diff --git "a/data/dm_maths/full_data_2/1882_11255.jsonl" "b/data/dm_maths/full_data_2/1882_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1882_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let w = 0.0576912 + -0.0976912. Let n = -3 - -5. Sort w, n, -0.05 in descending order.\nAnswer: n, w, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 3:22 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -83, -1, 17, 1 in decreasing order.\nAnswer: 17, 10, 1, -1, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*m**4 + 20*m**3 + 1041*m?\nAnswer: 216*m**2 + 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.10821 + 38006.1.\nAnswer: 38011.20821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3526, 46, -8 in ascending order.\nAnswer: -3526, -8, -1, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 11*c + 5*q + 15, 4*c - 3*q = 9. What is the second biggest value in c, -0.5, 258?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-9))\/(-64*(-53)\/(-12720))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*y = 28, -2*y = 3*y + 25. Let d be m - (-9*1 - -2). Solve d*a - 16 = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 460*v - 9014*v**3 - v**2 + 8809*v**3 + 0*v**4 - 3*v**4 - 457*v as q*v**3 + h + d*v**2 + x*v**4 + c*v and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-150)\/(-9))\/25)\/((-2)\/(-9)). Which is the second biggest value? (a) y (b) -2 (c) 1\/5 (d) -4 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1344*q**3 + 1254 wrt q?\nAnswer: -4032*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 8:40 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 7.1. Let p = 124834173.00000024 + -124834180. Let a = i + p. What is a rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -831 + 845. Let o(i) = -i**2 - 4*i + 1. Let q be o(-3). Solve -q*z - h = -0*s + s, 0 = 5*z + 15 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -297.00001903 + 297. What is w rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b - 5*b + 2*b + b + 517*b**2 - 446*b**3 wrt b.\nAnswer: -2676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1896 divide 268970352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-1))\/((-670)\/(-25)). Let s = u - 1398\/335. Find the common denominator of s and (-4)\/8 + (-5)\/14.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -302302 - 113?\nAnswer: -302420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 - o**4 + 2*o**4 + o**4 - 3*o**4 - 4*o**4 + (-6 + 6 + 6*o**2)*(-3*o**2 + 83 - 83) + (0*o**2 - 3*o**2 + 5*o**2)*(o + o - 3*o)*(-2*o + o + 3*o).\nAnswer: -29*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -3*o**4\/2 + 9*o**3\/2 + 75*o**2\/4 + 18*o - 25. Factor a(d).\nAnswer: -3*(d - 4)*(d + 1)*(4*d + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12021 + 10?\nAnswer: -12011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(2057)*1.\nAnswer: 5 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/((-56)\/8))\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p + 3*p - 6*p + p**2 - 1. Let i be m(-3). Suppose -2*a + 6*a + 4*o = 4, -2*o - i = a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3 = 1. Let l(a) = -4 - a + 3 - a**2 + f*a**2. Let z be l(-1). Is 2 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 6:14 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -17*j - 4. Let h(c) = -34*c - 7. Give 4*h(p) - 7*z(p).\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 16*a - a + 21*a.\nAnswer: 31*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/286)\/((-2739)\/143 + 19)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714*m - 14208 = -1519*m + 657*m for m.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -32*y**3 + 160*y**2 + 159*y + 11. Let u(k) = 6*k**3 - 32*k**2 - 32*k - 2. Let g(t) = -4*q(t) - 22*u(t). Find j such that g(j) = 0.\nAnswer: -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 19*h**2 - 584*h + 6006. What is z(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 38*u - 142. Calculate t(19).\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n - 11*n + 5*n)*(-2*n**2 + 0*n + 0*n).\nAnswer: 22*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3262.9781 + 0.0219. Which is bigger: t or -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -554202151 divided by 4.\nAnswer: -554202151\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -1665725?\nAnswer: -1665724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 22 = -2*p, -35*m + 5*p = -38*m - 23 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 12:23 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11045 by 2.\nAnswer: 11045\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 1252.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/15)\/(-33*(-7)\/(-105))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/(8\/32). Let k = i - -1. Suppose k*p + m = -3*m + 11384, -4*p = -2*m - 15208. What is p rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*z**3 - 18*z**3 - 12*z**3)*(-2598*z - 1047*z + 1127*z) to o*z**4 + j + d*z + x*z**3 + u*z**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -61*z - 130. What is the hundreds digit of d(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 57\/8. Which is the nearest to 0? (a) -1\/2 (b) x (c) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/264700041 and -91\/4?\nAnswer: 1058800164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 94960036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 5*o - 10*o + 7*o.\nAnswer: 2*o**2 - 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1716, 49546, -4 in ascending order.\nAnswer: -4, 1716, 49546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3242.26 rounded to the nearest 10?\nAnswer: -3240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 4:30 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39 (base 11) to base 9.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.3.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 349.8993l?\nAnswer: 349899.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t = -5. Let u(b) = 30 + 3*b**2 - 30 + 306*b - 308*b. Let w be u(t). Solve -w*f - 3 = -5*k + 2, -9 = -3*k + f for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 8:18 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -511 - -4083\/8. What is the common denominator of 113\/6 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 58*h + 38. What is the tens digit of i(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6128 + -2299. Suppose -32773 + c = -36*s. List the prime factors of s.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50371.1169982 - 50388.117. Let s = m + 17. What is s rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*t - 60. Let d = t - 6. Let y = 19 - d. What is the remainder when 19 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270) - -6*(2*sqrt(270) + sqrt(270)))\/(-1*sqrt(36)))\/(-3*-1*sqrt(24) + (sqrt(1944)*-2 - sqrt(1944))).\nAnswer: 19*sqrt(5)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 29*s - 2404 = 4*r, 5*r = 5. Calculate the least common multiple of s and 18.\nAnswer: 5418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, k: 9}. Give prob of picking 2 c.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*i**2 - 44*i + 44*i + (3*i - i + 0*i)*(6*i - 2*i - 3*i).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374101956.\nAnswer: 2, 3, 3463907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-7\/5)*k)\/k*(k\/(k*k\/k**3*k*k*k))\/k*k assuming k is positive.\nAnswer: k**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (414 - 67 - 94)*(4*z + z - 4*z)*(-2*z**3 + 3*z**2 - 3*z**2) to q*z + h*z**3 + u*z**2 + y*z**4 + j and give y.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 871*a + 116467 = 157404 for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 1. What is b(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69489 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 588629 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z\/((z*z\/z**(1\/60))\/z)*(z**11\/z)\/z)\/(z**(-43))**(-1\/7) assuming z is positive.\nAnswer: z**(2467\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/((-6)\/4) + 8540\/60 is divided by (-294)\/(-4) + 1\/(-2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632 is divided by 609.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5754372 and 184435.\nAnswer: 28771860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {h: 1, b: 3, i: 2, y: 7, q: 4}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 235050 or -1?\nAnswer: 235050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -0.5, -2, 3 in increasing order.\nAnswer: -48, -2, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n**2 + n - 5. Let i(u) = 5*u**2 - 4. Let l(t) = t - 8. Let x be l(13). Suppose x*c + 14 = 3*m, 0*m = -3*c + 4*m - 4. What is c*i(z) + 3*s(z)?\nAnswer: -2*z**2 + 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257436 - k + 257436.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/15*-1*((-45)\/50)\/(576\/30)?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4394043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -405, -617, -845, -1095, -1373, -1685?\nAnswer: -2037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 35790*m**2 + 107055*m + 1931850.\nAnswer: 5*(m - 7155)*(m - 9)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 828092880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1125394, -2250790, -3376186?\n\"Answer: -1125396*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 0*m**3 - 4*m - 1\/6*m**4 + 1\/2*m**2 + 0 + 3\/20*m**5. What are the prime factors of t(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 5*v + 3. Suppose -3*y + 72 = -9. Suppose 4*l - 24 = -c, -4*l - 7 + y = 0. Determine x(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*h)*(0 - 1 + 3) + (3*h - 2*h - 3*h)*(2 + 0 - 4) + 58 - 60*h - 58 + 177 - 177 + 9*h - 3*h + 5*h - h as d*h + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -84. What is the remainder when f is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(98) - (1*sqrt(98))**2).\nAnswer: -196 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 2:09 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 25. Let b = n - 41. Is 0.1 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 1\/6*q**2 - 16\/15*q**5 + 7\/9*q**3 + 2\/3*q**4 + 3 + 0*q. Find t such that h(t) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -3*b**2\/2 - 68823. Let o(f) = f + 1. Let k be o(2). Let x(y) = -10*y - 11*y + k*y. Calculate w(x(d)).\nAnswer: 54*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(-4)\/4*2*14475\/965\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -33c1 - -2c?\nAnswer: -3395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 46*p**2 + 97*p**2 - 119*p + 123*p as f*p**2 + a*p + h and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*z + 4740 = -78*z. Calculate the remainder when z is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from yykyjzyczckcccyk?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 5*r - 5, -r = -t + 4*t - 11. Let n be 5\/(60\/3837) + (-2)\/(-8). Suppose -n = -5*s + t*h, -48 = -s - h + 6*h. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 12:30 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 299074 and 127324.\nAnswer: 83142572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 135455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333*o + 20 = -328*o, -o + 12 = -4*w. Which is the second smallest value? (a) -1.3 (b) -0.5 (c) -8 (d) w (e) 3.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*f + 6 = 0, 4*s - 4*f + 0 = -16. Let p be 34\/10 + (s - 1). Let 2\/5*m + 2\/5*m**2 - 2\/5*m**3 - p = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1. Let m(k) = 55*k**2 + 27. Let j(s) = -m(s) - 3*y(s). Let o(g) = 18*g**2 + 8. Let d(q) = 2*j(q) + 7*o(q). Find the first derivative of d(x) wrt x.\nAnswer: 32*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -456 + 157 + 148 + 151 - 3987*z**2 + 2*z in the form t*z**2 + a + v*z and give t.\nAnswer: -3987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2429555226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 6, w + w = -4*u + 234. Let o = w - 111. Factor 3\/2*h**o - 3\/2*h**4 + 3\/2*h**5 + 0*h - 3\/2*h**3 + 0.\nAnswer: 3*h**2*(h - 1)**2*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/131607 and 73\/9?\nAnswer: 131607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-28860)\/(-20))\/(3\/7)?\nAnswer: 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hne when three letters picked without replacement from {n: 4, e: 2, h: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 719*n - 688*n + 1159*n.\nAnswer: 1190*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -298*m**7\/21 - m**4\/12 - 233*m**3\/6 - 39*m**2 - 5. What is the second derivative of z(j) wrt j?\nAnswer: -35760*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1343 = 30*w + 80*w - 353 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/9, -0.007, -0.2, -97 in increasing order.\nAnswer: -97, -4, -2\/9, -0.2, -0.007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-420)\/75*15*-1. Suppose -18 = 6*u - j. Let g = u + 23. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -44166, -88340, -132516, -176694, -220874, -265056?\n\"Answer: -v**2 - 44171*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -1 (c) 0.978 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 395578947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 0*h + 6*h + h**3 + 5*h**2 - 4*h - 3. Give t(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 l, 1 w, and 1 v when four letters picked without replacement from {l: 1, r: 2, j: 5, v: 1, w: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 586531540 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/7974 and -38\/41199.\nAnswer: 247194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((3\/(-5))\/((-210)\/875))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -206, -2, 3, 11 in descending order.\nAnswer: 11, 3, -2, -3, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 30*j - 28*j. What is the highest common factor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4250263183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 5*q**2 - q - 12. Let h be x(3). Let c(i) = 2*i**2 - 4. Let m(a) = -2*a**2 + 3. What is h*m(f) + 2*c(f)?\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15594 + -1424.763.\nAnswer: 14169.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -776*h + 954 + 33 + 774*h - 1014 + 27.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.3 (b) -1 (c) 4 (d) -12.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/24)\/(-6*5\/(-930)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, s: 1, n: 1, i: 1, u: 1, g: 1}. What is prob of picking 1 s and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 6 + 3. Suppose 245 = 5*q - i*z + 4*z, -5*q + 236 = -2*z. Let t = q - -19. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-24) + (-7)\/(-3). Find the third derivative of -2*p**2 - 5*p**4 + 0*p**4 + 3*p**4 - x*p**2 wrt p.\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/14 and -11\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 918.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652544.\nAnswer: 2, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 367*z + 7. Let v(m) = 734*m + 13. Determine -7*c(s) + 4*v(s).\nAnswer: 367*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.221283329 to 2 decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, 22, 52, 104, 184, 298, 452?\n\"Answer: z**3 + 2*z**2 + z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/3 in -3\/256, -0.3, -6, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/2 - 31*f**2 - 63*f\/2.\nAnswer: f*(f - 63)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -16*((-6)\/(-2) + -2). Let v be (-24)\/f - 2\/(-4). Let j be v\/24*(-8)\/(-3). Is 1 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 90*m + 3. Let f(z) = -178*z - 9. Calculate -2*f(p) - 5*r(p).\nAnswer: -94*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.69? (a) -0.3 (b) 0.01 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 + 4*i. Let o(y) = -y**2 + y. Let c(r) = 4*o(r) - q(r). Let m(p) = p. Calculate m(c(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -324 + 3343110330?\nAnswer: 3343110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -143 + 233. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/570 and 167\/4788.\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1001\/49 + (-6)\/14. Let n(j) = -39*j**3 - 2*j - 1. Let b be (-1 - -2)\/(-1 + -5 + 5). Let q be n(b). What is the highest common factor of p and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245363 is divided by 4846.\nAnswer: 4787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 177742.84 to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.152189 take away 0.3?\nAnswer: -5.452189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*(2\/15)\/((-102)\/(-306)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000 + 11?\nAnswer: -1010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*u**2 - u + 38*u**2 - 6*u**4 wrt u?\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 5*d - 9. Let k be s(-7). Suppose 2*q = -k*p - 8 - 20, -2*q + 8 = -4*p. Put 0, -3, q in decreasing order.\nAnswer: 0, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 1 + (-20)\/(-8). Let s = -5\/12 - 1\/12. Which is the third biggest value? (a) -0.2 (b) k (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1796 - -1758.08. Let i = 37 + k. Let q be ((12 - (16 + -7)) + 22\/(-4))\/((-90)\/(-18)). Which is smaller: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from iiititiiiiiiiittiit.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -921, -5131, -16545, -38763, -75385, -130011, -206241, -307675?\n\"Answer: -600*w**3 - 2*w**2 - 4*w - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 5458419.\nAnswer: 76417866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 + -1 - -30 - (1348 - 1338)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2092 divide 1515441066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 17. Let q be p*4\/(-16)*-2. Which is the second biggest value? (a) -3\/2 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 323\/171 - (2 - 0). Put -5, -1\/4, u in descending order.\nAnswer: u, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -v + t, -12 = -2*t - 2*t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 0.4, -0.1, -55, -0.5.\nAnswer: -55, -0.5, -0.1, 2\/15, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(7\/5)\/n*(n\/((n**(-3\/14)*n)\/n)*n)\/n)\/(((n**(-3\/7)\/n*n)\/n)\/n**15) assuming n is positive.\nAnswer: n**(1263\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 26*r - 3675. Let i = 128 - 233. Let b = i + r. Does 35 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i**3\/7 - 6007*i**2\/7 + 30301*i\/7 - 2705\/7 = 0. Calculate i.\nAnswer: 1\/11, 5, 541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m**3 - 22*m**2 - 22*m + 1. Let f be d(-1). Solve 9 = -3*v, 5*i = -2*v + f + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1839 a factor of 9497825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 14, 0, 0.3, -0.0992?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -90186\nAnswer: 36074.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-50)*(-2)\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, v: 2, z: 1}. What is prob of picking 1 i and 1 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -27. Let s(q) = q**2 - 9*q + 17. Let f be s(7). Suppose w = -f*m - w + 55, 4*m = -3*w + 75. What is the greatest common factor of a and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 2*n - 3. Let l be v(-2). Let w = 27073 + -26978. What is the greatest common divisor of l and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7559754 and 10?\nAnswer: 37798770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/38)\/(614\/(-11666))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2431343 (base 6) to base 16\nAnswer: 1f68f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/5)\/m**(-14\/9) assuming m is positive.\nAnswer: m**(61\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1146706605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(84)*3 - sqrt(84) - sqrt(84)))\/sqrt(12).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35506136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000024746 rounded to seven decimal places?\nAnswer: 0.0000247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (26\/(-455))\/((-24)\/14). Let w(u) be the third derivative of 0 + y*u**5 + 0*u - 1\/12*u**4 - u**2 + 0*u**3. Find h such that w(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -116, -235, -358, -485?\n\"Answer: -2*h**2 - 113*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**0))**(3\/10)*(t**(-2))**(-11) assuming t is positive.\nAnswer: t**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 12:21 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 3\/12*0. Let r be -1 + 7 - (3 + f). Solve d + 5 = 0, -5*v + 0*v + r*d = -35 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -8.4.\nAnswer: 12.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 6, -2, -8, -12, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*s + 5*s = 0, s = -5*b - 30. Let w = b - -7. Let h(d) = 2*d + d - w*d - 5*d. Determine h(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10419908*m**3 - 3822*m**2 + 101*m.\nAnswer: 62519448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.014832755287 and 1.3?\nAnswer: 1.285167244713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1991 - 1934. Let x be (1 - 12)\/(36\/184). Let p = x + a. Is 2 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.54 - 72.46. Let f = -75 - o. Which is the biggest value? (a) -2\/13 (b) f (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -316*u**7\/105 - 13*u**5\/15 - u**4\/12 - 326*u**2. Find the third derivative of x(z) wrt z.\nAnswer: -15168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*b + 158*b - 126 = -63*b - 2541 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*d + 0*d - d)*(-1 - 3 + 1 + (-2 - 4 + 4)*(2 + 2 - 2)) + (2*d - 5*d + 6*d)*(1 + 1 - 4))*(0 - 1 + 3).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 124, -3\/98, 1\/3?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*g + g + 1472, -5*g = 2*z - 1831. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/(-30)*10\/8*(-10)\/(-15). Let q(j) = 6*j**2 + 3*j + 4. What is q(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14371 and 15071.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, y: 3}. Give prob of picking 2 y and 1 r.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 4*h + 36, -a + 2171 - 2160 = -3*h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, m: 2, d: 1, w: 4}. What is prob of picking 2 w and 2 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3587 - -3780. Solve 10*i = c - 123 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.79 + -0.21. Let g = -2 - f. Which is the nearest to 1? (a) 5 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1952 or -1960?\nAnswer: -1952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*y + 523338 - 523342 + 2*y**3 + 51*y.\nAnswer: 2*y**3 + 83*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 18, 19, 20?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**2 - 439025*n - 10533720 = 0.\nAnswer: -87781, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12091707037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1972082 is divided by 413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29*b*j**4 - b*j - 24*b - 4*j**4 + 6 wrt j.\nAnswer: -116*b*j**3 - b - 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - (-2 - (33 + -14 + -23))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145475 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - 32. Suppose 3*o + 2*y = -2, -20 = -39*y + 35*y. Sort o, z, 2, -2.\nAnswer: o, -2, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53\/3 - 35\/(-9)*(-36 + (-16512)\/(-448)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 1)*(2 - 6 - o + 276*o**2 - 291*o**2) to the form r + d*o + b*o**2 and give b.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 27*v = -33. Solve 2*p + 5*g = 2*g - 17, 3*g = -v*p - 21 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by -4963.\nAnswer: -78\/4963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from audum. Give prob of sequence uu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7))**46\/(j**0\/j*j)**5*j**3\/j**(-6)*(j*j\/(j*(j*j**(-4\/9)*j)\/j*j)*j)\/((j**(-4)\/j*j)\/j) assuming j is positive.\nAnswer: j**(82\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 353.3 + -410. Let f = b + 48.7. What is the closest to -2\/5 in 5, -4, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64030187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 not equal to 567650?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 5, 49, -5, -4 in increasing order.\nAnswer: -16, -5, -4, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -183 + 368. List the prime factors of z.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -139440952*k**3 + 115530955 with respect to k.\nAnswer: -418322856*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 16 = 180. Let u = -59 - m. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 + 7 - h**3 + 2 + (2*h**3 - h**2 + h**2)*(-1 - 3 + 3) + 3*h**3 - 2*h**3 - 2*h**3.\nAnswer: -4*h**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 450 (b) 2\/5 (c) -0.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**5 + 128*j**4 - 1184*j**3 + 1912*j**2 + 7908*j + 4680 = 0.\nAnswer: -1, 6, 13, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3153 = -4*t, g - 15*t + 11*t - 645 = 0. What is the remainder when g is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(5\/2))*v**(-5\/6))**(-1\/3) assuming v is positive.\nAnswer: v**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 167 divided by 6\nAnswer: 167\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 19*o**2 - 6*o. Suppose 3 = -p, 15*v - 11*v - 3*p + 59 = 0. Let f(h) = 56*h**2 - 17*h. Give v*c(m) + 6*f(m).\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*16\/(-168))\/((-100)\/(-14)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**3 + 17539*g - 32*g**3 - 17538*g.\nAnswer: -47*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b - 33 = -5*u, -15 = -2*u + b. Do -2 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 3*n**5 - 25*n**4\/2 - 25*n**3\/3 + 50*n**2 + 60*n + 306. Solve i(m) = 0.\nAnswer: -1, -2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1037, 1930, 2529, 2690, 2269?\nAnswer: 1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 953 = -r, 1281 = -5*v + 5*r - 324. Let g = v - 2284. What is g rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -148a8ec - 13?\nAnswer: -148a910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h - 5. What is j(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1005739, -1005717, -1005687, -1005649, -1005603, -1005549?\n\"Answer: 4*r**2 + 10*r - 1005753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 140 - 44. Let u(d) = 2 + 8 - 20*d - 13 + z*d. Is u(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93 by 26.\nAnswer: 93\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 14*m**2 - 4*m - 52. Let l be y(-14). Suppose -12*j = -l*r - 9*j + 1970, j + 1475 = 3*r. What are the prime factors of r?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2 = 4*s, 0 = -3*s + 2*s + 3*k - 4. Differentiate s*w**4 - 6*w**2 - 12*w**4 + 13*w**4 + 113 wrt w.\nAnswer: 12*w**3 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1820832.\nAnswer: -1\/455208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k + 30*k = 4*j - 55639, 6*j = 24. What are the prime factors of k?\nAnswer: 3, 18541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 7348256?\nAnswer: 183706400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 11:29 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -238 + 233. Let l(g) = -8*g + 5. Let f(r) = -4*r + 1. Let q(i) = 5*i - 2. Let h(b) = 2*f(b) + 3*q(b). Determine n*h(a) - 4*l(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1659200?\nAnswer: 2, 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/36 - (-110)\/9. Solve 8 = 2*o, o + u = -c - 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 518*r - 622*r**3 - 518*r + (1 - 5 + 2)*(-51*r**2 + 51*r**2 - 7*r**3) as x*r**2 + s + o*r + y*r**3 and give y.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7446566 times -5?\nAnswer: 28.723283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-72))\/((-5)\/75)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (-2 + sqrt(39)\/sqrt(3) - sqrt(13)) - sqrt(13) - (sqrt(13) + 2)*-5.\nAnswer: 12 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -351 + 225. Let r = -126.00298 - o. What is r rounded to 4 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437 is divided by 210?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14995 + 15107 + (-2 - 99)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24 - -584751?\nAnswer: 584728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 26 = -2*s, k + 36 = 5*s - 46. Suppose 0 = 4*y - 36 - s. Let d = -54 + 91. Calculate the remainder when d is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*s - 7*s**4 + 15*s**4 + 25*s**4 wrt s.\nAnswer: 396*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -25101.\nAnswer: 10040.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 12:44 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2441 + 21849 = -97*x + 444*x for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**2. Let f(d) = -17*d - 6. Let q(m) = 16*m + 5. Let z(w) = 6*w - 18. Let a be z(4). Let s(n) = a*q(n) + 5*f(n). Determine s(b(o)).\nAnswer: -33*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -6 - 4. Factor t**s - 3*t + 3*t + t**3 - t**4 - t.\nAnswer: -t*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*(0 + -3*sqrt(125)) + 4 + 3*sqrt(125)*-5 + sqrt(125) + 0)**2.\nAnswer: 640*sqrt(5) + 32016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15079 from 0.16.\nAnswer: -15078.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 7*j**2 + 7*j - 2. Let m be t(6). Is 3\/6 + 218\/m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (sqrt(3) - sqrt(12)*-5) + sqrt(27)*3.\nAnswer: 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 + -12244?\nAnswer: -12340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 931*m*s*x - 33*s*x - 2*x wrt m?\nAnswer: 931*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 + -101. Let j = -34.8 - w. Suppose -6 = -2*i + 4*d, -d - 4 = -3*i - 0*i. Is j less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 293 + -285. Let i(y) = -y**3 + 10*y**2 + 16*y + 19. List the prime factors of i(w).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136741, -136743, -136745, -136747, -136749, -136751?\nAnswer: -136753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13536787 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -942172 divided by -235543.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 40) + 34 + -34 - 18?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*f - 30, -p - 49 = -3*f + 3*p. Suppose 1 = -2*z + 13. Suppose -f*v + z = -17*v. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 + -83.76. Let r = f + 3. Let j = r + -0.243. What is j rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*a = -9, 4*v - 4*a + 0*a + 12 = 0. Do v and 7\/99 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2*n*r - 22*h**2*n + 322*h*r - n*r - 2*n + 287*r - 11 wrt h.\nAnswer: 2*h*n*r - 44*h*n + 322*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - (sqrt(98) + sqrt(98) + 1) - sqrt(98)) + (sqrt(22) - (sqrt(550) + sqrt(22)))\/sqrt(11))**2.\nAnswer: 38*sqrt(2) + 723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 226253127, 226253130, 226253133?\n\"Answer: 3*f + 226253124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 4*u**7\/7 + u**3 + 8. What is the third derivative of z(k) wrt k?\nAnswer: 480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -36. Let p(n) = 27*n**2 + 1. Let a be p(1). What is the greatest common factor of o and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22 + 582 + 10 - 2*y**2 - 132 + 504 - 1139*y**5 wrt y?\nAnswer: -68340*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7236629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6 = -10. Suppose 5*i = m*x + 100, 4*x - 13 = -5*i + 47. What is the lowest common multiple of 4 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w = -43*w + 3504. What is the remainder when w is divided by 42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 0*v**2 - v**2)*(v**2 + 0 + 0 + (2*v + 0*v + 0*v)*(-v + 0*v + 2*v)).\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 6. Let h(q) = -q**3 + 1. Let z(m) = -7*m**3 - 3*m**2 + 4*m + 3. Let b(l) = 6*h(l) - z(l). What is the units digit of b(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.1*-1085\nAnswer: 17468.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16951006 - 9780006. Round z to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n = 9 + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/16061549 and 71\/79842.\nAnswer: 96369294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-152 + 18*g + 152 + (3*g - 5*g + 4*g)*(3 - 4 + 0))*(4*g**2 - 3*g**2 + g**2).\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 4080 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000690118447 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*h + 71, -14*h + 17*h = -3*d + 99. Calculate the remainder when 305 is divided by h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 451638 divided by -11\nAnswer: -41058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3*x + 28, -x + 29 + 31 = 4*u. Let t(b) = -b**2 - 7. Let v be t(-5). Let f = v + u. What is f rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -347*y + 596*y + 910*y + 691*y as d + x*y and give x.\nAnswer: 1850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1 = 2*c. Let r be -2*((-2)\/c - 4). Let h = -1 + r. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 557 + -32. Suppose 0 = -33*k + 54*k - v. Solve 8*y = 3*y + k for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7, -6, -43, -116, -237, -418?\n\"Answer: -2*u**3 + u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 43, 73, 105, 139?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1039?\nAnswer: -3\/1039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 138, 1\/13 in descending order.\nAnswer: 138, 1, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 487 + -312. Let b = w + -367\/2. What is the common denominator of 29\/14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.898032 milliseconds to microseconds.\nAnswer: 5898.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/49, 3, 0, -0.1 in descending order.\nAnswer: 3, 1\/49, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*w + 3*w - 4 = 0, h + w = -12. Is 16 a factor of (-31700)\/(-125) + 6\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 >= 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2 (b) 5 (c) -4\/7 (d) -173 (e) 294\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-8)*146\/(-365)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 975, 2365, 4329?\nAnswer: 6867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/(n*n**(-17))))*n**(-11))\/(((n\/n**(1\/36))\/n)\/n**(-11)))**(-29\/3) assuming n is positive.\nAnswer: n**(5191\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/76)\/((-4)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 176\/55*(-10)\/22 and -4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.9 (c) 0.05 (d) 15 (e) 3\/2 (f) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 179968987 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 20 + 8)*(13 + 37*u - 11*u + 14 - 27) to the form o + q*u and give q.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -889, -3566, -8027, -14272?\nAnswer: -22301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 847120276 by 211780069.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1609 (base 12) to base 10.\nAnswer: -2601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*a + 4*g = -113*a - 13, 5*a - 15 = 5*g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 45, 179, 439, 867?\nAnswer: 1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -699.0003912 - -699. Round f to five dps.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -363506301 + -50?\nAnswer: -363506351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 464.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15635?\nAnswer: 5, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23960560 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704)*-1*3.\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -60509\nAnswer: -60516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -1, 78.79, -0.4, 0.1 in ascending order.\nAnswer: -1, -0.4, 0, 0.1, 3, 78.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from {a: 3, g: 10, r: 3, m: 2}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 6:33 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*a**2*i + 6367*a**2 - 7*i**2 with respect to i.\nAnswer: 37*a**2 - 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeleljelb. What is prob of sequence bel?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + -34 - ((13 - -43) + -52).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/((sqrt(162)\/sqrt(3))\/sqrt(9)))**2 - ((-1 + (-1*sqrt(300) - sqrt(300)))**2 - sqrt(300)) - ((3 + sqrt(6)\/sqrt(2))*2 + 5 + -5).\nAnswer: -1204 - 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + 0. Suppose 2*o + x = 5*o. Suppose 6*q**2 - o*q + 8 + q + q**3 + 14*q = 0. What is q?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2023677 - -959303. Let x = j - -1064374.1000002. Let c = 0.1 - x. Round c to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27718567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -6, 17, -25, -2.\nAnswer: -25, -6, -5, -2, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**3 + 14*f**2 - 9*f - 2. Let i be k(-4). Let t(y) = 48*y**3 - y**2 - 4*y + 4. Does 5 divide t(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-12) + 21\/(2940\/1855)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 518, 1143, 1768, 2393, 3018?\nAnswer: 3643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.47 + -2.37. What is the biggest value in -2\/5, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.4 (b) -33 (c) 27676\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-12))\/((-4)\/(-8)). What is the second smallest value in -4, f, 4\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 4313635377953?\nAnswer: 4313635377953.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 761492878 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 51847483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 3 = -5*h. What is the remainder when 46 is divided by h + 104\/48 + 149\/6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9593)\/(-75)*(-28)\/(-5404). Let l = 10\/579 + g. Find the common denominator of 12 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313 = 2*g + 2*g - 3*x, -g = -x - 78. Suppose 2*w = -5*p - 1219 + 1327, 4*p - 100 = -5*w. What is the remainder when g is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(1 - 2) - -54. Let x = y + -46. Suppose -5*m + 5*q = -50, -x*m - q + 38 = -m. Is 11 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 115015212 and 53083944?\nAnswer: 690091272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1167093?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-4 + 3)) + 4 - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 3050. Let v(y) = -27*y**2. What is i(v(d))?\nAnswer: -729*d**4 + 3050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 202, 2, 5, -48, 0, -2 in descending order.\nAnswer: 202, 5, 2, 0, -2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754 is divided by 106?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 22240 and 8.\nAnswer: 22248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.867595336 from -7.55.\nAnswer: -0.682404664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 11 (b) 0.1 (c) 3 (d) 73\/46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 11:42 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - (-145)\/30 - -6. Let y = h - 31\/6. Factor -2\/9 + 2\/3*w - y*w**2 + 2\/9*w**3.\nAnswer: 2*(w - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v. Suppose -23 = -4*r + 17. Suppose 7*x - r*x = -6. Let i(m) = -3 - 5*m + 5 - x. Calculate b(i(u)).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 13259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 2. Give x(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 4. Let n be (-3)\/(-1) + -6 + a. Sort -3, n, 0 in descending order.\nAnswer: 0, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, s: 2, l: 3, u: 1}. What is prob of sequence vvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**2\/v)))\/(v\/v**(-11)) assuming v is positive.\nAnswer: v**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -86 + 7*p**3 + 86 + (-3*p**2 + 3*p**2 - p**2)*(p + 3*p - 3*p) - 4 - 2*p**3 + 4.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(((-2)\/(-7))\/(((-209)\/77)\/(-19)*1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from idesk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*p = -p - 20, -2*z - p - 11 = 0. Let h(l) = -l**2 - 3*l + 6. What is h(z)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 116354.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -9871*s**2 + 30*s + 10928. Let b(h) = -14807*h**2 + 48*h + 16393. Let f(n) = 5*b(n) - 8*y(n). Differentiate f(l) with respect to l.\nAnswer: 9866*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2602283.96 and 370439.\nAnswer: -2231844.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*u - 49*u**2 + 152*u - 80*u)*(8*u + 2*u + 2*u)*(u + 0 + 0) - 3*u**4 - 3*u**4 + 5*u**4 + (2*u + u - 2*u)*(-u**3 - 2*u**2 + 2*u**2).\nAnswer: -590*u**4 - 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 219619 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (304*(-15)\/(-1080))\/((-4)\/18).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/15)\/z)\/(z*z**(-5))*(z**1)**45*z**(-3)\/z**(-3)*(z**1*z)**(1\/26) assuming z is positive.\nAnswer: z**(9401\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1441 (base 7) to base 10\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**5\/15 - k**4\/24 - k**2. Let v be d(-1). Let f be ((-5)\/v + -2)*-6. Solve -4*a = -3*a - f*x, -4*a = 5*x + 13 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6 + 15*b - 2 - 5 - b. What is the tens digit of z(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 4*f**2 + 3*f + 3. Let h be p(3). Solve h*q - 21 = 3*s, 5*q - 9 = 4*s + 22 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 364365 + -116?\nAnswer: 364246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5264029 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43403, -43287, -43131, -42929, -42675, -42363, -41987?\nAnswer: -41541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 54370 - -76372?\nAnswer: 152762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 0.12297, 3, 1\/2, 12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -29 + 43 + -28.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (1 + -5 - (0 + -8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) 1\/5 (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -8, -20, -38, -62?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 18.5. Is d not equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*q = -29, 4*n + 0*q = 3*q + 35. Let r = n - 4. Let z be 4\/(-2) - r*-2. Solve p - y - z = -0*p, 2*p + 3*y - 2 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 5. Let m = -305276 - -915829\/3. Let x(p) = p. Let j be x(-3). What is the nearest to m in -1\/4, y, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 15*g - 7. Calculate x(6).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 43 = 5*g + 74, b - 6 = 0. Let f(o) = 3*o**3 - 6*o**2 + 7*o - 5. Let d(v) = 3*v**3 - 5*v**2 + 7*v - 4. What is g*d(l) + 4*f(l)?\nAnswer: -3*l**3 + l**2 - 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from ljljjmjtmtlljtmjsmjt?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 65882 * 1\nAnswer: 65882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 4:31 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2701 + 2699. Which is the closest to u? (a) 1\/5 (b) 0.7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 5, a: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhh when three letters picked without replacement from bbhhbpphhhhppb?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -1 + 49 + -68\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -6466, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 434 - 901\/2. Let v be -18 + 3 + 3 + 0. Find the common denominator of (-3 - -4)\/(v\/117) and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/20*110\/(-25)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 4*a + 551 - 567 = 0, 4*b - 21 = -5*a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1602200 - 36247081.\nAnswer: -37849281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4 + 4497\/6. Suppose -r = 11*d - 133. Let i = d - -228. What are the prime factors of i?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -5*m**4\/12 + 4*m - 7. Let y(a) = -11*a. Give y(t(w)).\nAnswer: 55*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 20*g**3 - 5*g**2 + 5. Let i(p) = -30*p**3 + 7*p**2 - 7. Let k = -4334 + 4339. Suppose 7 + 28 = 5*z. Give k*i(b) + z*a(b).\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*t + 3*t - 1092, -4*f - 2*t + 1080 = 0. Let r = -1321 - -1853. List the prime factors of (-1)\/(r\/f - 2).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0505649 rounded to 4 dps?\nAnswer: 0.0506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from {y: 4, x: 1, p: 2, q: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - -318.5. Round l to the nearest ten.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-1)\/sqrt(12) + (sqrt(35)\/sqrt(5))**2 + 3.\nAnswer: -sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10015820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*h + 638 = -365*h + 721*h for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 3 - 3)*(-3*r + 0*r - r) + 2*r + 0*r + r)*(0 + 1 - 4) + (-1 + 5 - 6)*(3*r + 9*r + r) to w + t*r and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6677342 minutes to nanoseconds.\nAnswer: 40064052000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 195*z**2 - 11714*z - 221400.\nAnswer: -(z + 41)*(z + 54)*(z + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 729749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.4266549 to two decimal places.\nAnswer: 5.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1701)*6 + sqrt(1701))\/((sqrt(1008)*3 - sqrt(1008))*-1) + 3 + 2)**2.\nAnswer: -105*sqrt(3)\/4 + 2923\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 501.75 rounded to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-19\/5))**(-38) assuming n is positive.\nAnswer: n**(722\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 4*o - 2. Let r be d(-4). Suppose -11*i + 6*i = 5. Which is the closest to -1? (a) i (b) -0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*k = 64, -3*p + 3*k + 156 = -0*p. Let y = 67 - p. Find the second derivative of y*t + 35*t**5 - 1 + 1 - 7*t**5 wrt t.\nAnswer: 560*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 6*w - 9 + 31)*(7 - 1 + 1 + 4) to u*w + t and give u.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -156.81 - -100.81. Let x = -0.0339 - 54.7661. Let q = x - d. What is the second smallest value in 0, -1\/6, -0.5, q?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021525 rounded to five dps?\nAnswer: 0.00215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 7*d**2 + 9. Let c be z(-7). Let g be ((-4)\/12)\/((-1)\/c). What is the greatest common factor of g and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 900.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - k + 2, -61 + 53 = 4*k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -2*l + 5*k, -18 = l + 3*k - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 824 + 9 + (13 - 6 - 8). Calculate the highest common factor of n and 884.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 0*z + 418*z**3 - 8086 - 420*z**3.\nAnswer: -2*z**3 - 8086","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5407 - -151395\/28. Let u be 1\/(-5) + (-32)\/40. Which is smaller: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-23 - (-95)\/((-14250)\/(-9300)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3279 or -3?\nAnswer: 3279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/7*b**3 + 15\/7*b**2 + 17\/7 + 33\/7*b = 0. Calculate b.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022d2 (base 14) in base 12?\nAnswer: -222900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o*(((o\/(o*o\/(o*o**(6\/5))))\/o)\/o)\/o*o)\/o)*o*o**(-13)*o assuming o is positive.\nAnswer: o**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*b + 153 + 187, 236 = 4*j + 4*b. Suppose 0 = -2*u - 2, -u + j = 4*h + h. What is the third derivative of 32*y**2 - 11 + h*y**5 + 11 wrt y?\nAnswer: 780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 71582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 205731, 411467, 617187, 822891, 1028579, 1234251, 1439907?\n\"Answer: -8*r**2 + 205760*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 146.322 to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87643260*h**2 - 5*h + 5255402 wrt h?\nAnswer: 175286520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 2. Let y(i) be the second derivative of i**3\/6 + i**2\/2 - 2*i. Let q be y(-5). Which is the closest to x? (a) q (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ndnndddnddnnndndnnd. Give prob of picking 4 d.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**2 - 1894*i - 72560 = 0.\nAnswer: -907, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -366.9 + 12.4. Let a = r - -366. Does a = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*b - h + 2, b = -2*h + 12. Suppose -1 = -b*t + 59. What is the remainder when 57 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from ajjaaajrjejaaarajj.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.1, 23, -35\/309, -1.\nAnswer: -1, -35\/309, 0.1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.0743 minutes in seconds?\nAnswer: 6064.458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-124)\/6 - 1) + 8)\/((-4)\/12). Let h(d) be the first derivative of -2\/9*d**3 - 10\/3*d - s - 2*d**2. Determine o, given that h(o) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -q, -5*q - 3 = -10*q + 2*h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 101011011000100?\nAnswer: -101011011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*u**2 + 20*u + 0 - 20*u - 1 to g*u + s*u**2 + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 12*n + 73. Let c(x) = -4*x - 27. Let r(g) = -11*c(g) - 4*v(g). Determine r(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - -100203501?\nAnswer: 100203521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 12*i + 0 + 3 = 0. Sort -19, 3, i, 0, 38 in descending order.\nAnswer: 38, 3, 0, i, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b + 33. Let h(d) = -2 + 0 + 2*d + 2. Calculate u(h(r)).\nAnswer: 4*r + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.47 in 0, -1\/2, -3, 2\/19?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 10*l + 7*l + l - 8 to the form t*l + k and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l - 105 = -12*h - 39*l + 16*l, -3*h + 2*l - 59 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3032512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 6*v + 10. Let r be o(-7). Suppose -h - r = -4. Sort h, -1, -3 in descending order.\nAnswer: h, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 + -0.7. Let m = 5.12 - 5. Let t = m - -0.08. What is the second smallest value in t, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.294 - 0.26. Let f = 5.434 - u. Let o = 6 - f. What is o rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(-3)\/(r**0)**(-12\/11) assuming r is positive.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -126509103 and 1.5.\nAnswer: -126509101.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/((-17550)\/3625) + -11.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -816c + -4c5?\nAnswer: -8631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - (4 - -29) - (-23 - (-1 - 2)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4)*64\/72.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)*x*x\/((x\/(x*x**13))\/x*x)*x)**(-9\/10) assuming x is positive.\nAnswer: x**(-81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -16, 72, 0.\nAnswer: -16, 0, 5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from {s: 15, q: 3}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12444)\/(-43554))\/(-2 - (0 - 4)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27159.849s to minutes.\nAnswer: 452.66415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210890 and 1876921?\nAnswer: 18769210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 11 - 11. Solve -2*w + 0 - 2 = r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -15, -14, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + 4. Let i(v) = -3*v**3 - v**2 + v + 1. Let j be i(-1). Suppose j*o = -0*o + 42. Calculate the highest common divisor of o and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + v - 3*v**2 + (-3*v - 2*v + 7*v)*(-v - v - v).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/5*210\/84. Solve -3*s - g = -5*t, -20 = -4*t + 3*t - 3*s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38805 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 67*h**3 + 6*h**2 + 7*h - 8. What is k(1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 224 + -50. Suppose -3*n + 72 = -l. Suppose 0 = -4*u + n + 34. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.041211 minus 40085.92?\nAnswer: -40085.961211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s**(-4\/3)\/s)))\/s)**(1\/66) assuming s is positive.\nAnswer: s**(-7\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + f + 368, 2*f - 184 = -2*p - 0*f. Which is smaller: 87 or p?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 327, 498, 705, 954, 1251?\nAnswer: 1602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85903 is divided by 182.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580 is divided by 198?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205 divided by -1.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2400 and 10800?\nAnswer: 21600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 939971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 2, 818584311 in descending order.\nAnswer: 818584311, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 0 - 1)*(3*y**4 - 3*y**4 - 2*y**4) - y**4 - y**4 + 0*y**4.\nAnswer: 16*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 2)\/((-18)\/(-4) - 3). Let m(z) = z**3 - 8*z**2 + 6*z + 3. Let u be m(7). Let o = 20 - 17. Which is the closest to -2\/7? (a) u (b) o (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.29 times -221?\nAnswer: 948.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ass.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 (base 6) in base 10?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 61.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12428 and 1767883.\nAnswer: 3107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 206950410 divided by -541755\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34.074 + 33.5. Let x = -0.041 + 0.092. Let n = h - x. What is n rounded to two decimal places?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 17976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 203197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59644?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, 8, 370, -2, 4 in descending order.\nAnswer: 370, 124, 8, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 4, 21723, 0, 5 in ascending order.\nAnswer: -4, -3, 0, 4, 5, 21723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569 + -1552 + (2 - (-28 - -3))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971416?\nAnswer: 2, 31, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2233 or -2232?\nAnswer: -2233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 19*j - 18*j. Calculate the greatest common divisor of 84 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3188891.\nAnswer: 59, 54049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a meter in millimeters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3\/4 - 385437*g**2\/2 - 770878*g = 0. What is g?\nAnswer: -4, 0, 770878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352 + 646 + 706 = -71*h for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 + 2*i - 1. Let v(z) = -z**3 + z**2 - 1. Let m be v(-2). Let y(g) = 7*g**2 + 4*g - 2. What is m*j(o) - 6*y(o)?\nAnswer: 2*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 3*v + 5*u, 2*u + 50 + 15 = v. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**2 + 13*b + 12. Let c be k(-1). Let d(u) = 2*u**2 + 7*u + 46. Let z be d(c). Sort -2, 5, z in decreasing order.\nAnswer: z, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 855 divided by 95\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 5*d**2\/2 + 101*d + 87. Calculate k(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 24*k**2 + 10*k - 60. What are the prime factors of m(26)?\nAnswer: 2, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + s = -2, 3*m + 4*s + 687 = 630. Let o(l) = 3*l**2 - 7*l - 1. Let x(r) = -2*r**2 + 7*r. Let h(c) = 3*o(c) + 4*x(c). What is h(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -363 + 619. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(456) - ((sqrt(456) + (sqrt(456) - -5*sqrt(456)) + sqrt(456) - sqrt(456)) + sqrt(456))) + sqrt(456))\/sqrt(8))\/(-4*sqrt(363) - sqrt(363)).\nAnswer: 6*sqrt(19)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5\/6*r**2 - 75\/2*r + 110\/3 = 0 for r.\nAnswer: 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145400 and 400.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -2. Suppose m = 2*p + 2*p. Let z be p\/(-10) + 12\/20. Which is greater: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**5\/5 - 4*v - 2. Differentiate l(n) with respect to n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6293653?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/5, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 7 (c) -5 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19.6 - -20. Let y = n + -1.4. Let f(u) = 2*u**2 - 10*u + 5. Let c be f(4). Sort c, -32, y in decreasing order.\nAnswer: y, c, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 98. Let f = -117\/2 + n. Factor f*x**2 + 1\/2*x**4 + 3\/2*x**3 - 1 - 3\/2*x.\nAnswer: (x - 1)*(x + 1)**2*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24703920463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61870 and 33840.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 56.73674l?\nAnswer: 56736.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 0*p + 5*v + 126, 50 = -p + 4*v. Let u = -40 - p. Calculate the remainder when (-33)\/(-2 + 2 - 1) is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*v + v + x, 4*v + 4*x + 48 = 0. What is the common denominator of 38\/15 and 2\/v*348\/(-480)*6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/310 and 91\/430?\nAnswer: 13330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooccoooooc. What is prob of picking 2 c and 1 o?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 15. Let w(l) be the first derivative of l**4\/4 - 2*l**3 - 11*l**2\/2 + 7*l - 1. Is w(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 29 = -4*y, -5*y + 5*g + 28 = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**4\/7 - 555*o**3\/7 + 13794*o**2\/7 - 20968*o\/7 - 101568\/7 = 0?\nAnswer: -2, 4, 24, 529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + y - 4. Let j be v(2). Let x(k) = -j + 3*k + 2 - 2*k. Let u = -41 + 37. Determine x(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 476\/840 - (-3)\/36*-2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -404*d**2 - 2200 + 225*d**2 + 187*d**2 as x*d + w*d**2 + i and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 + -232. Let v = -99 - d. Let o = v - 77.2. Round o to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**9\/3024 + h**6\/360 + h**3\/3 - 7. Let o(n) be the third derivative of v(n). What is the third derivative of o(w) wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5262451 or -0.49?\nAnswer: -5262451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66169.\nAnswer: 66169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 11*w - 30. List the prime factors of x(-14).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10541 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x\/x**(-1\/5)*x)\/x))**27)**(1\/2)\/((x**(-3\/2)*x\/((x\/(x*x*x*x**1))\/x)*x)\/(x**(-4\/9)\/x*x*x**8*x)) assuming x is positive.\nAnswer: x**(-1093\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 130063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179389?\nAnswer: 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from {w: 1, b: 8, h: 2, k: 2, z: 2}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-8 + 5) - (-11)\/(110\/180)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqtlt. Give prob of sequence lltt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bebbbebbbb. Give prob of sequence bee.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134 + 134. Put z, -2\/7, 2 in ascending order.\nAnswer: -2\/7, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 2\/21, 10.\nAnswer: -22, 2\/21, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**3 - h**2 + 4*h - 18. What is z(-3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {t: 1, j: 6, h: 4, l: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnh when three letters picked without replacement from {n: 10, h: 4}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*r, -3*r - 2 = -j - 0. Let q(k) = 6*k - 10. Let o(g) = 2*g - 3. Determine j*o(a) + 3*q(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000099 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127.8 + -128. Which is the third smallest value? (a) -2\/15 (b) 2 (c) 5\/3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 0*i**2 + i**2)*(4 + 0 - 3) + 16*i - 4936 + 9768 - i - 181*i**2 - 4834.\nAnswer: -179*i**2 + 15*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000099866 rounded to 7 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 8903.97 to the nearest one hundred.\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-574*a + 186*a - 833*a)*(2 - 5 + 2) + a + 0*a + a.\nAnswer: 1223*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**4\/6 - 63*y**2. Let g(j) = -4*j**2 + 2*j**2 - 1 + 1. Give d(g(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = 16*n - 18. Let y(j) = j**3 + 3*j**2 - 11*j - 5. Let w(g) = -g**3 - 4*g**2 + 10*g + 5. Let s(t) = -6*w(t) - 5*y(t). Does 17 divide s(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -842 times 0.3?\nAnswer: -252.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 3*f**2 - 3*f + 8. Let a be t(0). Suppose 17*h - 1539 = a*h. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-3) - (-135 + (0 - -4)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 0 + 2\/3*t**3 + 5\/12*t**4 + 2*t + 1\/20*t**5 + 3*t**2. Calculate the least common multiple of w(-4) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/50*1075\/1720?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 232\/3 (b) -52 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 131, -5, 5, -6, 0, 598 in increasing order.\nAnswer: -6, -5, 0, 5, 131, 598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14233413 (base 5) in base 10?\nAnswer: 149233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 66*n = -0*j + 386 - 54, 3*j = n - 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/11, 2\/5, -3\/17?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a micrometer in nanometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-24)\/((u*u**(-27))\/u)*(u*u\/(u*u**(-3\/11)))**(2\/9) assuming u is positive.\nAnswer: u**(325\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 5100, 2\/3, 12, 1.28, 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000250479 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 3. Let w = 445 - 422. Suppose -43*r = -w*r - 200. Solve 3*p = r + z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 57*y**2 - 5*y. Let u(q) = -2366*q**2 + 208*q. Calculate -208*k(b) - 5*u(b).\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5514.922 + -5515. Sort 0.1, 5, j in descending order.\nAnswer: 5, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88920000 to the nearest 1000000.\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*u + 16*u - 10*u)*(-232*u - 24*u - 19*u) as b + g*u**2 + j*u and give g.\nAnswer: -4675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9377195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*t)*(2*t + 2 + 0 + 0*t) + t**2 - 2*t**2 + 2*t**2.\nAnswer: -5*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 + 0*d**3 - 3*d**3 + (-d**2 + d**2 - d**2)*(-2*d + 4*d + 0*d) - 59*d**3 - 89*d**3 + 2*d**3 - 3*d**2 + 2.\nAnswer: -149*d**3 - 3*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 67, 158, 233, 262?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*c**3 + 69*c**3 + 64*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2 = -q, -2*q + 22*o - 10 = 23*o for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78683 + -83242.1. Let p = 4779 + y. What is p rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5 + 4 + 5*z**2 + 3. Let g(v) = 4*v**2 + 1. Let w(j) = -6*g(j) + 5*x(j). Differentiate w(h) with respect to h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19227 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51\/(((-2)\/4)\/(4\/(-8))).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**5\/20 + 5*u**4\/12 + u**3\/6 + u. Let k be (0\/3 - 10) + -2. Let w = k - -7. What is m(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (60 - (7 + -20 + 14)) + (-5 - -4).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827595132.\nAnswer: 2, 3, 7, 13, 37, 20483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36052 - -51309. List the prime factors of s.\nAnswer: 11, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-133)\/35)\/((-128)\/20 + 2)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**3 + z + 1. Let n(b) = -3788*b**3 - b**2 + 3*b + 3. Give n(i) - 3*t(i).\nAnswer: -3800*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -26 from -2186.5531352096.\nAnswer: -2160.5531352096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 4:18 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3330)\/180*(-12)\/222*41\/(-1)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert b96a (base 12) to base 4.\nAnswer: 10332202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 5*j**4 - 1775*j**3 + 156705*j**2 + 448695*j - 53572590 = 0?\nAnswer: -18, 19, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 13. Let f(s) = s - 3. Suppose 7 + 13 = 4*d. Calculate the remainder when c(9) is divided by f(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-4)*(-40)\/12. What is the remainder when (-2 - -1)*(x - 46) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 6*n - 25, 4*k + 13 = 5*n. Suppose -2*j - 54 = -5*d, 4*d = k*j + 2*j + 50. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6277716 times -0.02?\nAnswer: 125554.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 4 - (-2)\/((-6)\/9). Let q(b) be the second derivative of 0*b**2 + b + 0 + 1\/6*b**4 + d*b**3. Factor q(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3405a5 - 1?\nAnswer: 3405a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218274?\nAnswer: 2, 3, 7, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, 3, 6, 0, 14, -3 in decreasing order.\nAnswer: 14, 6, 3, 0, -3, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n - 2\/7*n**2 - 2\/7*n**4 + 4\/7*n**3 + 0.\nAnswer: -2*n**2*(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 8:35 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(7)) - (sqrt(7) - (-2 + sqrt(7) + 2)) - 4*(sqrt(7) + sqrt(7)*3 + sqrt(7))*1)**2 + 1.\nAnswer: 3389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 55461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i**3 - 2*i**2 - 2*i + 3. Let r(k) = k**3 + k**2 - k. What is -h(z) - 2*r(z)?\nAnswer: 2*z**3 + 4*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102954, -102952, -102950?\nAnswer: -102948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5383817597\/1220 + -4412966. Let n = -2\/305 - k. Sort -0.2, n, 0.2, 0.09.\nAnswer: -0.2, 0.09, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**7*((x*x**6\/x)\/x)\/x*x*x)\/(x**(-1\/4)*x*x**(5\/3)\/x*x))**(-2\/25) assuming x is positive.\nAnswer: x**(29\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -16*u - 6. Let f be 2*u - (3 - (3 - 8)). Sort f, 1\/8, -1 in increasing order.\nAnswer: f, -1, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 65377559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 8*d + 29. Let h be y(-6). Suppose u - 2*u + h = l, -4*u = 2*l - 40. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 43. Let h(m) = 539*m + m**u - 539*m. Let o(a) = 38*a. Calculate h(o(v)).\nAnswer: 1444*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 30, -18, 8, -0.03, -0.3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5886389 is divided by 230?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**4\/4 + 8*p**3\/3 - 7*p**2\/2 + 6*p - 2. Let w be v(7). Solve 1 = -5*b + w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1064)\/32)\/(-7))\/((-2)\/16) + 9.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-90)\/(-4))\/(7\/(-14)). Let o be (137 - (1 - -2))\/2. Let y = h + o. Calculate the highest common factor of 198 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.0800493 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 1\/2*z**2 - 11\/10*z**5 + 0 + 6*z - 1\/6*z**4 - 1\/6*z**3. Is 5 a factor of m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/2225 and -117\/400.\nAnswer: 35600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4 + -724)\/5)\/((-15)\/(390\/(-52))).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 - -0.69. Let b = -0.3 - k. Let c be 2\/4 + 2\/(-2). Put -5, b, c in ascending order.\nAnswer: -5, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/11)\/(g*g*((((g\/g**(7\/2))\/g*g)\/g)\/g*g)\/g*g*g*g))\/(g**(-17)*g\/g**(10\/13)*g) assuming g is positive.\nAnswer: g**(4445\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*t**3 + 5*t**3 - t**3.\nAnswer: 59*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 - 6*v + 25. Let h be j(-8). Which is the third smallest value? (a) h (b) 2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10177 and -1?\nAnswer: 10177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 12*h + 3*h - 4*h.\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -6103, -1496, 3, -5, 0 in ascending order.\nAnswer: -6103, -1496, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -41334542 (base 6) in base 4?\nAnswer: -10203222332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3900398*h - 12927 = -3900537*h for h.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/12 + (-5)\/4. Let m = -2.8 - -5.8. Which is the third smallest value? (a) m (b) 0.9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8*y**3 - 60*y**2 + 7. Let i(w) = -7*w**3 - 59*w**2 + 6. Determine -6*h(x) + 7*i(x).\nAnswer: -x**3 - 53*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 16. Let t be 24 + 0\/(3 - j). What is the highest common divisor of t and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -12*q + 6 + 5\/2*q**2. Find the first derivative of n(f) wrt f.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 0*q**2 + 0*q**2 + (0*q**2 + 5*q**2 - 3*q**2)*(2 - 1 - 3) + 0*q - q**2 + 0*q - q**2 + 5*q - 5*q - 2*q**2 + 3*q**2 + q**2)*(3 + 2*q - 3).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2778126840?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 1)*11241\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29 + 28)*3\/105*-5\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -189368180 or -189368182?\nAnswer: -189368182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**3\/x)\/x)\/((x\/(x\/x**(-4)))\/x*x))\/(x**(-6)\/(x\/(x*x**(-8\/7))*x*x)) assuming x is positive.\nAnswer: x**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*a - 2. Let x = -5 - a. Let q(s) = -3*s. Determine q(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + -1)*(-754)\/52. Let o be (0 + 2)*(g\/(-14) - 4). Let q = -0.1 - -0.1. Which is the closest to q? (a) 27 (b) o (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104\/(-50) - -2 - 15\/(33000\/(-33176))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -165, -247, -329, -411, -493?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.14 + -0.74. Let t be (-5)\/((-20)\/(-24))*(-2)\/(-3). Which is the closest to 1\/3? (a) s (b) -0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -15*p**2 - 5*p - 5. Let j(o) = 7*o**2 + 2*o + 2. Let n(b) = -5*j(b) - 2*l(b). Let t(q) = -85*q + 48*q + 38*q. Calculate n(t(x)).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10234127, 20468257, 30702387, 40936517, 51170647?\n\"Answer: 10234130*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -281 (b) -5 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -41 + 284 + 3*t + 0*t - 16*t. Let j be v(18). Solve -45 + 0 = -j*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((292859\/(-665))\/(-17) - (-48)\/(-456))\/(105\/25)\nAnswer: 43\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 6:13 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -38155126821620 and -0.1.\nAnswer: -38155126821620.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42264 - 42263.20108. Let d = r - 0.8. Round d to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 545013001 (base 6) to base 8\nAnswer: 45150731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*q = -53*q + b - 21, -95 = -5*q - 3*b. Solve 7*y = -q*y - 115 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/529095?\nAnswer: 2\/529095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11964 and 41823153?\nAnswer: 167292612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285\/(-35) - -8 - 1644\/(-42) is divided by (-3)\/((5 - 2)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*z = 7 - 15, -5*x + 4*z = 16. Suppose -10*t + 5*t + 10 = x. Solve 0 = -2*y - t*w + 4, 5*y - w - 3*w = 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 6 - -5) + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27 + 27 + 3*k)*(3 - 1 - k**3 + 0) to x*k**4 + d + u*k**2 + y*k**3 + z*k and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5697125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.062 + 29.062. Let m = x + -25.5. Let p = 0.5 - m. Which is the closest to -0.1? (a) 2\/7 (b) p (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13198304 + 13198229.00063. Let o = 75 + r. Round o to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppjppppppjj. Give prob of picking 1 j and 3 p.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a century in years?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9\/2 + 19\/4. Which is bigger: u or 0.03?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 10*v**2 + 10*v + 13. Let w be s(-9). Let a(p) = 3*p**2 - 9. Does 5 divide a(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28662 - 0.1?\nAnswer: 28661.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1009*p + 205822. Give i(204).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/21 + -5\/21. Let q = 0.19 - -0.71. Let u = q + 3.1. Are u and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, r: 3, v: 5}. Give prob of picking 1 r and 1 w.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 + -0.02. Let p = f - -3. What is the nearest to -1 in 2, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - u)*(3 + 0 - 2)*(-1 + 0 - 1)*(3 + 5 + 4)*(-4 + 2 - 4) - u - u + u.\nAnswer: -145*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 880 is divided by 82?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000204736 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + 7. Is n > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 1 + 2. Let c be -45*((-5 - (q + -4)) + -1). Let h be (-1)\/(2 - (-4)\/(-4))*c. What is h rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, m: 1, x: 4, l: 3, e: 2, n: 8}. What is prob of sequence me?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 136*g**5*v - 14*g**4*v**2 - 2*g**2*v + 9*g*v**2 + 2*g wrt g.\nAnswer: 8160*g**2*v - 336*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0332297 + 0.028446. What is r rounded to 5 decimal places?\nAnswer: -0.00478","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 64 = -39, 3*s = 3*j + 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*x - 800321*x**3 + 3*x + 800279*x**3 to the form i*x + c + v*x**3 + p*x**2 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4 - -399)*41\/(-13325)*-75)\/5.\nAnswer: 93\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9653 is divided by 322?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9678\/7 - -1386. Suppose -3*h = 5*x - 4*x - 271, 5*x = 5. Find the common denominator of (-6)\/(-17)*h\/27 and j.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.081549 bigger than 0.33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1. Let n(d) = -4*d**2 + 5*d. Let f(x) = 5*x**2 - 6*x. Let h(z) = -5*f(z) - 6*n(z). Let y(s) = -5*s**2 - 1 + 2*s**2 + 2 - 2*s. Give o*y(u) - 2*h(u).\nAnswer: -u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3*o)*(1 + 3 + 0).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11, 1, -1 in ascending order.\nAnswer: -2, -1, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 253284?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3874660 and 4530.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2)*l\/(l\/((l**(2\/19)*l)\/l*l)*l))\/(((l**(-12)*l)\/l)\/l**(3\/7)) assuming l is positive.\nAnswer: l**(3201\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1371798*v**5 - 90*v**2 + 150*v + 4 wrt v?\nAnswer: 82307880*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 3, -g + 5*g = 4*p - 32 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-35)*3\/1*2\/(-12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 4:12 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5.70622t?\nAnswer: 5706220000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g - 27. Let f(j) = -1712*j**2. Calculate d(f(s)).\nAnswer: -10272*s**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 2\/5, 10, 0.1, -0.043633 in increasing order.\nAnswer: -1\/7, -0.043633, 0.1, 2\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 0.1693803?\nAnswer: -4.1693803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -9*m + 9*m**4 + 8*m**2 + 27*m**2 + 21*m**3 - 56*m**2 = 0?\nAnswer: -3, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 2:57 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 4, 0.7, 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h - 1. Let m(z) = 4*z. What is 4*m(a) - 3*v(a)?\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 322589403 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1, -4, -2 in ascending order.\nAnswer: -4, -2, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 107589539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 270207391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/2873 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -976 - 971 + 1943 + 25*f + (-6 + 1 + 4)*(0*f + 2*f - 4*f)*(-4 - 2 + 0) as n + y*f and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*t**4 + 4*t**3 + 118*t**2 + 79*t + 90 wrt t.\nAnswer: 240*t**2 + 24*t + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 519.001204 + -519. Round f to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + f - 7*f)*(2 + 0 + 0)*(0 + 2 - 10).\nAnswer: 32*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g. Let w be n(-6). Let d be 1\/(-5) - (-363)\/15. Calculate the highest common divisor of w and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190664*v - 494 = 190651*v for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009090541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.125 - 42. Let m = 0.375 + n. What is the fourth smallest value in 0.4, -2\/17, 0.17, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**6\/120 + 4*s**5\/15 - 17*s**4\/8 + 6*s**3 + 387*s**2. Find j, given that d(j) = 0.\nAnswer: 1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -12 + 23 - 7 + 17*a**2 - 19*a**2. Let b(c) = 3*c**2 - 5. What is 3*b(d) + 4*m(d)?\nAnswer: d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = o - m - 7, -5*o + 7 = 3*m. Suppose -242 = -4*a + o*n, -5*a + 2*n + 305 = -3*n. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -166 + -415?\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m + 2*m - 4*m + (-2*m - 3 + 3)*(4 - 2 - 3) + 0*m + 0*m + m + (24 - 16 + 23)*(-m - 2*m + 0*m) in the form y*m + v and give y.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92980, -92998, -93020, -93040, -93052, -93050, -93028, -92980?\nAnswer: -92900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 1 = -2*m, -2*m = -3*o + 115706913 - 115706908 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(720) + -1 + 4*-2*sqrt(720))*2 - (5*-4*sqrt(720)*2*6)**2.\nAnswer: -41472006 - 168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**4\/6 + 3*r**3 - 3*r**2\/2 + 4*r. Let j be a(6). Suppose 53 + j = d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/6*(-8)\/(-4). What is the nearest to 1 in g, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -320.45 - -320.15. Which is the fourth smallest value? (a) -0.432 (b) -0.4 (c) j (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 144 = -23*h, -3*h - 2283 + 2316 = -5*p for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 564113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2831289639758 + -0.4\nAnswer: -2831289639758.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 5:27 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x + 238 = -23*x. What is the smallest common multiple of x and 62?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**3)\/i)\/i*i*i)\/i)**24*i**(-2)\/i*i*((i\/(i**1\/i))\/i)\/i assuming i is positive.\nAnswer: i**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 24*n**3 - 4*n**2 + 20*n + 7. Let y(v) = 48*v**3 - 9*v**2 + 41*v + 15. Let w(l) = -7*s(l) + 3*y(l). What is the second derivative of w(i) wrt i?\nAnswer: -144*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -113 + 110. Let p(h) = 70*h + 66. Let q(u) = 23*u + 22. Let s(g) = f*p(g) + 8*q(g). Is 13 a factor of s(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 - 3*a**2 - 1 + 0*a**3 + 5 + 2*a**2 to the form c + k*a**2 + s*a + y*a**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 2*h + 40, 527*b + 4*h + 70 = 522*b + h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/1182 and -61\/27.\nAnswer: 10638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -7. Solve 3*y - n + 9 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -61\/2726271?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 6*r**2 + 8*r - 4. Let b(c) = -5*c**3 - 24*c**2 + 32*c - 16. Let y(a) = -2*b(a) + 9*h(a). List the prime factors of y(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -9. Find the second derivative of -15*r**u - 10*r + 4*r**3 + 33*r + 31*r wrt r.