642 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/19)*l*(l*l**(10\/13))\/l)\/(l**(-2)*l**17) assuming l is positive.\nAnswer: l**(-3346\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*w**3 - 331*w**2 - 2172*w - 1835.\nAnswer: (w + 1)*(w + 5)*(6*w - 367)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 = -1. Suppose 4*w + 12 = 0, 2*y + 0*y + 8 = -4*w. Is ((-9)\/j*y)\/(-1) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 496 and 182032?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -11*b + 4. Let i(q) = 1. Let z(m) = -a(m) - 4*i(m). What is the derivative of z(v) wrt v?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123003 smaller than 123004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-7)\/2)\/((-1)\/2). Let d(f) = 4*f**4 - 5*f**2. Let q(v) = 2*v**4 - 2*v**2. Let y(p) = c*q(p) - 3*d(p). Find the third derivative of y(s) wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -3*j + 15. Let t be (-11)\/j + (-3)\/(-9). Put t, 1, 3 in decreasing order.\nAnswer: t, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -197\/5130 and -119\/5760?\nAnswer: 328320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 13 = 17. Let t be y\/(-3)*(-6 - -9). Suppose -3*r - 4 = 14. Which is bigger: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 l when two letters picked without replacement from ilihiiieleiieililhl?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 113970 = 2*w - 123719, w + 2*f - 118867 = 0. Let t = w - 28525547\/240. Find the common denominator of t and -9\/8.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6. Let g(m) = -1. Let b(a) = -11*g(a) + 2*r(a). Let v(o) = -2*o**3. Give -b(h) - v(h).\nAnswer: 2*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 17abb5 (base 12) to base 5\nAnswer: 101203420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from {f: 1, p: 5, q: 4, v: 1, c: 1}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 293820*d**2 + 7052544*d + 42316992.\nAnswer: -2*(d - 146934)*(d + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**4\/24 + 2*t**2. Let m(s) = 2*s**2 - 4*s. Let r(g) = -3*g**2 + 5*g. Let q(f) = 5*m(f) + 4*r(f). Determine d(q(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 10:39 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 1:40 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 + 194 + 29*s**2 - 29*s**2.\nAnswer: 3*s**3 + 194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -2, -678 in decreasing order.\nAnswer: -2, -17, -678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 30*i**3 - 115*i**2 - 25*i + 20 = 0.\nAnswer: -1\/2, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2209 - 10984\/5. Let u = h - 13. Let p = -75.1 + 75. Which is the closest to p? (a) -0.15 (b) -0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 + 4*l - 3. Let d(c) = -c**3. Let u(z) = -4*d(z) - r(z). Let y be 6\/(1 - -2) + 0. Calculate u(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = 46*m - 222 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven tenths of a day?\nAnswer: 95040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36) - 1*sqrt(576)) + sqrt(360)\/(1*sqrt(10)))\/((sqrt(120) - (sqrt(120) + (3*sqrt(120)*5 - sqrt(120))))\/sqrt(10)))**2 + 2.\nAnswer: 101\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 7 = -25. Let u be (-30)\/18*i\/5. Differentiate 7 - 3 + 6 + u*x**2 - 1 with respect to x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 0.5 in descending order.\nAnswer: 2, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 smaller than 117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 13. Let z = -647\/1302 + -2\/651. What is the nearest to -0.1 in -0.4, o, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*t + 549 = 305*t - 166*t - 20197 for t.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k + 12 = 72. Let h(z) = -z - 24. Let g be h(-20). Let y be (g - (-26)\/4)*2. Solve 5*o = y*a + 4 + 1, 0 = -3*o - 4*a + k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26867 and 308770?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*x**2 + 15*x**2 + 3 - 8*x**3)*(-1 - 1 + 0).\nAnswer: 16*x**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1825.00012415 - 1825. Round w to 6 decimal places.\nAnswer: 0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 21*v. Let p(w) = -8*w**2 - 1365305. Calculate x(p(z)).\nAnswer: -168*z**2 - 28671405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 648883 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*a**2 - 119*a**2 - 99*a**2 - 70*a**2 + 65*a**2.\nAnswer: -303*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12600 = -38342*t + 38426*t. Calculate the least common multiple of t and ((-1)\/3)\/(3\/(-135)).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24760209, 24760208, 24760207, 24760206?\nAnswer: 24760205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 74*q**3 + 15*q**2 - 2. Let s(d) = 370*d**3 + 75*d**2 - 11. Let w(b) = 2*s(b) - 11*x(b). Find the third derivative of w(r) wrt r.\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 - 21 - 3*a - 8 + 19 to k + d*a**2 + i*a and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - u = u - 38, -4*u = 3*t + 84. Let w = t - -45. Suppose -w*m + 18*m - 135 = 0. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-10 + 18 + -7)) + -184 + 98\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p + 2*m - 2 = -14*p, 2*m + 10 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1204 and 11\/2.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17300928 to the power of 1\/3, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 + 0 + -3 - 0. Suppose 0 = 3*t - 6, -v*t + 40 = -2*z + 7*z. Let h = z + 34. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 30*u + 254. Determine z(15).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - -3)*(2 + -1). Let t be o\/12 - 1\/(-4). Suppose 9 = n + 5*x, -2*x - 2*x + 20 = 4*n. Solve -2*j - 8 = -t*j - n*m, -2*j = -m - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(375)\/sqrt(3)*2)**2.\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**5 + 37300*r**4 - 9874710*r**3 + 712718440*r**2 - 6405215525*r + 15419158500 = 0.\nAnswer: 5, 131, 7188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1\/4 (c) 592\/5 (d) 0.3 (e) -199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (-176)\/(-3))\/(70\/(-105)). Let j = 97 - q. Let a(u) = -1 - 6*u**2 + 3*u - 2 + u**3 - 4. Calculate a(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72*l**2 - 2751 + 2751 + (-4*l + l + 2*l)*(l + 3 - 3).\nAnswer: -73*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6020, 12038, 18056, 24074?\nAnswer: 30092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -10099*o - 20207. Calculate s(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (0 + 2)) + (-22 - -37) + (-5 - -9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*y + 12 = 0, 31 = -4*f + y + 4. Let x be 5 - f\/(-42) - 2\/(-12). Determine m, given that 2*m + 13*m - x + 15*m**3 - 20*m**3 - 5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-5 - (-11 + 9))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 469 and 68425.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -1 - 3. Suppose x = -x + d. Let z = x + 1. Solve 3*s - t - 2*t = -z, -2*t = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267 take away -0.72?\nAnswer: 1267.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -946620 = -140*q + 365189 + 314571. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1161972 and 1291080?\nAnswer: 11619720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(-1\/2))\/(k*k**(11\/2)))\/(k**(3\/8)*((k\/k**(-12))\/k*k)\/k))**7)**(3\/41) assuming k is positive.\nAnswer: k**(-3087\/328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6 = g. Let k = g - 3. Is 0.04 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*m - 22, -2*x + 23 = 24*m - 19*m. Let b(o) = -2*o - 3. Let t be b(-3). Solve -t*l + 4*l = -m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5345967200.\nAnswer: 2, 5, 7, 37, 25801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60905 - 4073 = 26*g - 13992. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.074 + 32.374. Let c = m + -32. What is the closest to 2 in c, -0.4, 0.09?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-nine halves of a week?\nAnswer: 2436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010574803 rounded to six decimal places?\nAnswer: -0.010575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 10, 13, 50, 133, 274, 485?\nAnswer: 778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 3*y**2 + 49*y - 170. Let m be z(6). Solve 4*d + 4 = 5*f + 22, -3*f = -5*d + m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 464, 747, 1390, 2573, 4476, 7279?\n\"Answer: 30*v**3 + 73*v + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((19\/((-1330)\/100))\/(72\/42))\/(24\/(-162)).\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -31. Suppose 3*t + 27 = -s. Let p = -7 - t. Solve 5*b + 37 = -4*d, 0 = 2*d + 2*b + 10 + p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 209552474 to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 6*d + 240. Let t be 2 + d\/(-36) - 1451\/(-9). Let f = -55 + t. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hppzhnuuhzhhhjuhu. Give prob of picking 1 z, 1 h, and 1 n.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 102643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*o = -1, o + 3 = c + 2. Solve c*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Let w = -515.03 - -517. Let r = w + -1.17. Which is the second biggest value? (a) l (b) -2\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -459 divided by -4?\nAnswer: 459\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 154 (b) 2 (c) 0.06 (d) -161 (e) 2\/15 (f) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*u + 16*u + 220 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/20*14\/(1260\/15)*12\/3\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -78391084 divided by 2468?\nAnswer: -31763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594321 is divided by 7618.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1049 (b) 4\/3 (c) -6 (d) 2\/7 (e) 478\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1700) - (-1*sqrt(1700))**2) - (-1*sqrt(1700) + 1) - ((sqrt(17) + 1 + sqrt(2057))**2 + 0 + sqrt(119)\/sqrt(7)).\nAnswer: -9250 + 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/544*-17 - -1. Is o != 4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 13*h - 17. Suppose 8 + 28 = 4*d. What is the remainder when d is divided by c(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192390*o + 384724*o - 192346*o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*p + 2*p**2 + 4*p - 9*p + (-4 + 3 - 1)*(-p**2 + p**2 + 2*p**2) - 20*p**2 - 4*p**2 + 5*p**2.\nAnswer: -21*p**2 - 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474.578ng in micrograms?\nAnswer: 1.474578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 218*l + 67. What is the units digit of g(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 366?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -487 (b) -2 (c) -0.4 (d) 193 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 173 and 394613?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aacacanacac. Give prob of picking 1 c and 1 a.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 679.1590449 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 6. Let t(j) = 4. Let y(k) = 11. Let a(o) = -8*t(o) + 3*y(o). Let v(z) = -2*a(z) - g(z). Let s be v(-2). Sort s, 1, 0 in descending order.\nAnswer: s, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5026b0 (base 12) to base 11.\nAnswer: 783112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 76874, 76806, 76560, 76028, 75102, 73674?\n\"Answer: -18*f**3 + 19*f**2 + f + 76872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 - 25*j**2 + 15*j + 53. Let o(x) = 22*x - 3. Calculate the remainder when o(5) is divided by n(-13).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232 - 10?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*a + 41*a - 2*a)*(-15*a + 28*a - 12 - 15*a).\nAnswer: -134*a**2 - 804*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8006, 16051, 24134, 32261, 40438, 48671, 56966, 65329?\nAnswer: 73766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/6 and -77\/272.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 4640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -80\/1589181?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4110 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 + -0.98. Let o = -0.4 + 0.3. Let h(x) = -3*x - 22. Let p be h(-6). What is the second biggest value in d, p, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/2*(-8)\/16. Suppose -c*s = -s. Is s <= -5\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 229, 489, 747, 1003, 1257, 1509, 1759?\n\"Answer: -g**2 + 263*g - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7477a6 (base 11) to base 14.\nAnswer: -231d0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/3)*z)\/z)\/((z**(-2\/5)\/z)\/z*z)*(z**(2\/7))**17)\/(z\/z**(-2)*z**6*z*(z**(-4)*z)\/(z**(3\/7)\/z)) assuming z is positive.\nAnswer: z**(-68\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.079 (b) 4\/3 (c) 0.5 (d) -0.2 (e) -30.9 (f) -2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -111 - -46 - (-13 + 22 + -32)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/6 - 3245*g\/6 + 1624.\nAnswer: -(g - 3)*(g + 3248)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -22. Solve -4*h + f = 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**7\/1008 - s**6\/360 + s**5\/20 - 3*s**2. Let v(g) be the third derivative of a(g). Is v(3) 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 569*a**2*g**2 + 2*a**2*g + a*g + 9*g wrt g?\nAnswer: 1138*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*x + 3*o - 297 = 0, -5*x + 498 = 4*o. Suppose 5*u - x = 8. What is the lowest common multiple of 18 and u?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3622, 14551, 32766, 58267, 91054?\n\"Answer: 3643*x**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.11 (b) -0.032 (c) -3 (d) -0.3 (e) 1.5 (f) -2088\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 14034602 and 22 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55123\/11 - 5015. Let n(t) = -t**3 - 8*t**2 - 8*t - 6. Let z be n(-7). What is the common denominator of z - 1\/((-22)\/14) and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/3))\/y**(-2\/9) assuming y is positive.\nAnswer: y**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -4, 4, 1, 2, 3022 in decreasing order.\nAnswer: 3022, 4, 2, 1, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 51094, 102057, 153008, 203941, 254850, 305729, 356572, 407373?\n\"Answer: -u**3 + 50970*u + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 8*p - 43. Suppose h + n - 545 = 50, -2*n + 2370 = p*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6246 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 211327658 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10820?\nAnswer: 2, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 163133\/18 at least as big as 9064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*-4*(-7)\/2 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -13*h + 13. Let o(t) = -7*t + 6. Let z(v) = 5*o(v) - 3*s(v). Let l be z(6). What is the highest common factor of l and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 711223*l - 1553614 wrt l?\nAnswer: 711223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3302 + 110103?\nAnswer: 100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 3*c**2 + 2. Let z be ((-25)\/5)\/(4\/16). Let q be (-99)\/(-15) - 8\/z. Let n = q - 10. Calculate f(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06949909 and 0.3.\nAnswer: -0.020849727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/15 and 23\/1920?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29362.\nAnswer: 2, 53, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 0.427.\nAnswer: -1.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -628*x**6 + 2*x**2 + 3*x.\nAnswer: -75360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/4 or 6191?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 9*u - z = -120361, -3*u - 5*z = -90258. List the prime factors of u.\nAnswer: 30091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4\/11)\/(y*y\/(y\/y**(-4\/11))*y)*y**3\/y**(1\/6) assuming y is positive.\nAnswer: y**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i - 17*i + 12*d = 10, 11 - 1 = i - 6*i + 2*d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, k: 1, u: 1}. What is prob of sequence fu?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p - 33. Let i be n(7). Factor 55*y - 43 + 50*y**i + 43 - 3*y**3 - 2*y**3.\nAnswer: -5*y*(y - 11)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -607 = -4*r - 15347. Let m = 88325\/24 + r. Find the common denominator of m and -27\/5.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 17 - (6 - 6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(6))\/sqrt(3).\nAnswer: -sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 9*h**2 - 17*h + 6. Suppose -3*p = -p - 22. Is r(p) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308385.3 meters in centimeters?\nAnswer: 30838530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -53520 times -0.6?\nAnswer: 32112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31*l*w**2 - 4*l*w - 4*l + 8*w**2 + 8*w + 39073 wrt w.\nAnswer: -62*l*w - 4*l + 16*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 786 - 313. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 85 - 207. Let r = -46 - k. Does 27 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 12 + (2 + 1 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/20)\/(62\/(-1395)). Let f = -59\/28 - w. Which is the closest to -1? (a) f (b) 2.3 (c) -6\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536435 is divided by 4127.\nAnswer: 4052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 + 9*y**2 + 2*y**2 + 2*y**4 - 11*y**2 - 5*y**3 to the form z*y**4 + g*y + d*y**3 + u*y**2 + w and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 2*j - 14, -i + 7 = -2*i - 3*j. Put -1, i, -7 in increasing order.\nAnswer: -7, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97538 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.01, 5\/3 in increasing order.\nAnswer: -5, 0.01, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (22\/(-4))\/(11\/66). Let t = q + 38. Let b = t - 4. Solve 0 = -j - b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 224, 222, 218, 212?\n\"Answer: -u**2 + u + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 11:06 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3\/3 + 65*y**2\/3 + 101*y\/3 + 34\/3 = 0.\nAnswer: -1, -1\/2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 - 563\nAnswer: -563.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is d69503 (base 15) in base 5?\nAnswer: 10103112003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7197*87\/36 - (-20)\/16. Suppose 3*l = -2*m + 5*m + i, m = -3*l + 17374. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 8. Let i be q(-8). Suppose 0*t - 4*t = 0. Suppose i = 2*z - t*z - 10. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 140 = -5*w, -5 = 2*v + 9. Which is the smallest value? (a) 0 (b) w (c) 9 (d) -1\/4 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.46 from 0.35.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjxgugugxngjjj. Give prob of sequence juj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 104, 128, 172, 242?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-4)\/(-3))\/((-20)\/8).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*z + 25*z + 414 = 1548 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b**3 + 875*b - 875*b + 4*b**3.\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 10393311.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z. Let a(x) = 4*x - 7 + 4*x + 0*x. Let i(t) = -7*t + 6. Let k(j) = -6*a(j) - 7*i(j). Calculate -4*k(g) - o(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3350 - -1?\nAnswer: 3351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(390\/(-45))*4773\/(-86))\/((-3)\/4)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/(-21) + (13050\/(-1827) - -1*8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23574671.\nAnswer: 23574671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -2, -19, -1, -4 in decreasing order.\nAnswer: -1, -2, -4, -16, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 291055808 and 251383.\nAnswer: 3201613888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 19*g**2 + 930*g - 39. Determine n(-22).\nAnswer: -655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2728, 2856, 2984, 3112, 3240, 3368?\n\"Answer: 128*q + 2600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102969845 by -9360895.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bibfzzbizlzbfibiiz. What is prob of sequence ffbz?\nAnswer: 5\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 1828*g - 23. Let t(y) = -63*y**2. Determine w(t(c)).\nAnswer: -3969*c**4 + 115164*c**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2 = -13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cclccccpcccy. Give prob of picking 1 l, 1 y, and 1 p.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 2*s - 236 + 246, 3*i - 15 = 3*s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*c*o**3*w + c*o**3 - 28*c*o**2*w - 2*c*o*w + 14*o**3*w + 4*o**2*w wrt o.\nAnswer: -42*c*w + 6*c + 84*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -15. What is the common denominator of f\/48*(-5852)\/33 and 33\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100043 (base 5) in base 13?\nAnswer: -1582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h + 4*h**2 - 3*h + h - 1 + h**2. Let f(w) = w**2 - w. Let j(q) = -a(q) + 4*f(q). Give j(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o. Let g(z) = 2*z + 261866. What is s(g(q))?\nAnswer: -2*q - 261866","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 - -116?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103535 is divided by 34501.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15283989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 102, 127, 4, -2, -17, 1 in descending order.\nAnswer: 127, 102, 5, 4, 1, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j = 100 - 10 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20719 = 480*y - 4634*y - 716*y - 57201 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13145 is divided by 13094.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -0.5. Let m = -14 - -22. Let p be 4\/(m\/(-6)) - 0. Which is the closest to 0? (a) p (b) z (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73083 and 1887.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**3*u**2 + 19297166*c**3 + 2522515*u**2 wrt u.\nAnswer: 6*c**3*u + 5045030*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 2*k + 4*k)*(-18 - 12 + 24) - 47*k + 76*k - 43*k.\nAnswer: -32*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 3415, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctvutuctuvcttct. Give prob of sequence vt.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 25.4. Let h = 3.4 + b. Let g = 0.4 + 0.6. What is the closest to h in g, 4, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/7 and -59\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1\/16, 15.9, -1\/3, -1\/4, 0?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (-6 - -46) - -26.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/4 (b) 4\/3 (c) -1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 6*l + 10. Let v be y(7). Let w be -2*v*(-12)\/(-9). Let f = w + 16. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/21 - (-80)\/28. Let k(n) be the first derivative of n**2 - 2 + 4\/3*n**l - n. Determine k(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (7 - -16) + -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/13*o**2 + 0*o + 0 = 0. Calculate o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2989427625?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 18\/(-117) + 539\/91\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -106636?\nAnswer: -106643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 4*f**2 + 54*f + 300. Calculate c(-5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000282349123 to 7 decimal places.\nAnswer: -0.0000282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1048)\/24 - (-2)\/3. Let b = -45 - i. Calculate the remainder when (24\/9)\/(b\/(-18)) is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 8, -79, 37\/5?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -3\/4, 2\/11, -0.4 in increasing order.\nAnswer: -3\/4, -0.4, 2\/11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1084 divided by 4?