\nAnswer: -66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 7*m**2 - 17*m + 1. Suppose 9*c = -55 - 8. Is 5 a factor of p(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -236295181 by -4.\nAnswer: 236295181\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-2 - (-9 - -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2 = -2*j, -4*j + 18 = 3*t + 12. Suppose -j*i + 11 = 14. Put 0, -1\/16, i in descending order.\nAnswer: 0, -1\/16, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4*(56\/(-84) - (10\/12 + -1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuju when four letters picked without replacement from iuuouiijiuooi.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 1 = o, -2*o = -3*x + 8. Suppose -3*w + 27 = -x*w. What is the third derivative of 4*a**4 + 179 - w*a**2 - 179 - 11*a**4 wrt a?\nAnswer: -168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48642)\/5082 - (-1 + -8)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -127, 5, -2 in increasing order.\nAnswer: -127, -4, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 31*y - 33*y. Let o(j) = y - 4*j - 3 - 2 + 2*j**2 - 1. Let f(g) = -2*g**2 + 3*g + 3. Let x(n) = -4*f(n) - 3*o(n). Let d(z) = 4*z. Calculate d(x(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(672)\/sqrt(7))\/(sqrt(18)*-6) - ((sqrt(120)\/(2*sqrt(10)) + -2)*5)**2.\nAnswer: -175 + 898*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 713.0735mg?\nAnswer: 713073500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a + 1. What is n(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -195 - 6.5933\nAnswer: -201.5933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -142*b**2 - 12675*b - 1575210 wrt b.\nAnswer: -284*b - 12675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -78021268*g**2*p - 7*g**2 - g*h*p + g*h - 3312*g - 4025 wrt p.\nAnswer: -78021268*g**2 - g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + -2 + (sqrt(6)\/sqrt(2))**2 + sqrt(3) + -1*sqrt(3)*2.\nAnswer: -sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -m + 107, m - 73 - 29 = -3*x. Is 117 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = -x + 22. Suppose -2*r - x = -7*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(4\/16 + 19\/(-74))?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 17. Let k(i) = i - 35. Let p(l) = -2*k(l) - 5*s(l). Let r be p(-11). What is the greatest common divisor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {n: 1, i: 2, f: 1, u: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 167908801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 > 102003\/3368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -827*n**6\/6 - 437*n**2\/2 - 298. Find the second derivative of m(u) wrt u.\nAnswer: -16540*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) + (-70)\/15. Let z be j + 1 + (-63)\/(-7). What is the second derivative of -k**5 + 4*k**5 - 4*k**2 - z*k + 4*k**2 wrt k?\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/60 + 2888\/1805)\/(4\/10).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 2, w: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 520672140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -6 (c) 22 (d) -12\/17 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132300 - 10?\nAnswer: 132230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*y**2 + 37*y**2 - 16*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 3*q + 2. Let x be v(3). Let j be (-57)\/(-15) - x\/20*-2. Solve -j*c - 3*z + 6*z - 2 = 0, -5*z - 2 = -4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**3 - n**2 - 2*n + 3. Let j be r(0). Suppose -4 = -3*l + 5, -2*w - j*l = 43591. What is w rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, -0.3, 4, -130, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/21 + (-6)\/14.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f - 11. Let o be t(-10). Suppose -3*g + o*r = 15*r - 136, 2*g - 5*r = 100. Solve 2*q + 3*q = -4*v + 5, -5*q - g = -5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/9*(-6)\/(-4). What is the second derivative of 0*q**4 + 4*q**4 - q**z - q wrt q?\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 - 264 = -w. Suppose -13*b + 6*b + w = 0. What are the prime factors of b?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29299154 and 610.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 769231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 7:55 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 481, 3, 0.31, 1.17, 5 in ascending order.\nAnswer: 0.31, 1.17, 3, 5, 481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/2 of a year?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 + 0*w**4 - 3*w**4)*(4*w - 6*w + w + (-4*w + w + 5*w)*(3 + 1 - 5) - 4*w + 3*w + 0*w)*(1 + 1 + 2).\nAnswer: 32*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/3)\/(-2)*15\/13*-13\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 13\/2*z**2 - 4 - 7\/2*z**3 - 6*z. Let a(b) = 5*b - 3. Give 9*a(d) + 2*l(d).\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1395732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 240720493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2283569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18.94 and 77700.\nAnswer: 1471638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-3 - (11 - 3)) + 19.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2640 and 2552?\nAnswer: 76560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 - 2*w**4 + 0*w**4 + (22*w - 24*w + 15*w)*(0*w**3 + 0*w**3 - 2*w**3)*(-4 + 2 + 0).\nAnswer: 50*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -10*p + 78. Give b(19).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 96\/(-816) + 5795\/(-17). Let d = 376 + u. What is the lowest common multiple of 21 and d?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/((-56)\/(-462))*(-568)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -379, -1320, -3147, -6154, -10635, -16884, -25195?\nAnswer: -35862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**5 - r**2 + r**2 + (-3 + 2 + 0)*(-r**5 + r**5 - 2*r**5) + (3*r**2 + 0*r + 0*r)*(-r**3 + 6*r**3 - r**3).\nAnswer: 17*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 0 - 3 + 2 - 73*t. Let x be u(-1). What is the highest common divisor of 48 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.128 * 1\nAnswer: 0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 295*p**2 + 2143*p + 12. What is j(7)?\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -452 + 3?\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12775 by -2555.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4498091529 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, h: 11}. Give prob of picking 2 h.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16647 and 147675?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qffnffqqqffn. Give prob of sequence fq.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 615 = r. Let g be -139 - (4\/4 - 1). Let s = r + g. Calculate the highest common divisor of s and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 11*g - 96. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 19. Let m(c) = -c**3 + 10*c**2 - 2*c + 14. Let u be m(10). What is v(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59654611?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 1566024101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 104*o - 48. Let s be l(2). Calculate the greatest common divisor of s and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -553487 divided by -8261\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019207499 rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21350105?\nAnswer: 5, 7, 743, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14, -5, 10, 31, 58, 91, 130?\n\"Answer: 3*c**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16201 divided by 10886?\nAnswer: -16201\/10886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.48 - -276.5.\nAnswer: 279.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 184 and 568928.\nAnswer: 568928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*s + 689*s + 6589 = 1108 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17471 is divided by 2909.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0943 less than 92660?\nAnswer: 92659.9057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2505 rounded to one decimal place?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52012 + 451?\nAnswer: -51121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.7 + 3.7. Let t = u + 7.08. Let x = 0.08 - t. Are 12 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -61, -92, -123, -154?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -4 (c) -7 (d) -2\/13 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -34921\nAnswer: 34921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*c - 16*c - 163*c = -393*c - 20115 for c.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/(-7*(-1)\/126).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 69292 + 2932 = 0. Let d = -325105\/18 + u. Find the common denominator of 3 + 23 - 6\/8 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.038 and 14031.3.\nAnswer: 533.1894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/10 - 2\/(-10). Suppose -4*f - 4*m = 0, -f - 5*m - 1 - 7 = p. What is the smallest common multiple of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + j - 7, 341*h - 3*j = 345*h + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 329, 736, 1305, 2036?\nAnswer: 2929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 2*a - 5. Let p = a - -5. Solve -2*x + 0 = p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2505)\/8350*(45\/2)\/(-3)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h**3 - 4*h**2 - 2*h - 1. Let b(p) = 4*p**3 - 3*p**2 - 2*p - 1. Let o(x) = -4*b(x) + 3*v(x). Suppose -5*d + 1 - 6 = 0. Calculate o(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 19. Let h = -8 - -8. Is j(h) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1205794\/5571 + -1948\/9. Let u = r - -631\/3714. Factor 1\/6 + u*k**3 - 1\/6*k - 1\/6*k**2.\nAnswer: (k - 1)**2*(k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m - 8*m - 2 + 8*m. Let l(f) = f. Determine -6*l(d) - s(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*l**2 - 26*l**2 - 28*l**2 + 93*l**2.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - o = 0. Suppose 15*v - 4*v - 22 = o. Solve -z + v*h = 0, -3*z - 2*h + 14 = -h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10711374 divided by -8971?\nAnswer: -1194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16898750 divided by -5\nAnswer: -3379750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/9))**(-17) assuming f is positive.\nAnswer: f**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -43, -90, -151?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45469535869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 6:09 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -66*h*q**3 + 3*h*q + 5242*h - 2*q - 1 wrt q.\nAnswer: -198*h*q**2 + 3*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4 - 3362*b**3 + 19996*b**2 + 174440*b - 402000 = 0 for b.\nAnswer: -6, 2, 10, 1675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 0, -22, -60, -114, -184, -270, -372?\n\"Answer: -8*w**2 + 2*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 65\/10*1378\/169. Solve 0 = -14*r + v - 67 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -206623.1?\nAnswer: -20662.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/4 - (-4)\/2. Let b = 1 - a. Let j = 1 - b. What is the remainder when 5 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/7)\/(12\/56*-12).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 + 113. Let q be (-6)\/4*4*2\/d. Which is the third biggest value? (a) q (b) -0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54921212.18 rounded to the nearest 100000?\nAnswer: -54900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23487017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 4:42 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.059690209 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*v - 5*q + 1, -q = v. Suppose v*o - 6 = 0, -4*l + 4*o + 83 = 9*o. Suppose -15 = s - l. Solve 5*x = 2*u - 6*u - 5, -3*u - s = 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5035 (base 7) in base 13?\nAnswer: a3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 121, -3094, -9647, -19538, -32767?\n\"Answer: -1669*g**2 + 1792*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -5. Let g = 249 - 249. Solve n*a + 0 - 4 = g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9477.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1\/4, 2, 7419.\nAnswer: -6, 1\/4, 2, 7419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21007?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24952, 24954, 24956, 24958, 24960, 24962?\nAnswer: 24964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 364.4 (b) -5 (c) 0.14 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 561249128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.061 (b) -0.5 (c) -1\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -1\/4, -1\/38, -0.8, 1\/109?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13632*n**5 + 462*n + 10 wrt n.\nAnswer: -272640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-10) + 1\/2. Suppose t - 2*t + 48 = p. Let o be (-4)\/14 + t\/21. Is o at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 27 = 3*u, 2*u - 18 = -11*q + 6*q. Solve u*a + 5*a - 28 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2)\/(g*g**(6\/13)))\/(g*g\/(g\/((g\/((g**(-1)*g)\/g)*g)\/g))*g*g\/(g**(-3\/7)*g)) assuming g is positive.\nAnswer: g**(-981\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2353775, -4707517, -7061259, -9415001, -11768743?\n\"Answer: -2353742*o - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (56 + -35 - 30\/2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 6872?\nAnswer: 6867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 8. Let c be o(4). Suppose 3*y - 7*y + 3*v = 34, -v - 26 = c*y. Let g = y + 4. Put 1, -4, g in descending order.\nAnswer: 1, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(1*sqrt(63)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*q = -140*q - 151*q - 55 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21659937 or 21659931?\nAnswer: 21659931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -663*f + 668*f + 2*v - 38 = 0, -v + 4 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -497*d + 132. Is o(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 15*c**2 + 40*c + 101. Let t be n(-17). Let l be -2 - t\/((-30)\/144). What is the third smallest value in l, -0.3, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-259)*(-50468)\/372\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 + 2*v - 2. Let r(m) = 8*m**2 + 9*m - 9. Let j(n) = 18*k(n) - 4*r(n). Let f(h) = 2*h**2. Calculate f(j(x)).\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*v**5 + 13*v**5 + 109*v**2 - 39*v**5 + (2 + 3 - 3)*(0*v**5 + 0*v**5 + v**5).\nAnswer: 4*v**5 + 109*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 643.632 + 866.\nAnswer: 1509.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474899 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48874 at least as big as 48875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488 a factor of 20699084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*2\/(-8) - 70\/20. Let w(u) = 2*u**3 - 3*u. Let r(g) = -g**3 + 2*g. Calculate q*w(f) - 3*r(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 6. Let r be w(-5). Let l = -60\/19 - -183\/76. What is the closest to 0 in r, l, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 14. Let j be 7*(12\/l)\/(4\/6). Suppose -2*c = -2*k - 4, -k = 2*c - 4*c + j. Solve -4*q = -k*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195483611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -134012 - -4823\nAnswer: -129189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0*((-7)\/2 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - ((-7459)\/6 - 3\/(-18)). Suppose -7*f + 11291 = c. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*g + 138*g + 276 = 0. Calculate the common denominator of 97\/4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/24 and (-5346)\/(-3240)*(-15)\/(-81).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 2*r - 24, 32*d = 35*d + 3*r - 15 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -11*g**3 + 30*g**2 - 21*g + 52. Let q(t) = 41*t**3 - 112*t**2 + 83*t - 209. What is 15*a(h) + 4*q(h)?\nAnswer: -h**3 + 2*h**2 + 17*h - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1113639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -8*m - 7. Let q(f) = 16*f + 5. What is the hundreds digit of q(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1474?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66768 is divided by 99.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1370*0.1\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 10*l**3 - 2*l. Let b(r) = r**3 - r**2 + r - 1. Let v(k) = b(k) + i(k). Let d be v(-1). Let u be -1 + -4*(-2)\/d. Which is smaller: u or 2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548251 a multiple of 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 - 760 - 115 = 130*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 361, -75, -749, -1661, -2811, -4199?\n\"Answer: -119*f**2 - 79*f + 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.05 - -41.95. Let y = d - 42.7. Let h = 0 - -0.3. Which is the closest to h? (a) y (b) 4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6208*p**3 - 2295*p**3 - 1633*p**3 - 2292*p**3.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1903.\nAnswer: 5\/1903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0873063mg to grams.\nAnswer: 0.0000873063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 0 + (-19 - -14 - 21) + 27 - 50?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*t + 115*t + t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20584?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5\/2, 16, 11, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1020 + 843. Let p = -560 + 257. Let o = u - p. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 71*r + 14 = 35*r + 37*r, 22*l + 71 = -5*r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (55 - 4) + (-4 - -3). Let p = g - 32. What is the units digit of 3 + 9\/(p\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.4. Which is the third smallest value? (a) 6\/7 (b) 4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*b - 311*b - 4*a - 2 = 0, -2*b = 5*a + 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -4, -40, -112, -232, -412, -664, -1000?\nAnswer: -1432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 6. Let i be 1 + -8 - (p + 1). Calculate the remainder when 9 is divided by (10\/4)\/((-3)\/i).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 45*c**2 + 1698*c - 151. List the prime factors of d(-55).\nAnswer: 2, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -342? (a) 10 (b) -1 (c) -292\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/215692 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -8 and -2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*g**2 + 3 + 7 + 35*g + 21*g**2 - 26*g**4 - 36*g - 11*g**2 in the form u*g**4 + x + i*g + p*g**3 + r*g**2 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10148558397 and -0.49?\nAnswer: 10148558396.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d**2 - 2*d - 2. Let k be a(3). Let p = k - -9. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -u - 7*u. Let y be u\/22 + (-720)\/(-33). Suppose 2*m = 2*z + 20, 0 = -m - 2*m - 5*z + y. Which is greater: m or 17\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3448 + 0.0552946989\nAnswer: -3447.9447053011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*q**5\/13 + 14462*q**4\/13 + 92030*q**3\/13 + 173418*q**2\/13 + 77904*q\/13 + 10152\/13 = 0 for q.\nAnswer: -141, -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7\/16, 1, -3\/8, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + (sqrt(20)\/sqrt(4) - sqrt(5))**2 + -4 + -5*sqrt(125)*-1).\nAnswer: -42 + 150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-115 + 2 - 3\/(-1))\/((-3)\/18) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3073 in 4\/9, -3, -0.05, 2\/13?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4113340 (base 6) to base 4.\nAnswer: -233331330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23982153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -64 (c) 1\/3 (d) 0.864 (e) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/5917669 or 0?\nAnswer: 1\/5917669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x + 3*o = 17, 34 = 5*x - o. Let c(i) = -i - x*i - 2 + 13*i + 0. Calculate the common denominator of c(4) and 1\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.5 + -28.3. What is the closest to i in -0.3, -2\/7, -22?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/320720 and 75\/4?\nAnswer: 320720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 - 2*x**3 - 2*x**4 + 9*x**4)*(1 + 9 - 9).\nAnswer: 7*x**4 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003090352 rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, -2\/17, 2\/7, 17\/5 in increasing order.\nAnswer: -0.4, -2\/17, 2\/7, 3, 17\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 12*a + 8. Let h be n(0). Let b = h + -6. Solve x = -b*k - 3, -2*x = -k - 4*x + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(4\/7)))\/(b\/(b**11\/b)))\/(b*b\/b**(-2\/13)*b\/b**(-8)) assuming b is positive.\nAnswer: b**(-144\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108620 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61686 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1600044 - -0.16. Round g to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/158441 and 50\/9.\nAnswer: 1425969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/76734042 and -22\/861.\nAnswer: 76734042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((26\/(-816))\/13). Let q = -128 + u. Suppose -2*w = -6*w + 140. Calculate the highest common divisor of w and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.8423907 to 2 decimal places.\nAnswer: -2.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 89*c - 94*c + 35. Solve c*l - 8 = -5*f + 9*l, -3*l = 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7)\/((-295)\/42*846\/(-1410))?\nAnswer: 4\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.3, 3, -0.034, -5?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 22\/(-6)*-3. Calculate the common denominator of 109\/12 and (1\/3)\/(i\/26).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-9 + (6 + 0 - 4) + 6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -9 (b) -1\/3 (c) -0.5 (d) -5 (e) 2 (f) -2\/3 (g) -100.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-650))\/((5\/(-5))\/(-5))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 27*c + 138. Calculate v(-19).\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdhhddhodd. Give prob of sequence hoh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 33 + 8*k**2 - 24*k**2 + 8*k**2 + 10*k**2 - k. Let f be j(-6). Is 332\/3 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1809049828 to the nearest integer?\nAnswer: 42533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/8 - 7047\/(-72). Let p(u) be the first derivative of 3*u**2 - 4*u + 2. Let l be p(3). What is the greatest common factor of l and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/25 (b) 4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1555338?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)\/(h\/(h*h**0*h)*h)*h**(-1\/2)*h\/((h**(4\/3)*h)\/h*h))**(-4\/5) assuming h is positive.\nAnswer: h**(118\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n**2 - 19*n - 41. Let v(b) be the second derivative of b**4\/12 + b**3\/6 + 5*b**2\/2 + 231*b. Let w(m) = f(m) + 5*v(m). Calculate w(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/36 and -71\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (8\/(-4) - -1). Suppose -4 = -g - 3. Suppose -p - 12 = -8. Put y, p, g in increasing order.\nAnswer: p, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (924*n - 651*n - 556*n)*(61*n - 61*n + 1 + 9*n**4).\nAnswer: -2547*n**5 - 283*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, y: 2, r: 1, m: 1, v: 1, c: 1}. What is prob of sequence yv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10075*f**5 + 2*f**2*k**2 + 3*f**2 - 3*f*k**2 + 4*f*k + 72*f - 75*k**2 wrt f.\nAnswer: 201500*f**3 + 4*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 568 divide 16650352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12783 - 9341056 - 191326 = -61*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**7\/120 + f**6\/360 - f**5\/60 + f**4\/24 + 7*f**3\/6 + 7*f**2. Let d(x) be the first derivative of b(x). Calculate d(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -47b?\nAnswer: -479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-84)\/(-10))\/(-6)*4\/4. Which is bigger: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/414937?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 829 + 650 = -5*g + 22*g. What is the smallest value in g, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182549*p - 12226*p - 665601*p.\nAnswer: -860376*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 - 5*j + 1. Suppose c = 3*c - 10, -20 = -5*o - c. Suppose -o*p = -7*p + 16. Is 13 a factor of s(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1475)\/(-55) + -3 + 8\/44. Suppose 133303 - 10423 = j*g. What is g rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/5 + (-6)\/(-15). Solve -4 = -t*k - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + sqrt(11) + 5.\nAnswer: sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -635, -1272, -1909, -2546, -3183?\nAnswer: -3820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43508 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -0.5. Let l = 29\/10 + -12\/5. What is the closest to l in -0.1, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 14. Suppose l*f - 78 = 2*p + 176, -2*p - 193 = -3*f. What are the prime factors of f?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 539406 and 7859916.\nAnswer: 55019412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvfvv. Give prob of picking 2 v and 1 f.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + -22. Let y = b + 76. What is the closest to y in -1, 2\/17, -5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3 - 560*a**2 - 561*a = 0. Calculate a.\nAnswer: -1, 0, 561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**3\/2 - 125*r**2\/2 + 2013*r - 3780 = 0?\nAnswer: 2, 60, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + (-14991601836)\/(-372) - (-8)\/124. What is c rounded to the nearest 1000000?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((84\/(-105))\/(24\/(-15)))\/(117\/(-12))\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4 - -6*(-3855)\/(-5160) and -49\/128.\nAnswer: 5504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1080\/81*(-90)\/(-40). Solve 0 = -2*y - 5*z - 25, -4*z - j = 2*y - 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -227, -436, -625, -794, -943, -1072, -1181?\nAnswer: -1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5680 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 7 (c) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*56\/256 - 2\/16. Suppose 0 = 3*m + 5*y - 1, -3*m - 2*m - 2*y = -27. Let s = m + -5. Which is greater: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 989791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -436312 bigger than -436313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 + 25 + 80)*(-k + 1 - 1) in the form z + u*k and give u.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-96)\/28)\/(-3))\/((-272)\/(-34))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 25 = 2*s - 11, -2*s - 4*w - 6 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-18 + 3)*-174. Suppose -3*l - 4*n = -b + 24, -4*n = -4. Suppose l*u - 11*u = -251. What are the prime factors of u?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86153\/3 or -28717?\nAnswer: -86153\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w + 6. Give o(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2203\/304 + 1\/304. Let r = 1583\/4 - 398. Find the common denominator of r and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -99*o - 804 - 372 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-504)\/100)\/(-7) + (-2)\/5. Let s = b - -77\/150. Suppose 6 = 4*o - 3*h + h, 1 = h. Are o and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*i + 86. Suppose -517*z - 523 = -3*q - 524*z, 3*q + 4*z = 520. What is the greatest common divisor of q and i?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1469748 divided by 367437.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 580 - 712 = 0. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -33, 20, 141, 354?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70613*b**4 + 128771*b.\nAnswer: -847356*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -11. Let i = -3 - n. Suppose -430*f = -440*f + 10. Which is the second smallest value? (a) i (b) -6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 - 12*c**2 + 2*c. Let a(o) = o**2 + o - 1. Let q(n) = 5*a(n) + t(n). Calculate the remainder when q(4) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 833 and 10999?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**4\/12 - 35*m**2\/2 - 26. Let c(d) be the second derivative of j(d). Let q(x) = -13*x. Determine c(q(w)).\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 11:00 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1539 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 650.4079 milligrams?\nAnswer: 0.0006504079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 8. Let n be b(-6). Let m = 6 + n. Let u be ((-14)\/(-4))\/((-4)\/(-8)). Solve 5 = m*h - u*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7ba (base 16) in base 11?\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 6 = -0. Let l(g) be the second derivative of -g**4\/8 - g**3\/3 - g**2\/2 - 2*g. Let r(s) be the first derivative of l(s). Calculate r(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + o + 8 + 2 + o + 7*o. Let r be k(-7). Sort -1, r, -5 in descending order.\nAnswer: -1, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100*(-82)\/(17056\/(-52)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.659 and -729?\nAnswer: -14331.411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + 2*((sqrt(13) - (1 + sqrt(468) - sqrt(468))) + -4) + 0)**2.\nAnswer: -20*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25662 and 169858?\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**2 + 7*v + 2. Let c be t(-2). Solve c*o + 3*b = 2*b - 13, -4*b - 1 = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 44*b + 93. Is o(33) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 118*s**2 + 3*s + 2. Let v be w(-1). Let g be (-528)\/(-2619) - 26\/v. Which is the second smallest value? (a) -0.2 (b) 2\/15 (c) -3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 36 = -3*f. Let z be 2 - (-1 + f) - (-84)\/36. Which is the second smallest value? (a) 4 (b) -1\/4 (c) -10 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + v + 0*v - 1)*(-2 - 2 + 5) + (3 - 3 + 2)*(2 - 2 + v) - v + 0*v + 2*v.\nAnswer: 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 9:05 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5585, 11163, 16771, 22421, 28125, 33895, 39743?\n\"Answer: 2*a**3 + 3*a**2 + 5555*a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 799192, 1598354, 2397516, 3196678?\nAnswer: 3995840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1039*j**3 - 50*j**3 + 10951*j**3 + 3088*j**3 + 2864*j**3.\nAnswer: 15814*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Suppose 2 = -g - v. Does 3 divide (10\/8)\/((-1)\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 7. Let f(i) = -i**3 + 3*i**2 + 5*i + 2. Let v be f(w). Suppose -x = x - v. Solve 0*b - 1 = d - x*b, 5*d + 18 = 2*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3.1*10\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 4*q - 15, 362*i = 363*i - 4*q + 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a micrometer in nanometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -185680 divided by 105?\nAnswer: -37136\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102646 or 104281?\nAnswer: 102646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809893 is divided by 810?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7)*98\/112 - (-3)\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-16) + (-38)\/(-8). Factor -2*f**3 + 0*f**z + f**5 + f**4 + 0*f**4.\nAnswer: f**3*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(7\/5)*c**(5\/2))**(-2\/73) assuming c is positive.\nAnswer: c**(-39\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + -10 + 11)\/((-1)\/(-1)). Let i be 0 - (2 - 18\/8). Is j >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72983772179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2. Let f(p) = -399*p + 118*p + 166*p + 167*p. Give d(f(g)).\nAnswer: 10816*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1*(-45)\/15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = p + 3*s, -2*s = 5*p - s + 5. Let y be (-60)\/(-48) - (-6)\/8. Solve m - 5 = -g - p*m, -5 = -3*g + y*m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111 - 111?\nAnswer: -100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -32463 divided by 317?\nAnswer: -32463\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -570 (base 12) to base 8.\nAnswer: -1444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55290702 by 2.\nAnswer: 27645351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20246442*y**6 - 224*y**2 + 27822*y - 1.\nAnswer: -2429573040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 124108209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*2)\/sqrt(11) + 0 + sqrt(343))**2*1.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/45 and 1\/130?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 62*h**3 - 34*h**2 + 5*h + 5. What is a(-2)?\nAnswer: -637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 62 + 138 - 67 + 2*x**2 + 7*x. Let c(u) = -3*u**2 - 8*u - 14. Let f(j) = 3*j - 4. Let h be f(4). Give h*g(w) + 5*c(w).\nAnswer: w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17168647 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*f*t**4 - f*t**3 + 1175*f*t - 13*t**3 wrt t.\nAnswer: -120*f*t**2 - 6*f*t - 78*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 5968*l**2 - 77950*l + 83916.\nAnswer: 2*(l - 2997)*(l - 1)*(l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -10 + -1 + 22 + 33?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -250*v**7\/21 + 28*v**5 - 2*v**4\/3 - 10*v**3 + 4*v**2 - 6*v - 8. Solve h(n) = 0.\nAnswer: -1, -2\/5, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 15. Let u be 3\/(3\/(-2)) - n. Suppose 0 = -2*x + 6, -3*x - 107 = -u*y + y. Calculate the remainder when 113 is divided by y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, q: 1, n: 1, h: 2}. Give prob of sequence mqmn.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zooo when four letters picked without replacement from {o: 8, u: 2, h: 3, z: 2, p: 2}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5297.628nm to centimeters.\nAnswer: 0.0005297628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19483 by -46665.\nAnswer: 19483\/46665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -6. Let t(o) = 33*o - 3. What is the tens digit of t(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 6*o**2 + 5*o + 4. Let l be t(-5). Suppose l*i - 5*i = -26. Suppose 12*m = -m + i. Solve -4*a - 22 = 2*f, -a + 5 = -m*a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 4:24 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 z when three letters picked without replacement from {k: 1, e: 4, z: 6, r: 2}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 621 or 597?\nAnswer: 597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41 - 2 - 2)*(2 + 2 - 5)*(2*j + 3*j - 4*j) to the form x + k*j and give k.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.13 - 0.02. Let m = c + 0.15. Let l be (0 + -4)*4\/(-80). Sort -4\/3, l, m, 0.5 in increasing order.\nAnswer: -4\/3, m, l, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -382. Suppose 19*v - 556 - h = 0. Is 27 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - 13 + 2 - 10*p)*(-3 - 3 - 2)*(-p + 4*p - p)*(p**2 - 8 + 8).\nAnswer: 64*p**4 + 176*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -249, -370, -489, -606?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -31180 and -1739 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 18*g + 43. Let t be p(-20). Suppose 4*y = t*j - 1 + 15, -22 = -j - 4*y. What is the second smallest value in -5, j, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from pfffpfffffp?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -110 - -21?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*y - 155*y = -5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from wwggw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 162820663 a multiple of 2395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 164?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0238, -68\/9, 2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23930 - -59451. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*t**2 - 13*t**2 - 17*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -5 (b) -2 (c) -7.4 (d) 2\/15 (e) -9\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 6*a**2 - 9*a**2 - 3*a.\nAnswer: -3*a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -585 - -592. Suppose 2*m + 36 = j, -j - y*m = -11*m - 42. Solve 0 = -5*q + 5 - j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4 - 27\/6. Let k be (j\/6)\/((-2)\/12). Suppose -4*s = 3*g + 4, 15 = 3*s - g + k. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2969301 and 678?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28, -317, -936, -1835, -3020?\n\"Answer: -d**3 - 131*d**2 + 55*d + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**4\/12 - k**3\/2 + k**2\/2 - 4*k. Let r be h(-2). Solve -r*n - 10 = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**3 + 224*h**2 + 195*h**2 + 223*h**2 - 642*h**2 + 154*h**3.\nAnswer: 143*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from {j: 1, u: 1, a: 2, t: 2, e: 4, q: 4}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(32)\/sqrt(4)))\/(-1*sqrt(27)) + -3.\nAnswer: -3 - sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 2*c**2 - 17*c - 42. Let u be s(-8). Is u at least as big as 479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1\/5, -139?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34888 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: Solve -1010*o + 54 = -1037*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -27*q**8\/112 + q**7\/105 + q**5\/3 - 9*q**2. Find the third derivative of l(z) wrt z.\nAnswer: -4860*z**2 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.72743 to four dps.\nAnswer: 0.7274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4276989 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**2 + 39*q - 31. Determine u(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 112*c + 4206 - 12382 for c.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 - -1518797459.\nAnswer: 1518797327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 18258*x.\nAnswer: -3*x*(x - 6086)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/13 + 11214*b**4\/13 + 15758320*b**3\/13 + 109312088*b**2\/13 - 626707200*b\/13 + 689920000\/13 = 0. Calculate b.\nAnswer: -2800, -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*sqrt(352)*-5)\/sqrt(8).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70668 and 9643464.\nAnswer: 5436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*r - 69*r - 53*r - 17*r to m*r + y and give m.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 10) to base 8.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 equal to -4.7491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85*(-34)\/578*27\/(-3).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*i - 0. Let p = i + -3. Calculate the remainder when (9\/p)\/(3\/(-56)) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/5424 and -63\/17176.\nAnswer: 103056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7999*k**2 - 6994*k.\nAnswer: 15998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9 + (-35)\/7 + 1962.\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/42*((0 - 0) + -1).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -110 - -115. Solve u**w - 5*u**4 - 10*u**4 + 17*u**4 = 0 for u.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -52. Let k(j) = 12 - j + 17 - n + 9. Suppose 30 = 2*h + 3*h. Calculate k(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 97511, 195027, 292547, 390071, 487599?\n\"Answer: 2*k**2 + 97510*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 43 divided by 26\nAnswer: 43\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -57*i - 249. Let r(d) = -7*d - 31. Let p(m) = 4*b(m) - 33*r(m). Let a be p(-8). Solve -a*l - 10 - 5 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - 4\/((-12)\/15). Suppose p - m + 68 = 0, 0 = -n*p - 2*p - 3*m - 272. Let w = 114 + p. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 4:05 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*17\/((-204)\/396). Let p = 4 + -4. Suppose 5*t - 45 = -p*t. Calculate the highest common divisor of o and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 - 42*z**2 + 199*z - 157. Determine s(5).\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 + 2) - (4 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 6*v**2 + 2*v - 7. Let r be o(5). Let a = r + 25. Let n(t) = -6*t - 2. Let c be n(-3). What is the highest common divisor of c and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -6117.\nAnswer: -3058.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63*o**6 + 2449*o**5 + o**2 + 96916*o wrt o?\nAnswer: 7560*o**3 + 146940*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.13 - -0.07. Let x(f) = 402*f + 4. Let m be x(0). What is the biggest value in m, l, 1, 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 114*k - 1143. What is q(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 943 times -8.6\nAnswer: -8109.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 53*n**2 + 104*n + 65. What is f(55)?\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19794 + 15906 = 10*b. Round b to the nearest 10.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 86\/10 + (-6)\/15*-1. Suppose -i*n + 417 = -51. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -158 + 277. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 12*j = 444 - 423, -j + 82 = -9*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-74 - 365 - 715 - 39)*(-2*x + 3*x - 3*x) in the form l + a*x and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 1 - 5. Let g be (1 - (-2)\/z) + -8. Let c = g + 8. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/144 and -82\/135.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1202 = 5*a - 259, 7*a - 2042 = 2*c. Solve -48 = a*v - 298*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -106\/3. What is the nearest to 2 in r, -2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/236, -186, 2\/11, -0.3, 0.3, -4?\nAnswer: -186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, r: 1, x: 2, l: 2}. What is prob of picking 1 r and 2 l?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = z - 677, 4*y = -0*y - 2*z + 682. Calculate the remainder when 4*1*7\/4 is divided by (1\/(-4))\/((-6)\/y).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 827 + -822. Solve -h = 2*p - 2*l + 3, -4*l + 16 = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 46) + (178 - 174) + (1 - (-2 + 13)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -10*o - 11. Suppose -4*f + z = -19, -f + 5*z + 6 = -13. Let y(b) = 5*b + 5. Let w(t) = f*c(t) + 7*y(t). Is 13 a factor of w(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59724 to the nearest 1000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.304 - -1.804. What is the second smallest value in h, -5, 3\/40?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.96 + -0.04. Let w = -6.87 - 0.13. Let h = -6.7 - w. Sort -1\/5, c, h.\nAnswer: c, -1\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 + 0.9. Let v = g - 0. Let x = 571\/1704 + -1\/568. Sort v, x, -5 in decreasing order.\nAnswer: x, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000074681054 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 1:56 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (37 - (-1 + 0)). Let p be (2\/o)\/(2\/8). Suppose 0*m = -5*c + m - 5, 3*c - 2*m + 10 = 0. Are p and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5, 13, 21, 29, 37?\n\"Answer: 8*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137 + 120. Which is bigger: u or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310610635 a multiple of 1720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((78 - -5) + (16 - 46 - -15)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -110, -165, -288, -509, -858, -1365, -2060, -2973?\n\"Answer: -5*f**3 - 4*f**2 - 8*f - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.2, 3\/4, -3, -7, 18\/5 in ascending order.\nAnswer: -7, -3, 3\/4, 18\/5, 8.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 27*m**5 - 4 + 14*m + 4*m**4 - 15*m**5 + 4*m**3 - 14*m**5 - 16*m**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 13*r + 80. Let b(s) = s**2 + 15*s - 144. Let j be b(r). Solve c + 15 - j = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggvggggggvggggg. What is prob of picking 3 g and 1 v?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 13*y**3 + 2*y**2 - 2*y + 1. Let w be m(1). Find the first derivative of w + 18 - 33 - 5*h**3 wrt h.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5\/2 (b) -0.2 (c) 1\/12 (d) -20 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.1 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 456442898*n**3\/3 - 456412684*n**2\/3 - 60427*n\/6 - 1\/6.\nAnswer: (n - 1)*(30214*n + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -5 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15634 (base 9) to base 10.\nAnswer: 10723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233992?\nAnswer: 2, 11, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/9)*n*n**(2\/47))**23)**(-2\/19) assuming n is positive.\nAnswer: n**(-24610\/8037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 3803345. Let j(g) = -2*g. Give a(j(r)).\nAnswer: -2*r + 3803345","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1076, -103\/6, 0.1 in descending order.\nAnswer: 5, 0.1, -103\/6, -1076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(1\/24)*o\/o**(-17\/2))\/(o\/(o\/o**1*o)*((((o*(o*o**(-2\/85))\/o)\/o*o)\/o)\/o)\/o*o))**(-50) assuming o is positive.\nAnswer: o**(-128165\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -17221*x + 3021. Give c(0).\nAnswer: 3021","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (28200\/(-18))\/((-2)\/(-60)). Round c to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 11*n - 10. Let g be z(-11). Let w = -7 - g. Suppose -3*m + 0 + 30 = 3*x, -5*m + 58 = -w*x. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.44 + 0.56. Let m(w) = -125*w**2 + 6 + 61*w**2 + 6*w + 68*w**2 + w**3. Let i be m(-4). Which is greater: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j - 21301 = -21040 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**3 - h**2 - 9*h - 7. Let q be v(-1). Solve 26*w = 27*w + q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5016\/252 - (-8)\/84. Solve -13*f + i*f = 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/3))**(16\/3)*(k\/(k*k**(-1)))**(3\/5))**(-1\/33))**41 assuming k is positive.\nAnswer: k**(2173\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 6*q**2 + 15*q - 27. Let r = -86 + 92. Let j be i(r). What is the greatest common factor of 27 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**4*z - 1247956*k**3*z**2 + 2599*z**2 - 337 wrt k.\nAnswer: -4*k**3*z - 3743868*k**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p. Let a(v) = -41 - 69*v + 17 + 24. Determine f(a(d)).\nAnswer: -69*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 169 + -261.2. Round q to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5 - 5)\/2)\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 584, 583, 582, 581, 580?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8830, -35438, -79780, -141850, -221642, -319150?\nAnswer: -434368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*k - 1400 - 900 = 0 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 12. What is the third derivative of 0*x**g - 3*x**5 + x**5 + 3*x**2 wrt x?\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1 + sqrt(1008))**2 + ((sqrt(7) + -2)*-6)**2) - sqrt(847)*-3*3*-2.\nAnswer: -918*sqrt(7) + 8430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 1172*j. Let n(m) = -21*m**2. What is t(n(i))?\nAnswer: -24612*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 9*u**2 - u + 11. Let i be j(9). Solve 0*o - i*o - 6 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 552443 + -1122?\nAnswer: 551321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3417061301 - 3?\nAnswer: -3417061304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1000\/350*((-105)\/6)\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 1. What is s(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 5*g**3\/6 - 3*g**2 - 7*g. Let z(i) = 9*i - 12. Let w(o) = 5*x(o) - 3*z(o). Suppose 2*c - 4*c + 12 = 0. Calculate w(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 2:50 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/22, -1696 in decreasing order.\nAnswer: -1\/22, -5, -1696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.1 and 0.0958811876094.\nAnswer: 1.1958811876094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -95396, -95407, -95410, -95399, -95368, -95311, -95222, -95095?\n\"Answer: c**3 - 2*c**2 - 12*c - 95383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -9\/415 (b) -0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdaadduvaurvurruvarv. What is prob of picking 1 v and 1 b?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, q: 4, o: 1, j: 1, e: 1}. What is prob of picking 3 k and 1 j?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + 4.8. Let i be ((-5)\/(-10) - 0)\/((-4)\/194). Let u = i - -25. What is the nearest to o in -0.1, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**6\/8 + u**5\/15 - 23*u**2. Find the third derivative of d(k) wrt k.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 11*r**2 + 13*r - 2. Determine a(9).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/7)\/h**9)**7 assuming h is positive.\nAnswer: h**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 8:04 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 337708 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/6847237?\nAnswer: -2\/6847237","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(8\/(-6)))\/((20\/8)\/(895\/(-5907))).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/10)\/v**(1\/6)*(v**30\/v*v)\/(v*v\/v**(-10)))**(2\/33) assuming v is positive.\nAnswer: v**(538\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 16 - -6 - (6 + -17) - 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -245445112 divided by -968?\nAnswer: 253559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m - 1 + 1 + 0 - 3. Suppose -5*f - 4*w + 5 = 0, f + 2*f = -2*w + 1. Calculate q(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8120000 to the nearest one hundred thousand.\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 5*k + 5. Let t be s(5). Let y = t + 11. Let g be (2 + -2)\/(y\/(-8)). Solve p + g*p = 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21281.\nAnswer: 13, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217 = -3*q + 217 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 432, 434, 436, 438, 440?\n\"Answer: 2*i + 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 894409 is divided by 52612?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1400*l = -1385*l + 60 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -u + 9. Suppose -u*p + 2*p = 16. Let a = p - -6. What is the common denominator of a and -63\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -34, -13, 0, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3885347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccpcccccccccccc. What is prob of sequence cpc?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 13 = -5*j + 3*n, 0 = -5*n - 5. Let p(a) = 10*a**2 - 3*a + 2. Is p(j) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2.3 (b) -2\/7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -8216\nAnswer: 5\/8216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 458870*s**2 + 1376675*s + 1835540.\nAnswer: -5*(s - 4)*(s + 1)*(s + 91777)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 97, 8, 0.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3975?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 979 = 221. Let k = -1013 + 808. Let y = k - p. What are the prime factors of y?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1328\/21 - -445\/7. Which is the closest to 0.2? (a) -1\/11 (b) -4\/5 (c) 1 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q**3 - q**2. Let g(x) = -x**2 - 4*x - 4. Let l be g(-3). Let i be z(l). Let v = 17 + -12. Which is smaller: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 130356 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 2*r**2 - r + 0 - 7\/30*r**5 + 0*r**3 + 7\/12*r**4. What is the second derivative of l(i) wrt i?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1, 7, 11, 5, -17, -61, -133?\n\"Answer: -g**3 + 4*g**2 + 3*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 232, 287, 346, 409, 476?\n\"Answer: 2*r**2 + 49*r + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -4 (c) 0.077 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 10*o - 56. Solve -5*n + 5 = 4*w, 5*n - n - 4 = -o*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10403 and 27413759?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2606.\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*l - 9. Let t(w) = w**3 - 11*w**2 + w - 3. Let k(i) = i**3 - 12*i**2 + i - 3. Let b(d) = -6*k(d) + 7*t(d). List the prime factors of b(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/56 and 11\/96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -5271 < -369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.99953 years to decades.\nAnswer: 9.399953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a. Let i be p(3). Factor 4*h**2 - 4*h**2 - h**i - 2*h**2 + 2*h - 3*h.\nAnswer: -h*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, -0.2, -27\/17, 1\/2, -7 in ascending order.\nAnswer: -7, -27\/17, -0.2, 1\/2, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -0.04 (c) -0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 - 89. Suppose -4*p + 4*j = p - 32, -3*p - j = -q. Suppose -107 - 429 = -p*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*r - 2*i - 26 = 343*r, 4*i = 2*r + 38 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 4.7 (c) 0.2 (d) -123280\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 - 2*l**2 - 3*l + 1. Let z(u) = -1341*u**3 + 221*u**2 + 10*u - 3. Let i(m) = -3*y(m) - z(m). Find the third derivative of i(g) wrt g.\nAnswer: 8082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.5, -1.8, 4.\nAnswer: -2, -1.8, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -159 + 870. List the prime factors of s.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + 350. Suppose -4184 - 4528 = -13*q - 108*q. What is the highest common factor of c and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.171932 - -0.0586?\nAnswer: -0.113332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -123611553.468 + -10855?\nAnswer: -123622408.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 91391203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -1804221?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -190.3 - -14.3. Let r = 176.1 + f. Sort -0.5, -12, r, 3.\nAnswer: -12, -0.5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/2 - (-1)\/(-1). Calculate the remainder when ((-105)\/(-28))\/(d\/(-32)) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.825 and 0.4?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1138534*y**2 + 109402*y wrt y.\nAnswer: 2277068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 156*k - 112246. Determine v(266).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24811 - 24703. What is the highest common divisor of 5664 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30*-1*(-3)\/9. Let r be (v\/(-6))\/((-2)\/6). Factor 0 - 1\/2*o + 7\/2*o**4 - 9\/2*o**3 - o**r + 5\/2*o**2.\nAnswer: -o*(o - 1)**3*(2*o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712.406 rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = -z + 20, 0 = 5*s. Let o = -16 + z. What is the highest common divisor of o and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43943?\nAnswer: 43943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 18*t - 12. Let y be l(-17). What is the highest common divisor of 10 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196217 is divided by 32688?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -5347000 to the nearest one hundred thousand.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/24)\/(-1*1)*-231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -30. Let g be (((-378)\/24)\/9)\/(l\/(-8)). Let y(c) = -c**2 + 4*c + 1. Let d be y(4). Solve 0 = 2*f - d + g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 498895, 498897, 498899, 498901?\n\"Answer: 2*u + 498893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**2 + 64*d - 32. Let k(s) = -6*s**2 + 96*s - 48. Let o(n) = 5*k(n) - 7*t(n). Let l be o(15). Solve 2*y = h + 4*y - 6, -3*h = 2*y - l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/13, 2, -5, -4?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 1:04 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.17337 kilograms in grams?\nAnswer: 19173.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 10. Let f(y) = -13*y + 1. Determine f(n(b)).\nAnswer: 13*b - 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-1)\/(34\/34)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 67 = -57. Let u = 42 - o. Solve -2*t = 4*z - 16, t - 2*z = -u + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7511202 divided by -138\nAnswer: -54429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**7))**35 assuming q is positive.\nAnswer: q**(-245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 169334*b*k**3 + 7*b*k**2 + b - k**3 - 665*k**2 - 2*k wrt k.\nAnswer: 1016004*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 6 = -3*o, 3*o + 2*i + 14 = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 562, -23.39?\nAnswer: -23.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 427117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*c - 1383 + 1331. Let p = 7 + -4. Suppose p*s - 7 = c. Solve -a = s*a + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54073078889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2255446 - 0?\nAnswer: -2255446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25025 and 3367000.\nAnswer: 37037000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 40*w**2 - 1262*w + 60. What is the least common multiple of o(34) and 56?\nAnswer: 23744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 21*a + 1884. Calculate x(-90).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 2*s. Let c be (20\/8 + -1)*8820\/21. Let z = c - 608. Solve a = -s + 2, 5*a - z = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k + 11. Determine u(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26350951273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.5063232091 less than 0.3?\nAnswer: 6.8063232091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1 (b) 1\/6 (c) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 93261 (base 11) to base 5\nAnswer: 13323241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8\/(-128) - (-1474)\/32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -130.26 to zero decimal places.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m + 40. Let g be c(18). Let p = 119 - g. Let y(r) = 6*r + 2. Let v(k) = -30*k - 11. What is p*y(t) - 2*v(t)?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755 is divided by 546.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + -8 + (-143)\/(-66). Let u = 2.8 - -0.2. Let r = u + -2.6. Put r, h, 0 in increasing order.\nAnswer: 0, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, u: 1, w: 2, d: 4}. Give prob of picking 2 f and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66693 is divided by 16542.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 248904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) -3 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -12*x + 4*x**2 - 3*x**2 + 7*x. Let u(v) = 2*v**2 - 11*v. Let j(z) = -13*k(z) + 6*u(z). Let j(n) = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + 3. Suppose v - 2*n - g = -2*v, 2*v = n + 9. Suppose 16 = v*z - z. What is the remainder when 6 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -37. Let a(z) = z - 3. Let d be a(3). Let b = 2 + d. Solve 2*s + 18 = -b*l, -s = 3*l + l + x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220735 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i = 38 - 70 - 58 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3378 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 8580?\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**4\/6 + p**3\/2 + p**2 + p. Let a be x(-2). Suppose -5 = -3*s + 4. Solve a*f + 2 = -o - 1, 0 = -s*f - 5*o + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.47 - -17.47. What is the nearest to -1 in -5, u, 4\/3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3602192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -9*h**3 - 10*h**2 - 11*h - 12. Let x be b(-6). Suppose -5*a + 5*d = -2*a - x, 5*a - 3*d = 2714. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 6*i)*(152 + i + 159 - 3*i - 61).\nAnswer: 12*i**2 - 1500*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1927671833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/4253 or -0.041?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(2*h**4 + 2*h**4 + 6*h**4) + 201*h**4 + 2558 - 2560 + 29*h**4.\nAnswer: 240*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 248395.9kg?\nAnswer: 248395900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnjejeejee. Give prob of picking 4 e.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47905, -95812, -143719, -191626, -239533?\nAnswer: -287440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.710256 millilitres to litres.\nAnswer: 0.003710256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 14*o**2 + 24*o - 37. Calculate d(-13).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -4*f + 3*t, t = -f + 7895 - 7907 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - g + 19 = -9, -3*g = -4*a + 36. Suppose -3*t = -0*t - 27. Let p = a - t. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/7)*n)**13\/(n**34*n**26\/n) assuming n is positive.\nAnswer: n**(-374\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -690 + 190 = -92*b + 604. Calculate the remainder when 370 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115739 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlzd when four letters picked without replacement from {z: 2, l: 5, d: 3}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17d0acbc + -3?\nAnswer: -17d0acc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9465318?\nAnswer: 2, 3, 691, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*z - 15*z - 34*z = -1748. Solve -z*b + 216 = -46*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1762213 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000521133142 to 5 decimal places.\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 77735763 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 - 95*p - 4. Is k(-33) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(10)*-2 - (sqrt(10) + sqrt(160)*-4))\/(sqrt(45)\/(sqrt(54)\/(sqrt(12)\/sqrt(2) + sqrt(6)))).\nAnswer: 17*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -11. What is the smallest value in h, -3\/8, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/w)**(3\/4)\/(w*w**(-2\/3)\/w)**(-32) assuming w is positive.\nAnswer: w**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3338 - 6*x - 12*x + 3340 + (-2*x - 2*x + 5*x)*(5 - 3 - 1) - 5*x + 4*x + 3*x.\nAnswer: -15*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*o + 0*o**3 + o**3 - 6*o**2 + 88*o in the form w + s*o**3 + v*o + j*o**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/51 and 5\/26223.\nAnswer: 445791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6774 + -276?\nAnswer: -275.3226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 2304 - 5876 = 0. Suppose -o*v + 415*v - 126 = 0. Solve 24*s - v*s = 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c2938 (base 13) in base 4?\nAnswer: 10022123100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -128134436 rounded to the nearest one hundred thousand?\nAnswer: -128100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 25.\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 + -54. Suppose -3*b + r*i = -2*b - 10, -b + 2*i + 10 = 0. Suppose -7*h = -b*h + 312. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1147, 4191, 9265, 16369, 25503, 36667, 49861?\nAnswer: 65085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i + 23*i - 4*v - 12 = 0, -4*i = -v - 21. Let f(y) = -2*y - 1. What is f(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**3\/3 - 501*q**2\/2 - 232*q + 43. What is the first derivative of z(l) wrt l?\nAnswer: -2*l - 501","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 3. Let w be y(3). Let x(r) = r**3 - r**2 + 10. Calculate the lowest common multiple of 4 and x(w).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**5 + 102076*p**4 - 6241280*p**3 + 6139200*p**2 = 0.\nAnswer: -25580, 0, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59291823 is divided by 19763932.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**4 - 224457*f**2 - 170944 wrt f.\nAnswer: -4*f**3 - 448914*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3411*z. Let m(v) = 41*v**2 - 2. What is m(x(u))?\nAnswer: 477031761*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29.7129 - -0.0929. Let s = -29.6 - f. What is the second smallest value in 5, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 3 - (288 + -288).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 + -59. Let k(d) = 341*d + 5. What is the hundreds digit of k(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*a + 210 = -512 + 3918. Solve -4*v + 36*c = a*c + 12, 3*c = 3*v + 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-9 - -8) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 5*j**7\/21 - j**6\/5 - j**5\/5 + j. Factor w(d).\nAnswer: 2*d**3*(d - 1)*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*t**2 + 4*t - 6*t + 2*t in the form z*t + p*t**2 + o and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -10*l**3 - 6*l**2 - 2*l + 6. Let s(j) = -11*j**3 - 5*j**2 - 2*j + 5. Give 6*s(u) - 5*x(u).\nAnswer: -16*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -8.56754.\nAnswer: -3.56754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0*z)**(-1\/6))**9*((z**(2\/3)\/z)\/z*z\/(z*(z\/z**2)\/z)*z)\/((z*z*(z**5*z)\/z)\/(z\/z**5)) assuming z is positive.\nAnswer: z**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146 divided by -9526.\nAnswer: -73\/4763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 29005797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4313*f**3 - 4347*f**3 + 13007*f**3 - 4346*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 6 = 5. Let h = w - -94. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5094\/15 + 84\/(-15) + 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139380 + -139378. Factor 7\/3*s + 0 - 1\/6*s**n.\nAnswer: -s*(s - 14)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**5 + 5*j**3*n**2 - 2*j**3*n + 131*j*n - 6*n**2 wrt j.\nAnswer: -20*j**3 + 30*j*n**2 - 12*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 6861*q + 1. Let d(a) = -2*a**2. Give k(d(t)).\nAnswer: 4*t**4 + 13722*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r + 4 - 4 + (-4 + 4 + 1)*(0*r - r + 2*r) + (-4 - 3 - 6)*(-11*r - r - 2*r) to w*r + b and give w.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11950502 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21070337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*m, 5*t + 3*m - 31 = -39 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2988?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.3208 centuries?\nAnswer: 3.208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*a + 354, 34 = 5*a + 3*k + 495. Let q = 157 + a. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15b43a + 24?\nAnswer: 15b462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7\/24)\/((-42)\/(-336)))\/1?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**3 + 2*h**3 + 0*h**3 - h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 7:33 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.24044513 to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 7) to base 15\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**3\/4 - 1071*b**2\/4 + 22179*b\/4 - 4393\/4 = 0.\nAnswer: 1\/5, 23, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -834.9 - -835. Which is bigger: t or -0.109?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 2*o - 3*u, 2*o + u - 45 = -16. Suppose -5*w - 4*q = -82, -39 = -5*w + 2*w + q. Calculate the remainder when o is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1291005, -4, -2 in decreasing order.\nAnswer: -2, -4, -1291005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7822289011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*n - 11*n - 6*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*z**3 + 1229*z - 1229*z + (-2*z**2 - 2 + 2)*(4*z + z - 4*z) + (2*z + 5 - 2 - 4)*(-z**2 + 2*z**2 - 3*z**2).\nAnswer: -19*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 704? (a) 0.03 (b) 2\/5 (c) 3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 2:03 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/47 (b) 5\/4 (c) -1\/7 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**5 + 0*a + 0*a + (5*a**5 - a**5 - 3*a**5)*(4 + 0 - 2) + 0*a + 2*a**5 + 0*a.\nAnswer: 5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-85 - 10*o + 85)*(0 + o + 0) + o**2 + 3*o**2 - 2*o**2)*(68*o**2 - 30*o**2 + 2*o**2).\nAnswer: -320*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -1\/2*j - 1\/24*j**6 + 1\/4*j**4 + 0*j**5 + 1\/6*j**3 - 3\/8*j**2 - 53. Determine s so that z(s) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*p + 41*p - p in the form h*p + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 391\/8 - 3467\/72. Let q be (1\/(-3) + 154\/(-33))*9. Calculate the common denominator of b and (-190)\/48 + 75\/q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6438490253?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(-5) - (337304 + -1). What is m rounded to the nearest 10000?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + 4\/2)*-71. Let y = -35143\/99 - x. Let r = -89\/495 - y. Which is the biggest value? (a) 2\/13 (b) 6\/11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**2 + 200*a + 198 = 0.\nAnswer: -99, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 + 102. Let u = m + -171.9. Which is smaller: -14 or u?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7615 = 198*d - 685 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -120119198528808 - -5?\nAnswer: -120119198528803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5 + 7, -4*h - 340 = 4*f. Let y be (0 + 6)\/((-6)\/8). Let x = y - h. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108 + 603. List the prime factors of l.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000126309 rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32, 57, 78, 95, 108?\n\"Answer: -2*y**2 + 31*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -207577 divided by 6\nAnswer: -207577\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j + 27 = 12*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 9. Suppose 2*w + 2*c + 8 = 0, i*c = -4*w - 25 + 7. What is w rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*a**2 + 2*a**2 + 5*a - 7*a**2 + 0*a**2 + 3*a**2 in the form s*a + u*a**2 + f and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-23 - (6 - (4 + 15))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 - (-2 + -19 - -11)) + (-17 - -32)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19105 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 88252937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 6*t**2 + 2*t + 8. Let d be q(-6). Let x(w) = -w**2 + 14*w - 5. Let k be x(10). Is k*(d\/10 + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 1673*w**2 - 2. Let p(u) = 2*u**2. Determine p(c(x)).\nAnswer: 5597858*x**4 - 13384*x**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0*j\/(j**4\/j))\/(j**(-1)*(j\/j**(-2))\/j))\/(j**(-2\/17)\/(j*j\/((j*j\/(j\/((j*(j*j\/(j\/j**(-1\/4)))\/j)\/j)))\/j))*j**6\/(j**0*j)) assuming j is positive.\nAnswer: j**(-383\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 12:43 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 11 + 22 - 10 + 116*r - 15 + 12.\nAnswer: 116*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 0)*(-m + 5*m - 5*m) + 0*m + 5*m - 4*m - m - 1 + 1 + (-m + 2 - 2)*(-2 - 2 + 5))*(1 - 1 + 1).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*l + 30, 3*l - 53 - 67 = -4*o. Let p = -20 + o. Solve -z = -4*j + 1, -p = -z - 2*j - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of z**4\/6 + 131*z + 94. Let p(h) be the first derivative of q(h). Let x(s) = 157*s**2. Calculate p(x(d)).\nAnswer: 49298*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/sqrt(8) - (-1 + sqrt(20)\/sqrt(4))**2)*-1 + -2.\nAnswer: -5*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 3*l - 27401, -34252 = -5*t - 99*l + 96*l. What is the thousands digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzzzzzzzzizzz.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -3*r**4\/4 - 11*r**3 - r**2\/2 - 227*r + 8. Find the second derivative of l(t) wrt t.\nAnswer: -18*t - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v. Let k = -12 - -21. Suppose -3*h + k + 3 = 0. Suppose 0 = -2*m - 3*l - 18 - 7, 3*m + 2*l = -35. Let t(r) = 8*r. What is h*t(b) + m*c(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*t**3\/5 + 6052*t**2\/15 + 192*t\/5.\nAnswer: 2*t*(t + 144)*(21*t + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-11 - -3 - 2) - -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m**2 - m + 4. Let o(b) be the third derivative of -1\/24*b**4 + 1\/6*b**3 - 3*b**2 + 0 - 1\/60*b**5 + 0*b. Let l(n) = -3*o(n) + q(n). What is l(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -189, -37, 5, -4, -1, -68, 1 in descending order.\nAnswer: 5, 1, -1, -4, -37, -68, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3117344 divided by -8.\nAnswer: -389668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-10)\/(-6)) + 122. Suppose 0*z + 4*z - v = -5*j, -2*z + 2*j = -46. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9638*v**6 + 6*v**2 + 296*v - 4 wrt v.\nAnswer: -1156560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/5))**(-3\/4)\/(g*(g**(-1\/2)\/g)\/g*g**(-4)*g) assuming g is positive.\nAnswer: g**(81\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 10*f**2 + 17*f. Suppose 4*g = -4*n + 24, -2*g - 7*n + 24 = -2*n. Suppose 0 = -5*l - 3*y + 56, -l = g*l - 3*y - 24. Is 12 a factor of c(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156043733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61.9 * -0.066.\nAnswer: -4.0854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*g*j*t**3 + 10*g*j*t - 55*g*t**3 - 2*g*t**2 - 16*t**2 wrt t.\nAnswer: 108*g*j - 330*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i + 4. Let d(c) = 4*c - 7. Let m be 1\/(-4) + (-648)\/(-32) + -4. Suppose -33*j - m = -37*j. Give j*d(x) + 7*n(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from aooooaooaooooaoooao.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-45)*(-1 + -2). Is (-17 - -1375)\/((-4)\/y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125239120 rounded to the nearest 1000000?\nAnswer: 125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, s: 2, f: 6}. What is prob of sequence ss?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/8656 and 103\/390240?\nAnswer: 211119840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 3\/2 (c) -2\/7 (d) -2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9496, -9613, -9924, -10525, -11512, -12981?\n\"Answer: -16*q**3 - q**2 - 2*q - 9477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from hywqjkjwjyhhqhjhqhhh.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1974 and 157\/84?\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - k = k + 3, -5*k = -3*h - 3. Suppose 0 = -4*d + 5*y - 77, 3*y - 1 = 2. Let c = h - d. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3539.\nAnswer: 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -31+-875533.924\nAnswer: -875564.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n + 11*n + 11*n in the form a*n + u and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypp when three letters picked without replacement from pbbppppbbbpbpbpypppb?\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*3*sqrt(825))\/(-1*(sqrt(30)\/(sqrt(10) - sqrt(90)) + 1*sqrt(432) + sqrt(432))))**2.\nAnswer: 39600\/2209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k - 2*k - 72798*u + 259 = -72793*u, 4*k + 4*u = -140 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13216*r**3*w**2 + 539*r**3 - 3*r**2*w**2 + 7761*r**2 + r*w**2 - 2*r - 11*w**2 wrt r?\nAnswer: 79296*w**2 + 3234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -1\/4*j**3 - 31\/4*j**2 - 56*j + 64 = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*t**2 + 112*t + 3117.\nAnswer: -4*t + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + b - 2 - 2 = 0, 3*p + 19 = -2*b. Let g be -2*-1*p\/1. Let o be 2 - 7\/g*-2. Is 1\/2 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65163 + 94675. Is d a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -0.5 (c) 0.5 (d) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 5*r - 6. Let p(g) = -g - 1. Let m(j) = n(j) - 5*p(j). Let x(d) = 6*d**3 + 2*d + 4. Let h = 3 + -4. Let z = h + 0. Give z*x(t) - 4*m(t).\nAnswer: -2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28983 = 3*s - 2*g, 2*s + 48307 = -3*s + 4*g. Let y = -5871 - s. Suppose 0*n = -n - 4*p + y, 0 = n - p - 3803. What is n rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 less than -8\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from {w: 1, s: 10, t: 2, f: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*((sqrt(1323) + 1*sqrt(1323) + sqrt(1323))*-6 - sqrt(1323) - (sqrt(1323) + sqrt(1323)*2*-2))**2.\nAnswer: 338693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 82*f - 505. Determine a(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2 - m - 13. What are the prime factors of y(-12)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8*u + 4 - 4)*(3 - u**2 - 3) + 3*u**3 + u**3 - 6*u**3)*(u**2 + 17*u**2 + 9*u**2).\nAnswer: -270*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 376*c + 21*c**2 + 24*c + 317*c - c**3 + 130*c - 103*c**2 wrt c?\nAnswer: -6*c - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*v - 132 + 58 + 417*v + 74.\nAnswer: 285*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 9 - 1. Let n = a + -4. Let h = -16 + 16. Sort n, h, 5 in increasing order.\nAnswer: h, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -14, 1128, -0.3.\nAnswer: -14, -0.3, 2, 1128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -m - 31. Let u = m + 80\/3. Factor -2\/3 - 4\/3*j - u*j**2.\nAnswer: -2*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -117*t**3 - 2*t**2 - 9*t - 3. Determine f(-1).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17196 or 17195?\nAnswer: 17195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 8)*(-46)\/(-368). Let f = -1 - -2. Let y = f - 0.8. Which is bigger: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 395 and 87754385.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 2\/3 (c) 0.5 (d) -0.224 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2358901816 rounded to the nearest 1000000?\nAnswer: 2359000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -10) + (3 + -6 - -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7971976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o + 58*o - 78*o = -1131 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-460)\/12*6\/2. Let d = -57 - q. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 25 = 0, 3*g - 31 - 172 = -4*b. Suppose 7*r + g = 292. What is the highest common factor of r and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 2*s + 15, 5 = 2754*s - 2755*s + n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.127850791 rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 15\/(-9))*-12. Suppose 15 = p - f*r, -p - 2*p - 3*r = 0. Suppose 0*l = -p*l + 18. Calculate the least common multiple of l and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b + 10. Suppose b*s = -3*n + 1 + 2, -5*s = 0. Calculate the remainder when n is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 2:25 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -2*n - 95. Let q(i) = -25*i + 33. Let d be q(2). Let b = n + d. Solve b*m = -0 + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14537718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162288\/(-10584)*6\/(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2*y + 12. Find the third derivative of -7*j**2 - y*j**3 + j**2 + j**2 - j**3 wrt j.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -831.368.\nAnswer: -166.2736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*k + 674*k - 308*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 divided by -45.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -28. Let k be -2 + (p - -2) + -3. Suppose -a + 1 + 2 = k. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 1:17 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 0 + 18586659*g**2 - 18582065*g**2 as u*g**2 + o + m*g and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000372152 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, 36, 4, -5, -30, -55 in descending order.\nAnswer: 36, 4, -5, -30, -55, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 2 + 0)**2.\nAnswer: 36*sqrt(3) + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1788, 1796, 1816, 1854, 1916, 2008, 2136, 2306?\n\"Answer: f**3 + f + 1786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 228.877929 minutes?\nAnswer: 0.02270614375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 + 1 - 2*y - 2*y**3 + 3*y**2 - y**3. Let t be b(1). Find the first derivative of -1 + t + 1 - a**4 wrt a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37807379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1425 - 12047 = -2*f. Let m = f - 2876. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)*2 + -3.\nAnswer: -3 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394 + 8*j**3 - 6*j**3 - 3*j**2 + 518 + 0*j**2 + 267.\nAnswer: 2*j**3 - 3*j**2 + 1179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46961, 93917, 140873?\nAnswer: 187829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 283625 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 + -8 - -6)*1\/(-1). Suppose -g - 3*b = -10, 5*b + 8 = 5*g - 2. Put g, -2, i in decreasing order.\nAnswer: g, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**29\/x))\/(x\/(x\/(x*x*x\/x**(7\/6)))*x)*(x**(3\/2)\/x*x)**39 assuming x is positive.\nAnswer: x**(86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/63? (a) -3\/7 (b) 0.3 (c) 13.14 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 5*c - 216. Suppose -73 = -3*q + c. What is the highest common divisor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 72\/875 and -141\/19810.\nAnswer: 495250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2760.6251 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5444294 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2473338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**7\/126 - o**6\/30 + o**5\/30 + o**4\/18 - o**3\/6 + o**2\/6 + 3*o. Solve p(j) = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000461268 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52400\/417 or -127?\nAnswer: -52400\/417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45066 and 5250.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.1, 0.6, 2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3 = 4*c - 5, 3*p + 1 = 5*c. Suppose -4*z = c*x - 132, -5*z + 152 = -x - 3*x. Suppose s = 5*s - z. What is the remainder when s is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*r**4 - 81*r**2 + 135?\nAnswer: -8*r**3 - 162*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.130221l in millilitres?\nAnswer: 4130.221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*n + 1. Let a be (-4)\/2*2\/(-2). Suppose -a*u - 5 = 3*u. Put 5, u, n in decreasing order.\nAnswer: 5, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + 0*c**2 - 4*c**2 + (3*c + 2*c**2 - 3*c)*(0 + 1 + 1) + (6 - 3 - 1)*(3*c**2 + 0*c**2 - 2*c**2))*(7*c - 10*c - 14*c).\nAnswer: -85*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75.1 - 75. Let h = 445 + -1779\/4. What is the closest to 2\/5 in -3, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**4 + 2*h**4 + 0*h**4)*(-5 + 5 + 4*h) + 2*h + h**5 - 2*h.\nAnswer: -7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 565 - 318. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*z + 17 = -z, 5*u = -3*z + 27. Calculate the greatest common divisor of u and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7087719*i**3 + 2 + 1348807*i**3.\nAnswer: 8436526*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -3116?\nAnswer: 3117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*j + 156761 = 39321. Which is bigger: j or -2937?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 1 + 3 - 7*x**2 as o + s*x**2 + c*x and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - d + 6*d - 37 = 0, 2*s + 2*d = 16. Suppose 3*j + s*t = 2112, -j + t + 327 = -385. Suppose 2*r + j = 5*r. What are the prime factors of r?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26449, 54085, 81721?\n\"Answer: 27636*c - 1187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + p**3 + 2*p**3 + p**2 - 10*p to z*p**3 + q + y*p**2 + h*p and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.334 + 9.2. Let g = b + 0.067. Let r = g - -0.129. What is r rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2371048.2 months in centuries?\nAnswer: 1975.8735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 15 + 17 = 0. Suppose k = a + 3*a + 3*t, a + 3*t - 2 = 0. Suppose 10 + 24 = a*v. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 239760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 7. Suppose -l*v + v + 18 = 0. Calculate the greatest common divisor of v and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -100891*i + 1311614. Give c(13).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 9*u - 1. Let j be f(-5). Suppose 1 = -2*h - w + 10, 3*h - j = 4*w. Let t = 6 + -4. Put h, t, -5 in descending order.\nAnswer: h, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)*n*n*n\/n**(-1\/4)*(n**1)**(1\/14))\/(n**2*n\/n**(-7))**1 assuming n is positive.\nAnswer: n**(-243\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/x**(-1))*x**2*((x*x**1)\/x)\/(x*x**(2\/3))*(x\/(x**(-7)\/x)*x*x*x**0*x)\/(x**(-6)*x*x\/(x**(-1\/2)*x)) assuming x is positive.\nAnswer: x**(101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.47961 - -0.4.\nAnswer: -0.07961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxg when three letters picked without replacement from xqqgqqqgqxq.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -13*g + 127. Let k be ((-18)\/8)\/(69\/(-276)). Let u(l) = 3*l - 32. Determine k*u(d) + 2*h(d).\nAnswer: d - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 47*k**2 + 42*k + 189. Let d be i(46). Solve 4*t + 1 = v + 3*t, 14 = d*v - 2*t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (441\/14 - 18) + -12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 598782.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, f: 2, n: 1, e: 3, c: 4}. Give prob of sequence fe.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 7*n. Suppose -15*d + 11*d + 16 = n. Find the second derivative of -19*i**d - 5*i - 14*i + 37*i**4 wrt i.\nAnswer: 216*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = g, 0*g - 6 = -g + c. Suppose -4*q - 4*l = 152, 3*q + g*l + 120 = 7*l. Let d be (1 + 5)*(-1)\/q. What is the third biggest value in d, 1, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, t: 4, c: 2}. Give prob of sequence tttt.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 2. Suppose -5*n - 2*u - u = -16, -u + 12 = 5*n. Let k be x(n). Solve k*v = -5*b - 23, 14 = -2*v - 3*b + b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26902952749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 1. Let s = -25 + 19. Determine r(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 8*w - 3. Let b(r) = r + 13. Let d be b(-7). Suppose d*x - 25 = x. List the prime factors of y(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0176446 rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*v + 3*a, 2*v + 5*a = 10*a + 34. Let u(w) = w + 8. Let q be u(-6). Differentiate 0*m + 0*m - 5 + v*m**q + 7 with respect to m.\nAnswer: 14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4272202 + -4272202.06000002. Let n = -10.94 + 11. Let l = n + m. Round l to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 13896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -295 + -25. Let v = z + 4162\/13. Let s = 0 + -0.1. Put -5, s, v in descending order.\nAnswer: v, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 9 - 2*y - 12 + 15 + 16.\nAnswer: -2*y + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(810))\/sqrt(5).\nAnswer: 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4.64 or -67?\nAnswer: -4.64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8271063 divided by -11633\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 89. Let b be x(-19). Calculate the common denominator of 107\/30 and (-3 + b\/25)*(-56)\/48.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**3 + 13942008*n**2 + 12148682365872*n - 72892596108384 = 0. What is n?\nAnswer: -1742754, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 10:14 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + 1)**2 + 0 + (sqrt(513)*-4)\/sqrt(3).\nAnswer: 6*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 29704?\nAnswer: -29704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 4*d**2 + 4*d + 5. Let v be z(-2). Solve 3*s = v*s + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i - 6. Suppose -5*m + l - 22 = -2*m, 3*l = 3*m + 30. Let r(n) = -6*n + 7. Let x(d) = m*r(d) - 7*o(d). Let w(y) = -7*y**2. What is x(w(z))?\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 10*w - 3 + 12)*(57 - 50 + 53).\nAnswer: 600*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**3\/2 - 43*t**2\/2 - 62*t. Let g be d(15). Solve -g*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 8*z - 7. Let f(d) = -63*d + 701. Let h be f(11). Determine n(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4240)\/(-1908)*9\/(-72)?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.05, -5 in ascending order.\nAnswer: -5, -0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3624 is divided by 43.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27236 = -5*a - 6*v + 27103, 4*v = -3*a - 0*v - 79 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 167669003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5325 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5057.747 hours in microseconds?\nAnswer: 18207889200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (441\/42 + -11)*6\/87.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -44 times -2587.51\nAnswer: 113850.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + 1*sqrt(170)*-1)*5)\/(-3*(sqrt(10) - (sqrt(10) + 1*sqrt(10)*-2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-291)\/16*(-247)\/(-741) + (-8)\/(-128).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-10)\/(-12)*(-824)\/(-6489)*-21?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 50, 66, 88, 116?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88*l**4 - 839*l**2 + 839*l**2)*(-21 - 6 - 17).\nAnswer: 3872*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 6*o**2 + 2*o - 7. Let t be u(6). Suppose -t*g = -6 - 4. Suppose 0 = 3*z - 2*z + g. Sort z, 5, 1 in decreasing order.\nAnswer: 5, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1 (c) 5\/61 (d) 4 (e) 10 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, e: 4, s: 6}. Give prob of picking 1 j and 2 s.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-7)\/2 + -2. Let d(w) be the first derivative of -3 + 3*w + w**2 + w + l - w. Differentiate d(k) wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -154 - -147.1. Let k = v - -7. What is the second biggest value in -2\/9, k, -2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-522)\/(-15))\/6 - (-12)\/(-15). Suppose -1 + 10 = -f*x + 3*y, -3*y = -4*x - 9. Solve l - 5*l + 20 = x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l + 1068123 = -549961 + 403721. List the prime factors of l.\nAnswer: 43, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3954 is divided by 1305.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -10. Find the second derivative of -3*f + 0*f**4 + 0*f - 10 - 45*f**a + 6*f wrt f.\nAnswer: -540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -16*x**2 - 2*x + 1. Let u be f(-2). Suppose 99*q = -585*q - 38988. Which is greater: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 3*j + 9, -13*v = -83*v + 67*v - 3*j + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120688450 and 1780?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 1771.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*1*0\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -79*s**2 + s - 2. Calculate g(1).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808 is divided by 197.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665275 is divided by 665223?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 + 5*i**3 - 4*i**3 + 7*i**2 + 6*i**3 + i**2 - 6*i**2.\nAnswer: 6*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5003*l + 5011*l = -72 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 14 = -3*f, 7*g = 4*f + 12*g - 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2202981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*s = 1103, -6*u + 2*u + 3*s + 1097 = 0. Calculate the highest common factor of 170 and u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2754 = 309*p + 591 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Let c be (-2)\/((-10)\/(-12) - (-24)\/(-16)). Let x(n) be the third derivative of 0*n - n**2 + 0*n**c + 0 + 1\/24*n**4. Determine x(d(t)).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142670931?\nAnswer: 79, 183091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.256 - -21.1. Let a = m + -0.044. What is the smallest value in -4, -1, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/45)\/((-4)\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 7*d - 8. Let v be i(-13). Let o = 1093 - v. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -79*m**5 + 2*m**2 - 5*m**2 + 87*m**5 + (0*m**5 - 5*m**5 + 6*m**5)*(-5 + 4 + 0) - 3*m**2 + 3*m**2 + 2*m**5.\nAnswer: 9*m**5 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d + 2 + 9 + 1 + 0. Is j(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19837 and 0.3.\nAnswer: -5951.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 551\/(-266)*(-32)\/116?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000456124 rounded to seven dps?\nAnswer: 0.0000456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 3)*(1 + 1 - 1 + (-2 - 3 + 4)*(2 - 2 + 1) + 6 - 3 - 4)*(-2911 - 391*f + 2911) as n + l*f and give l.\nAnswer: 1564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -d - 11, d + p + 14 = 6*p. Suppose 61 = 2*t - 3*b, 56 = 3*t - t - 2*b. Let s = d + t. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -91*w**2 - 5*w + 10. Let q(f) = 45*f**2 + 3*f - 7. Calculate 3*h(y) + 5*q(y).\nAnswer: -48*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 63375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*s - 226*s - 5*d + 7 - 11 = 0, 0 = 4*d - 4 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.3 from -680.\nAnswer: -682.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*k - 5850 = -102*k - 980*k + 10408 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*j - 167 = 102*j - 155*j - 647 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l = 3. Let i be 4\/((-36)\/15)*l. Let x = -8 - i. Which is the closest to -2? (a) -0.1 (b) 1\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -235 and 0.01 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*g + 24 - 0, -5*g = 0. Suppose u*s = 137 - 1. Solve 3*a + 16 + 7 = -4*b, 4*b = 3*a - s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*3*(2 + sqrt(1573)))**2 + -2.\nAnswer: -1135442 - 31680*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46426627 by -46943.\nAnswer: -989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22583*y**2 - 2*y - 11313*y**2 - 11291*y**2 + 2*y.\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7382000609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r. Let z(k) = -k + 7. Let a be z(5). Let y(i) = i**2 + 0*i**2 - 3*i**a - 2*i**2. Give y(d(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40.9 - 26.6. Let u = n - 14. Put u, -2\/9, 1 in increasing order.\nAnswer: -2\/9, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**0*c*c*c**(-14) assuming c is positive.\nAnswer: c**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2120, -2103, -2086, -2069, -2052?\nAnswer: -2035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1158*i**3 - 296*i wrt i.\nAnswer: -6948*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1850195 by 1.\nAnswer: -1850195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 37?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 25615596.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1\/6, 15, -84\/17?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 y, and 1 o when four letters picked without replacement from {y: 4, g: 3, o: 1}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18275 - -18271. Put 3, 4, q, 13 in ascending order.\nAnswer: q, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thy when three letters picked without replacement from {y: 3, h: 6, t: 4}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4665)\/20 + 9\/(-12). Let z = p - -1642\/7. Suppose -6 + 3 = v. What is the biggest value in z, 2\/3, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -880, -1061, -1242, -1423?\nAnswer: -1604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-22)*(28588\/(-336) + 86).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3597 (b) 44 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*s + 108 = 0, 413 = 4*k + s - 2*s. Let p = k - 39. Calculate the highest common divisor of p and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 + -10 - (0 - 0). Let r be 44\/(-10) + n\/5 + 4. Put -1, -8, r in descending order.\nAnswer: -1, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -825.\nAnswer: 247.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 110, 396, 972, 1934, 3378?\nAnswer: 5400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 22*i**2 - 19*i - 47. Determine a(21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99620, -196856, -294092, -391328?\nAnswer: -488564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3920 is divided by 104?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 154 (base 12) to base 16\nAnswer: d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**5 + 3*p**5 - 2*p**5 + (-2*p**2 + 4*p**2 - p**2)*(p**3 - 2*p**3 - p**3) + 0*p + p**5 + 0*p.\nAnswer: -5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 142\/7. Let i = -0.3 - -0.1. Suppose 750*g - 745*g + q = -35, -4*g + 4*q = 4. Which is the closest to t? (a) g (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9640 and 320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + g + 6. Suppose -3*o = -0*o. Let z be k(o). Let i = -4 + z. Calculate the remainder when 2 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -45*v**3 - 7*v**2 - 8*v + 6. Let p(z) = -135*z**3 - 20*z**2 - 22*z + 17. Let g(t) = 6*p(t) - 17*u(t). Find the third derivative of g(l) wrt l.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 + 76. Calculate the greatest common factor of d and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/84 and -41\/27098?\nAnswer: 1138116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -275a36 - -1?\nAnswer: -275a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -242 in 2\/5, 5\/6, -2\/5, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -22*l. Let a(w) = 3*w**2 - 8*w. Let b(m) be the second derivative of m**4\/12 - m**3\/2 - 5*m. Let c(i) = -3*a(i) + 8*b(i). What is y(c(n))?\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 237*b + 514. What is the thousands digit of r(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 53*n**2. Let b(c) = c**2. Let j(q) = 2*b(q) + w(q). Let m(i) = 3*i - 245. Let k(a) = -a + 98. Let s(h) = -5*k(h) - 2*m(h). Determine j(s(u)).\nAnswer: 55*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*((-18)\/(-4) + -3). Let w be 6\/3*(18\/4 - o). Let a be (1 - (-1)\/1) + 1. Solve -6 = w*d + a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2742718, 2742721, 2742724, 2742727?\n\"Answer: 3*h + 2742715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137053, 274131, 411207, 548281, 685353?\nAnswer: 822423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 214194668 to the power of 1\/3, to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3 + 3\/(-7))\/((-346)\/((-419006)\/(-519)))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-147))\/(11\/((-385)\/10))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2845932*o + 2845993*o = -2318 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2539179552?\nAnswer: 2, 3, 7, 13, 290657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 8:47 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by 3681.\nAnswer: 35\/3681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 7:40 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.057, -0.506, 50, 4 in descending order.\nAnswer: 50, 4, 0.057, -0.506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-3 - -6) - -8. Does 15 divide (-1 - (-94)\/x)*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/2 - -4*(-2)\/4. Solve 3*x - 4*g - 13 = 0, f = 4*g - 7*g - 12 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 145, 795, 1899, 3475, 5541, 8115, 11215?\n\"Answer: 3*r**3 + 209*r**2 + 2*r - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -239 - 1669*s + 122 + 117 to the form b*s + u and give b.\nAnswer: -1669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51310387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4\/5 - 12*j**3\/5 - 4*j**2\/5 + 12*j\/5.\nAnswer: 4*j*(j - 3)*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143556 (base 7) to base 3.\nAnswer: -1102000220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 20644.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4)*-5)\/(-5)*-2. Which is smaller: v or -2\/27?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 1313.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 + 47 + 5*m**2 - 9*m + 8*m as h*m + p + r*m**2 and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzzvzpqtvqztpv. What is prob of sequence qv?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -575270 - -0.204.\nAnswer: -575269.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -152 (base 7) to base 9\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 10298*c + 2. Let j be w(1). What is j rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9090.164us in nanoseconds?\nAnswer: 9090164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**3 + 336*s**2 + 11110*s - 249000 = 0. What is s?\nAnswer: -100, -83, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22651 (base 15) in base 10?\nAnswer: -109426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*d + 76 - 40 + 18 - 55.\nAnswer: 146*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001943415 rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3. Let u = 4 + k. Suppose 0 = g - 0*g - u. Solve g*t + 2 + 18 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 4*r - 624, -6*r + 11*r - 144 = -b. Suppose -x - 607 = -b. Is 30\/105 - x\/(-14)*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v. Let m(s) = 25*s**2 - 15. Let u(j) = -26*j**2 + 13. Let a(o) = 6*m(o) + 7*u(o). Calculate a(g(q)).\nAnswer: -512*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -11*l - 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**6\/240 - 3*m**5\/80 + m**4\/8 - m**3\/3 - 2*m. Let g(c) be the second derivative of x(c). Suppose g(d) = 0. What is d?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3245 + -3242. Solve b - l*b - 13 = 5*t, 5*t + 5*b + 10 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 16. Suppose u = o*v, 0*u - 12 = -2*u - 4*v. Suppose -u*b = -4*y + 188, -4*y - 3*b + 119 = -2*y. Does 26 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -f + 5*g - 10185, 0 = -f - g + 2547. Round f to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 14*t - 20 = 0. Solve 2*f + b + t = 0, 2 = f - 2*b - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -24 (b) -3 (c) 0.3 (d) 2165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-12)*(2 - 254). Let k = -88 + r. Suppose 2*h - k = 366. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 407\/(-55) + 2\/5. Let i be 3\/o + 1056\/14. Let s be (1 + 11\/(-14))*4\/i. Which is bigger: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**4 - 293*i*l - 2*l + 211 with respect to i.\nAnswer: -4*i**3 - 293*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 - 42 = -4*g. What is the units digit of (-5)\/(-15)*-3 - g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4\/8 + 120*k**3 + 1911*k**2\/8 + 477*k\/4.\nAnswer: 3*k*(k + 1)**2*(k + 318)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5414 + -1263. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139 + -127. Let p be 5\/(z - 7) - (2 + -9). What is the greatest common factor of p and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -330.86404 - -309.46. Let o = -21.4 - c. Round o to four decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 10*x + 5*x - 3706, 0 = 5*i + 4*x - 9298. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 694.143608 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 37 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 + 118. Let c be (-72)\/(-8)*(-1)\/(-3) + -344. Let k = 355 + c. Calculate the remainder when v is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31021?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(51)\/(sqrt(6)\/sqrt(2)*-2)*5.\nAnswer: -5*sqrt(17)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**2 - 1886. Let p(b) = 7*b - 16. Give p(r(k)).\nAnswer: 14*k - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 56693, 56793, 56893, 56993, 57093, 57193?\n\"Answer: 100*r + 56593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.2026 - 0.0626. Round r to zero decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*g - 9, -2*w + 16 = -g + 5*g. Suppose -12 = -w*p + 2*p, 8 = -2*u + 4*p. Let f(z) = 3*z + u - 4*z - 1. Calculate f(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y - 2446 + 2082 = 0 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3847.425 centuries in decades?\nAnswer: 38474.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0.016944969.\nAnswer: -1.983055031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.4 (b) 164 (c) -1 (d) 3\/4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*o + 1. What is the units digit of (-1 - 0)\/o*9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/95 and 10\/209.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 - 1. What is the nearest to r in 7, -4\/5, 5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23.8 - 16. Let g = 8 - l. Let i = -0.0198 + 0.0198. Which is the nearest to -14? (a) g (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 875 divided by 97.\nAnswer: 875\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-10)*g**(-1\/9)\/g*g*g**(-2)\/((g*g**(2\/13))\/g*g) assuming g is positive.\nAnswer: g**(-1552\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 9*t - 33. Suppose -3*u + t*h + 27 = 0, -u + 3*h = u - 23. Solve 0*o - u*j = -2*o - 12, 5*j - 1 = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-11)*c**(1\/4))\/((c*c**7)\/c**12))**(-14) assuming c is positive.\nAnswer: c**(189\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1102201 (base 3) to base 6\nAnswer: -4501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2643)\/((-12)\/4)*16977. Let l = 22056737 - k. What is l rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c - 9. Calculate the remainder when 20 is divided by d(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77.24 - 79. What is c rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 13 = 3. Suppose -3*m + r = -2*m. Let o(v) = -2*v + 2. Let l be o(-2). Solve 0 = 2*c - l*c - m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9042002 rounded to the nearest ten thousand?\nAnswer: 9040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -5 + 5 + (-39 - -13)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from tltz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s + 4*s)*(-1 + 3 - 1) + 6*s - 2*s - 2*s + 1 - s - 1 + 55213 - 1656*s - 55213.\nAnswer: -1653*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 28 = -4*p, -p = b + 6567 - 6575 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48)\/(-288) - 2\/(10 + 2). Solve 3 = -g*f + f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -257*d*f**2*o**3 + 2*d*f**2 - 3*d*f*o + 3*d*o**2 - 2*f**2*o**2 wrt o?\nAnswer: -1542*d*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 5\/84717286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*y. Suppose -3*a - a + 140 = y. Solve 5*v + a = -3*s, -4*s - 15 = -v + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, -0.2 in ascending order.\nAnswer: -8, -4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 22*h + 27*h = 0, -3*a + 4*h = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 6 + 18 + -20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(-i**2 + 3*i**2 + 0*i**2) + (0 - 2 - 4)*(2 + 3 - 3)*(-2*i**2 - i**2 + i**2).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 646344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4) + 1 + (-11 - 10 - -14)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 1 = 4*j, 5*k = 4*j - 389. What is the tens digit of k*1\/(-3)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8982 = 54*b - 48*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3939 + 3941. Solve 7 = -2*f - m*d - 1, -5*f - 2*d = 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1127 and 1862.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 49929429 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 6. Let b be l(-8). Let a(y) = y + 1. Let v be a(b). What is the third smallest value in 1, v, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from jvvjjjjvjvjjvvvvjvvv.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i - i**3 - 255 + 8*i**2 - 3*i**3 + 589 - 6*i**2 + 3*i**3 in the form g*i**2 + d + m*i + w*i**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 258\/40 - 5 - 4 and (-2)\/(44\/(-61))*(-2)\/4.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*p + 19. Suppose 2*n - 223 = -4*i - 13, 5*i - p*n - 235 = 0. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-44\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 446\/15 - 27251\/915. Let b = 180 - 179. Which is greater: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/60)\/(2\/10)*(-9)\/96.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 10*b - 1. Let j(l) = -19*l + 2. Let p(c) = 4*j(c) + 7*q(c). Let w(k) = 6*k**2. Calculate p(w(m)).\nAnswer: -36*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 7 + (-1 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -18745\/2*y**4 - 5\/6*y**6 - 661010\/3*y**3 - 1212505\/2*y**2 - 149*y**5 - 588245*y - 31. Factor k(d).\nAnswer: -5*(d + 1)**2*(d + 49)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -147.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9593*19.\nAnswer: 37.2267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/3)\/d*d*d)**36*((d*(d*d**0*d)\/d*d)\/d*d)\/(d*d*d\/((d\/(d**(2\/7)*d))\/d*d)*d*d) assuming d is positive.\nAnswer: d**(656\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 13*g**5\/60 - 3*g**2. Let w(t) = 7*t + 5. Let y(p) = 4*p + 3. Let o(d) = 3*w(d) - 5*y(d). Give o(b(f)).\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*a + 6107 = 4*a, 0 = -2*c - 4*a + 12232. Suppose -c = -9*f - 602. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.69 + -0.69000248. What is a rounded to 7 decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = j + 2, -4*j - 3*f - 2 = -f. Let p(o) = o**2 - 2*o + 4. Let g be p(j). Solve -g*v - 3 - 3 = -2*k, 4*k - 5*v = 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6319*a**2 - 1598*a**2 + 3561*a**2.\nAnswer: 8282*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + g + 1. Let i(o) = -2*o**3 + 4*o**2 - 4*o - 3. Let b(l) = -i(l) + n(l). What is b(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzzttttztpttptty. What is prob of sequence yp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 11:34 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t**2 + 17*t + 3. Let f(h) = 166*h**2 - 17*h - 85*h**2 - 86*h**2 - 4. Let a(w) = 3*f(w) + 4*s(w). What is the second derivative of a(d) wrt d?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q. Let h(l) = -3*l - 46. Let k be h(-14). Let u be (k\/16*q)\/(-1). Solve -a - 3*a = u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 48516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4ba - -5?\nAnswer: 4c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/60 and 19\/21.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17242 - 228*t + 17242)*(1 - 2 - 2)*(-3*t - t + t + (-4*t - t + 3*t)*(1 - 2 + 2) - t + 0 + 0).\nAnswer: -4104*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4564305 a multiple of 796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.118? (a) 2\/13 (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347 + 41 = 4*a. Suppose -a + 17 = -8*q. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3, 87, 323, 789, 1563?\n\"Answer: 13*r**3 - 2*r**2 - r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - h**2 + 14*h**2 - 7*h**2 + 2*h + (-8*h + 2*h + h)*(h + 2 - 2) as v*h + r + o*h**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 - -67.72. Which is the fourth smallest value? (a) f (b) -2 (c) -0.4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-33)\/44 - (2841\/(-12) - 2) is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 13 = -p, -w + 17*p = 12*p - 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-5)*(2 + 2 - -1). What is n rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1034751 to the nearest ten thousand.\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 11. Let b(q) = q + 1. Let v(a) = -2*b(a) + x(a). Let y be v(7). Suppose -y*n = -n. Solve -m = -n*l + 3*l + 4, 0 = -3*m - 2*l + 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5274 - -5274. Let n(t) be the first derivative of 11 - 1\/3*t**6 + 0*t**4 - 2\/5*t**5 + 0*t + h*t**3 + 0*t**2. Factor n(z).\nAnswer: -2*z**4*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -263*m**5 + 2*m**4 + 69*m.\nAnswer: -5260*m**3 + 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446 - 446 - 56*r**3.\nAnswer: -56*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4662\/27)\/74)\/((-2870)\/20).\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 180 or 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y - 3. Let d be (3 + y)\/(-1 + -3). Put 6\/13, 4, d in descending order.\nAnswer: 4, 6\/13, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5*-4.03.\nAnswer: 6.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30045210 a multiple of 2689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 152076 divided by 276?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -17. Suppose -6*i = -5*i + f. Let w be (i - 7996)*19*-25. Round w to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 40*j**2 - 156*j + 941. What is the remainder when 187 is divided by c(-44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 + -137\/2. Let q = -662\/105 + 32\/5. What is the nearest to i in 0.4, 0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/26262 and -52\/13131.\nAnswer: 26262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j - h - 17 = 0, -3*j = -5*h - 19. Let w = -155 + 166. Let p(n) = n**2 - 13*n + 26. Let v be p(w). Solve -j*a = 3, m - 5*a - v = 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-18) - (-34)\/9. Suppose h + 1 = v. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256 + 280 = -8*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 1)\/((-18)\/27) + 1. Let n be -3 - (s\/16 + (-399)\/12). Factor n*x**2 - 14*x**2 - 3*x**2 + 7*x**2 + 5*x**3 - 25*x.\nAnswer: 5*x*(x - 1)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 67, -3 in increasing order.\nAnswer: -3, 3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77450 - 77447. Suppose 4*a - 8 = 3*f + 5, -3*f + 11 = 2*a. Solve -5 = -p*b + a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1 + 3 = 0. Suppose -2*n = -3*p - 0*n + 5, 0 = -4*p + 4*n + 4. What is the remainder when -2 + c - -3 - -2 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9018755 millilitres in litres?\nAnswer: 0.0009018755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 0.144 (c) -0.3 (d) -1 (e) -3\/4 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 6 = 0, -2586*r = -2585*r + 2*u + 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**3 - 5*m**2 + m + 2. Let n(q) = 8*q**3 - 15*q**2 + 3*q + 7. Let h(w) = -4*n(w) + 11*p(w). Let k = -8 + 34. Let y = 21 - k. What is h(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/6 (b) 0.3 (c) 83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.2 + 3. Let h = d + 1.27. Let y = 4.93 + h. What is the closest to 0 in -1, y, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(1512\/(-6504)) - 32\/(-36).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**4 - 2*b**4 - 4*b**4)*(0 + 1 - 3)*(0 - 2 + 0)*(-3*b - b + 5*b)*(-1 + 0 + 0).\nAnswer: 8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/280 - 8951\/840. Which is the second smallest value? (a) 1 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-1 - 1 - -31). What is the greatest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 6\/(-12)*(-5 - -13). Is d greater than or equal to -109\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5608.4 + 5607. What is the closest to 1\/2 in m, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + z. Suppose 2*d - 10 = -3*d. Let m(r) = -5*r**2 - r + 1. Let g(y) = d*q(y) - m(y). Is 14 a factor of g(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 + 113 - (0 + (-1 - -5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199, -196, -179, -142, -79, 16, 149?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -548\/5, 0.8, 2, -10 in ascending order.\nAnswer: -548\/5, -10, -3\/2, 0.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/10 + 446\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4791 + 4791.1. Are z and -52 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -16\/7 (b) 2 (c) -5 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 10*p**2 + 492*p + 110. Let y be q(-49). Solve -6 = 6*t - y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 g, and 1 b when three letters picked without replacement from {b: 1, x: 1, g: 1, d: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1.8. Let z = n - -2.4. Let v(j) = 2*j**3 - 7*j**2 + 3*j - 2. Let i be v(3). Sort -3, i, z in descending order.\nAnswer: z, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 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: Let o(j) = 54*j + 4 - 8 + 5. What is the remainder when o(3) is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.033 + -0.033. Let g = -11 + 6. Which is the closest to f? (a) 3\/5 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18018 and 2220855?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1235359, 2470718, 3706077, 4941436, 6176795?\n\"Answer: 1235359*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((20\/15)\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*g - 5*g - 8*g + 6*g to d*g + h and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212, -316, -420?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 306*c**3 - 191*c wrt c.\nAnswer: 1836*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, f: 1, d: 1, g: 4, h: 1}. Give prob of sequence gxh.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 6. Let p(i) = i - 5. Let y = 15 + -19. Determine y*p(n) + 3*c(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8598\/31 or -276?\nAnswer: -8598\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/1)\/2)\/(1\/7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41505 (base 8) to base 3.\nAnswer: 212121211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - ((-18)\/(-45) + -1 + -1). Let f be ((-1)\/(-175))\/((-28)\/70). What is the second smallest value in f, q, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 845104534 divided by -6?\nAnswer: -422552267\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = k, -2*k + i + 3 = 4*i. Suppose -s + 3*s - 6 = k. Factor 28 + s*l - 22 - l**2 - 2*l**2.\nAnswer: -3*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -18) + (3 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -5. Let d(z) = -9 + z**m + 0*z - 10 + 2*z + 13*z**2 - 2*z**3. What is the units digit of d(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 67 + 10d?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - 1 + 1)*(-3*h**2 + h**3 + 3*h**2) + 1382 - 1382 + 4485*h**4 + (-h + 1 - 1)*(3*h**3 + 0*h**3 - 4*h**3).\nAnswer: 4482*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24945233?\nAnswer: 19, 1312907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1659 + -11635\/7. What is the common denominator of f and (-2)\/(-11) - (-970)\/(-132)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 184, 179, 172, 163?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47 or 193\/4?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 191, 7, 1, 4, -1 in descending order.\nAnswer: 191, 7, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 32779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r = 4*r - 28*r - 624 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -8*w**2 - 2*w - 1. Let y = 3 + -4. Let r be l(y). Let z = r - -13. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + x - 18 = w, -3*x = -3*w + 60. What is the remainder when 93 is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 3*m**2 - m - 4. Let z be v(-3). Let l(a) = 2*a**2 - 2*a + 2. Let o be l(1). List the prime factors of o*((-9)\/(-2) - z).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 6. Let n(i) be the first derivative of i**2\/2 + 5*i - 6. Give -5*b(u) + 6*n(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259635.\nAnswer: 3, 5, 19, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 862298*t**3 + 10604*t**2 - 10604. Let c(z) = 488*z**3 + 6*z**2 - 6. Determine 5302*c(f) - 3*d(f).\nAnswer: 482*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -40. Let v be (1 + 5\/(-2))*y. Calculate the greatest common divisor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5225, 5224, 5223, 5222?\n\"Answer: -p + 5226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-5))\/(-3) + (-76)\/20. Let n be f\/(-12)*0 - 0\/3. Let j be 1\/3 - (-8)\/3. Put j, n, -4 in descending order.\nAnswer: j, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2054 - -26614\/13. Let q = 90\/13 + l. Let d = 6215\/19 - 327. What is the second biggest value in -0.3, q, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3\/3 - 238403*g**2\/3 - 14209116803*g\/3 - 14208878401\/3 = 0. Calculate g.\nAnswer: -119201, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 - 1700*v**3 + 5124*v**2 - 5132*v + 1712.\nAnswer: -4*(v - 1)**3*(v + 428)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 52*j - 12 = -49*j, 4*h + 2*j + 8 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/((21\/(-9))\/7). Let s be (d\/(-15))\/(8\/(-20)). Suppose -r + s*r - 1043 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 - 10*x**2 - x**2 as a*x**2 + u + o*x and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5830542 and 971757?\nAnswer: 5830542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 26610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -208*m**2 - 184*m + 19. Calculate c(-4).\nAnswer: -2573","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Let o = 102532 - 13691. What are the prime factors of o?\nAnswer: 73, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 64992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/38? (a) 3 (b) 2 (c) -0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 2*b**2 + 2*b. Let c = 50 + -48. Suppose t + 4*x = 3*x, 5*t + 6 = -c*x. Does 3 divide j(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z - 2*z)*(-4 + 0 + 1) + 6*z - 2 + 29 - 20.\nAnswer: 12*z + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 116972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 8082.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0 - 2)*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115 - 112. Solve -b*h = m + 4*m - 13, -5*h - 25 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from zihigcgiiz.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500*a - 5*o - 140 = 499*a, 5*a + 4*o = 497. Solve -13*j - 2*j = a for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 6*c**2 + 26*c - 45. Let j be z(6). What is the highest common factor of j and 481?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 10:03 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -4. Calculate the smallest common multiple of v and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5833*n - 583302. Determine j(-100).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1118 is divided by 4\/46 - 21960\/(-1380)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 5*s + 3*c + 9, 3 = 5*s - c. Suppose 5*n + 5*u - 130 = 90, s = -n + u + 40. Let l = n - 25. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16043*d**3 - 11*d - 878 wrt d?\nAnswer: -96258*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 161 times 3845\nAnswer: 619045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -117*j**8\/112 + 2*j**5\/15 + 10*j**3\/3 - 7*j**2 - 8. What is the third derivative of n(t) wrt t?\nAnswer: -21060*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 13, 0.2, 0, -0.7687, 2\/9, 3\/5, -3\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3794472.\nAnswer: 2, 3, 11, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v**2. Let g(i) = -774*i + 1. Give g(c(r)).\nAnswer: -5418*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17438034 and 2162.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 0, -27, -110, -279, -564, -995?\n\"Answer: -5*j**3 + 2*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -1585.4.\nAnswer: -1585.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**3 - 5*n**3 - 3*n**3)*(22*n + 37*n + 5*n - 4*n + 3*n - 5*n + (1 - n - 1)*(-2 + 2 - 2)).\nAnswer: -240*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -68, 21, 306, 877, 1824, 3237?\nAnswer: 5206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72692304 or 72692307?\nAnswer: 72692304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 611735.9ns to seconds.\nAnswer: 0.0006117359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126281551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 1:55 PM?\nAnswer: 551","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -31431 - -31302.71. Let i = s + 129. Let l = i - 0.31. Put -0.4, 2, l in decreasing order.\nAnswer: 2, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 - 3*y. Let u be d(-2). What are the prime factors of 7\/2 + u\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**2 - 3 - 8*c + 0 - c**2 + 5*c**2. Let f be y(-10). Let z = f - 79. Calculate the remainder when z is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022021022212102 - -2?\nAnswer: -10022021022212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 28713*b + 15. What is u(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 16*o + 77. Calculate the remainder when 74 is divided by r(-13).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3240230 divided by 2.\nAnswer: -1620115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*d + 2*b + 12, -d - 3*b = -4. Let o(q) = -q**3 - 7*q**2 + 8*q + 6. Let v be o(d). Solve -u - 20 = -v*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22726141?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k + 45 = 45 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*x + 290*x + 48*x**2 - 855*x + 270*x.\nAnswer: 48*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44197005?\nAnswer: 3, 5, 2946467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 504048 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b**2 - 151*b + 52. Give a(-38).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -126951433 rounded to the nearest 100000?\nAnswer: -127000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l + 5. Suppose 4*z - 14 = 114. Suppose -22*j + 26*j = 5*s - 40, 0 = -2*j - 5*s + 10. Let g(t) = -20*t + 32. Calculate j*g(d) + z*n(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1008) - sqrt(1008)) + 1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*t**3 - 4*t + 8*t - 5*t - t to b*t + u + h*t**2 + n*t**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 13*h - 20295. Is 123 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11239, 17199, 23159, 29119, 35079?\nAnswer: 41039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -328*z**3 + 25*z**2 - 17. Let n(v) = -109*v**3 + 9*v**2 - 6. Calculate -6*a(m) + 17*n(m).\nAnswer: 115*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(((-216)\/60)\/(-2))*(-6)\/28.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32 or -4\/22123?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3780 + -1714. Find the third derivative of p*n**5 + 5*n - n**2 - 2321*n**5 + n - 4*n**2 wrt n.\nAnswer: -15300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -48 in 0.4, 1, 0.1, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.0667?\nAnswer: -0.2001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1686, -3322, -4908, -6444, -7930?\n\"Answer: 25*b**2 - 1711*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w - 2. Let m = 22 - 15. What is the remainder when m is divided by f(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 - 25*o - 13. Let b be g(9). Let w(s) = -13*s - 1. Let d be w(-2). Calculate the highest common divisor of b and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4397.21 rounded to the nearest one hundred?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 66*t**3 + 2*t**2 - 66*t + 447. Let v be x(5). Which is greater: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 236?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -125*v + 102*v - 52 + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3438360*i**2 + 1719700*i?\nAnswer: -6876720","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -13.2. Let k = -19 - o. Let y = k - -3. Which is the nearest to -1? (a) y (b) -2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 925037 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -396, 926 in decreasing order.\nAnswer: 926, -2, -396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1241 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 11022102234?\nAnswer: 11022102224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 6*z**2 - 8*z - 46. Let l be h(-3). Sort -0.08, 7, l in decreasing order.\nAnswer: 7, l, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 9. Let k be p(-7). Let i(m) = m + 1. Let w be i(k). Suppose 0 = u - 3*q + 3 - 6, 2*u + 5*q + 5 = 0. Solve -y + w - 2 = u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351578417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - -2*sqrt(2299)*4 - -2*-2*sqrt(2299))*3.\nAnswer: 165*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - l - 1 = -0, -l = 1. Suppose s = 2*g - 5 - 9. Suppose 5*x - 2*o - g - 15 = 0, 16 = 4*x - 2*o. Solve -x*a + 2 = -4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 414409488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-32) + 15\/4. Let g be (-21)\/(-6) - 3\/6. Suppose -3*u + 21 = -5*y, g*u + 2*u + 2 = -x*y. Let k(z) = z**3 - 2*z**2 + 4*z - 3. Calculate k(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 25871936*k + 9. Let b(c) = -2*c. Calculate q(b(f)).\nAnswer: 4*f**2 - 51743872*f + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-4)*(-118)\/295.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*a - 15, 5*a - 33 = 2*g - g. Suppose -2*p + 4*s = -0*s - 20, -5*s = p + 18. Let b be 54\/10 - 2\/5. Sort p, b, a in increasing order.\nAnswer: p, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o + 2. Let w be (-1 + 5 + -6)*-1. Give g(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 5, -167, -11766?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 290559 and 345?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w - 8 = 0. Let q(u) = 7 - 15*u - 1 - 11 - u**w. Let r be q(-14). Calculate the greatest common divisor of 6 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 4. Suppose -4*g = 5*v - 20, 3*v - 2*g + 3*g - 19 = 0. Suppose v = 5*h - 22. Let r(q) = -q + 3. What is h*r(o) + 5*p(o)?\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -18*d**3 - 13*d**2 + 34*d + 181. Is y(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -45*r. Let t(u) be the third derivative of -5*u**4\/6 + 17*u**3\/3 - 18*u**2. Let z(v) = -7*v + 12. Let c(d) = -6*t(d) + 17*z(d). Determine c(g(l)).\nAnswer: -45*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467739796?\nAnswer: 2, 19, 6154471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -274709.3 or 3\/2?\nAnswer: -274709.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 874 less than 971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 21*h - 1759*h**3 + 19*h + 1 - 1.\nAnswer: -1759*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2400077 (base 10) to base 13.\nAnswer: 660584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 11)\/(3\/((-36)\/(-4)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 69077aab?\nAnswer: -69077ab1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-16) - (-43)\/(-3096)*-9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*d**3 + 40*d**3 - 6*d**2 - 12*d**3 + 1 + 12*d**3 - d**5 wrt d?\nAnswer: -60*d**2 + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/94 and -7 + 261\/108 + -8.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1135, -0.1229, 7 in descending order.\nAnswer: 1135, 7, -0.1229, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 18. Let i be 32\/(-18) - f\/(-90). Let u be (-2)\/(-4) + 9\/2. Which is the nearest to 1? (a) i (b) u (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z. Let x(d) = -2*d - 10. Let k be x(-5). Let o(b) = k*b**2 - 2*b**2 - 4*b + 4*b. Determine q(o(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**6\/24 + 4*j**5\/3 + 205*j**4\/8 + 165*j**3 - 5586*j**2. Factor t(h).\nAnswer: -5*(h - 22)*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/((-672)\/14112*63\/(-51)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 725*b - 2164. What is d(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9525907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 84920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.27783 * -0.4\nAnswer: 0.111132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j + 2. Let g(n) = 6*n - 2. Let i(m) = -4*c(m) - 3*g(m). Determine i(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -86.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95152, 95223, 95294, 95365, 95436?\nAnswer: 95507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**2*z**3 - 5*m**2*z**2 - 204*m*z**2 + 29*m*z - 9*m + 2924648*z**4 wrt z.\nAnswer: 12*m**2 + 70191552*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 2.9. Let y be (-2)\/(-7) + 1 + 45\/(-35). Which is smaller: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10606 times 0.3?\nAnswer: -0.031818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (138\/(-6210))\/((-2)\/(-18))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**28*b)**(-31) assuming b is positive.\nAnswer: b**806","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9651722 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -1\/5, 6, -5.2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-30) + ((-240)\/(-25))\/12)*6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12859.3 days in hours?\nAnswer: 308623.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3061824 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 4\/(1 + 11)*0. Solve 107 - 113 = i*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/((i*i**0)\/i)*i*i)*i*i*i\/i**(1\/4)*i assuming i is positive.\nAnswer: i**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 705 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*v = 0, z - 8*v + 12*v + 6 = 0. Suppose s + z = -i + 1, -9 = 4*i + 5*s. Solve -3*t - 30 = -5*b, 0*b + i*t + 35 = 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(98) - (-2 + sqrt(98))) + -4)**2 - -1*(sqrt(98) + 1)).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d. Let k(i) = -i**2 - 4*i - 4. Let v(w) = 5*w**2 + 25*w + 25. Let t(a) = 25*k(a) + 4*v(a). Determine u(t(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21161*m - 23424?\nAnswer: -21161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 29.9. Let r = o + -4. Let w = 129 - 124. Which is the second biggest value? (a) 3\/2 (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbjdjpppb. Give prob of sequence pdbb.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 69 + -65 + -2 + 0\/(-1). What are the prime factors of (-1130 + g)\/(33\/(-44))?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 5*m = 56, 5*m + 405 - 459 = -2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 3 (b) -1\/9 (c) 2\/157 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from enzn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 5*i - 17. Let z be o(-10). Which is smaller: -68 or z?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 321 and 642?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -929 greater than or equal to -929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3378 - 3358. Calculate the remainder when 39 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**4\/24 + t**3\/6 - 2127*t**2. Determine d(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.897743 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l\/((l\/(l**(-9)*l))\/l))*l*l*l*l*l**(-1\/2)\/l*l*l)\/(l*l**(-13)*l*l\/(l\/l**7)) assuming l is positive.\nAnswer: l**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 13\/5*l**2 + 2\/5*l + 0.\nAnswer: -l*(l - 1)*(15*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 4, -3*k - 2*k = 2*c + 2. Let t be (46\/6)\/((-2)\/(-18)). Suppose -c*o + t + 7 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.7 + 3.7. Is -27 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -19*x**2 - x. Let q be b(2). Let h be q\/(-297) + 4\/22. Factor 2\/9*a**5 + 0 + 2\/9*a + 0*a**4 - h*a**3 + 0*a**2.\nAnswer: 2*a*(a - 1)**2*(a + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 296 and 27380?\nAnswer: 54760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -10. Let u = -2.5 - -2.44. Let j = u + -0.34. What is the second biggest value in j, -0.8, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.16 (b) -83 (c) -2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*f**3 + 4*f**4 - 2 + 2*f**2 - 47*f**3 + 103*f**3 + 6*f in the form c + g*f**4 + r*f**2 + p*f**3 + u*f and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**5 + 12*m**4 - 4*m**3 - 12*m**2 + 8*m = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8788740 a multiple of 571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*3\/9*-15. Put l, 4, 3, -18 in descending order.\nAnswer: 4, 3, l, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 w when three letters picked without replacement from bohbhwbbobooowbbw?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1228 = 4*r - 3104. Let o = r - 633. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 u, and 1 v when four letters picked without replacement from {h: 1, v: 2, a: 1, c: 2, u: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 8) to base 10.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4661182 millennia to centuries.\nAnswer: 4.661182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.1.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1388 + 992 = -12*n. Suppose -120 = -27*j - n*j. Calculate the remainder when j is divided by (0 + 2\/(-2))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28*7\/(-28) + (-4 - -2) + -37?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -181, -593, -1705, -3865, -7421, -12721, -20113?\n\"Answer: -58*l**3 - 2*l**2 - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55 + 847*c**5 - 4*c**2 + 408221*c**3 - 408221*c**3 wrt c.\nAnswer: 50820*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 1 - 8*b - 15*b.\nAnswer: -23*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345844 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 f when four letters picked without replacement from {l: 2, m: 1, d: 1, x: 5, a: 2, f: 2}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1406, 1405, 1404, 1403, 1402, 1401?\nAnswer: 1400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 7) in base 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (2 + -2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -2. Let r = -64.12905 - -0.15905. Let p = 64 + r. Sort 3, p, n.\nAnswer: n, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 183783407, 367566813, 551350219?\n\"Answer: 183783406*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, m: 13}. What is prob of sequence cm?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1286588606 divided by 3368033\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -59, -71, -77, -71, -47, 1?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 1\/4, -2\/1145, 0, 2?\nAnswer: -2\/1145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 23\/9314?\nAnswer: 23\/9314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57271?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxxx when four letters picked without replacement from {s: 3, x: 15}?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + m - 20. Let u be l(0). Let w be ((-32)\/u)\/(-2*(-2)\/20). What is the remainder when 43 is divided by (-8)\/5*6\/w*-10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53171.25kg to micrograms.\nAnswer: 53171250000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -s + 16, 3*s + 24 = -l + 3*l. Suppose 5*r = 10, 3*r = o - 0*o + 5. Calculate the highest common divisor of l and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8105*y + 144783 - 144783.\nAnswer: 8105*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2696*a + 6. Let l(r) = 603905*r + 1345. Calculate -6*l(g) + 1345*v(g).\nAnswer: 2690*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 - 54. Let f = 7 + -11. Let y = 3 + f. What is the closest to s in 5, 0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 4, -3, -4, -2.7 in decreasing order.\nAnswer: 4, -2.7, -3, -4, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Let b(p) = p**2 + 13*p + 11. Let r be b(-12). Let g be r*(2 - (22 - 3)). Solve f*s - 4*q + 3 = g, 4*s = -4*q + 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 1 - -2 - (461 - -5). Find the common denominator of 4\/5 and (((-645)\/u)\/3)\/((-10)\/(-8)).\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*v = 0, -2*v = o + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o + 8 = -26*o. What is the units digit of (-422)\/(-4) - 3\/o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -156 - -153. Put 5, j, -0.1 in descending order.\nAnswer: 5, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27698 - 27698.028519. Round k to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**2 + 9*r + 1. Let s(l) = 5*l**2 - 8*l - 2. Let i(p) = 3*b(p) + 4*s(p). Let q be i(6). Calculate the greatest common factor of 23 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 8*s**2 - 2*s + 1. Suppose -13*a + 8*a = -125. What is the remainder when a is divided by m(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 203*c + 229*c + 2 + 34*c - 86*c + 6 as k + h*c and give h.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -d + 38, -9 = -5*d + 1. Let b = 14 + s. Solve -1 = -2*w - x + 2, b*w + 4*x = 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 - (-1)\/4. Are h and 1\/70 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 364 = 20*l. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1619 + 3130. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*j - 5*p, -5*j - 11 = p - 4. Calculate the remainder when (6\/j)\/((-2)\/27) is divided by (13\/((-65)\/10))\/((-44)\/616).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136009, 272072, 408135, 544198?\nAnswer: 680261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1056\/(-880)*(-10)\/(-26).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 79*c**2. Let l = 9806 - 9805. Determine t(l).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 4. Let l(u) = -v*u + 67 - 67. Determine l(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130703671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/28840 and 107\/28281225.\nAnswer: 226249800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 4135 = 1255. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 4) to base 2.\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -2\/3, 12, -0.6?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/2 - ((-938)\/224 - -4). Is 3 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-22 + 46)) + 32?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1380 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 20*o - 2. Let g be x(2). Let q = g + -20. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 11\/336*m**8 + 0*m**3 + 0*m + 0*m**7 + 0 + 3*m**2 + 0*m**6 - 1\/12*m**4 + 0*m**5. What is the second derivative of y(t) wrt t?\nAnswer: 220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/(n*n**0)))**(-1\/5)*(n\/n**(-5\/4)*n)**(-4) assuming n is positive.\nAnswer: n**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*q**3 + 3*q**3 + 44*q**3 + 142*q**3.\nAnswer: 206*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 669.0466 days?\nAnswer: 963427.104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/15)*i*i*i**(-1\/3)*i**1\/(i*(i\/((i\/(i**(-4)\/i))\/i))\/i))**(4\/23) assuming i is positive.\nAnswer: i**(132\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -4*i - 25, -10*i - 2*n + 1649 - 1683 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*x**3 - 66*x**3 + 2*x + x**4 + 30*x**3 - 2 to g*x + y*x**2 + c*x**3 + l + o*x**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 2*g**2 + 8*g + 4. Let y be q(4). Suppose -3*t = -4*b - 110, -y*t - 4*b + b + 180 = 0. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9*w + 55. Calculate h(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmtjg. What is prob of sequence mk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1289549 is divided by 71641?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 5\/(5\/74). Suppose 3*o - n = 16. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 743*i = 702*i + 10416829. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 1546*b**2 + 3*b - 137. Let c(i) = 5*i - 11. Give c(r(h)).\nAnswer: 7730*h**2 + 15*h - 696","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 171076 + 171047 = 7*d, 0 = 5*b + 3*d + 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 942 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7680002*o**2 + 2. Let i be p(-1). Round i to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(2 - 40\/18). Let n = i + 18. What is the highest common factor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w + 15 = 0. Suppose n + d - 9 = -0*d, -7 = n - w*d. Suppose 5*f = n*a - 40, 7*a - 32 = 2*a + f. Calculate the remainder when a is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*r + 27 = 0, s + 8*r - 7*r - 4 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123\/5 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 0*a. Suppose a = 5*l + 3*j - 1 + 6, l = -3*j - 13. Solve 4*y - l = 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 1, 21.\nAnswer: 1, 3, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3256 is divided by 528.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3716*p**3 + 4*p + 341.\nAnswer: -22296*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 3*z - 2*z + 40, 50 = 5*h - z. Let s be (-4)\/(-6)*75\/h. Solve 61 = -s*o + 56 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-6)\/(-8) + 15903\/2356. Factor 1\/2*l**2 + 7*l + o.\nAnswer: (l + 1)*(l + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -543*j + 33319. Calculate y(61).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1031*y - 9. Suppose 28 = 4*b + c, 0 = b - 4*c + c - 20. Suppose -8*g = -2*p - 4*g - 4, 4*p + 3*g = -b. Is x(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -636341836893.37199366 - -636341616805.3. Let f = -220088.57 - p. Let n = 0.498 + f. Round n to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-6)*4*6\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**3\/3 - u**2\/2 - u - 2898. Determine m(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**2 - 299*g - 1014. Calculate c(80).\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3389, 4, -4, -18, 0 in decreasing order.\nAnswer: 4, 0, -2, -4, -18, -3389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4195*o*r + 34723*o + 312749108*r wrt o.\nAnswer: -4195*r + 34723","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + sqrt(612) + -3*sqrt(612) + 5 + sqrt(612) + sqrt(612) - ((sqrt(17) + sqrt(425))*-1 - (-4 + sqrt(51)\/sqrt(3))))*2)**2.\nAnswer: 104*sqrt(17) + 11496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c**3 - 2*c**3 + 5*c**3)*(1 + 2 - 6) - c + 2*c**3 + c to x*c + y + g*c**3 + q*c**2 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190708 is divided by 149.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e - c9?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 284 + 375?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 544864440 to the power of 1\/3, to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2564 and 628176154.\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*l*u**2*x + 2*l*u**2 - 219*l*u - 292*l*x - 59*l - u**2 + 203434*u*x - 3*u + 51 wrt x.\nAnswer: -3*l*u**2 - 292*l + 203434*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100 + 1101011010000101?\nAnswer: 1101011010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/6 and -29\/1026.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*t**5 - 371*t**3 - 2*t**2 + 40831*t - 2 wrt t.\nAnswer: -160*t**3 - 2226*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, f: 1, k: 8, w: 5, s: 1}. What is prob of sequence wwh?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -20*y**2 + 5*y - 7. Let r(d) = -3 + 3 - 2 - 4*d + 8 + 18*d**2 + d**2. What is 6*j(f) + 7*r(f)?\nAnswer: 13*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + 5*p + 5. Let o(k) = 4*k**2 + 6*k + 6. Let v(n) = -6*a(n) + 5*o(n). Let x(g) = -2*g. Give v(x(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27*s - 33*s + 22*s)*(12*s + 6*s + 8*s) to c + j*s + z*s**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 2*r - 23 = 0, -23*r + 26*r + 3 = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3230271 to the nearest integer?\nAnswer: 1797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 379 + -192. Let m(p) = -23*p + 132. Let l be m(-22). Let c = l - h. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2295, -5, -0.1, -1\/7, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1878*a*f**2 + 2*a*f + 2*a + 5*f**5 + 2*f**3 - f + 1562 wrt f?\nAnswer: -3756*a + 100*f**3 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.047 + 5.047. What is the nearest to 1 in -0.33, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128968 and 140483.\nAnswer: 7867048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3090, -6182, -9360, -12666, -16142, -19830, -23772?\n\"Answer: -7*v**3 - v**2 - 3040*v - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 3.53045569412.\nAnswer: 4.53045569412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - 17 = -101 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 1885?\nAnswer: -565.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -168\/11?\nAnswer: -168\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33.4 + 33.4. Let v = 3 + -2. What is the nearest to v in r, 8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 33, -4, -99, -270?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2823995 + 3066337 = 0. Let b = -88389287\/15 - t. Let p = 2282 + b. Calculate the common denominator of p and 89\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*u + 2*x + 9, -3*u + 6 = 2*x. Differentiate 11*f**u + 2 - 4 + 14*f**2 - 7*f**2 with respect to f.\nAnswer: 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 + -34. What is the highest common divisor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -411 (base 8) in base 11?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h + 3*h - 11*h**2 - 8*h. Let x(c) = 4*c**2. What is t(x(r))?\nAnswer: -176*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1048 - -2215. What are the prime factors of z?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -9. Suppose 0 = -q*g - 2*g. Suppose 0 = 4*s + 3 - 11. Solve g*y + s = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*v - 23 = -63, 2*a = 3*v - 7. Solve 2*z + a*h = 14, -h + 5 = 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x**2 + 24*x + 51. Let f be a(-2). Is f at least as big as 6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 + l**2 - 6*l**2 + 4*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 180402 less than or equal to 180318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 9:30 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28237, -114362, -258363, -460234, -719969, -1037562, -1413007?\nAnswer: -1846298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -641, -1277, -1911, -2543?\n\"Answer: p**2 - 639*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -2*o**5\/5 - 63*o**4\/2 - 28*o**3\/3 - 419. What is the third derivative of p(r) wrt r?\nAnswer: -48*r - 756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-2)*40\/70. Let x(s) be the second derivative of s**4\/12 - 7*s**3\/6 + 5*s**2\/2 - 27*s + 2. Calculate x(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587*z - 416*z - 20878 = 12221 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -30 - 10. Suppose -5*r + 2*b - b + 45 = 0, -4*b - 20 = 0. Calculate the highest common divisor of t and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 11:32 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4bee (base 16) in base 2?\nAnswer: -100101111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 887473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7}. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3127 - -5228. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008736026 rounded to seven dps?\nAnswer: -0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11987, 0.5, -15666 in ascending order.\nAnswer: -15666, 0.5, 11987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, b: 4, h: 1, p: 1, r: 3}. What is prob of picking 2 m, 1 b, and 1 p?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 6*a**5 + 156*a**4\/7 + 78*a**3\/7 - 36*a**2\/7 = 0?\nAnswer: -3, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 8*t - 4. Suppose -2*c + 18 = -5*c. Let z be j(c). Let f(v) = 7*v + 9. Is f(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 370 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -9*h + 22*h. Solve -9*y = -8*y + h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 331*l**5\/20 + l**4\/6 + 17*l**3\/6 - 191*l. What is the third derivative of y(x) wrt x?\nAnswer: 1986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/65 + 46\/1365. Let d be (6 - 2)*1\/(-2). Let j be 4\/(-14) - 8\/21. Which is the second smallest value? (a) d (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*3\/((-84)\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 35*h - 1 + 5 - 11 in the form k + p*h and give p.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(320)*-2 - (4*sqrt(320)*-1 + sqrt(320))) + (sqrt(320) + -1 + -4 - (sqrt(320) - (sqrt(320) + (sqrt(320) + sqrt(320)*-1)*3))))**2.\nAnswer: -288*sqrt(5) + 1361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - -4.2. Let s = t + 0.4. Which is the third smallest value? (a) s (b) -0.4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -10511.\nAnswer: 5\/10511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -797*n + 795*n = -6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akknamnm. What is prob of picking 1 n, 1 m, and 1 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 18\/5*105\/(-63)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -88 smaller than -90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 98757003797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 20*b**2 + 22*b + 23. Let l be k(-21). Suppose 3*p + 12 + 21 = 0. Let h = 12 + -8. Sort 5, h, p, l in decreasing order.\nAnswer: 5, h, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 6*c + 2. Let t = -18 + 13. Determine y(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (sqrt(304)*-2)**2 + -3 + -1*sqrt(304) + -1.\nAnswer: -4*sqrt(19) + 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**0)**30)**(-2\/69))**(-3\/20))**(-34\/3) assuming u is positive.\nAnswer: u**(-34\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*f + 2*w - 1691, 0 = -3*w + 15. Let z = f + 98. Suppose -b - 3436 = -z. Round b to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/2))**(19\/5))**(-3\/23) assuming c is positive.\nAnswer: c**(-57\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.35682 centimeters to kilometers.\nAnswer: 0.0003635682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 742 + -727. Suppose -4*h + 648 = -0*h. Calculate the remainder when h is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183945.\nAnswer: 3, 5, 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 2*j**2 - 138. Determine s(0).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 768*t**3 + 2612*t**3 + 1270*t**3 + 1273*t**3 + 550*t**3.\nAnswer: 6473*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -151428016, -151428015, -151428014, -151428013?\n\"Answer: c - 151428017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (104 - 125 - ((4 - 0) + -17))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41*b**2*w**2 + 2*b**2*w + 4*b*w**2 - 53*w**2 wrt b?\nAnswer: 82*b*w**2 + 4*b*w + 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 - (0 + -8 + 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, -5, -104, 1 in increasing order.\nAnswer: -104, -5, 1, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9360874cm to meters.\nAnswer: 0.009360874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**3 + 20*i**2 + 3*i - 25. Let c(j) = -j**3 + 5*j**2 + j - 6. Let s(l) = -9*c(l) + 2*f(l). Determine s(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 148 = -140. Is (-2)\/y*605306\/13 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7594 is divided by 1611.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n - 5. Let h(g) = 9*g - 9. Give 11*a(m) - 6*h(m).\nAnswer: -10*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10004, 10016, 10042, 10088, 10160, 10264, 10406, 10592?\n\"Answer: l**3 + l**2 + 2*l + 10000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 4*l**2 - l - 5. Let a(d) = d**2 - 5*d - 2. Let y be a(6). Suppose r = -y*m - 13, m + 4*r - 4 = 4. Give x(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000448782 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 14400.\nAnswer: 1\/2880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**5 + 14715*w**4 - 4801608*w**3 + 28456728*w**2 - 56678256*w + 37707120 = 0. Calculate w.\nAnswer: 2, 345, 4554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4) - 153\/6. Let g be (-2 - -6) + 80\/u. Put g, 1\/5, 8 in descending order.\nAnswer: 8, g, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*1\/(-1320)*(-30300)\/1010.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sszczsgzvsez. Give prob of picking 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -190890, -190888, -190886, -190884?\n\"Answer: 2*q - 190892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*h - 148 = 0, 4*h = d - 35 - 13. Suppose -f = -5*f + 128. What is the greatest common divisor of f and d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p**5 - 36*p**4 - 105*p**3 - 72*p**2 - 15*p = 0. What is p?\nAnswer: -1, -1\/2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.009 and -33313.\nAnswer: -299.817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5011, 4972, 4933, 4894?\nAnswer: 4855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 3*j. Let y = 2 - j. What is the derivative of -z**4 - y + 6 - 3 wrt z?\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 268 - 266. Solve -5*a = -t + 10, q*t - 35 = 5*a + 6*t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -3*y - 5*p + 71, -4*p = y - 54. Let k be (-23)\/46 + y\/4. Let g(x) = -4*x + 72. Is g(k) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4293?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19678 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -942326748 + 0.5\nAnswer: -942326747.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.2 (c) 8400 (d) 3\/11 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 6:26 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 209 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 439\/471 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1456039.\nAnswer: 13, 31, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 82404623\/6 or 13734103?\nAnswer: 82404623\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, z: 2, k: 1, t: 1}. What is prob of picking 1 c, 1 k, and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3556 + -3553. What is the closest to t in 0.1, -1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3306, -86.9, -2\/113 in decreasing order.\nAnswer: 3306, 3, -2\/113, -86.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*n = 0, -2*n + 9 = 1. Suppose -4 - x = -3*d. Suppose d*s - 7 = -p, -5*s = -p - 6 - 1. Solve 0*k - k - s = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3737463, -7474924, -11212385, -14949846?\nAnswer: -18687307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 112633355 to the power of 1\/3, to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 964\/(-10) + 7 + (-6)\/10. Let r = f + 96. What is the greatest common divisor of r and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)\/(sqrt(112) + (sqrt(112) - sqrt(112)*-1) - sqrt(112) - sqrt(112))*3)\/(2*-1*sqrt(80)*3))**2.\nAnswer: 3\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 11678*z**2 + 10*z + 5. Let f(c) = -27297324*c**2 - 23376*c - 11688. What is -5*f(y) - 11688*i(y)?\nAnswer: -5844*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(52) - (sqrt(52) - sqrt(832)))*-3*-2 + sqrt(52)*-2 + 2 + 2)**2 + 3).\nAnswer: -75561 - 1056*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -u + 2254, -6764 = 4*u - 7*u - 5*b. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1275) + sqrt(1275) + ((sqrt(1275) - sqrt(1275)*-2)*6 + sqrt(1275) - sqrt(1275)))\/(4*sqrt(75)*-1).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 4:23 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 88 = -4*a, -2*a + 4*v = 31 + 5. Let s = a + 40. Calculate the highest common factor of s and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.022 (b) 0.1 (c) -6 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 20199488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -625 and 33.\nAnswer: -592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 990 - 702 = 24*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26256 bigger than 26256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-8))\/(-3) - (-543982)\/(-269584)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 3 - 3)*(2 - 1 - 4)*(-6 + 4 + 1).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12350 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005033451 rounded to 7 dps?\nAnswer: -0.0000503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17\/293? (a) 2 (b) 0.5 (c) 4 (d) 0.2 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 s when three letters picked without replacement from {s: 2, m: 2, h: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-8)*(-15 - (11 + -26)) - 63?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 104*m**2 - 194*m. Let w(c) = -53*c**2 + 97*c. Let q(a) = -3*j(a) - 5*w(a). What is the second derivative of q(n) wrt n?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/108 and 19\/16.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1128)\/(-63) + 10\/105. What is the closest to 0.1 in 0.4, 2\/7, i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 - 3*b**2 - 30 + 30.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.601463 rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**15\/d)\/d)\/(d\/(d**(1\/13)*d)) assuming d is positive.\nAnswer: d**(170\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 6*x**2 - 15. Let y(o) = -2*o**3 - 13*o**2 - 31. What is 13*d(r) - 6*y(r)?\nAnswer: -r**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*p**3 + 18*p**3 + p**2 + 15*p**3 - 4*p**3.\nAnswer: 6*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-1\/5)*y*y*y*y*y)\/y)\/y*y*y*y**(-2\/5)*y)\/(y**(2\/7))**28 assuming y is positive.