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4831930 divided by -2415965\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 + 21*m + 32. Let o be h(-2). Suppose -4*g + o*p + 3026 = 0, 126 + 618 = g - 3*p. Is g a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11347011?\nAnswer: 3, 13, 293, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1675785 is divided by 201.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**2 + 8*q + 5. Let m(b) = -4*b**2 + 7*b + 6. What is -4*a(s) + 3*m(s)?\nAnswer: 4*s**2 - 11*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1683376449 to the power of 1\/2, to the nearest integer?\nAnswer: 41029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -30142509, -30142508, -30142507?\n\"Answer: z - 30142510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5)\/(-3))\/((-2)\/(-36)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + k + 0 + 7 - 3. Let r be i(-10). What is the tens digit of (-486)\/(-14) - r\/56?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 = 5*o + 11*o - 336 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375350 is divided by 156?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 356*r + 716. Let u be q(-2). Solve u*b - a + 13 = 0, 3*b + 4*a = 14 - 38 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16910 rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmd when three letters picked without replacement from xpupuxxdumuk.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m**8\/9240 - m**7\/1540 - m**6\/990 - m**3 - 3. Let h(y) be the third derivative of f(y). Factor h(l).\nAnswer: -2*l**2*(l + 1)*(l + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t = -3*j + 574, -5*t + 223 = j. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*u + 100 = 0. Let o = u + 22. Calculate the highest common divisor of o and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11861 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/5649848 and -11\/85.\nAnswer: 28249240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4083820 or -4083821?\nAnswer: -4083821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.378592 millennia to months.\nAnswer: 16543.104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (-3472)\/245)*-7.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**2 + 2*x - 22. Let u(z) = -z**2 + z. Let f(i) = -a(i) + u(i). Is 4 a factor of f(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 1\/105*s**7 - 8*s**2 + 0*s**3 + 0 + 0*s + 0*s**6 + 0*s**5 + 11\/24*s**4. Find the second derivative of f(z) wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9819099 meters in kilometers?\nAnswer: 0.0009819099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*x - 131, 0 = -4*x - 4*m + 53 - 193. Let l = 281 + x. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.4, -2, 2.518?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -24021 (base 7) to base 5\nAnswer: -144224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n**4 - 1455*n**3 + 70595*n**2 - 1153365*n + 559215 = 0. What is n?\nAnswer: 1\/2, 43, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 3*n - 725. Let a be b(0). Let d = 248 + a. Let x = -304 - d. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.23 (b) 1 (c) 3\/4 (d) -2\/7 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwdddwwwwwddwww. Give prob of picking 3 w and 1 d.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2804.99987998 + -2805. What is j rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -126206714*g**3*t**2 + 4*g**3*t - g*t - 2103*g + 12*t + 4 wrt t.\nAnswer: -252413428*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.080916 - 0.219084. Suppose 0*o - 15 = -3*o. What is the closest to o in -1\/5, u, -1, -0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*v**5 + 21290*v**4 + 7919*v**2 - 5*v wrt v.\nAnswer: 300*v**2 + 510960*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.53? (a) 104\/11 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 64689930\/7 or 9241419?\nAnswer: 9241419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 226647 or 226797?\nAnswer: 226647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/558 and 21\/9 - (-284935)\/(-127596).\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 0. Let o = t + 0. Factor -4*n + 2*n**o - 2*n**2 - 2*n**2.\nAnswer: -2*n*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.109 - 46.109. Let n = 46 + y. Which is the biggest value? (a) 1 (b) -1 (c) n (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (754\/(-174))\/((-1)\/21). Calculate the greatest common factor of 247 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17959393, 35918809, 53878225, 71837641, 89797057, 107756473?\n\"Answer: 17959416*z - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*w - 15*w - 5*w**3 + 0 - w**3 + 0 + (w**2 + 2 - 2)*(-5*w + 3*w - 3*w) in the form k*w**2 + h + r*w + o*w**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 90, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (138\/5)\/3 - 36\/(-45). Let m(x) = -2*x - 8 - 21 - 15 - w + 11. Determine m(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18387 and 16276581?\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -0.5787145.\nAnswer: -4.0510015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 0) + (3 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2495.31196 rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 581*u - 214. Is f(15) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q\/(q\/(q*q**(-8))*q))\/q)\/q)\/q)\/q**(-1\/10)*(q**(3\/5))**(-5\/3))**(-7\/4) assuming q is positive.\nAnswer: q**(833\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.459826 + 1.4789. Round s to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-17017)*-3661 + 12\/9*288\/(-3264).\nAnswer: 60\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 144 + -143. Let f(y) = y**2 - 10*y - 10. Let d be f(12). Let w be 60\/(-80) - 2\/8. Sort m, w, d in decreasing order.\nAnswer: d, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*r - 11. Let x(t) = 3 + t - 7*t + r*t. What is the tens digit of x(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*l = 219*l - 10335688. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 4:46 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*s + 2*x - 70 = 0, 3*s - 180 = 4*x. Let g = s - 49. Differentiate -24 + 21*h**2 + 15*h - 30*h + g*h wrt h.\nAnswer: 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 6*t - 1676 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -509 in -0.3, -3, -0.1, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-1339)\/(-26) - 308\/88*(-10)\/(-14)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r = 11*r + 117. Let w = 42 - r. Suppose w*a = 19 + 68. Does 29 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 35 = 5*n, -v - 3*n = -0*n + 4. Let w be (8 + 2 + 5)*(-2)\/v. Let x(g) = -g - 6. Determine x(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -1 - 3*m + 0 - 2. Let l be q(-3). Suppose -l*t + 10 = -4*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -345 (b) -8 (c) -4524\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2722355 and 544471.\nAnswer: 2722355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24193 by 13.\nAnswer: -1861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 517094 and 282.\nAnswer: 1551282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 189898452*t.\nAnswer: 4*t*(t + 47474613)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 110, 3, -3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*(w\/(w*w*((((w*w**(-10)\/w*w)\/w)\/w)\/w)\/w))\/w*w)\/(w\/(w\/w**10)))\/(w\/(w*w**(-2\/13)))**(-10\/9) assuming w is positive.\nAnswer: w**(488\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**9\/126 + 83*c**6\/60 + 1273*c**5\/60 + 1438*c**2. Find the third derivative of i(v) wrt v.\nAnswer: -480*v**3 + 996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16279 and 8.\nAnswer: 130232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 805\/573 or 0?\nAnswer: 805\/573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**2 + 3*h - 1. Let a be z(2). Let q = a - 8. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/35*(-10)\/(-6))\/(5\/85).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 2*u + 18, 0 = -2*g - 5*u - 84 - 89 + 176 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136953290 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5a1239 (base 11) to base 12\nAnswer: -39b800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 104, 102, 98, 92, 84, 74?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-66)\/44*(-1 - 3). Suppose -10*j = -d*j - 336. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 + 292.4. Let u = i + -382. Let k be 5 + -5 + (0 - 5). What is the third biggest value in -3, u, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(1\/3)*s))**34\/(((s*s**15*s*s)\/s*s)\/((s\/(s**5\/s*s))\/s)))**(-32) assuming s is positive.\nAnswer: s**(3296\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-36))\/((-11)\/(-3) - 1). Let l = 343\/6 - 57. Sort l, 4, a in increasing order.\nAnswer: a, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a**3 + 3*a**2 + 5*a + 8. Let z be b(-2). Let w = -96 - z. Let f = 199 + w. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6312, 12503, 18696, 24891?\nAnswer: 31088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1550 = 21*h + 374. Calculate the highest common factor of h and 504.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*a**2 + 278*a**3 + 303*a**2.\nAnswer: 278*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 178?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 300\/30*4*(-1)\/(-32)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.3 (c) 6.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 16*j**2 - 15. Let f be y(-16). Let h = f + 20. What is the smallest common multiple of 11 and h?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13937*w + 2 - 6*w**2 - 2 + 13869*w wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 45?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + (14 - 10) - 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = -4*b + 4*f, b = 2*f - 1. Let n(y) = -y**2 - y. Let r(i) = i**3 - 2*i**2 - 5*i. Calculate b*r(m) - 4*n(m).\nAnswer: m**3 + 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67444 = 234*p + 1063*p for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/12*-2*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2451 - 9054.\nAnswer: -6603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 + -166 - (12 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 5*p. Let r(m) = -m**2 - 20. Calculate d(r(w)).\nAnswer: w**4 + 35*w**2 + 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6) + (-7)\/(-3). Suppose 0*m = b*m. Let q be (-2)\/(-2 - (-8)\/5). Sort m, 4, q.\nAnswer: m, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - 11*g**2 - 141720 - 19*g**2 + 0*g**3 + 0*g**3 - 3*g**3 + 141721 to the form d + z*g**2 + c*g**3 + u*g and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1774, 1779, 1784?\n\"Answer: 5*z + 1769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000099650015 rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) 18.2 (c) 105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2031 + 2031.0001311. What is p rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 1. Let f be (4\/2)\/(8\/20). Suppose f*r + 3*n + 4 = -3, 5*n = -20. Let s be t(r). Is s at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8304 * -0.5\nAnswer: 4152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4614*t + 8. Let x be l(3). Let c be (173 - -27)*x\/1. Round c to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -27. Suppose 0 = n*r - 4*x - 90, -6*x + 18 = r - 3*x. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 73 - 129. Which is the closest to -1\/4? (a) -0.5 (b) 4 (c) 6 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-36)\/(-45)*3\/(-36)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 3493\nAnswer: 3\/3493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*((-10)\/6 - -2). Let f be b - (0 + (-4)\/2). Let a(u) = -4*u**2 - 2 - 2*u**2 + 5*u**2 + 7*u - 4. What is a(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/4*s - 1\/8*s**2 - 121\/8.\nAnswer: -(s - 11)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*1\/(-1)*(-1)\/(-3). Let d = -255 - -253. Which is the closest to d? (a) 4\/3 (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*p + 4124 = -4385 + 2034 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2*-14247\nAnswer: -28494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.242871009 to two dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 6 - 1)*(-3*y - 2 + 2)*(-9*y**2 - 5*y**2 - 18*y**2)*(y + 23 - 23) in the form t*y**3 + s + k*y + v*y**2 + d*y**4 and give d.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(2*1) + -9. Let w(t) = -17*t + 5 + 9*t - 5*t**3 - 8*t**2 + 0*t. Let z(r) = 3*r**3 + 5*r**2 + 5*r - 3. Let c(j) = d*z(j) - 5*w(j). Calculate c(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**2 + 42*z - 27. Let g(y) = 21*y**2 - 209*y + 137. Let h(v) = 2*g(v) + 11*m(v). Let c(s) be the first derivative of h(s). Does 21 divide c(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (311*h - 233*h + 580*h)*(2 + 0 - 1).\nAnswer: 658*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from {u: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/34 - (-2 + (-106)\/34). Suppose -3*t + 11 = 2. Let m(q) = -t + 4*q - 4*q + q. Give m(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1858 is divided by 186?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 2*w = -163, 3*c + w - 77 = 136 - 115 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 535.6 - 536. Put 7, h, 2\/11 in descending order.\nAnswer: 7, 2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 plus -1921.6?\nAnswer: -1921.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*p + 125*p = -2150. Sort 0, p, -1 in decreasing order.\nAnswer: 0, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*35\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27986 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 157 + 102. Does 37 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -9.5 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -298*c**4 + c**3 - 2*c**2 - 13*c - 2848711 wrt c.\nAnswer: -1192*c**3 + 3*c**2 - 4*c - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i = 64. Suppose -3*b + 16 = -i. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*n = -10, 20 = 4*i - 2*n + n. Find v, given that -v**2 - 3*v**3 + v**2 + i*v**4 - 3*v**2 + v**2 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**2 - 12*d + 5. Let n(k) = -2*k**2 - 12*k + 4. Let u(q) = -4*j(q) + 5*n(q). Let t be u(10). Suppose 6*i - i = t. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16500*n**5 - 1110*n**3 + n**2 + 26293122 wrt n.\nAnswer: -990000*n**2 - 6660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 513, 2077, 4689, 8349, 13057?\n\"Answer: 524*f**2 - 8*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 2*x**2 - x**2)*(-3*x - 3*x + 3*x).\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -47*f + 52*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8002.74 months?\nAnswer: 0.666895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 14 = -2*o, z = -2138*o + 2136*o + 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61*x**4 + 36*x**2 - 5572 wrt x.\nAnswer: 244*x**3 + 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -23, 1188, 0.005, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8, 133, 498, 1195, 2332, 4017, 6358, 9463?\n\"Answer: 18*z**3 + 4*z**2 + 3*z - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-4*z**5 + 357 - 357) + 2*z**4 - 7*z**5 + 4 + 9*z**5 - 6 + 3*z.\nAnswer: -6*z**5 + 2*z**4 + 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -32. What is the third smallest value in 64, 3, v?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 64?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/1 + 126250\/6060\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -1 - 7 - 5*z + 2 - z. Is 6 a factor of p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/7 (b) 2\/19 (c) 2\/13 (d) -5 (e) -2 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 10:35 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 6. Determine t(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/(-1*6 + 81328\/13524) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + z - 3. Let g = 1 + 9. Suppose -g - 2 = 4*h. Let o be d(h). Solve -8 = -4*m - 5*b, 4*m + b - 11 + o = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041100 (base 8) in base 12?\nAnswer: 115628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v = 117*v + 11*v - 1104. Let b(t) = t**3 - 4*t**2 - 15*t + 8. Calculate b(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -8*h**3 - 2*h**2 + 1. Calculate x(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -112.67 (b) 1\/3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22998182.\nAnswer: 2, 11499091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 1 + 2)*((1 + 0 + 1)*(2*v - 2*v + v**2) + (3*v + 2*v - 6*v)*(4 - 4 - 2*v) + 7*v**2 - 3*v**2 + 0*v**2 + 1 - 1 - v**2).\nAnswer: -42*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 27, -12, 0, -3.\nAnswer: -12, -3, 0, 17, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.87 + 0.13. Let v = -120 + 123. Suppose 2*k - 11 + 4 = -v*u, -3*k + 20 = -5*u. Put b, u, 0.8 in increasing order.\nAnswer: u, 0.8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z = 17*z - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69585?\nAnswer: 3, 5, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -29, 53, -4, -3, 0 in decreasing order.\nAnswer: 53, 5, 0, -3, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -19*f**3 + 2*f**2 + 2*f + 1. Is 4 a factor of y(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -15*q. Let g(o) = -42122*o**2. Calculate z(g(f)).\nAnswer: 631830*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2. Let g be q(-1). Let m(h) = -6*h - 1. Let o be m(g). Let r be (1\/3)\/(1\/6). Sort o, r, -1.\nAnswer: -1, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -267 + 523. Suppose -x - 2*x + 5*b + 166 = 0, -4*x = 2*b - k. Let d = 69 - x. Solve 2*l - 2 = -2*h - 2*h, d = -3*l + 4*h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 e, 1 m, and 1 l when four letters picked without replacement from {m: 1, l: 2, e: 1, d: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/18*(-21)\/(-14). What is the closest to b in -0.5, 6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 6*q**2 + 3*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -247*u**6\/30 + 367*u**4\/6 - 305*u - 2. What is the third derivative of x(n) wrt n?\nAnswer: -5928*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 11:27 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhvhvhhhhhhh. Give prob of picking 1 v and 1 h.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*c**3 - 12*c**3 - 5 + 66*c**3 - 57*c**3 - 2*c + 4 as j*c**2 + o*c**3 + y*c + q and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*x - 444 + 630 + 181 + 1945 = 0 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -28. Let y(z) = -z**3 - 4*z**2 + 2*z - 4. Determine y(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.1, 0.01, 367, -0.07 in descending order.\nAnswer: 367, 0.01, -0.07, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tst when three letters picked without replacement from stttst.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31856 less than -10640?\nAnswer: -42496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*n**4 + 14714*n**3*t - 1208*n**2*t + 7*n**2 - 1969*n*t + n wrt n.\nAnswer: 1752*n + 88284*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0 - -30 - (57 - 53 - -5)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7004 and 5811569.\nAnswer: 1751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i*y**4 + 3*i + 77*y**6 + 110*y**2 wrt y.\nAnswer: -24*i*y + 9240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 892300 and 2025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1878 and 1459519?\nAnswer: 8757114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 27.999989. What is u rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -19 + 15*j - j**3 - 267*j**2 - 1 + 281*j**2. Suppose -3*c + 30 = -3*a, 2*c - a + 17 - 42 = 0. Calculate w(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/7 - (-10)\/(280\/22044) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 - 46. Suppose q + 762 = d*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2426, 23, 12 in ascending order.\nAnswer: -2426, 6, 12, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/4, 15, 24?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3983 is divided by 173?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 200 = l. What is the remainder when l is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 114*c + 4 - 26 + 6.\nAnswer: 114*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -4. Suppose 5*q = -1 - m. Is 7 a factor of (q - -2)\/(1\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i - 7. Let x(j) = 13*j + 15. Suppose 44*p - 32*p = 60. Suppose 5*r - f + 14 = 0, 8*f - 7*f - p = 2*r. Give r*x(w) - 7*o(w).\nAnswer: 3*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, 2\/5, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -1. Let d be (-18)\/(-5) + (-2)\/(-5). Let s(o) = -p*o - o + d*o. Let m(q) = -3*q**2. Calculate m(s(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-2)\/(-80)) + 0. Calculate the greatest common factor of c and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 - 25*i - 169461 + 169462 + 2*i**3 + 6*i**3 to q + t*i**2 + z*i**3 + y*i and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 0 - 1 + 117*b + 13*b. Let c be t(7). Suppose c = 4*l - 5*m, 0*l - 4*m = -2*l + 456. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfsc when four letters picked without replacement from {s: 3, l: 2, c: 10, f: 1}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 18044*o - 18045*o + 5*h, -3*o - h - 50 = 0 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.13 + 0.07. Let b = -2 - -1.7. What is the third smallest value in p, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 202*r - 5. Let z(b) = 403*b - 9. What is -7*s(q) + 4*z(q)?\nAnswer: 198*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 7*t + 7. Let g(b) be the first derivative of b**3\/3 - 2*b**2 + 4*b - 1. Suppose 4 = 4*r - 12. Calculate r*w(s) - 7*g(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -221\/3 + 75. Let h = x + -34\/21. Put -2, 0.1, h in increasing order.\nAnswer: -2, h, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-5))\/(((-505)\/202)\/(25\/(-12)))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*3\/((-18)\/4). Let m be (-36)\/(-9) - (1 - -1). What is the third derivative of -3*r**2 - r**2 + q*r**3 + m - 2 wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 + 2 - 2*d)*(-d - 2 + 2) - d**2 + d**2 - 2*d**2 + 135*d - 135*d + 14*d**2 + (-2*d + 2*d - d)*(-2*d + 2*d - 2*d) to f*d + v*d**2 + n and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r - 3*r**2 + 4 - 1 + r**3 - 1 + 4. Calculate d(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 757 divide 20762611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2140 - 1?\nAnswer: 2136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-6 + -2 + 13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1000 and 31400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/6)\/(0 + -1). Let u = -15 + 15. Is r <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 5. Let o be l(-7). Calculate the common denominator of o\/1 - 114\/20 and 79\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-132)\/15)\/11*10\/(-4). Solve h - 19 = 5*b, f*b + 10 = -4*h - 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u - 4*u + u**2 + (-4 + 2 + 0)*(-30*u**2 + 1622*u - 1622*u))*(-2 + 2 - u**2) to o*u + s*u**4 + c*u**3 + z*u**2 + m and give s.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/5))**37)**(-12) assuming n is positive.\nAnswer: n**(-3108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 184 = 189. Solve 5*m + 2 = -3*g - 4, g = -j*m - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(6\/3*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f + 3*p + 42, 2*f + 4*p - 10 = 0. Suppose 0 = 3*o - 6. Let d = f + o. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30734.\nAnswer: 2, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.09 - -12.11. Let x = -14.2 + m. Sort 4, -3, 2.6, x.\nAnswer: -3, x, 2.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1442\/10365 + -4\/691. Let m = -0.06 + -4.94. Let l = -2 + 3. What is the closest to l in m, 1\/4, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*f = 174*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (-1)\/1 - -11. Let p = -169 + 211. What is the units digit of p - 9\/(f\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 + 7*w**3 - 2*w**3 + 13*w**3.\nAnswer: 18*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -10. Let z be ((-4)\/c*0)\/(-1). Sort z, 3, -3 in increasing order.\nAnswer: -3, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z + 2. Let w(h) = h**2 - 3*h + 3. Let y be w(0). Suppose -k + 11 = -4*k - l, -9 = 5*k - y*l. Calculate r(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85310206 to the power of 1\/2, to the nearest integer?\nAnswer: 9236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(-13 + 11 - 21 - 23*x + 179*x).\nAnswer: 156*x - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 5, j: 3, a: 3}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 6:51 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 13*v**2 + 11*v - 5. Let f = 59094 - 59047. What is the remainder when i(-8) is divided by f?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -12, -16, -22, -30, -40?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 10\/12)*(-6)\/(-2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113768 + 5.\nAnswer: 113773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6632244014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1205 is divided by (698 - -158)*(-3)\/(-8).\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 40 = -2*p, 18*p - 20*p + 2*m = -44. Factor 2*u - 21*u**2 + 14*u**2 + p*u - 4 - 9*u**3 + 0*u**3.\nAnswer: -(u - 1)*(u + 2)*(9*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 201755?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 250654 less than -4?\nAnswer: -250658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*x - 1495*x = 19641 + 25459 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -126297281.\nAnswer: -126297276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -123624779 divided by 4?\nAnswer: -123624779\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 262*j + 3. Let x be g(1). Suppose -7*q = -12*q + x. What is the remainder when q is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-51960)\/(-32) + -6)*(-16)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(700) + sqrt(700) + 0)*4)**2.\nAnswer: 403200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 5846053.\nAnswer: -3\/5846053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.3 - -7. Let v = -8.97 - -9. Let b = v - -0.07. What is the closest to -1 in 5, b, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05083 - -1.11083. Let r = 268 + -266.87. Let o = r - u. Round o to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1909929.\nAnswer: 3, 7, 103, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**3\/6 - 9*i**2\/2 - 5*i. Let v be o(5). Let c = 5 + -10. Is v < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) + (sqrt(98) + 1*sqrt(98) - sqrt(98))**2*3 + 2*-1*sqrt(32).\nAnswer: -sqrt(2) + 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 531 and 1070909?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-137622)\/4)\/((-13)\/26). Suppose 0 = 5*s + g - 583811. What is s rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1955027696?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 0 (c) -3 (d) -2\/5 (e) 10 (f) 162\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 7 = -r. Let b = -20 - r. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/14 + 10\/(-14)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 653 = -11*n + 1368. Solve 12*d + 53 = n*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6066, 6079, 6094, 6111, 6130, 6151, 6174?\n\"Answer: h**2 + 10*h + 6055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12*3\/(-42) + 5 + 6 + -12. Which is the nearest to 11? (a) -1\/5 (b) -3 (c) -0.1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 5*n + 5. Is x(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13222069 is divided by 94443.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ararun. Give prob of sequence ur.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*f**2*i - 875*f*i**2 + 99*i**2 - 3*i - 13 wrt f?\nAnswer: 42*f*i - 875*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 113277900 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z - 8 - 15 + 7. Suppose -6*g + 4*p = -10*g - 40, -21 = 2*g + 3*p. Let r be k(g). What is the third biggest value in r, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 8) + -5 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.041? (a) -6 (b) -0.1 (c) 0.84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-1))**(-1\/50))**50)**(-1\/34))**(-5) assuming s is positive.\nAnswer: s**(5\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 9*s**3 + s**2 - 2*s. Let z = 14 + -7. Let g(q) = -14*q**3 - q**2 + 3*q. Let d(x) = z*t(x) + 5*g(x). Calculate d(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72300300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2034 - 47772\nAnswer: -45738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 times 104?\nAnswer: -22256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/3074891637?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - (-11 - -19)) + (-21 - 20)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-2 - 5) + 9 - -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from psdko?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 7*q - 4. Let g be x(8). Suppose -5*i + 2*i + 3*b = -3, -4 = 2*i + g*b. Find the second derivative of -13*m + 3*m**5 + i*m**5 + 17*m wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 915502 by 457751.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3\/4 - 2445*g**2\/2 + 44415*g\/4.\nAnswer: -5*g*(g - 9)*(g + 987)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h - 4*h**2 - 4 + 0*h**2 + 3*h**2. Suppose 2*t + 3*t + 5*g - 25 = 0, 0 = 4*t - 2*g - 20. Give n(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1221, -1191, -1161, -1131?\nAnswer: -1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 442117809 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 63664. Let p(z) = -17*z. Give m(p(b)).\nAnswer: 289*b**2 + 63664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 1422 = 3*b - 1420, 4*b - 24 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - 4*i + 5*i)*(176*i - 10*i - 99*i) as z*i**2 + a + n*i and give z.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.0708 + 25593942\nAnswer: 25593942.0708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + -13. Is -36 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9481537 divided by -231257\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3. Let d = 6684\/11 - 60134\/99. Factor d*t**2 + 8\/9*t**4 + 0 + 10\/9*t**3 + b*t.\nAnswer: 2*t**2*(t + 1)*(4*t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -6 + 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 132 - 97 = 3*t, -a - 5*t = -37. Calculate the remainder when 3130 is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 11:22 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933 at least 1933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sslssssgssslsssllll?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 16 + 3*g + 0*g - 6*g + g**2. List the prime factors of v(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5700)\/(-18) + 2\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27378 and 513?\nAnswer: 520182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 42 = -5*o, -3*o - 5*w = -0 + 38 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4113 = 96*o - 324*o - 229*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 - 57*b + 415. Give a(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/95*(-9585)\/17253.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4086825?\nAnswer: 3, 5, 29, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n. Let m(h) = -9*h. Suppose -2*y - 40 = 2*y. Let b = y + 6. Let k(q) = b*m(q) + 7*i(q). Let g(j) = -4*j. Calculate k(g(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6 - -41)\/((-2)\/(-6))?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -541*a - 23583000 = -562*a. What is a rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**3 + 4809*l**2 - 4809*l**2.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1365621620 to the nearest integer?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11796375?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3995062007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*f + 155. Let c be 232 + 0 + 12\/(-15)*(-75)\/30. Let y = f + c. What are the prime factors of y?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 654436960*m**4 + 590444565?\nAnswer: 2617747840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**3 + 2*z**2 + 6*z - 7. Let u(n) be the first derivative of 13*n - 4\/3*n**3 - 11\/2*n**2 - 7\/4*n**4 - 11. Calculate -11*b(t) - 6*u(t).\nAnswer: -2*t**3 + 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311 + 18 = -v. Let n = -197 - v. Let r(z) = z**3 + 3*z**2 - 4*z. Let l be r(-3). What is the greatest common divisor of n and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2 + 3*r + 3*r**2 + 2*r**3 - r**3 + 1 - 3*r**2. Let p be 4 - (-1 - (-4 + 2)). Calculate b(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 0*x - 2*x + 1 - x + 6*x. Let r be m(3). Suppose -5*y = -r*y. Solve 2*d + 0*d + 8 = y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxuxoyuoooy. What is prob of picking 1 u and 3 x?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/2523?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 41 = -z. Let n = -202 + z. Let m = n - -245. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 31*w + 41. Let m = -0.09 + 0.1. Which is the third biggest value? (a) w (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*k = -0*x - 78, -34 = -2*x + k. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 5*3\/(4 - 1). Suppose 4*t - n*j - 10 = 5, -2*j = 3*t + 6. Suppose 0*b - b + 3 = 0. Solve t = -b*y - 2*q - 4, -6*y + 4*y = 2*q + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 33*u**2 - 2*u - 25. Is s(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 = -2*d. Let p = -56 + 34. Let s = d - p. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 2. Let r = 22 + -67\/3. What is the nearest to -1 in 0.5, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3265\/6006 + -1\/546. Let l = -1.1 + 4.1. Let d = -1 - 1. Which is the third biggest value? (a) l (b) d (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, x: 1, b: 2, y: 1, u: 1, i: 2}. What is prob of picking 1 x, 1 i, and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 12:26 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 89 (b) 2 (c) 5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(8) + -4 - (sqrt(22) - sqrt(1408)*-4)\/sqrt(11))**2*4.\nAnswer: -38940 - 6200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 6*o**2 + 11*o - 26. Let h(x) = -x**2 - 16*x + 6. Let w be h(-16). List the prime factors of k(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from {o: 14, d: 1}?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10, s: 6, r: 4}. Give prob of sequence rsds.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w + 3. Let y(s) = -2*s**3 - 7*s**2 + 4*s + 17. Let a be y(-5). Let i = -74 + a. What is o(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 30. Suppose h - r = -5. Let u be 6*3\/h*1. Solve -u*n + 3*z = -0*n + 5, 5*n + z = 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 500 or 490?\nAnswer: 490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 8*n - 35. Determine u(-7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - z**2 + 4*z)*(-3*z + z**3 + 3*z) + 3*z**5 + 0*z**5 - 4*z**5 - 2*z + 2*z - z**5 + 5*z**5 - z**5 - 3*z**5.\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (37 + -32 - (11 + 0))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -131, -170, -229, -314, -431, -586?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**7\/840 - d**6\/360 + d**3\/3 - 2. Let j(s) be the third derivative of z(s). What is the third derivative of j(o) wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 12:06 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 5\/(-55)*22*-2*218\/64.\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -109*u**2. Let c(k) be the first derivative of k**2\/2 - 97. What is z(c(p))?\nAnswer: -109*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259, 222, 185?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*a - 22822*a**2 - 71*a + 22*a + 25*a + 11434*a**2 + 11382*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 1) + (-600)\/108. Let i = m - -8\/9. Let q = -1 + -1. What is the nearest to i in q, 4, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/47 - 53\/282. Which is the nearest to -5? (a) 4 (b) 6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (90\/(-108))\/(2\/(-12)). Is 1498 + c + 12\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 56 + 97. What is the greatest common divisor of t and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -11*w**6\/360 + 2*w**3 + 4*w**2. Let f(l) be the first derivative of a(l). Let o(d) = -3*d. Give f(o(g)).\nAnswer: -99*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 635371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1199 + -3263656556.\nAnswer: -3263656556.1199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b - 5*b - 150*b**3 + 26*b**2 + 0*b - 218*b**3.\nAnswer: -368*b**3 + 26*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**3 - 43*i**2 + 26*i - 1. Let d = 719 - 736. What are the prime factors of y(d)?\nAnswer: 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6379294 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*h**2\/7 - 113900*h\/7 - 37966\/7.\nAnswer: -2*(h + 18983)*(3*h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*x - 4*l, 2*x = l + l + 10. Let o be (3 - 6)*(1 - x). Let w = 8 - 6. Which is the third smallest value? (a) 2\/9 (b) o (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 198\/17, 3, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 28 + 8, 42 = q - 2*g. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1648 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/7, 18, 2, -2\/3, -1\/4, 90 in descending order.\nAnswer: 90, 18, 2, 10\/7, -1\/4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from {u: 1, f: 5, i: 1, k: 2, h: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2781.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73962?\nAnswer: 2, 3, 7, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 6. What is the tens digit of l\/(-6)*2 + 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 5*m - 16. Solve 2*a = -3*a - m*c - 16, 0 = 2*c + 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -26, -54, -98, -164, -258?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**5\/5 + 6416*d**4\/5 + 18996*d**3\/5 - 345688*d**2\/5 + 41216*d + 1844352\/5 = 0.\nAnswer: -1601, -9, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z - 5*x + 42 = 0, -z + x = -18. Calculate the remainder when 259 is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -552285272143 - -0.13?\nAnswer: -552285272142.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -87, -117, -167, -243, -351?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n. Let u(h) = 10*h. Let w(r) = -r**3 - 5*r - 14. Let y be w(0). Calculate y*b(q) + 4*u(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from {c: 1, i: 1, s: 6, h: 8, o: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 4*f + 14, -5*f - 5 = y + 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 7. Let p be -1 - (4 + 1 + -3). Let i be c(p). Suppose -i*n = 8, 0*y = -3*y - n + 19. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -136*q - 1320. Is 168 a factor of a(-48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -273f35 - 0?\nAnswer: -273f35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 - 68*j**3 + j - 42*j**3 - 47*j**3 + 154*j**3 - j.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -213 by 213.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -194*m - 421. Determine i(-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, c: 1, m: 4, u: 1, r: 3}. What is prob of picking 1 c and 1 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831.42176 rounded to the nearest ten?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6916 (base 10) to base 16\nAnswer: -1b04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 11:25 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 + 10 = 4*i. What is the lowest common multiple of 10 and i?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/5*25\/46 and ((-170)\/8 + 7)\/((-6)\/5)?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2910.89 - -2911. Let x = 1.09 - 1.19. Which is the fourth smallest value? (a) x (b) 2 (c) p (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iswu when four letters picked without replacement from uiwuiiuususuwuuwiu.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a + 8 = 0. Suppose -94 = a*l - 19614. Suppose l = -z + 290. Round z to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 11, 5, -4.4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 10*r**2 + 13*r - 14. Give i(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.02 + 0.98. Let m = c + -3. Let i = -323.5 + 323.9. What is the closest to 2\/9 in m, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 + -13.5. Let m = u + 16. Let r = 3.489 - 4.489. What is the second biggest value in r, 1\/3, m, -1\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348849158.\nAnswer: 2, 7, 19, 223, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 126 in 6, -5.5, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -9 - (-3 + 3 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u**3 + 77*u**3 + 2*u - 342*u**3 + 127*u**3 + 48*u**3.\nAnswer: -76*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 v when three letters picked without replacement from {v: 1, z: 1, h: 9, m: 1, k: 2, u: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1 + 6*q + 3 + 0. Let u be v(3). Solve -4*t + 0 = u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -175526 and -175579 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, -1099, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k. Suppose 3*i = -5*t + 10 - 28, -5*t + i = 34. Let w(q) = 0*q + 0*q + 2*q. Give t*w(f) + 13*v(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4)*-8*1. Let s be (-11)\/(-2) - 20*20\/800. Put s, u, 2 in increasing order.\nAnswer: u, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 4\/7 (c) -30 (d) 413 (e) 3 (f) -139.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -443\/5, -10\/47, 11?\nAnswer: -10\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -14*u + 142 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9072 (base 10) in base 9?\nAnswer: -13400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6*n - 12 = 0. Let z(g) = -g**3 + 7*g**2 - 4*g + 2. Let t be z(n). Differentiate -4 + 8*k**4 - 1 - t*k**4 wrt k.\nAnswer: -72*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4629887674?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/21372 and -23\/5304.\nAnswer: 726648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/4? (a) -11\/2 (b) -2 (c) -1\/7 (d) -108\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/5 - -2) + 2. Solve 2*j = 4*g + 4*j - 10, -g - n*j = 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 4 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/28 - 25\/504. Let p = w - 1\/9. What is the second biggest value in p, -4\/11, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*z + 3*z - 4*c, 4 = 5*z - 3*c. Suppose -4*a + 3*q = -0*q - 313, 161 = z*a + 3*q. Suppose 0 = 4*x - a - 17. Is x a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242794, -485611, -728428, -971245?\nAnswer: -1214062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**2 + 0*o**2 - o**2 - 2*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4872478011 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121 + -107. Let y = 39 - 4. What is the highest common factor of y and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 515\/3 in 5, -1\/3, -186, 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s + 142 + 109 - 5*s - 251.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, z: 4, y: 1, t: 1, a: 3, f: 4}. Give prob of sequence fa.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3) - 1655\/(-3). Suppose z = 1, -3*p - 2*p = -4*z - f. Let q = p - 62. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159215852 to the power of 1\/2, to the nearest integer?\nAnswer: 12618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(99\/6)*24\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 11 = -4*r, 4*r = -3*c - 145 + 128 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/36 of a hour?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2, 0.2, -0.052.\nAnswer: -0.052, 0.2, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -6 (b) -71 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 725 - 719 = 0. Sort 229, s, -1 in increasing order.\nAnswer: -1, s, 229","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-6))\/(110\/(-1320)). Let f(t) be the second derivative of t**2 - 1\/3*t**3 + 1\/12*t**4 + 0 + h*t. Determine f(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + -48.2. Let s = o - 1.7. Which is greater: s or -2\/15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96196296 divided by 48098148?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**5\/60 + 8*z**3\/3 + 14*z**2. Let c(i) be the first derivative of q(i). Let n(l) = -12*l. Determine c(n(y)).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 12:41 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1, -4, 2 in ascending order.\nAnswer: -4, 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 17. Let t be b(14). Let k be (-1)\/(-9) - (-3)\/(-9). What is the nearest to -2\/7 in 1\/5, k, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -4, -244 in increasing order.\nAnswer: -244, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -2\/3*z**3 + 4 + 0*z + 0*z**2. Let h(k) = -k + 0 + 0. Determine q(h(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**4\/20 - 22*g**3\/15 + 41*g**2\/10 - 4*g - 1274. Let c(m) = 0. Calculate m.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -2.35 to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*-1*(-3)\/18. Let m be 2\/(-11) - (-7)\/(308\/228). Sort n, m, -8 in increasing order.\nAnswer: -8, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 10:13 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 5*f + 8, -774*z + 4*f - 8 = -778*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1164 and 203506?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -3\/5, 0.5, 3\/8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -61. What is the remainder when (44\/(-10))\/11*-170 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5169 divided by 1723.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1dd (base 14) to base 12\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 5*t = 10. Suppose -a - 116 = -3*a. Suppose 5*k - 5*v = 80, a = 4*k - v + 3*v. Solve 2*o + 7 = -t*w + 28, 3*w - k = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*g + 544 = -150*g. Sort 4\/7, g, -2\/5 in ascending order.\nAnswer: g, -2\/5, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17217610 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**4\/12 + 13*g**3\/6 + 4*g**2 - 284*g. What is u(15)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 15*t. Let g(i) = 159*i. Let a(r) = -17*r. Let q(k) = 72*a(k) + 9*g(k). Determine c(q(u)).\nAnswer: 3105*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 283 - 386b?\nAnswer: -35a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 748384*p - 748459*p + 225 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 + 56.665. Let z = b - -0.335. Let y be ((-21)\/2)\/(0 + 3). What is the smallest value in z, 5, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -658898 - -538.\nAnswer: -658360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -0.217, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 268 + -105. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23.28 times -31\nAnswer: -721.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 353045?\nAnswer: 1059135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6\/w)\/(w**5*w))\/(w**(1\/12)\/w*w*w**(-1)) assuming w is positive.\nAnswer: w**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -14*h + 26. Let d = -416 + 431. Which is greater: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(-48*(-37)\/7104*6\/20).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*s = 4*n - 19, s + 12 = 2*n. Calculate the remainder when 9 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3168)\/(-60))\/44)\/((-4)\/(-230))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -6. Let j = -13 - -37. Let o(x) = 1 - j*x - x**2 + 24*x. Give o(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -389169?