\nAnswer: y**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 6*v + 2. Let o be l(-6). Let z(u) = -u - 2. Let g be z(-5). Suppose 0 = 5*h - g - o. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-3))\/((-1)\/(-1)). Let j be (-1 - m) + (-4 - 1). Let l be j\/14*(-2)\/(-3). Which is the biggest value? (a) -4 (b) l (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244198 (base 13) to base 14.\nAnswer: 1877cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1243 + 1242.6. Which is the third biggest value? (a) 0 (b) 2 (c) -2\/117 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 times -0.0988?\nAnswer: 21.6372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -35 + (78 - 60) + -6\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*m - 89*m = 194*m + 385*m - 95616 for m.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 26. Let c be 7\/f + (1 - 1). Solve 1\/2*r - c*r**3 - 2*r**4 + 0 + 2*r**2 = 0 for r.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2) - 195\/210\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 - 22. Let t(l) = l**2 + 7*l - 7. Let q be t(-12). Let b = q - -28. What is the highest common factor of b and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (106 + -85 - 33) + -124.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4*(20\/(-40))\/((100\/(-31))\/(-10))\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/320 and -63\/3232192.\nAnswer: 16160960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 505643 (base 7) to base 14\nAnswer: 23523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - ((-325 - -346) + -3 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11, -348, -955, -1810, -2913?\n\"Answer: -124*t**2 + 13*t + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5123, -4472, -3821, -3170?\n\"Answer: 651*c - 5774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 15*a**3 + 11*a**2 - 9*a + 7. Let c(o) = 8*o**3 + 6*o**2 - 5*o + 4. Calculate -11*c(b) + 6*y(b).\nAnswer: 2*b**3 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, z: 1, x: 7}. Give prob of sequence xsx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13372284 is divided by 4457427?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -52558 times 29?\nAnswer: -1524182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38387.\nAnswer: 23, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 308.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.4? (a) 5 (b) -411 (c) 6 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2\/v)**(-44))**(-1\/2) assuming v is positive.\nAnswer: v**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o + 15. Let t be m(5). Suppose 7*y - 13*y + 1692 = t. Suppose 7*z = 5*z + y. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18846277?\nAnswer: 18846277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*j**2 - 7*j - 3 - 88*j**2 + 3 in the form m + x*j**2 + g*j and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000406 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 110 - 63. What is the remainder when h is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -154*x + 2326. Calculate w(15).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.12 and 0.479?\nAnswer: -4.36848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80050 and 460.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435 + 26*f - 6*f**2 + 5*f**2 + 896 + 21*f**2 - 461.\nAnswer: 20*f**2 + 26*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 6*u**2 - 5*u + 2. Suppose 3*z - 8 = 4*j, 0*z = -3*j + z - 11. Let t be g(j). Solve -2*a = t*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11 - -8) + 6 - -1) + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from {e: 4, p: 3, j: 1, n: 5}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -62, 2\/13, 5\/2, -1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9234 and 19494.\nAnswer: 175446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 39. Solve -3*h + z = -3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b364258 - 4?\nAnswer: b364254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) 13 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 - -1044?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (51917*x + 11304*x + 8031*x + 14440*x)*(4 - 5 - 1) as t + b*x and give b.\nAnswer: -171384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-6) - ((-2)\/20 - 24846\/(-6060))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76361111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from {j: 1, v: 4, g: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 5*v. Let d(f) = -3*f**2 - 14*f. Let c be ((-3)\/(-15))\/(-1) - (-155)\/25. What is c*d(y) + 17*a(y)?\nAnswer: -y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vttttttttvtvttttvt. Give prob of picking 2 v.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 129*q**3 + 239 wrt q?\nAnswer: 387*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**2. Let c(k) = -2*k**2 - 2*k + 15229. Give c(m(f)).\nAnswer: -50*f**4 - 10*f**2 + 15229","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -29350240?\nAnswer: -29350241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*1\/14*-12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*m - 1062 = 45*m for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -160)\/3*42\/(-13 - 1). 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 i = -14203 - -31060. Suppose 15*q - 423 - i = 0. Is q a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6\/19)*f**(-5\/2)*f*f*f*f**(-4\/3)*f**(1\/19) assuming f is positive.\nAnswer: f**(-125\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(228)*-2 - sqrt(228)))\/(sqrt(12) - (sqrt(12) + 6*sqrt(12)*-2)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 602\/68 + (-34)\/4?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (61 - 48) + (-7 + 16 - 21)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z - 11. Give f(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*u = 17563, -2*k + 69*u - 67*u = -7038. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-4*2 + sqrt(77))\/((sqrt(704) - ((sqrt(704) - sqrt(704)*-1) + sqrt(704))) + sqrt(704)))**2*1.\nAnswer: 343\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 616 divided by 4.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1886 (b) -5\/183 (c) 2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2438 = 1083*q - 1037*q. What is the highest common factor of q and 14522?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/3))**(6\/7))**(-1\/13) assuming h is positive.\nAnswer: h**(-2\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00077653177 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 12:18 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 128*h**3 + h**2 - 145 wrt h?\nAnswer: 384*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46956 = -2*i - 2*t, 2*t + 5211 = -i + 28689. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-one fifths of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16363229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 884 and 24726.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h = -25. Let j(l) = l**3 + 6*l**2 + 5*l - 3. Let o be j(h). Is o - 57*6\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*k**3 - 1 - 114*k**3 + 3.\nAnswer: -212*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 8*r - 10. Let o be n(4). Solve -o - 2 = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1138834836 to the nearest integer?\nAnswer: 33747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 843 a factor of 152917877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -58495, -86434, -114373, -142312?\n\"Answer: -27939*n - 30556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1793025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1106 (base 9) to base 6.\nAnswer: -3440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-9)\/(-24))*-2*120\/(-240).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-3 + 2 - -53). Let w be ((-18)\/(-4))\/((-42)\/(-56)). Calculate the greatest common factor of w and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221730 rounded to the nearest ten thousand?\nAnswer: -1220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -49 + 1 + -4 + -6?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -103, -145, -213, -313?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1736.892 rounded to the nearest ten?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by -17602.\nAnswer: 35\/8801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -249*c**3 + 1. Let x be l(-1). Suppose 3*t = -94 + x. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -87. Let v = t + 135. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*u + 3*a + 46, u - 17 = -4*a. Suppose 7*t - u*t = -2232. List the prime factors of t.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 8*r - 282. What are the prime factors of r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/sqrt(175) - sqrt(2))**2 - sqrt(2)) + 5*sqrt(8)\/sqrt(4).\nAnswer: 32\/25 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 205, -3 in ascending order.\nAnswer: -3, 4, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -626 = -9*l + 472. Suppose 0 = -r + 2*a + l, 2*r - 94*a + 91*a = 248. Let w = 11 - -2. What is the highest common factor of r and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4399.12 and 1259174.033.\nAnswer: 1263573.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-17) - 4 - (3 + -10) - 4. Which is the third biggest value? (a) f (b) -1\/8 (c) 1.1 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 2:25 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.37 - -0.5. Let d = y - -0.37. Let g(m) = m**2 + 7*m - 15. Let c be g(-9). Sort d, -2\/7, c in increasing order.\nAnswer: -2\/7, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/3))**(2\/19))**(-4\/21)\/(x*((x**(-2\/3)\/x)\/x)\/x*x*x**(2\/7)*(x**(-1\/4)\/x)**(-42)) assuming x is positive.\nAnswer: x**(-122459\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51811 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsrrlrrrrsrlrrsrsrs. Give prob of picking 2 s.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38, -148, -340, -620, -994, -1468, -2048, -2740?\n\"Answer: -n**3 - 35*n**2 + 2*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 15)\/3 - (-47 + 50)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 10*h - 15. Let z be g(-5). Let q(r) = -r**2 + 16*r - 28. What is the remainder when q(z) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 12)*(-1)\/4. Suppose -2*w - 36 = z*t, 5*w + 62 = -4*t - 12. Calculate the common denominator of (-46)\/(-28) - 2\/(-4) and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005291184888 rounded to four decimal places?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3311 divided by 43?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 182910\/17 or 10760?\nAnswer: 10760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 - 0.54. Let y(u) = 4*u - 3. Let f be y(1). Let g = -23\/76 + 1\/19. Put g, i, f in ascending order.\nAnswer: i, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p - p**3 + 3*p + p**2 + 14 - 16. Suppose 2*d + 18 = 5*d + 4*b, 0 = 2*d - b - 1. What is n(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 739 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 - 21 - 67)*(z - z - z**2) + 0*z**2 + z**2 + 0*z**2 + 0 + 0 + 2*z**2.\nAnswer: 150*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3239.4 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + -3 + (-20)\/(-5). Suppose -4*s = -8, 0*s + 78 = h*r - 5*s. What is the remainder when 394 is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 840037.4 centuries to millennia.\nAnswer: 84003.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3824 is divided by 1272?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from xyuuxyyxy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 2. Let r(h) = h**2 + 2*h + 1. Let n be r(f). Put -2, 4, n in descending order.\nAnswer: 4, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -286, -318, -152, 176, 630, 1174, 1772, 2388?\nAnswer: 2986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54 - (5 + -70) - (-3 - (-16 - 0))) + -61?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -44*s + 8*s + 18*s + 14*s**2 + 19*s - 2 - s**3. What is f(14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3246, 4116, 4986, 5856, 6726?\n\"Answer: 870*u + 2376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*j**2 + 140*j**2 - 75*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-4))\/(69\/2484). Suppose -b = 2*z + 2*b - l, b + 8 = 3*z. Solve -2*r = -z*m + 10, -5*r - 1 = 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24099 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -33*m - 7 + 47*m - 18*m. Let l be (-8)\/28 + 94\/(-14). Let w(d) = -d - 2. Let o(z) = l*w(z) + 2*u(z). Let s(g) = -13*g. Give o(s(b)).\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -272561 or -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 4*z - 5. Let f be b(-5). Let i = -121 + 133. Let u be 28*(-2)\/(-30) - i\/(-90). What is the third smallest value in f, 0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17125 and 34935.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*(576\/(-27))\/16?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**3\/3 + 8*x**2 - 17*x + 278. Determine y(13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 932478?\nAnswer: 2, 3, 155413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -30*d**4\/11 + 182*d**3\/11 + 18*d**2 - 14*d\/11 = 0. What is d?\nAnswer: -1, 0, 1\/15, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111120210 (base 3) in base 12?\nAnswer: 15156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 44 = -0*v. Suppose 5 = -v*l - 5*r, 4*l + 3*r + 11 = -0*l. Let q(a) = a**2 + 6*a - 7. Calculate q(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49457257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 353\/581 + -3\/83. Determine k so that -2\/7*k**4 + 6\/7*k**2 + 0*k**3 - a*k + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2120\/3 + (-2)\/((-36)\/6)?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 9, 0, 2 in descending order.\nAnswer: 13, 9, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 16*y**2 - 7*y + 21. Is a(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 386738813 to the nearest integer?\nAnswer: 19666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 19*w**4\/6 - 26*w. Let g(m) = m. What is f(g(l))?\nAnswer: 38*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1888777689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 0 - 5\/3*t**3 - 1\/60*t**5 + 2*t**2 + 0*t - 2\/3*t**4. Does 2 divide r(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.2 + 3. Let l = 1427492\/27 - 52870. Which is the nearest to 1\/4? (a) l (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + (-65 - -49) + -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3530608007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 0*n + 77400. Let w = n + 59700. What is w rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 5*o + 18 + 15, -t - 3 = 4*o. Let s = t - 5. Suppose -g - x = 2*g - 10, -s*g = 4*x - 16. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0 (c) 1\/4 (d) 2 (e) -249 (f) -51\/2 (g) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -11. Suppose 0 = -4*v + 2*c + 304, s*c = 4*c - 2. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 9*n = 135. Suppose 253 = 2*l - 99. What is the remainder when l is divided by n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0044346396 rounded to five dps?\nAnswer: 0.00443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 8, -3*m = -q - 6*m + 15. Solve -q*v = -16*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 0*t**2 - 11\/6*t**3 + 0 - 73*t. Let v(g) = -3*g**2. Determine s(v(n)).\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 25.999997. What is k rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2067, -8013, -18077, -32385, -51063, -74237?\n\"Answer: -21*u**3 - 1933*u**2 - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 0. Let w be -2 - ((-1 - k) + -4). Suppose u = 6*u - s - 34, -w*s = 3*u - 23. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332018014 to the power of 1\/2, to the nearest integer?\nAnswer: 18221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 200\/52 - 8\/(-52). Suppose 0 = q*c - 16*f + 15*f - 14, -8 = 4*f. Solve n + 5 = c*k, -3*k - 5*n - 25 = -6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7858787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 11:40 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1477433?\nAnswer: 463, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-14) + 4 + 66\/(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35223 (base 6) in base 15?\nAnswer: -1770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217, 336, 1371, 4006, 8925?\nAnswer: 16812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-18))\/(7\/(-42))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or -820?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 0)*(y - 2*y**3 - y) + 111*y**3 - 296*y**3 + 113*y**3)*(-60 + 60 - 84*y).\nAnswer: 6216*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.8 in 0, -1\/4, -2\/9, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krz when three letters picked without replacement from rnnkkzk?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (-28)\/(-12)) + 232\/3. Let y = i - 17. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s + 146. Let v be u(-28). Suppose -23 = -4*p - 5*k, 5*p = -k + 7 + v. Solve -3*m + 4 = -p*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 34 = 3*g - 0, -2*g - 2*d + 16 = 0. Let b = -4 - -2. Let p be (0 - 6)*b\/4. Is p <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 89.85035 centuries?\nAnswer: 8985.035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23373, 93640, 211081, 375966, 588565, 849148, 1157985, 1515346?\nAnswer: 1921501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*o*u - 2013*o + 17989*u + 1 wrt o.\nAnswer: 11*u - 2013","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2.5. Let u be (-3)\/6 - (-10)\/(-4). Let y be ((-12)\/(-10))\/(u\/10). What is the nearest to 0 in -5, j, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 22, 0, 1412, 4, -8, -1\/6 in ascending order.\nAnswer: -8, -1\/6, 0, 2, 4, 22, 1412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2054 + 8052 = o - 2*w, 5*o - 29950 = 2*w. Which is bigger: o or 5986?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 11:55 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2087.592ng to milligrams.\nAnswer: 0.002087592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 m, and 1 k when three letters picked without replacement from tktknnpkpmkp?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/5)\/k**(-2)*(k*k**(-11)*k)**0)**20 assuming k is positive.\nAnswer: k**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5 + u + 5*u + 8*u. Let d(i) = 13*i - 5. Let v(q) = -2*d(q) + 3*r(q). List the prime factors of v(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - p + 5. Let x(b) = -b + 16. Let s be x(13). Does 5 divide y(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/((y*y\/y**0)\/y))\/y*y**(3\/5))\/((y*y\/y**(-8))\/y**(-9)))**(-2\/21))**(1\/4) assuming y is positive.\nAnswer: y**(97\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1 = -5, 138 = 4*k - 2*l. Let u(i) = -28*i - 1 + 54*i + 2*i**2 - k*i - 5. Determine u(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6616)\/(-880) + (-4)\/220?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -577 + 7503\/13. Which is the closest to 1\/2? (a) n (b) -2\/7 (c) 5 (d) 16\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21345 divided by 10.\nAnswer: -4269\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/9))\/(u*u*u**4\/u)*u**(-8\/5)*u**(-2\/15)*(u\/(u**(4\/3)\/u)*u**(-1\/4))\/(u\/(u*(u*u*u*u**(-9))\/u)*u**(2\/5)) assuming u is positive.\nAnswer: u**(-2329\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0501101ms in minutes?\nAnswer: 0.000017501835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207 = 12*u - 33 - 516 for u.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34667881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 16. Let g(f) = -4*f + 49. Suppose 0 = -8*a + a - 49. Let m(b) = a*k(b) - 2*g(b). Let h be m(-12). Solve h*i = -0*i + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 6. Suppose -25*x = 218 - 457 + 89. What is the third derivative of 37*b**6 - 2*b**n + x*b - 6*b - 25*b**2 wrt b?\nAnswer: 4440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3885 - -3890. Let s(m) be the second derivative of -3\/20*m**b + 0*m**4 - 19*m + 0*m**3 + 0 - m**2. Differentiate s(p) wrt p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/6*162\/15 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 1 - (-15 + 12 - (-2 + -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6086300 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - (209 + -91)) + 79?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8.433212 grams?\nAnswer: 8433212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2 = -95. Let x = k + -68. Calculate the remainder when 37 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/5 + 0)\/((-21)\/35). Sort 3\/4, -31, i, -0.1 in increasing order.\nAnswer: -31, -0.1, 3\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 17*d**2 - d + 6. Let s be p(17). Let y(f) = 2*f**2 + 18*f + 6. Calculate the remainder when 197 is divided by y(s).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by -15663.\nAnswer: -17\/5221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -894422671 divided by -6\nAnswer: 894422671\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - 0?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 1. Let q(k) = -5*k + 15. Let r(u) = 3*u - 1 - 5*u + u. Let j(s) = q(s) + 3*r(s). Let z(v) = -j(v) + 8*l(v). Find the first derivative of z(p) wrt p.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8969082 and 9813.\nAnswer: 8969082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 127*f - 131*f + 6, -f - 11 = 2*o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -8, -0.39?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k - 1527 = -k - 5279. What are the prime factors of k?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -15.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2988 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -94\/13 (b) -8\/7 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22.9 + -23. What is the second biggest value in -0.3, -1\/2, -4, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2856 by 4.\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 8:33 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) - -2*sqrt(245)\/sqrt(5)) + sqrt(49) + sqrt(98)\/sqrt(2)*-1)\/(sqrt(63)\/(sqrt(63)\/(sqrt(28)\/sqrt(4)))).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 - 1)*(-2 + 2 + 3*z)*(-29 + 32 + 97) + (-5 + 3 + 3)*(0 - z + 0).\nAnswer: 1499*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.4 (b) -3\/8 (c) 0 (d) 0.2 (e) 0.265\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36\/54 + (-14)\/3. Sort a, 3, 4, -17 in descending order.\nAnswer: 4, 3, a, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 702, 701, 700?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 5*w - 2. Let p be l(-3). Suppose -4*r + p = -4. Suppose -r*f = 2*y - 7*y + 15, -3*y = 3*f - 9. Let a(h) = h**2 - 4*h + 2. Give a(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/((9072\/294)\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7221 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -248.9281 - -0.94?\nAnswer: -247.9881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 5) + -1331 + 1262?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.274 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2079 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -5. Let j = 360 - 297. What is the remainder when j is divided by 5 + -6 - (-23 - y)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*s - 17, -4*d - d + 3*s = 25. Let w = d - -6. Let t(j) = 2*j - j**2 + 0*j + w*j - 5. What is t(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 118*p**2 + 12*p - 43. Let h(k) = -354*k**2 - 34*k + 128. Let b(w) = 6*h(w) + 17*s(w). What is the derivative of b(z) wrt z?\nAnswer: -236*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 278 + -179. Calculate the remainder when w is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*w - 363*w + 76*w + 122*w + 116*w.\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 8. Let b(n) = v*n**2 + 2*n**2 + 0*n**2 + 2*n + n. Calculate b(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 4 - (-4 + 0) - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1188, -2808, -4428, -6048, -7668?\n\"Answer: -1620*o + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8941, -35810, -80579, -143230, -223745?\n\"Answer: 3*c**3 - 8968*c**2 + 14*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1802915 = -61*v + 342882. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 262, 271, 280?\n\"Answer: 9*t + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 41.5. Suppose 19*t = 3*t - 2048. Let f = t - -125. What is the second smallest value in 0, q, -3\/8, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76*i**3*w**2 + 7*i**2 + 9*i*w**2 wrt i.\nAnswer: -456*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + c - 1)*(99298*c + 267*c**3 - 99298*c) to w*c**3 + m*c**2 + x*c**4 + t + v*c and give x.\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + -1. Let g = -126 + 125.9. Sort 5, d, g in decreasing order.\nAnswer: 5, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*r + 339660 + 819892 = 3*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8*q - 1 + 6 - 6*q + q**2 + q. Let v be g(-8). Suppose -289 = -5*f + p, -3*p = f - 0*f - v. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/33 - 73\/231. Put -0.33, m, 2, 0.5 in descending order.\nAnswer: 2, 0.5, m, -0.33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*d - 195 = 0. Suppose 0*a = 5*a - d. Let c(w) = 11*w - 13. Let u(v) = 5*v - 6. Give a*u(f) - 6*c(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18541467 to the power of 1\/2, to the nearest integer?\nAnswer: 4306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 11:43 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 8*b - 4. Let l be m(-7). Suppose -4*u = 3*d - 6*d + 365, -d + 125 = -l*u. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 = 17*j - 19*j, 2*j = 2*b + 2. Solve 3*p - g - 2 = -2*p, 2*p + g = -j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/16))**(-16\/7)\/(z**(1\/6)*((((z**(15\/4)\/z)\/z*z*z)\/z*z)\/z)\/z))**49 assuming z is positive.\nAnswer: z**(-875\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(104) + -3*sqrt(104)*4 + -1*sqrt(104)*1)\/((sqrt(72) - sqrt(72)*1)\/sqrt(9) + sqrt(8) - -1*sqrt(968)).\nAnswer: -sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 318, 324, 332, 342, 354, 368?\n\"Answer: p**2 + 3*p + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 53. Suppose 4*a - 5*j = 28, -2*j + 6*j + s = -4*a. Solve 2*p + a = -5*r, 0 = 2*p - 2*r - 2*r - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/435 and -83\/128.\nAnswer: 55680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 28 = 5*o, -4*o - 34 = -4*r + o. Suppose -z = 2*z + r. What is the units digit of -4*(0 - -2)\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32182231.9 to the nearest 100000.\nAnswer: -32200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-9)*-3*-2. Let c(a) be the first derivative of 3*a**4\/4 - 5*a**3\/3 - a**2 + 5*a - 16. Is c(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 11, -14, 528, -1.5, -1\/3?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7419760 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (8 - (4 + -1 - (-6 - -3)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5 + 1. Let w = -558 + 564. Is 14 a factor of (12 - s)*(w + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52104581?\nAnswer: 337, 154613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.8 + -16.2. Let v = 0.388 - -0.012. Which is the third smallest value? (a) 1\/2 (b) 5 (c) i (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s**2 - 131*s + 131*s + 4*s**2.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkk. Give prob of sequence kkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x + z = -10, -4*x = -z - 16. Let p = 1675 + -1674.7. What is the biggest value in -2\/5, -2\/3, p, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15407 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: Calculate the common denominator of 139\/65370 and -46\/89131995.\nAnswer: 178263990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 158 + 17. Let v = 1689 + -1673. What is the remainder when b is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12241983 is divided by 39?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/(q\/(((q**(-2\/7)\/q*q)\/q)\/q*q))*q)**(1\/22)*(q**(-8)*q)\/q**(-1\/4) assuming q is positive.\nAnswer: q**(-2055\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 1:48 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 131*y - 17110. Give r(131).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1035, -2163, -3293, -4425?\n\"Answer: -a**2 - 1125*a + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407546?\nAnswer: 2, 203773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 7*j + 5. Let a be f(-6). Let k be 2*((-4)\/3 - a). What is the closest to -2\/3 in 2\/9, 0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -38. Put h, -2, -1\/4, -0.2 in increasing order.\nAnswer: h, -2, -1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.197, 2, 7\/2, -55?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, c: 8}. Give prob of picking 3 c.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 5. Suppose y + 2 = 4*t. What is the remainder when 1 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**4\/2 + 164*v**3\/3 - 1596*v**2 - 7056*v - 1457. Let m(k) = 0. Calculate k.\nAnswer: -2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + -6)*(-1)\/2. Sort 4, 0.4, -0.4, y.\nAnswer: -0.4, 0.4, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/123)\/s)\/((s**(-3\/14)\/s)\/s))**(-31) assuming s is positive.\nAnswer: s**(-63953\/1722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86800 and 960?\nAnswer: 1041600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/(x\/(x\/(x*(x\/(x\/x**(-3)))\/x)))*x*x)*x**(4\/3)*(x**(-1)\/x)**(-9))\/((x*x\/(x*x\/(x**(2\/13)*x)))\/x**(-1))**(-1\/6) assuming x is positive.\nAnswer: x**(178\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-18)*(-1890)\/(-12))\/(57\/(-988)*-13)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhjotoo. What is prob of picking 1 o and 1 j?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -1b7a6a?\nAnswer: -1b7a6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20228037 and 80766.\nAnswer: 849577554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.6 - 3. Let b = 1 - -1. Let u = 16 + -15. What is the closest to u in b, y, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 545598466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002889 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4247*a + 11 - 5 - 22 + 18. Let n(i) = 2*i**2. Give h(n(o)).\nAnswer: -8494*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7))**(-3\/16)\/((u**13*u)\/(u\/(u\/(u*u**(1\/5))))) assuming u is positive.\nAnswer: u**(-3599\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 543130713 to the nearest integer?\nAnswer: 23305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**3 + 29*c**2 - 10*c + 104. Give y(10).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 4. Let b be c(-6). Differentiate -b - 11 - n**4 + 18 with respect to n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a meter in millimeters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*z - 385*z - 180 = -184*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 16*y**2 - 2. Let q be m(16). Let c be (-310)\/(-40) + q\/8. Suppose -2*r - 42 = -5*n, -2*r + 3 = -n + 13. Which is smaller: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugtsumgm. Give prob of picking 1 m and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.559 + 0.559. Let k = 6 + -11. What is the nearest to b in 0, 3\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19746.72 rounded to the nearest one hundred?\nAnswer: 19700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 4) to base 5.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i + 3. Suppose 9 = 2*y - 21. Suppose -3*k = -8*k - 3*r + 35, -3*r = -y. Let t(w) = -277*w + 565*w - k - 284*w - 2. Determine 3*t(n) + 7*x(n).\nAnswer: -2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-3)*c)**28*c**(-10)*(c*c**(1\/8))\/c assuming c is positive.\nAnswer: c**(-303\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 535 divide 13805882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1738226 + 3?\nAnswer: 1738229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 3 - (77 - 69)) + 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (11484*h - 6939*h - 5709*h)*(-2*h + 4*h + 0*h) as x*h + s*h**2 + y and give s.\nAnswer: -2328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbbs when four letters picked without replacement from {b: 5, s: 14}?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253 divided by 3.\nAnswer: -253\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 9*g**2 + 9*g - 3. Let h be v(8). Suppose -h*d = -2*z + 55, 5*z = -2*d - 3*d + 190. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 921 - 482. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 6688800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.97908 decades in centuries?\nAnswer: 5.397908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 7. Let z = 19 - 20.9. Let h = z + q. Which is the second biggest value? (a) -3 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 281 divide 34537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (12 - 26) + (-3 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 3) to base 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -5 (c) 70 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**2\/11 + 22286620*w - 682953467658550 = 0.\nAnswer: 61288205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133 + 2689239*z**2 + 133 - 2689268*z**2.\nAnswer: -29*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 82416 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2489674 - 0.2.\nAnswer: -2489674.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (3 - (0 - 1)). Let y be ((-5520)\/9)\/(-8)*b. Is 38 a factor of ((9 - 5) + y)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 - 5*p + p - 6*p with respect to p.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 200 = -20. Calculate the highest common divisor of 20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 12 = -2*a, 3*a + 1 = -5*x - 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 28230 (b) 0 (c) -3000\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4641.926 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/6*5796\/3036.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 5:04 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tjttjt.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xagxxgaxxxxxxaag. Give prob of sequence xg.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/(-18) - 6\/(-4). Suppose -z*a - a = 0. What is the tens digit of a*2\/(-4) - -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-25)\/(-70)*-2*7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**8\/448 - 11*z**7\/560 + 3*z**6\/64 + z**5\/32 - 17*z**4\/64 + 3*z**3\/8 - 6*z**2. What is j in a(j) = 0?\nAnswer: -1, 1\/2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3220 is divided by 124.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(10)\/((sqrt(96)\/sqrt(4))\/sqrt(12) + sqrt(2))*5 + 3*(sqrt(20) - (sqrt(20) + (sqrt(20) - sqrt(80)\/sqrt(64)))))*-1)**2.\nAnswer: 12*sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290865414.\nAnswer: 2, 3, 7, 19, 389, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -13. Suppose 0 = -q*i + 155 + 95. Suppose -17 = -r + i. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r - 39*r + 6*r + 10*r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*y = -16, 0*a - 2*a - 15 = 5*y. What is the common denominator of -113\/28 and a\/12*2844\/120?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148161 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 87*o. Let b(q) = 179286*q - 4*q**2 + 5*q**2 - 179286*q. Determine b(n(a)).\nAnswer: 7569*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*f + 6*i - 3*i - 45, 11*f - 4*i = -7*i + 91 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + 11*y - 11*y)*((-19*y - 96 + 96)*(0 + 3 - 2) + (-3*y + 0*y - y)*(-2 + 5 - 4)).\nAnswer: 15*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -z, 632 = -w + 3*z - 5*z. Let p be w\/(-4) - 5\/(-2). What is the tens digit of p\/7 + (6 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -39, -5, -1 in ascending order.\nAnswer: -39, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a - 4?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (24 - 12) + (15 - -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -102\/47 >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 5*a + 30. Let l = 8 - a. Let i(w) = w**2 + 7*w - 4. Let g be i(-8). Solve g*c + 8 = -l*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1662.535 millilitres?\nAnswer: 1.662535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.223 and -757097537774.\nAnswer: -757097537774.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2100 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/8, 4, 190, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -4*u**3 - 2*u**2 - 2*u. Suppose n - 112 = -n. Suppose -d + n = 3*d. Let f(b) = 5*b + 1. Determine d*f(s) + 3*z(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -42, -1472 in decreasing order.\nAnswer: 2, -42, -1472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 346875076?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -128 - -135. Solve 0 = w + 5*p - s, 2*w + 1 = 2*p - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 4*z - 17 = -13, -m + z = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 994.\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12320873, 12320875, 12320877, 12320879, 12320881?\nAnswer: 12320883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13936684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 635*o**4\/4 + 10948*o**3\/3 - 4573. Find the third derivative of u(f) wrt f.\nAnswer: 3810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120.8 * 55\nAnswer: 6644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 0*d**2 + 0*d**2 + (0*d + 2*d + 0*d)*(0*d + 2*d - 3*d) + (4*d**2 - d**2 + 0*d**2)*(0 + 11 - 7) to j + z*d**2 + i*d and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 229. Let r(c) = -339760*c. Give z(r(t)).\nAnswer: 339760*t + 229","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 15*k**2 + 126*k - 3. What is j(-8)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + -1)*1 - (sqrt(22)\/sqrt(2)*3 + 3))**2.\nAnswer: -24*sqrt(11) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 - 2*d**2 - 2*d**2 + (-92*d + 92*d + 43*d**2)*(1 + 5 - 4).\nAnswer: 82*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -3*t + 0 + 1\/12*t**4 - 5\/6*t**3 + 2*t**2. Let p be 6\/(-9)*(-18)\/4. Determine s(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*i**2*w**2 + 2*i**2 - 4*i*w**2 - 252*w wrt w?\nAnswer: 14*i**2 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 50*h - 26*h = 2*u + 25*h + 23, 3*h = u + 33 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) 12\/13 (c) 0.01533 (d) -1\/5 (e) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(390*(-54)\/(-2160)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**6\/360 - w**5\/20 - 3*w**4\/8 - 5*w**3\/6 + w. Let q(b) be the second derivative of f(b). What is q(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 198 = 9*m. Let p = m - 28. Solve -2*i = p*u + 2 + 11, -5*i - 19 = -u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2392, 2, 0, -5 in descending order.\nAnswer: 2392, 2, 0, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15051, -27342, -39629, -51912, -64191?\nAnswer: -76466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -61 + -145?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2248154 to the nearest integer?\nAnswer: 1499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 20928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 3 - 4)*(2*o - 2 - o - 2)*(0 - 3 + 0) to the form z*o + s and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + w = 33, -4*b - 3*w + 61 = -2*w. Suppose 0 = 7*z - b - 84. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 322.12 + -316. Let l = 6 - t. Round l to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/6)\/(40\/10020)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 5*p - 4*p + 3*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48726 - 190.5.\nAnswer: -48916.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2763, 2758, 2749, 2736, 2719?\nAnswer: 2698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -3. Let r be (10\/4)\/(s\/10). Let u = -1 - -1. Solve u*p + r = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1025*c - 54*c - 31623 = -15645 + 14234 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81 - 54. Suppose -20 = 4*k + 4*d, k + 0*d = -5*d - 9. Let j be 3 + 0 - (k + -2 + -9). Calculate the highest common factor of v and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*i - 156*i + 1360 = 0 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 d when three letters picked without replacement from {p: 1, x: 1, y: 1, d: 2, t: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-629)\/(2\/(-14) - (-42)\/(-49)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/1377)\/(135\/(-243)).\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1113\/371*4\/(-42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48771739?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7554 = 5*b + b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-6)\/(-378))\/((-51)\/45 - 98\/(-735))\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -136 - -155. Solve -11*g + 10 = -9*g - 3*z, -g = -5*z - c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 456*k*p**2 - 58*k*p - 51*k - p**2 + 37748*p - 366 wrt k.\nAnswer: 456*p**2 - 58*p - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.3 + -29.3. Let t = 16.2 + -0.2. Let h = t + u. Which is the closest to -2? (a) 0.1 (b) -2\/9 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*l**2 + 3*l - 9 - 3*l with respect to l.\nAnswer: 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -1\/4*y**5 + 6*y + 7 + 2\/3*y**4 + 4\/3*y**3 - 3*y**2. Let i(q) = 4*q**3 - 7*q**2 - 7*q + 5. What is -5*f(s) - 6*i(s)?\nAnswer: s**3 + 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 + -83. Which is the closest to 1\/4? (a) x (b) -21 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*y**5 - 29712039*y**4 - 187696*y**2 + 4*y wrt y.\nAnswer: 240*y**2 - 713088936*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 3*m**3\/4 - 51*m**2\/8 - 9*m\/2 - 42. Factor z(d).\nAnswer: 3*(d - 6)*(3*d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1036 - -1039. Suppose r - 30 = -2*r. Solve -5 = k*t + r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**4 - h**3 - 1. Suppose 2*j - 6 = -4*j. Let l(f) = 28*f**4 - 5*f**3 - 7. Let r(o) = j*l(o) - 5*q(o). Differentiate r(b) wrt b.\nAnswer: 92*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-36)\/(-14))\/((-2)\/(-14)). Suppose -6*u + 12 = -18. Solve -2*y - 2*y = u*d - o, 0 = d - 5*y + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -7.9. What is the nearest to 0 in t, 0.2, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*g + 56, -5*l - 2*g + 155 = -17. What is the smallest common multiple of 18 and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) + (-114)\/(-24). Suppose -g + 7 = c. Suppose -4*t + 12 = v, c*v + 3*t - 2*t = 17. Solve 5*u + v = 4*k, k = -u + 4*u + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 113*s - 203*s to k + o*s and give o.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y**2. Let q(l) = 9223*l. Determine q(r(z)).\nAnswer: -55338*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -5, -0.5, 0.3, -4\/3 in increasing order.\nAnswer: -5, -4\/3, -0.5, 2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86408146 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 42. Let m(q) = 23*q - 1. Let x be m(1). Let f be p(x). Suppose 2*r = -n + 111, f*n + 0*r - 5*r = 177. List the prime factors of n.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n = -14*n - 0*n + 1682. What is the remainder when 94 is divided by n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 59.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 x when four letters picked without replacement from bgbgxbbxg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6848\/(-3418) + 2\/(-5)*-5. Let a = y - 9672\/165773. Let k be 3\/9*2 - (-1)\/3. Which is smaller: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76978.\nAnswer: 2, 11, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66477150*p**3 + 5*p**2 - 3559756*p - 2?\nAnswer: -398862900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0)\/1*5. Suppose 4*h = w*h. Solve 2*c - l = h, -2*c + l + l = -4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206191.\nAnswer: 206191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1013308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1984.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**5\/4 - 54*s**4 + 10295*s**3\/4 - 46939*s**2 + 364161*s - 1006460 = 0.\nAnswer: 7, 10, 13, 28, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 25*b**3 + 6*b**2 - 5*b - 83. Let v(t) = -9*t**3 - 2*t**2 + 2*t + 28. Calculate 3*n(o) + 8*v(o).\nAnswer: 3*o**3 + 2*o**2 + o - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**6\/45 - m**5\/120 + m**4\/24 - m**3\/3 + 7*m**2. Let s(y) be the first derivative of d(y). What is s(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: c83 (base 13) to base 7\nAnswer: 6140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -136 + 199. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10863 + 10855. Which is the second smallest value? (a) -3 (b) m (c) 1.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 89, 349, 783, 1391, 2173?\n\"Answer: 87*s**2 - s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3582\/8358*1*7*(-6)\/204.\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11399, 6809, 2233, -2323, -6853, -11351?\n\"Answer: g**3 + g**2 - 4600*g + 15997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 12. Let v(m) = -m + 48. Let j be v(52). What is a(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1872.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -1\/45*x**5 + 1\/105*x**7 - 1\/9*x**3 - 1\/504*x**8 + 1\/12*x**4 + 3*x**2 + 0 - 1\/90*x**6 + 0*x. Factor a(z).\nAnswer: -2*(z - 1)**4*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from {t: 1, n: 1, b: 1, d: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 - 43.3. Is -1 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**4\/24 + 8*i**3\/3 + 21*i**2. Let x be s(14). Solve x*q - 10 + 2 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/3712168, 0.6, 5\/3, -2, -2\/21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*w + 27*w - 48. Let k(z) = -z**3 + 2*z + 1. Let m be k(-1). Suppose 0 = 2*p - w*f - 96, 3*f + m*f - 103 = -2*p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/6)\/((-3)\/(-685827)*9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8345146.\nAnswer: 2, 4172573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*x**2 - 5*x**2 + 3*x**2)*(0 + 0 - 2*x) - 4*x**3 + 0*x**3 + 3*x**3 - x**3 - 8*x**3 + x**3)*(7*x - 13*x + 13*x).\nAnswer: -77*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13241.\nAnswer: 13241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58 + 51 + 117)*(q + 3*q + 0*q) in the form m*q + z and give m.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 102026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 4845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 151*f + 416. Let n(u) = -43*u - 139. Determine -2*h(o) - 7*n(o).\nAnswer: -o + 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(13) - (2*sqrt(65))\/sqrt(5)) + sqrt(65)\/sqrt(45)).\nAnswer: 10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(2\/562) - 212\/(-53)?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 11*y**2 - 12*y + 11. Let r be g(-12). Solve 5*u + r = 2*l, -l - 4*u + 7*u = -6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*r + 1 - 7, 3 = 5*z - r. Let v(q) = -q**3 + 6*q**2 + 4. Let a be v(6). Factor u**2 + 3*u**2 + 2*u**5 - a*u**4 + z*u**2 + 0*u**2 - 2*u.\nAnswer: 2*u*(u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/17 (b) -6 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5344010797 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.83238 to 1 dp.\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7.4 times 16852.64\nAnswer: 124709.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*y = 1362*y + 87672 for y.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 9 - (3 + -7) - -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -79 + 774b70?\nAnswer: 774ab3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13 - 274*w + 274*w + w**3 wrt w?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67525365027 minus -0.022?\nAnswer: -67525365026.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4450851831588 and -0.9.\nAnswer: 4450851831587.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*d - 20. Suppose 2 = d*q - 22. Is ((-82)\/q)\/(6\/(-54)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, l: 2, g: 5, z: 1, v: 3}. What is prob of sequence fgl?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.015 and 1.69.\nAnswer: -0.02535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25765\/3396 + -1\/283. Find the common denominator of f and 127\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1876, 3775, 5678, 7585, 9496, 11411, 13330?\n\"Answer: 2*s**2 + 1893*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -1, -1\/7, 1\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.126 + 2.326. Let z = 0.016 + 0.384. What is the smallest value in 0, l, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 1:11 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2330 + 525 = -2855*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*p + 24*p**3 - 6 + 4 + 7*p**3 - 21*p as d + w*p + l*p**2 + z*p**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21312*n**3*o - 3334*n**3 + 77*n**2*o + 261362*n**2 wrt n.\nAnswer: 127872*o - 20004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 3*k, -5*k = -5*z - 2 + 7. Let u be (12\/8)\/(z\/6). Which is the second biggest value? (a) u (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y + 1. Let z(o) = 48*o - 273. What is -5*f(l) + z(l)?\nAnswer: 3*l - 278","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-2 - (1 + 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o**5 + 18598*o**4 + 1960134*o**3 + 38597790*o**2 - 616452650*o - 768652500 = 0. What is o?\nAnswer: -55, -7\/6, 11, 1650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = n, -39*u = -43*u - 3*n + 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.31 + -1.5. Let a = -34.09 - -34. Let i = a - g. Which is smaller: i or 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*f - 52 = -14*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/688695 and -35\/22488?\nAnswer: 5509560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*j = 4, -3*d + 4*j + 4 = 5*j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-2) + 6\/6. Let u = 11 - k. Let w = 17 - -7. Calculate the greatest common divisor of w and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2805.000006091 + 2805. What is b rounded to 7 dps?\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, i: 7, t: 3}. What is prob of picking 2 d?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -34. Let j(m) = 15*m + 7. List the prime factors of j(p).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31898628 > -31898617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 4) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*m = -0*m + 52, -3*m = -5*x + 106. What is the greatest common factor of x and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11780891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 5*c + 30 = 0, -18*c - 7 = -2*x - 19*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2918.2, -0.4, -2 in descending order.\nAnswer: 2918.2, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 12 = 3*m, 5*m = 2*w - 6*w - 20. Put w, 4, -4 in increasing order.\nAnswer: -4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -104*a**2 - 2*a**4 + 68 - a**3 - 75 - a + 50*a**2 + 53*a**2 to the form b*a**4 + d*a + c + u*a**2 + r*a**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*m - 13664 = 249*m + 104*m for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2649*w**3 - 208*w**3 - 10997*w + 11 + 11019*w + 46*w**3 wrt w?\nAnswer: 14922*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 4 = 2*u, t = 5*u + 17 - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 126 - 109 - (7 - -8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one eighths of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 432 = -3*b, b = -b + 4*d - 282. List the prime factors of (-98)\/b - (-4406)\/6.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112 - -128. Suppose 2*f - 4 = f. Suppose 0 = -8*d + f*d + x. Solve 5 = -5*n, -d*c - 27 = c + 2*n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*q - 7*s + 18, 5*q = -3*s - 24. Let m be 20\/(q\/(-4) - 1). Suppose -5*k - 37 = 3*b, 5*b + m = -5*k + k. Sort 2, b, -5 in increasing order.\nAnswer: -5, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 11*f**2 - 4*f - 4. Let i(p) = -22*p**2 + 7*p + 7. Calculate 4*i(s) + 7*v(s).\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-2))\/((-1)\/(-2)). What is the first derivative of 0*y**3 + 2 + 2*y**3 - q + 1 wrt y?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 113227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.059 in -5, -3, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 268616126 divided by 1?\nAnswer: 268616126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*w = 0, 0*y - 5*y - 4 = -4*w. What are the prime factors of 7*2\/y*-6?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/8 - 15\/(-2). Suppose 0 = v - 5*v - 5*d + g, -2*v - 5*d = -1. Let q(s) = -v*s - 1 - 2*s + 3*s - s. Determine q(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 + 170. What are the prime factors of w?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 1. Let q(h) = -o*h + 0*h + 6*h + h**4. Let n(j) = 4*j**4 + 7*j + 1. Let l(c) = 2*n(c) - 7*q(c). Differentiate l(f) with respect to f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*x**3 - x + 4*x - 2*x**4 - 4*x - 2 - 141*x**2 - 82*x**3 as l + j*x + z*x**4 + p*x**3 + s*x**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4*l = -11, -3*l - 10 = 3*n + 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2784, 5577, 8354, 11085, 13740?\nAnswer: 16289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146225*p**6 + 5*p**5 - 799486*p**2 wrt p?\nAnswer: -17547000*p**3 + 300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p + 7. Calculate r(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -107320000 rounded to the nearest one million?\nAnswer: -107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - (-27 - (53 - 74)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 4. Let i be ((-15)\/(-70))\/(3\/4). Sort i, p, 0 in ascending order.\nAnswer: p, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, g: 3, w: 2, n: 4, o: 3, r: 2}. Give prob of sequence nrg.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12359904 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, g: 5, a: 1, p: 2}. What is prob of picking 1 e and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 15, -2*k + 278 = 5*o - 448. Let w = -142 + o. Let c(x) = -5*x. Let p(a) = a - 1. Suppose 0 = 2*t - 1 - 1. Determine t*c(f) + w*p(f).\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 416014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 1. Let b = -27 + 33. Let k be u(b). Let r = 51 - k. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 268*x - 3732. Let w be a(14). Solve 0 = -25*n + 21*n - w for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 810, 2613, 4416?\n\"Answer: 1803*y - 993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -208 - 114. Let x = k + 386. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46524 * 0.15.\nAnswer: 6978.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/20)\/(((-9)\/(-42))\/3). Calculate the greatest common divisor of k and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 2*o - 2. Let h be p(-3). Calculate the common denominator of (-9)\/((-99)\/68) + -3 and 0 - (52\/h + -2).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1313 - 157559\/120. Let h(j) be the third derivative of 0*j + 0*j**7 + 0*j**5 + 1\/672*j**8 + 6*j**2 - r*j**6 + 0*j**3 + 0 + 1\/48*j**4. Factor h(l).\nAnswer: l*(l - 1)**2*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -126? (a) -6 (b) -4 (c) -1\/2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 996 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 + 17 - (-2 + -3)) + -7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/68 and 11\/340.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -13*q**7\/21 + 4*q**4\/3 + q**2 + q - 4. What is the third derivative of r(k) wrt k?\nAnswer: -1560*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 57*m + 24. Let l be u(4). Let d = l + -250. Solve d*w = -w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 16 = 2*k. Suppose -k*t = t. Suppose t = 4*r + x - 1800005, -r = -0*r + 4*x - 450020. What is r rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3788*r**2 - 3647*r**2 + 7435*r**2 + 211*r + 252*r - 6*r**3.\nAnswer: -6*r**3 + 463*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 23. Let f be i(-22). Let r be ((-15)\/25*-5)\/f. Suppose -2*l + 7*l + 20 = r*a, 3*a = 4*l + 25. Solve -a = 2*w + 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**0*k**(3\/5))\/((k\/(k\/(k*k**(-3\/8)*k)))\/k)**30)**(-7))**(-16) assuming k is positive.\nAnswer: k**(-10164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189610, -758481, -1706600, -3033967?\nAnswer: -4740582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 9:21 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 6\/323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16a9 (base 11) to base 13.\nAnswer: cb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1757589.3 seconds to minutes.\nAnswer: 29293.155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/295 and 22\/5959.\nAnswer: 29795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -137 in -2\/103, -3\/31, 3?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2*q - 16*q**2 + 11*q**2 - q**4 + 7*q**2 as c*q + h*q**2 + r + o*q**4 + g*q**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**3 + 9*o**2 - 13*o + 11. Is s(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -514 - -787. Suppose r + 312 = -5*c. Is c\/(-6) + (-1)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a2682 (base 16) in base 7?\nAnswer: 5440261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9578.0475 nanoseconds to weeks.\nAnswer: 0.00000000001583671875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 81 + 178*z**2 - 533*z**2 + 181*z**2 + 2*z + 176*z**2.\nAnswer: 2*z**2 + 2*z - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 390829337 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**3 + 120*v**2 - 228*v + 112 = 0. What is v?\nAnswer: 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 111 (b) -3 (c) 0.3 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*h - 3*h - 75*h**3 + 98*h**3 + 199 wrt h?\nAnswer: 69*h**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 622290 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.015 + 39.985. Let f = 39.946 - t. Round f to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + z - 7*z - 21*z**2 + 12*z**2 + 5*z + z**3 to y*z**2 + g*z**3 + o + c*z and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 209687 or 209705?\nAnswer: 209687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35916 and -5?\nAnswer: -179580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/4 (b) -0.1 (c) 3 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**3 - 494*t**2 - 689*t + 20548. Calculate r(-163).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1146299.266 rounded to the nearest ten?\nAnswer: -1146300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4857275.43 milliseconds to weeks.\nAnswer: 0.008031209375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-12) + 2\/(-4). Let a(p) = 7 + 0*p - 3 + p - 4*p. Is a(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2)*t)**(-19)*(t\/t**(-5)*t)**(-8\/9))**(1\/27) assuming t is positive.\nAnswer: t**(-625\/486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 0 - 0 - (0 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/(a\/(a*a*a**5*a*a)*a))*a*a)\/a**(2\/5))\/(a*a**4*a*a**(-4\/7)\/a)*(a**(-42))**(-2\/43) assuming a is positive.\nAnswer: a**(-10347\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g - 34*g + 2944 = 0. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z - 163*z**2 - 3*z + 1 - 6*z + 3*z to d + j*z + p*z**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10283237.\nAnswer: 19, 373, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -3891, -139 in descending order.\nAnswer: 0, -3, -139, -3891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55342 and 226058?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 46650280 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19594221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 7:09 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -462 > -462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1318, -2846, -3 in decreasing order.\nAnswer: -3, -1318, -2846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - u**2 - 4*u + 5. Let t(b) = b**3 + b - 1. Let s(j) = 4*t(j) + x(j). Let p be s(1). Solve 5*r + 7*f + 30 = 3*f, f + p = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2\/a)**19*a**(1\/4)*a*a**(-1\/14) assuming a is positive.\nAnswer: a**(565\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - 6*sqrt(110)*2)\/(sqrt(120)\/(sqrt(12)*-3)).\nAnswer: 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -3*f + f. Let t = f - -10. Let g = t + 8. What is the smallest value in -1\/7, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2)*(1 + -1). Suppose m*v - v = -3. Let -v*x + 4*x**2 + 7*x - 3*x - 3*x**2 = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*t**5 - 1123*t**3 - 2*t**2 + 926 wrt t.\nAnswer: 360*t**2 - 6738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 58*w - 1. Let r be c(-3). Let p = 175 + r. Are p and -2\/61 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 2. Let b = 10 - q. Let o = -4 + b. Solve o*v - 7*v = -5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2262 - 2262 - 47*x**3 - 7*x**3.\nAnswer: -54*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12076880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216)*-1)**2 - (sqrt(19) + 0)*-6.\nAnswer: 6*sqrt(19) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uaammamaa. What is prob of picking 1 u and 2 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 10976\/5 + 4\/5*u**3 - 2192*u + 2728\/5*u**2 = 0.\nAnswer: -686, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1*sqrt(200) - sqrt(200))\/(sqrt(32)\/(sqrt(32) - sqrt(8))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 96 = 2*n + 9, -235 = -17*n + 1417*b - 1414*b - 900 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * -306127.\nAnswer: -27551.43","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is -50.1 times -3.387?\nAnswer: 169.6887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 10:03 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 0.1, 6, 5\/3, -2\/3 in descending order.\nAnswer: 6, 4, 5\/3, 0.1, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -19 - 96*b + 15 + 0 + 2 - 82*b. Let m(q) = -4*q. Determine a(m(k)).\nAnswer: 712*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1\/42, -2, 0, -1\/4 in decreasing order.\nAnswer: 1\/42, 0, -1\/4, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*v - 9, 3*d - 3*v - 12 = -2*v. Find the third derivative of -r**2 + 4*r**2 - d*r**4 - r**2 wrt r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (165 + 200 - 333)*(-4*n + 4*n - 8*n)*(0 - 2 + 4) to the form a + c*n and give c.\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 55*v - 14. Let i be l(8). Suppose 4*s - i = 214. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -112321?\nAnswer: 112321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -937.918 to the nearest ten.\nAnswer: -940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**4*d\/(d*d*(d*(d*d\/d**(-1\/2))\/d)\/d)*d*(d*d**(3\/5)*d)\/d*d*(d*d**(-7))\/d*d assuming d is positive.\nAnswer: d**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-70)*-3)\/((-3)\/10).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 11*k - 338. Calculate s(26).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3669906 divided by 1223302.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21584, 43171, 64758, 86345, 107932?\n\"Answer: 21587*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -683 - -3279. Is t a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4602511413.\nAnswer: 3, 2377, 215141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1545 + 1498. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56460 - 32212. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 6*n**2 + 4*n + 2. What is l(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7074317*0.03\nAnswer: 212229.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -685688736.8 rounded to the nearest one million?\nAnswer: -686000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 107 = -23. Let z(b) = -b - 11 + v - 3. Let w(s) = -12*s. What is z(w(d))?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 6:33 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(1\/2))\/n)**(6\/25)\/(n*n**(-5\/4)*n*((n**(2\/7)\/n)\/n)\/n)*(n**(-6)*n)\/(n**(-4)*n*n)*(n**(-3\/4)\/n)\/n**(1\/5) assuming n is positive.\nAnswer: n**(-1087\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*z - 84. Let h = -28 + z. Let f = h - -81. Solve 0 = 5*i - 5*v + f, -5*i - 4*v + 8 = -3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/3)*c*c*c)**(-27\/4)\/(c*(c**(-1)*c)\/c)**(-8\/7))\/((c*c*c**(-1\/4)\/c*c*c**(-1\/7))\/(c\/(c\/(c\/(c\/(c**6*c)*c)*c))*c**5)) assuming c is positive.\nAnswer: c**(-213\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 956 - 196 - 126 - 153 - 256 as f*o + n and give n.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -26*t**3 + t**2 + t + 1. Calculate h(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 3. Let l be m(-4). Let o be (-203980)\/258 + 8 - (-2)\/(-6). Let k = 783 + o. Is k at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 27*n - 40. Let l be t(25). Let i = 6 - l. Let k be (-1360)\/(-6)*(-90)\/i. Round k to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 12, 0 = 5*c + 2*w - 3*w + 62. Let n = 19 + c. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*o**4 + o**3 + 187*o**2 - 213025*o wrt o?\nAnswer: -228*o**2 + 6*o + 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -708 (base 12) to base 16\nAnswer: -3f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 28, 92, 198, 346, 536, 768?\n\"Answer: 21*f**2 + f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 2, z: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b - 6*b + 106*b)*(4*b + 0*b - 5*b).\nAnswer: -109*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*(-2)\/4)\/((-12)\/(-1800)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-4)*v))\/v**(1\/8))\/(v**(2\/5)*v**(-11\/4)) assuming v is positive.\nAnswer: v**(249\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 756 and 39272940.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38326618 by -38326618.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 5*z = 25, -2*m - 10*z = -6*z - 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-23)\/(-3) - 4\/6. Suppose 5*o - 8 = b. Suppose 5*m + 0*v + 2*v = 389, -227 = -o*m + 2*v. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 261089.6us?\nAnswer: 261.0896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/210*2*(-10)\/4\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -416*j - 1186*j - 2839*j**5 - 2104*j + 336*j**5 wrt j?\nAnswer: -50060*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 2.573\nAnswer: 2.573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50.4 in 4, 0, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7174*l**2 - 22*l + 57. Let r(h) = 4783*h**2 + 15*h - 35. Let b(y) = 7*j(y) + 11*r(y). What is the second derivative of b(u) wrt u?\nAnswer: 4790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1967.3 - -1967. Let t = 1.9 + -2. Which is the nearest to t? (a) -2 (b) 0.27 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 12:44 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-4))\/(2\/(-124)*-1). Let q = -94 - a. Let k be (q - (-22)\/6)*54\/36. Solve 0 = -4*x + k*j, -4*x + 2*x + 3*j = 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -11*n**3 - 89*n**2 - 19*n - 157. Calculate the lowest common multiple of c(-10) and 108.\nAnswer: 8532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.89 + -0.11. Which is the closest to -1\/4? (a) -5\/4 (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/5928*26*1. Let i = 232 - 2084\/9. Which is the closest to -2\/5? (a) d (b) -2\/9 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1372000 - 1372000 - 3*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2466*q**5\/19 + 432*q**4 + 9824*q**3\/19 + 4884*q**2\/19 + 42*q - 4\/19 = 0.\nAnswer: -1, -1\/3, 2\/411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 328249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**2 - 2*n + 1. Let v be b(1). Suppose -4*g = -v - 8. Suppose 5 = t - g*l - 0, 2*l = 5*t - 12. Solve -3*h - p - 5 = -5*p, t*h - p = 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-15) - (-176911)\/105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g + 3*g - 768*g**2 + 789*g**2 - 5*g as j + u*g**2 + y*g and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 21. Suppose -3*z = -4 - d. Put 4, -1, z in decreasing order.\nAnswer: 4, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1326*z + 1287*z - 69350 = 788*z for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/(-6))\/((6\/(-2))\/18)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2334767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -33. Let t be r\/4 - (-58)\/(-36). Sort 0, 3\/4, -3, t in descending order.\nAnswer: 3\/4, 0, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.256 - 38.744. What is the nearest to -2 in 2, 0.4, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 20. Suppose -3*z - 3*m + 15 = v, 0 = z + 2*z + 2*m - 13. Suppose -5*i + 19 = -z*b + b, b = -i + 8. What is the lowest common multiple of 4 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in 1046, -1\/10, 0.5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 748345840*r + 915078149 wrt r?\nAnswer: 748345840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 91536, -2, -5 in descending order.\nAnswer: 91536, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -8. Let f be 4446\/(-52) - o\/(-4). Calculate the common denominator of -8*(-3)\/42 - (-1994)\/f and -133\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6835 is divided by 180?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 6843903?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 367893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 12:57 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 2:26 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2057 - 2013) + (0 - 47)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 15*i - 2. Let y = -21 - -13. Let d be (-14)\/(-8) + (-2)\/y. Is 10 a factor of v(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1220022120022 (base 3) to base 11\nAnswer: -62a983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3 + g**2 - 37*g + 35 = 0. What is g?\nAnswer: -7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -261b226 + -c?\nAnswer: -261b233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-63)\/(-42))\/(-2 + (-3)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (240\/72)\/(-1 + (-22)\/(-18)). What is the second derivative of -32 + 32 + 6*m - b*m**2 wrt m?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*y - 26*y - 20*y + 4585 = 0. Put y, 0.1, 2 in ascending order.\nAnswer: 0.1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 488.3002 micrograms to tonnes.\nAnswer: 0.0000000004883002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1825*d**3*n**2 - d**3 + 30*n wrt n?\nAnswer: -3650*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009496 rounded to 5 dps?\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2234505?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 7. Suppose 4*d + 2*v = 38, 6*d - d = -c*v + 49. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-11 + (-5 - -34))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1693741 is divided by 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 3, -5, 42, -240, 5 in decreasing order.\nAnswer: 42, 18, 5, 3, -5, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*r + 33, -3*r = -0*o - 2*o + 19. Let l be 4\/(((-4)\/(-6))\/o). What is the highest common divisor of 108 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*t - 2 = 2*t, -3*t + 16 = m. Let p(x) = -9*x + 8. Let r(a) be the second derivative of -4*a**3\/3 + 7*a**2\/2 + 7*a. Determine m*r(b) - 6*p(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -5) + (-1 + -1 - (9 + -10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 486, 974, 1462?\n\"Answer: 488*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59753887 is divided by 3982.\nAnswer: 3977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*l + l - l**2 + 4*l as h*l**2 + d + u*l and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 + -99. Let a(m) = 3*m - 7*m + 9 + 6 + 1. List the prime factors of a(s).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -285f (base 16) to base 4.\nAnswer: -2201133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 3590073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, -91, 6 in ascending order.\nAnswer: -91, -6, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 4, 0.9, 5, -0.2 in descending order.\nAnswer: 5, 4, 0.9, -0.02, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 11:03 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hddhh. What is prob of picking 2 d and 1 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12981964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5350 = 5*k - 2*x, 7*k + x = 4*k - 3199. Let u = k + 1649. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-16)*-6)\/(701\/61688)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -19*d**4\/3 - 4*d**3\/3 + 7*d**2 - 22*d. Let x be g(3). Is 11 a factor of x*3\/(-24) - 2\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-15)\/(-10) - (-677)\/2 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from pppappappp.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**2 - 12*b - 1. Let f(x) = -11*x. Let m be f(-1). Is 3 a factor of a(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79\/78 + -9\/26. Let d = 46.1 - 0.1. Let u = 45 - d. Sort 3\/2, 1\/3, u, o.\nAnswer: u, 1\/3, o, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 8:02 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 623447024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40144 and 624.\nAnswer: 120432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23558, 94494, 212720, 378236, 591042, 851138, 1158524?\n\"Answer: 23645*q**2 + q - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -da68 (base 14) to base 7\nAnswer: -214661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 39*x + 80 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2 + 6. Suppose 2*y - 26 = -f*k, 5*k - 32 - 3 = y. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0, -15.5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1464 is divided by 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -496*-1995.\nAnswer: 989520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**7)\/(s\/s**(-9)))**20 assuming s is positive.\nAnswer: s**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v - 3. Let c(r) = -r - 1. Suppose u = -3 - 1. Let k(l) = u*c(l) + x(l). What is k(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3373ed + 1?\nAnswer: -3373ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 20818.83.\nAnswer: -62456.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.18 - 2.18. Let d(w) = -w - 1. Let h be d(-3). Let z = -2 + h. Put -2\/15, c, z in descending order.\nAnswer: z, -2\/15, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95747 is divided by 181.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**2 + 160*z + 54. Calculate the remainder when s(-41) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 628\/353 (b) 0.1 (c) 2\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + 1 + (-3 - 8\/(-4)). Let h = 4 - 0. Suppose 2*y - 2*v + 5 = -v, 0 = 5*y + h*v - q. Is y at least as big as -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*l = -8, -7*g - 7 = -8*g + l. Suppose 2*v + 29 + 55 = 0. Let y be (48\/v)\/(g\/(-14)). Solve -q + y = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)*-2*-2)\/sqrt(2)*-5.\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4768896 is divided by 366836?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3500 + 2132534?\nAnswer: 2140434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -670270 to the nearest 10000.\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 69, -4 in decreasing order.\nAnswer: 69, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*r + 96. 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: Solve 0 = 35*h + 229*h - 1848 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, z: 13}. Give prob of sequence rzzz.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 3. Let f(c) = c**2 - 2. Let d(k) = -3*f(k) - 2*m(k). What is l in d(l) = 0?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by -564639.\nAnswer: -44\/564639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**2 - 215994*y + 8634960 = 0.\nAnswer: 40, 71958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -2.3. Let w = d + 2. Let r = 0.4 + w. Which is the nearest to -0.1? (a) -3 (b) -2\/15 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 49?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 20*q + 71. Let m be d(22). Calculate the greatest common divisor of 459 and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -5.22, -1\/9, -0.4, -3\/5, 1\/2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 4. Let z be w(-6). Let t = -557837\/371894 - 2\/185947. What is the nearest to t in -3, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (340\/(-6))\/((-15)\/((-2475)\/10)). What is the hundreds digit of (3 + t\/10)\/((-1)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15a572a2 - -5?\nAnswer: -15a57298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand v - v - 3*v**2 + (2*v - v - 3*v)*(-v - v - 2*v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 3383309.\nAnswer: 37216399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 - 4*a**2 - 3*a**2)*(-4 + 4 + 3)*(-4 + 1 + 2) + (-4*a**2 + 0*a**2 + 2*a**2)*(5 - 2 - 1).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376 - 425 = -3*p - 5*y, 5*p - 23 = -y. Determine t, given that 0 + 0*t - 13\/5*t**p + 1\/5*t**5 + t**4 + 7\/5*t**2 = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 150.179 - 0.179. Let t = 155 - p. What is the smallest value in t, -2\/11, -14\/5?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11543\/83897 - 1\/2893. What is the second biggest value in x, -14, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1166 - -698.5834. Let n = 699 - g. Sort -6, 2\/19, 2, n in decreasing order.\nAnswer: 2, n, 2\/19, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b + b + 4 + 5. Let p be g(-6). Let s = p - -64. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 405?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11349 + 11232. What is z rounded to the nearest one hundred?\nAnswer: 22600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 6*w**2 + 10*w + 17. Let r(t) = t**3 + 40*t**2 - 39*t + 75. Let f be r(-41). Let c be n(f). What is the closest to -1\/3 in -3, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1065*r*z**3 + 96909*r*z**2 - 49*z**3 - 2*z**2 - 16*z + 2787 wrt r.\nAnswer: 1065*z**3 + 96909*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 34 + (-2 - 0) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91879 - 53863. Does 108 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -553\/5 + 111. Let l = 533 + -3729\/7. Which is the second smallest value? (a) l (b) t (c) 0.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2. Let s = -24892 - -24894. Which is the nearest to -0.1? (a) s (b) -1\/4 (c) -2 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39366 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and 0.4?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 1:25 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535 = -68*v + 2389 + 68 for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17646 - -17647. Which is the closest to -1.2? (a) 2\/21 (b) j (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 881*v - 7563. Let p(n) = -291*n + 2521. Let c(y) = -6*o(y) - 17*p(y). What is the derivative of c(r) wrt r?\nAnswer: -339","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514709868 to the power of 1\/2, to the nearest integer?\nAnswer: 22687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (1 - (8 + -13) - 25)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-362)\/1629)\/((-2)\/81). Solve f - 2*m + 11 = 3*m, 0 = -f - 5*m + c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 16*w - 12. Let p = 154 - 79. Suppose -2*r - 5*f = -7*r - p, -f = 0. What are the prime factors of l(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11420 and 40?\nAnswer: 22840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 684 divided by -1\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*k + 2*k**2 + 728 - 728 + 330*k.\nAnswer: 2*k**2 + 649*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.047 + -0.353. Let s = -475\/8502 - -1\/218. What is the closest to 2\/5 in -5, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -452744, -452743, -452742, -452741?\n\"Answer: u - 452745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a hour in seconds?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22581 and 885677?\nAnswer: 2509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/3383 or 1?\nAnswer: -4\/3383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/2 and -43\/471126.\nAnswer: 471126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(5\/2)\/h**(8\/5))**(-34) assuming h is positive.