\nAnswer: 38916c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-10 - -2)) + 6 + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**2*w**2 - 428*f**2 + 3*w**3 wrt w?\nAnswer: 4*f**2*w + 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 7\/(-2))*(-1 + -1). Suppose -29*a = -i*a - 224. What is the lowest common multiple of 676 and a?\nAnswer: 4732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -11*b - 19. Let r be d(-2). Solve -r*j + 8*v = 3*v + 31, 1 = 2*j + v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.298 and -0.3.\nAnswer: -1.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 + 2*f**2 - 2*f + 1. Let x be c(1). Suppose 4*z = -5*b + 91, 3*b - 4*z - 27 = 2. Solve -b = -x*y - 0*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6))\/(14\/1533). Let s = 52 + n. Let o = s + 45. Calculate the remainder when 118 is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/16*112\/(-24)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20343 - 20510. Is g greater than -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times -0.0552?\nAnswer: -0.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, e: 2}. What is prob of picking 3 f?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2 - 19104*f - 3285698 = 0. Calculate f.\nAnswer: -169, 9721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -95?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10597 + -3854. Does 109 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36881.85 centuries to years.\nAnswer: 3688185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 3*g - 3*g + (0 - 3 + 4 + (-4 + 3 + 3)*(0 + 4 - 2))*(2 - 6*g - 2))*(g**2 - 3*g**2 + g**2)*(253 - 253 - 25*g).\nAnswer: -775*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t - 7980 + 3987 + 3993.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 9593 (c) 2\/11 (d) -17.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 12:32 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 9*x**2 - 14*x - 37. Let h be (30\/8)\/(75\/(-200)). Let y be g(h). Let s be 0*(-2 - 9\/(-6)). Solve 3*a - 6*a - y = s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8809 = -7*w - 570. Suppose 6*x = 4127 + w. Suppose 13*q - x - 1001 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/7 + 897060*c\/7 + 8073864\/7.\nAnswer: -4*(c - 224274)*(c + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -34 - (-7 - (9 + -2 + -16 - -8))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 + -130. Let z(g) = -g**3 - 4*g**2 + g - 1. Let r be z(-5). Let y = q + r. Sort y, -10, -0.3, 0.2 in ascending order.\nAnswer: -10, y, -0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4))**(-7)*z**(4\/5)*z*z*z*z\/z**(-10))**(-19\/4) assuming z is positive.\nAnswer: z**(-2033\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25*u**2 - 16640050*u + 176447890?\nAnswer: 50*u - 16640050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/30 and -17\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (660\/(-8))\/((-2)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/14*(-56)\/16\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 108, 242, 430, 672?\nAnswer: 968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 - 8*k**2 + 7*k - 1. Let q be c(3). Let r be (510\/595)\/(12\/(-7) + q). Solve w = r + 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + j**2 - 3*j**2)*(133*j + 15*j - 11 + 11).\nAnswer: 148*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 58.74775+-5\nAnswer: 53.74775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 473 + -293. What is the greatest common factor of p and 450?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -d - 0*f + 20, -5*d = 2*f - 76. Suppose -25 = -m - d. Solve 3*o - 7 = i + 1, -2*i = 3*o - m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 15 - 12 = 0. Let x(q) = -2*q - 3. Let y(b) = 3*b + 9. Let n(v) = u*y(v) + 8*x(v). What is n(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*f + 3, -3*v + 0*v = f - 6. Suppose q - v*k - 6 = -q, -q = -4*k - 3. Solve 6 + 4 = w - 2*o, -2*w = q*o + 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1650*b + 825*b + 64 = -6*w - 824*b, b - 38 = w + 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 771, -2, 4 in descending order.\nAnswer: 771, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3359487 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35b - -9?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-30) + (-1 - 120\/(-75))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/1 + 14 + -8 + -2. What is the tens digit of 265 - 1*(10 - o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000326 rounded to 5 decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 13, f: 1, m: 6}. Give prob of sequence mfl.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Express 126 + 0*g**3 - 3*g**3 + 4*g**3 - g - 120 as r*g**2 + w*g**3 + a + t*g and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20 (b) -2 (c) 10 (d) 4\/3089 (e) -3 (f) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480 is divided by 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -441087131*f**2*t**3 + 209436242*f*t**3 wrt f.\nAnswer: -882174262*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1 (b) 5 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2645587 less than -0.1?\nAnswer: -0.3645587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 3*p + 2. Suppose 4*h - 4*l + 6 = 14, -3*h - 18 = 3*l. Let k(s) = -3*s**2 + 10*s + 7. Let q(j) = h*k(j) + 7*x(j). Factor q(z).\nAnswer: -z*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1134.00739 to 1 dp.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of -5 - (-255 + 27\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**3 + 13*l**4 - 2 + 468*l**4 + 90*l**4 + 830*l**4 to z + h*l + m*l**4 + j*l**3 + k*l**2 and give m.\nAnswer: 1401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*h - 5*i - 596 = 0, 0 = 4*h + 2*i - 2296. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, b: 13}. Give prob of sequence kkk.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -17*m**6\/60 - m**4\/24 - m**3\/6 - 5*m**2. Does 16 divide q(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 37, 1, -3, 5976, -4, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127419029 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*w - 66 = -201*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6006\/(-507) - 14\/91?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v = -32 + 62 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50 in -2970, 1\/17, -2\/5?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144124318.\nAnswer: 2, 13, 5543243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 39. Let m be ((-24)\/(-150))\/(i\/15). Let j be (-1)\/(-7) + -46*(-1)\/(-28). Which is the nearest to m? (a) j (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147 by 63.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + g**2 + 4*g - 7. Let d be i(3). Let f = d + 17. Let h be (-1 + 9\/6)*6. Solve -h = -5*u + 4*n, -f*n - 2 = -2*u - 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1518)\/(-110))\/(2\/20*-2) - (-58 + 62)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**3 - p**3 + 2*p**3 + 0*p**3 + p**3 + 0*p**3 + (2*p - 4*p + 4*p)*(-2*p**2 + p**2 + 0*p**2) + (-1 + 1 - 4)*(9*p**3 - 150*p**3 + 16*p**3).\nAnswer: 498*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a factor of 652193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 - -105. Suppose 4*u = 12, 33 = 5*t + u - 0*u. Let l(p) = p**2 + 8*p - 4. Let o be l(t). What is the highest common factor of o and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/148941 and -85\/66196?\nAnswer: 595764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -5*j - 16, -j = -6*c - 86 + 106 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -12.8. Let z be (0 + -1)*1*20. Let y be 1*(-1)\/((-4)\/z). Which is the third smallest value? (a) y (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {y: 2, z: 2, r: 1, o: 1, v: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 - -85. Let y be 21\/(-7) + 10 + (q - 1). Solve 0 = -y*m - 5, -5*r - 4 - 3 = 2*m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3165.95 and -2.3.\nAnswer: 3163.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -18*w - 5. Let a(v) = 36*v + 9. Determine -5*a(q) - 9*y(q).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*z - 95*z + p = -5, 2*z = 2*p - 2. Solve r = 2*k + 3*k - 6, 0 = 5*r - z*k - 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -414 + 413.99999149. Round o to 7 dps.\nAnswer: -0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.03, -2, 1\/7, 0.04, -3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1214, -2436, -3658, -4880, -6102, -7324?\n\"Answer: -1222*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*z - 477*z - 425*z.\nAnswer: -805*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1\/2, 137.79, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*x + 2*x - 5 = 0, 198*i + 5*x = -56*i - 767 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 10. Solve 5*y - 3*k + q = 0, -4*y = -7*y - k + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - -0.3. Let m = -3.1 - n. Which is the closest to -2\/5? (a) 4 (b) 2\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/2 - 45*v**2 - 2025*v\/2 = 0. What is v?\nAnswer: -45, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/((-8)\/((-80)\/(-18))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 193*d**5*o**2 - 2*d**3*i**3*o - 5*d**2*i**2*o**2 + 2*d*o**2 + i**3*o**2 - 21*i**2 wrt d?\nAnswer: 11580*d**2*o**2 - 12*i**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**5\/60 + u**4\/18 - u**3\/18 - 12*u. Determine h, given that p(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**6\/40 + p**5\/60 + p**4\/24 - 3*p**2. What is the units digit of l(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221001011000 - -1?\nAnswer: 1221001011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/364 and 109\/7168.\nAnswer: 93184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, -148, -384?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + 1 - 1 + (-2 + 1 + 2)*(4*u - 4*u - u**3) - 5*u - 2*u**3 + 5*u + 5*u**3 + 0 + 0 + (34 + 8*u**2 - 34)*(u - 4*u + 2*u).\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2108 is divided by 300.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2470)\/(-19))\/13)\/((-1)\/(-5)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*d = -27726 + 8421 for d.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -502046*o**2 + 4300*o + 7?\nAnswer: -1004092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 68*c**7\/105 - 58*c**3\/3 - 85*c**2. What is the first derivative of v(z) wrt z?\nAnswer: 544*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**4\/4 + 2*y**3 + 7*y**2\/2 + 6*y - 60. Suppose -317*l + 12 = -320*l. What is r(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 9. Suppose -2*o + l + 2 = j, -5*l - 2 + 12 = 0. Solve 0 = -3*w - 5*q + 2, -1 = 3*w - o*q + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -21*m - 13. Let r(w) = 11*w + 7. Let q(g) = -3*f(g) - 5*r(g). What are the prime factors of q(7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -6. Suppose 2*f - 41 - 28 = -5*q, -3*f = 5*q - 91. Calculate the greatest common factor of f and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504*h**5 - 4840*h**4 + 98954*h**3\/7 - 86592*h**2\/7 - 10890*h\/7 = 0. What is h?\nAnswer: -1\/9, 0, 33\/14, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8243108 and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-262)\/(-2) - ((1 - -1) + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(11)*2 + -5)**2 + (-2*sqrt(275) + -4)**2.\nAnswer: 52*sqrt(11) + 1209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1426052.1 months to decades.\nAnswer: 11883.7675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 52132 to the nearest 100.\nAnswer: 52100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5551808 decades to millennia.\nAnswer: 0.005551808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 + 26*j - 2*j**2 - 26*j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -493, -984, -1475, -1966, -2457?\n\"Answer: -491*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 40 = 2*r. Let b be (-2)\/r - 1\/4. Let i be 0 + 12\/(-3) + b. What is the nearest to -1\/3 in -3, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f - 4*f + 10*f)*(-7*f + 11 - 11 + (3 - 3 + 1)*(16 - 16 + 2*f)).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in decades?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 8*w + 12*w = -72692, 4*q - 96939 = 3*w. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-42)*7\/((-35)\/15)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -24. Let q = d + 1. Suppose 0 = 5*k + s - 55, 0*s = s - q. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 33 = 25. Let i be d*(4 - 10\/2). Let p be 0 - i - (5 + -9). Solve p*b = -b + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f + 6. Let o be v(0). What is the highest common factor of o and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 3*l**8\/2240 + l**5\/20 - 5*l**4\/12 - 11*l. Let h(n) be the third derivative of q(n). What is the derivative of h(o) wrt o?\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22895 or 22877?\nAnswer: 22877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6*v = v + 16, 3*f - 4*v + 29 = 0. Let p = 15 - 17. Is f < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 8*t + 5. What are the prime factors of q(7)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2516 and 129056.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**4\/24 - 4*g**2. Let w(d) = d. Calculate 3*w(r) + 2*x(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (7 - 5) - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 + 0.04999931. What is f rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28048365 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + (sqrt(28) + sqrt(224)\/sqrt(8)*-4)\/(sqrt(44)\/sqrt(539))) + 5)**2.\nAnswer: -420*sqrt(7) + 12373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2190 - 2100. Suppose 0*k = 3*k - 15. Suppose 4*i = k*i - d. Calculate the highest common factor of 20 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - o + 11 = -0, -4*o + 26 = 2*g. Let s(r) be the first derivative of r**2 - 4*r - 3. Let v be s(g). Solve 2*q = 8, -23 = -3*k - v*q - 0*q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360\/900*(-250)\/(-8)*2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 252 or 251?\nAnswer: 252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(36)\/sqrt(4)) + 1.\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52 + 57 - (7 - 0)) + 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(1*-4*(-3)\/18). Solve 0 = l - g + 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = o + 4*p - 45, -5*o + 5*p = -100. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29919, 29968, 30039, 30132, 30247, 30384?\n\"Answer: 11*u**2 + 16*u + 29892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3427 or 0?\nAnswer: 1\/3427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 846570*f. Let d(c) = -25*c. Determine d(q(x)).\nAnswer: -50*x**2 + 21164250*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001937 rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -199 (b) 0.05928 (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69534129 divided by 6.\nAnswer: -23178043\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Let t(g) = 3*g + 4. Let j(p) = -4*o(p) + t(p). Let s(h) be the second derivative of h**2\/2 + h - 198. Determine j(c) - 6*s(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1265941?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -1\/7 (b) -5 (c) -0.4 (d) 20\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxeqepeexeeqp. What is prob of picking 3 x?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 12, p: 3}. Give prob of sequence pp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j - 3*j)*(2*j**4 + 1 - 1 + (4*j + 2*j - 5*j)*(0 + 0 - 2*j**3) + 3*j**4 - 2 + 2).\nAnswer: -6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*k = -35*k + a - 6751, 5*k - 8436 = -4*a. Let y be ((-34)\/(-340))\/(2\/k). Is 84 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2565 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**8\/1680 - 7*v**5\/120 + 2*v**3 - 7. Let j(y) be the third derivative of a(y). Find the second derivative of j(p) wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 10*s - s - 6 - 3*s**3 + 41.\nAnswer: -3*s**3 - 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107\/7 - -88*26\/(-8008).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 28 = 0, 5*x - 8*x - g + 2*g = 21 + 14 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6240\/(-117))\/(-32))\/((-2)\/((-96)\/(-20))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44033461 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2 - 4*h**3 + 2 + h**2 - 2*h - 4 + 1. Let v be w(1). Suppose -p - 2*p = 0. Put -3, 4, p, v in decreasing order.\nAnswer: 4, p, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 + 91. Solve h = f + f + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 81\/10 in -2\/5, -2\/3, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1419660673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 5*i**2 - 4*i - 1. Let x be r(3). Suppose 3*b + 14 = x*g, 0*g = -4*b + 2*g. Solve 4*m + 22 = b*w - 0*w, -2*m + 4 = 4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 0 + 17\/28*l**8 + 1\/30*l**6 + 0*l**5 - l**2 - 34*l + 0*l**7 + 0*l**3 - 23\/12*l**4. Find the third derivative of s(w) wrt w.\nAnswer: 4080*w**3 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mze. Give prob of picking 1 m and 1 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 72\/5, -3016.8, -0.4, 0.4, 2\/3?\nAnswer: -3016.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62\/3 + -21. Let g be ((-6)\/9)\/((-28)\/114). Let s = -309\/119 + g. Which is the nearest to 0? (a) -0.5 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -219 in -9, 0, -2\/13?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 980\/9 - 109. Suppose 4*s = -0*s. Which is the closest to 2? (a) o (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -77\/6562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57 - 71 - (1 - -7)) + (4 - -2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - ((8 - 4 - -5) + 5)) + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/40828288 and -89\/1759840.\nAnswer: 204141440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21988394 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-4\/15)*j*j*j*j*j**(-2\/19)*(j**(-7))**22 assuming j is positive.\nAnswer: j**(-42571\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*33\/(-9)*3. Let g = 15 - t. Let q = 8 - g. Put 2, 5, q in ascending order.\nAnswer: 2, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**3*z**2 + 15104*r**2*z**2 + r*z**2 - 52938*z wrt r?\nAnswer: -12*r*z**2 + 30208*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-14)\/(-8))\/((-3)\/24)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20687 and 496337.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 95. Let h(u) = -10*u - 18 + b - 33. Let s(a) = 15*a - 11. Determine 8*h(x) + 5*s(x).\nAnswer: -5*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 451792519?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/35 - 79042\/(-924). Let n = -782\/11 + p. What is the common denominator of (3\/(-15))\/((-4)\/(-110)) and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3951416 is divided by 116?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + -61. Let b = -95 - q. Suppose 10*c - b*c - 9618 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 11*t**2 + 10*t**2 - 7*t + 13. Suppose 0 = -a + 4 - 15. What is the common denominator of d(a) and 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 998619609?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**3 + 7*q**2 - 199*q - 1136. What is b(-5)?\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 - 7377*r**4 + 740072*r - 740072*r + (r**3 - 2*r**3 + 2*r**3)*(-r + 6*r - 3*r) to a*r**4 + y*r**3 + l + j*r**2 + k*r and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-14\/9)\/h*h\/((h*h*h\/h**(-9)*h)\/h)*(h**10*h)\/h**2)**(-3\/5) assuming h is positive.\nAnswer: h**(41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6010.469 grams?\nAnswer: 6010469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 125953, -10, -11?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 2. Suppose 0 = b + b. Determine r(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10ac2ab (base 13) to base 14\nAnswer: -97aca2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 631 (base 8) to base 16\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17648?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65750 and 8416?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 156829, 313572, 470315, 627058?\n\"Answer: 156743*k + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-64))\/(2\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -942 divided by 6\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.0011+0.6\nAnswer: 0.6011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 337987809 - 337988083.999853. Let c = -3.71 + -271.29. Let w = c - o. What is w rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122300 rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.406 and 3.\nAnswer: 7.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-189)\/(-126))\/((-3)\/(-32) - 0). Let t be 42\/9 - (2 + d\/(-12)). Solve -t - 6 = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-13)*273\/(-1008)*(-16)\/(-4)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 20 - ((-2)\/(-9) - 0)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 72.83182ml?\nAnswer: 0.07283182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 4*z**2 - 3. Calculate the remainder when a(-3) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.026516 * -0.4.\nAnswer: 0.0106064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -8*h. Suppose h = -5*j + 2*i + 202, -2*j + 2*i - 4 = -80. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-102)\/9)\/((-10)\/15). What are the prime factors of 669\/51 + (-2)\/n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -0.1945.\nAnswer: 1.3615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 4 + -4 - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -9*i + 2*t - 2796, 0 = -4*i - 4*t - 1880. Is (13 + i)\/((-2)\/61) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -22 + 30 - 33?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*l - 101 = 84 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10556764?\nAnswer: 2, 47, 233, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1760 = 1915. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2*q**2 + 236*q + 6 - 8 - 2.\nAnswer: 2*q**2 + 236*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 47604*-0.09\nAnswer: -4284.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1 + 71*l**2 + 139*l**2 + 3*l - 3. Suppose 95 = 155*j - 60*j. What is the tens digit of g(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 138, 364, 758, 1368, 2242, 3428, 4974?\nAnswer: 6928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-h + 0 + 0)*(3 + h - 3) - 5*h**2 - 11*h + 11*h)*(-h + 3 - 3)*(0 + 2*h + 0).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3177 + 57041\/18. Suppose -5*c + 2*o - 5*o - 20 = 0, -c - 6 = o. Find the common denominator of c\/(-4) - 4029\/476 and z.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*r - 2*v - 9, 3*v + 1 = 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15533*c**2*r - 3*c**2 + 2*c*r - 15601*c + 4*r - 6 wrt r?\nAnswer: -15533*c**2 + 2*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28356325?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1621*p**2 - 106801*p + 106801*p - 300*p**3 wrt p.\nAnswer: -1800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -33*h + 348. Let a be j(16). Is (56\/(-7) - a) + 7 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a5b + 4?\nAnswer: -1a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4*g - 179 = 3*w - 410, w = -3*g - w + 79 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 2*v**3\/3 + 7*v. Let k(m) = -2*m**2. What is k(c(j))?\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2 - 3*k**2 + 4*k**2 - 6 - 2*k**2 + 3*k. Let o(c) = -2*c**2 + 5*c - 7. Let d = 250 - 245. What is d*a(w) - 3*o(w)?\nAnswer: w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*s - 5, 5*c + 5*s = -25. Suppose c = 5*u - 4*d - 177, 0 = 2*u - 4*d - 46 - 32. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253324.\nAnswer: 2, 63331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-9) - 3517\/(-9). Let w = -1922\/5 + v. Find the common denominator of 27\/2 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0 = 4. Let g = -6 + 2. Let p = g - m. Solve p = 2*h + 2*t, 2*t + 15 = -t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*j**3 - 12*j**3 + 12*j**3 + (0 - 2*j**2 + 0)*(4*j - 6*j + j).\nAnswer: 25*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 1:31 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37974875.\nAnswer: 5, 461, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -6, -26, 5, 34, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - o - 10*o.\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.19 and 4.\nAnswer: 1.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*x - 10*x - 38. Suppose -x*n - 2352 = -45*n. Is 37 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3189 - 19267\/6. Calculate the common denominator of 95\/2 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14296112197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**4 - 24*u**3 + 5*u**2 - 2*u + 8. Let s(z) = 2*z**4 + 74*z**3 - 14*z**2 + 7*z - 28. Let c(p) = -7*k(p) - 2*s(p). Let c(w) = 0. Calculate w.\nAnswer: -7, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**3 - 1988332*p**2 + 3976670*p - 1988336 = 0.\nAnswer: -994168, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 129 = -3*p, -9*p = -10*p + 1. Let o be (48\/7)\/(1\/7). Let f = o + i. Solve 0 = -3*x - 5*d - 4 - f, -3*x + 3*d + 21 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 959644 to the power of 1\/2, to the nearest integer?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, w: 1, g: 2, d: 3, f: 1, r: 1}. Give prob of picking 1 r, 1 o, and 2 g.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 14 + 6 - (180 + -137)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.15? (a) 0.1 (b) -5 (c) -261 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -290*g + 282*g - 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*j + 112. Calculate the remainder when 83 is divided by j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275 divided by -3.\nAnswer: -275\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 15*r - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 723 or 716?\nAnswer: 716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(11) + 3)**2 + -1.\nAnswer: -6*sqrt(11) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d1ba (base 15) to base 8.\nAnswer: 271264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from ufaearrakarr.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -24\/7, -11, -14, -7\/5 in descending order.\nAnswer: -7\/5, -24\/7, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -41 - -26 - (46 + (-1 - 0))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101 + 1021121211?\nAnswer: 1021120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5169936.\nAnswer: 2, 3, 37, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62279 + -43316. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1501118*d**2 + 158*d + 596632558.\nAnswer: -3002236*d + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 7*h**2 - 10*h. Let n(d) = d**2 + 4*d - 8. Let m be n(-6). Suppose m*f = 3 + 13. What is the remainder when x(f) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) 2\/7 (c) -21\/44 (d) -87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 6 = r + 3*r, 4*c - 10 = -2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*n**2 - 48\/5 - 9*n.\nAnswer: 3*(n - 16)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 0.03, 7.83 in decreasing order.\nAnswer: 7.83, 3\/5, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1397, 1396, 1395?\n\"Answer: -q + 1398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d - 20. Let f be k(11). Calculate the highest common factor of f and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**2 - 2*p**2 + 4*p**2)*(-2 - 3*p**2 + 2) + 0*p**4 + 2*p**4 - p**4 + (-3*p + 2*p - p)*(-2*p + 2*p + p**3).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -127637159*n**5 - 42029604*n**2?\nAnswer: -7658229540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61910 divided by 82.\nAnswer: -755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 610 divide 40865705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 39 = 4*h + 162, 0 = -3*l - 15. Let r(p) = -p**2 - 27*p + 3. Let x be r(h). Which is the third biggest value? (a) x (b) -26 (c) -4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - 0.4. Let p = -0.292 - -0.292. Suppose 2*d - 3*b - b = 0, 4*b + 8 = 4*d. What is the closest to c in p, d, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, b: 9, r: 1, w: 2, a: 7}. What is prob of picking 3 a?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/18, -1\/5, 4, 3\/2, -71 in decreasing order.\nAnswer: 4, 3\/2, -1\/5, -7\/18, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 6*g**2 + g - 10. Let m(t) = t**3 - 7*t**2 - t + 10. What is -6*m(x) - 7*p(x)?\nAnswer: x**3 - x + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 301?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(275\/265) + 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-120)*2\/3\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oewawaateaawse. What is prob of sequence eee?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**5 + 795*x**4 + 69690*x**3 + 1973130*x**2 - 4158525*x + 2114907 = 0. What is x?\nAnswer: -89, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 3 - 20) + 480 + -488.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1124 is divided by 371?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 0 + 3*a + 0*a**2 - 1\/2*a**3. Let z(d) = -2*d. Give z(q(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*o - 26131 = h, 0 = -5*h - 4*o + 32664. Suppose 5*p - g = 16313, g - 4*g = 2*p - h. Let m = 42443\/13 - p. Is m > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 16) + 29 + (-17 - 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10900 - 2*m + 63*m**3 + 2*m**2 - 10910 + 21810 to t*m**3 + j*m**2 + b + f*m and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 3, -603 in increasing order.\nAnswer: -603, -10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 i when two letters picked without replacement from oigcocc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 18367601?\nAnswer: 18367605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181032 is divided by 469?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**1*t**(2\/19)\/t*(t\/(t\/((t\/t**(6\/5))\/t))*t)**12 assuming t is positive.\nAnswer: t**(-218\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2259652 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -97 - 244*h**4 + 17 + 278*h**4 wrt h?\nAnswer: 136*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4*o**3 - 2 + (0*o - 2*o + 3*o)*(0*o + 0*o - 2*o**2) + o - 2*o**3 - o)*(-1 + 1 - 5).\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*a + 18. Let t = -9 + a. What is the first derivative of -9*w - 3*w**4 + 9*w - t wrt w?\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -18415032804*c**5 + 875732230296*c**4 + 392176970316*c**3 + 43754441424*c**2 + 11586800*c + 768 = 0.\nAnswer: -2\/9, -1\/7539, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - o - 2*o)*(-5*o + 5*o + 2*o) - 4 + 4 + 3*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700482 is divided by 53883.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(240)*1 - sqrt(240)) + sqrt(240))*4 + sqrt(240))\/(3*sqrt(32)\/sqrt(4)))\/(sqrt(150)*1 - (sqrt(6) - (sqrt(6) - (sqrt(72)\/sqrt(6))\/sqrt(2)))).\nAnswer: 5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 9:26 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t**(-16)*t*t*(t\/t**(7\/3))**(-2\/39))**(2\/77) assuming t is positive.\nAnswer: t**(-3728\/9009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 6*x - 15*o, -11*x = -10*x + 38*o - 33*o - 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = u + 165. Let t be (-1)\/3 - 6\/9. Let l be -3 - 10\/(-2) - t. What is the greatest common divisor of l and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 4. Let o be j(4). Let y be (-53)\/(-7) - 8\/14. Suppose -12 + 40 = y*l. Put 3, o, l in descending order.\nAnswer: l, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**4 - 2*z - 4 - 3 + 3*z**2 - 5*z**3 + 9 as s + b*z + p*z**4 + o*z**2 + f*z**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*r - 3*r, 2*r = l - 211. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149500 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 25*p + 32*p - 76*p)*(-4 + 5 + 0)*(0*p - p - p).\nAnswer: 38*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.252011 decades to centuries.\nAnswer: 0.5252011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6532*u**3 - 13094*u**3 + 6539*u**3.\nAnswer: -23*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.16 + 0.46. Let s = -2.56 - p. Which is the third smallest value? (a) 5 (b) s (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/156 + 63\/13. Solve d*z = z + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/49)\/n**(-14) assuming n is positive.\nAnswer: n**(688\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 113 + -212. Let g = -493\/5 - z. Let 3\/5*j**2 + 0*j**3 - 1\/5*j**4 + 0 + g*j = 0. Calculate j.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -1029.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7766*c**2*y**3 - 2*c**2*y - 4*c**2 - 193*c*y**4 + 114*c*y + 13*c - 4*y + 1 wrt y?\nAnswer: -46596*c**2*y - 2316*c*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2. Let z(m) = 2*m - 2 + 1 + o. Let k(v) = 4*v. Give k(z(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1472 - -3341. Suppose -567 - 371 = -2*a - 4*g, 4*a = -g + w. Suppose -5*p + a = -83. Calculate the highest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28273418 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b + 75 = -2*r - 25, -b - 5*r + 14 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 368045 - 132534. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/3 or 1?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -24*c + 69. Determine y(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5047)\/(-294) + 2\/(-12). Calculate the greatest common factor of 34 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*p\/(p\/p**(3\/5)))\/p*p\/p**2)\/(p**(-2\/15)*p*((p*p*p**9)\/p)\/p) assuming p is positive.\nAnswer: p**(-124\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5978545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*sqrt(1188))\/(sqrt(77)\/(sqrt(448)*2 + sqrt(7))))**2*-3.\nAnswer: -93636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1977.843*0.1.\nAnswer: 197.7843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 5*b - 2*b**3)*(-3*b**2 + 4*b**2 - 3*b**2) - 2*b**5 + 5*b**3 - 5*b**3 - 4 - 93*b**5 + 43*b**5 + 20*b**5.\nAnswer: -28*b**5 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55009 * -4294.\nAnswer: 236208646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*i**2 - 228*i**2 - 380*i**2 - 378*i**2.\nAnswer: -1049*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2526707\/102 - 24771. Find the common denominator of w and 21\/68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten sevenths of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 4*j**2 + 3*j - 7*j)*(-j**2 + 3*j**2 - 3*j**2).\nAnswer: -4*j**4 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-3 + 11) - -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-60) + (-129)\/45?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16519495 greater than 16519495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -26\/19 and 0.268 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 260\/36 + 2\/(-9). Let q = t - 5. Find the first derivative of -1 + 3 + l**3 - q + 3 wrt l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from jeeqjejjej.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2350895476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 9:35 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1710932?\nAnswer: 2, 427733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -4\/23979?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2110731?\nAnswer: 3, 7, 100511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 42. Let a = 10 + -69\/7. Sort u, 0.5, a.\nAnswer: a, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1432, -1485, -1538, -1591, -1644, -1697?\nAnswer: -1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, 19, 106, 227, 382, 571, 794?\nAnswer: 1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*n**2 + 27*n**2 - 11*n**2 - 58*n**3)*((-2 + 4 - 1)*(-4*n + 2*n + n) - 20 - 12*n + 20).\nAnswer: 754*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -510*i - 24 + 62 - 36.\nAnswer: -510*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z - 160*z**3 + 6 + 2*z + z**2 + 9 - 21 + 5 as r + g*z + b*z**2 + w*z**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03426 - 4.03426. Which is the second smallest value? (a) i (b) 2\/11 (c) 6\/11 (d) -2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143010 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - -115. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -834.7 from 0.\nAnswer: 834.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 3:30 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2214434, 4428859, 6643286, 8857715, 11072146?\nAnswer: 13286579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 19*d + 4. Let x be g(19). Suppose -4*k = -2*l + 34, -x*l - 5*k = -k - 8. Let h(o) = -o**2 + 8*o + 1. Give h(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -49*i + 41*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1251 + 3*m + 894 + 1322 - m + 562 - 3066.\nAnswer: 2*m + 963","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 61856042 - 0?\nAnswer: 61856042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152569, 305176, 457781, 610384, 762985?\nAnswer: 915584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598191787 is divided by 1738?\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5119, -54, 5, 42 in descending order.\nAnswer: 5119, 42, 5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/2 - 31769*w\/2 - 2371425 = 0.\nAnswer: -31619, -150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3391159?\nAnswer: 199, 17041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 76*u + 80.\nAnswer: -4*(u - 20)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -690*f**2 + 2086*f**2 - 681*f**2 - 697*f**2.\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -11435245?\nAnswer: 11435252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**2 + 15. Let c(n) be the third derivative of n**5\/20 + 4*n**3\/3 + n**2. Let f be (-1 + 8)\/28*44. Give f*c(m) - 6*t(m).\nAnswer: 3*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 2:55 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 11:09 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12266436 and 403260?\nAnswer: 7332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129717766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**5\/20 - 7*r**4\/24 + 2*r**3\/3 - 79*r**2. Calculate b(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2182, -2237, -2286, -2329, -2366, -2397, -2422?\n\"Answer: 3*w**2 - 64*w - 2121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 89*u**3\/6 + 7*u**2\/2 - 16*u - 3. What are the prime factors of t(3)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249137, -249138, -249139, -249140?\nAnswer: -249141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x + 48 = -28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 - 6*i - 5. Suppose 5*p = 4*d - 20, -p = 4*d - 0*p - 20. Let u(b) = 4*b**2 - 7*b - 6. Let j(v) = d*u(v) - 6*y(v). What is j(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/27)\/((-7)\/(-42)). Let m be ((v\/(-3))\/2)\/((-18)\/54). What is the second biggest value in m, -0.2, -2\/95?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1162 - 5*x**2 + 37*x + 2327 - 1164)*(x + x + 0*x).\nAnswer: -10*x**3 + 74*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3*1*(-2)\/(-16))\/(5427\/(-1206))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 - -39. Let m = k + 16.9. Which is the nearest to m? (a) -1 (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -11. Suppose -a + 2*b - 7 = -3*b, 33 = 3*a + 3*b. Suppose 2*t - 2*s = -0*s + a, 3*s = -k*t + 16. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by -2964.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 2*z - 5. Let g be f(0). Let k be (-17)\/g - (-6)\/(-15). Suppose -5*q = k*o - 163, -5*o + q + 69 = -184. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -432516, -865034, -1297552, -1730070?\n\"Answer: -432518*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207 and 138.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a + 88. Give j(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 11*n**2 - 87*n + 1. Is o(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*q + 6684 = 51*q. Calculate the remainder when q is divided by 94.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6445346021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 11*k - 2, 1078 = 5*w - 4*k. What is the third derivative of w*u**2 - 16*u**6 + 2*u**4 - 10*u**6 + 0*u**4 + 6*u**6 - 7*u**6 wrt u?\nAnswer: -3240*u**3 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875524 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -155, -155, -157, -161, -167, -175?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 7:42 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3542528134 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 332411 - 332416.70007. Let d = -5.7 - i. Round d to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5014*o + 35100. Give j(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6123879 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 20. Let r = -25 - p. What is r rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c75 (base 16) to base 4.\nAnswer: 301311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oworrwsosrsrssseasas. Give prob of picking 1 e and 1 a.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 11*v**2 + 94*v + 2093. What are the prime factors of y(-34)?\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(11)*2)**2*4)*1.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, -2, 3, 1355.\nAnswer: -5, -2, 3, 7, 1355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 480577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3 - ((-20)\/3 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 3*l + 7, 0*m - 3*l = 2*m + 1. What is the lowest common multiple of m and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5768 + -5765. Factor 0*r + 0 - 1\/7*r**i + 1\/7*r**4 + 0*r**2.\nAnswer: r**3*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 132889, -110, -1 in increasing order.\nAnswer: -110, -1, 132889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 60915 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddh when four letters picked without replacement from dhdddh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26714 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.5536 - 0.0464. Let m = -9.3 - y. Sort m, 4, 0.13, 4\/9 in decreasing order.\nAnswer: 4, 4\/9, m, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4118722409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105066720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 21 = -2*j, 4*g - 75*j - 130 + 14 = 121 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137.5 - 138.71. Which is the second biggest value? (a) -5\/2 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 1617*c - 1622*c - 15, 16 = -2*c - 4*a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5555*p - 138729 = 205681 for p.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -0*k - 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlrrtdd. Give prob of picking 2 d and 2 r.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15778*l + 4960*l + 5383*l + 5438*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**0)\/(g**(1\/2)*g*g))\/(g*g**(2\/7))**29)\/((g**(-2\/5))**(-2\/125)\/(g\/((g\/(g*g**(4\/5)))\/g)*g**(1\/2))) assuming g is positive.\nAnswer: g**(-155278\/4375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = -1. Suppose s*r + 3*r = -18. What is the common denominator of 101\/2 and 39\/r*2\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -1\/2 (c) 2\/2393 (d) 0.3 (e) -4\/9 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -38 + -1?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42250207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**4\/4 - j**3\/3 + j - 1. Let m be v(-1). Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**2 - 10*w**2 + 14*w**2 + 13*w**2 to the form u*w**2 + s + t*w and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 + 3395130*m - 8645180787675.\nAnswer: -(m - 5092695)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88158252 and 8?\nAnswer: 176316504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 4*v - 6. Let d be q(6). Let c be d\/3 - (-13 - -1). Suppose -c = 4*u - 66. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20676 at least as big as 20697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**3 + 952*b**2 + 64964*b + 950480 = 0?\nAnswer: -109, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (165\/(-15) + 7)\/((-4)\/1 - -10). Which is the nearest to q? (a) -1\/3 (b) 1\/3 (c) -0.2317 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 4, -2\/7, -2.390905, 3 in increasing order.\nAnswer: -2.390905, -2\/7, -0.2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmompmopm.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 191\/35)\/(6\/(-15)). Which is bigger: -1\/14 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3413 - 3760 = -102*f - 2081 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2))\/(y**(-1\/3)*y))**(-40)\/(((y**(-3\/2)\/y*y)\/y)\/y*y**(-5))**(-14) assuming y is positive.\nAnswer: y**(-637\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19, 43, 79, 127, 187?\n\"Answer: 6*f**2 + 6*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -530, -507, -484?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 + -64. Let y be ((-11)\/(-55))\/((-2)\/(-5)). What is the second biggest value in -2\/11, b, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -82\/3, -5 in descending order.\nAnswer: 3, -5, -82\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 405 and 83934?\nAnswer: 3777030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/sqrt(5) + 4 - 5*sqrt(448).\nAnswer: -39*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1248b (base 12) to base 15.\nAnswer: -7585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -72.\nAnswer: 19\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12133131 + 231?\nAnswer: -12132300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.907 + -0.093. Which is the nearest to 3\/7? (a) w (b) 10 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h + 55. Let m(o) = -2*o + 18. Let g(r) = -3*f(r) + 8*m(r). What is g(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 51549377 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 109200 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -15855 to the nearest 100.\nAnswer: -15900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142343 - -2?\nAnswer: 142400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -155 + 123. Let m = 12 - 4. Calculate the remainder when m is divided by (-12)\/3*24\/i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16\/3, 5\/6, 103046?\nAnswer: 103046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/(6\/(((-180)\/4)\/(-5))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15795)\/(-225))\/(-39)*(-5)\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10944 and 480.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k**(-1))\/k*k*k*k)\/k)**21*(k**(3\/4)\/k)**29 assuming k is positive.\nAnswer: k**(139\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28432*d**2 - 4787 - 2073 + 2*d - 28434*d**2 to u*d**2 + b + a*d and give b.\nAnswer: -6860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - -1.4. What is the closest to -1 in u, -0.1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -0.5. Let h = -2\/253 - 3285\/506. Let r = h - -6. Which is smaller: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from {e: 5, o: 3, l: 4, w: 1, a: 1, q: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1306 + -755. Let f = o + -348. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27872)\/17316 + (0 - 2\/(-37))\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*r + 9*r + 230 + 4*r)*(-5*r + 2*r + r) as w*r**2 + m + z*r and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 65427879 a multiple of 869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -3*p**4 + 3*p**3 + 3*p**2\/2 + 6. Factor i(b).\nAnswer: -3*b*(b - 1)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o + 135. Determine u(-25).