\nAnswer: h**(-153\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2166258 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 528 = -6*x. Calculate the remainder when 155 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u*u*u*u**2)\/u*u)**(-34\/5)*(u**1)**(-8\/11) assuming u is positive.\nAnswer: u**(-2284\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a + 616 = 45*a. Solve 0 = -30*d + a*d + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*x**4*z - 2*x**4 + 2*x**3*z + 61*x**3 + 34*x**2*z + x**2 + 4 wrt x?\nAnswer: 72*x*z - 48*x + 12*z + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861971 is divided by 43098.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 19 - 14 + 3*j**2 - 5. Calculate b(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*w - 402 - 814 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 140? (a) -0.5 (b) 5 (c) 2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*r + 407259 + 53201. Is 35 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 6:47 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32474 is divided by 4058?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1822349 + 0?\nAnswer: 1822349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 12*d**4 + 11*d**3 - 6*d**2 - 12*d + 374. Let w(y) = 2*y**4 - y**3 + y**2 + 2*y + 1. Let m(v) = b(v) + 6*w(v). Differentiate m(h) wrt h.\nAnswer: 96*h**3 + 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3212 + 3222. Put 39, q, 4, 5 in ascending order.\nAnswer: 4, 5, q, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/(-40))\/(10\/(-50)) + (-2392)\/207.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(60)\/(-1*sqrt(12)))**2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-56)*1*(-20)\/(-15)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8844 = 18*b + 15*b. Let v(x) = -x**3 + 8*x**2 + 3*x - 9. Let o be v(10). Let a = o - b. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3995*b*m + 4*b*x + 11*b + 1257*m*x - x - 29375 wrt m.\nAnswer: 3995*b + 1257*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g**2 - 18*g - 3 = 0. Calculate g.\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -8. Suppose 3*w - 1 = m*c - 69, -4*w + 96 = 5*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 542 (base 9) to base 5.\nAnswer: 3233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 2320383 and 2320378 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 2 + (sqrt(11) - (sqrt(44) + sqrt(11))) + sqrt(11) - sqrt(11)) + (sqrt(11) - (sqrt(176) + 2)**2).\nAnswer: -178 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3799275, -7598548, -11397823, -15197100?\n\"Answer: -u**2 - 3799270*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, u: 2, t: 2}. Give prob of sequence ttu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x + 2751. Let y(s) = -35*s. What is l(y(f))?\nAnswer: -70*f + 2751","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1272 and 13\/1440.\nAnswer: 76320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -66*w + 67*w. Suppose -16 = -10*r + w*r. Solve 0 = 2*k - r*x - 7 - 3, 4*k - x = 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (9 + -163)) + 100\/(-10). Calculate the highest common divisor of b and 18733.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 252*v**2 - v - 60*v**2 - 66*v**2 - 68*v**2 - 68*v**2 + 111 to l*v**2 + g + p*v and give g.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2056.163 + 2057. Let u = d + -0.117. Let o = -0.7182 + u. Round o to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82895430 a multiple of 1158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 13*q + 7. Let o(t) = -6*t - 3. Suppose -3*m = 2*m + 20. Let a(b) = -b**2 - 3*b - 5. Let i be a(m). What is i*o(y) - 4*p(y)?\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 16 (b) 1 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + g + 5. Let x = 40.5 - 50. Let w = x - -18.5. Which is the third smallest value? (a) g (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-177)\/(-59))\/(21\/14). Solve -4*w = -3*h + 3, -2*w + 6*h - j*h = 14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2307513127 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -382*i + 9. What is n(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -39*w**2 - 42*w - 3 = 0.\nAnswer: -1, -1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/1 - (-3 - 1). Let y(d) = -d**2 + 4*d - 3. Let f be y(v). Let b(i) = -i. Let z be b(f). Solve 6 = 2*r - z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 15) in base 3?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.238 + -53.738. Let m = 77.6 + l. Round m to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 - -110. Let a = m - 46.9953. What is a rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/(-28)*((-5)\/(-25))\/(3\/(-30))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-492)\/144 + 264\/99. Sort 86, y, 0.3, 43.\nAnswer: y, 0.3, 43, 86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (154 + 284 - 689)*(3 + 67*f**2 - 44*f**2 - 32*f**2) to the form b*f + d*f**2 + c and give c.\nAnswer: -753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.963016 years to decades.\nAnswer: 0.5963016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/3 - 1258880*h**2 - 10070976*h - 60425728\/3.\nAnswer: -4*(h + 4)**2*(h + 944152)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.2 in 2\/21, -1\/4, 8.7, -3\/8?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 245454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4\/5)*z**(1\/9))\/(z**(-1\/3))**(-32))**(2\/127) assuming z is positive.\nAnswer: z**(-1022\/5715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3572*q**3 - 1410*q.\nAnswer: 21432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -8154*o + 130453. Calculate w(16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -0.3, -0.1, 5.\nAnswer: -60, -0.3, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5159 = 17*c - 18*c, 3*c - n - 15444 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4998 + 4876 = 2*a - 5*r, -4*a = -r + 244 for a.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - f + 9 = 3*n, -3*n + 3*f = 9. Let j(m) = m**3 - m**2 + 1. Let d(u) = 9*u**3 - 6*u**2 + 6. What is n*d(h) - 6*j(h)?\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*i**3 + 7286*i**2 + 2276*i - 2 wrt i.\nAnswer: 456*i + 14572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 66.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24055 (base 6) to base 14\nAnswer: -13b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 b, and 1 t when three letters picked without replacement from {r: 1, b: 3, n: 3, e: 1, g: 2, t: 2}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-9) + (-15)\/9\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l + 109. Determine z(20).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**6\/160 - t**5\/80 - 3*t**4\/16 - 2*t**2 + 8. Factor o(z).\nAnswer: 3*z*(z - 3)*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3082.\nAnswer: 2, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 16. Suppose 14 - 4 = i*t. Is 10 a factor of (-489)\/(-15) - t\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d**(1\/14)\/d)\/d*d*d)\/(d\/d**(-2\/27)) assuming d is positive.\nAnswer: d**(377\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h**2 + 2*h**2 - 13*h**2 - 4*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 0 + 0*r**2 + 1\/6*r**3 + 2*r. Calculate x(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*3\/(-24)*2. Let k(s) be the second derivative of -7*s**5\/20 + s**4\/12 - s**3\/3 + s**2\/2 + s. What is k(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s = 93. Let k = s - -34. Suppose -2*b - o + 5 = 0, 0 = 2*b - k*b + 4*o - 11. Solve 3 = 4*n - b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15260 and 914872?\nAnswer: 498605240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -146 - -158.2. Let a = x - 12. What is the second smallest value in 0.5, a, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + 0 + 1 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3108 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57002014.\nAnswer: 2, 19, 1153, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xllxuu. What is prob of sequence xx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -14 (c) -4 (d) -18 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(1\/5)*p*p**(-1\/2))\/((p**(-3)\/p)\/p*((p\/p**(1\/5))\/p)\/p))\/(p**(-1)\/(p**(6\/11)*p*p)*p\/(p**(-1\/5)*p)*p*p*((p*p**5*p)\/p)\/p) assuming p is positive.\nAnswer: p**(577\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82 and 53985397.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d + 3*d - 3*d + 1 - d - 1 - 4*d + 5*d + 0*d + (1 - 2 + 3)*(6*d - 4*d - 4*d).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-12))\/(9\/(-30)). Suppose 4*x + r*c - 302 - 196 = 0, 3*c - 6 = 0. List the prime factors of x.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 2. Let v = 2 + p. Let z = 0.1 + v. What is the second biggest value in z, 1\/3, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jffjfjj. Give prob of picking 3 j.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 122064 and 91548.\nAnswer: 366192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven quarters of a meter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + 4*(5 + (sqrt(1377) - ((sqrt(1377) - (-2*sqrt(1377) + 4)) + sqrt(1377)))**2).\nAnswer: -864*sqrt(17) + 49659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*16*(-55)\/(-960)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 19. Let c(r) = 9. Let k(x) = -5*c(x) + 2*u(x). Let p be k(-6). Suppose 0 = p*q - 14 - 1. Calculate the highest common factor of q and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -656.315761 rounded to zero dps?\nAnswer: -656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 + 34)*2\/3. Suppose 2 = 2*v - 4*q - z, -2*v - q = -5. Let w be 8\/4 + v - 4. Solve 0 = r - w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3023\/42 - 470\/7. Which is smaller: 5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 130*v**2 + 3*v + 8. What is the hundreds digit of h(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -3. Differentiate 3*v - w*v + v + 2*v**2 - 2 with respect to v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 70 - 110 - 2 - 108.\nAnswer: -2*r - 150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a**2 + a. Let i be n(2). Let p = i - -19. Suppose 2*c**5 - 2*c**p - c**5 = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) -2 (c) 55 (d) -0.04 (e) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.7 + 3. Let p = -1.3 + c. Let y = -72 - -71.9. What is the biggest value in p, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15\/3379 - -180167\/243288. Find the common denominator of -107\/198 and n.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -4, 1\/3, 18.14, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 13*w**2 + 12*w + 2. Let j be i(-12). Suppose -j*r + 4 = -r. Find the second derivative of 5*z**r + 6*z - 2*z**4 - 2*z**4 - 5*z**4 wrt z.\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5 - 9 + 9*g - 2*g + 1 - g**2. Let j be s(6). Solve 0 + j = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-10)*q\/(q*q\/q**(-14)) assuming q is positive.\nAnswer: q**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - r**2 + 3 + 0*r**2.\nAnswer: -3*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -28 + 2 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2548 * -1.204\nAnswer: -3067.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(p**2 - 2*p**3 - p**2)*(0 + 0 + 4*p).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39\/7 + -57\/14. Suppose 3*v = 2*v - 3. Let t = 6 - 8. Which is the closest to t? (a) v (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2300816, 9203322, 20707496, 36813338, 57520848?\n\"Answer: 2300834*i**2 + 4*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 976*t**4 + 435*t**4 - t)*(t - t + t).\nAnswer: -541*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 283*q + 3. Let m be l(-3). Let s = m - -2389. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 37 = -57*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1996631455?\nAnswer: 5, 7, 13, 4388201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 1. Let z = 18 + -18. Determine i(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 46, -5, -1\/6, 1\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -41*y + 58. List the prime factors of k(-5).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z - z - 2*z)*(-2*z + 3 - 3) - 15*z**2 - 12*z**2 + 13*z**2 in the form l*z + c + h*z**2 and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 + 93*f**2 - 37*f + 513. Does 316 divide d(40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*m - 41*m**2 - 66*m)*(0 - m + 0).\nAnswer: 41*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.209 + -7647672.\nAnswer: -7647679.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -16*c + 80. Let k be j(-14). Let g = -273 + k. What is the remainder when 277 is divided by g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2*z + 64, 0*z + 8 = -2*z. Calculate the least common multiple of (-624)\/s - (-4)\/(-14) and (10*1)\/((-2)\/(-4)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 47 = -3*o. Let c be 3\/15 + (-2695)\/o. Suppose -86*d = -90*d + c. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53123 + 116693. What is h rounded to the nearest 1000?\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 3684?\nAnswer: -36840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 74\/4 + (5 - 27\/6). Let x be -44 - -42 - i\/(-8). Factor x*t**2 + 9\/8*t - 3\/2.\nAnswer: 3*(t - 1)*(t + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-1)*k)**(-12) assuming k is positive.\nAnswer: k**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 3:54 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 175*q - 7298. What is u(43)?\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 239, 355, 471, 587, 703?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4673.\nAnswer: 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + a**2 - 2*a**2)*(0 + 1 + 4)*(17073*a**2 - 9264*a**2 - 9641*a**2).\nAnswer: 18320*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2592 - 12318 = 0. Suppose 38*q = m + 19096. List the prime factors of q.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.019607 - 1.33\nAnswer: -1.349607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1084, -1030, -974, -916, -856?\nAnswer: -794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 367000.3 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/5)\/(7\/(-175)). Let a(g) = g**2 + 2*g + 1. Let p(q) = -q**3 + 20*q**2 - 30*q + 18. Let o(c) = -a(c) - p(c). Is o(m) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 460825 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, 2\/13, -945, 1\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4025, -4027, -4029, -4031, -4033, -4035?\n\"Answer: -2*q - 4023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 + 50.000000456. What is f rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*t - 4. Solve r = t*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, c: 7, u: 3}. What is prob of sequence ucs?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.7 + 23. Let d = i + -2. Let n be (-10)\/4*79\/(321530\/296). What is the closest to -2 in d, n, -2\/15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -4.4. Let v = -4.956 - 0.044. What is the third smallest value in y, v, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*s - 75 = -5*s, 0 = 5*s. Let i = -105 + 274. Let y = i + -145. Is q at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idid when four letters picked without replacement from {d: 16, i: 4}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 7:33 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 15 = -13. Suppose -3*i + 3 + 23 = 5*b, 2*i - 2*b = n. Let r be i\/9*5\/20. Which is smaller: -5 or r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/i**(-1\/3))\/i)**(-11)*((i*i*i**(3\/4))\/i)\/(i\/(i\/i**(1\/5))) assuming i is positive.\nAnswer: i**(-787\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 829 - 829 - 188*i in the form r*i + y and give r.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -33.0000001. Round t to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96 - 100) + (3 + -2)*5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 0 - -393*(-3)\/(-9) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 8411*h**4\/12 + 4166*h**2 + 39*h + 111. Differentiate y(t) with respect to t.\nAnswer: 16822*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 - 72\/(-32). Suppose q - 4*q + 9 = -i*g, -6 = -2*q + 2*g. Solve 3*k = -4*u + 3*u + 12, 0 = q*u - k - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**5\/12 + o**3\/6 - 6*o**2. What is z(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5\/5 + 118*w**4\/5 - 1428*w**3\/5 - 37044*w**2\/5 + 203742*w - 6612354\/5 = 0. What is w?\nAnswer: -21, 17, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 4*i = -27. Let y be (18\/15)\/i - (-65)\/25. Let z = y - -4. Solve z = -3*f + 19 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**3 - 6*y**2 - 5*y + 6. Suppose r - 3*r = -102. Suppose 0 = -2*v - v + r. Let x(j) = 11*j**3 + 17*j**2 + 14*j - 17. Calculate v*u(z) + 6*x(z).\nAnswer: -2*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -312 + -4?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7000 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5 + 9*m**4 - 90*m**3 - 500*m**2 + 3000*m = 0. Calculate m.\nAnswer: -10, 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v - 24*v + 3976 = 0. Suppose 12*m - 20*m = -v. What is the remainder when m is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -1 + (-1 + 5 - 3)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 + 320?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107723*z + 9175 = 107997*z + 39589 for z.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-35))\/(7\/(-56))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 c when three letters picked without replacement from ccccccjcccauacaxcccc?\nAnswer: 91\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17859)\/(-5953))\/((-2)\/(-22)*-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93017?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 8*w + 82. Let t be r(-15). Calculate the smallest common multiple of 105 and ((-18)\/5)\/(t\/475).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -46*z**2 - 9*z + 4. Let d be q(2). Let s = d + 520. What is the remainder when s is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmzzzm. What is prob of sequence mzzm?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 231, 196, 149, 84, -5, -124, -279, -476?\n\"Answer: -i**3 - 28*i + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**13*(x\/(x*x**(-2\/7)*x)*x)\/x)\/(x\/x**(-7)*x\/(((x\/((x\/((x\/(x**(2\/5)\/x))\/x))\/x))\/x)\/x)))**16 assuming x is positive.\nAnswer: x**(1616\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 272\/(-72) + 4 + 651787\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 47\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -564318*q**4 + 3056*q**5 + 564318*q**4 + (3*q**4 - 2*q**4 + 0*q**4)*(2*q - 4*q + 4*q) + q**5 - 4*q**5 + 0*q**5.\nAnswer: 3055*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 20 = 5. Suppose -3*i + 3 = -4*c - 0, 3*i + 3*c - a = 0. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202061?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-224 - 22*w + 222 + 5*w)*(-3*w**2 - 1 + 1) in the form i*w**2 + s*w + a*w**3 + x and give a.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -742 = -c - 7*b + 8*b, 3*c = -5*b + 2250. Let o = -121 + c. Is 39 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3791659985 to the power of 1\/2, to the nearest integer?\nAnswer: 61576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 14*f**3 + 2*f**2 + 42*f + 9. Let j(c) = -17*c**3 - 2*c**2 - 42*c - 11. Calculate 5*j(s) + 6*v(s).\nAnswer: -s**3 + 2*s**2 + 42*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -1. Suppose -v - 2 = 2*j - 3*j, l*j = 4*v + 9. What is the remainder when 15 is divided by 3\/(-9)*(-13 - v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 d when four letters picked without replacement from {m: 3, d: 13}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*k**5 - 190*k**4 - 15*k**3 - 4441*k**2 - 6 wrt k.\nAnswer: -660*k**2 - 4560*k - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 13 + 22*o**3 - 18.\nAnswer: 22*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.4 + 3. Let l = -2.4 - u. Let h = 8336\/5 - 1668. Put l, h, -0.3 in ascending order.\nAnswer: l, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1626 is divided by 73.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 2337112?\nAnswer: 5\/2337112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -294 in 0.05, 2, 0.41?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-3\/11))**(2\/45)*p**24\/((p*((p*p**(4\/7))\/p)\/p*p)\/p) assuming p is positive.\nAnswer: p**(81376\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166758?\nAnswer: 2, 3, 27793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40896 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 77489.5 seconds?\nAnswer: 77489500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2854881 = 42*m - 135*m - 698769. What is the ten thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3222 divided by 1556?\nAnswer: -1611\/778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 9 - 1 + 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*y + 113 = -21 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**15)\/(y\/y**(-1\/3)))**(1\/29) assuming y is positive.\nAnswer: y**(-43\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -18*m**3 - 2*m**2 + 62*m + 4. Determine w(4).\nAnswer: -932","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 17*z**2 + 16*z + 2. Suppose 80 = -3*g - 2*g. Let w be h(g). Solve w*v = 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43497970903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 297 + -247. Let g = 52 - j. Which is smaller: g or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -226 - -236. Suppose g*b + 1145 = 15*b. List the prime factors of b.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzhhhz. What is prob of picking 3 h?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/16)*s)**(-13)\/((s*s**(-7)\/s)\/(s\/((s\/(s\/s**(-1\/6)))\/s*s)*s)))**(-14\/3) assuming s is positive.\nAnswer: s**(1015\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 - 20 = -4*g + 4*p, -3*p - 12 = 0. Calculate the remainder when 163 is divided by g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -202615, -202613, -202615, -202621, -202631, -202645?\n\"Answer: -2*h**2 + 8*h - 202621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -111100100001 (base 2) to base 5\nAnswer: -110443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 5)*(2*u - 3 + 3) + 2*u + 0*u - 3*u - u - 8*u - 42*u)*(-80*u + 16*u - u).\nAnswer: 3250*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -5, -0.5, 11, -0.9 in increasing order.\nAnswer: -5, -0.9, -0.5, 0.1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a + 40*a + 18*a**3 - 21*a.\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 8*k + 13. Let t be m(6). Let w be t*303\/(-2 + 5). Let q = w - 45. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151 (base 15) to base 3.\nAnswer: 102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16 times -7\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 33*x - 88. Give m(34).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509271?\nAnswer: 3, 7, 24251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (6 - (0 + 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l - 916 = -840 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 118176.783 - -4.7?\nAnswer: 118181.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in 3\/4, -2\/25, 1\/6?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 385\/1078*2\/(-10).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-48 - -22 - -9)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1\/9 (b) -8\/45 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**5\/270 - s**4\/4 + 28*s**3\/27 - s**2 + 15*s. Determine y so that t(y) = 0.\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 9*x**2 - 3*x - 1. Let w(t) = 27*t**2 - 20*t - 13. Calculate 6*v(y) - w(y).\nAnswer: 27*y**2 + 2*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 0*z**6 - 18\/7*z**7 + 0*z**5 - 40*z + 0 + 0*z**2 + 55\/6*z**3 + 0*z**4. What is the second derivative of a(f) wrt f?\nAnswer: -2160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 285*l - 288*l + 12. Let g(b) = -b**2 + 7*b - 6. Calculate g(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10762 or -2909?\nAnswer: -10762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q. Let c(p) = -5*p + 4. Let b(r) be the second derivative of 5*r**3\/6 - 5*r**2\/2 + r. Let f(i) = -4*b(i) - 5*c(i). Give f(a(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5318 by -232.\nAnswer: 2659\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -71, -0.5, 0.2, 4\/3, -134306?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3886856.85 + 0.5092?\nAnswer: -3886856.3408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 488000 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*v = 38*v + 132*v + 1820 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a minute in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -177 + 181. What is the nearest to -8 in -0.2, 1, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35401530 (base 6) to base 16.\nAnswer: -10dade","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 564, 1974, 4734, 9294, 16104?\nAnswer: 25614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**2\/g)*g*(g*g\/(g**(-1\/3)\/g))\/g)\/(g**(-2\/5))**(8\/5))**(-3\/16) assuming g is positive.\nAnswer: g**(-149\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/25)*v*v\/((v\/(v\/(v*v\/(v**(-18)*v))))\/v))\/((v*v**(1\/4)*v*v)\/v)**(-1\/7))**(11\/6) assuming v is positive.\nAnswer: v**(-40447\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1068, 1100, 1136, 1176, 1220, 1268, 1320?\n\"Answer: 2*v**2 + 26*v + 1040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 676 and 65.\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 116048 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i*w*z - 238*i*z + i - 148*w*z wrt w?\nAnswer: i*z - 148*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30405 + 6415?\nAnswer: -21770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4843 - -4838. Which is the smallest value? (a) 5 (b) w (c) -0.5 (d) -7.5 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17464 divided by 118?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-108)\/(-45))\/3)\/((-14)\/10)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/8)\/1)\/(3\/((-288)\/(-4)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h - 5 - 12 - 11 + 33 - 21. Let u(y) = 2*y - 15. Give -4*g(a) + 5*u(a).\nAnswer: 2*a - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 98 = -173 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -202.3 and -811?\nAnswer: 164065.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25124, -50239, -75366, -100511, -125680, -150879, -176114?\nAnswer: -201391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 15*c**3 - 3*c - 3. What is the units digit of x(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = g + 432. Let l = g - -77. Solve 5*v + 2*c + 9 = -1, -l*v = 4*c + 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -150*l + 8125. Calculate the remainder when 9147 is divided by b(54).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**3 - m**2 + 3*m + 4. Let w be g(-1). Suppose w*t = 25 - 1. Solve 0 = -q - j, -q = -3*j - 0 - t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -3.06.\nAnswer: 18.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -408 + 412. Suppose p = b*m - 1060, 2*m + 8*p = 4*p + 512. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5593796 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 251*w - 221*w. Let z(p) be the second derivative of 0 + w*p**2 - p**3 - 28*p + 0*p**4 + 1\/4*p**5. Find the second derivative of z(a) wrt a.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -2, -18, -30, -32, -18, 18, 82?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odtpa. Give prob of sequence tp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1002*y**4 - 14*y - 311 wrt y.\nAnswer: 12024*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**2 - 10*y - 2. Let n(j) = j**2 + j. Let g = -4 - -5. Suppose -5*t + 3*a = -29, 0 = 2*t + 4*a + 1 + 3. Let b(l) = g*w(l) + t*n(l). What is b(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2858 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*k**5 - 11013*k**4 + 50703*k**3 - 54759*k**2 + 16752*k - 1548 = 0 for k.\nAnswer: -86, 1\/5, 2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/7 (b) 3\/2 (c) -3.26 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (-10 - -3) - 10. Let b be 100\/(-15)*9\/p. Solve 5*d - 3*d = -b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 843 (c) 0.3 (d) 0.97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.11196 rounded to 1 decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + 4 - (2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**4\/12 + p**3\/2 + 3*p**2\/2 - 15*p. What is a(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75.2 - -70.2. Let y = 2.1 + -6.1. Let j = y - -3.7. Which is the fourth smallest value? (a) j (b) k (c) -0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8648219 and 1424.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m + 10 = 0. Suppose 0 = -2*t + 48*f - 44*f + 42, 3*t - 31 = -2*f. Let g = m + t. Calculate the remainder when 71 is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from {f: 1, w: 2, a: 1, s: 5, c: 2, v: 2}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 0. Let h be 7\/(-14) - (-6)\/8. Which is the closest to h? (a) 2\/3 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -127 + 432. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3059791 - 2720729 = -82*u + 372022. List the prime factors of u.\nAnswer: 11, 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiukubuuiuiiiupib. What is prob of picking 1 k and 1 u?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - a. Suppose -12 = -b - a. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(13)))**2 + 5.\nAnswer: 18*sqrt(13) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -259\/304 - -351413\/2128. Let l = x - 164. What is the closest to 0 in -3, l, -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 + 28 = -2*h. Is h at most as big as -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 835*j + 4967. Calculate d(-6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -12 + 8 + -10 + 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 + g - 19. Let p = 1115 - 549. Let w = p - 559. Let t(b) = 2*b**2 + b - 13. Determine w*t(j) - 5*o(j).\nAnswer: -j**2 + 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 68401, 273699, 615847, 1094833, 1710645, 2463271, 3352699, 4378917?\n\"Answer: -2*g**3 + 68437*g**2 + g - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 214114815 to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4763.\nAnswer: 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 1724*m**2 - 3451*m**2 + 1726*m**2. Let h(c) = 3*c**2 - 5. Give t(h(a)).\nAnswer: -9*a**4 + 30*a**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4878 divided by -6.\nAnswer: -813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 7.9. Which is the second biggest value? (a) -0.4 (b) -3 (c) 0 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d + -c44dc1?\nAnswer: -c44db4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(1\/12)*k)\/k)\/k**(-4\/5))**(5\/7)\/((k**1\/k*k*k)\/(k\/(k*k\/k**(-7))*k))**(-41) assuming k is positive.\nAnswer: k**(31109\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12 - 10 - (-2743)\/156 and 47\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -11. Let m(y) be the second derivative of 4*y + 0 + 11\/6*y**3 + 0*y**2. Let s(o) = -2*o. What is r*m(w) - 34*s(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) -1\/4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/73800 and -1\/98400.\nAnswer: 295200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-56)*0\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 5) to base 16.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68 or 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -18*c**3 - 121*c**2 + 47*c + 29. Determine b(-7).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lellelelllelllel. Give prob of picking 3 e.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z + 6. Let l be t(-2). Solve q - l = 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 g, and 2 z when four letters picked without replacement from agaaazjapppzgaaaa?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 61*z + 283. Let v be l(5). Solve -c - v = 4*n, -3*c = -5 - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8*d = -10. Let g be 4\/22 + ((-2808)\/(-462))\/9. Is g < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b. Let w(u) = -9*u. Let a(d) = -7*g(d) + 3*w(d). Let i(m) = -9*m. What is a(i(o))?\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven fifteenths of a hour?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-10))\/((-3)\/35). What is the hundreds digit of (12 - (-28032)\/(-112))*h\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/21)\/((-405)\/(-4536))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7276 + 3?\nAnswer: -7273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v - 20. Let m be h(-11). Let z(c) = 33*c + 8. Let u be z(m). Suppose 2*f - u = -4*p, 0 = -0*f - 3*f - p + 116. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*b - 66*b - 209 = 0 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 661629986?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -479*q + 7682. Determine j(16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2619 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**3\/x)*x**9\/x*x\/(x\/(x*(x*x*x**4*x*x*x)\/x*x*x)*x)*x*x*x*x**14*x assuming x is positive.\nAnswer: x**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5267 + 16*c**3 + 5267.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*j + 58*j - 40*j)*(-2*j + 0*j - 7*j).\nAnswer: -558*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 1\/3, 2\/21, -2\/7, -0.182?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6816100 to the nearest one hundred thousand.\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 95401241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddrpddddddddqdqqpdh. Give prob of picking 1 p, 1 d, and 1 h.\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4 - 3*a**2 - a**2 - a**3 + 2*a + 5*a**2. Determine y(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.8 and 13.\nAnswer: -140.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 76 - (27 - (-95 - -134))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10895, 11188, 11677, 12362, 13243, 14320, 15593?\n\"Answer: 98*q**2 - q + 10798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -0.4. Let x = -14 + 18. Suppose 2*b + 0*q - x = -q, -3*q + 12 = -3*b. Sort l, b, 3 in decreasing order.\nAnswer: 3, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -67 - 52*i**2 + 20*i**3 - 24*i - 63 + 130.\nAnswer: 4*i*(i - 3)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 + 2*o + 2. Let t be a(-1). Suppose 52 = -2*j + 6*j. Suppose -5*s + j = t. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2160553 is divided by 107.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 974311.3mm in nanometers?\nAnswer: 974311300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 86057785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 688285200 by -3.\nAnswer: -229428400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -341 - -101. Suppose -2*p - 294 = -2*z - 0*p, -2*p + 714 = 5*z. Let r = z + a. What is r rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.499059 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 5*d + 4*d - 5*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 90 = -1 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 356, 737, 1118, 1493, 1856, 2201, 2522?\nAnswer: 2813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2151 + 1?\nAnswer: 2152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44192?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 - 2)*3\/(36\/(-32)). What is the derivative of 10*o - 26*o - 158 - 40*o - y*o + 11*o wrt o?\nAnswer: -77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 2}. Give prob of sequence xb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 545874 (base 11) in base 14?\nAnswer: 189879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 348 + 44?\nAnswer: 38c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 - 4*k**4 - 1 + 17*k**2 + 20*k**2 - 1 - 46*k**2 + 14*k**2 - 2*k as f*k**4 + h + q*k + i*k**3 + s*k**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -115 - -76 - (-38 - -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a**2 - a + 3. Let o = -40 - -36. Let w(t) = -t + 1. Let m(l) = o*w(l) + j(l). Determine m(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.95 + 2.7. Let i = 0.8 - y. Which is the closest to 0? (a) i (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * 4.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 61 - 19?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233511 to the power of 1\/2, to the nearest integer?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5180 (b) 1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 334881451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**5 - 2910*s**4 + 23525*s**3 - 44290*s**2 - 23520*s + 47200 = 0.\nAnswer: -590, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 199 - 153.3. Let p = n + -45.9. Let f = 0.17 + 0.02. What is the second smallest value in -0.3, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 1. Let a(g) = -13*g + 3. Give a(s) + 5*j(s).\nAnswer: -8*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaxxaxaaxwxxaiwwahaw. What is prob of sequence hxx?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140926832.\nAnswer: 2, 1297, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*t + 322*t = 595*t - 971 + 35 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1333331011 (base 4) in base 15?\nAnswer: -a5451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/7 and -97\/274.\nAnswer: 1918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 1833?\nAnswer: 18330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -300*v + 6. Let z(o) = 148*o - 2. Give -4*s(r) - 7*z(r).\nAnswer: 164*r - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -271.055?\nAnswer: -542.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50143.53l to millilitres.\nAnswer: 50143530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 12:02 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 9 - 28 + 0 + 1879*d + 390*d + 12.\nAnswer: 2269*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = r + 2*r + 19, 0 = -4*y - r + 11. Suppose 0 = v - y*v + 54. Suppose -4*i = -2*q + v + 44, -q - i = -22. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61987 is divided by 44.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-493 + 514*d**3 - 487 + 3*d + 980)*(-d - d + d) to the form b*d**4 + w*d + k*d**2 + a*d**3 + n and give b.\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4618, 18582, 41846, 74410, 116274, 167438, 227902?\nAnswer: 297666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65039?\nAnswer: 13, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/45)\/(190\/(-337)). Let d = 1\/171 + f. Let q = 57\/2 - 29. Which is the closest to q? (a) 2 (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 191693034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -3*s + 2\/3*s**3 + 0 + s**2 + 1\/12*s**4. Let j be (-24)\/(-28)*(-14)\/4. What is v(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245274 is divided by 52.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102753575 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1058164 is divided by 444?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 6855132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146*f*q**3 + 3749*f*q**2 + 6*f*q - 2*q**4 + 18*q**3 - 2*q**2 wrt q?\nAnswer: -876*f - 48*q + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - -1. Let k = -0.51 - -0.01. Let t = 1\/20 - 47\/140. What is the closest to -1 in t, k, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -988215 divided by 20.\nAnswer: -197643\/4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Sort 7725, 6161, -1, -4.\nAnswer: -4, -1, 6161, 7725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35\/78 - 3\/26. Let l(p) = 19*p - 12*p - 9*p - 19. Let i be l(-7). What is the third biggest value in h, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*((sqrt(171) - (sqrt(171) - (sqrt(171) - (sqrt(171) + -5*sqrt(171)*1 + sqrt(171) + sqrt(171)) - sqrt(171))))\/sqrt(9)*1)**2.\nAnswer: -1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 41*o**2 + 9*o + 29. What are the prime factors of d(-3)?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, 0.4, -1\/3, 0.21, -1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/77556 and 43\/33?\nAnswer: 853116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 4 = -3*a, 4*a - 2*o = -169 + 171 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 2. Let a = w - -5. Which is smaller: a or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 4*q + 49. Let o = -11 - -3. Let z = 29 + o. Solve 4*f + 0*j - q*j + 24 = 0, -2*f + 5*j = z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.8 - -7.6. What is the fourth smallest value in -0.3, -4, 0.11, a?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/15)\/w**5)\/(w\/(w**(-1\/4)\/w))**(2\/49) assuming w is positive.\nAnswer: w**(-7681\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 68308830 and 110840.\nAnswer: 68419670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 - 4*h**5 + 3*h**5 + (2*h**2 + 4*h**2 - 11*h**2)*(-h**3 + 0*h**2 - 2*h**2 + 2*h**3).\nAnswer: -7*h**5 + 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(((-4)\/4)\/47). Let c = y + -16. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 14) to base 4.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/270 and -2723*13\/1872 + 19?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y - y + 4*y)*(2*y + y - 5*y)*(-1 - 27 - 3) to the form j + p*y**2 + c*y and give p.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4741*w - 815526. Determine o(172).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/150 and -83\/103342?\nAnswer: 7750650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**4\/2 - 403*s**3\/4 - 7359*s**2\/2 + 309913*s\/4 + 4944355\/2 = 0. What is s?\nAnswer: -145, -61, -43\/2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60295156 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-1180 - (3 - 5)). Let d = 11904\/5 + o. Let t = d + -79\/4. Find the common denominator of t and -31\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10063)\/(-6246)*21\/(-70)*-5*-2.\nAnswer: -29\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -17*g**4\/24 + g**3\/6 + 4*g**2. Let z be u(-1). Suppose -8*x = -7*x - z. Solve 4*y + 3 - x = 5*i, i + 3*y = -3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*q + 31 = x, -3*x + 3*q = 39. What is the units digit of (x + 11)\/(3\/(-138))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**3 - 9*x**2 - 5*x + 5. Determine w(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -48*x + 6. What is u(1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2366, 9481, 21340, 37943, 59290?\n\"Answer: 2372*o**2 - o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 784 a factor of 15774080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 430728500?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*i - 10*i - 31*i)*(-2 - 7 + 13)*(-4 - 1 + 3) - 1 + i + 1 in the form a + j*i and give j.\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322265.\nAnswer: 5, 64453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*d = -8, -4*h + 84*d - 87*d + 16 = 0. Let u(p) = 5 - 81*p - p**2 + 86*p - 2. Determine u(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.49 in 0.4, 0, 176, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91064 is divided by 806.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(114)\/(sqrt(24)\/sqrt(4)) - (sqrt(171)*3 - sqrt(19))) - (sqrt(95)\/(sqrt(10)\/sqrt(2)*-1 - sqrt(5) - sqrt(5)) + 1)**2)*-5 + -2.\nAnswer: -640*sqrt(19)\/3 + 122\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 - 3*f**3 - 5*f**2)*(5*f**2 - 5*f**2 + 3*f**2) + 130*f**4 - 130*f**4 - 22*f**5.\nAnswer: -31*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2697\/203 + -11)\/(-4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-5 + sqrt(605) + sqrt(605) + sqrt(605) + 0 - ((sqrt(605)*-2 - sqrt(605)) + 3))**2 + 1).\nAnswer: -3168*sqrt(5) + 65535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/1086, 1\/5, -4 in descending order.\nAnswer: 3, 1\/5, -1\/1086, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 19*s. Let q be (2\/(-2))\/(8\/(-104)). Let r(k) = 2*k - 13. Let t(v) = v - 6. Let c(f) = q*t(f) - 6*r(f). Calculate c(n(a)).\nAnswer: 19*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 156 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 4*s + 3*k + 3 = 0, -978*s + 981*s = -3*k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 23*d**3 - 6*d**2 + 42*d**3 + 7*d**2.\nAnswer: 65*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*q + 4, 2*q - 2*p - 3*p = 28. Suppose 23 - 223 = -q*n. Let g = n + -39. Calculate the least common multiple of g and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + 4 + (225 - 243) - -22?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18699 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -734*h + 730*h = -24 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-5) + 886\/(-220) and -91\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12665\/2 + -6585. Let i = c + 2507\/10. Suppose -z = 4, -4*z - 7 = -m + 7. Is i bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 36. Let c(q) = -q**3 - q**2 + 3*q - 4. Calculate the remainder when c(-5) is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 6*y + 10, 5*n - 84 + 48 = 13*y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 4630452205?\nAnswer: -4630452205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**6\/180 + 7*s**5\/15 + 65*s**3\/6 + 62*s. Let j(x) be the second derivative of z(x). Suppose j(o) = 0. Calculate o.\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, h: 2, b: 1, j: 1, n: 1, z: 3}. Give prob of picking 1 h and 1 n.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -528, -1606, -102 in decreasing order.\nAnswer: -102, -528, -1606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.9872612 kilometers?\nAnswer: 987261200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/4 + 128340954*g + 5490466824543372.\nAnswer: 3*(g + 85560636)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1624, -3256, -4894, -6538, -8188, -9844, -11506?\nAnswer: -13174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 75852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*t - 44*t = 768 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8887665.6 rounded to the nearest one thousand?\nAnswer: 8888000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, 1, 5.\nAnswer: 1, 5, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrvr when four letters picked without replacement from {v: 2, r: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1255576 + 1579*u**3 + 1255576 - 1591*u**3.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41.4 + -8.6. Let d = -50.00045 - t. Round d to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 8*j**2 - 9*j - 10. Let r be v(-7). Suppose -12 + 0 = -r*i. Suppose -4*l = -i*l - 37. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16426*j**3 + 2111*j**2 - 35019601*j wrt j.\nAnswer: -98556*j + 4222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -128\nAnswer: 3\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*i**2 + 9*i**2 - 7*i**2 + 0*i**2 + 2*i**2 - i**2 + (0*i + 2*i - 3*i)*(2*i + i - i) + (3*i**2 + 3*i**2 - 4*i**2)*(6 - 2 - 8).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 18. Let h be n(-12). Let d = h - 148\/5. Factor -d - 4\/5*p - 2\/5*p**2.\nAnswer: -2*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -180, 2\/3, 5, 4 in decreasing order.\nAnswer: 5, 4, 2\/3, 0.3, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, 4, 1 in descending order.\nAnswer: 5, 4, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 (base 16) in base 13?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*f = -117 - 37, 0 = 4*x + 3*f - 151. Let q = 104 - x. 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 the next term in -205, -435, -663, -889, -1113?\nAnswer: -1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -16*v + 8*v + 7*v - 3*v**2 + 2. Let l be p(-1). Solve y + 4*y + 15 = l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 9) + (6 - (0 - -3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 918\/63 + (-100)\/28 + 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l. Let y(k) = 5*k**2 + 460*k - 25498. What is j(y(a))?\nAnswer: 15*a**2 + 1380*a - 76494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05783 - -0.14217. Let r = 0 + 2. Which is the third biggest value? (a) -0.6 (b) -3 (c) r (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**(-3\/10)\/a)\/a)**(-43) assuming a is positive.\nAnswer: a**(559\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6637.81944 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-42)*434\/(-930).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 13*f**2 - 4*f - 15. Calculate p(12).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 605807149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2523 is divided by 250.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 4*d**2 - 3*d + 1. Let j be (-1)\/((-1)\/(-4))*1. List the prime factors of p(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*u**4 - u**3 + u**3 - u**4 - 2*u**4 + u**4 + (u - 5 + 5)*(2*u**3 - 4*u**3 + u**3) - u**4 - u**4 + u**4 + 6*u**4 - 17*u**4 + 9*u**4.\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y = -y + 3*y - 184 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7570 and -1390.\nAnswer: 6180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1373 times 1.119?\nAnswer: -1536.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 26*w - 1. Let g be m(2). Find the second derivative of -45*h**3 + g*h**3 + 3*h - 13*h wrt h.\nAnswer: 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 14906*n + 2235886. Calculate j(-150).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -436, -337, -226, -97, 56, 239, 458?\n\"Answer: z**3 + 92*z - 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) + (-1 - (-1432)\/12). Let m = -124 + j. Let r(p) be the third derivative of p**4\/24 + 2*p**3\/3 - 2*p**2. Determine r(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -9*c**5 + 17403*c**4 + 198038*c**3 + 684256*c**2 + 746880*c = 0.\nAnswer: -6, -8\/3, 0, 1945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*t - 16. Let s(q) = q - 8*q**2 - 5*q**3 + 4*q**3 + 2 + 9. Calculate the remainder when s(t) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243 and 173442?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*h - 14 = -6, -2*c + 24 = 5*h. Suppose 2*d = -c*d - l + 68, l = 2*d - 40. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010001100100 + -1100?\nAnswer: -101010001110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 - -44.3. Let u = 5.7000028 + t. Round u to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 40.5.\nAnswer: -40.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 8*v + 7. Let b be h(-5). Let q(r) = -r**3 - 5*r**2 - 10*r - 11. Let k be q(b). Suppose 3*y = 3*a - 1962, -3*y - k = a - 911. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29280 - -2371750\/81. Calculate the common denominator of 65753\/49632 - 2\/(-33) and r.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 290 = 4*n, -2*k + 3*n + 110 - 1 = 0. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427850 is divided by 38787?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -41*d - 375. List the prime factors of c(-28).\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 83816152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 104*q. Let t(z) = 104*z. Give -3*t(g) + 2*x(g).\nAnswer: -104*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.548 minus 669032780?\nAnswer: -669032780.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6982 - 2143. What are the prime factors of u?\nAnswer: 3, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 + 13030?\nAnswer: 13201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 792 and 72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 3:27 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 465, 425, 387, 351, 317, 285?\n\"Answer: k**2 - 43*k + 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 - 115.3. Which is the smallest value? (a) 1\/25 (b) p (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbhbhbhbbb. Give prob of picking 2 h and 2 b.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(sqrt(1980) + sqrt(55)))\/sqrt(11) + sqrt(605) + 2*sqrt(605)*3 + 0)*-3)**2.\nAnswer: 108045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 421, 835, 1247, 1657, 2065?\n\"Answer: -l**2 + 417*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 92627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221 - 4925.6.\nAnswer: -4704.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -696 + -0.5.\nAnswer: -696.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -207, -312, -417, -522?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135032 and 1000.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -23, 2, -157806 in increasing order.\nAnswer: -157806, -23, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/8*r**2 + 3\/8 + 0*r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 + 11)*6\/20. Let y = 0.58 - 1.48. Put q, y, 0.1 in increasing order.\nAnswer: y, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 16 (c) 0.1 (d) -0.09 (e) 5\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-48)\/(-9))\/4)\/(1\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1065 times -2\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 3\/2*n**2 + 3\/20*n**5 - 6*n - 1\/2*n**3 - 1\/4*n**4 + 0. Suppose d(w) = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3 - 1.07. Let q = c - -0.29. Let a = q - 0.51865. What is a rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 1, 210, -17, -3 in increasing order.\nAnswer: -17, -3, -2, 1, 5, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (15 - 12 - -17).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, w: 3, f: 2, z: 3}. Give prob of sequence zxww.\nAnswer: 27\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6550349 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 10:57 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -554, -690, -806, -890, -930, -914?\nAnswer: -830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 2, 193 in descending order.\nAnswer: 193, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 183, 253?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 - -54. Put 2, 0, h, -3 in increasing order.\nAnswer: h, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10491108*x**5 + 64847193*x**2?\nAnswer: 629466480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 8:44 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.711 + 1.611. Let n = 0 - 0. What is the nearest to -1\/2 in n, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(5200) + sqrt(5200) + (-1*sqrt(5200))**2).\nAnswer: 120*sqrt(13) + 15600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17368, 68649, 154116, 273763, 427584, 615573, 837724?\n\"Answer: -z**3 + 17099*z**2 - 9*z + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 0*u**5 + 0*u**4 - 5\/2*u**3 + 4*u**2 + 0*u**6 - 48 + 3*u - 37\/14*u**7. What is the second derivative of j(g) wrt g?\nAnswer: -2220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 60*v + 79. Let j be r(-1). Solve -238 = -53*n + j*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16\/13*p**2 - 2\/13*p**4 + 0 + 10\/13*p**3 + 8\/13*p = 0. Calculate p.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 + 2 + 0 + 3128*r**2.\nAnswer: 3128*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17*(-12)\/(-918))\/((-4)\/(-6))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 24*u - 133. Let j be l(-9). Suppose 0 = 2*h - j*w - 1478, -5*w = 5*h - 3*w - 3695. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**2 - 4*k**2 + 5*k**2 - 9*k**2 + 1237 + 12*k**2 to the form c*k**2 + b*k + a and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f - 30*f**3 - 1 + 28*f**3 - 3*f**2 + 2*f**2 - 2*f**2 to r*f + y*f**3 + j + z*f**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0*m)\/m)\/m*m**(2\/35)*(m\/(m**(1\/8)\/m))**24 assuming m is positive.\nAnswer: m**(1542\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*r - 30*r - 33*r + 25 in the form p*r + k and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 928.8858 millimeters?\nAnswer: 928885800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4924230.4 to the nearest 10000.\nAnswer: 4920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from hhtth.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4960 is divided by 1647.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1103 = -4*q + 5*n - 1551, 5*q + 3343 = 2*n. Which is smaller: q or -666?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 5*q = 75, 2006*q - 2007*q = y - 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 45*z + 70. Let p(l) = -l**2. Let w(y) = -m(y) + 6*p(y). Factor w(c).\nAnswer: -5*(c + 2)*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -682568 by 4162.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 6 = -30. Let r = 0 - -2. What is the third derivative of 4*d**r - 6*d**2 + 2*d**3 - 3*d**3 - 8*d**i wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 19.81759 hours?\nAnswer: 71343324000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 13 + 1 = 0, 0 = -m - 3*q - 22. Let s = m + 20. Suppose -15 = -5*u + s. Sort -4, u, 2 in decreasing order.\nAnswer: u, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1804)\/(-11)*180\/720?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10725 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -681*x + 688. Let q be k(1). Solve 13 - q = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/18? (a) 3 (b) -234.8 (c) -21 (d) 0.3 (e) -1\/3 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 32 = v. Solve -2*z = 2*z + v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 6\/(-3) + -1. Let r = p + 1. Suppose -301*f + 324*f = 69. What is the smallest common multiple of f and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49821233027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -3*d - 148 + 120, -q - 4*d - 24 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/120 - (204\/(-9))\/4. Let l(s) = -s**3 + 5*s**2 + 6*s + 5. Let j be l(6). What is the nearest to -3\/7 in j, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 12*w + 30. Sort 0, w, -3 in descending order.\nAnswer: 0, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111441004 (base 6) to base 16.\nAnswer: -1f2b5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 936019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -3\/2*l**2 + 0*l + 1\/4*l**4 - 2\/3*l**3 - 25. Let d(i) = 0. What is i?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*x + 72, 0*q = 2*q - x - 33. Factor 19*y**2 - 31 - 96 - 4*y**3 + q + 84*y + 9*y**2.\nAnswer: -4*(y - 9)*(y - 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 4, 2.3, 2\/3 in descending order.\nAnswer: 4, 2.3, 2\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4592902948.\nAnswer: 2, 79, 149, 97547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 1485.88991211955?\nAnswer: 1487.88991211955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-5 - -6) - (16 - 15)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5762016 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491704419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*i - 2 = -5, -5*i - 5 = 3*r. Suppose 0 = 2*k - r*k + 644. Let w = 513 + k. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k. Let s(x) = -124*x**2. What is s(y(n))?\nAnswer: -1116*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 0*w + 2 + 5*w + w**2 + 4. Let a(k) = -k**3 - 5*k**2 - 3*k. Let f be a(-4). Let d be h(f). Solve -d = -3*i - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-34)\/12 - (-9 - -5 - -1). Factor 0 + 0*c + 0*c**2 + r*c**3.\nAnswer: c**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.386474 to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13\/180 + 121\/180. Let p = 1.8 + -2.8. What is the closest to p in 0.5, 0, 5, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -30 (c) -3131\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - -14. Solve f = -4*f + z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 10011*p + 140530. Calculate j(-14).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 30046 = 20795. What are the prime factors of n?\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**5\/10 - u**4\/2 - 3*u**3\/2 - 123*u. Calculate l(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**4\/4 - y**3 + 3*y**2\/2 - 18*y - 2. Let g = 280 + -274. Does 36 divide i(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 90.34678450491 and 2.\nAnswer: 92.34678450491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12381338\/275 + 45023. Find the common denominator of -71\/35 and x.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v + 0*v**2 - 1\/6*v**3 + 0*v**4 + 0 - 1\/10*v**5. What is the second derivative of p(b) wrt b?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and 188.\nAnswer: 11.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 826218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2248 and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 626 - 500. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 - p**3 - 3*p**2 + 4 - 5 + 3*p. Let h be n(-3). Let g = h + -25. Solve -3*l + 0*a = 2*a - g, 0 = l - 2*a + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 278316*k + 3339745. Determine u(-12).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*f - 691*b*q**3*x - 3*b*q*x**2 - 9*f*q**3*x**2 + 5058*f*q**2 wrt b.\nAnswer: 2*f - 691*q**3*x - 3*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/5 >= -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309239, -309618, -309997, -310376?\nAnswer: -310755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*x = 10, 3*d + 7*x = 6*x - 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5019?\nAnswer: 3, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -39*k + 41*k, 4*k = 4*w - 12 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7*x - 84 + 4 + 72 + 1 + 2. Let a(j) = 11*j + 8. Let n be 2\/(4\/(-2))*2. Let h(d) = d**2 - 2*d - 3. Let l be h(n). What is l*a(q) + 8*u(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.702 - 0.298. Which is the nearest to 2\/3? (a) 1\/4 (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 65664 = k. Let g = k - 124336. What is g rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 41*w**2 + 33. Let j be n(41). Suppose -j*s = -35*s + 1740. What is the highest common factor of 30 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 - 96 = -4*t. Suppose t = 2*s + 14. Is (-5190)\/(-4)*s\/30 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from {r: 3, a: 9, h: 3, q: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(7*a**2 + 0*a**2 - 2*a**2 - 14*a**2 - 200*a + 200*a + (0 - 5 + 6)*(0*a**2 + 0*a**2 - 2*a**2)) to the form y*a**2 + c + k*a and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1530 - -36676\nAnswer: 38206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -430500 to the nearest 10000.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1878643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 + 36)\/((-41)\/(-10) - 40\/(-100)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*s - 5663 = -5*h, -s = 5*h - 9409. What is the second derivative of 2*f**2 - h*f + f**2 + 1879*f wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2535\/2 - 1269. What is the nearest to -3 in -0.8, -2\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*s - 4*r, 0 = 4*s + 3*r + 30 + 10. Let h = s + -23. Let b = 82 + h. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/3)\/f**3)**(-5\/18))**9 assuming f is positive.\nAnswer: f**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4*sqrt(6)\/((sqrt(12)*-4)\/sqrt(4)) - (3 + -2*sqrt(2) + 2 + sqrt(2) + 4)))**2.\nAnswer: -36*sqrt(2) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2323479446 to the nearest integer?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 276961969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 146\/220 - 0 - (-94)\/(61100\/(-195))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -40 - -1a?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 726*l + 13096. Let s be m(-18). Solve -s*z + 54 = -19*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 277 or 278?\nAnswer: 278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000205509 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssqyyysy. Give prob of sequence yyq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/8)\/(609\/812)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89\/146 - 105\/292. Determine l so that -r*l**5 + 0*l**4 + 0*l**2 + 1\/4*l**3 + 0 + 0*l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157246 (base 10) in base 13?\nAnswer: 5675b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9210629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2443 (base 5) in base 11?\nAnswer: -30a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 38*k - 4 + 2.\nAnswer: -38*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 + 41. Suppose -50 = -q*h + 182. Let v = h - 47. Which is smaller: 9 or v?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22366, -22381, -22396?\nAnswer: -22411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.08. Let p = h + -0.32. Let f = -0.4 - p. Is 2 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (13 - (-5 - -9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 4, 56, -17 in descending order.\nAnswer: 56, 4, 4\/3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/g**(-2)*g))**27\/(g**(-2))**(12\/11) assuming g is positive.\nAnswer: g**(-1164\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfl when three letters picked without replacement from llfff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7b1 - 20b?\nAnswer: 5a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 3*v + 3*v)*(10441 + 926 + 5696 - 3414 + 6185).\nAnswer: 39668*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*g + 7*g. What is the remainder when (1*g)\/((-8)\/56) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 2 - (-3 + 4 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5646255 to the power of 1\/2, to the nearest integer?\nAnswer: 2376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 + 41*o**3 - 7*o + 21 + 14*o**3 + 8*o - 15*o**3 in the form z + b*o**2 + v*o + h*o**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11\/((-11)\/2))\/15. Which is the third smallest value? (a) 12 (b) 0.5 (c) -1 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -932, -4112, -9416, -16844, -26396, -38072, -51872?\nAnswer: -67796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 11:19 AM?\nAnswer: 626","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.05, 5, 9974\/297.\nAnswer: -0.2, -0.05, 5, 9974\/297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2. Suppose 0 = g - 5*l - 2 - 10, -4*g + 3*l + 14 = 0. Suppose -g + 12 = 2*t. Let q(n) = -t - 5*n**2 + 5. What is q(w(d))?\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231358 is divided by 11556?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 83 - 26. Suppose -2*c - u = -3*g - 11, 2*g - 3*c = 39. Find f such that -12*f + g*f - 2*f**2 + 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*r + 11. Suppose -b - r*b = -760. What is the greatest common divisor of 19 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67513 is divided by 11251?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*z - 2561, -5*z = 3*x - 714 - 3555. Is z a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01167722 to five dps.\nAnswer: -0.01168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 4*w + 3*z, 2*w - 4*w + 5*z = -25. Suppose -l - 8 = c + l, 4*l = -w. Let p be 0 + 1 + (-1)\/(-1). Solve p*h - h = -c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 2*r + 1. Let a be l(2). Let g(j) = -3 - 186*j + 4*j**3 + 10*j**2 - 5*j**3 + 180*j. Calculate the remainder when g(a) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19111\/6 - 3285. Let m = t + 100. What is the nearest to 0.1 in 1\/3, m, 3\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1929 or -1928?\nAnswer: -1929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5709450 and 40800?\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 1565339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**6\/20 - u**5\/12 - 47*u**4\/24 + 53*u**2. What is the second derivative of t(s) wrt s?\nAnswer: -36*s - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (9 - 28 - -17)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 299999243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -34 (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 572272 divided by 6088?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3789 by -23.\nAnswer: -3789\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 599609489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(20\/16) - -883. Suppose h = 7*a - 4*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 49*x**2 - 27*x**2 - 24*x**2. Let b(u) = 8*u - 1 + 5 - 4. Give k(b(g)).\nAnswer: -128*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 4*t - 4. Let v(w) = w + 9. Let d(r) = -9*h(r) + 4*v(r). Let q(l) = -8*l**2. Calculate d(q(j)).\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 359 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/5, 0, -1109 in descending order.\nAnswer: 3, 2\/5, 0, -1109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 26423 and 26426 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9343 - 168175\/18. Let t = -4\/709 + -64487\/5672. What is the common denominator of w and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(sqrt(245) + 0) + 1 + (sqrt(245)*1 - sqrt(245) - sqrt(245)) + (-1*sqrt(120))\/(sqrt(30)\/sqrt(45) + sqrt(6)))**2.\nAnswer: 124*sqrt(5) + 4869\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -17, -22, -27?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**3\/3 - 2. Let o(v) = 5*v**2 - 4*v + 4. Let d(c) = -6*c**2 + 5*c - 5. Let j(z) = 4*d(z) + 5*o(z). Calculate j(y(q)).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 + 7. Is q a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*c**4*n**2 + 2019*c**3*n**3 + 56431*n**3 - n wrt c.\nAnswer: 36*c**3*n**2 + 6057*c**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3341 + -3412?\nAnswer: -12303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.255 - -0.255. Suppose 2*s - 32 = 3*l, 4*l - s = 18 - 54. Let h be (6\/(-52))\/(6\/l). Which is the biggest value? (a) u (b) h (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u + 330 = -7*u. Suppose -6*g = -5*g - 123. What is the least common multiple of g and u?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10817\/184 - -231\/8. Let h = 30 + q. Let u(o) = -o**3 - 9*o**2 - o - 11. Let p be u(-9). Which is the smallest value? (a) h (b) -0.02 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/((-1479)\/2652)*(-1)\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -7*d - 60. Let s be 4\/7*d\/(-2). What is the tens digit of (9*s\/(-5))\/(2\/(-55))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3999 smaller than 3999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 9*x**2 + 8*x + 5. Let w be p(-8). Suppose -w = 5*r - 5*f, -2*r + 2 = -r - 4*f. What are the prime factors of (-33)\/r + 4\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9447.\nAnswer: 3, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65)\/(-26)*(-126)\/45?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*d + 28*d - 22 + 693*d - 45*d.\nAnswer: 947*d - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 453\/27 - (-11 - 63\/(-9))\/18.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60882248*c**3 - 2*c**2 - 138869907.\nAnswer: -365293488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-66)\/(-18) + -4)*6. Let m(h) = -2*h - 9. Let n be m(-6). Suppose n*w - 12 + 3 = 0. Put -2\/23, 2\/9, w, r in decreasing order.\nAnswer: w, 2\/9, -2\/23, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 3*i**2 - 5*i - 3. Let b be m(-4). Let o = -5 - b. Let k be (4\/o)\/(5\/(-15)). Solve -g + 5 + k = 2*d, 0 = 4*d - 3*g + 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 10*v**2 + 2*v - 5. Let k(a) = a**3 + 16*a**2 + 15*a - 12. Let x be k(-15). Let q = x + 22. Calculate the remainder when 39 is divided by t(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z + 5460. Let w = 1200 - z. What is w rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 982.9724l to millilitres.\nAnswer: 982972.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14333 and -455952?\nAnswer: 441619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-12) - ((-295)\/(-30) - 9). Let z be x\/(-4) + (-2 - 60\/(-16)). Solve -7 = 3*o - 0*g + z*g, -3*o = 4*g + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.24 - -0.24. Which is the nearest to v? (a) -1\/3 (b) 1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 10 = 19. Let b(o) be the third derivative of 4\/27*o**s + 0*o - o**2 + 0 - 1\/27*o**4 - 1\/90*o**5. Suppose b(v) = 0. What is v?\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.8732*-2.\nAnswer: -55.7464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c = -5*f - 128, -3*f = -2*c + 66. Calculate the common denominator of 461\/72 - (-6)\/c and 58\/7*(-28)\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53598 divided by 1?\nAnswer: 53598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 331 = 222. Let c = v - 75. Solve 2*h + i + 6 = -0*h, -c*h + 2*i = -4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**6\/120 + q**5\/15 + q**4\/8 - q**3\/3 - q**2. Suppose -30 = 10*r - 0*r. Calculate g(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3\/7 + 1556380*v**2 - 14836560432856*v\/7 - 385757936079568\/7 = 0.\nAnswer: -26, 2723678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/42 and 103\/173208.\nAnswer: 173208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Let f = 2.65 + 2.35. Which is the second biggest value? (a) q (b) -0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-18))\/(62\/(-279))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -80.9, -25, 2\/77 in descending order.\nAnswer: 2\/77, -25, -80.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o\/o**(-4\/7))*o))\/o)\/o)\/(o\/((o**5*o)\/o))*((o**(-2\/7)*o)\/o)**(6\/29) assuming o is positive.\nAnswer: o**(510\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 2 + (18 - 12) + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 33 = -2*d, 5*d + 1 = -2*y - 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -228*b - 113729. Give g(-499).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2. Let y(l) = 71*l - 32. Let s(w) = 71*w - 40. Let d(m) = 4*s(m) - 5*y(m). Give r(d(c)).\nAnswer: -5041*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = c + c. Let u = -2 - c. Suppose -u = -2*w + 50. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - (48 + -48 + 33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -35, 0.5, -8, -3464?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47\/((-50666)\/27244) - -25?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by -6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -281 in increasing order.\nAnswer: -281, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2*i - i)*(-31*i**4 - 54*i**4 + 9*i**4) - 2*i**3 + 2*i**3 + 4*i**5 + 5*i**5 + 0*i**5 - 3*i**5 + 3*i - 38*i**5 - 3*i + 18*i**5.\nAnswer: -90*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2658 - -3898. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3*y - 13 = 0, 5*t + 1990*y - 3 = 1988*y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b - 11. Let c(a) be the second derivative of a**3\/2 - 3*a**2 - a. Let q(d) = -11*c(d) + 6*g(d). Let v(r) = -2*r**2. Give v(q(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 13747822.403.\nAnswer: 13747822.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 11:25 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.857 from -153048.\nAnswer: -153051.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2139298 divided by -82.\nAnswer: -26089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 7*h - 52. Let y be g(12). Suppose -4*j = -32 + y. Sort -4, -1, -6, j.\nAnswer: -6, -4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 q when two letters picked without replacement from hqxqhoh?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -13\/19, 2, 0.4, 0.3, 4\/11, -1.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2. Let n(c) = -11*c - 14. Let u(y) = 5*y + 8. Let r(z) = 4*n(z) + 7*u(z). Determine r(t(x)).\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a + 3*a + 26 - a**2 + 0 + 0. Let m be g(10). What is the greatest common factor of 12 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13575 and -715.\nAnswer: 9706125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - -8. Suppose -q*t + 22*t - 1614 = 0. Round t to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 8) + -2 + -3 - -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnffmnnffmnnmnncmf. What is prob of picking 1 c, 1 m, and 1 f?\nAnswer: 25\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z + 27. What is a(-16)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1459830 and 3\/169?\nAnswer: 246711270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 10:59 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01001143 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from {d: 1, w: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 820 = -3*i, 3*i - 292 = -4*v + 504. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/12)\/c**(-1\/11))\/((c**(-3\/4)\/c)\/(c*c**(1\/2)*c)) assuming c is positive.\nAnswer: c**(281\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g*g**(2\/13)*g*g*g*g)\/g*g*g\/(g\/g**21)*g*g)\/(g**(5\/2)\/g**2) assuming g is positive.\nAnswer: g**(771\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 a factor of 710228375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136957 divided by 78.\nAnswer: 136957\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 3. Let t(b) = 7*b - 3. Let k(s) = -6*s + 3. Give z*t(m) + 5*k(m).\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1052 - -7246. Let t be r\/6 + 16\/24. Suppose t = 7*q - 367. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1968554 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 182*w + 2*w**4 - 2*w**4 + w**2 + 1 - 181*w + w**4 as r*w + b*w**4 + q + v*w**3 + p*w**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 429516 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 52, -0.194?\nAnswer: -0.194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 61742366.\nAnswer: 246969464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1276430 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 73.39889um?\nAnswer: 0.007339889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 163, 150, 137, 124?\n\"Answer: -13*c + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 22*z**2 - 8*z - 9. Let o(w) = -11*w**2 + 4*w + 4. Let a(b) = -9*o(b) - 4*t(b). Let q(c) = 6*c. Determine q(a(l)).\nAnswer: 66*l**2 - 24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 y when three letters picked without replacement from ccyccccccccccccccc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28.4 - 51.2. Let v = p + -3.6. Round v to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*i + 4*z - 6*z, 4*i = -4*z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8001 - 63917\/8. Find the common denominator of 19\/20 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y + 113. Let c be v(-24). Suppose b = 2*n - c, -2*n + 0*b = -4*b - 20. Solve 0*l - l + w - n = 0, -5*l - 22 = w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*v - 1857 + 264, -1940 = -5*w + 4*v. Let g = -374 + w. Solve 6 = 6*h - g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25 + -24?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -1)\/(17 - 16). Solve q*d = 5*d + 2*c - 7, -16 = 4*c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - m + 1449*m**3.\nAnswer: 1449*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 - 5*a**2 + 4*a + 2. Suppose 0 = 9*k - 6*k - 9. Let d(h) = -1. Let n(r) = k*d(r) + l(r). What is the units digit of n(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 2:12 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 7:38 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -34324 (b) 2\/21 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15011 is divided by 14991?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - 32. What is the smallest common multiple of 27 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13040.79 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/16952 and 77\/4238?\nAnswer: 16952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -20111 (base 3) in base 5?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*y + 98, 5*t + y + 4*y = 90. Calculate the remainder when t is divided by (-27)\/(648\/(-16)) - 13\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*i - c, -4*i + 22 = c + c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5356 - 5126. Calculate the remainder when k is divided by 134.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.067 - 0.249. Let w = l + 6.316. Let r = 86\/35 + -20\/7. What is the nearest to w in 0.1, r, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5254 + 7964. Is b a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 bigger than 1606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 - 4*c**2 + c. Let u = -93 + 100. Let j(x) = 2*x - 15. Let a be j(u). Let v be 8\/2*(-4)\/8 - a. Let r(t) = -t**3 - t**2 - t. Give v*r(q) - n(q).\nAnswer: -q**3 + 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(3) - sqrt(27)*2).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 8*i**2 - 8*i - 7. Let y be o(9). Differentiate 4 - 3 - 3*d**3 - y*d**3 + 4*d**3 wrt d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536 a factor of 1652890090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -111102232031 (base 4) to base 5\nAnswer: -2412103314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4215*x + 6. Let g be o(-5). Let p = g - 4927. Suppose t - p = 3846. What is t rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23338 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2046913 millilitres to litres.\nAnswer: 0.0002046913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 15. Let q(b) = -70*b**3 - 4*b**2 + 2*b + 75. Determine 5*g(r) + q(r).