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8022 by 6.\nAnswer: -1337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*b + 6, 3*t + 12 = 4*b - 3*b. Suppose 4*r = b*r + 4. Suppose r*m = 5*m - 19. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-24) + 4\/(-6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 27636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2. Let y(r) = 5210191*r**2. Calculate y(a(z)).\nAnswer: 5210191*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-198)\/(126\/(-7)))\/((-17)\/((-119)\/(-28)))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*m + 7*m**3 - 92*m.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*s - 2*s - 729996. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8377\/(3 - (-2596)\/(-864)). Let b = -11869892 + g. Let r = b + 7279324. What is r rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*q**2 + 29*q**5 + 6*q**2 - 18*q**2 wrt q.\nAnswer: 1740*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -18, 36, -4, -1, 1 in increasing order.\nAnswer: -18, -4, -2, -1, 1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -25. Suppose 4*k + i*n + 0*n - 220 = 0, 0 = k + n - 56. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -44. What is the greatest common factor of 36 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09980496 to four dps.\nAnswer: -0.0998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -130\/25479 (b) 8\/5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13002 (base 4) to base 16\nAnswer: -1c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 2323904.\nAnswer: 2323904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16648, 66455, 149526, 265903, 415628, 598743, 815290, 1065311?\nAnswer: 1348848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*(-21 - -25) + -2 - (-71 + 10)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4384 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14858795, -14858789, -14858779, -14858765, -14858747?\nAnswer: -14858725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -1843*c - 137. Let p be t(-11). Let h = p - -46343. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 647*l**3 + 77388*l**4 + 77384*l**4 - 154777*l**4 + (0*l + 0*l - 2*l)*(l**3 - 2*l**3 + 0*l**3) as x*l**4 + v*l**2 + s + r*l + o*l**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16*(12\/16 + 1). Calculate the common denominator of -91\/4 and (-101)\/(-8) - 14\/v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 13 = -j. Let t = -5 + j. Calculate the remainder when 22 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 6*c**2 - 172*c - 1163. Calculate the remainder when g(-7) is divided by 34.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6480*u. Let z(l) = -474*l. Give 7*t(q) - 96*z(q).\nAnswer: 144*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 22.2. Let o = -16.4 - -13.048. Let y = t + o. What is y rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*u - 12*u + 432 = -28*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 15 + 65 = 26 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - 2 - n**2 + 2*n**4 - 4*n**2 - 2*n**3 + 2*n**3 + 8*n**2 to b*n**3 + q*n**4 + u + h*n**2 + t*n and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.025 + -0.01. Let q = j + 0.21. Let p = 0.4 - q. What is p rounded to two dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/464880 and 33\/23840.\nAnswer: 929760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + n + 1)*(-9*n**3 + 34*n**2 - 22*n**2 - n + 16*n**3).\nAnswer: 7*n**4 + 12*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27.95 - 0.05. Let o = -25 - x. What is the biggest value in -4\/9, 3\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3586379887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from -7571830410.\nAnswer: -7571830409.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (2 - 1)*23. Is a at least -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v*v**(-2\/11)*v)\/v*v**(10\/9)*v*(v*v*v\/(v*v**(-1\/7)))\/v*v*v**(-16) assuming v is positive.\nAnswer: v**(-6880\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 5*x + 4*x)*(-2*x**3 + 0*x**3 + x**3) + 28*x**4 + 31*x**4 + 18*x**4.\nAnswer: 75*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/((sqrt(24)\/sqrt(2) + sqrt(12))\/sqrt(6) + sqrt(2)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -9 - f + 20 - 12. Let l(y) = -2*y - 3. Let b = 0 - 2. Let z(g) = b*l(g) + 5*m(g). Determine z(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w + 15. Let y be d(5). Suppose 126 = -85*m + 103*m. Solve m = 2*o - l, 0*l - 3*l - 9 = y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g**2 + 5 - 5 + (-2*g + 4*g - g)*(2 - 2 + g) + 4*g**2 - 7*g**2 + g**2)*(4 - 4 - 2*g)*(-83*g**2 - 257*g**2 + 109*g**2).\nAnswer: -3696*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 divided by -29280?\nAnswer: -233\/9760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -24. Which is the nearest to z? (a) 0.3 (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*9*2\/4. Let n be (t\/(27\/(-6)))\/1. Find the first derivative of -98*u**n + 94*u**2 + 5 + 5 wrt u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2 - 3*h - 2. Determine d(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*i. Suppose 4*f + 2*q - 270 = 0, -5*f + 4*q + 221 + 136 = i. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b**2 - 19*b**2 - 5*b**2)*(-2 - 11 - 11)*(-2 + 3 + 1).\nAnswer: 720*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r**2. Let p(j) = -6*j. Give b(p(s)).\nAnswer: -216*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 5*a - 59, 10*u - 162050*a = -162045*a - 365 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 - 433*l**3 - 62640*l**2 - 3048192*l - 2985984.\nAnswer: -(l + 1)*(l + 144)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1949 - 975 - l - 974.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24\/169 + -15475\/676. Let b = 14 + 4. What is the common denominator of b and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 - -20302?\nAnswer: 21010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/22423 and -92\/255.\nAnswer: 336345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 + -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -216*j - 648. Let g be d(-3). Find s such that g - 8\/7*s**3 - 2\/7*s + 8\/7*s**2 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 133, 107, 59, -17, -127, -277, -473?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(2\/7)\/a)**10*(a*a**(-2))**(-1\/31) assuming a is positive.\nAnswer: a**(2797\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/7 (b) -2\/3 (c) -5 (d) -274 (e) -0.3 (f) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 3)*4 - (-4 + (sqrt(17) - 2*sqrt(17)) - sqrt(17) - sqrt(85)\/(2*sqrt(5)))**2.\nAnswer: -441\/4 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 528 - 531. Which is bigger: 31.9 or z?\nAnswer: 31.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2537 = 9*d - 1504. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/5)\/((m\/m**13)\/m))\/(m\/m**(1\/4))**(-14) assuming m is positive.\nAnswer: m**(227\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 + 251 - 136 = 10*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 44*k**2 - 46*k - 33. Let m be t(-45). Solve c + 5*q + 28 = 0, 3*q = -2*c - 9 - m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39, 40, 41, 42?\n\"Answer: h + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -220098 * 0.5.\nAnswer: -110049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17\/60 + -1\/12. Which is the second smallest value? (a) 2 (b) 1\/4 (c) 1 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*s - 115 = -52*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2917 - 3054. Which is bigger: 11 or o?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 - 6*b**2 + 25*b - 62. Let r be o(-6). Solve 0 = -3*d - x - r, 0 = -3*d + x + 5 - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*p + 490 = 0, 2*p = 5*p - 15. What is d rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*b**5\/5 - 3806*b**4\/5 - 1102256*b**3\/5 + 8228384*b**2\/5 + 1293963264*b\/5 + 1284636672\/5 = 0. Calculate b.\nAnswer: -44, -1, 576\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 171631 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 3:19 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000567227 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 8 - 2 = b, 4*b = 4*p - 8. Let g be (12\/(-24))\/(p\/64). Solve 4*j - g = 5*d - 0*d, 2*j - 8 = -d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8235 = -2*l - 3*p + 8263, -53*l + p + 282 = -299 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -316*h - 2852. Determine t(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/12140 and 1\/180.\nAnswer: 109260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -553043 + 276522 - 5540*b**3 + 276521.\nAnswer: -5540*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**4\/8 - i**3\/3 + i**2 - 227. Let q be 2\/(-3)*(3 + 0). Give d(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 13 - 33)*((-6*w + w + 2*w)*(-2 - 4 + 5) + 1 + 2*w - 1)*(0*w + 4*w - 2*w) - 3*w**2 + 0*w**2 + 0*w**2 to the form q*w + f*w**2 + m and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u + 123 - 366 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 7 = 5*d, 5*g = -3*d - 8 + 31. Let h be (-14)\/(-48) + 1\/g. Let w = 7\/8 - h. Is 1 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1905 in -12, -0.2, -2\/7, 6, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3*g**3 - 3*g + 3\/4*g**4 - 3\/4*g**2.\nAnswer: 3*g*(g - 1)*(g + 1)*(g + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = f - 5. What is the third smallest value in f, 0.5, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 11 = 5*r, -1198*m + 1192*m = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 19630*i**2 - 19447*i**2 - 17.\nAnswer: 183*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 d, and 1 w when three letters picked without replacement from {j: 3, w: 3, d: 5}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -5 + -1 + -3 + -2 + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*q + 17955, 5*r - 14*q + 15*q - 17935 = 0. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 - (-14 - (-14 - (-11 + 18 - 5))).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 2663350.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + k - 12 + 38 in the form d + j*k and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 12:47 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 6:21 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (132\/(-8))\/11*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7462, 14923, 22384, 29845, 37306?\nAnswer: 44767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(-24)*n)*n*n*n**31 assuming n is positive.\nAnswer: n**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36238108553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, z: 2, n: 3}. Give prob of sequence nnf.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 4*q. Suppose l - 29 + 27 = q. Solve l*w - 5 = 3*x, 2*w - 2*x + x + 5 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 29718*i**3 + 624082*i**2 - 653712*i - 88 = 0.\nAnswer: -22, -2\/14859, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*a + 6 = -0*g - 2*g, -38*a + 33*g = -43*a + 34*g + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3) + (20 - 14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 7*b**2. Let j be (-18)\/45 - 1\/(15\/159). Let i(g) = -g**2 - 14*g - 26. Let w be i(j). Determine u(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206281049?\nAnswer: 13, 15867773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 2*i - 16, -2*i + 28 = 4*j - 7*i. Calculate the lowest common multiple of 6 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**8*(((s*(s**(5\/3)\/s)\/s)\/s)\/s)\/s)\/(s*s**(5\/4)*s)**(-27\/7) assuming s is positive.\nAnswer: s**(1529\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 216390*q**4\/11 - 216402*q**3\/11 - 4327788*q**2\/11 + 240*q\/11 = 0?\nAnswer: -4, 0, 2\/36065, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 484923 to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144557 - -144553. Let y(j) = j. Let n be y(-3). Put 34, n, u in increasing order.\nAnswer: u, n, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5451\/11 - 495. What is the closest to -1\/4 in 0.2, g, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llljjjljljljul. What is prob of sequence uj?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124514016.\nAnswer: 2, 3, 11, 117911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(5808)*4 + -2 - (-4*(sqrt(5808) + -2) + sqrt(5808))).\nAnswer: -13 + 308*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07994 rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/6729 and -53\/6.\nAnswer: 13458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 1. Let r(u) = -220*u**2 + 176. What is -176*n(w) - r(w)?\nAnswer: 44*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 3, 0, -0.0956, 615\/7, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*s - 32*s - 122*s - 9152 = -49*s for s.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -683.783065262 from -1.69.\nAnswer: 682.093065262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyy when three letters picked without replacement from {y: 3, o: 15}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or 972596?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6965 divided by -45123.\nAnswer: 6965\/45123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/2005 - -34067\/18045. What is the common denominator of -31\/8 and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**4\/12 + v**3\/2 + 21*v**2\/2 + 9*v. Is j(5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-2)*(-3 + 3 - 2). Which is the closest to -2\/3? (a) d (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s - 19*s + 6*s)*(0 - 2 + 3).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 + 3*p**2 - 3*p + 2 + 2*p**3 + 0*p**2 - 3*p**2. Let f be i(2). Suppose -f*h + 27 = -145. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-124 - -4)*(-24)\/64*12 and 126.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 not equal to -0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 4 (b) 0 (c) 5\/4 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*((t*t\/(t**(-1\/2)\/t)*t)\/t)\/t)**26*t\/(t**(1\/7)\/t*t)*t**(4\/7))**25 assuming t is positive.\nAnswer: t**(16175\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-6)*108\/(-45). Suppose -j - j = -p. What is the highest common divisor of 12 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (33 - (-3 + 2)) - 2. Let n be ((-7)\/((-28)\/16228))\/((-3)\/l). Round n to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/4))**(-3\/20))**(-38)\/((x**(-2\/7))**44\/(x*x**(2\/15)*(x**7\/x)\/x)) assuming x is positive.\nAnswer: x**(2903\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*q - 7*q + 7*q**2 - 5*q**2 + 9*q**2 wrt q?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-153)\/5)\/(-17)*(-20)\/(-24)*-20.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w - 3. Let d be m(-3). Let x be 80\/d + (-1)\/(-3). Put -2, x, 3 in descending order.\nAnswer: 3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjjlolbldjl. Give prob of sequence jdbb.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 4. Let w be i(2). Let s(k) = -1. Let j(x) = x - 1. Calculate w*s(t) - 2*j(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14146, -56623, -127430, -226579, -354082, -509951, -694198, -906835?\nAnswer: -1147874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 126006.69 months in centuries?\nAnswer: 105.005575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Suppose 24 = 4*b - 0. Let u be p\/b*(0 - -2). Which is smaller: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -9.8.\nAnswer: 29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 3*p - 3*p)*(-2*p**2 + 9*p**2 - 44*p**2 + (6*p + 15 - 15)*(-4*p + 4*p + p) - 5*p**2 + 3*p**2 + 3*p**2).\nAnswer: 90*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*r - 1739*r = 14741 + 1275 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (2 - -5 - 2). Calculate the remainder when 34 is divided by (a - -7)*12\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by (-4)\/((-7)\/((-84)\/(-16)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**3\/5 - 867*b**2\/5 + 6717*b\/5 + 7587\/5 = 0 for b.\nAnswer: -1, 9, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.33775 + -18.33775. Put 13, 2, -5, w in decreasing order.\nAnswer: 13, 2, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000518232 rounded to six decimal places?\nAnswer: -0.000518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 31. Suppose -3*r = 17 + y. Let z(n) = -10*n - 36. Calculate the lowest common multiple of 1 and z(r).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 0*j**2 - 3*j + 2 - 2 + 3 + 2*j**2. Let i be u(2). Solve 5*m + 4*c - 19 = 0, 0 = -2*m - 3*c + 4 + i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 4, -181819, 9?\nAnswer: -181819","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 - v**2 + v + 2. Let h(q) = q**3 - q**2 + q - 1. Determine 2*h(s) - 2*u(s).\nAnswer: -2*s**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1997800?\nAnswer: 2, 5, 7, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067a (base 11) in base 6?\nAnswer: 155314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/15 and -107\/4105900?\nAnswer: 12317700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*d**3 - 7869104*d**2 + 33*d**3 + 7869104*d**2.\nAnswer: 61*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 30414909?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shh. Give prob of sequence hsh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Let d be 1\/(3\/8)*15\/2. Suppose 6*h = h - d, b*a - 2*h = 761. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/(-35))\/(2\/(-40)). Suppose 4*p - 14 = n, -2*n + 4 = -2*p + r. Suppose 0*t + 920 = p*t. Round t to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 - 63*s. Let u be p(-21). Solve 3 = -u*g + g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s + 83 - 83 = 0. What is the closest to -40 in -4, -3, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*o - 68*o = 191*o - 13892 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -438 + 456.1. Let s = r + -20.28. Let o = s - -0.18. Put -10, o, 1\/4 in descending order.\nAnswer: 1\/4, o, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-33))\/((-18)\/324*-6)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*1*6)\/sqrt(7).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 25312280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 - 28*f - 107. Determine c(-6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 40*i**2 - 481*i + 15. Determine n(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3790404371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 574\/(-805) + 4\/(-46)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -310 and -100937015796?\nAnswer: 100937015486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9 + -4. Let c = y + 1. Let m be 20*(-20)\/(-600)*(-1)\/3. What is the fourth smallest value in c, -7, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 204 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = u + 1 + 12, 0 = -4*u + 2*p - 2. Let b(g) = -2*g**3 - 15*g**2 + 7*g - 11. Let t be b(-8). Put t, u, -1 in ascending order.\nAnswer: t, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*1*(1768\/(-29393))\/((-84)\/(-49)).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1925 by -11.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 10*r**2 - 10*r + 11. Let y = 30 - 21. Let p be b(y). Factor 2\/9 - 2\/9*t**p + 2\/9*t - 2\/9*t**3.\nAnswer: -2*(t - 1)*(t + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.866045l to millilitres.\nAnswer: 6866.045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 25*a + 12 = 0. Let t(h) = a + 3*h - 5*h + 0*h. Determine t(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 1. Let j(k) = -6*k - 4. Let x = 832 + -833. Calculate x*j(a) - 4*s(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -55180\/201 less than -274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00100050367 rounded to 5 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006162 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7494 (b) 1\/4 (c) 71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddl when three letters picked without replacement from dlddddddddllddlddd?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -28*h**2 + 63*h + 134. Calculate t(-2).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -1d5a1?\nAnswer: 1d5a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 21*x - 7 + 19*x - 4 - 4 - 39*x. Determine s(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 76.6 and 385.\nAnswer: 29491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*y + 73440003 = 0, 0 = -5*y + y + 4. Round c to the nearest one hundred thousand.\nAnswer: 24500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 + 732*t**3 - 141730*t**2 + 2832900*t - 10712125.\nAnswer: -(t - 355)**2*(t - 17)*(t - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 0)*(-357*p - 253*p + 199*p)*(5 - 3 + 0)*(-1 + 3 + 0) + 3*p + 2*p - 4*p in the form k + h*p and give h.\nAnswer: -1643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 118*b. Let x(t) = 3*t - 2. Let s(z) = 3*z - 1. Let c(l) = 2*s(l) - x(l). Determine w(c(g)).\nAnswer: 9*g**2 - 354*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2953753 (base 12) to base 16\nAnswer: 7ef96f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23540 + 243?\nAnswer: 24223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 958593 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*i - 9 = 17, -5*i + 23 = n. Suppose -3*v = -2*v + n. What is the units digit of 8\/1 - (v\/(-1))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.765592 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 561519898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 324, 707, 1232, 1893, 2684, 3599?\nAnswer: 4632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*d, j - 608 = 3*d + 335. Let g = j + -414. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 3\/(3\/84*44\/33)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -64*r + 790. Let i be c(-17). Let y = i + -1880. Let t = 0.1 + -0.1. What is the nearest to 2\/7 in -4, y, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 494, 4, -5, 2, 5, -9.\nAnswer: -9, -5, -2, 2, 4, 5, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 675*b - 7414. What is m(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 - 2*l - 8. Is t(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 356817253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**2 - 2*c - 10. Let n be d(-8). Let i = -181 - n. Calculate the greatest common factor of 35 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 395138043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.9 + 10.95. Let d = 57 + -60.05. Let l = d + q. Which is the closest to 1? (a) 4\/3 (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**2\/5 - 1065600*f + 5328004\/5 = 0. What is f?\nAnswer: -1332001, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1471 from -1.01754771.\nAnswer: -1472.01754771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**2 - 4*v + 4. Let n(k) = 35*k**2 + 49*k - 49. Let c(t) = -4*n(t) - 49*w(t). Let b(j) = -2*j. Calculate b(c(d)).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -1. Let q(l) = l + 7. What is 5*b(a) + q(a)?\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 - (-865)\/(-742). Let i = 5\/53 + b. Let u = -9 + 9.5. Sort u, 4, i in decreasing order.\nAnswer: 4, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17236)\/(-10168) + (-1)\/(-1*2). Is 3 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 51*l**2 + 11*l**2 - 57*l**2 + 5*l**2.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 4:05 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4\/5 - 194*g**3\/5 - 26042*g**2\/5 - 219046*g\/5 - 38640 = 0. What is g?\nAnswer: -69, -8, -1, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -36, -2\/23, -4, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 13 - -7 - 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623 a factor of 529975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 18923922.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-608)\/1824*4*(-3)\/(-20)*-295.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*v**2 - 188*v + 75*v + 88*v + 25*v + 19*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcdllljcsd. What is prob of picking 2 c?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33 - 0 - (-3 + 2)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.5627 centuries in months?\nAnswer: 97875.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4 + 80*y**3 - 74*y**2 - 156*y = 0.\nAnswer: -1, 0, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*n = 20 + 76, s + n - 31 = 0. Suppose j = -3*i + 5, -4*j + i = j - 73. Calculate the remainder when s is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-106)\/6)\/(1\/12). Let g = -78 - o. Suppose 4*v - 216 = -5*b, v - 3*v + g = -4*b. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 5*v**2 + 4*v + 4. Does 6 divide w(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 - -90. Let d be 160\/25 + -6 - (-4)\/x. Solve 5*f + d*f - 15 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*12\/(-14)*(-77)\/22?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36692, 73530, 110344, 147122, 183852?\nAnswer: 220522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/9 + 3443756*g\/9 + 6887504\/9 = 0 for g.\nAnswer: -1721876, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 30*t - 1\/12*t**4 + 0 + 0*t**2 + 0*t**3. Let c(g) = -2*g - 25. What is c(p(u))?\nAnswer: 2*u**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6974 is divided by 196.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 20 + 2 - (1104 + -1110).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*m - 5*u + 1, 4*m + 5*u + 33 - 64 + 29 = 3*u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12935352 and 1824.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 8 + 2. Find the third derivative of 0*t**2 + 3*t**2 - t**p + 3*t**3 - t**2 wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2. Suppose 5 + 1 = h. Let z be 0\/1*h\/6. Let x(c) = z*c + 0*c - 2*c**2. What is i(x(a))?\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 281*v**3 + 5*v**2 + 292*v - 7657537?\nAnswer: 843*v**2 + 10*v + 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y + 92. Calculate w(-28).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**2 - 2. Let m(d) = d**2. Let n(h) = -5*m(h) - w(h). Let q = -8 + 11. What is n(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wressrrr. What is prob of picking 1 s, 1 r, 1 e, and 1 w?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2091 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -10. Let n = -6 - -5. Put b, 3, n in decreasing order.\nAnswer: b, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**30)**(-7) assuming o is positive.\nAnswer: o**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3807 divided by -423.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*l, l - 74 = -d + 81. Let o = d + -105. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74760*i**3*s**4 - 12*i**3*s - 3*i**3 + i + s**4 + 421*s - 1 wrt s.\nAnswer: 897120*i**3*s**2 + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -641*s = -74*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-29))\/((-72)\/(-18)*(-20)\/(-80)).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 65*w**2 + 2*w. Let k be l(-1). Let r be ((k\/9)\/(-7))\/(1\/(-2)). Is 11\/5 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 2*x. Let v be n(2). Let m = 7 + v. Is 3 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*w + 76, 3*w - 3*p - p = 71. Solve 5*b - 8 = w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -525 + 1a3?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + r. Suppose -3*t + 4*w + 23 = r, -5*t + 41 = -0*t - 4*w. Suppose v = 5*v - 16. Solve d - 9 - t = -3*n, v*n - 8 = 4*d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -799 + 463. Let d = -336.2 - m. Which is the smallest value? (a) -1 (b) d (c) -3.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 y when four letters picked without replacement from {t: 2, y: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 130?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 23. What is the remainder when 53 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssshshhhhhhhhhhhshhh. Give prob of sequence hs.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 3*y - 17*g + g, 0 = -2*y + 5*g + 2. Solve -l = -5*b - 17, y + 0 = -l - 2*b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-6)\/4744) + (-2)\/3. What is the greatest common divisor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 31513, 31521, 31529, 31531, 31521, 31493, 31441?\n\"Answer: -x**3 + 6*x**2 - 3*x + 31511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**3 + 7*y**2 + 2*y + 9. Calculate the remainder when x(-6) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050 (base 6) in base 11?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -462901 at least 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 53581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*l, -2*l + 3*s - 1 = -0*s. Let p be (80 + (-2 - l))*2. Let t = p - -33. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13727940 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-323)\/(-38) + -6 + 4\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (54\/81)\/(((2\/(-184))\/((-15)\/80))\/(-2))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i. What is the remainder when 44 is divided by w(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 142?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42414011?\nAnswer: 42414011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -137, -282, -483, -746, -1077, -1482, -1967?\nAnswer: -2538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1752899 to the nearest 1000.\nAnswer: -1753000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**8\/168 + 53*n**7\/105 - 51*n**6\/20 + 151*n**5\/30 - 25*n**4\/6 + 451*n**2. Factor l(j).\nAnswer: -2*j*(j - 50)*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101 + 10111111110?\nAnswer: 10110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -193*y - 17. Let r(x) = -103*x - 9. Let m(w) = -8*o(w) + 15*r(w). Let a(p) = p**2 - 6*p + 6. Let s be a(6). What is m(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 15 = 0, -2*t = -0*t + 4*j - 102. Suppose -4*q + 5*r = -0*r - t, 4*q - 22 = -2*r. What is the remainder when 13 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**5\/60 + k**2. Let o(u) = -22*u - 19*u + 34*u. Determine o(q(l)).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l - 12. Let q be i(-2). Solve 5*s - 7 - 18 = q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r + 5*r - 1 - 75*r**2 - 6*r**2. Let k(n) = 163*n**2 - n + 2. Let g(s) = 3*k(s) + 5*m(s). Is g(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/sqrt(54))\/(sqrt(12) - (sqrt(12) - (sqrt(108)*2)\/sqrt(9))) - (2*sqrt(720) + 1)*6)**2.\nAnswer: 1726*sqrt(5) + 3725141\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02322 rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1319, -2706, -4085, -5450, -6795, -8114?\n\"Answer: u**3 - 2*u**2 - 1388*u + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -239, -1024, -2695, -5582, -10015?\nAnswer: -16324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*i**2 - 2*i**3 - 140*i**2 - 130*i**2 + 395*i**2.\nAnswer: -2*i**3 - 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 2*a + 20, a - 11 = -2*h - 3. Suppose -3 = -x - 1. Solve 2*u + 2*t = -4, 3*u + h*t = -x - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 87, 4, 47, -4 in descending order.\nAnswer: 87, 47, 4, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 67860042.51 to the nearest one million.\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l + 1. Let u be y(1). Suppose 0*t - 178 = -3*m + 2*t, 303 = 5*m + u*t. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (sqrt(98)*-1 + 1)) + sqrt(98) + -2 - (sqrt(4)\/sqrt(2)*1 - (-1 + sqrt(2) + -2)).\nAnswer: -6 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*4\/6)\/((-10)\/(-25)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -19. Suppose 2*k + 51 = -3*s, 0 = 3*k + 2*k - g*s + 175. Let x(d) = -9*d**3. Let l(w) = -w**3. Give k*l(j) + 4*x(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2516 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 302171\/169 - 1788. Let h = m + 2879\/1014. What is the common denominator of -13\/63 and h?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011 - -11?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8 = 5*a - 3, 2*a - 6 = 0. Let x be 0\/(2 - n - 6). Solve 5*g - 11 = l, -3*g + 11 = -5*l - x*g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 1745*d**2 - 419618*d + 2969. Give y(1457).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4*w + 18. Suppose 3*d + 14 = -2*s, 0 = d + 2*s + s + 14. Let y be d\/(4 + (-44)\/10). Solve y*k = -1 - w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.14?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -144 + 164. Let f = 182 + c. List the prime factors of f.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 164*c**5 - 8540*c**4 - 78096*c**3 + 5760*c**2 = 0. What is c?\nAnswer: -8, 0, 3\/41, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30510 rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1774096 and 22.\nAnswer: 19515056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -306192\/43 + 7120. Find the common denominator of (391\/10)\/17 + 3 and c.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g - 15. Let s be o(10). Let j(p) = p - 4. Let f be j(s). Does 7 divide 14*f + 6\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*36\/864)\/(3\/4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 + 1. Let s = 44 + -115. Let g = s + 287\/4. What is the biggest value in n, g, 2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 0. Solve -10 = -2*i - v*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31517, 31514, 31511, 31508, 31505, 31502?\n\"Answer: -3*i + 31520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 13122030312?\nAnswer: 13122030313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07282 minus 10?\nAnswer: -10.07282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, -10, 2 in increasing order.\nAnswer: -10, 2, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 5*c + 11, 5*c + 90 - 61 = -3*h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(98\/(-35)))\/(2\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003177121 to five dps.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24727504.6 rounded to the nearest ten thousand?\nAnswer: -24730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18.331629+3\nAnswer: -15.331629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 7*b**2 - 2*b**2 + (0 - 2 - b + 0)*(0*b - 3*b - b) in the form d + l*b + o*b**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135182, 270384, 405600, 540830?\nAnswer: 676074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 708120*d - 2124394. What is x(3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-47 - 8)*-1*1. Let n = g - 23. Calculate the remainder when 63 is divided by n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 11*x**2 - 757*x + 1. What is o(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3643.1 + -2771069120.\nAnswer: -2771065476.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3891945 bigger than 3891945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -280588 (base 10) to base 16.\nAnswer: -4480c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 119220402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*p + 169*p + 2*p**3 + 4*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 11:59 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/100204 and -51\/501020.\nAnswer: 501020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1075188481?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-7*(-3)\/147.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k**5\/4 - 33*k**4\/2 + 39*k**3 - 63*k**2\/2 + 27*k\/4 = 0 for k.\nAnswer: 0, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = 7*l + 26. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7053 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**2 - 8*x + 9. Let h be a(4). Suppose 5*y - 104 + 4 = h. Calculate the remainder when 59 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypys when four letters picked without replacement from psysyyspyyspyysys.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -2*g + 13, -12 = -3*a - a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -179 (b) -23 (c) 42\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (8 + (-5)\/5). Let w(f) = 5*f**2 + 3*f - 4. Let o(r) = 6*r**2 + 4*r - 5. What is t*w(u) + 6*o(u)?\nAnswer: u**2 + 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -20200 (base 3) to base 5\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 250992018*h**2 - 324102612?\nAnswer: 501984036*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:14 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -18176*1\nAnswer: -18176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/302841 and 5\/8778.\nAnswer: 605682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = o + 10*n - 6, 5*o - n = 26. Suppose -3*u - 2*u + 15 = 5*j, -2*u + 4*j + 6 = 0. Which is the closest to -3? (a) o (b) u (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-10) - (-66)\/6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*m = 95, 5*f + 56 - 266 = -2*m. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -183, -10, 0, -820 in ascending order.\nAnswer: -820, -183, -10, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 543150 and 550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*j - 6 = 3, 2*p - 18 = -j. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 5*c + 11, 3*d = 110*c - 163*c + 48*c - 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3608 and 138248?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2, -7\/13, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -m, 2*m - 14 = -5*v + 23. Let x = -5 + v. Suppose -x*j + 4*a + 60 = 0, 60 = 3*j + 4*a - 0*a. Calculate the least common multiple of 10 and j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4469\/7 + 645. Let d = -216\/35 + x. Let v = -39 - -35. Which is the nearest to d? (a) 3 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -19*p**7\/70 + 20*p**3\/3 + 143*p**2. What is the derivative of a(r) wrt r?\nAnswer: -228*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6439, 27383, 62275, 111121, 173927, 250699?\n\"Answer: b**3 + 6968*b**2 + 33*b - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*b**2 + 65*b + 72*b**2 - 65*b - 34*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 23*s - 137. Let p be v(6). Solve m = -c + 5*c + p, m - 1 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 84366733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 - -58.961. Let s = 0.03894 + f. Round s to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r - 16. Let h be j(3). Solve -2*d + h = 4*o - 19, 3*o = 2*d + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 3:49 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 2*v**2 + 8*v + 16. Let r be z(-3). Is r - 3234\/((-6)\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/3)\/((-21)\/(-126)). Let a be -4 - (-39)\/(q + 1). Let h(n) = n**2 + 31*n - 81. Let l be h(3). What is the greatest common divisor of a and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/54 and -59\/582.\nAnswer: 5238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.70008*-151.\nAnswer: -4333.71208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a*a*a\/(a\/(a*a**(3\/2)))*a)\/a)\/a*a)\/a)**(-1\/35)\/(a**(-14\/3)\/((a\/a**(-3))\/a*a)) assuming a is positive.\nAnswer: a**(1793\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18383, -18377, -18371, -18365, -18359, -18353?\nAnswer: -18347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 264*g + 32298. What is r(-121)?\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 6) to base 15.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(38\/(-6) + 6). Which is the third smallest value? (a) -5 (b) -20 (c) i (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 6, 2\/9, -375\/88, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*n + 234*n - 23590 = 0. What are the prime factors of n?\nAnswer: 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4583, 4, 0, 30 in ascending order.\nAnswer: 0, 4, 30, 4583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 4*p + 14, -2088*p - 18 = v - 2084*p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 12, 1, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(13 - -1) + (-55)\/(-50)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313313374 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 10 = 2*c. Suppose 7*r = 14 + c. Let b(q) = -q**r + 0*q**2 - 4*q**2 - q**2 - 4 - 85*q + 84*q. Give b(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1219*u**2 + u - u - 1222*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - h**2 + 0*h**2)*(2*h**2 - 15*h**2 - 2*h**2).\nAnswer: 30*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63304 and 94956.\nAnswer: 189912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3713162 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 458 + 265*x + 171*x - 152*x + 93*x wrt x?\nAnswer: 377","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 divided by -13\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - o**2 - 5. Let r(u) = -2*u**3 + 2*u**2 + 5. Let q(f) = -2*r(f) - 3*x(f). Let b be q(0). Differentiate b + z - 2*z - 2*z with respect to z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/((-6)\/2))\/(1\/(-34))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0068122394 rounded to 6 dps?\nAnswer: -0.006812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 2070650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35, 31, 27, 23, 19, 15?\n\"Answer: -4*l + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3554*r**2 + 376717*r - 738. Calculate q(-106).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*r = 194*r - 6492. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 1\/30*z**5 + 0*z**3 + 0*z**4 + 0*z - 1\/105*z**7 - 1\/60*z**6 + 1\/168*z**8 + 0 - 6*z**2. Factor g(n).\nAnswer: 2*n**2*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d, -2*d = 5*v - 29 + 9. Calculate the highest common factor of v and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - (sqrt(91) - (sqrt(91) - 4*(sqrt(91) - sqrt(91)*2 - sqrt(91)) - sqrt(91)) - sqrt(91))) + sqrt(91))\/(4*sqrt(175)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -280 - -680?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 139, 309, 547?\nAnswer: 853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2368577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 312 and 5008796.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -819, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 431, -1, -1254 in increasing order.\nAnswer: -1254, -1, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45226 - -645.3.\nAnswer: -44580.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - c + 2. Let u be b(0). Let d be (-3)\/(-12) + 796\/16. Suppose -6*w - d = -11*w. Calculate the greatest common divisor of w and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -912 + w**4 - 6*w + w**3 - 3*w**2 + 453 + 461 to the form p*w**2 + i + f*w**3 + v*w + l*w**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 11:41 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1156*n**2 + 182876*n - 182876*n to the form l*n + m + y*n**2 and give y.\nAnswer: -1156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -6582832?\nAnswer: -6582836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 11:24 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**3\/6 + 6*n**2 - 2*n. Is 4 a factor of s(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*-3)\/(((-8)\/(-4))\/(-1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from bbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1844 + -1844.0839. What is p rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 9:30 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -7*m**6\/15 - 37*m**5\/10 - 59*m**4\/6 - 35*m**3\/3 - 6*m**2 + 11*m - 8. Suppose p(i) = 0. Calculate i.\nAnswer: -3, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**25*f))**(-3\/28) assuming f is positive.\nAnswer: f**(75\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 10*a - 64. Suppose -a*y + 17*y - 1188 = 0. Suppose y = -m + 12*m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -341 and 58.5?\nAnswer: -19948.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -2*k + 7*k + 3*i, -4*k + 33 = 3*i. What is the common denominator of -67\/126 and 0 + (-1176)\/160 + k?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-95)\/30 - 6\/(-2). Let w(u) = u**2 - 21*u - 16. Let c be w(23). Let h = -31 + c. Which is smaller: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 34. Let f be (z - -4)*(3 - 2). What is the greatest common divisor of 55 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -304 - -308. Let c be (-2 + 1 + 0)*-3. Solve 5*n - c*n + g = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izsmpmzziizv. Give prob of picking 1 m and 2 i.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**3 - 3*k**3 - 17*k**3 + (-6 + 2 + 2)*(-4*k**2 - 4*k**3 + 4*k**2) in the form q*k**3 + u*k + a + x*k**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-10)*(9\/6 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-18*1\/(-7))\/((-15114)\/(-6412))\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4707721*l**3 + 16988923*l**2?\nAnswer: 28246326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1\/6, 460\/3, -7\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) -2\/11 (c) -23\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -v - 20, v = -5*x - 24 - 14. Let l = 366\/13 + v. Do 0 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - (-72)\/1)*(-4)\/(-8). Let t = 40 - r. Calculate the lowest common multiple of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*l + 368*l - 197*l - 1679*l.\nAnswer: -1836*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c = -4*w - 1038, 0 = -3*c - 5*w + 1011. Is 340 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(-14*g**3 - 8*g**4 + 14*g**3) + 8*g**4 + 4*g**4 + 7*g**2 - 9*g**4.\nAnswer: 11*g**4 + 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 + 15834760*x - 12536981212880.\nAnswer: -5*(x - 1583476)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -67, 344 in ascending order.\nAnswer: -67, -34, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -285383, -285376, -285361, -285338, -285307, -285268?\nAnswer: -285221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (62\/11 - 7) + 2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*x**2 + 35*x**3 + 35*x**3 - 74*x**3 to w*x + k + m*x**2 + p*x**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 24 = 3*w + b, 2*w + 5 = 3*b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148668.\nAnswer: 2, 3, 13, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.15, 0.5, 4, 4\/3 in decreasing order.\nAnswer: 4, 4\/3, 0.5, 0.4, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732603 is divided by 1566.\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3. Let x = 7 - 5. Let v = x + -1.6. Which is the second biggest value? (a) l (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d - 95. Calculate u(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 12*i = -3*z + 2, 3*i = -3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**2 - 20*a + 1980 = 0. Calculate a.\nAnswer: -22, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 36*a**5 - 64*a**4 + 20*a**3 + 8*a**2 = 0?\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -5. What is the third derivative of -11*u**2 + 8*u**2 - 7*u**2 + u**4 - 16*u**d wrt u?\nAnswer: -360*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v**3 - 3*v**2 + 3*v + 3. Let a = 76 + -90. Let s(r) = -11*r**3 - 7*r**2 + 7*r + 7. Give a*j(n) + 6*s(n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 11*o**4\/2 + o**3\/3 + o**2\/2 - o - 134. Let k = -9 + 10. Give x(k).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 11755.\nAnswer: -36\/11755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -9, -1, 5, -71695?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11756 divided by -4?\nAnswer: -2939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/4, 1, -145, 0, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**9\/1512 - i**6\/90 - i**3\/2 - i**2. Let n(m) be the first derivative of h(m). What is the third derivative of n(p) wrt p?\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/(11\/(-154))*276\/(-322).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 88\/(-72) - 1*(-6)\/27. Let s be (33\/(-24))\/(1\/(-4)) + y. Solve 3*a + s + 1\/2*a**2 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) + 3*sqrt(300) + sqrt(300))\/sqrt(10))\/(sqrt(10) - (sqrt(50) + sqrt(800))\/sqrt(5))*2 + -4)**2.