\nAnswer: -75*r**3 - 4*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0*-7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.5 (c) 1\/6 (d) 0.82 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-24))\/(4\/(-16)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * 1.88\nAnswer: -0.1316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10140 - 10139.74662. What is h rounded to 2 decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/4 of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x - 36. Determine y(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 12257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t = -636. Suppose 3*b - t = b. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*v - 76*v + 115 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a millennium in months?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**5*i)**(-1\/17)*(((i\/i**(-3\/4))\/i*i)\/i)**(-6\/25))**(1\/21) assuming i is positive.\nAnswer: i**(-1\/5950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + z = -3*z - 276, 0 = 5*c - 2*z - 278. Let n = 1 + -46. Let y = c + n. Solve 5 = 4*g - y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x - 22 + 158. Suppose x*c - 122704 = c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 29. Is 1 + (44 - f - -2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56080*p + 56062*p - 112143*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -324, -335, -350, -369?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 224307073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/5 + 6\/15. Let d = t - -24. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 492 - 495. What are the prime factors of 3\/9*(z + 31*54)?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 - -78. Let j(p) be the second derivative of 0*p**3 + 1\/6*p**z + 0 - 2\/3*p**6 - 2*p + 0*p**2 + 1\/10*p**5 + 8\/21*p**7. What is h in j(h) = 0?\nAnswer: -1\/4, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/5325 and 67\/3550.\nAnswer: 10650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 8, 2*n - s = -0*s + 4. Let y(t) be the second derivative of 0 + 0*t**2 - 1\/10*t**n + 1\/20*t**4 - t. Factor y(b).\nAnswer: 3*b*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppcv when four letters picked without replacement from {c: 10, x: 2, p: 4, v: 4}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.97 + 0.03. Let p = -0.2 + 4.2. Let y be -3*-1*(-2)\/8. Which is the closest to n? (a) -0.4 (b) p (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.57 - -5.9. Let s = -17 + 16.77. Let f = s + m. What is the nearest to f in 0.3, 3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1550, -12323, -41554, -98471, -192302?\n\"Answer: -1538*l**3 - l**2 - 4*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*f - 14, -4*c - c + 22 = -3*f. Suppose -129999995 = -5*g + 3*z + 2*z, 0 = c*g + 2*z - 52000002. What is g rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**4\/4 - 4*h**3\/3 - 51*h**2\/2 - 90*h - 859. Let y(m) = 0. Calculate m.\nAnswer: -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)\/(c*c\/(c\/(c*c**3\/c))))\/(((c*(c**(4\/3)\/c)\/c)\/c)\/c**(-3\/2)) assuming c is positive.\nAnswer: c**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444014 is divided by 611?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-1)*-1)\/(2\/(-1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21.416245 and 10.\nAnswer: -214.16245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 7*t**2)*(-t + 0*t + 2*t).\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/((-48)\/(-60))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 4. Let u be c(-15). Let a = 8 - u. Suppose 2*f + 0*f + 8 = 0. Sort f, a, 4 in decreasing order.\nAnswer: 4, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*(1178\/(-651))\/19?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:22 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*f + 2 = -67*f. Is 32 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3990*5159\nAnswer: -20584410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7142661*b**3 - 84263176 wrt b.\nAnswer: 21427983*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 9847.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**3\/3 - 15*o**2 + 354*o - 3. Calculate q(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-4.74852.\nAnswer: 23.7426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m = 2*m - 7562. Calculate the remainder when m is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*h + 22668 = 68*h + 4758. Solve -h*s + 85*s - 10 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673 is divided by 176?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 45. Let x = o - 17. Sort x, 15, -4 in ascending order.\nAnswer: -4, x, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 7:46 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 203*(-10 - 2486\/(-77))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 14*x + 4. Determine u(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 3. Let j(l) = 17*l + 36. Let q(m) = j(m) - 6*k(m). Is q(31) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 12*z - 30. Suppose 0 = z*o - 2*o + 32000. Let r be (-120)\/(-16)*o\/3. What is r rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9454 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 1.12?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7738*0.3808\nAnswer: 2946.6304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207776790 and 585.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 151*u**3 - 7*u**3 + 2*u - 4*u.\nAnswer: 144*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(4 - 7)*-1. Suppose 51 = 3*a + s + s, 45 = d*a + 4*s. Let y = 90 - 34. What is the remainder when y is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1\/28 (b) 0.4 (c) -3\/137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnpxnxqpppppxc. What is prob of picking 2 x?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 33 = -22*o. Sort -242, -3, o in decreasing order.\nAnswer: o, -3, -242","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065835977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/204 and -31\/72.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**6 - 35077*a**4*g**2 + 84*a**2 - 53*a - 47*g**2 wrt a?\nAnswer: -240*a**3 - 841848*a*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4211, 4226, 4265, 4340, 4463, 4646, 4901?\nAnswer: 5240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/(-341))\/((-11)\/(-847))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 9\/5 (b) 2\/7 (c) -0.4 (d) 2\/51 (e) 63\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005434 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 + (0 - (-5 - -2))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.35 - 2.35. Does y = 9\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**2 - 4*r - 4. Let o(a) = 0*a**2 + 0*a + 1112 + a**2 + a - 2219 + 1108. Let c be (1\/2)\/((-11)\/(-22)). Determine c*d(m) + 4*o(m).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 624 + q - q - 12*q - 4*q - 1927 + 672 + 634.\nAnswer: -16*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*c - 73 = 28, 21 = -m - c. Let v = m + 31. Suppose -2*z - 52 = -2*y + 16, -4*y + z = -136. What is the remainder when y is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 0*w**2 + w**2)*(-6113 - 2*w**2 + 288*w + 6113).\nAnswer: -2*w**4 + 288*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 11*x + 9. Let l(v) be the second derivative of v**5\/20 - 5*v**4\/3 + 10*v**3\/3 + 10*v. What is the remainder when o(6) is divided by l(19)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 148, -50, 3, -7, -16 in descending order.\nAnswer: 148, 3, -7, -16, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 5*n**2 - 3*n + 10. Let l(x) = -1. Let i(b) = -3*l(b) - p(b). Let u be i(-3). Solve -2*j + 3*h - 16 = 0, h = -5*j - 4 - u for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*(sqrt(432) + -2)*-6*1 + 4))**2.\nAnswer: -36864*sqrt(3) + 252928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -271.8915 to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735\/15*210\/2 - 6?\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1155\/990*(-15)\/(-14).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1339857 or 1339859?\nAnswer: 1339857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 46256, 92516, 138778, 185042?\n\"Answer: p**2 + 46257*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttdddttdddddd. What is prob of sequence dddt?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1217 + 9*s - 1217. Let v(d) = -16*d. Determine k(v(a)).\nAnswer: -144*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -42634, -85217, -127798, -170377, -212954, -255529?\n\"Answer: p**2 - 42586*p - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1\/4, 0.06, 6, -2\/7, 0.45.\nAnswer: -2\/7, -1\/4, 0.06, 0.45, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14457141 to the power of 1\/2, to the nearest integer?\nAnswer: 3802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + -32.96. Let z = 31.8554 + 0.0446. Let g = z + i. What is g rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8189571 is divided by 327578?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51677*h**4*r**2 - 49347*r**2 wrt h?\nAnswer: -206708*h**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -457, -1530, -3415, -6106, -9597?\n\"Answer: b**3 - 412*b**2 + 156*b - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -938331 + 1700534. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, f: 5, p: 3, e: 2, x: 4, w: 5}. What is prob of picking 1 w and 3 p?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -21)*(-1460)\/12. What is the greatest common divisor of a and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 3, 17 in descending order.\nAnswer: 17, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1987 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**1*b))**(4\/19))**(3\/11) assuming b is positive.\nAnswer: b**(-12\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 976 is divided by 423?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than 0.13875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 0) + (4 - 30 - -10) + (-3 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.320466943 rounded to 3 decimal places?\nAnswer: -20.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1350, -1362, -1448, -1644, -1986, -2510, -3252, -4248?\nAnswer: -5534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/(-21))\/(46 - 68 - 912\/(-42))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1816368773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21060)\/(-1350)*(-25)\/15.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 81312 a multiple of 847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10 - (-3 - 276\/36). Let v = 5.2 - 1.2. Which is the nearest to v? (a) t (b) -3 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549532623?\nAnswer: 3, 251, 729791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2839, -5693, -8525, -11323, -14075?\n\"Answer: 2*g**3 - g**2 - 2865*g + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6 - 200\/(-30). Suppose -t*a + 17 - 5 = 0. Solve 0 = x - a - 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -837 - -832. Let o be (-3)\/6*((-17)\/y + -3). Which is the third smallest value? (a) 2 (b) o (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-38)\/(-4) + 6\/12. Let l = q + 9. Suppose -l = -3*f + 2*u, -3*f + 47 = -0*f + 5*u. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by -2 + (3 - (-45)\/3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62110 is divided by 92?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-6)\/(-9)*9\/(-2)*-3 and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 4, m: 1, z: 1}. Give prob of picking 1 v and 1 u.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**2\/7 + 360*j\/7 - 356\/7 = 0. What is j?\nAnswer: 1, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1387197 divided by 7\nAnswer: 198171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4789905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 30 + (-5)\/5. Let l be (-2 - (-7)\/5)\/(253\/(-25) + 10). Solve -3*c + 4*i + 21 = i, -4*c + y = -l*i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide -3 + (-1497)\/(-15) + 4\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -w - 12. Suppose w*g - 221 - 389 = 0. Is 22 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.031006 to 3 dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 123 - 110. Let f(s) = 1 - t*s**2 + 31*s**2 - 17*s**2 + 0*s - 4*s. Let n be ((-5)\/3)\/((-3)\/9). Calculate f(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 12. Let p(z) = 2*z - 3. Let h be p(d). Suppose 0 = -t + h + 2. Calculate the remainder when 31 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - -34. Is 30 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62676 is divided by 950.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*j**2 + 2*j**2 - 3*j**2)*(-j**2 - 4 + 4) + (1 - 4 + 1)*(-2*j**4 + j**3 - j**3))*(2 + 4 - 3)*(4 + 9 - 4)*(-1 - 1 + 3).\nAnswer: 54*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 + 0.5. Let w = a - 0.5. What is the third smallest value in 4, -0.3, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -17. Let u(h) = 2*h - 18. Let r be u(q). Suppose r = -3*o, 3*o = -x + 4*o + 16. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 3:52 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3848 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -501 divided by 156?\nAnswer: -167\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4072, 5796, 7304, 8488, 9240?\n\"Answer: -18*n**3 + 1850*n + 2240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 44140 = 2*h - 44135, 0 = 5*h + 2*m + 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*x - 770 = -269*x. Suppose 4*c = -2*p + 60, 5*p - 2*c - c = 137. What is the least common multiple of p and x?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**3 - 17*c**2 - 17*c. Let d(b) be the third derivative of -b**6\/60 - b**5\/10 - b**4\/4 - 3*b**2 - 45*b - 2. What is 17*d(v) - 6*o(v)?\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssksccsckcss. What is prob of picking 2 k?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gggggggngngngngggngg?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/126*21)\/((-2)\/(-27))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 916968 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 16) to base 4.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g - 10. Let s be x(-12). Let y = -10 + s. Suppose 0 = -y*o + 8*o - 48. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*r - 91 + 9 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1862 - 6*i**2 - 1858 + 0*i - i**3 - 6*i. Let n = -265 + 260. Calculate q(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*f**4 + f**3 - 465*f - 27?\nAnswer: 480*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 724*t**2 + 833*t**2 - 1651*t**2.\nAnswer: -94*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294785 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -14?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 439437*5.\nAnswer: 2197185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -1)\/(8 - 9). Suppose h = -13*n - 6*n + 7448. Is 56 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627335 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1300 and 338?\nAnswer: 16900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 212 - 140. Calculate the highest common divisor of 54 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - (-31 + 10) - -46.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 12*n**2 + 11*n - 4. Let c be f(11). Let m(k) be the third derivative of k**4\/12 + 5*k**3\/6 - 10*k**2. Determine m(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -17. Let v = 4 - 4.2. Put h, v, -3 in increasing order.\nAnswer: -3, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1486939 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -3\/7, -28.\nAnswer: -28, -3\/7, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8162238, 8162241, 8162244, 8162247, 8162250?\n\"Answer: 3*w + 8162235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 3. Let p = a + -2. Sort 3, p, -4 in decreasing order.\nAnswer: 3, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000315698946 rounded to 7 dps?\nAnswer: 0.0003157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3112488, -4, -2 in decreasing order.\nAnswer: 3112488, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 1167*a**2 - 105756*a - 2373. Determine k(-99).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 134*o + 72 + 62 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -231269 greater than -925075\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -60, -230, -514, -912?\n\"Answer: -57*p**2 + p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 78*b**2 + 6*b - 1. Let m(j) = -j**2. Give a(m(c)).\nAnswer: 78*c**4 - 6*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/1679 + 48682\/15111. Calculate the common denominator of (11 - (-96)\/(-9)) + 222\/(-63) and d.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**5\/20 - 2*k**4\/3 - 3*k**3\/2 - 7*k**2\/2 - 3*k. Let c be h(-7). Let s = c + -4. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x + 6. Let y(l) = -3*l - 5. Let d(c) = -4*o(c) - 5*y(c). Let w be d(6). List the prime factors of (w - -2)*(-4 - 1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 310 - 219. Let z = -367\/4 + y. Suppose -3*f - 5 = 2*f. Is z greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 9*h**4 + 40*h**2 + 28*h + 5*h**5 - 108*h - 29*h**3 - 49*h**4 + 104*h**3 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 5*x**2 - x - 9. Let d be w(-5). Let h be d - -2 - (0 - 2). Solve h = -k + 4 - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 273, 1061, 2371, 4203?\nAnswer: 6557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14625613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(880) + sqrt(880)*2))\/(3*sqrt(5)*2 - sqrt(60)\/(sqrt(36)\/sqrt(3))).\nAnswer: 12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 + 3577*p**2 + 1670680*p.\nAnswer: -p*(p - 7594)*(p + 440)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 + 3*a**2 - 8*a**2 + 7*a**2 + 285*a**3 + 3 + 0 as f + w*a**3 + g*a + k*a**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 203 + -201. Let f(i) = i**3 + 2. Let r be f(0). Suppose -r = 2*w - 18. Calculate the highest common factor of w and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111100101 - -110010?\nAnswer: 1101000010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -15\/2367394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/384 and -105\/52.\nAnswer: 4992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 - x**2 + 2*x**2 + (-x**2 + x**2 + 2*x**2)*(-1 - 2 + 2) + 2*x**2 - 6 + 6 + x - 2.\nAnswer: x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -0.5 in decreasing order.\nAnswer: -0.5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2628 and 269808?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5571492011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + (130 - 136)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 8653?\nAnswer: 8656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 3*y**2\/2 + y + 2. Let w be p(4). What is the lowest common multiple of 1 and (-2 - 2) + 2 + w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-10))\/((-1)\/(-5)). Let t(k) = -q*k - 2 + 17 - 5*k + k**2. List the prime factors of t(11).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/25*(-40)\/(-6). Suppose 0 = 2*v - v - d. Solve -4*h = -3*l + 1, l - v = 2*h - 3*l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g - 2*y + 3, 4*y + 7 = 3*g. Let u(r) = -7*r**2 + 5*r + 3. Let b(l) = -14*l**2 + 9*l + 5. Let v(z) = 4*b(z) - 7*u(z). Calculate v(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007940324 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 0.1 (c) 0.83371 (d) 0.4 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30156716.\nAnswer: 2, 7539179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -220821018*c**5 + 214*c + 51803 wrt c.\nAnswer: -4416420360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 14. Solve 30 = 2*o + 4*z, 0 = -o + 2*o - x*z + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i - 304 = 69 + 107 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2187769 = 270*n + 303169. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 775590.1 nanoseconds to milliseconds.\nAnswer: 0.7755901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from euepuumuuebm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 12:47 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, -75, -331\/2, -4, -1, -0.2?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208, -315, -420, -523, -624, -723, -820?\nAnswer: -915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3351, 13398, 30157, 53634, 83835, 120766?\n\"Answer: h**3 + 3350*h**2 - 10*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1480 - 1471 = -9*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h = -4*b + 20*h + 36, -5*b + 4*h = -4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 - 0.47. Let a be ((-5)\/(-3))\/(34\/(-102)). What is the second biggest value in a, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245818 to the power of 1\/2, to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.816616 years in millennia?\nAnswer: 0.007816616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -749 - -753. Let g(f) = -1 + i*f + 4*f - 3 - 3 + 11. Determine g(-6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 + 2640. Let s(u) = -36*u. Determine s(d(l)).\nAnswer: -72*l**2 - 95040","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -301*v + 4632*v - 276*v + 494710 for v.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 2*a + 0*a**2 - 1\/3*a**3 + 0. Let q(d) be the third derivative of 9*d**4\/8 - 2*d**2 - 1. Give q(p(k)).\nAnswer: -54*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + r - 31 = 0, -2*q - 1877 = 4*r - 1949. Let u be 2\/(-4) - (-68)\/104. Which is smaller: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14163.825 + -0.4\nAnswer: -14164.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 11 = -14. Let o(d) = 4*d - 1. Let s be o(n). Suppose -4*r + s = -a + 103, 0 = -5*a - 5*r + 410. Is a a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f + 55. Let p be i(17). Suppose p = -c, 548 + 8 = 4*q - c. List the prime factors of q.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4301779 hours to microseconds.\nAnswer: 1548640440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 266954 and 667385?\nAnswer: 1334770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1630 = c - 1165, -2*u + 11168 = 4*c. Suppose -121*g = -102*g - c. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 9) + -15 - ((-1 - 0) + -22)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*l = -0*x - 8*x - 326*l - 20, -3*l + 4 = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 15*l + 225. Let a(w) = 9*w + 138. Let x(p) = 12*a(p) - 7*z(p). Determine x(15).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-2)*(-465)\/558.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*l - 14996, -30040 = -4*b + 6*l - 4*l. List the prime factors of b.\nAnswer: 11, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.2 - 13. Let v = g + -4.1. Let a = 1.7 + v. What is the biggest value in -1\/2, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 80 = -2*p, -5*i = p - 0*p - 114. Suppose 2*y = 4*t - i, -5*y + 29 = 7*t - 3*t. What is the tens digit of t + -2 - (-56 - (-1 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 14*v + 33. Let r be d(11). Suppose c - 5*l - 281 = r, 4*c = -2*l - 2*l + 1076. Let o = c - 155. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i**(4\/9))\/i))\/i)\/(i\/i**(-4\/3)) assuming i is positive.\nAnswer: i**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n - 55. Let d be i(-20). Let f be (8\/(-12))\/((-1)\/d). Let s be ((-19506 - -2) + 8\/2)*f. Round s to the nearest 10000.\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-522)\/12 + (-1)\/2. Let q = -310\/7 - v. Which is the closest to q? (a) -1\/4 (b) 4 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 - f**3 - 41 + f**3.\nAnswer: f**3 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -14 - -20 - (-2)\/((-4)\/6). Is 82\/6*b - 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*y - 220*y - 30102 = -3*r, -2*r = -4*y + 40154. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 18*b**2 - 17*b + 24. Let i be z(2). Calculate the greatest common divisor of i and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-55)\/110)\/(3*2\/60). What is the closest to -2\/11 in m, -2.5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24119 and 27100?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**3 + 2*k**2 + 6*k + 6. Let w(c) = -c - 11. Suppose -2*x = x + 21. Let z be w(x). Let f be y(z). What is f rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1140 and 114684?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 16. Let h = c - -41. Suppose 0 = -3*g + h + 116. Calculate the greatest common factor of 32 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.3 + 4. Let a(t) = 2*t**2 - 116. Let n be a(-7). Which is smaller: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4927746278.23 - 0.1.\nAnswer: 4927746278.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3225*l - 270896. Calculate m(84).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 16e?\nAnswer: 16e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**5\/3 - 20*g**4\/3 + 32*g**3\/3 - 16*g**2\/3.\nAnswer: 4*g**2*(g - 2)**2*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/13)\/(((i*i*i**(3\/4))\/i*i)\/i))**(-5\/11)*(((i\/((i\/(i**1\/i))\/i))\/i)\/((i\/i**(-2\/3))\/i))**14 assuming i is positive.\nAnswer: i**(-14771\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 0.3 (c) -2 (d) -258 (e) 9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -105208*d**3 - 30854?\nAnswer: -315624*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a**3 + 2*a**2 - 2*a**2)*(-a + 13*a + 19*a + 3) as p + g*a + l*a**2 + d*a**4 + q*a**3 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/26465057 and 7\/131210?\nAnswer: 264650570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -4, -129 in decreasing order.\nAnswer: 2, 0, -4, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6903199, -13806265, -20709329, -27612391, -34515451, -41418509, -48321565?\n\"Answer: g**2 - 6903069*g - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(-1*sqrt(4)) - (sqrt(98)*1)**2)*-1 - (-2 + (-6*(sqrt(200) + -1))**2).\nAnswer: -7136 + 721*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/180 + 5129\/115.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -186.7 + -4.3. Let v = n + 190.9. Sort v, -0.15, -4\/5 in descending order.\nAnswer: v, -0.15, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 21*o**2 + 4*o + 4. Let w(g) = g**3 + 65*g**2 - 138*g - 176. What is the remainder when y(-3) is divided by w(-67)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4 + (-105)\/10)*-16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-12)*-2*0\/1. Suppose -16*r + 11*r - 3250000 = c. Round r to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 3:30 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(-1 - 0)*-1. Suppose 0 = -2*r - 2*r + 12, i = c + 3*r - 39. What is the highest common divisor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3417920 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99.59706 + -4.\nAnswer: 95.59706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1109141 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/((-1360)\/(-48)))\/(5\/(-25))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32856.89988 - -32856. Let m = 0.9 + y. Round m to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1995.784 + -1970. What is l rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.27 (c) 4 (d) -1231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(44) - sqrt(11)))*-5*-5.\nAnswer: 25*sqrt(11) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 34*o**2 - o**3 - 28*o**2 + 11*o + 2*o - 38. Let s = 33 + 9. What is the remainder when s is divided by i(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30*1\/(-7)*7. Let z = a - -62. Suppose 12*x - 129 = 159. What is the greatest common divisor of z and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6268 - 3129 - 3110 + 11*s + s**2. What is a(-12)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 + 3)*(-2 + 1 + 5)*(-13*m**2 + 77 - 77) to the form d*m + a + q*m**2 and give q.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.61, -3\/8, -2.3?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 10:04 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1389 + -1?\nAnswer: -138a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 19865 = 2*f. Let l = 1373 - f. What is l rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -i**2 - i + 14\/3*i**3 - 2. Let a = 222 + -223. Determine l(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**2 - 3*m**4 + 55 - 2*m**2 - 13*m**3 + 0*m**2 + m**2 wrt m?\nAnswer: -72*m - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + q**3 - 3*q**3)*(0*q**2 - 3*q**2 - 2*q**2) - q**5 - q**5 + 4*q**5 - q**2 + q**2 + 2*q**5.\nAnswer: 19*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 3:17 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 213 or 641\/3?\nAnswer: 213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0 (c) -0.71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9323 is divided by 49.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 483\/(-7)*(0 - (-14)\/(-6)). Let l(u) = 3*u + q - 161. Let j(d) = 2*d. Calculate j(l(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 12. Let u be j(-13). Let q be ((-38)\/(-30) - u)*-5. Sort -0.1, -0.12, q in descending order.\nAnswer: -0.1, -0.12, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86273729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(175) + 1) + (sqrt(175) - (sqrt(175) - (sqrt(175) + 4*-1*sqrt(175)))))**2 - (sqrt(504)*-2)\/(sqrt(50)*-1).\nAnswer: 488*sqrt(7)\/5 + 4379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -8, -2\/29, -30.1, 4, 0.4?\nAnswer: -30.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01996931414 to 3 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(3 + 5 - 1)*(-2*g + 15 - 42 + 40)*(-4 + 1 + 1)*(4*g - 4*g - 3*g**3).\nAnswer: -168*g**4 + 1092*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 511618 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 + 45. Let t be 2\/(-1) - (-2 - -2). Which is bigger: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2498.\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20133 (base 4) to base 15\nAnswer: -263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 19*x - 8. Let q be p(1). Let i(y) = y + 10 + 8 - 3 + q. List the prime factors of i(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 + 2 = 0. Solve 0 = y*x + 25 - 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/1254318 and -43\/836212.\nAnswer: 2508636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - z + 6*z + 30 = 0, -2*o = z. Solve -q = o*q - 2*r - 8, -5*r = 4*q - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 750 + -693. Suppose d*s = 84*s - 54. Factor -6\/5*u**4 + 0*u - s*u**3 + 0 + 4\/5*u**2.\nAnswer: -2*u**2*(u + 2)*(3*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p + 63 = -46*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 110741504 + 7839316 = 0. Let i = -7457535 - u. Let p = i + -7058629. What is p rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-6)*(5 + -65)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3371, 6799, 10339, 13991?\nAnswer: 17755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -391, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7*m**3 + 3*m**2 - 3*m + 1. Let u be o(3). Let d = -119 + u. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 24*k**2 + 2 + 6*k**3 - 13*k + 13*k - 48*k**2 + 23*k**2. Let p(x) = x**3 - x**2. What is 2*p(o) - u(o)?\nAnswer: -4*o**3 - o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1365)\/130)\/(5\/2) + 5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.8 + 6.9. Let u = v - 0.1. Let p = -3 - u. Sort p, 0.2, -1 in descending order.\nAnswer: 0.2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**5\/5 + 654*r**4\/5 + 31308*r**3\/5 - 654*r**2\/5 - 31311*r\/5 = 0.\nAnswer: -147, -71, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 542193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -116478235 + -5?\nAnswer: -116478241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56857, 56834, 56811, 56788, 56765?\nAnswer: 56742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 9:08 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147 by -3.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfpxxffpxfpxpspps. What is prob of sequence xpx?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 11*x**6\/60 + 11*x**5\/4 + 290*x**2. What is the third derivative of q(y) wrt y?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 2*b - 4. Let k be y(3). Let a be -7*-18*(-2)\/(-4). Let v be (-76)\/(-84) - 1 - (-258)\/a. Sort 3, k, 1, v.\nAnswer: k, 1, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 205 + -136. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 5683, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1092 - 18?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((1*sqrt(171) - sqrt(171)) + sqrt(171))*-6)\/(-6*sqrt(18)\/(1*sqrt(2))).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + 0.5. Which is greater: 8 or w?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2*j = 6, -2 = -4*f + j - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - u + 2*u - 115 = 0, -4*r + u + 101 = 0. Let t be -1 + 1 + (-1 - r). Let c = t + 51. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 587 by -4.\nAnswer: -587\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 2*y - 19 = -10, -3*u - 6 = -5*y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to 106.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26157, 52346, 78533, 104718?\nAnswer: 130901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 1:03 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5 = -4*a + 16, -5*g = -4*a - 3. What is the derivative of 2*s**a + 760*s**2 + 716*s**2 - 1526*s**2 - 128 wrt s?\nAnswer: 6*s**2 - 100*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14778 + -3.\nAnswer: -14781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*s - 10, 3*s + 2*l - 3*l - 17 = 0. What is the greatest common factor of s and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 2*q - 3*o, -65 = -5*q + 15*o - 10*o for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109029 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**37*w**(-1\/8)\/w**7)**(5\/6) assuming w is positive.\nAnswer: w**(1195\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -1\/2*n**3 + 3*n**2 + 0 + 11*n. Calculate the remainder when 117 is divided by i(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o. Suppose -2*b = -5*b - 3*s + 27, 2*b + 4*s - 28 = 0. Let h(i) = 2*i + b*i + i. Determine h(c(d)).\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 641*p + 635*p = 34, -108 = 5*r - p for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 72\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3795472610?\nAnswer: 2, 5, 337, 1126253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2046, 2058, 2072, 2088?\nAnswer: 2106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4*((-808)\/(-32) + -30)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 + -3.02. Let p = -19699 - -19698.9. Sort -1, p, f, 0.12 in descending order.\nAnswer: 0.12, p, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*h + 821*h - 404768 = -2223*h - 135*h for h.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7640)\/(-573)*(-3 + 0).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 263 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40716256 and 1104?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 8*t + 24. Let r be g(-10). Suppose -11 = -7*k - r. Solve -c = 5*l - 2 - k, -2*c + 2*l + 6 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 - 32 - 11*z as n + h*z and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -520 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1196*x - 30*x**2 - 1173*x - 13*x**2)*(2*x - 1 + 1) to f + t*x + c*x**2 + d*x**3 and give d.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2471546)\/(-66) + ((-4)\/(-8))\/(9\/6)?\nAnswer: 2, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128370*a - 128358*a = 120 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.90988 rounded to two dps?\nAnswer: 3.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*y - 518 + 1453. Let g = y + 128. Calculate the lowest common multiple of 7 and g.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322\/(-92)*(-16)\/(-140)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 22*x + 2760. Calculate g(-126).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 10:08 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5145 divided by 25480\nAnswer: 21\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -12 + 14 - (-20 + 0)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -199755534 greater than -199755533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 4)*(-1077*d**4 + 114*d**2 + 537*d**4 + 555*d**4).\nAnswer: -15*d**4 - 114*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3596 greater than or equal to 3779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-19\/5)\/((f*f\/(((f*(f**(-1\/61)*f)\/f*f)\/f)\/f*f)*f)\/f))\/((f*(f\/(f*f**12))\/f)\/f)**(-49))**(3\/11) assuming f is positive.\nAnswer: f**(-587262\/3355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24532, 24581, 24632, 24685, 24740?\nAnswer: 24797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -172*n + 3. Let r(q) = 3*q**2 - 2*q**2 + 30977*q - 30977*q. Determine p(r(m)).\nAnswer: -172*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11 times 20849033\nAnswer: -229339363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52263578*z**4 + 2557*z + 12772 wrt z.\nAnswer: 627162936*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-8))\/((3 - -3)\/(-48)). Let c(s) = s - s + 7*s + 4*s - r. Let j(m) = -7004*m + 3505*m + 3500*m. Determine c(j(k)).\nAnswer: 11*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 8:11 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 4*p + 1. Suppose 14 = -4*j + 4*q - 18, -3*q + 8 = j. Determine w(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -137177\/18 or -7621?\nAnswer: -137177\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*x - 11 - 2 = 0, -5*f + 4*x = 19. Let a be (0*f\/(-6))\/(-1). Is a >= -3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00069016964 rounded to six decimal places?\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (12 - (-3 - -17))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 1 - -1 - 257. Let u = 368 + a. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 81, -84, 0 in ascending order.\nAnswer: -84, 0, 5, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, -5, 417 in descending order.\nAnswer: 417, -5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*h**4 - 2*h**3*s**2 + 63*h**2*s**2 - h*s**2 + 7*s**2 wrt h.\nAnswer: 60*h**2 - 12*h*s**2 + 126*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 + 11*t + 11. Let n be w(6). Sort n, 2, -1, -5.\nAnswer: -5, -1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**4 + 3*z**4 + 5*z**4 + (-4 + 6 + 1)*(2*z**4 + z**3 - z**3) as l*z + o*z**2 + m*z**3 + r*z**4 + g and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millimeter in micrometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2580681572.\nAnswer: 2, 7, 92167199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**2*u**2 - 10874811*l**2*u - 8900*l*u**2 - l*u + 3*u**2 - 21*u - 2 wrt l.\nAnswer: -4*u**2 - 21749622*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (0 + sqrt(245) + 1) - ((sqrt(245) + -1)*-3 + sqrt(245)))**2 + -6*((-6*(sqrt(245) + 2*sqrt(245)) - sqrt(245)) + 0)**2 + 3.\nAnswer: -529671 - 112*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 divided by 5?\nAnswer: 153\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.797255g in micrograms?\nAnswer: 2797255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29637 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1657973\/1040 + 20744\/13. Find the common denominator of -95\/18 and x.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ac3c12 (base 15) in base 9?\nAnswer: -16408548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1*sqrt(77))\/sqrt(7)*6 - (6*-3*sqrt(22))\/sqrt(2))**2.\nAnswer: 6332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 3:00 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 5*v + 5*v)*(1 - 1 + 2) + (5 - 7 - 8)*(-v - v + 0*v).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*(h*h**(-2\/3))\/h)*h**(-5)*h**5\/(h*h*h**(-3\/8)))\/(h**3\/(h**(3\/2)*h)*(h*h**0*h)**37) assuming h is positive.\nAnswer: h**(-1787\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -236?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(675))\/(sqrt(1089)*1 + sqrt(1089) - sqrt(1089)) + 1 + -1 + sqrt(300) + 1 + sqrt(300) + 4.\nAnswer: 5 + 205*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2 - 2*b - 1. Let p = 12 + 8. Suppose -5*u + 10*u = 3*w + p, -16 = -w - 4*u. Suppose w = -4*t + t - 3. What is y(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + (-28)\/(-8))*6. Suppose -13*n = -w*n - 1120. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*v - 32 = 0, 0*v = w + v - 24. Is 8 a factor of (-508)\/(-20) + 12\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 69. Let f = -27.61 - z. Let k = 0.56 - f. Round k to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 14.4 (b) -0.3 (c) 0.4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**3\/3 + 3*v**2 + 5*v + 2. Let s be l(7). Let q(r) = -r**3 - r**2 - 2*r. Does 4 divide q(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7919.9 - 7920. Sort 633, 0.2, 1, l, -4.\nAnswer: -4, l, 0.2, 1, 633","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(686)\/sqrt(2) - sqrt(7)) + (sqrt(343))**2 + -4.\nAnswer: 6*sqrt(7) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -320 + 326. What is the remainder when 59 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340*h + 13*h - 191*h - 158*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1567507*a**3*y**3 - 35884063*a**3 - a*y**3 wrt y?\nAnswer: 4702521*a**3*y**2 - 3*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 20.6. Let o = -27654 + 82165\/3. Let l = o + 267. Which is the fourth smallest value? (a) l (b) -2\/11 (c) -2\/3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29882817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/130)\/(2\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 215215290 not equal to 215215288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 13 = 12. Let o(u) = -q*u**2 - 2 + 3*u**2 + u + 3*u. Let j(z) = z**2 - 10*z - 8. Let p be j(11). Determine o(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 11 = 2*v, 2*p - 1 = -2*v + 5. Let w(a) = -26*a - 1. Let i be w(-1). Calculate the greatest common factor of p and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**5\/5 - 17*g**4\/3 + 140*g**3\/3 - 532*g - 4. Factor l(a).\nAnswer: 4*a*(a - 10)*(a - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/8 - (5 - 193\/(-2)). Let o(j) = -2*j + 1. Let l(x) = 33*x - 16. Let k(z) = u*o(z) - 6*l(z). Let m(s) = -1. Determine -k(b) + 6*m(b).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 103901 to the power of 1\/2, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 137*r**3 + 3*r - 4*r - 101*r**3 + 165*r**3.\nAnswer: -73*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -155, 8, -3, -2, -5 in descending order.\nAnswer: 8, 5, -2, -3, -5, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -6. Let b = -7 - s. What is the closest to b in 0, 5, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10013 + 49867\/5. Let k = r + 2584\/65. Let f = 0.37 - 0.17. What is the second biggest value in k, -1\/2, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, b: 1, p: 1, a: 2, m: 2, c: 1}. Give prob of picking 2 m and 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -228922, -13, 6.\nAnswer: -228922, -13, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640536?\nAnswer: 2, 3, 13, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 - 215*a + 4668. Give s(30).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*o**3 + 11*o**3 + 10*o**3 - 33*o + 12*o wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 - 346498*t**3 - 15007781248*t**2 - 15007434752*t.\nAnswer: -2*t*(t + 1)*(t + 86624)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(117) + (sqrt(117) - sqrt(117)*-1))*-4 - -3*(sqrt(117) + -1*sqrt(117))))\/((sqrt(729) + ((-2*sqrt(729) - sqrt(729)) + sqrt(729))*5)*3).\nAnswer: -16*sqrt(13)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 27 + -7 + 25\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**2 - 1 + 1)*(-6*x + 4*x + 27*x + 10*x - 3*x + 0*x + (-x + 2*x - 4*x)*(0 + 0 - 2)) as v*x**2 + u + m*x**3 + q*x and give m.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -5*a - 20. Let f(s) = -s**3 + 5*s**2 + 7*s - 11. Let g be f(2). Solve -4*l = -l + d + g, l + a = -4*d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 57*y + 1. Let s(u) = 170*u. Give -8*l(g) + 3*s(g).\nAnswer: 54*g - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 9:55 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**3\/2 + 116031*g**2 - 464145*g\/2 - 348102 = 0.\nAnswer: -77356, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 66997139 rounded to the nearest 1000000?\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 25462, 4, -3\/5?\nAnswer: 25462","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25.3716 and 0.04?\nAnswer: 1.014864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 148.22 - -3.78. Let t = -2422.3 + 2564. Let q = t - k. Round q to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/25 and 32\/605.\nAnswer: 3025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 2*h + 3. Let w be f(-2). Let d be -6 + 19\/((-152)\/(-80)). Suppose 0 = -w*t + d*t - 2. Calculate the greatest common factor of t and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 7 = -1. Calculate the highest common divisor of 8 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -22*(-41)\/182 - -2. Let l = r + -96\/13. Let t be 3 + -5 - (1 + 2). Which is the second smallest value? (a) t (b) 1\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + k + 12. Suppose 0 = 2*g - g - 5*w - 14, -5*g - k*w + 154 = 0. Suppose 2*s - g = -89. Which is the biggest value? (a) 1 (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2877*v + 103*v - 19659 - 8888 = 117473 for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 684 divided by -3.\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.5873 at most as big as -1\/1718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, q: 11, w: 3}. What is prob of sequence wq?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-680)\/102)\/((-2)\/10*150\/108).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.726*-3.\nAnswer: -14.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 2, c: 1, g: 4, i: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 635 = -49*v + 505 - 767, 91 = -5*v + d + 4 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 61*i**2 - 1. Let h be x(5). Suppose -2*s = 4*s - h. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-13))\/((-51)\/(21216\/(-32)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 2. Let u be t(-3). Suppose 21 = -4*f + 5*w, -3*w - 9 = 2*f + f. Let b = f + u. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.632 or 0.42?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10*15\/(-45)*3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, c: 5, u: 2, g: 3}. What is prob of picking 1 u and 1 f?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 547110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31729 - -31719. Let y(u) = -u + 11. Calculate y(a).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -11*n + 20796. Let g(i) = -11*i. Give g(k(t)).\nAnswer: 121*t - 228756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + d - 3*d)*(2 - 7 - 2) + 79*d + 49*d - 28*d.\nAnswer: 93*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.75 + 16. Let t = f - 0.25. Let j = t + -3.1. Are j and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 7675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, o: 3, j: 1, r: 12, e: 2}. Give prob of picking 1 e, 1 r, and 2 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-85)\/(-20) + 6\/8. Suppose -t*h + 47 = -2*z, 6*h - z - 19 = 4*h. Let v = h + -2. Calculate the smallest common multiple of v and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -23 (c) 22\/17 (d) -3 (e) -6 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s = 60 - 22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 6 + 2*u + 41.\nAnswer: 2*u + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-11\/6)\/(r**12\/r*r*r*r))\/(r*r*r\/(r*r\/r**5*r))**9 assuming r is positive.\nAnswer: r**(-365\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-1)*(-12)\/(-204). Which is bigger: 95\/6 or c?\nAnswer: 95\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 5*g = -287 + 272, -3*q = 5*g - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/6 - 1\/2 - 1. Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from lqlmlqqlrllbl.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 3, -9.91, 0.774?\nAnswer: -9.91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1961\/6 - 326. What is the common denominator of m and -15\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -207693, -208053, -208413?\n\"Answer: -360*u - 207333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(2\/3)\/x*x*x*x\/(x*x**(-37)*x)*(x**34\/x)\/x**(3\/11) assuming x is positive.\nAnswer: x**(2356\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3061494 to 4 decimal places.\nAnswer: -0.3061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 58.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 2*g**2 - 20*g + 288. Determine n(-9).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3088 - 1079. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32.5 + 0.07\nAnswer: -32.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(9\/(-24))\/(25\/(-3) - -10).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.18 - 0.18. Let l = 0.74 + -0.8. Let h = 1.94 - l. Which is the nearest to v? (a) h (b) -2\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 1.3. Let p = 0.3 + f. Let u = p - -1.12. Round u to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 - -75. Is ((2212\/(-8))\/7)\/((-1)\/g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 38 = -5*w, -3*n = 4*w + 2*n - 33. Solve 0 = 5*s - 12 + w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5990165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002012161 rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3 - 283*a**2 + 534*a - 1383789.\nAnswer: 3*a**2 - 566*a + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 11*p**2 + 10*p. Let l be w(10). Suppose 21 = 3*j - l*j. Calculate the highest common factor of j and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -5421.967278.\nAnswer: -5422.967278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d + 439 = 13*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 104 - 1250 = 4*n, -2*n + m = 572. Let s = n + 166. Let x = s + 198. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 1 + 1)*(793*o + 543*o - 447*o)*(0 + 2 - 1).\nAnswer: -1778*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -60, -2\/5, -1.\nAnswer: -60, -2, -1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.67 + 1.6. Let j = -58.99 + 58.49. Let n = -1.2 + 0.2. Which is the closest to n? (a) 3\/7 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 13 = 19. Suppose 3 = l*b + b. What is the highest common factor of 5 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*o = -2. Let c = -15 - -15. Put -5, o, c in decreasing order.\nAnswer: o, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 79960, 159919, 239878, 319837, 399796, 479755?\n\"Answer: 79959*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/45 and 13\/95565.\nAnswer: 286695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = -3*u + 15*v + 12401, 4*u - 2*v - 16532 = 0. What are the prime factors of u?\nAnswer: 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = 3*m - 7, 2*m - 2 = 4*l. Let b(w) be the first derivative of w**4\/12 + w**2\/2 - 1. Let d(g) be the second derivative of b(g). Calculate d(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 626000 and 322000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + -4*1*(0 + sqrt(2448))*-2*-4)**2.\nAnswer: 768*sqrt(17) + 2506751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14876 + 14814. Sort -74, s, 5 in decreasing order.\nAnswer: 5, s, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 131 + -138.1. Let l = s + 7. Let u(i) = -i**3 - 6*i**2 + 7*i - 3. Let v be u(-7). Which is the nearest to l? (a) -4 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuucuuucucuccuucuu.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-1 + 1 + 12)*(-j**3 - 3*j**3 - 8*j**3).\nAnswer: -144*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 249760 and 72240.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/(-40)*36\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m - 8*m + 4*m + 2*m. Let q(z) = -25*z - 7. Let y(f) = -106*f - 27. Let n(b) = 23*q(b) - 6*y(b). Determine n(w(c)).\nAnswer: 61*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -0.09, 1\/2, 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -122?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 3*s + 3. Let u = -13 + 22. Let v = -11 + u. Give f(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.0831344\nAnswer: 0.03325376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 + 193*p**2 + 2441*p - 47. Determine a(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 6*k + 6 = -4*k, -43*c + 38*c - 4*k - 10 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2053f + -1296?\nAnswer: -217d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, g: 7, n: 5}. What is prob of picking 3 n?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*t - 6*t - 258. Let z(v) = 4*v + v**3 - 6 + 0 + 7*v**2 + 1. Give z(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-2)*1\/(-4). What is the nearest to c in -2\/3, -4, 4\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 + -175626?\nAnswer: -175665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51935*j**4 - 40*j**3 + 38344995*j**2 wrt j.\nAnswer: 1246440*j - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 188, 4.\nAnswer: 1, 4, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.8739 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 0) + -76 + 41 + 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.5 (b) 1 (c) -810 (d) 0.2 (e) -2.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (-49 - (16 - 37)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -710856136 and -957.\nAnswer: -710857093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 3, 0.4, 6\/11, -11, -0.9?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h - 76. Determine n(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i + 1\/6*i**3 + 0 - 1\/20*i**5 + 5\/12*i**4 + 2*i**2. Let b be s(5). What is the greatest common divisor of 6 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 - 13*x**2 - 13*x - 1. What are the prime factors of p(-10)?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20140, 40204, 60272, 80344, 100420?\nAnswer: 120500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 - 12*b - 5. Determine s(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7537.\nAnswer: 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, q: 4, d: 2, z: 1, u: 1, m: 1}. Give prob of sequence zdyy.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/8*2\/6. Let z = -0.0688 + -0.2312. Let t = 0 + 0.2. Sort z, k, t.\nAnswer: k, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3478235.4 rounded to the nearest one thousand?\nAnswer: -3478000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*((j\/(j*j*j\/(((j*j**15)\/j)\/j)*j)*j)\/j)\/j*j))\/(j*j**(-1\/15))*j**(-2\/15)\/(j\/j**(-4\/3)) assuming j is positive.\nAnswer: j**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**4\/24 + 57*u**2 + 101. Let b(r) be the second derivative of i(r). Let a(x) = -x**2 + 5*x + 1. Give a(v) - 6*b(v).\nAnswer: -v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23\/262 - -8096\/6419. Let t = l + -1\/147. Find the common denominator of -61\/18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/((k*k**(1\/7))\/k))**(-17\/3))**(4\/5))**(-2\/5))**(2\/5) assuming k is positive.\nAnswer: k**(544\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4331 (b) 0 (c) -5 (d) 7 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + 8*n**2 - 5*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -7*q**3 + 21*q**2 - 14*q + 21. Let k = 16 + -17. Let u(h) = -h**2 + h - 1. Let z(n) = k*v(n) - 21*u(n). Find the second derivative of z(x) wrt x.\nAnswer: 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 16. Let n be a(-8). Suppose n = -5*w + 249 + 86. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -2 + 33 + 5 + -17.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, x: 3}. What is prob of sequence xx?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 147575 at most 147588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 6*v - 5. Let g be n(8). Let m = -15 - -27. Find the common denominator of -17\/10 and g\/m - (1 - 0).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2261 (base 8) in base 6?\nAnswer: 5321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**5 + 26*b**4 - 18*b**3 - 74*b**2 + 20*b + 48 = 0.\nAnswer: -1, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26310021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.84*0.3.\nAnswer: -0.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 226922 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = s - 23, -20 = 2*s + 3*s - 2*n. Sort -1, 0, s in descending order.\nAnswer: 0, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -864724 + 156724 = 3*u. Round u to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(102)*2)\/(sqrt(6) - (sqrt(12)*2)\/sqrt(2)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 3*p - 7*p. Suppose -3*f - j - j = 49, 2*j = -5*f - 83. Let m = p - f. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -456.6 - -452. Let t = 4.7 + j. Let y = -1 + -3. Which is the closest to t? (a) y (b) -11 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 3:06 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3710056)\/133868 + (0 - -30)\/1?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 201*q + 197.\nAnswer: (q + 1)*(4*q + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1136984896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -4*j - 12, u + 6 = 5*j + 3*u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -212194 by 2.\nAnswer: -106097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 - 34*y - 7. Let q(z) = 4*z**2 - 52*z - 10. What is 5*q(l) - 7*v(l)?\nAnswer: -l**2 - 22*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from bbbbmbm?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 636251795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 370*l - 134*l + 140*l**4 + 265*l**4 wrt l?\nAnswer: 4860*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 8:15 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*c + 15 = 0, -5*v + 25 = c + 3*c. Suppose -5*o = -2 - 3. Does 9 divide (v + o)\/(16\/232)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 11:59 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54 and -1.39.\nAnswer: -75.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/((-25)\/(-10))*-7. Let t = z - -4. Let h = -12 + 8. Sort t, -2, h in descending order.\nAnswer: t, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2945*q - 2961*q = -3616. Calculate the remainder when 11067 is divided by q.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.854433613 to 3 decimal places.\nAnswer: 3.854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 3*z - 3*k - 10, -3*z + 2*k = -5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2203 and 17.\nAnswer: 20.7451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8110.02 less than -52.9288?\nAnswer: 8057.0912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29731.\nAnswer: 13, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 950*c + 955*c - 3320384, 8300879 = 5*m - c. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -340781, -340778, -340775, -340772?\n\"Answer: 3*i - 340784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 51558+191\nAnswer: 51749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 831*b**8\/56 + 97*b**4\/12 - b**3\/2 + 4*b - 73. Find the third derivative of y(k) wrt k.\nAnswer: 99720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + h**2)*(-4 - 4 + 6) + h**2 + 0*h**2 + 4*h**2 + (-h + h + 2*h)*(-2 + 3*h + 2) to the form q*h**2 + l + u*h and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 34*t**2 - 111*t + 2. What is the remainder when 434 is divided by q(37)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2543307702?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 8 = 4*x, -2*x - 5*b + 3 = -1. Let f be (x - 2)\/(-3)*-1. Suppose 0 = 5*z - 3*u + 2*u, 3*u - 15 = 0. Sort f, 3, z in descending order.\nAnswer: 3, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-57)\/6 + 990\/(-264) - -14. Find g such that -51\/4 + v*g**2 - 12*g = 0.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/28)*c)**(-1\/4)\/(c**(-2)\/c*c*c**27*c*c) assuming c is positive.\nAnswer: c**(-3055\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/14 - (-4)\/(-14). Let t(c) = 4*c**2 - s*c**2 - c**2 + c**2. Let i(a) = 8*a**2. Calculate t(i(k)).\nAnswer: 128*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6009, -6014, -6031, -6066, -6125, -6214, -6339, -6506?\n\"Answer: -c**3 + 2*c - 6010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-19)\/((g\/g**(-4\/7)*g)\/g))\/(((g\/g**(-21))\/g)\/(g**(15\/2)\/g)) assuming g is positive.\nAnswer: g**(-491\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/7)*h)\/(h*h**(-2\/15)))\/((h\/h**(-13))\/(h\/(h*h**2))) assuming h is positive.\nAnswer: h**(-1636\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**5 + 412*a**4 + 15288*a**3 + 237832*a**2 + 1295428*a + 1072476 = 0. Calculate a.\nAnswer: -31, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 3:54 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74\/161 - 4\/23. Let h = 14 + -16. Suppose -x = 3*n + 1, 2 = -x + 2*n - 4. Sort x, r, h in descending order.\nAnswer: r, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 8:53 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 2*r + 3*f, 5*r + 3*f - 2*f = 245. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01460208 - 0.13794\nAnswer: -0.12333792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4035207.762 to the nearest 100000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4523 + -4522.990105. Round s to four decimal places.\nAnswer: 0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/4)\/(3\/12). Suppose 0 = t - 2*b - y, 0 = 5*t - 6*b + b - 60. What are the prime factors of (24\/9 - 2)*t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 13*p - p)*(0 - 1 - 2).\nAnswer: -33*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 3 = -2*t + 5*t - 7*f + 5, -4 = 4*t - 2*f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -293 + 295.69. Let g = l + -2.690000242. Round g to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xam when three letters picked without replacement from dlbmdlxldbllba.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -54128, -216535, -487216, -866171?\n\"Answer: -54137*t**2 + 4*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123959*f**3 + 9176*f**2 + f - 17 wrt f.\nAnswer: 743754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.74469 and 60?\nAnswer: 104.6814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*q**2 - 14*q**2 - 15*q**2 - 11*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*m - 232*m = -281*m + 11684 for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by -2*(-22)\/(-77)*-7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -27*h**2 - 3460*h - 480. What is b(-128)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185488 is divided by 258.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - 5 - (-4)\/2. Suppose 66 = u*k + 2*c, 84 = -4*k - 5*c + 217. Suppose -2*q + k = -4. Calculate the remainder when q is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**5\/140 - v**4\/84 - v**3\/42 + v**2\/14 - 14*v. Determine i, given that p(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (sqrt(128) + -2)) + -2 + 0)**2*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 34. Suppose -67 = -2*b - p, 2*b + 0*b - d*p = 82. What are the prime factors of b?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1237, -4958, -11159, -19840, -31001, -44642?\nAnswer: -60763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144579 is divided by 143935?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 13*a + 9. Let n(b) = -6*b**2 - 25*b. Let m be n(-4). Let x(s) = -6*s - 4. Determine m*z(d) + 9*x(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6740 times -0.4?\nAnswer: 2696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 and 119\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5414*o. Let s(h) = -3*h**2. Calculate s(t(w)).\nAnswer: -87934188*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.7 + 5.3. Let g = 22 - d. Let k = 14.9964 - g. What is k rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - -4. Suppose 2*s - 375 = -3*s. Suppose u + 2*u - s = 0. What is the remainder when u is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 53*a**2 - 4*a - 232. Let d be v(-53). Let u(p) = p**2 - p - 415. Determine u(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(0*v + 0*v + 2*v) + 12*v + 32 - 19 - 31 + (v + 0 + 0)*(0 - 3 - 8) + (-2*v + 0 + 0)*(-2 + 0 + 4) + 1 - 1 + 2*v.\nAnswer: v - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2549 + -0.2548473. What is n rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11109 - 239*i - 11109 - 2*i**2 to the form z*i + d*i**2 + l and give z.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*a + 6886 + 5110, -2*i = 10. What is the hundreds digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(275) + 5 + sqrt(275) + (0 + sqrt(275) - sqrt(275)) + 2)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h*z**3 + h*z + h - 2*z**3 + 2*z**2 - 1 wrt z.\nAnswer: -12*h*z - 12*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 10*d - 10. Let j = 49 - 32. Suppose 4*x - 7 - j = 0. Calculate the lowest common multiple of c(x) and 74.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/43477 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 11 = 3*p + 35, 0 = 5*v + 2*p - 30. Suppose -z + v - 1 = 0. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.056 - 3.056. Which is the nearest to 7? (a) -0.4 (b) -0.04 (c) w (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + 486*o - 2359. Give q(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2414513887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 3 = -4*p, 31*q - 30*q - 6 = p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2010 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9375*x - 28210. What is b(-3)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f. Let x(r) = -4*r + 1. Let n = 0 - 3. Let q(z) = n*c(z) + x(z). Let s(d) = 5 - 1 + 0 - d. Determine -3*q(v) + s(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2. Let j(z) = -3*z - 4. Suppose 9 = 5*c - 26. Let r(y) = 5*y + 7. Let i(w) = c*j(w) + 4*r(w). What is i(b(q))?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 - 29*f**2 + 20*f - 315. Is h(34) a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/9, 0.5, -0.4, -0.5, -0.042?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**5\/4 + 15*m**4\/2 - 1671*m**3\/4 - 9765*m**2\/2 + 5292*m = 0 for m.\nAnswer: -21, -14, 0, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 2327.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -757, 2, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + r + r)*(-4 + 2 + 0)*(8 - 8 - 4*r).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*l - 6*l - l)*(l - 5*l + 2*l)*(0 + 3 + 0).\nAnswer: 96*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2057) + sqrt(2057)*1 + -3 + (sqrt(2057) + -1 + 2 - sqrt(2057)) - (-5 + 2*(sqrt(2057) + (-2*sqrt(2057) - sqrt(2057))) + sqrt(2057)))**2.\nAnswer: 1650*sqrt(17) + 257170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-5 - -6) - 6. Let k(v) = -5*v + v + z*v. Let x(t) = 9*t. Calculate 2*k(j) - 3*x(j).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from {d: 7, g: 2, e: 1, p: 8}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 5, 53 in increasing order.\nAnswer: -2, 4, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**18\/t)\/t))**(-6\/17)\/((t*t**(1\/5))\/((t*t**(-29))\/t)) assuming t is positive.\nAnswer: t**(-2117\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5385 + -5388. Sort 2, y, 5, 1, 9 in decreasing order.\nAnswer: 9, 5, 2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 10:16 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**6\/1380 - 19*a**5\/345 - 35*a**4\/69 - 136*a**3\/69 + 17*a**2 + 11*a. Factor v(s).\nAnswer: -2*(s + 2)**2*(s + 34)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -242 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, e: 2, d: 3, t: 1, v: 2, i: 1}. What is prob of picking 1 d, 1 f, and 1 v?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.358327093 rounded to three decimal places?\nAnswer: 2.358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3083 - 2154. Let b = 929.000000583 - u. Round b to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 6*k - 24. Suppose -5*r + 270 = k*n, 5*n + 28 = 3. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = m + 16, -m = 3*m + 5*n + 20. Suppose m = w - 5 - 2. Let u = -3 + w. What is the remainder when 10 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -208*x**3 - 4*x - 4. Let z(i) = -209*i**3 - 3*i - 3. Calculate -6*k(o) + 8*z(o).\nAnswer: -424*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 21*x - 16. Give r(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-105)*2\/(-4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 505 and (95\/(-285))\/((-1)\/45)?\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 3 + 2*k**3 - 3*k**3 + (-2*k - 2*k**2 + 2*k)*(0 + 0 - k) + 17*k**3 + 20*k**3 - 6*k**3.\nAnswer: 32*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v = 7*v + 31*v - 288 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 650*z**2 + 8*z**3 - 650*z**2 - 3*z**3 + 21*z**3.\nAnswer: 26*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -316445, -632951, -949451, -1265945, -1582433?\nAnswer: -1898915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**2 + 31994*q - 287784 = 0.\nAnswer: 9, 15988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-22)\/8 - -2)*-4. Suppose a + 3 = 3*m. What is the second derivative of -4*f + 4*f + m*f**3 - 3*f wrt f?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 8 + 2. List the prime factors of (10\/r + -1)*113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14721239 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12722.311474 + 2.807474. Let n = 12633.50351 + d. Let i = n - -86. Round i to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 + -63. Suppose x*g + 11805 = -5*h, 0*h - 2361 = h + 2*g. Let t = h + 3858. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - q = -0*b - 5, -5*b + 5*q - 15 = 0. Suppose 5*z = -4*g - 15, -12 = -2*g - 2*g + 4*z. Calculate the remainder when 2 is divided by b + 0 + 2 - g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 188 + -153. Suppose -o*c + 59 + 1201 = 0. What is the least common multiple of 11 and c?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89 + -83. What is the smallest common multiple of (-36)\/(-15) + (-2)\/5 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 3:29 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*g = -750, -60*r + 62*r - 1480 = 2*g. Let h = -467 + r. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10. Let h(q) = -3. Let l(z) = 7*h(z) + 2*y(z). Let c(v) = -v - 3. Calculate -c(i) + 4*l(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 653 + -498. What is the highest common factor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/136)\/((-5808)\/(-9680)*5\/4)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 11 - 1. Let y(j) be the first derivative of -j - j**2 - 4*j + x*j + 2. Differentiate y(m) with respect to m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28251472913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {y: 13, z: 2, j: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1950428, 3900872, 5851326, 7801796, 9752288, 11702808?\n\"Answer: d**3 - d**2 + 1950440*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 5*v**5\/4 + 193*v**2\/2 + 136*v. Let p(u) be the first derivative of q(u). Let f(c) = -4*c. Determine f(p(k)).\nAnswer: -300*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4 = 3*c + 1, -3*p = 2*c - 12. Solve 2*q + q**3 - 4 + 4 + c*q**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*o - q + 47, -q + 3 = o. Let h(l) = l**3 - 6*l**2 + 10*l. Let w be h(4). Differentiate -w + o - 5*j**4 + 4 wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 7*l**2 + 11*l - 54. Let q be r(-9). Suppose -5*i + q*i - 20 = 0. Let h(u) = 23*u + 1. What is the remainder when h(1) is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-11)*(-1095)\/1606?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1 = -j, 2*w - w + 5*j + 22 = 0. Suppose -7*n - 96 = -w*n. Let k = n + 36. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/j)**(-22)\/((j*j**1*j)\/j*j\/(j\/j**(2\/9)))*(j*j*(j\/(j\/(j*j\/(j*j\/j**(-1))*j)))\/j)**(1\/4)\/((j*j**(-2\/17)*j*j*j*j)\/j**(-4)) assuming j is positive.\nAnswer: j**(6821\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 2*r**2 + 15*r + 6. Let b = 3482 - 3487. What is s(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55751206*a**3 + 42429945*a**2 wrt a.\nAnswer: 334507236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 2 - 5)*(0*m**2 + 5*m**2 - 4*m**2).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 6:46 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 - 92 = -2*j. Let t be (-2)\/(-4)*j\/3. List the prime factors of 2*1\/(-2)*t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9614*i + 3*i**3 - 1366 - 3*i**2 + 1366.\nAnswer: 3*i**3 - 3*i**2 - 9614*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1329 = 137*c + 400 - 987 + 2135 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-96*r + 61*r - 44*r).\nAnswer: -79*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 12*r**3 + r**2 - 3*r + 2. What are the prime factors of f(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1815240 is divided by 2564?\nAnswer: 2492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 3\/7 (c) -0.14 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 3*x**4\/2 - 5*x**3\/3 + x - 60. Let g(a) = -2*a**3 - a**3 + 2*a**3 + a**2. Suppose -2*w = -4*w + 10. Determine w*g(y) + n(y).\nAnswer: y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*sqrt(96))\/sqrt(48).\nAnswer: 2*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.46, 2\/9, -5, 5?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11559 + -11419. Is g > -0.64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) -8 (b) -5 (c) -1 (d) 207 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*p\/(p\/p**(2\/3)*p))\/p*p))**(4\/11)\/(p**0*p*p**5) assuming p is positive.\nAnswer: p**(-194\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, 0, 8, 0.3, -151?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -19, -3 in decreasing order.\nAnswer: 5, 3, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -428454 divided by -26\nAnswer: 16479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/2777 - -147160\/19439. What is the common denominator of o and 101\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/((-28149)\/2)*18\/(-4). Let b = g - -14522\/5971. Calculate the common denominator of (3\/(-30))\/(2\/68) and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (4 - (1 + 6))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 3e43?\nAnswer: 3e40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 8, 4*t + 216 = -3*o + 20485. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.351397 kilometers to micrometers.\nAnswer: 351397000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 - 67 = 4*l + y, 3*l - 2*y = 150. What is the remainder when 11068 is divided by l?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*i + 31 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*j + 33, -9*l - 11 = -13*l - j. Let k be 1 + 6\/(-2) - -7. Let y(m) = 5*m**3 - 1 + 4*m**2 + k*m - 6*m**3 + 0. What is y(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a day?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105.1 + 105. Let q be (-8)\/45 + 6\/15. Which is the second smallest value? (a) 3\/7 (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 47.13724s?\nAnswer: 47137240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(5\/(-2) - -2) + 2. Let d = o + -18. Let r be (-7)\/((-28)\/(-12)) - 14. Are r and d nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**4 + 2*t**4 - 6*t**4)*(3*t - t - t) + 4*t**5 - 3*t**4 + 3*t**4 - 443*t**5 + 80*t**5 - 85*t**5.\nAnswer: -443*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 1. Suppose 6 + 2 = v*x. What is the derivative of -2 + 4 + 2*b**3 - 1 + x*b**3 wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376 - 1174 = -3*f. Let y be f\/18 + 6\/27. Suppose -66 = -2*r + 84. What is the greatest common divisor of y and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (-471238)\/(-30) + 81\/1215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -121789000 to the nearest 1000000.\nAnswer: -122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -105, -206, -309, -414, -521, -630, -741?\n\"Answer: -b**2 - 98*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 1 - 5)*(-5*c + 0*c + 0*c) + 2*c - 1 + 1 + (-2 + c + 2)*(4 + 2 - 4) + 2*c - c + 0*c to the form u + s*c and give s.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2046 and 1302.\nAnswer: 14322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*v = -206, 6*y = 2*y + 4*v - 172. Let s = y - -50. Let t = -32 + 72. Calculate the highest common divisor of t and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 8:22 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 3049?\nAnswer: 3049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -62. Is t equal to -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2. Let l(f) = -14*f**2 - 5*f. Let s(n) = n. Let r(k) = -l(k) - 5*s(k). Determine m(r(c)).\nAnswer: 196*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -320 - -2632. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -343141 - -123?\nAnswer: -343013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/7 + 388*o**2\/7 - 18818*o\/7.\nAnswer: -2*o*(o - 97)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f - 2*f - 196 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((18\/5)\/(-3))\/(2\/5). Let t be z\/((-4)\/8*(-1)\/1). Let x(q) = -q**2 - 5*q. What is x(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-10 + 26)\/(-32)). Solve 0 = j - 2*y + 7, 4*j = 41*y - 39*y - f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67172 divided by -1?\nAnswer: -67172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -9*c**3 - 99*c**2 - 99*c. Let j(w) = w**2 + w. What is -198*j(s) - 2*x(s)?\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -729823\nAnswer: 19\/729823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -4) + -3 - 1. Solve 0 = -0*v + p*v - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 4434912.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1100000000000101 (base 2) to base 4\nAnswer: 30000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**3\/11 - 12*g**2\/11 + 18*g\/11 - 8\/11 = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 6. Let c(u) = -u - 3. Let r(z) = a(z) - 4*c(z). Suppose -2*x = x + 12. Let t(n) = n + 2. Determine x*r(m) + 11*t(m).\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -109361, -109364, -109367, -109370?\n\"Answer: -3*i - 109358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9659.1 + 6628.8. What is x rounded to the nearest ten?\nAnswer: -3030","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, -457585, -1 in decreasing order.\nAnswer: -1, -109, -457585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**5\/9 + 8*f**4\/9 + 22*f**3\/9 + 8*f**2\/3 + f = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 - 10*t**3 - 10*t**3 + 1 - 6*t**3.\nAnswer: -25*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -160252, -160456, -160660, -160864, -161068?\n\"Answer: -204*y - 160048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 22 = j, -4*j + 2*s + s + 126 = 0. Let k be j\/(-2 + 4 - 1). Suppose 4*t = 5*a + k, 0 = -5*a + 2*a + 6. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-165)\/(-12)*-30*(-60)\/2250?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10103255242 + 1?\nAnswer: -10103255241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2)*o)**(19\/2)*(o*o**1)**(-19) assuming o is positive.\nAnswer: o**(-95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avtv when four letters picked without replacement from tvttbattvbtvv?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -213.6 to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 894426.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18500\/225 - (22\/18 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 1. Let z(d) = -d. Let q(w) be the first derivative of -2*w - 15 - 2\/3*w**3 + 7\/2*w**2. What is f*q(k) - 6*z(k)?\nAnswer: 2*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 121, 232, 345, 460, 577?\n\"Answer: s**2 + 108*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2814299317.\nAnswer: 257, 1061, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4587 - 3728. What is the remainder when p is divided by 143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(28) - (sqrt(84) - (sqrt(84) + (sqrt(84)*-2 - sqrt(84))))\/sqrt(3))\/(sqrt(8)\/(sqrt(6)\/sqrt(3))).\nAnswer: -2*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -376527.\nAnswer: 5\/376527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2548) + sqrt(2548) + (-3*sqrt(2548) - sqrt(2548)) - (2*sqrt(52)*-2 + sqrt(52)))\/(2*sqrt(400)*3*4))**2.\nAnswer: 1573\/57600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12167022 divided by -129\nAnswer: 94318","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2*219\/(-108) - -2 and (6\/(-50))\/(16\/540)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051208 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: Factor u**2 + 16137*u + 708092.\nAnswer: (u + 44)*(u + 16093)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -191 + 193. Suppose -v*m = -4*j - m + 11, 2*j - m - 3 = 0. What is the second biggest value in -2, j, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1476282 and 1488?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235598, 235599, 235600, 235601, 235602, 235603?\nAnswer: 235604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 + 1 + 4*j**2 - 1.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 213 + -16\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**7\/2940 + r**6\/630 + 7*r**3\/6 - 10*r. Let j(d) be the second derivative of i(d). Factor j(o).\nAnswer: 2*o**2*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -187596 (base 13) to base 10.\nAnswer: -616128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 200222111202111?\nAnswer: -200222111202021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40 - -a?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/133 or 0?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/12 + 4*m**3\/3 + m**2\/2 - 48*m. Suppose 4*b = 5*u + 56, 32 = -3*u - 3*b + 5*b. Calculate c(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w. Let r(q) = -q. Let c be 3 - 16 - -19 - 8. What is c*a(h) + 4*r(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -427 - -0.08.\nAnswer: -426.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 8*r**2 - 9*r + 9. Let g be z(7). Let n(c) = -67 + 137 - 64 - 3*c. Is n(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 7 = 3*m, 4*a - 8 = m - 1. Suppose t - 5 = -0*t. Suppose 0 = b + 4*q - t, 2*b + 5 = 5*b + 2*q. What is the least common multiple of b and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -4. Let m(y) = -2*y - 17. Let w be m(f). Let k = -4 + 0. Sort w, k, 8\/3 in descending order.\nAnswer: 8\/3, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2249 times 3\nAnswer: -6747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 8106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25519 is divided by 6191.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107738?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31613.39 millimeters to meters.\nAnswer: 31.61339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*u - 10 = -4*w, 4*w - 6 = -3*u. Let s = w - 0. Is 130\/2 + (3 - s) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.4836 to 1 dp.\nAnswer: -23.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b2b63 + 4?\nAnswer: b2b67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -321c42?\nAnswer: 321c43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 21*z**2 - 5. Let t be n(-4). Let a = -239 + t. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23178455 to the power of 1\/2, to the nearest integer?\nAnswer: 4814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -4*p - 2*m - 8, 0 = -m - 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 3) to base 16\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1123551 (b) -0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2 + 5780*i - 170704. What is l(30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 6 + 8\/(-2). Let v be -3 + 72\/15 - 0. Is h greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 810 = 5*f - 15*f. What is the common denominator of -19\/42 and (2\/(-96))\/(f\/2484)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -4*o - 2, 5*o = 3*i - 30 + 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7))**10\/(c**(-1\/3)*c*c*c*c**(2\/13)) assuming c is positive.\nAnswer: c**(10\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -426145360 rounded to the nearest 100000?\nAnswer: -426100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 7*k**2 - 11*k - 20. Let f(d) = 5*d + 2. Let h be f(-2). Let t be y(h). Sort -8, 1, t in ascending order.\nAnswer: -8, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -192, -229, -252, -267, -280?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x = 2*x - 22197. Let g = 1060 - x. Determine t, given that 0*t - 4\/9*t**2 - 2\/9*t**g + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/11 (b) 71 (c) 5 (d) -0.4 (e) 29 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m - 32 = -48 - 110 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16454, -59077, -130116, -229571, -357442?\nAnswer: -513729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 2662\/74697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3360*u - 17428. Give m(5).\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10 - 31) + 20 + (4 - 2 - -167). Calculate the highest common divisor of 357 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 5, 2, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 196 - 191. Suppose 21 = u + d, u + 85 = 6*u - w*d. What is the remainder when 72 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 3*j + 33 = 0, 78*r - j = 74*r - 69 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 4*k = 2, 3*k - 688911 + 688906 = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 - 329112*t - 4607173. Calculate z(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36776?\nAnswer: 2, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*t**3 + 7755*t**2 + 255144 wrt t.\nAnswer: 66*t**2 + 15510*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/((-2)\/1) + -2. Let c(f) = -7*f**3 + 18*f**2 + f + 9. Let l be c(-2). Differentiate 14*z**b - l + 6*z**2 + 102 with respect to z.\nAnswer: 40*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from {y: 6, p: 4, x: 1, t: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25643966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -35, -64, -93, -122, -151?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9\/43 + 269\/258. Let -2\/3*l + y*l**3 - l**2 - 1\/6*l**4 + 4\/3 = 0. What is l?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*a - 43 = 0, 73 + 162 = 5*f - 5*a. What is the highest common factor of f and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (36\/10)\/((-39)\/(-20)). Let u = -153\/104 + d. Let p = -0.07 - 0.03. What is the third biggest value in p, 5, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4) - (-5444)\/16. Suppose -p - 73 = 56. Let q = p + k. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12460, 3, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - u**2 - u - 1. Let m(t) = -66224*t + 33057*t + 3*t**3 + 33169*t + 2*t**2 + 2. Let c(d) = -d + 2. Let i be c(1). What is i*m(p) + 2*q(p)?\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + r**2. Let g(j) = 5*j**3 + 4*j**2 - 1. Let c(m) = -g(m) + 3*u(m). Let q be c(1). Sort 3, q, 2 in descending order.\nAnswer: 3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j - 5*q + 54 = 144, j = 3*q - 0*q + 2 - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(576) + sqrt(16) + sqrt(16))\/sqrt(8))**2 + -1 + sqrt(16)\/(sqrt(24)\/(sqrt(3)*-3) + sqrt(8)).\nAnswer: 3*sqrt(2)\/2 + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -1 - (2 + -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*2\/(-6) + 4. Suppose l - 19 = -t*n, 5*l = 7*l + 5*n - 37. Calculate the lowest common multiple of 34 and l.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292458594.\nAnswer: 2, 3, 48743099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-112)\/(-84)*(-339)\/(-7910)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -691*d + 802. Let b(p) = 592*p - 801. Calculate 7*b(i) + 6*k(i).\nAnswer: -2*i - 795","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -423.2, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13d8d64 (base 14) to base 6.\nAnswer: -543110352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-70))\/((-48)\/28).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**8\/73920 + 2*l**7\/3465 - 4*l**6\/495 + 3*l**4\/8 + 3*l**2. Let w(x) be the second derivative of u(x). Solve w(i) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - (14 + -11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**3\/24 + 63*w**2\/16 + 45*w\/2 + 5427. Suppose j(g) = 0. What is g?\nAnswer: -60, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 390386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u - 18 + 5 + u)*(5 - 1 - 2 + 8 - 4 + 1 + (-3 + 2 + 0)*(4 - 5 + 2) + 4 + 1 - 3) in the form q*u + h and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 3\/5 (c) -0.3 (d) -0.1 (e) -41 (f) -0.002\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(2\/(-3)))\/(6\/(-28)). Calculate the greatest common divisor of y and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 3*k**3 - k**4 + 14 + 0*k**4 + 5*k**3 in the form t*k**4 + w + d*k**2 + c*k**3 + f*k and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**3 - 11*o**2 + 51*o - 38. Give c(4).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 67.1 times -0.984?\nAnswer: -66.0264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.111 - 0.299. Let p = -1.41000014 - x. What is p rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*y - 2, 88*y - 92*y = 5*u - 23. Suppose -2*b + 2 = 0, u*h - b - 2857 = -107. What are the prime factors of h?\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*g - 24491 + 90179. Is -953 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321242 (base 9) to base 7.\nAnswer: -1424300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1150)\/(-69))\/((-1)\/1038000). What is o rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10111 - -101?\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d = 6. Suppose 3*w + 4*m = 51, 5*w - d = 3*m + 54. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50046\/(-2634)*4*1\/2?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5c - 8?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7\/(-3))\/((-1617)\/1386). Solve 12*n + y*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**2*o**2*y**3 - 11845*b**2*o**2*y**2 + b**2*o*y**3 + 2*b**2*o + 2*b**2*y + 1339*b*y**3 + o wrt o?\nAnswer: -2*b**2*y**3 - 23690*b**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 10 = -4*j, 13 = -2*j + k - 2. Let m = -1502 - -1501. Sort 2, j, m, -3 in descending order.\nAnswer: 2, m, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/(-25)*10\/3. Let d(q) = q**2 - 5*q + 7. Let x be d(p). Suppose -3 = -y, -15 = -x*i + 4*y - 3*y. Solve -i = -3*a + 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9 - 13)*(3\/6)\/(-1). What are the prime factors of (x - -277) + 1 + (3 - 8)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) 0 (b) -0.04 (c) 2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 0 (b) 1\/4 (c) 0.4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*k - 69 + 17 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 1632?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -5*g + 23 + 22, -2*p = 3*g - 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -162804.593 to the nearest one hundred.\nAnswer: -162800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -6) + 3\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69481.\nAnswer: 69481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2283035054 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24664 - -24854. Which is the closest to -3? (a) 2\/9 (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 753, 80, -2, 19, -1 in decreasing order.\nAnswer: 753, 80, 19, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48\/(1*-3*5\/(-160)) and 10.\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5224241, -5224280, -5224331, -5224400, -5224493, -5224616?\n\"Answer: -c**3 - 32*c - 5224208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 359764, 1439028, 3237800, 5756080?\n\"Answer: 359754*j**2 + 2*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -172, -668, -1498, -2662?\n\"Answer: -167*l**2 + 5*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 1*3 - 0. Let q(m) = 2*m**2 - 2 - 157*m**3 - 4*m**2 + 319*m**3 - 4 + 3*m - 161*m**3. Is q(o) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -410868*q + 42507866 - 49506*q + 2279*q**2 - 617*q**2 - 2*q**3 = 0.\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/12)\/(8\/(-60))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -117 + 246. What are the prime factors of c?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - -12. Calculate the remainder when t is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -268 + 2677\/10. Let q = -157.9804 + -0.0196. Let g = q + 158.1. Which is the biggest value? (a) u (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38 - 220?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 242*w**4\/5 - 2486*w**3\/5 - 1904*w**2\/5 - 352*w\/5 = 0.\nAnswer: -4\/11, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 984 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j = 554 - 98 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61742135?\nAnswer: 5, 7, 13, 135697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -52*d - 2818. Let o(b) = 235*b + 11271. Determine 2*o(x) + 9*r(x).\nAnswer: 2*x - 2820","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, -4619, -179, 4 in descending order.\nAnswer: 4, 1, -14, -179, -4619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**6\/180 - v**4\/12 - 2*v**3\/3 + 3. Let a(q) be the third derivative of o(q). Differentiate a(x) with respect to x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 168*o**2 - 3*o + 19. Let c be x(3). Suppose c = 12*m - 2966. Is 32 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16432988*a**3 - 490785*a**2 wrt a?\nAnswer: 98597928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) -3 (c) 16 (d) -0.01 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*b**3 - 21*b**3 + 86*b**3 - 23*b**3.\nAnswer: 222*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22180464 a multiple of 1629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144039108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/72201 or 0?\nAnswer: 1\/72201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -5) + 2 + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4370 and 239039.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 8421456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -6*x - 60. Suppose 0 = -4*q + 187 - 43. Suppose x = -m + q. Calculate the remainder when 40 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24816 = -201*q + 154*q. What is the highest common factor of 3344 and q?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -734*r + 1. Let a(q) = 145*q. Determine -11*a(u) - 2*t(u).\nAnswer: -127*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2569527.\nAnswer: 3, 73, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -62253 rounded to the nearest one thousand?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*m**3 - 25*m**3 + 18*m**3 + 105*m**3.\nAnswer: 359*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4489709 + -1012 + (0 - -1*3). Round u to the nearest 100000.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 370 + -376. What is the nearest to 1 in 2\/5, 1\/3, c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-40227)\/2160 + 18 + (-1)\/(-5) and -107\/960?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1456178 (base 9) to base 15.\nAnswer: 10d798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-234)\/(-156))\/(3\/7792)*50\/4.\nAnswer: 2, 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2452711 is divided by 144276?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g + 59. Let z be h(13). Solve -b - w - 2*w + 15 = 0, -2*w = -5*b + z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -277 or 4.4561?\nAnswer: -277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -9*n**2 - 3*n + 2. Let q(g) = g**2 - 1. Let w(c) = -d(c) - 4*q(c). Let m be w(-2). Let j = 666 + -522. What is the greatest common factor of m and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43912 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71788.\nAnswer: 2, 131, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4*d = 0, 0 = -x - 13*d + 14 - 14 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (1 + -6 - -1 - -6 - -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 2\/(-6) + (-544)\/(-48).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14809794.3ns in weeks?\nAnswer: 0.00000002448709375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + (-5)\/(-8 + 3). Calculate the least common multiple of ((-3)\/w)\/(10\/480) and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 2956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3094, -3099, -3112, -3139, -3186, -3259, -3364, -3507?\n\"Answer: -g**3 + 2*g**2 - 4*g - 3091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*s**2 + 2 + (-1 + 1 + 2*s)*(14*s - 11*s + 10*s).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 109, -2, -4 in increasing order.\nAnswer: -4, -2, 1, 4, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) -3\/11 (c) -1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17995966.\nAnswer: 2, 41, 219463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 61*c - 3. Let a(n) = 61*n - 3. Let k(q) = 2*a(q) - 3*i(q). Let f = -241 + 239. What is the hundreds digit of k(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 15*q**2 - 17*q + 20. Let x be t(16). Suppose -x*k + 2*h = 3*h + 226, 2*k - h = -110. Sort 0, -2, k, -5 in descending order.\nAnswer: 0, -2, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**5\/5 - 8*m**4\/3 + 26*m**3\/3 - 12*m**2 - 2*m - 24. Factor v(o).\nAnswer: 4*(o - 6)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -296*t + 2129. Determine r(6).\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/9 + 2866*h**2\/9 + 11488*h\/9 + 3832\/3 = 0. What is h?\nAnswer: -2, 1437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 847\/(-748) + (-10)\/(-8). Which is the second biggest value? (a) 141 (b) h (c) 2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35690 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 66, 132, 234, 378, 570, 816?\nAnswer: 1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 = 38*q - 36*q + 11*g, 2*q = -g - 19 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/((u\/(u*u**(2\/33)))\/u)))\/(u*u*u**6*u))**(-33)*u\/((u**(2\/15)\/u*u)\/u)*u\/((u**3\/u)\/u)*u*u\/(((u*u**6)\/u)\/u)*u*u**(-2)\/u assuming u is positive.\nAnswer: u**(4933\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3041 + -1901. What are the prime factors of w?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28048)\/(-379) - 82 - -8?\nAnswer: 2\/379","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-23 + 6 + (22 - 17))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12\/13 - 10\/39. Let j = -9 - -4. Are j and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*x**3 + 14*x + 3186 wrt x?\nAnswer: -36*x**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -6*g**5 - 484*g**4 + 6174*g**3 - 7956*g**2 - 37760*g + 13248 = 0?\nAnswer: -92, -2, 1\/3, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957729381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*t - 20, t - 2*t = 3*o - 21. What is the highest common divisor of o and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 12. Let z be v(-14). Suppose z*n = 7*n + w - 42, -2*w = 5*n - 44. Let a(i) = i**3 - 9*i**2 + 6*i + 5. Let l be a(n). Is -11 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*m + y, -2*m - y = 2*m - 83. Calculate the remainder when m is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 > 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 3, -119353 in decreasing order.\nAnswer: 3, 1, -4, -119353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001492693 rounded to 7 decimal places?\nAnswer: -0.0001493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 + -322\/3. Which is the closest to 0.1? (a) -6\/11 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -88, -136, -186, -238?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(4\/1)*-5*(-56)\/(-105).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 - 2.06. Let s be (-64)\/28 - -3 - 7936\/11424. Sort s, a, -5 in decreasing order.\nAnswer: s, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 16. Let a(b) = 5*b + 8. Let d(k) = 3*k + 7. Let w be (-11 + 14)\/(3 + 0 + -2). Let c(f) = w*d(f) - 2*a(f). What is c(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -97524113.\nAnswer: 4\/97524113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.432959 millennia?\nAnswer: 5195.508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.225587924 to 5 decimal places.\nAnswer: -0.22559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*b**2 - 4*b**2 + 4*b**2 + (b**2 + 1 - 1)*(-3 + 3 - 1) + 0*b**2 - 2*b**2 + 4*b**2)*(5 - 4 - 4)*(3*b - 2*b + 2*b).\nAnswer: 72*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -3\/7, 328.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**4\/12 + m. Let n(b) be the second derivative of 0*b**2 + 0 - b - 1\/4*b**4 + 0*b**3. Calculate n(y(h)).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20078 divided by 27?\nAnswer: 20078\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 559842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1 - (5 - (-1 + 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1635933 - 1046236. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*k = -12 + 44, -z + 5 = 2*k. Suppose 10*s = z*s - 132. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 11*w**5 + w**4\/4 - 34*w**3\/3 + 3*w - 73. What is the third derivative of h(q) wrt q?\nAnswer: 1320*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(240)\/((sqrt(160)\/sqrt(4))\/sqrt(8)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.57 - -25. Let u = f + -0.03. What is the closest to 0 in u, 0.3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 79, 269, 587, 1039, 1631, 2369, 3259, 4307?\n\"Answer: f**3 + 58*f**2 + 9*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*(1 + sqrt(175)) + -4*(sqrt(175) + sqrt(175)*3*4))**2*-5.\nAnswer: -2016080 + 9600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 210374932?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(288)*1)**2*6*5 - ((-1 + sqrt(288))*-5 + 5)).\nAnswer: 360*sqrt(2) + 51780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t - 6*t - 28 - 68*t. What is the hundreds digit of l(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, 9, 1, -8\/59, 2, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*u - 12, 3*d - 3*u = -2*d - 14. Is 2*d*(-143)\/44 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146494 is divided by 29289?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - t + 1. Let u(q) = -11*q**2 + 2*q + 1. Suppose 5*d = 4*h - 18, -35 + 25 = -5*h. Determine d*m(j) - u(j).\nAnswer: 9*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 + (-4)\/(-12). Suppose s = q + 1 - 6. Let c(b) = 34252 - 8*b - 34252 - 4*b**2. Let m(x) = -3*x**2 - 5*x. What is q*c(o) - 8*m(o)?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 63553 (base 7) to base 2\nAnswer: 11110101100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(5*(sqrt(12) + sqrt(432))) + sqrt(80) + 3 + sqrt(5) + (sqrt(15)\/sqrt(3)*5 - sqrt(5)))**2*2.\nAnswer: 3792*sqrt(5)\/35 + 204122\/245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 303.25 - 303.24947112. What is h rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 5:18 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002494 to seven dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -86464, -167236, -248008, -328780, -409552?\n\"Answer: -80772*n - 5692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 638152 divided by 319076?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31024 + 32943. What is the greatest common factor of m and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/72884 and 52\/3151?\nAnswer: 1676332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*o = 139*o - 3379 + 2020 - 13851 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t. Let g(j) = 613*j + 1848. Let i be g(-3). Let n(c) be the third derivative of -1\/6*c**4 + 0 + i*c**2 + 0*c + 0*c**3. What is n(a(s))?\nAnswer: 28*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3 - 9. Suppose -d*f = -0*f - 3. What is the units digit of 12\/f*2\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 6*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.029? (a) 0.5 (b) 13 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -510097084015 from -4.\nAnswer: 510097084011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285688?\nAnswer: 2, 13, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/38940 and 137\/428340?\nAnswer: 428340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 4\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5098 rounded to two dps?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**4 - 240*t**3 - 230*t**2 + 240*t + 235 = 0. Calculate t.\nAnswer: -47, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -133 + 142. Suppose 104 = -t*u + 11*u. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (3 - 5 - -3)) + (1 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -10274.\nAnswer: -10278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21909.577 rounded to the nearest ten?\nAnswer: 21910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*a - 893 + 1291 + 442 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 + 124. Suppose -53 + c = a. What is the greatest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**2 - 69*d - 324 = 0.\nAnswer: -4, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 990421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 17654167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 458801 to the power of 1\/2, to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -134255*z**3 + 33*z - 222 wrt z.\nAnswer: -805530*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -632173, -1264345, -1896517?\n\"Answer: -632172*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 60, 153, 288, 465?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15251389*n*z**2 - 30977*z**2 - 2*z with respect to n.\nAnswer: 15251389*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 51*y - 597. Give g(31).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 19 = -2*f + f, f - 3 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + h + 1677 - 1712 = 3*i, 0 = -5*h - 5*i - 50 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4511 + 743a?\nAnswer: b94b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(204)*-2)\/(sqrt(216)\/sqrt(8) - sqrt(3)) + sqrt(51)\/sqrt(3)*-4*-5 + -1))**2.\nAnswer: -324*sqrt(17) + 49581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24153.48s in minutes?\nAnswer: 402.558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o - o + 3*o + (-4*o + 0*o + 2*o)*(4 - 3 - 2) + 2*o - 2*o + 2*o + (-32*o + 15*o - 25 + 18*o)*(-3 + 1 + 3).\nAnswer: 10*o - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*n + 7*n**3 - 41*n - 106*n - 53*n + 6*n**2 + 3*n**2 wrt n?\nAnswer: 42*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4963*v. Let b(n) = 327*n**2. Calculate b(l(q)).\nAnswer: 8054457663*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 278360 to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -1.4, 0, 2\/9, -5.\nAnswer: -5, -1.4, 0, 2\/9, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -5*(sqrt(12) + 2*sqrt(48))\/(6*sqrt(32)\/sqrt(8)))*-4)**2.\nAnswer: -1600*sqrt(3)\/3 + 3268\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4a7 (base 12) to base 9\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2\/19 - 1436*x\/19 - 68034\/19 = 0.\nAnswer: -667, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -876 + -780. Let f = p - -28025. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = c + 2*c. Let t = c + 1. Let m = 13 + -9. Sort -1, m, t in decreasing order.\nAnswer: m, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38402400.\nAnswer: 2, 3, 5, 16001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 10*u + 0*u)*(0 - 4 + 3).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 104 = 461. Is y < 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*h**3 + 18*h**2 - 19*h**2 - 4*h**3 to s*h + r*h**2 + n + c*h**3 and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*i + 25*i + 1447 + 803 = -3990 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 214\/9 + (-8)\/(-36). Suppose 0*d - 4*d = -q. What is the remainder when 16 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**2\/3 - 10*r - 48 = 0.\nAnswer: -24, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -99413 - 3?\nAnswer: -99416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/13)\/t*t\/(((t*t\/(t\/t**(1\/4)))\/t)\/t)*(t\/t**0*t)**(-1\/46))**(-3\/13) assuming t is positive.\nAnswer: t**(-6675\/15548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5.054 or 327?\nAnswer: 327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6277*z + 529 = -6254*z for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 145 = 5*i. Suppose 5*w - i = -4. Let v(t) = t**3 - 7*t**2 + 6*t + 3. What is v(w)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 42 - 116 = -2*d, -3*d - 5*v + 231 = 0. What is the remainder when 535 is divided by d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1457514720 to the nearest integer?\nAnswer: 38177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 112*z - 451. What is f(2)?\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/24 + (-8)\/(-6). Suppose -7*c = m*c - 99. Solve c*p - 7*p + 8 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 213, -5, 0, 2 in descending order.\nAnswer: 213, 23, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/30390020 and -11\/1482440.\nAnswer: 60780040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4.938168 micrograms?\nAnswer: 0.000000000004938168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/17)*t*t*t\/(t\/(t\/(t\/t**(-1\/3)))*t))\/(t**(-3)\/((t*t**(9\/5)*t)\/t)) assuming t is positive.\nAnswer: t**(1634\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2383 - 10178 - 6046)*(-l + 5*l - 2*l).\nAnswer: -37214*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (125\/(-35) - -1)\/((2 + 6)\/(-4))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354507 is divided by 50631?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99 - 99.04. Let w = 0.54 + z. Which is the biggest value? (a) -1 (b) 8 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 503*u - 296. Let m be c(14). Suppose 53677 = 3*b - m. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-239 + 234)\/((-5)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1132931872.\nAnswer: 2, 1321, 26801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1556\/207 + 63\/23. Calculate the common denominator of -107\/72 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-6 - -3) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 926789 is divided by 3549.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 490 - 539. Let z = 50 - 48. Which is the closest to -0.1? (a) z (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l. Let o(q) = 11*q**2 - 6*q**2 - q**2. Determine z(o(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1064602795, -1064602794, -1064602795, -1064602798, -1064602803?\n\"Answer: -u**2 + 4*u - 1064602798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -3 (c) -0.5 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1707 - -11.9007. Let h = -5.9538 + 0.0138. Let w = z + h. Round w to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -26 - 19 - 12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 36*p**3 - 5*p**2. Let i(o) = 36*o**3 - 4*o**2. Determine -5*i(c) + 4*q(c).\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -18 + 88. What is the remainder when x is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxj when three letters picked without replacement from {x: 5, b: 4, j: 2}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, -22, -1, 4 in ascending order.\nAnswer: -22, -1, 2\/21, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 2\/5 (c) -1.0246 (d) -3 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -33*q**2. Let k(w) = -16*w. Let y(f) = -5*f. Suppose 70 = -5*g + 60. Let v(u) = g*k(u) + 7*y(u). Give v(s(h)).\nAnswer: 99*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*h**2 + 1 + (0*h + h - 2*h)*(3*h - h - h) - 14*h**2 - 10*h**2 + 4 + 26*h**2 to the form n*h**2 + b*h + q and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12*o + 62. Let d be h(18). Suppose 8*c = 9*c - d. Suppose 0 = -2*u - 5*g + 278, 3*u - c = u - g. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from oodddxxdxdxddxoxdx?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/7, -1\/8, -2, 2\/12683?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*j**3 - 683*g*j**2 + 17*j**3 - 43 wrt g.\nAnswer: j**3 - 683*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 581 - 639 = -2*y - 4*p, -5*y - 2*p = -145. Let r(w) = -w**3 + 2*w**2 + 2. Let x be r(2). What is the remainder when y is divided by 15*(8\/(-6) + x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 8*g - 12. What is q(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1245213\/7 - -5434109007\/30548. Calculate the common denominator of 19\/11 and d.\nAnswer: 48004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7982123 is divided by 81450?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688\/25 not equal to 67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 23 (b) -1.34 (c) 1 (d) -4 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*f = 63*f - 663. List the prime factors of f.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72313229 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (6 + (4 - 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24720 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -37\/9525?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8.4 * 37706\nAnswer: 316730.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65384807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -40. Let c = 15 - j. What is the nearest to c in 0.2, 2\/17, 2\/11?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/776734 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 15) + 5 - (8 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(14)\/sqrt(2)*-5 + 3 + (sqrt(175)*-4 - sqrt(175))**2.\nAnswer: 5*sqrt(7) + 4378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*m + 113946, -133*m + 151871 = -129*m - 5*t. Is 40 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/34)\/t)\/t**35)\/(t**(-15)\/(t\/(t\/t**(-5)))) assuming t is positive.\nAnswer: t**(-887\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -58, 4 in increasing order.\nAnswer: -58, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 3*o**2 + 4. Let d be x(-3). Let i be (-2)\/6*(5 - 8). Calculate the highest common divisor of d and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -18. Suppose 2*w + v*w - 730 = 0. Find the second derivative of -y + 146 - 3*y**3 - w wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3451\/(-29)*2*444\/1036.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 478 + -372. Which is bigger: t or 104?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 418 - 126. List the prime factors of n.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1646*o + 1683*o - 296 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 98 = -o. What is the highest common divisor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 133, 463, 1113, 2191, 3805?\nAnswer: 6063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 9 - -5 - (-19 - -15).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413*a - 278 = -2322 - 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9193, -18285, -27319, -36265, -45093, -53773?\nAnswer: -62275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from {o: 1, y: 2, e: 1, n: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-56)\/16)*-5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 5*o + 4. Let m(f) = f**3 - 7*f**2 + 4. Suppose -3*q - 2*q + 35 = 0. What is the lowest common multiple of m(q) and s(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 22\/43, 4, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125448, -125458, -125468?\nAnswer: -125478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 8 + 4\/(-6) + 8\/30.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 5 (b) -2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 3*f**2 + 5*f + 4. Suppose 2*p - 2 = -10. Let h be w(p). Suppose h = -5*i - 0*i + 10. What is the highest common factor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1757*x + 344. Let j be n(-6). Let k = -6783 - j. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -493*a + 1143*a + 1 - 545*a.\nAnswer: 105*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.51 (b) -0.2 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 80011.379 to the nearest ten.\nAnswer: 80010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/247 + (-1022)\/(-38). Suppose 0 = 6*o - z - 141. Is 147\/o - 5 - 435\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*s + 4*s**2 - 6*s**2 - 89*s - 75*s to the form q*s**2 + i*s + j and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1206, -2363, -3552, -4779, -6050?\nAnswer: -7371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3601478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/9237827?\nAnswer: 4\/9237827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2546838921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-66 + -898)\/((-8)\/10)*(-21)\/(-15).\nAnswer: 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1813 - 1805. Calculate the smallest common multiple of b and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2 - 7*b - 12. Let g be k(-5). Let a be g - (2 - 0)\/1. Suppose -2*v - 13 = 4*t - 111, a = 5*t + v. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11701, 9939, 8183, 6433, 4689, 2951, 1219?\n\"Answer: 3*p**2 - 1771*p + 13469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 61\/4 of a meter?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13211 divided by 9?\nAnswer: 13211\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62059*i**2 + 15595*i**2 + 15800*i**2 + 15463*i**2 + 16011*i**2.\nAnswer: 810*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.18647796 to two decimal places.\nAnswer: 2.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 3670*s**2 + 1347984*s.\nAnswer: s*(s + 414)*(s + 3256)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(6*(-1)\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074795 to the power of 1\/2, to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = -3*h + 5*s, 3*h + 195 = s + 42. Sort 3, h, 5\/4 in ascending order.\nAnswer: h, 5\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c - 31 - 39*c + 27*c)*(2*c + 0*c + c).\nAnswer: -15*c**2 - 93*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285361*g - 285362*g + 12 = 4*n, 0 = -3*g + 84 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 314 divided by -1.\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(0*w + 4*w - 6*w)*(896 + 8650 + 20111 + 9506).\nAnswer: 78326*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 - 4*m + 2*m + 6*m - 4*m**2 - 3. What is the units digit of x(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/5)\/(k\/(k**(1\/10)\/k)))**34 assuming k is positive.\nAnswer: k**(-391\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -357 (base 9) to base 12\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 7. Let r(i) = -l + 104*i - 1 - 103*i. What is r(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*s - 18*s**2 + 53*s to k*s + w + o*s**2 and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4674 = -49*i - 8*i. Suppose i = 2*c + 78. What is the greatest common factor of c and 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -19*g**3 + 2*g**2 - 2*g - 3. Let q(f) = -3*f + 1. Let r(p) = 4*p - 2. Let t(m) = 3*q(m) + 2*r(m). Let z be t(1). Is c(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2064 (base 7) to base 15\nAnswer: -33c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - -0.5999962. What is a rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6635 take away 24406?\nAnswer: -31041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30 or 365?\nAnswer: 365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jffxfvxgxxgxxgyf. What is prob of picking 1 g and 1 y?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -302, -1612, -5158, -12050, -23398?\n\"Answer: -185*p**3 - 8*p**2 + 9*p - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/9 or 1386?\nAnswer: 1386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssyssyyysssb. Give prob of picking 2 y and 1 b.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -72.972671874+-1\nAnswer: -73.972671874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/((-1672)\/154))\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + -1*(sqrt(110) - -1*sqrt(110)))\/(4*sqrt(90)).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.09 + -0.31. What is the closest to 1 in -4, 2\/13, a?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27225 and 5177810?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000070098 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 320000 and 17888000?\nAnswer: 178880000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5895821\/336930 + -11\/1021. Let l = h + -278\/15. Find the common denominator of l and 101\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -1.09 (c) -20 (d) 1\/6 (e) -2 (f) -15 (g) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*y**4 - 1650*y**3 + 79850 with respect to y.\nAnswer: 16*y**3 - 4950*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000024973 to seven dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -287156, -287154, -287152, -287150?\nAnswer: -287148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4676 divided by -28\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 11*p**2 + 12*p - 8. Let d be j(12). Let i(q) = -q - 6. Let c be i(d). Solve 40 - 18 = -c*v - 4*t, 5*t = 5*v - 20 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8248c (base 13) in base 2?\nAnswer: -111001000011001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26\/5 of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 928 (base 13) to base 5.\nAnswer: 22210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2219537 divided by -11?\nAnswer: 2219537\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2176 = -36*w - 1064. What is the units digit of 4829\/5 + (-108)\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, m: 5, s: 4, a: 5}. What is prob of picking 2 a and 2 s?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 282 and 254160.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/11004 and -29\/24052386.\nAnswer: 336733404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/48 and -109\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**2 + 3*f + 1. Let t be l(-5). Let o = 110 + 136. Let z = 283 - o. Calculate the greatest common divisor of z and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/25)\/((18\/10)\/3)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4372896*g**2 - 60*g + 487752856 with respect to g.\nAnswer: 8745792*g - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 140*c**2 - 140*c**2 - 330*c**3.\nAnswer: -330*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.2 (c) 0.3 (d) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -41 - (-58 + (41 - -19)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 18. Let q(i) be the third derivative of -77*i**4\/12 + 5*i**3\/3 - 6*i**2 - 8. Let x be q(b). What is x rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -439.2 and -0.01.\nAnswer: -439.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, -3.2, -2\/89?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-14) + (-62)\/4. Let m = 16 + r. Suppose -5*k - 20 = m, -3*z = z - 3*k - 88. What is the remainder when z is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -p - 0. What is the units digit of 155*(p\/5)\/((-45)\/(-60))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1901 - -1901.000884. What is l rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -65. Let w(q) = -q - 87. Let b(h) = -4*f(h) + 3*w(h). Let m(x) = 10*x + 4. Determine 21*b(k) + 6*m(k).\nAnswer: -3*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.17 + -1.13. Let v = 3.3 + p. Which is the second smallest value? (a) v (b) -1 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = h + 4*p, 2*p + 2*p - 102 = -5*h. Solve -2*a + h - 9 = -3*g, -2*a - g + 9 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1650 - 837. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260316 and 69300?\nAnswer: 71586900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 392 = -6*k. Suppose -4*f + 5*f = -2*w + 30, 0 = -f - w + k. Calculate the lowest common multiple of 24 and f.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 54*z - 1194. Determine a(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.99 + 0.01. Let c(g) = -g**2 - 28*g - 54. Let v be c(-26). What is the second smallest value in j, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 6 = -9. Solve x*b + b - 16 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -393, -1210, -2573, -4482, -6937, -9938?\nAnswer: -13485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 598 + 2*m + m - 782 to the form s + q*m and give s.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -1\/12*g**4 - 3*g**2 + 16*g + 0 - 1\/2*g**3. Calculate x(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -531, -1920, -5159, -11172, -20883, -35216, -55095?\nAnswer: -81444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z. Let v(a) = -14*a + 16. Let r(f) = -3*q(f) + v(f). Is r(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 43626?\nAnswer: 43627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + k)*(143*k - 147*k + 101*k).\nAnswer: 97*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -252 - 5?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, k: 1, t: 5, u: 4}. What is prob of sequence tkt?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148984 is divided by 49340?\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.4316032561 to two decimal places.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4823*v - 2413*v + 6*v**2 - 2409*v.\nAnswer: 6*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + -3 - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*f = -31, 4*f + 32 - 36 = 0. Suppose 4*u + 171 = 47. Let a = u - s. Which is smaller: a or -13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*f + 38*f - 121*f = 564 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21270?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.9, -7, 4, -2\/445, 2\/13?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -805 + 285*l - 810 - 810 + 2425. Let y(a) = a. Determine y(t(m)).\nAnswer: 285*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 28 + 5 + 7 + 7 + (9 - 1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.087 nanograms in kilograms?\nAnswer: 0.000000000001087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 7:01 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -355 - -330 - (0 - -14 - 3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-10)\/4)\/((-2)\/(-1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246907887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 50 = -0*i + 3*y, 2*y + 11 = -3*i. Let d(l) = -3*l**3 - 7*l**2 - 4*l. Let j be d(i). Let u = 216 + j. What is u rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5134 = 328*b - 214 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/14 or 2\/7?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1146891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -816250 - -6530003\/8. Factor 15\/8*a + 3\/2*a**2 - p*a**3 + 0.\nAnswer: -3*a*(a - 5)*(a + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 5343 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*k - 20, 0*k - k = -v - 10. Suppose -k = -t - 4. What is the greatest common factor of t and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45075 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 - 2*i**2 + 12*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3030546301?\nAnswer: 353, 479, 17923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 22. Let i be (-56)\/(-24) + 1\/w. Suppose h**i - 3*h - h**2 + 4*h**2 + 35*h + 64 = 0. Calculate h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 14277.8ng?\nAnswer: 14.2778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28980 (base 12) in base 15?\nAnswer: 11be3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47221 (base 8) in base 9?\nAnswer: 30527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1094?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 3\/5, 0.1, 1, -16\/23 in ascending order.\nAnswer: -16\/23, -0.04, 0.1, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 44*t**4 - 176*t**3 - 296*t**2 + 144*t + 188. Let l(n) = 4*n**4 - 16*n**3 - 27*n**2 + 13*n + 17. Let b(r) = 32*l(r) - 3*s(r). Factor b(p).\nAnswer: -4*(p - 5)*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -20*3\/(2 + -8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 3) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -12*p**3 - 242*p**2 + 21*p. Let c(n) = -13*n**3 - 244*n**2 + 14*n. Let v(f) = -2*b(f) + 3*c(f). Find the third derivative of v(w) wrt w.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 6*z - 9*z. Let v = 53 + z. Is v a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 3*m - 51 = 0. Suppose 1 = 2*l - m. What is the units digit of 6\/l + (-1)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4057.781 minutes to milliseconds.\nAnswer: 243466860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5466 and -0.3.\nAnswer: -1639.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4357 (base 14) in base 15?\nAnswer: 36b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/3)\/4 - 11\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(12) + sqrt(5) + sqrt(5) + sqrt(45) + -2)**2 + ((1*sqrt(5) - sqrt(5))*2 - -1*sqrt(5)*-1)**2.\nAnswer: -22*sqrt(5) + 641\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1 = 26, -t + 2*h = -12. Let w(f) = -3*f**3 - f**2 + 5*f**3 - 2*f**t - 2 + f. Let o be w(2). Sort o, 3, -1 in ascending order.\nAnswer: -1, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 13*m + m + 1881 = 0. What is the smallest common multiple of m and 671?\nAnswer: 6039","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(187)*2)\/sqrt(11))*-2*4.\nAnswer: -16*sqrt(17) - 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10750054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkq when three letters picked without replacement from {k: 4, z: 3, q: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128 - 209. Let n be (-2)\/9 + (-261)\/q. Suppose 4*k - 240 = -n*v, -3*v + 184 = 2*k + 70. Is k a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from ozjzjzzzozjzjz.\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*c = -137*c + 768 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -231 equal to -230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 1:41 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.88 less than -16?\nAnswer: -12.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 380 + -31?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, h: 1, o: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21165106 by 9.\nAnswer: 21165106\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009600271 to six decimal places.\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 290 and 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**14*a**(-3)*a**(2\/5)\/(a**(1\/10)\/a) assuming a is positive.\nAnswer: a**(123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 569 - -284. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -1 - ((18 - 3 - 12) + -10)) + 35?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-282)\/(-30) + (110\/(-25) - -1 - 105\/175).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2) + 2\/4. Suppose -g - c = -9, -3 = g + 3*c - 16. Suppose -3*o + s = -g. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/4 + -3 - (-11 - -14)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (23 + -44 - 5) + 6.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -10, 10.6109, 0.5, -2?\nAnswer: 10.6109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 474950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**41*p)\/(p\/p**34))**36)**(-36) assuming p is positive.\nAnswer: p**(-97200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*u - 495 - 741. Are u and -103 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*v**4 + 31*v**2 - 375*v?\nAnswer: 36*v**2 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87943?\nAnswer: 87943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(17\/(-170))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.08 - 0.08. Let a = 681.3 - 681. What is the closest to -7 in a, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5. Let a(t) = -4. Let s(y) = -6*a(y) + 5*w(y). Let v(n) = -2*n + 12. Let c(h) = -2*h + 4. Let i be c(-4). Give i*s(l) + v(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 1. Let i(r) = -3*r - 3. Let g(j) = -i(j) + 2*l(j). Suppose 12 = -2*p + 3*z, 4*p + 4*z + 0*z = -4. What is g(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(3*v + v - 2*v) - 2*v + 3*v - 2*v + (0 + 0 + 2)*(-v + 2*v + v) + (0*v + 0*v + 2*v)*(20 + 10 + 0).\nAnswer: 67*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(2592) - sqrt(2592))\/(sqrt(42)\/(-1*sqrt(343))).\nAnswer: 504*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 681*b**2 - 38304*b + 38988.\nAnswer: -3*(b - 1)*(b + 114)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 35. Suppose 0 = -2*w + 3*w. Let o be v(w). Let d = 72 - o. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 3*a + 25, 2*q + 2*a + 6 = -8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/56 and -9\/272?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*y = 163, 2*y + 305 - 814 = -5*r. What is the remainder when r is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*m**3 + 983640*m**2 + 786948*m + 157392.\nAnswer: -3*(m - 13116)*(5*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 4:39 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 8 = -2*f. Let t(u) be the third derivative of -f*u**2 + 0 + 0*u + 0*u**4 - 1\/30*u**5 + 0*u**3. Let q(a) = -2*a**2. Calculate q(t(i)).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - 2. What are the prime factors of k(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -12*f - 40. Let v(w) = -105*w - 4. Let y be v(0). Give d(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 - -84. Let c(l) = -l**3 - l + 11. What is the remainder when p is divided by c(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13\/57 + -2\/19. Let y = 32.6 - -1.4. What is the third smallest value in 3, y, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**2\/7 - 106004*n\/7 - 1803224\/7 = 0. Calculate n.\nAnswer: -17, 26518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 161? (a) 354 (b) 5 (c) 4 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/((-84)\/(-32))*-6. Do 16 and g have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90137447?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 998674.3 millennia to months.\nAnswer: 11984091600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 - 5 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*f = -80, -3*s + 0*f - f + 48 = 0. Solve 4*c + 5*h - 4 = -s, 2*c + h = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 1380274.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 42032323?\nAnswer: 42032333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.119, -0.01, -7\/2, 1 in ascending order.\nAnswer: -7\/2, -0.01, 0.119, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 204.299067 rounded to zero decimal places?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1679744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -191.925 + 192. Let i = -115.075 + s. Is i >= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 17*d**3 + 4*d**2 + 8*d - 4. Let h(k) = 35*k**3 + 9*k**2 + 15*k - 9. Let v(t) = -4*h(t) + 9*i(t). What is the second derivative of v(z) wrt z?\nAnswer: 78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -58692 = -58692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g**2. Let x(h) = 313*h - 161*h - 98*h - 198*h. Determine x(c(t)).\nAnswer: 1152*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(1 - 2*o**5 - 1) - 17*o**4 - o**5 + 17*o**4.\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 3. Let i(x) = x - 4. Let v(t) = -3*i(t) - 4*u(t). Let q(n) = n**2 + n. Let a be q(-1). Let b(h) = 3*h**2 + a + 0 - 2*h**2. Determine v(b(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1111?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 1. Let g(d) be the first derivative of 2*d**2 - 6*d - 116. What is -g(j) + l(j)?\nAnswer: -3*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*y - 28*y + 595 + 529 + 3529 = 0 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -22214?\nAnswer: -22213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/4 - 2)*-1. Let a(u) = 0*u - u + 3*u + z*u. Let s(i) = -3*i**2. Calculate s(a(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e0506 + 6?\nAnswer: 3e050c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 82, 79, 92, 127, 190?\n\"Answer: c**3 + 2*c**2 - 16*c + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (9 - 6 - 3). Solve o - 6*o + 20 = a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(42) + sqrt(42))\/sqrt(6) + sqrt(567) + sqrt(567) + 1 - 5*(0 + sqrt(252) + 4))**2.\nAnswer: 532*sqrt(7) + 1733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*c**4 - 2*c**4 + 0*c**4)*(17 + 19 - 8).\nAnswer: 28*c**4 - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -26505*n + 300. Let h(i) = -53011*i + 675. What is -4*h(x) + 9*p(x)?\nAnswer: -26501*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 132 - -52. Let y = -175 + m. What is the lowest common multiple of 6 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-124)\/(-5 + 1) - 2. Let g(a) = -2*a + 62. Calculate the least common multiple of g(o) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 3*u - 102, 2*m + 0*m = u + 64. Let b = 12246 - 12234. Calculate the highest common divisor of m and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -7, -1.5, -0.3, -84\/685?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-20) - (312\/(-40) + 9).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6758 - 1002 = 388*v for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 103*h**5\/20 - 4*h**4\/3 + h**3\/2 - 150*h. What is the third derivative of r(j) wrt j?\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 673 (b) -74 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -614 - -1207. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/24 and 37\/2010?\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/4079 (b) 0.08 (c) -0.0388 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**5\/60 + h**2. Let x(q) = 0*q + q + q - 4*q. Give l(x(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**4 - 4*u**4 + 3*u + u + 132*u**3 - 114*u**3 - 3*u to a*u**4 + r*u**2 + c + v*u**3 + m*u and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*p - 247 = 0, 0 = -2*k + 2*p - 704 + 206. Let w = -134 - k. Is 22 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 10\/(-45) + ((-78)\/27 - -3)*-403.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12677373 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 + 226. Let m = b - 121. Solve -m = -z - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*v - 2*h = -116*v - 243391, 4*v - 324514 = h. What is the ten thousands digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 = 2*o - 11, -15 = -3*p. Suppose -16*d + 21*d + 4*r - 36 = 0, 0 = -r + 4. Solve n - o*n - d = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -156 in decreasing order.\nAnswer: 2, -1, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + p - 2 = k - 4*p, -5*k + 47*p - 18*p = -7*k + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95199\/100 + 952. Let y = m + 189\/1100. Sort y, -3\/7, 2 in decreasing order.\nAnswer: 2, y, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 5:32 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41 + 41 + 8*j**3 - j**3 - 1 + 1 - 4*j**2 + 4*j**2 + 2*j**3 + (-4*j - 2*j + 4*j)*(j**2 + 0*j**2 + j**2).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 37*g**2 - 4*g. Let a be o(2). Suppose a = 6*r - 2*r. Calculate the greatest common divisor of 10 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 0*w**5 + 0*w + 0*w**4 - 1\/280*w**6 + 0*w**3 + 1\/490*w**7 + 0 + 121*w**2. Factor z(d).\nAnswer: 3*d**3*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45891798595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 20 + 5. Suppose t = -3*v + 5*w, -4*w + 4 = 5*v - 3*v. Suppose v = -6*p - 4*p + 240. Calculate the highest common factor of 216 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 467249 + 1401748 - 467249 - 467250.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-2 - (-5 + 1)) + (13 - 16)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29240, -58481, -87720, -116957, -146192, -175425?\nAnswer: -204656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2 - 10*g - 8. Let h be x(4). Suppose -l - 3 - 3 = h. Let f(j) = j + 12. What is f(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106031 (base 9) in base 3?\nAnswer: -10020001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8, 38, 68, 98?\n\"Answer: 30*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 7 + -4 + (170 - 160)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 4191?\nAnswer: 4191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x**3 + x**2 + 5. Suppose -12 = 3*r - 0*r. Let k(q) = -4*q**2 + 5*q**2 + 4 + 0*q**3 - 6*q**3. Determine r*m(s) + 5*k(s).\nAnswer: -2*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 10276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 23. Let q be g(-19). Calculate the remainder when 1\/q - 2715\/(-60) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.9 + 6.53. Let g = 0.4 + s. Let b = -0.33 + g. Put -2\/11, -0.1, b in increasing order.\nAnswer: b, -2\/11, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 + 1192.1.\nAnswer: 1173.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + 6*((-3*(sqrt(1100)*-2 - sqrt(1100)) - sqrt(1100)) + sqrt(1100))*5 + -4))**2.\nAnswer: -259200*sqrt(11) + 1283040144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 289 and 17816?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9086 and 826?\nAnswer: 9086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008478811 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-51 + 54)*(2\/101)\/(-2). Let p = d - -235\/1111. What is the second biggest value in -1\/2, -0.9, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31700 divided by -31700\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -25*t + 238. Give d(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**4\/3 - 2032*j**3\/3 + 491006*j**2\/3 + 4282720*j + 11356800 = 0?\nAnswer: -21, -3, 520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2*q + 10, 47*q = -5*z + 46*q + 19. Let s(w) = -4*w**2 + 21*w + 4. Give s(z).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 740085038?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b. Let i(l) = -2*l + 1. Let y(u) = 6*g(u) - 4*i(u). Find the first derivative of y(p) wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 26. Which is the smallest value? (a) k (b) 2\/7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16912\/(-5) - 4\/(-10). Let r = g - -37171\/11. What is the common denominator of -2\/3 and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/8 (b) -6 (c) -273\/5 (d) 0.28 (e) -5\/2 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62780 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**3 + 3*o - 9. Give x(4).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 1. Let o(a) = -1 + 3*a + 4 - 6. Let w = 131 - 134. Let n be w + (3 + -7 - -3) - -2. What is n*o(q) + 7*h(q)?\nAnswer: q - 1","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 dkdwskwihwd?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfafp. Give prob of picking 1 f and 1 p.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 - 23*k - 7*k**2 + 27*k**2 - 8*k**2 to z + f*k**2 + u*k and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 u when two letters picked without replacement from {i: 4, u: 1, m: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 4*v. Let y(o) = 3*o + 40. List the prime factors of y(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1077*d + 3097*d - 1094*d - 1076*d + 8 - 1 - 5*d + 1 + (3 - 3 + 1)*(-d + 4*d - d) to the form q*d + u and give q.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416322 is divided by 395.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65218621*c**5 - 29234707*c wrt c?\nAnswer: 1304372420*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*o**2 + 12*o**2 - 71 - 85 + 37*o**6 - 26*o**2 + 9*o**2 wrt o.\nAnswer: 4440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 + (-7 - -4) - -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 127*b**2 + 2*b + 3. Let v be p(2). Let l = -355 + v. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-15) - 1)*-5. Suppose r*w - 14*w + 200 = 0. Suppose 0 = -10*o + w*o. Do o and -3\/26 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 13 = 1. Let b(c) = -5*c + c**3 - 2*c + 3*c + a - 2*c**3. Suppose 127*k - 124 = 3. Let p(m) = m - 1. What is k*b(q) + 5*p(q)?\nAnswer: -q**3 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 7 = 7*r - 2*r, -3*n = 2*r - 34. Let t(p) = p - 8. Let k be t(n). Solve k = 2*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 635212 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*w + 658 = 3*q, -3*q = -2*w - 408. Suppose 0 = -3*d + q + 10. Is 24 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*a**5*x + 2*a**3*x**3 + 4*a**2 - 38*a*x + x**3 wrt a?\nAnswer: -600*a**3*x + 12*a*x**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15268 - 15268.9243. Let x = s + 0.94. What is x rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*h = 1603, 9*n - 12*n + 955 = h. What is the least common multiple of n and 174?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1384?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -460 minus -584015.5?\nAnswer: 583555.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 263)*(-3)\/(-18). Let i = x + 44. Let j = -2130 - -2135. Which is the nearest to j? (a) 4 (b) i (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 190*g**4 - 11*g + 0*g**2 - 119*g**4 + 0*g**2 wrt g?\nAnswer: 852*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5512 - 5321. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q + 0*q + (2 - 1 - 3)*(1 + q - 1))*(3397*q - 650*q**2 - 3397*q - 3).\nAnswer: 650*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 2*o**2 + o + 6. Let w(d) = 5*d**3 - 18*d**2 - 4*d - 22. What is 4*h(l) + w(l)?\nAnswer: l**3 - 26*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6201811 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*g - 10. Let f(a) = -a - 10. Suppose 7 + 7 = -b. Let c be f(b). Sort g, -4, c.\nAnswer: -4, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = v, 2*v - v + 5*r = 0. Suppose -c + 5*i + 31 = 0, 4*c + v*i + i - 19 = 0. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (744\/155)\/((-2)\/(-5)) is divided by 2\/((-7)\/(294\/(-12)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - i)*(-3*i**3 + 7*i**3 - 2*i**3) - i**4 - 1 - 5*i**4 + 5*i**4.\nAnswer: -3*i**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y + 5. Let j(s) = -s**3 - 7*s**2 + 82*s - 27. Let v be j(6). Determine f(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -81710 - -0.934108898.\nAnswer: -81709.065891102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fst. What is prob of sequence tf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -3, -1\/8, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 26 + 16. Suppose -6*g - 2 = -p. Suppose 10 - g = 4*a. Calculate the remainder when 6 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2281939 + 10812644. Let o be 2874863 - 6\/(-1 + 4). Let w = o - h. Round w to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 543*b - 5299*b**2 - 406*b**2 - 543*b to x + g*b + h*b**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171117828.\nAnswer: 2, 3, 7, 679039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4, 0.11, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 266 - 355 + 197*h - 344 + 81*h wrt h.\nAnswer: 278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - v + 7. Let r be x(-12). Let j = 77 - 7. Let a = r - j. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1075 and -0.57842061245.\nAnswer: -0.47092061245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2088.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r + 6. Let s(y) = -5*y - 4 + 3 - 4 + 0. Let m(d) = 5*k(d) + 6*s(d). Calculate m(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -46*((-234)\/13 - 532 - 3\/2).\nAnswer: 23, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 173639651?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(0 + 5 - 4)*(-m**3 + 5*m**4 + m**3).\nAnswer: -10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*-401924.\nAnswer: 8842328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.2405 (b) 1\/5 (c) 92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**6\/60 + 11*x**3\/3 - 35*x**2\/2 - 2. Let a(v) be the second derivative of m(v). What is the first derivative of a(b) wrt b?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2699890 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -d - 14, 4*d = 11*a - 14*a - 5. Let j be (36\/20)\/(3\/(-10)). Suppose 0 = 2*m + 5*g + 8, 4*m = g + 6 - 0. Put a, m, j in increasing order.\nAnswer: j, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26dbb (base 16) in base 4?\nAnswer: -212312323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/6)\/(6\/16). Suppose 0 = -3*a + 1 + 2. Let y be ((-4)\/(-12))\/(a\/(-3)). Put 2, m, y in decreasing order.\nAnswer: 2, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (0 - 1) - (57 + -52).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from puiipiuuuuuuuuuuu?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -94\/83453 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44780429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21850055.\nAnswer: 5, 1493, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-1)\/3)\/((-394)\/(-68556))).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17568, -35005, -52438, -69867, -87292?\n\"Answer: 2*a**2 - 17443*a - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-1)\/4*(187460\/(-5850) + 30).\nAnswer: -46\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 1:55 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from hhhhbeehhebebhhh.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 268108 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*a + 0*a + 15 = 0, y + a = 3. Let g be (-19926)\/(-42) - y\/7. Suppose g = 2*z - i - 768, 3127 = 5*z + 3*i. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 31a5b?\nAnswer: 31a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -115*o + o - 1650 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64\/9 + 16\/9*c - 1\/9*c**2.\nAnswer: -(c - 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 - 15 - 15 + 46*q as z*q + f and give z.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42 + 49 - (1 - -2)) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/o**(1\/5))\/o*o)**(-29)\/(o*o\/(((o*o\/o**(-1))\/o)\/o))**(-50) assuming o is positive.\nAnswer: o**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p - 1044299 - 150019 = 0. What are the prime factors of p?\nAnswer: 2, 17, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 92\/165 and -4\/385.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107*d + 335*d - 11 + 11)*(3*d**4 + 0*d**4 - 5*d**4).\nAnswer: -884*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 - n**2 + 2*n - 1. Let s be c(2). Let b be (-4)\/6 + 1\/s. Let r = -5.07 + 0.07. What is the biggest value in b, -4, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(9)\/sqrt(3)) + (-4 + sqrt(18) - sqrt(2)) + -1 + sqrt(2) + sqrt(2) + 2 + sqrt(2) + (sqrt(2) - (sqrt(8) + -2)))**2.\nAnswer: -10*sqrt(2) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -11*o - 72. Let g = 17077 - 17083. Calculate b(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 156, -0.14, 895, 1.1.\nAnswer: -0.14, 1, 1.1, 4, 156, 895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158692 is divided by 39670.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from kffccfdcfczcfckckkk.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 18264 = -7*q - 4716. Calculate the remainder when q is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(34 + -13) + 254\/(-3048)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/2 - ((-1768)\/532 - (-32)\/(-56)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/204156 and -85\/11556.\nAnswer: 612468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*v - 18 = 3*u, 9 = -2*u - 5*v. Suppose 0 = -4*c + 16, -104 = m + u*c - 439. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 5, -2\/9, 1\/8 in descending order.\nAnswer: 5, 1\/8, -0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a millennium in years?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 131c (base 15) in base 8?\nAnswer: 7755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 - 2)*(-3 - 4*s**3 + 3 + (4 + 10 + 5)*(-1 - 3*s**3 + 1)).\nAnswer: 183*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-48)*11*-8*(-12)\/(-132).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -56136126, -56136124, -56136122, -56136120?\n\"Answer: 2*p - 56136128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.244 + -0.244. Let k = -8 + 13. Put k, -4, n in decreasing order.\nAnswer: k, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {o: 4, q: 2, j: 3, k: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3977144 or -35794288\/9?\nAnswer: -35794288\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142966703 to the nearest integer?\nAnswer: 11957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 155.752 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525308.\nAnswer: 2, 7, 73, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1009168 = 4*v + 288856. Let p = -635543 + 450049. Let f = v + p. What is f rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -103*s = 290 + 487 + 47 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, b: 1, w: 1, y: 2}. What is prob of picking 1 y and 2 f?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10669*f = 10674*f + 40 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a + 19. Suppose 0 = -18*r - 304*r + 1288. Calculate p(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.55 - -39.55. Let a = g + -39. What is the closest to -2\/5 in 3, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22.2 and -0.047262.\nAnswer: 22.152738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/104446 and -36\/574453?\nAnswer: 1148906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 >= 549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*q = 168, -q - 4*q = 15. Let l = 6 - m. Let f = l + 91. Is 52 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 150448489448 + -48965899077. Let t = 7927819959396287\/78120 - a. Let x = -3\/8680 + t. Find the common denominator of 79\/16 and x.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -7, 0, -0.02, 0.03?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 52. Suppose -s - 20 = -4*u. Let o(g) = 10*g + 1. What is the tens digit of o(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 4.27, -648, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57217319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129285 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrnnoroo. What is prob of picking 2 n?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 1\/51, 0.1, 0.3, -5.1, -5\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3\/11 - 40822*l**2\/11 - 653344*l\/11 - 2613632\/11 = 0. Calculate l.\nAnswer: -8, 40838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10910*w**2 + 10463*w**2 + 12198*w**2 - 1188*w**2.\nAnswer: 32383*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 656, -0.2, -6, -62?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5454*c**4 + 26 + 33 + 5880*c**4 wrt c.\nAnswer: 1704*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -126 + 177. What is the derivative of -14*x**3 + 0*x**3 + l - 16 - x**4 + 2*x**4 wrt x?\nAnswer: 4*x**3 - 42*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/168 - -2\/21. Let b = 8.5 + -3.5. Sort b, 2\/5, u.\nAnswer: u, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + b. Calculate r(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 1 = -2*n + 2*s, 0 = 2*n + 5*s + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, w: 4, e: 3}. What is prob of picking 3 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.555 - -343.355. What is p rounded to the nearest ten?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 95470 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 7\/2*z**4 - 3 - 4\/5*z**5 + 0*z**2 + 0*z + 4\/3*z**3 - 7\/3*z**6. Let w(u) = 0. Calculate u.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34120*p + 34012*p - p**2 + 34117*p - 102241*p.\nAnswer: -p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 116341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, d: 6, w: 1, t: 1, i: 1, x: 3}. What is prob of picking 2 z, 1 w, and 1 t?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*r = 443 - 1577. Solve -9*p = r*p + 23 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 12*q + 7. Determine m(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v + 4. Let n(a) = 3*a + 5. Let r = 172 - 166. Calculate r*h(g) - 5*n(g).\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 16. Suppose d*i - h = 4*i + 60, 3*h + 37 = 2*i. Solve 3*v = r + 1, v = -4*r - 2*v + i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 + 24. Let q be (24\/o)\/(2\/(-3)). What is the second derivative of 2*j**q - j + 3*j**2 + 7*j wrt j?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -844, -1682, -2518, -3352, -4184?\nAnswer: -5014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 414 - 304. Is 1*(-1 - (-3*a)\/1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -5 + (1 - -3 - 4 - -2) + -55?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -b - 366 + 318, b + 3*r = 36 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 11:00 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 13*m + 15. Let d be f(-12). Suppose 0 = -2*w + u - 3*u + 18, 0 = d*w - 3*u - 21. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2526529243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29\/26 - -187\/156. Which is the third biggest value? (a) u (b) -2 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*b - 3190 = 3916, 0 = 2*s - 4*b - 14212. Suppose -5*f = -3*f - d - 14239, 0 = -f + 5*d + s. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*t**3 - 78*t**3 - 93*t**3 + (9*t**2 - 22*t**2 - 13*t**2)*(-4*t - 2*t + 3*t).\nAnswer: -58*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - s**2 - 5*s + 4. What is a(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 0.0374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4022 - -13377. Let l = 9355.003987 - f. What is l rounded to four decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19764253?\nAnswer: 37, 14437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -189, -841, -2419, -5385, -10201, -17329?\n\"Answer: -77*a**3 - a**2 - 110*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 400.1 - 399.8. Sort -3\/2, -10, z.\nAnswer: -10, -3\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r - 9. Let f(x) = x. Let q(p) = -3*f(p) + 3*v(p). Let u be q(9). Let t(l) = -l**3 + 7*l**2 - 5*l - 4. Let g be t(6). Is u <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5848 a multiple of 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10344, -41588, -93702, -166722, -260684, -375624, -511578, -668582?\nAnswer: -846672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.31 or -35200?\nAnswer: -35200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(-33) - 193\/(-3). Let n be 3\/(9\/(-2))*-6. Suppose i - n*u + 7 = 40, 5*i - 5*u = 90. What is the highest common divisor of i and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2278 - 1755. Calculate the remainder when f is divided by 159.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllllsllll. What is prob of sequence sll?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**4 - 8*s**3 + 10*s**2 - 4*s = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 12*q + 6. Determine b(13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 - 2*x - 23)*((4 - 3 - 2)*(5*x + 0*x - 4*x) - 3*x + 2*x - x - x + 2*x + 0*x + x - 9 + 9) in the form y*x**2 + t + g*x and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131185001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -393634*z. Let f(m) = -15*m**2 - 28. Give f(n(b)).\nAnswer: -2324215889340*b**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**(1\/25)\/(h*h**3\/h*h**(-1\/9)))**(5\/4) assuming h is positive.\nAnswer: h**(-158\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 5. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -44. Suppose 3*h = -n + 22 + 27, s*h - 93 = -2*n. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*c + 1809 = -61*c - 29*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4321.\nAnswer: 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 206*w - 202*w - 2240. What is the greatest common factor of w and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 302\/3 + 4\/(-6). Suppose 0 = -7*i + 2*i + v. Suppose -3*x + 5*o + 21 = -9, 2*o + i = 2*x. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h**2 + 22*h + 301. Determine l(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1202)\/16828)\/(177\/42)\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + d = -476 + 484, 0 = 2*m + 5*d - 13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 8*s + 13. Is 9 a factor of b(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * -82349617.\nAnswer: -6587969.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times -58?\nAnswer: 46.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 177 + -59. Is 31 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645053.\nAnswer: 41, 15733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 175317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 2*v - 1. Suppose -22 = -12*a + 38. What is the smallest common multiple of a and c(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 5*f - 11, 4*d + 6*f - 13 = 9*f. Is -4\/51 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 14. Suppose -2*w + 81 = -5*z - w, -p*z + 2*w = 60. List the prime factors of (z + -1)*(-4)\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*v**3 - 219*v**3 - 227*v**3 + 665*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lblslklllbbllzzllkl. Give prob of picking 1 k and 1 z.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23236267 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 843179?\nAnswer: -843178.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3036)\/(-5244)*9\/((-99)\/(-2))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*l**5 - 907*l**4 + 5345*l**3 + 6887*l**2 + 236*l - 364 = 0. Calculate l.\nAnswer: -1, -2\/7, 1\/5, 13, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + 2 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 6788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r**2 - 612*r + 612*r as k*r + j + z*r**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**6\/120 + p**5\/10 + p**4\/8 + p**3\/2 - 15*p**2. Let h(s) = 4*s + 3. Let a be h(-2). Is q(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 4 - 16. Let q(y) = 2*y - 2. Let m be q(7). Suppose 0 = x - m - 8. Calculate the smallest common multiple of x and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 6*x + 2. Let d = -55 - -61. List the prime factors of c(d).