\nAnswer: 20*sqrt(3) + 139\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*l + 4*l - 412 = 0, 3*o - 256 = -5*l. Let d(z) = 81*z - 53. What is the remainder when o is divided by d(1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12025 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + -1*sqrt(143))*-3*1)\/(sqrt(1584) - (sqrt(1584) - (sqrt(1584) - sqrt(1584)*3)*6)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**4 - 7*k**4 - 5*k**4 + (0*k + 2*k + 0*k)*(-2*k**3 - k**3 + 2*k**3).\nAnswer: -11*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**2 - 3. Let t(s) = -36*s**2 + 14. Calculate -14*m(j) - 3*t(j).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 9. Let k = 1429 + -1411. Let g be ((-1)\/p)\/(2\/k). Which is the nearest to 0.1? (a) 1\/2 (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from ytttyy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -118*p**5\/5 - 7*p - 63. Differentiate w(j) with respect to j.\nAnswer: -472*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/7 + -3\/7. Let y = -11 - -7. Suppose 0*n + 2*n = 0. Put v, y, n in increasing order.\nAnswer: y, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - h + 2*h = -5, 2 = -x - 4*h. Let d be x - (-53)\/(-18) - -1. Let v = 4\/9 + d. Which is the closest to -2\/21? (a) -0.2 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) -1 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 125 = g + 3*b, 0 = -3*b + 3. Let u = 193 - g. Solve -3*c + 4*t + u = c, -5*c = 4*t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -613c (base 14) to base 6.\nAnswer: -205214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9774437*i + 4*i**2 + 41*i**3 - 9774437*i.\nAnswer: 41*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o*t**2 - 1877*o*t - 27*o + 891789*t**2 - 7*t wrt o?\nAnswer: t**2 - 1877*t - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*sqrt(130)*-2 + -1*sqrt(130)*-6)\/((sqrt(240)\/sqrt(4))\/sqrt(6) + sqrt(80)\/sqrt(2)).\nAnswer: 1 + 14*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/7 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 8:02 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -5. Suppose 5*n + 3 = -u. Sort n, 3, -3.\nAnswer: -3, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfiiinfinns. Give prob of picking 1 n and 2 s.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 0 - 3*r**4 + 2*r**3 - r**2 - 4*r - 6*r + 8*r to o*r + i*r**4 + g*r**3 + q + u*r**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (0 + 12)) + 8 - -17 - 23.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -12. Let n be (-10)\/5*b\/(-1). Put n, -1, 2 in increasing order.\nAnswer: n, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35*138\/4025*(-25)\/16.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - m**2 - 2*m + 1. Let g(q) = 6*q**3 + 2*q**2 + 4*q - 2. Give -g(u) - 2*z(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/3))**(-3\/7))**(3\/4) assuming c is positive.\nAnswer: c**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -176 - -1131. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 115 + (-27 - 32)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001180967372 to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 213.57567 months?\nAnswer: 1.77979725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 2*d + 59298 = 0. Let z = -23233 + d. What is z rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 9*g**2 - 10*g - 2. Calculate the remainder when 180 is divided by u(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/(-15))\/((-1)\/((-50)\/(-90))). Let z = -3 + 3.1. What is the closest to -1 in 5, z, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 16656*t**2.\nAnswer: 3*t**2*(t - 5552)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.9 - -13.1. Let s = 16 - c. Let j = -1162\/9 - -129. What is the third biggest value in -2\/9, s, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from {j: 4, u: 4, a: 6}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*((-3)\/6 - 1). Is -10 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.45 + 0.45. Let d = 2.8 + -3. What is the closest to 0.1 in a, 5, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1753123740?\nAnswer: 2, 3, 5, 29218729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1647 less than -218226?\nAnswer: -216579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3022 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11422, -11411, -11386, -11341, -11270, -11167?\n\"Answer: s**3 + s**2 + s - 11425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -5*m + 30, 3*m = -5*q - 5 + 31 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 7. Let a(j) = -j + j + 14 - c - j. Let b be a(6). Solve 0 = -b*y + 5*o - 25, -o - 1 + 5 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110.74 - 1174?\nAnswer: -63.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -7. Is 4 a factor of p*(1 + 5\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -139084 (base 10) to base 4.\nAnswer: -201331030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w + 2. Let h(p) be the first derivative of p - 3. Let m(f) = -f - 2. Let s(r) = -3*h(r) - 2*m(r). Let b(z) = -4*d(z) + 7*s(z). Calculate b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*q + 191*q + 97*q + 10237 = 147*q for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.81611 rounded to 2 decimal places?\nAnswer: 187.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/64098126 and 40\/81.\nAnswer: 576883134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + n**2 - n. Let a(f) = 4*f**3 + 8*f**2 - 5*f. Let u be (-14*(-40)\/420)\/((-4)\/(-3)). Determine u*a(k) - 3*m(k).\nAnswer: k**3 + 5*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8139 - -5014. Is f a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23.1 + -23. Let s be 8\/(7 - (-1 + 12)). Which is the nearest to f? (a) 1\/19 (b) 0.2 (c) s (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = x + 3, 4*x + 12 = 2*a + a. Let m be 10\/(-5) - (a - 1)*8. Let g be (-3 - (-21)\/m)*0. Solve -3 = y - g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -48 + 3?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 856897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**5 - 12*p**4 - 88*p**3 - 152*p**2 - 108*p - 28.\nAnswer: 4*(p - 7)*(p + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + j + j)*(-2 + j + 2) - 176*j**2 - 242*j**2 + j - 4 + 306*j**2.\nAnswer: -113*j**2 + j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 31, 38, 47, 58, 71, 86?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 15274\/3169?\nAnswer: 15274\/3169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 1086127746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -40004 - 0?\nAnswer: -40004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**5\/2 + 96*v**4 - 1377*v**3\/2 + 894*v**2 + 1680*v = 0 for v.\nAnswer: -1, 0, 4, 5, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + g**2 - 5*g - 46. Give m(0).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**4 + 3*r**3 + 33*r**2\/2 - 103*r + 157. Is j(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.69739 and 2650191.9.\nAnswer: 2650192.59739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**3 + i**2 - 65*i + 392. Give k(6).\nAnswer: -1042","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 894*b + 5504 = 1643*b - 31197 for b.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 0*a**2 + 2 - 1\/2*a**4 + 18*a - 9\/40*a**5 - 1\/4*a**3. Determine k, given that q(k) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + 0.4. Let x be (-5)\/20*4\/(-3). Which is the closest to x? (a) 0.3 (b) v (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2799 - 3 - 1835 - 1255)*(-4*y + 2*y + y) in the form x + p*y and give p.\nAnswer: 5892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 61900*v. Let d(z) = -1404*z. Determine d(h(w)).\nAnswer: -86907600*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -295 - -240. Let t = -53 - i. Solve 4*p - 5*p + t = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 + 85. Let x be (4 - (3 - -2))*h\/(-1). Solve 0 = x*y - 2 + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3377242856 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 7*b - 6*b + 11, -v = -2*b - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert a5277 (base 11) to base 7.\nAnswer: 1206130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*z = 155*z - 372. What is the remainder when 306 is divided by z?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 o when three letters picked without replacement from noobyyyoyoy.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -19 (b) 4 (c) 1106 (d) 5 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 - 1 + 2*r**3 - 1)*(-3*r + 3*r - 9*r).\nAnswer: -9*r**4 + 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*r - 2, -r - 1 = k + 4*k. Let y = k - 0. List the prime factors of (0 + y)\/3 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(5\/9)\/v**8)**(-26\/5))**(2\/113) assuming v is positive.\nAnswer: v**(3484\/5085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 65*p**2 + 30. Let o(u) = -17*u**2 - 7. Let d(z) = -6*h(z) - 26*o(z). Differentiate d(t) with respect to t.\nAnswer: 104*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 62 + 19 + 17 + 8 + 29.\nAnswer: r + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b - 3*b + 5*b**3 + 3*b.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (740\/(-6))\/5*(-1476)\/16072*49.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 54935044*c - 754464764820484.\nAnswer: -(c + 27467522)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 37, -4, -2\/7 in decreasing order.\nAnswer: 37, -2\/7, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q + 785. Is m(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139498 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7518735 is divided by 315?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -29?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*m - 53*m - 36*m = -77*m + 26*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 + 0.4. Let v = 0 - -0.2. Let i = v + u. Which is the third smallest value? (a) 0.5 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.2, 0.65, -1\/13, -2?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-3))\/(-4 - -2). Let x be (78 - -6)\/(s\/14). What is the tens digit of ((-2)\/(-4))\/((-1179)\/x - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-7))**(-49)*((a**(-13)\/a)\/a)\/(a*a*(a*a*a*a**(-11\/5)*a)\/a) assuming a is positive.\nAnswer: a**(-2049\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 124.6542 to one decimal place.\nAnswer: 124.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13286894 by -6643447.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -40*y + 125. Let w be o(3). Solve 4*u - w = 9*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 + 17 - 26)*(2*m**4 + 2*m**4 - 6*m**4 + (2 + m**3 - 2)*(m + 0*m + 0*m)).\nAnswer: 59*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 3*m**2 + m - 4. Let z be c(4). Let s = -14 + z. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(3) + sqrt(3) + (-1*sqrt(15))\/sqrt(5))**2 + (2 + sqrt(15)\/sqrt(5) + 4)**2.\nAnswer: 12*sqrt(3) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7*r + 1. Let s be v(1). Let h(i) = i**2 - 5*i - 7. Let m be h(s). Let t = -35 + m. Calculate the remainder when t is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -5*f - 34. Let i be -2 - 5\/(5\/f). Suppose -d - 1 + 19 = -3*c, -i = -d + 2*c. Calculate the highest common divisor of d and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4*p + 12, 0 = -0*x - 4*x + 5*p - 15. Suppose l - 3*l - 114 = x. Is (2\/6)\/((-1)\/l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4035 (base 6) to base 14\nAnswer: -475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -7427 in increasing order.\nAnswer: -7427, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*j + 7 = -2*j, 0 = 3*r + 2*j - 13. Let q(d) = 3*d + 2. What is the remainder when 17 - (0 + 2)*-1 is divided by q(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m + 8*m - 3 + 8*m + m - 8*m. Determine f(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**4 + 17334*t**3 + 5166537*t**2 - 10385064*t + 5201196 = 0. What is t?\nAnswer: -286, 1, 6062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3, -70, -5, 5 in descending order.\nAnswer: 5, 0.4, -3, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -210*w + 65*w + 725. Put -2, -1, 141, w in descending order.\nAnswer: 141, w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -4f7180c?\nAnswer: 4f7180b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -8\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -15, -77, -195, -387?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 480 and 72919680.\nAnswer: 72919680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**5 + 29680*m**4 + 2085872*m**3 - 9145480*m**2 - 24429876*m - 13228200 = 0.\nAnswer: -7349, -75, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*11\/(-5775))\/((-5)\/(-35)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33 - 574?\nAnswer: -5a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 313 * -19.\nAnswer: -5947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 247\/(-570) + (-6)\/(-45).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 27080 = 2*m + w, w = 0. Suppose 32*p - 12*p - m = 0. List the prime factors of p.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/12 - (-57)\/16 and ((-3)\/(-45))\/((-8)\/(-430)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525 - 487 = -46*u. What is the remainder when 2308 is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 + 3 + k**2.\nAnswer: k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184 and 1346.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 99db964?\nAnswer: -99db966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 11. Let m be k(7). Let j = -152 - -207. Let n be 10*2\/8*(-66)\/j. Sort n, 3, m in ascending order.\nAnswer: m, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17061.\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 343 and 78743.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 559081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 43*y + 607. Give a(-17).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2091 + -639. Round b to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**4 - 55*n**3 - 42*n**2 + 648*n = 0.\nAnswer: -54, -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -822 + 822 = -27*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 11 - 2 - 3*v**2 in the form f*v**2 + o + l*v and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (8 - (55 - 1)) + -4. What is the smallest value in 0, n, 0.2, -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3214, -6204, -9194?\nAnswer: -12184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38549*d**3 - 56252?\nAnswer: -115647*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -5 and -40\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20515, 82071, 184665, 328297, 512967?\nAnswer: 738675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4724*c - 2*c**2 - 1468*c + 1719*c + 5)*(2*c**2 - 2*c**2 + c**3).\nAnswer: -2*c**5 + 4975*c**4 + 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*g + 200*g = 957120. Does 94 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 2:57 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2148049 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 45243, 90569, 135909, 181269, 226655, 272073?\n\"Answer: q**3 + q**2 + 45316*q - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2077.99998858 - 2078. Round u to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12621 - 12621.1. What is the nearest to j in 0.16, 3, 0.4, -12?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 346, 678, 1010, 1342?\nAnswer: 1674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from hhhhhhhhhohhhhhohhhh?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/31654 + 18091\/31654. Suppose h - 12\/7*n**3 + 38\/7*n**2 - 30\/7*n = 0. What is n?\nAnswer: 1\/6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 5:49 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 12:29 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/28 and 97\/23672726.\nAnswer: 47345452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*a + 965 = -5337 for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1071983172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, n: 4, y: 2, o: 1}. What is prob of picking 1 c and 1 n?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 10*v**2 + 9*v - 21. Suppose 0 = -w + 4*w + 33. Let q be x(w). Suppose i - q - 4 = 0. Solve 5*r - 2*r = -i*b + 37, 0 = -3*r + b + 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/2 and (-3422)\/(-1836) + (3300\/(-561) - -6)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**2 - 2*c**3 - 6*c**2)*(-2*c**2 + 0*c + 0*c).\nAnswer: 4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q - q**2)*(2 + 0 - 3) + (2 - 2 + q)*(-6*q + 5 - 5)*(0 - 4 - 3).\nAnswer: 43*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 17*f**2 + 25*f - 147. Let g(r) = -36*r - 1244. Let m be g(-35). Give z(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c + 5. Let x(h) = 2*h - 4. Give -5*o(u) - 6*x(u).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -23*y**2 + 324*y - 322. Determine a(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w - 2*w + 8 - 7)*(-147*w + 3*w - 9*w) in the form s*w + i + h*w**2 and give h.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 2*s - 17 + 39, 5*s = -3*k - 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38161732 and 5451676.\nAnswer: 38161732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*((-24)\/9)\/(-1). Let x(i) be the second derivative of -i**3\/3 - 5*i**2 - 78*i. Does 2 divide x(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4377654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*(sqrt(60) - sqrt(240)\/sqrt(4)))\/((sqrt(180)\/sqrt(3))\/sqrt(5))*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 16*x**2 + 81*x + 5. Let g be p(-5). Solve g = 4*w + 3 + 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2040687.1 rounded to the nearest one thousand?\nAnswer: -2041000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 6 - -30 - 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-15))\/(((-4)\/60)\/1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 - 63. Let i(q) = 20*q - 2 + 2 + 2 - 21*q. Give i(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.7237 - 0.4663. What is i rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 5) to base 9\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + 756*o**3 - 9360*o**2 + 512*o + 199680.\nAnswer: 2*(o - 8)**2*(o + 4)*(o + 390)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*m - 573657 = 232503. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -136, -5, 4266, -2, 0 in decreasing order.\nAnswer: 4266, 0, -2, -5, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + -1bca2?\nAnswer: -1bc94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 130729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 196 + -199. Let o be (16\/(-6) - j)*(2 + 7). Let q = -24 - -25. Solve 0 = 2*l - 9 - q, o*h = -5*l + 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 6:53 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -u + m - 18, 4*u + 33 = -3*m. Let x be 25\/(-10)*u\/15. Let d = -12 + 23. Calculate the greatest common factor of x and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, q: 2, s: 6}. What is prob of sequence ooqq?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + -142001526?\nAnswer: -142001541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56706626 and 62184.\nAnswer: 5182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(624) + (sqrt(624) - -6*(sqrt(624) - 2*sqrt(624)) - sqrt(624)))\/sqrt(12))**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvt when three letters picked without replacement from {o: 2, t: 14, d: 2, v: 1}?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -249718 - 581.545.\nAnswer: -250299.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 59*v**2 - 17*v**2 + 30*v**2 + 15*v**2. Let b(s) = s. Give b(w(k)).\nAnswer: 87*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 8:02 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + 30)*(2 - (-2 + 70)). Let r be (3 - (-19)\/(-7)) + j\/(-21). Calculate the highest common divisor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 5*c + 4. Let d be g(-7). Let j be (16\/18)\/(d\/(-15)). Let 2\/3 + j*b**3 - 4\/3*b**2 - 2\/3*b**5 - 2\/3*b + 2\/3*b**4 = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3217814 or -58\/3?\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1563479 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -17. Suppose v*b - 702 = 16*b. Let f be (-2)\/3 - 120\/b. What is the nearest to -2 in 0.2, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*b + 27456 = 61494 + 133218. Is b a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 343 divided by -7\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5170*n + 46188.\nAnswer: -5170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 - 7*r + 3. Give t(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/4)\/b)**(-34)*b\/(b**6\/b)*b**(-4\/3)*b*((b**(-2\/5)*b)\/b*b*b**(-1\/4))\/((b**(-1)*b)\/(b**(-3\/2)\/b)) assuming b is positive.\nAnswer: b**(2161\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -154*y**2 + 2042*y - 520. Give b(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from {p: 5, x: 1, d: 4}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 19669*r**2 - 25*r - 4. Let t(d) = -7*d. Calculate t(y(i)).\nAnswer: -137683*i**2 + 175*i + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + 1 + (-44)\/(-80) and 7\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.26 - -0.44. Let w = 8.3 + o. Let q = 8.9 - w. Which is the nearest to q? (a) 0.5 (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3122 - -3?\nAnswer: -3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-53)\/(1325\/(-24360)) + (5 - (0 - -5)). Which is smaller: k or 975?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 6*q**2 + 6*q + 9. Suppose j + 4*j + 40 = 0. Is z(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 151.64943 microseconds?\nAnswer: 0.0000025274905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 746039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 34 = -3*a. Let b = 24 + a. Let j(r) = -34*r - 1. Let p be j(-1). What is the highest common divisor of p and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 286 + -192. List the prime factors of o.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 + 24*p + 23. Let t be o(-7). Suppose t*n - 19*n = -4845. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.104 (c) -11 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 120044.6t?\nAnswer: 120044600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j + 123 = 27 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + h - 1. Let c be m(3). Let u = c + 19. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2370 * -0.15\nAnswer: 355.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*q = -232*q - 20850. Is 15 a factor of ((-5)\/(-3) + -2)*q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -226 <= 4\/28063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15248 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 305, 1142, 3073, 6644, 12401?\n\"Answer: 91*w**3 + w**2 + 197*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 351 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + 0*c**3 - c**3)*(928 + 81*c - 928) + 3*c + c**4 - 3*c + (2*c**3 - c**4 - 2*c**3)*(-1 + 5 - 3) - c**4 + 5*c - 5*c + 3*c**4 - 2*c**4 - 2*c**4.\nAnswer: -83*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-4)\/(-56))\/(-58)*(-336)\/(-21).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -11*k**5\/2 + 200*k**4 + 1127*k**3 - 3406*k**2 + 5317*k\/2 - 574 = 0.\nAnswer: -7, 4\/11, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4*5\/25. Let a = q + 31\/180. What is the closest to 2 in -0.3, a, -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -916, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 44 = 5*t + 1119, 0 = u - 2*t - 580. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - f = -74, 4*q - 4*f + 64 = -2*f. Let j be 430\/q - 16\/56. Sort 3, j, -1.\nAnswer: j, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3800 is divided by 1821?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - -2.6. Let f = q + -2.5. Let m = -2.878 + -0.122. What is the closest to -0.2 in -4, f, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 0, 112.66?\nAnswer: 112.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 11:33 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612 = 4*f - 7*r + 3*r, f - 3*r = -153. Let o = 32 + -36. What is the remainder when f\/o + 1\/(-4) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25605 (base 7) to base 3\nAnswer: 100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}