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7230\/70 + 14\/(-49) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 6:13 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -9*q. Let k(m) be the third derivative of 22 + 0*m**4 - 1\/30*m**5 + 0*m**3 + 0*m + 2*m**2. Give k(n(t)).\nAnswer: -162*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 476 + -458. Let k = -3 - -5. Let p = k + 10. Solve a + 3*a - 2*z = p, 4*a + z - w = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82670 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1005 - -1007. Solve -2*c - f = -12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 148 = -a - 144, 0 = -5*j + 4*a - 16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**5\/210 - 5*d**4\/84 - 1178*d**2. Factor t(v).\nAnswer: -2*v*(v + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93*k**3 - 13*k + k**2 + 13*k + 123*k**3 + 608 with respect to k.\nAnswer: 648*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 632, 1241, 1818, 2351, 2828, 3237?\n\"Answer: -2*b**3 - 4*b**2 + 635*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqcqcqqccq.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, d: 3}. Give prob of picking 1 y and 3 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - 74*m - 212. What is a(-33)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -91. What is the least common multiple of 12 and o?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39323.\nAnswer: 39323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l**3 - 3111 + 3111.\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17799107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0 - 46*a - 36*a - 121*a + 12*a in the form s + b*a and give b.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 845510651 to the power of 1\/2, to the nearest integer?\nAnswer: 29078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r - 2*r**2 + r**2 + 2 + r. Let a be l(4). What are the prime factors of (-7)\/(a - 52\/24)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 919094 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 19*u + 21. Let m be k(18). Suppose 0*s - 4*v = 3*s - 261, 0 = 3*v. Suppose -40 = -2*x + h, 5*x - m*h - s = -7*h. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 5*u + 7. Let o be n(-6). Let a(r) = 5*r**3 + 3*r - 1. Let h be a(3). What is the greatest common divisor of h and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 202325, 202327, 202329, 202331, 202333?\nAnswer: 202335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2666594?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33.3 - 33. What is the nearest to r in -6, 1\/3, 6, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(3*3\/(-6)). Suppose k = -o*y + 2, -4*k = -y - 14 - 3. Let x = 273 + -4646\/17. Which is smaller: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4353184?\nAnswer: 2, 11, 83, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*y + 6 = 0, y + 271 - 274 = -5*l. Solve l = -j + 10 - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7*u\/(u\/u**(10\/3)*u*u*u))\/(u\/((u\/((u\/u**(-8\/3))\/u))\/u)*u**(1\/16)) assuming u is positive.\nAnswer: u**(173\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 1:55 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f + f**3 + 6*f**2 - 2*f - 7*f**2 - 1 + 3 as t*f + h*f**3 + x*f**2 + i and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.97 - 0.03. Let q = p - -8.2. Let l = q + 1. Which is the closest to 0? (a) 2 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) + (-6)\/(-12). Let w = 16 - 33\/2. Let p = -10 - -15. What is the nearest to z in p, w, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 16. Suppose -l - 4*l + r*t = -155, -2*l = -4*t - 62. Let k = 47 - l. What is the lowest common multiple of 14 and k?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2690 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 68094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6 = 0, -3*z - 4*v = -0*v - 329. Let r = 160 + z. Let x = 389 - r. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177 - 226 - 230 + 1088 + 5*f - 233 - 222.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13\/2 + -19\/3. Let i(l) be the second derivative of 0*l**2 + 0*l**4 + 0 + l - y*l**3 + 1\/20*l**5. Find the second derivative of i(a) wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from {t: 4, i: 3, d: 9, o: 2, p: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**3 + 4*j - 4*j**3 + 8*j**3 - 6*j - 6 - 9*j**2. Let x be b(-9). Solve -2*i = i + x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 + -47. Suppose -19*a - 33*a = -156. Suppose -a*v - 10 = -h, 0 = -4*h - v + f - 5. Solve -h*o = -2*d - 2, -4*o + 4*d = -0*d + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*u + 6*u - 813 = 0, -s + 161 = u. Let t = s + -253. Let g = t - -90. Let c(r) = -r**3 - r. Give c(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, p: 1, d: 6}. Give prob of sequence lldp.\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 23 + 129*m + 31 - 22 + 3*m.\nAnswer: 132*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**4 - 4336*t**3 + 1192208*t**2 - 9262208*t = 0.\nAnswer: 0, 8, 538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b**2 + b**2 + 2*b**2 + (-7 - 12 - 9)*(-b**2 + 5*b**2 - 3*b**2) as q*b + o + i*b**2 and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13285 + -1.13285. Suppose 10 = 6*w - w. What is the closest to 0.1 in v, w, 63?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1 + (0 - 2 + 4)*(3 - 6 + 2))*(4*a - 2*a - a)*(2 - a**4 - 2).\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -428*o**4 - 5*o**3 - 836 wrt o?\nAnswer: -1712*o**3 - 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**4\/12 - 7*z**3\/6 + z**2 + 42*z. Calculate c(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -175a9 (base 11) to base 14.\nAnswer: -8dd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 2. Let t = -677\/7 + 3317\/28. What is the common denominator of ((-22)\/24)\/d*-5 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 3 + (1 - 2 - 1)*(2 + 1 - 1) + 2 - 4 + 0)*(4*k + 5 - 5) in the form f + u*k and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**8*h*h)\/h**(4\/7))\/(h**3*h*h*h**(-6)\/h*h*h) assuming h is positive.\nAnswer: h**(66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 4:10 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -2, -985\/1434?\nAnswer: -985\/1434","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1497*t + 7537*t - 527*t.\nAnswer: 8507*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.9151505 to 3 dps.\nAnswer: 4.915","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(3\/(-45)*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1322224 - -211?\nAnswer: 1322440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -726*t - 8796*t - 4710*t.\nAnswer: -14232*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/7*455\/(-65)*(-20)\/6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ditfidpiiudtfd. Give prob of sequence upf.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18790 + 18790 - 294*u**2 + (0*u + 0*u + 3*u)*(0*u + 3*u - u) - 3*u**2 + u**2 + 4*u**2.\nAnswer: -286*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -14*g**3 + 3*g**2 + 3*g - 75. Let x(t) = t**3 - t**2 - t - 1. Calculate -d(k) - 3*x(k).\nAnswer: 11*k**3 + 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 33*c**2 - 26*c - 113. What is l(31)?\nAnswer: 1003","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*b = 4, 0*b = 5*m - 5*b. Let h(u) = 96 - 33 + 2*u - 8*u - 61. Calculate h(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -2\/320683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 5.3 (c) -708 (d) -2\/13 (e) 1\/2 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 224243 + -3?\nAnswer: 224240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 - (-5 - -5 - (-1 - -3)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - (1 + (-5 - -16))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25331.\nAnswer: 73, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 608.8697mg to kilograms.\nAnswer: 0.0006088697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1318\/55 + -279\/11. Which is greater: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {i: 1, d: 3, w: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + k**2 + k**3 + k**3. Let n(t) = 2*t**3 + 3*t**2. Let r(h) = -h**2 - 6*h - 6. Let m be r(-4). Suppose -m*g = 1 + 5. Give g*o(z) + n(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -155, 53, 3, 4 in increasing order.\nAnswer: -155, -4, 3, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 340*l**5 + 241*l**3 + 2*l - 46533.\nAnswer: 6800*l**3 + 1446*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/50 and -62\/75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 3\/4, 27, -1?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, 5, -3 in decreasing order.\nAnswer: 5, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 3:35 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 7:25 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129\/5 - -3659\/140. Find the common denominator of t and 117\/2044.\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 640 and 400?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13709\/3798 - -1\/633. Let h = 7423\/5 - 159563\/105. Let f = 14197\/462 + h. Find the common denominator of f and t.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 439 - 1250. Let v = m - -1260. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*k + 78*k + 2*k**3 + 123*k**2.\nAnswer: 2*k**3 + 123*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 12:30 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -251206?\nAnswer: 251208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264922020 to the power of 1\/2, to the nearest integer?\nAnswer: 35566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-56) - (-72)\/14. Suppose 2*i - 381 = -b*a + 6*i, 5*a - 3*i - 382 = 0. Suppose a = 4*x - 23. What is the highest common divisor of 175 and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-30))\/(((-242)\/11)\/44).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (-18 - -11 - -13)) + -105 + -15?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 1508 = 500. Calculate the lowest common multiple of 14 and w.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-140)\/(-21) - (-4)\/(-6). Let r be (6\/p)\/(1\/13). Is r less than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2184)\/(-27300))\/(2\/(-6)*3\/(-20))\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -141*h + 287. Let d be b(2). Put 2, d, -1, 20 in decreasing order.\nAnswer: 20, d, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o = 29*o - 120. Let t be (27\/2)\/(o + (11 - -10)). Find a, given that -21\/4*a - 3\/4*a**3 - t - 15\/4*a**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-648))\/((-16)\/144).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 41785*o**2 + 8064 - 8064 + (-3 - 1 + 2)*(-4*o + 4*o + o**2) in the form k + z*o**2 + t*o and give z.\nAnswer: 41783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -1. Suppose -i = -10*h + 5*h + 25, -n*i - 17 = 2*h. Calculate the greatest common divisor of h and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-5\/4)\/p)\/p)\/(p\/((p\/p**(-8\/3))\/p)*p))**(-5\/12) assuming p is positive.\nAnswer: p**(155\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4353 (base 7) in base 4?\nAnswer: -120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13656 and 24?\nAnswer: 13656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*p - 104 = 0, 0 = -2*o + p - 22 - 57. Calculate the common denominator of -33\/106 and 3\/(-1) - 7\/o*127.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138 - -141) + (2 + 0 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/6 - 2*f + 9\/2.\nAnswer: (f - 9)*(f - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 6. Let m be a(-11). What are the prime factors of 1 - m - (2 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3 - 50890*t**2 - 3603384*t - 7003224 = 0.\nAnswer: -25374, -69, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 1:38 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4086439031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 - i**2. Let s be h(-2). What is the units digit of (-495)\/s*((-28)\/6 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 141092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 18 = -3*z, 3 + 0 = -r - 3*z. Suppose 40*s - 104 = 14*s. Suppose -r = b + s*y - 22, -b + 20 = 5*y. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7015 or -7013?\nAnswer: -7015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = x - 3, 10*x + 11 = 2*q + 5*x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**8\/84 - 13*w**7\/168 - 11*w**6\/72 - w**5\/12 + 8*w**3\/3 + 1. Let o(f) be the third derivative of q(f). Factor o(g).\nAnswer: -5*g*(g + 1)*(g + 2)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 + 92. What is the closest to 0 in t, 0.2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddccddddgcc. What is prob of sequence gcdc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -9561 at most as big as -9462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1933 bigger than -88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2209293?\nAnswer: 3, 245477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2207967 + 55970*a**2 - 2207967)*((3*a**2 - 2*a**2 + a**2)*(-1 - 1 + 0) + 3*a**2 + 3*a**2 - 4*a**2) to p*a + s + d*a**3 + b*a**2 + i*a**4 and give i.\nAnswer: -111940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220120 (base 4) in base 8?\nAnswer: 25030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-20) - 10\/(-8))*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*i - 311 = i, 2*n = -4*i - 178. Is n greater than or equal to -80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 11*j**2 + 15*j + 99. Let i(k) = 6*k**2 - 8*k - 49. Let o(a) = -11*i(a) - 6*u(a). Find the first derivative of o(g) wrt g.\nAnswer: -18*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 + 88 = -26*p. What is the highest common divisor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-24)*(-9)\/(-2). Let y be ((-112)\/224)\/(-2*1). Factor 9\/4 + x*t + y*t**3 + 7\/4*t**2.\nAnswer: (t + 1)*(t + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**3\/3 - a. Let n be w(1). Suppose 0 = -3*m - h + 28, -n*m + 12 = h + 3*h. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 29. Solve -i + 1 + 1 = m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10713\/14216 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*k + 4*p + 1, -p + 2 = 0. Suppose -b + 2*b = -2*j - 9, k = 4*b - 3*j - 19. Is b + (-161)\/(-5) - 2\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9933 divided by 3311.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132 by 129279.\nAnswer: -44\/43093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*j + 6. Suppose -j*c + 280 = -0*c. Calculate the greatest common divisor of 20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 3 - 2*y - 5 - 4*y**4 - 3 + 2*y**3 to the form w*y + m*y**2 + t*y**4 + n*y**3 + v and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j - 684 = -28*j. Let l = j - 72. Solve 0 = -4*z + x + l - 14, 0 = -z + 5*x + 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 22*k. Let z(d) = -1448*d - 1. Determine z(n(w)).\nAnswer: -31856*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtvtvtttttttttt. What is prob of sequence tvv?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, m: 1, k: 1}. Give prob of picking 1 m and 1 k.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 111 or 2209\/20?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 337362029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97828.49ug to kilograms.\nAnswer: 0.00009782849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**4 - 3504*f**3 + 8*f**2 + 114*f + 1 wrt f?\nAnswer: -72*f - 21024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-66)\/(-18) - 1\/(-3). Let t(u) = -2*u**2 + 4*u + 5. Let j be t(n). Find the common denominator of (j\/10)\/(6\/9) and 85\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 7:12 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*v**3\/3 - 36*v**2 - 426*v + 1512.\nAnswer: 2*(v - 3)*(v + 9)*(5*v - 84)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b + 6. Suppose -8 = -2*d - 7*l + 3*l, 5*d - 28 = -2*l. Let r be v(d). Let f = 25 + r. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3260471*y**2 + 2*y + 2939907 wrt y.\nAnswer: 6520942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1558, -4389, -8676, -14431, -21666, -30393, -40624?\nAnswer: -52371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*((sqrt(14)\/sqrt(2))**2 + sqrt(7)) - sqrt(7))*-1.\nAnswer: -140 - 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.169525?\nAnswer: -0.33905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 46, 80, 118, 154, 182?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*o + 1467 - 282 + 985 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14715856, -29431695, -44147534, -58863373, -73579212?\nAnswer: -88295051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 11:31 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 3*r + 48 = 0, -5*o = r - 280 + 272 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 119, 179, 241, 305?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.4 (b) 0.13 (c) 3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 15) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -640848 divided by 4.\nAnswer: -160212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 38\/(-57)*(-1 + 1\/(-2)). Suppose 4*g - 3*g + 5 = 0. Sort g, -3, j.\nAnswer: g, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 488 and 11944.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*l + 24 = -0*i, -4*i + 21 = -3*l. What is the common denominator of -75\/4 and 210\/(-27) - 1\/i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2051175 divided by 11721?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/70)\/(260\/728)*(-182)\/14.\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 725.5882 microseconds?\nAnswer: 0.0007255882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/60)\/((-1)\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**7\/350 + d**6\/200 - 4*d**5\/25 - 2*d**4\/5 - 26*d**2 + 22*d. Solve n(o) = 0 for o.\nAnswer: -4, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 13*c. Let n(w) = w**2 - 1567*w. Calculate n(u(v)).\nAnswer: 169*v**2 - 20371*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287 a factor of 126663074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*t + 8 - 16 + 3 + 5 + 104*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328, 329, 330?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4156535283 to the nearest integer?\nAnswer: 64471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 154\/5 (c) 3 (d) 1\/5 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 21020111100?\nAnswer: -21020111020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*c**2 + c - 173 + 537 - 184 - 179 in the form x*c + q*c**2 + s and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 666 - 669. Which is the closest to 1? (a) 4 (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53\/3 + -52\/3. Let y be (3\/(-18))\/(2\/(-4)). Find o, given that y*o**3 - 1\/3*o + 1\/3*o**4 + 0 - r*o**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2057, -4115, -6173?\nAnswer: -8231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/5 - (-128)\/20. Which is the third biggest value? (a) -0.5 (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -71331*t. Let h(f) = f. What is x(h(d))?\nAnswer: -71331*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + (131 - 34 - 34).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(13\/((-780)\/64)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -24, -72, -158, -294?\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-13)\/((((p**(2\/21)\/p)\/p)\/p)\/p)*(p*p\/p**(1\/6)*p)\/(p\/(p*p**(-2\/51))*p) assuming p is positive.\nAnswer: p**(-5213\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*j - 1234 = 142*j + 134*j - 258 for j.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, v: 1, r: 2, z: 7, k: 6, h: 1}. Give prob of picking 2 r, 1 h, and 1 z.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2*5\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**4\/3 + q**3\/6 - 101*q**2\/2 + 561*q. Differentiate j(i) with respect to i.\nAnswer: 8*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7761603?\nAnswer: 3, 23, 197, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h + 2*h - 3 + 7*h**3 wrt h.\nAnswer: 21*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 13*d - 9*d + 23 = 0, 22 = -2*v - 4*d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 2*y - 5. Let w be a(-10). Let g = w + 55. Let s = g + -31. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/117?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-1 - 2\/3). Let g = 5.966 - 5.766. Which is the third biggest value? (a) 3\/5 (b) t (c) g (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/5))**(6\/7)\/(l\/(l\/(l**(-5)\/l))*l\/(l*(l**(-14)\/l*l)\/l)*l) assuming l is positive.\nAnswer: l**(-326\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -540 = -2*z - 4*k, -225*z - 2*k - 1386 = -230*z. What are the prime factors of z?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-6)*(-180)\/150. Let b = -22 - 10. Let i be 92792\/b + (-1)\/x. What is i rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 714 is divided by 185?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 - -2?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 267*g = -268*g - 31758, -4*y + 3*g = -18162. Calculate the greatest common factor of 144 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1232 and 448.\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbkskr. What is prob of picking 1 s, 1 r, and 2 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 + 0*i + 0*i + (3 - 2*i - 3)*(2*i - 3*i - i) + 182*i + 55*i**2 - 57*i**2 + 129*i - 62*i.\nAnswer: 3*i**2 + 249*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3220217 is divided by 1299?\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26288754*a**2 - a - 42812 wrt a.\nAnswer: 52577508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rssr when four letters picked without replacement from {f: 3, s: 2, r: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 929718 and 684854.\nAnswer: 3826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*o - 76*o + 148*o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -7 + 5 + -3 - (-7 + 9).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*f - q - 3*q, 2*f + 2*q = 2. Let j be 21\/14 + (-1)\/f. Let s(m) = m**3 + 7*m**2 - 2*m - 8. Let h be s(-7). Solve h*x = j*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 56*j - 53*j + 6807, -3*j = -2*m + 13599. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1305588153.\nAnswer: 3, 435196051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z + 174. Determine p(50).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 48.75059 millennia?\nAnswer: 487.5059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66159864 divided by -4497.\nAnswer: 14712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 31*n**6\/8 - n**5\/60 - n**4\/12 + n**3\/3 + 7494*n**2. What is the third derivative of c(f) wrt f?\nAnswer: 2790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, -0.3, 13?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 3*z + 17*b - 21*b = -16, b = 2*b - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + 39 - 2)*(25*o - 7*o + 3*o + (4 - 2 + 1)*(-2 + 2 + 2*o))*(0*o**2 + 2*o**2 - o**2) as u*o**2 + r*o + t + w*o**3 and give w.\nAnswer: 1404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/15 - ((-7192)\/(-20))\/(-29). Solve -155 = -b*g - 95 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1460)\/(-3066) - 335\/(-840)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -321.076 - -322. Let z = -0.92 + m. Round z to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 593758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 35317.1 milliseconds?\nAnswer: 35.3171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65831, 263365, 592599, 1053533?\nAnswer: 1646167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9\/1811, -3, 20, 4.\nAnswer: -3, -9\/1811, 0, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 919 is divided by 84?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(117))\/(-1*(sqrt(9)*-2 - sqrt(9)) + sqrt(9)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 3:18 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**4\/12 + 4*p**3\/3 + 2*p**2. Let w(h) = 1. Let q(s) = -k(s) - 6*w(s). Let o be q(7). Solve j = -o*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -3*g - c + 6, -2*g - 2*c + 4 = 0. Suppose -3*f + 48 = -o, g*f = -3*o - 0*o - 155. Which is smaller: o or -50?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 = l, -5*l + 22 = 2*y + 3. Let b(u) = -u**3 - 7*u**2 - 4*u - 6. Calculate the lowest common multiple of b(-7) and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*b - 30*b + 216*b + b**2 - 50 - 114*b - 34*b.\nAnswer: b**2 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111184 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -31e?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 13, -5\/2, 0.1164, -1\/3 in ascending order.\nAnswer: -5\/2, -1\/3, 0.1164, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otaatataaaatqttaaaqt. Give prob of picking 1 o, 1 t, and 2 a.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -596, -584, -570, -554, -536, -516, -494?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.69387 plus -41.2?\nAnswer: -43.89387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 80*d + 483. Let u be a(-6). What is the nearest to 3\/10 in u, 1, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343)*-1 - (sqrt(7) + sqrt(14)\/sqrt(2) + 0).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -173.1 - -0.0471464842?\nAnswer: -173.0528535158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptn when three letters picked without replacement from kkstknltsslpl?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(4 - (-12)\/(-3)). Which is the second biggest value? (a) 0.2 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrsk when four letters picked without replacement from {s: 1, r: 1, k: 4, q: 2, a: 2}?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 1 - 16*a**2 + 224*a**2.\nAnswer: 208*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3546720 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -498*p + 1 - 348*p + 853*p - 1.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 10 + 10 = 0. Find the second derivative of -g*o**2 - 2*o - 2*o - o**2 wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40\/7*a**2 - 2\/7*a**3 + 216\/7*a - 576\/7.\nAnswer: -2*(a - 24)*(a - 2)*(a + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**2 - 21*o + 36 = 0?\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -55*o - 59*o + 114*o - 2*o**2. Let v(d) = -290*d. Calculate v(f(q)).\nAnswer: 580*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -23 + (-33 - (-33 - 0)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1386*d = -1387*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31479096 a multiple of 354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13203072 is divided by 2134.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -3*o + 11, 0 = c - 9*o + 7*o + 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3873\/33 + -1 - 2. Let d = o + -114. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133023 is divided by 26056.\nAnswer: 2743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11920a - 5?\nAnswer: -119213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 90520 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.20223 + 0.20223. Let t be 6\/(-4)*(-2)\/15. What is the nearest to 0.2 in 5, t, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700.699 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 6. Let a be q(-13). Let b be (-1 + 6)*(0 - -1). Let g = a - b. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/15)*(g*g\/((g*g*g**(1\/10)*g)\/g*g))\/g*g**(1\/4)\/((g**(-4)*g)\/g*g) assuming g is positive.\nAnswer: g**(73\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**7\/21 - o**4\/12 + 6*o + 6. Let j(q) be the first derivative of l(q). What is the third derivative of j(w) wrt w?\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2. Let p(i) = 33127*i. Calculate f(p(x)).\nAnswer: -2194796258*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 992*-519.4.\nAnswer: -515244.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h + 8*h - 3*h - 2*h. Let u(s) = -2*s. What is 4*j(m) - 3*u(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3158 - -3278. What is the lowest common multiple of y and 42?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 121?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5710, -5731, -5788, -5899, -6082?\n\"Answer: -3*i**3 - 5707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3655, 3669, 3689, 3715?\n\"Answer: 3*a**2 + 5*a + 3647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109984365 and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105 and 1575.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 + (-22 - -58) - -22) + 46?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35568.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/19 + 70*l**3\/19 - 288*l**2\/19 - 360*l\/19 = 0. What is l?\nAnswer: -1, 0, 6, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 754564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-43 - -77) + -32 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -568*x + 10947*x + 601982 for x.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0053 and -0.5.\nAnswer: -0.5053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 153979 + -42a?\nAnswer: 15354b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -19. Let h = 44 - 41. Suppose d + f + h = -4*f, 76 = 4*d - m*f. Calculate the remainder when 82 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-6)\/9*(-192)\/(-2464)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95300 is divided by 6347?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**6\/540 + n**5\/270 + n**4\/54 - 17*n**2. Let g(f) = 0. Calculate f.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*f + 3*n, 70 = 5*f - 3*f - 5*n. Calculate the greatest common divisor of f and 1125.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*z - 56*z = 3*d - 431386, 4*d - 345096 = -4*z. Round z to the nearest 100.\nAnswer: 86300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((sqrt(132) + sqrt(132)*2)*-3 + ((sqrt(132) + -1*sqrt(132))*-3 - sqrt(132))))\/(5*(2*sqrt(300) + sqrt(300))*-3))**2 + 3.\nAnswer: 6251\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**4\/4 + 7*j**3 - 13*j**2\/2 + 70*j - 76. List the prime factors of z(16).\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 3 + -5 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4 + (-87)\/6. Let z = -6 - o. Suppose -u - 8 = 3*p, 0*p + 5*p = -5*u - z. What is the closest to 1 in u, 4, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 1315 = 2185. Let o = g - -1195. Let c = -269 + o. Is c a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-25)\/((-175)\/(-14)) - (-905 + 1) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437 = -y + 93. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17544 and 1122?\nAnswer: 192984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.051 + 0.0439. What is w rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11534399297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 211 + -51. Suppose t + 3*x + 115 = 0, 5*t + x + 4*x + 625 = 0. Let v = b + t. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, -2, -4, 1 in decreasing order.\nAnswer: 68, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7678 or 7677?\nAnswer: 7678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c - 67. What is m(-19)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -16210.\nAnswer: -27\/16210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(20\/(-8) - -4). Let y(z) = z**2 - 5*z - 3. Let g be y(d). Suppose 3*j - 9 = g. Solve -5*f + j + 1 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**6\/180 + l**5\/90 + l**4\/18 - 7*l**2. Factor j(a).\nAnswer: -2*a*(a - 2)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57963*c**2*r**2 - 986*c**2*r + 3*c*r**2 - 21265600*c*r - 2*c wrt c.\nAnswer: 115926*r**2 - 1972*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-4)*1*1\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5391727.\nAnswer: 11, 43, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 7344196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2617\/155, 11, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, e: 1, g: 6, w: 2, f: 3, p: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (180*r + 2 + 846*r - 84*r)*(0*r**2 + 6*r**2 - 4*r**2).\nAnswer: 1884*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*u**2 - 159*a*u + a + 670*u**2 wrt u?\nAnswer: 2*a + 1340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -8, 65, -2 in descending order.\nAnswer: 65, 4, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17492 - -17510. What is the nearest to -8 in 0.5, m, 1.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5904)\/410)\/(78\/(-65))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 - 16*a + 22. Let o be n(-9). Put o, -13, -19 in decreasing order.\nAnswer: o, -13, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, j: 7, z: 8}. Give prob of sequence jj.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/16)\/((-75)\/50)*-20. Suppose -8*r = -4*r + a*i - 29, -21 = -4*r + 3*i. What is the greatest common factor of r and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*3*sqrt(11)*-2.\nAnswer: -30*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15375 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1132*f + 1975. What is the thousands digit of n(27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*2\/(-3)*-3. Let t = -58.28 - -59. Let w = t + 4.28. Sort 1\/6, i, w in descending order.\nAnswer: i, w, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, a: 3, o: 2, c: 3, v: 5}. What is prob of picking 2 v?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2. Let o(h) = 1. Let y(r) = 10*r - 20. Let b(m) = -20*o(m) - y(m). Determine b(t(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-104)\/(-416))\/((-198)\/72)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -355 - -699. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*f - 14\/3*f**2 + 2\/3*f**4 + 4*f**3 + 0 = 0. What is f?\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -199*w + 35985*w**4 - 3 - 17993*w**4 + 53*w - 17991*w**4 to the form n*w**4 + p*w**3 + x + i*w + m*w**2 and give i.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 61 = 2*t - 139, 0 = -5*u - 5. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 at most 118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 456 + -420. Calculate the highest common divisor of g and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19090 and 2687872?\nAnswer: 13439360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 3*b + 3*o - 8678 = 0, 3*o = -3*b + 6507. What is the third derivative of -4*a**2 - 16 - 2046*a**3 + 3*a**2 + b*a**3 wrt a?\nAnswer: 750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 4*l = 32, 8*l + 28 = -4*q + 5*l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpksyyybbyccysyybc. Give prob of picking 2 c and 1 p.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*d = 2*d + 6, -4*r + 10 = -2*d. Solve -2 = -3*k - 5*w - 0, 4*k - 12 = -r*w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000128 rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -19940*w - 119640. Calculate a(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 12772?\nAnswer: 6386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 11:57 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2808055 - -1.01919452. Let y = 1.3 - g. What is y rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - a + 1. Let b(z) = 7*z**2 + 4*z - 4. What is b(p) + 6*i(p)?\nAnswer: p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 135424 (base 6) to base 7\nAnswer: 52423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -53*j. Let y(s) = -28429*s**2. Determine y(a(f)).\nAnswer: -79857061*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 17423*i**2 + 17423*i**2 - 2*i + i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 35 = 3*k - 5, 38*g = 38*g + k + 2 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uon when three letters picked without replacement from {n: 2, o: 3, e: 1, m: 6, u: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7122.223 centuries in millennia?\nAnswer: 712.2223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22380*u**2 + 4869*u + 2?\nAnswer: -44760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*f + 30 = 53*f - 5*p, 2*f = -3*p + 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -5. Let i(z) be the first derivative of -z**3\/3 + 11*z**2\/2 - 7*z + 3. Let j be i(10). Solve h + 7 = 2*f, 0 = 5*d - j*f + 22 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569553886 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.074 in 0.1, -0.12, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + 3*((2*sqrt(384) - sqrt(24))\/sqrt(8) + -2)**2)*-6*-1.\nAnswer: -504*sqrt(3) + 2664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -14*s - 9. Let k(n) = 14*n + 10. Give -5*k(q) - 6*w(q).\nAnswer: 14*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 91, 106, 129, 160?\n\"Answer: 4*g**2 + 3*g + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/(10\/(300\/(-90)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -37. Suppose -4 + 21 = -a - p*h, 4*a + 4*h = -8. Suppose 0 = 4*r + t - 3*t + 8, -3*r - 15 = 3*t. Sort 0.1, a, r in descending order.\nAnswer: a, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**4 + 0*j**4 + 4*j**4)*(0*j + 4*j - 2*j) + 71*j**4 + 267680*j**2 - 14 - 2*j - j**5 - 267680*j**2.\nAnswer: 3*j**5 + 71*j**4 - 2*j - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -183 - -202. Which is smaller: 3\/7 or x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, w: 2, c: 2, s: 1, f: 1}. Give prob of picking 1 n, 1 w, and 1 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4873, -9926, -15363, -21382, -28181?\n\"Answer: -33*f**3 + 6*f**2 - 4840*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45542 equal to 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/17 - 92*d\/17 + 94\/17.\nAnswer: -2*(d - 1)*(d + 47)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/1974 and 16\/23827167.\nAnswer: 47654334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**7\/21420 - c**6\/1224 - 13*c**4\/24 - 16*c**2. Let u(k) be the second derivative of n(k). Solve u(i) = 0 for i.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/987084 and -73\/8883.\nAnswer: 139178844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 61 = 11. Calculate the least common multiple of 7 and b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17\/231672 or -1?\nAnswer: -17\/231672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**2 - 27*f + 68. Let o be w(4). Let h(d) = d**2 - 3*d - 3. Let y be h(-2). Which is greater: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205688?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/sqrt(108))**2 + sqrt(13))*6.\nAnswer: 26\/3 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.514 and -6.\nAnswer: -6.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*w**3 + 133*w**3 + 18*w**3 + 149*w**3.\nAnswer: 247*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 1689.\nAnswer: 13512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19\/9857 - -1294003\/1419408. What is the common denominator of z and 73\/480?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o + 5*p - p, 0 = 2*o + 3*p - 4. Let x = o - 0. What is the least common multiple of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 11*z - 110 = 0. Let g = z - 52. Solve 3 = 3*c - g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1442 = 2*q, -3*s - q + 6283 = 1932. What is the tens digit of ((-3)\/(-9))\/((-1448)\/s + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, f: 4, b: 3, c: 3}. What is prob of picking 1 f, 1 x, and 1 b?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = p - 7085, -3*p - 2*w - 272 + 21505 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 575 + -570. Suppose -3*h + 1286 = -n*k - 2456, -4*k = -4. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7)**(1\/26)\/(l\/l**(-1\/5)*l)**38 assuming l is positive.\nAnswer: l**(-10833\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3453450 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l - l + 7*l + (0 - 2*l + 0)*(-5 + 6 + 0))*(-4*l**4 - 2*l**3 + 2*l**3).\nAnswer: 4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/23328 and -91\/40.\nAnswer: 116640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10b (base 12) to base 5.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/54 and 137\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**4\/8 - 2*r**3\/3 - 3*r**2. Is a(-6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 629, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (77 - (35 - -44))*-5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -735 (c) 119 (d) -0.89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21579 or 20858?\nAnswer: 20858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**2\/2 + 12*g - 3533. Suppose -6 = 3*k + 3*q, 4*k - q + 26 = k. Give f(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 456*n + 422*n - 2 - 1400*n + 413*n.\nAnswer: -109*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-246)\/(12\/4) + (-2 - 2). Let y = -35 - l. List the prime factors of y.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(1071\/(-54))\/(4\/24).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 10 = j, -3*l + 40 = 2*j + 3*j. Suppose -3*x + 235 = 2*k, 0*k + 100 = k + l*x. Is 25 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 4*r - 2. Let o be 26\/10 + (-22)\/(-55). What is d(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 92871*g + 92408*g - 2*g**3 + 2*g**2 - 185644*g + (g + 1 - 1)*(3*g**2 - 2*g**2 - 3*g**2).\nAnswer: -4*g**3 + 2*g**2 - 365*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 12:34 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2962, -5743, -8524?\n\"Answer: -2781*b - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15822, 15819, 15816, 15813, 15810, 15807?\nAnswer: 15804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 2)\/(1\/(-2)). Let c(w) = w**3 - 5*w**2 - 7*w + 10. Let j be c(6). Put -3, j, r in increasing order.\nAnswer: -3, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 1\/25*s**5 - 71 - 1\/15*s**3 + 0*s**2 + 0*s + 0*s**4. Solve n(u) = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 513, 1195, 1865, 2517, 3145, 3743?\n\"Answer: -d**3 + 689*d - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 8*k + 24. Calculate the remainder when 60 is divided by p(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4. Suppose -l = -s*l + 90. Suppose -3*h - 27 = -l. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.231 times -6736\nAnswer: -1556.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5))\/(-4*(-7)\/8*(-16)\/(-21)).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 224512 and 86823.\nAnswer: 22226688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -13*u**2. Let w(f) = 3156*f**2. What is q(w(j))?\nAnswer: -129484368*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from spppsssppspp. What is prob of sequence psps?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 243 + -247. Let y = -22 - -17. Sort y, k, -11 in ascending order.\nAnswer: -11, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by -877.\nAnswer: 66\/877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-68)\/(-136)*(-10)\/10. Let m = 7.5 + -7. What is the nearest to -19 in m, -0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - 0 - 5040\/147) + 6\/21\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 8.4. Let j = m - 0.1. Let z = -0.06 + -4.94. What is the second biggest value in z, 3\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2253734 + -0.221?\nAnswer: 2253733.779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21369218 and 0.423597?\nAnswer: 21369218.423597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 41*q + 13*q**2 + 206*q**3 - 102*q**3 + 10 - 103*q**3. What is y(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/((-25)\/(1050\/(-28))).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 3*k**2 - 1\/15*k**5 - 1\/6*k**4 + 2\/3*k**3 + 1\/30*k**6 + k + 0. Factor i(d).\nAnswer: 4*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 353.8 to zero decimal places.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*c - 2183 + 1237 - 990 - 3584 = 0 for c.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 + 2*w - 85. What is the smallest common multiple of 18 and g(7)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*sqrt(272)*2 - (((sqrt(2057) + -1)**2 - sqrt(2057))*6 - (-1 + sqrt(2057) + -2)).\nAnswer: -12351 + 225*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - ((0 - 0) + 2)) + 0 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65 or 185\/7?\nAnswer: 185\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-9) - (1578\/9 + 0). Let b = 206 + w. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 10*u - 3. Determine x(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t - 210*t**2 - 4*t - 32*t**2 - 20*t**2 to the form f*t**2 + u*t + v and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-720) - (1\/4 - 0).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 983998?\nAnswer: 2, 53, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16306 is divided by 1355?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t - 2*t + 2*t)*(189 - 34 - 28).\nAnswer: -762*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 46*t + 108. Is s(45) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197, 195, 193, 191, 189?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*t**4 - 21*t**3 - 15*t**2 - 19*t - 5.\nAnswer: -792*t - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1 = -2. Let v be (-6)\/20*j\/(-3). Let p = 2150.9 + -2151. Which is the closest to -2\/5? (a) v (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 28, 39, 22, -29, -120, -257, -446?\n\"Answer: -q**3 - 8*q**2 + 42*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/3890 and -5\/12.\nAnswer: 23340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3202807?\nAnswer: 673, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 12:54 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -907*d - 215*d - 2707*d + 15470 = -210441 for d.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -32457, -129870, -292239, -519576, -811893?\n\"Answer: -2*y**3 - 32466*y**2 - y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 divided by 5?\nAnswer: 73\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3 (b) 0.69 (c) -2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 3:14 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 163 - 159. Let h = -1 + 2. Solve 5*s + h = -t, 2*t + s = c*t - 9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 0.58.\nAnswer: -5.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.088 and 647761.5?\nAnswer: 647761.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97470*r + 18 + 195000*r - 97532*r.\nAnswer: -2*r + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 6\/11 (b) -1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3\/7 - 66*q**2\/7 + 64*q - 384\/7 = 0. What is q?\nAnswer: 1, 8, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18252109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6830 is divided by 504?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -14 - 3) + (578 - -7). Solve g*l = 587*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -6, -35, -90, -177, -302?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -1 - 3. Let q be y*4*(-4)\/8. Find the second derivative of -2*t**q + 6*t**2 - 2*t**4 - 4*t**2 - 3*t wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 172664.\nAnswer: 3\/172664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100100100111 (base 2) in base 15?\nAnswer: 1d94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 6 + 19. Let s(c) = 2*c + 1. Suppose 0*n + 2*n - 2 = 0. Let m(t) = -1 - n - t - 2*t. What is a*m(x) - 8*s(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 0)*(3 - 3 + 2*m) + 2*m - 4*m + 3*m.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18347118?\nAnswer: 2, 3, 79, 38707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -115516a + -68?\nAnswer: -1155216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 + 1938516*c\/5 - 36831082\/5.\nAnswer: -2*(c - 969239)*(c - 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnwwnwwnwnnqnnwwwqw. Give prob of sequence wwnn.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4154297?\nAnswer: 7, 127, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1309 = -1659*b + 1846*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 754327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 385 and 18902785?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1960, -1962, -1964, -1966, -1968, -1970?\nAnswer: -1972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*((-200)\/5)\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*h + 177 - 39 = 0, 0 = -4*c + 3*h + 182. Calculate the highest common factor of 830 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/((-34)\/459)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1068370998?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 87*a**2\/2 + 3*a + 3. Let z be c(-11). Let m = 4824\/5 + z. Calculate the common denominator of 59\/7 and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o**3 - o**3 - 9*o**3 - 5*o**3 + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1875\/(-5))\/5*150\/(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + p + 0 - 3231*p - 4708 + 4708 + (-3 - 4 + 6)*(3*p - 6*p + p).\nAnswer: -3228*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -181125 and 0.4.\nAnswer: -181124.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*c + 7 - 35, 4*c - 4 = 3*i. Suppose 10*v - i*v = 4434. List the prime factors of v.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (5 + 0 - 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1991)\/(-543)*(-90)\/66.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 909 - 904. Solve -15*p + s*p - 50 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01057 - 68.51057. Let o = 1.3 - -67.7. Let y = o + k. Which is the closest to -2? (a) 1 (b) y (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289\/2 >= 645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-10)*8 - (3 - 14). Let s(v) = -3*v**2 - 10*v - 3. Let c be s(g). Let m = c - -198. Round m to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-10) - (-43512)\/(-109980). Let d = m + 133729\/18330. What is the common denominator of -1\/3 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**4 - h**2 + 7. Let p(j) be the third derivative of -j**6\/24 + j**4\/8 + j**2. Determine -2*p(z) - 3*v(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*a**2 + 15*a**2 + 21*a**2.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 798?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 0 - 24\/3. Let v be k\/(-4 - (-2 - 0)). Let t(f) = 3*f - 3. Is t(v) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 14*a**2 + 11*a - 13. Suppose 1 = -o - 1. Let l be 5*o - 3\/1. Is z(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = b, 0 = b + 10*u - 15*u + 3. Suppose -2*g - 3*r = -6*r + b, -2*g = 3*r - 12. Solve -10*l + 14*l - 12 = g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/35 and -36\/445.\nAnswer: 3115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/115188 and 43\/84564.\nAnswer: 27990684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + -28 + -15 + 44?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 5 + 1)*(2 - 2 - o) - 4*o + 2*o + 0*o - 27*o + 41*o - 39*o)*(-8 + 8 + o).\nAnswer: -29*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23431 - -48076. What is the ten thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.0706 (b) -2\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-62 - -64 - (-15 - -1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 438*50\nAnswer: 21900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-22) + (5 - (-15)\/(135\/(-63)))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2665 and 64165?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 160 + 19*n**2 - 51 - 44 + 30 - 2*n**2 as c + l*n**2 + i*n and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.9397027 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6.6 * -1469\nAnswer: 9695.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -19, 32, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 689 - 684. Which is the nearest to 2? (a) o (b) -2\/7 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*g**2 - 6*g**2 + 9*g**2)*(3 - 3 - 4) to f + o*g**2 + h*g and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(384) - -4*sqrt(384)))\/(2*sqrt(192)*-4).\nAnswer: -5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 4. Suppose 10*q = 7*q + 27. Let z be (4 + -1 - q)*-1. Let n be v(z). Solve 4*d = n*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34 + 120101?\nAnswer: 120135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -456*b + 3. Let c(y) = -459*y. Give c(k(u)).\nAnswer: 209304*u - 1377","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**7\/840 - t**6\/360 + 5*t**3\/3 - 5*t. Let m(a) be the second derivative of y(a). Find the third derivative of m(o) wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, f: 7}. Give prob of sequence fiff.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-648)\/336*24\/(-54)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159163 + 64634 = 20*c + 50757. What are the prime factors of c?\nAnswer: 2, 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1 - (-6 + 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184385 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 914 divide 38041594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3907, 31339, 105837, 250945, 490207, 847167, 1345369, 2008357?\nAnswer: 2859675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 m, and 1 j when three letters picked without replacement from {h: 1, m: 3, c: 3, j: 7}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 28\/13, -1\/13, -4?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/15*(70\/(-49))\/(8 - (-3880)\/(-490)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 180*x - 934. Let h be o(13). What is the highest common factor of 296 and h?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3278461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 145*v**2 - v + 1. Let q be a(1). Let f(n) = 145 - q + 0*n - 4*n. Let x(z) = z**2. Determine f(x(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-10))\/3)\/((-310740)\/(-517900))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 13\/8, -6\/19?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 748036616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-four fifths of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 + -123. What is the remainder when g\/(-8)*22 + 3 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 974949 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**6\/40 - 11*y**5\/300 + 4*y**4\/15 - 2*y**3\/5 - 323*y**2. Factor r(x).\nAnswer: -(x + 2)*(3*x - 2)*(5*x - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.2, 33, 20, 0.067, 9 in ascending order.\nAnswer: -0.2, 0, 0.067, 9, 20, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b - 24329 - b + 21391 as l*b + y and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2330 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 495 - -72. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*v + 3, 0 = 5*v - 0*v - 4*a - 42. Suppose -2*i = 16*z - 19*z - 12, 0 = 3*z + v. Solve -i*f + 2 = -4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 177 - (15 - (8 - -1)) and 9.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + (1*sqrt(190)*-4 - sqrt(190)) + ((sqrt(190) + (-3*sqrt(190) - sqrt(190)) - sqrt(190))*-3 - sqrt(190)))\/(-3*2*sqrt(1210)).\nAnswer: -7*sqrt(19)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-11)\/(r*r*r**14*r))\/((r\/((r\/r**(-4\/5))\/r)*r)\/r**2) assuming r is positive.\nAnswer: r**(-136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -609, 2\/13, 3, 543?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -759 and -4?\nAnswer: 3036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 8*v + 9. Let g be i(-7). Let b(r) = 5*r**2 - 2*r + 2. What is the units digit of b(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/(a*a*a**0))*a)\/(a\/a**0*a))\/(a**(-2\/3))**(1\/7) assuming a is positive.\nAnswer: a**(44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4238 and 520.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/21 (b) -388 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 - -4) + -8 + 0. Let r = c + 15. Determine n so that -2 - n**2 + 2 + 9*n**2 + 56*n**3 + 98*n**r = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19635377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60369 or -60384?\nAnswer: -60384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 98478 to the power of 1\/2, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -73\/2178?\nAnswer: -73\/2178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2. Let i(u) be the third derivative of -u**4\/24 - 4*u**2. Determine i(h(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d - 13. Let c be j(5). Suppose 0 = 10*n - c*n + 15. Is n < -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*i - 44 + 67 = -285 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -16*d + 71 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32788 divided by -8.\nAnswer: 8197\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8241 + -1.2241. Which is the third biggest value? (a) 2 (b) -1 (c) z (d) -1\/99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-7)\/525*(-5)\/(-4).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3281513 divided by 4?\nAnswer: 3281513\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28315666 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((-1 - -2)\/2). What is the second derivative of -3*c**2 + 4*c**2 - c - w*c**2 + 4*c**2 wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1335 (base 7) to base 14.\nAnswer: 28c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d1 + -8248?\nAnswer: -8167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1324, 1325, 1326, 1327, 1328?\n\"Answer: s + 1323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2077*j + 28071 = -129781 for j.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*k**2 + 128*k**2 + 121*k**2 - 494*k**2 + 121*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3158, -10122, -21728, -37976, -58866, -84398, -114572?\n\"Answer: -2321*y**2 - y - 836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 - 36*n - 27*n + 4*n.\nAnswer: 9*n**2 - 59*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 1. Let p be 12 - 5 - (-2)\/(-4)*0. Suppose 5*u = -2*u + p. Put -1, u, j in increasing order.\nAnswer: -1, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**8\/20160 + d**7\/5040 + d**6\/720 - d**5\/60 + d**2. Let f(b) be the third derivative of k(b). Let p = -1 + -1. What is f(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 22*b + 29. What is h(21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 6. Let n be ((-6)\/4)\/(39\/(-104)). Which is the closest to n? (a) -2 (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/28 - (-662)\/14 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 6:26 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*p + 1949889 + 2200855 = 18*p. What is the thousands digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25512461 is divided by 222.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 45 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41061216 and 10320.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19071 - -152501\/8. Find the common denominator of h and ((-62)\/(-8))\/(16\/(-6)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 6, 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*t - 36*t + 254*t - 27*t - 11*t**2 - 28*t.\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1171 + -9597?\nAnswer: -10768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -0 + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001026557 rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31191\/5 at least as big as 6238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 2, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g - 12. Let s be u(9). Let m be 2 - 3\/(6\/(-4)). Suppose 3*b - m*b = -3. Solve l = b, -s*d - 4*l = -d + 13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2883713604 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18910 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 203783351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1566)\/486*(-324)\/(-36)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 10*w**2 + 2*w + 2. Give f(-10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*z + 283*z - 151*z + o = 5, 3*o + 12 = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69485369.\nAnswer: 23, 859, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**2 + 143*k - 835. Let d(v) = 36*v**2 - 1296*v + 7516. Let h(r) = -3*d(r) - 28*g(r). Find c such that h(c) = 0.\nAnswer: 13, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -258 + 674. Which is smaller: 1244\/3 or j?\nAnswer: 1244\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-216)\/(-99) - 2) + 0.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 661 = -5*s - 2*t, -5*t - 346 = 5*s + 324. Let v = -124 - s. What is the highest common factor of v and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaq when three letters picked without replacement from aaquyqxauaxu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 8) to base 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 288501670?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -924, -964, -1060, -1236, -1516, -1924, -2484, -3220?\nAnswer: -4156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 1934627 + 2*a - 71316.\nAnswer: -a + 1863311","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -4 - -15) + (47 - -1 - 56)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -4 (c) 12 (d) 2 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30658, 30922, 31368, 32002, 32830, 33858?\nAnswer: 35092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -254, -273, -316, -395, -522, -709, -968, -1311?\nAnswer: -1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.936 + -109.864. Round y to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b + 2*b**2)*(-13 + 5 - 3*b + 3) + (-3*b**2 - 3*b**2 + 4*b**2)*(3*b + 5*b - 4*b).\nAnswer: -14*b**3 - 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = u - 2*u - 15, -j - 3*u + 20 = 0. Suppose -4*h + 2*c - 6 = -16, 2*c = -j*h + 17. Let f be h - (1 - (1 + -3)). Solve f = -y - y + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 107 - 103. Let y(z) = -15*z**3 - 5*z**2 + 5*z. Let k(x) = 7*x**3 + 2*x**2 - 2*x. Calculate m*y(d) + 10*k(d).\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022221300 (base 5) in base 10?\nAnswer: 2148325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -18, -1010, 1, -1464 in descending order.\nAnswer: 1, 0, -18, -1010, -1464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2844 and 3397.\nAnswer: 122292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 4:20 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**2 - 12*n - 3*n**2 - 4*n + 20*n - 4*n.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -70.056? (a) -4 (b) 2 (c) -0.14 (d) -1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -8*i**2 + i - 1. Let s be p(-2). Let r be (-11)\/5 + (-7)\/s. Let n(j) = -2*j**2 - j + 1. What is n(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -14*l - 49. Calculate b(-10).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 763*a**3 - 766*a**3 - a**2 + 9 + 2*a**2 + (-2*a**2 + 6*a**2 - 2*a**2)*(-5*a + 4*a + 2*a).\nAnswer: -a**3 + a**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5788576108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 2*n - 4*n)*(n - 2*n**2 - n) + (3*n**2 + n - n + (6*n**2 - 3*n**2 - n**2)*(-1 + 7 - 10))*(0 - 4*n + 0).\nAnswer: 26*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 40 = 3*r. Calculate the remainder when -8 + 30 - (0 + 0) is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 69.23376 millilitres?\nAnswer: 0.06923376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a + 1. Let y(f) = 2*f + 9. Calculate -3*x(g) - y(g).\nAnswer: 19*g - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -g - 12, -3*n - 2*n = 4*g + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32211 (base 4) in base 6?\nAnswer: 4153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3061 + 3064. Solve 2*m = n*u - 15 + 10, 5*m - u + 19 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 3*q - 23, -4*i = -19*q + 20*q - 21 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5708853.\nAnswer: 3, 23, 29, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**4 + 0*i**4 + i**4 - 5*i**4 + 2*i**4 - i**4 + (i**3 + i**3 + 0*i**3)*(2*i - 2*i + 3*i).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4 + (-2)\/(-8). Let z(v) = v**2 - 2*v - 5. Let x be z(t). Let u be ((-6)\/1)\/(x\/25). Calculate the greatest common divisor of u and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31542767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -14035 - -14065. Solve -r = -3*n + 20, 11*r + o = n + 6*r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14091431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1186, -0.2, 2\/11, -85?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2))\/(w**(-8)\/w))\/(((w*w\/(w*w*w**(1\/10)\/w*w))\/w*w)\/w**2) assuming w is positive.\nAnswer: w**(141\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 123 = -312. Suppose g + 17 = 4*v, i = 2*v + 2*g + 11. Let m = -4\/5 - -38\/35. Which is the fourth smallest value? (a) -9 (b) m (c) -0.5 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + w**2 + 5*w + 6. Let h be t(4). Let q(z) = h*z - 327*z + 110*z + 117*z. Let g(f) = -16*f**2. Determine g(q(n)).\nAnswer: -576*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 33.312 (b) 1\/6 (c) -823 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 633 divide 424743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-106)\/(-10) + 4 + (-108)\/30. Suppose v + 2*c - j = -0*c, -4*v - 16 = -4*c. Let q be 3 + (-12)\/4*v. Solve q = 5*x - 8 + 23 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-15) - 4\/((-560)\/244). Do 0.04 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1602902687 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 2*k**2 - 17*k - 55. Let j(g) = 3*g - 11. Calculate -8*j(b) + 5*u(b).\nAnswer: -4*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4356.0006198 - -4356. Round m to 5 decimal places.\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnuunununnnuznuu. What is prob of sequence um?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101001011 - -1010011011000000000?\nAnswer: 1010011100101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -4 (b) 1 (c) 3 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**5 - 45*w**4 + 634*w**2 - 170561*w.\nAnswer: 40*w**3 - 540*w**2 + 1268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a hour in minutes?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118952345.\nAnswer: 5, 29, 820361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332*n**2 + 8 - 6 - 356*n**2.\nAnswer: -24*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17619801, -17619806, -17619811, -17619816, -17619821, -17619826?\nAnswer: -17619831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 5.35, 0.2, -246\/35?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2 - p - 2*p - 1 + 7*p. Let i(a) = -a - 1. Let t(d) = -3*i(d) - j(d). Give t(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16326*b**2 - 2*b + 75397?\nAnswer: -32652*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 268\/35 - -1\/5. Find the common denominator of 13\/16 and d.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(7056)*4 - sqrt(7056) - sqrt(7056))\/(2*sqrt(567) + sqrt(567) + 1*sqrt(343)).\nAnswer: 36*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*y**3 - 3*y**3 - 505*y**3.\nAnswer: -395*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(21)*1 - sqrt(21)) + sqrt(21) - sqrt(21))*3 - sqrt(21))\/(sqrt(7) - sqrt(77)\/(sqrt(11) + sqrt(44)\/sqrt(4) + sqrt(11)))*-2)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1605*j - 2441*j + 250852 for j.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*j**2 + 138*j**2 - 3*j**2 - 36*j**2 - 72*j**2 - 2.\nAnswer: -4*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cchhcch. Give prob of picking 1 c and 1 h.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.66841 + -18.71681526. Let k = 0.0484 + h. What is k rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3682*k + 7 + 3679*k + 18)*(6 - 6 + 2*k).\nAnswer: -6*k**2 + 50*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-4 + (-8 - -10)) - (1 - 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -222882 + -14?\nAnswer: -222896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1015 + 1083 + (75 - 7)?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 + 51. Let g be t\/6 + ((-385)\/(-15))\/7. Determine v so that 31*v**3 + 25*v**3 - 52*v**g + 2*v**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 o, and 1 t when four letters picked without replacement from yyyyyootoyfoy.\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 820*g**2. Let a(b) = -27*b. Determine a(n(h)).\nAnswer: -22140*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -2*b - 2*j, -77 = -2*b - 0*b - j. Solve 5*d + b = -4*r, -5*d - 6*r - 40 = -r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -5\/2*a**2 + 0 - a**3 - 4*a. Calculate the remainder when y(-7) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32275 + 32267. Let a(n) = 3*n + 8. Let q(o) = -7*o - 17. Let f(x) = 5*a(x) + 2*q(x). Determine f(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1376, -4821, -10424, -18071, -27648, -39041, -52136, -66819?\n\"Answer: 19*r**3 - 1193*r**2 + r - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432 = -3*t - t. Calculate the greatest common divisor of 72 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 2:27 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445886 is divided by 148404.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4220 divided by -4.\nAnswer: -1055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 6*x - 6. Let a be p(-5). Let w(u) = 93*u**2 - u - 1. Let q be w(a). Suppose -5*k + q = -12. What is the remainder when 39 is divided by k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in -1\/3, 2\/11, -8, 0.2, -29\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33089, 66176, 99263, 132350?\nAnswer: 165437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625 + 1265 = 2*y + 4*z + 608, 2*y + 4*z + 5*z = 37 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26301093*k**3 + 7*k**2 - 552781*k - 2 wrt k?\nAnswer: 157806558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Let l = w + -2. Suppose 0 = 3*x - 3*a + 9, 3*a - 3 = -15*x + 16*x. What is the biggest value in -5\/4, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-32)\/(-14))\/(-8))\/(-1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 7189?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27002159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -202 and 30.\nAnswer: -6060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 6. Is (v + -2*1)*15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2 + s - 2. Let h be 168\/6*(-23)\/4. Let d = h - -159. Determine y(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -1663991?\nAnswer: 13311928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 60865911*t. Let i(q) = -2*q. What is i(n(f))?\nAnswer: -121731822*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -115 - 5 - (11 + -26 + (-32 - -25))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rllbdbbldbbldd. What is prob of sequence rbd?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 33*r - 6 - 643*r - 2 + 5 in the form q + c*r and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212696 divided by 22.\nAnswer: -9668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17, -34, -69, -128, -217?\n\"Answer: -v**3 - 3*v**2 - v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 2*m - 2*m)*(2*m**2 - 2*m**2 + 2*m**3) + (3*m + 0 - 5 + 7)*(1 - m**3 - 1).\nAnswer: m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - 22*z - 47. Let i be m(-8). Let v be 10\/21 + 2\/(-6). Which is the biggest value? (a) v (b) -0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 1 - (-127 - -118)) + -8 + -1\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (25\/(-10))\/((-1)\/2). Let a be (-210)\/(g\/(-4) + 1). Suppose -h - h = a. What is h rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14335 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 less than -5?\nAnswer: -5.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*d + 4*t, d - 1 = -t + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -368022 or 755?\nAnswer: -368022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 k when three letters picked without replacement from {k: 4, j: 1, z: 5}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - 2. Let v(l) = 2*l + 4. Let c be v(i). Let q = 7 - c. Solve r - 4*r = -q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**18)\/(s\/(s**(-13)\/s))*(s\/(s*s**22))\/s**(-2\/31) assuming s is positive.\nAnswer: s**(-556\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010 + 2021?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*h - 154 = 382, 4*m - h - 733 = 0. What is the remainder when m is divided by 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 2*k**2 - 7*k - 58. Calculate f(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-56)\/6)\/((-8)\/12). Let y be (-8)\/(-28) + 80\/x. Let z(f) = f + f**2 - 6 - 1 - 6*f. What is z(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 378 + -376.9. What is the second smallest value in -1, x, 12?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 94, -4 in increasing order.\nAnswer: -4, 2, 6, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5966 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2304, 4194, 6084, 7974, 9864?\nAnswer: 11754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 5:35 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 35*i + 183 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 2\/3, 24, 0, 3.216?\nAnswer: 3.216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 + 20*z - 53. Let h be s(12). Let j = -166 - h. Let v = -51 - j. Solve 11 = -5*q - v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -o, -x = 4*o - 6*o. Suppose 5*i + x*i = -25. Sort 3, -1, i in ascending order.\nAnswer: i, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.8 - 12. Let v = 1 + s. Let d be (-6)\/10 - 5*12\/150. Sort -1\/4, d, v in decreasing order.\nAnswer: v, -1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 9 + 1. Suppose -3*w + 0*w = -30. Let d(i) = -i + 14. Let u be d(w). What is the highest common factor of u and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/40)\/((-126)\/(-420))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.2, -2\/93, 8, -0.5 in ascending order.\nAnswer: -0.5, -0.2, -2\/93, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 7*r - 32. Let q be n(13). Let g be q\/(-7) + 40\/140. Suppose p = 7*p - g. What is the least common multiple of p and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a (base 16) in base 4?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-20))\/((-6)\/4)*-12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 832 - -18.802.\nAnswer: 850.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*b**3*r - 158*b**3 - b**2*r - 324*b**2 + 331*b*r - 8*b - 5*r + 105 wrt b?\nAnswer: 108*b*r - 948*b - 2*r - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -362 + 394. Suppose d*i - 2*i = 1560. Let f be (-39)\/2*112\/(-6). Calculate the greatest common divisor of i and f.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**3\/3 + 2710*y**2\/3 + 814156*y\/3 - 272288 = 0.\nAnswer: -254, 1, 1608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 7 - ((6 - 9) + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146888*v + 293346*v - 146713*v + 2 - 2.\nAnswer: -255*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 2870521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -1.1. Let v be -37 - (50 + -75) - (-124)\/10. Which is the nearest to 2\/43? (a) z (b) v (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8244\/14141 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 - 60. Let w(b) = b**2 + 4*b + 2. Let m be w(-4). Suppose m*l + 0 + 2 = h. Let z(v) = -v**2 - v + 3. Let y(a) = -1. Determine l*z(j) - 4*y(j).\nAnswer: j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1170\/5 - 1\/4. Let b = -235 + i. What is the common denominator of 9\/(3 - 0) + (-249)\/(-18) and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 + -27. What is the greatest common divisor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15101936 to the power of 1\/3, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, f: 1, e: 4, r: 3, b: 5, d: 2}. What is prob of sequence ddyf?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.59, -4\/3, -0.4, -5, -1, 638 in increasing order.\nAnswer: -5, -4\/3, -1, -0.4, 0.59, 638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -111*s + 6879. Let f be o(62). Let l = -14908\/4739 + 2\/677. Which is smaller: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1114*m**2 - 2*m - 51.\nAnswer: 2228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012072592 to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 21 = 5*s, 2*s - 16 = -5*l + 6*s. Suppose l*c = 116 + 12. Is c a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**6\/120 + b**5\/10 + b**4\/12 - 7*b**3\/6 - b**2. Calculate y(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 1. Let i be v(5). Let n = 8 + i. Find the first derivative of 5 + 0*m + m - n wrt m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11532*k + 2201*k**2 + 557*k**5 - 5768*k - 5766*k - 639*k**2 wrt k?\nAnswer: 33420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*y + 14. Suppose -3*c - y = -57. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3113 + 3632. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 41. Let u = w + -24. Let l = u + 11.0000023. What is l rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -82. Suppose -o = -14*j + 266. What is the highest common factor of 456 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12360130 to the nearest integer?\nAnswer: 3516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-4))\/(3\/(-4)). Let b(q) = -q + 2. Let y be b(-6). Let x be y\/(-12) - 8\/(-3). Is l at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1128 and 303.\nAnswer: 113928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*i**2*u**3 - 2*i**2*u - 2*i**2 + u**3 - 3*u**2 wrt u?\nAnswer: 90*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5373238 (base 11) to base 15\nAnswer: c694d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 249*b**2 - 60. Let d(m) = -2*m. Determine d(l(y)).\nAnswer: -498*y**2 + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*w - 3917 = 26*w - 4016 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + 2*g + 2*g**3 - g)*(-g**2 + g**2 - g**2) - 621*g**5 + 391*g**5 + 342*g**5.\nAnswer: 109*g**5 - g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*k + 171*k - 90*k + 14. Solve 4*u + 5*v = 7, 90*u - 4*v + k = 92*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + d + 150 = 3*r, -5*r + 3*d + 254 = 0. Suppose 0 = -2*b - 44 + 2. Let n = 34 + b. What is the remainder when r is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**1\/j*j*j**(-2\/5)*((j\/j**3)\/j)\/(((j\/(j**(-1\/3)*j)*j)\/j)\/j*j)*((j*j*(j*j*j\/j**1)\/j)\/j*j*j\/(j*j**(-2)))\/(j*j**0*j*j**(2\/19)) assuming j is positive.\nAnswer: j**(46\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x - 291 = 56*x + 39 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10\/11)\/z**(9\/5))\/(z*z**(-18\/11))**(-29) assuming z is positive.\nAnswer: z**(-1164\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1906.522 millennia to years.\nAnswer: 1906522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2820381781 to 4 decimal places.\nAnswer: -0.282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 60629 * -24080\nAnswer: -1459946320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -8 - 519*q - 492*q - 4*q**2 + 1003*q. Calculate o(-4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4460 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*h - 124*h = 126. Calculate the greatest common divisor of h and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 11*a**5\/10 - a**3\/3 + a**2\/2 + a. List the prime factors of p(1).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59380 = -3*u + 5*p, 7*p + 99012 = -5*u + 4*p. What are the prime factors of 6\/(-4)*u\/54?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k + 0*k + 4*k - 2*k to the form f + h*k and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(7\/5)*m\/(m*m**(2\/13)))\/((m*m**(-2\/11))\/(m*m**8)))**13 assuming m is positive.\nAnswer: m**(5454\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*y - 264*y = 5*p + 392, -263*p = 5*y - 132*p - 132*p - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -31031417.56 to the nearest 100000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154815, 154814, 154813, 154812, 154811, 154810?\nAnswer: 154809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(1900))**2.\nAnswer: 68400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-42))\/((-5 + -3)\/(-101 - -108)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/y**(-1\/2)))**(-1\/2)*(y**2)**12)**43 assuming y is positive.\nAnswer: y**(4257\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*m - 0*a - a, -2*m + 4*a - 26 = 0. What is the third biggest value in m, -0.12, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**2 - 145444*i. Let n(y) = -3*y. Give a(n(u)).\nAnswer: 36*u**2 + 436332*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -13 + 18 + 7 - 26.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*i - 193*i - 558 = 187*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + n**4 - 55110*n**2 + 4*n - 3*n**3 + 55091*n**2 to the form i*n**2 + h*n**3 + q*n + k + c*n**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26572606.2ms in weeks?\nAnswer: 0.0439361875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*h + 14 = 0, -3*p = -h - 2*h - 6. Suppose 0 = 3*s - p*m - 27, s + m + 17 = 3*s. What is the least common multiple of s and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62984, 251936, 566856, 1007744, 1574600, 2267424, 3086216?\nAnswer: 4030976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 265 = -5*h, -2*h - 2*y + 2 - 116 = 0. Let d = 1673 - h. 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: What is (3 - (2 + 2) - -3) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -244599.795 + 242309. Let u = 2299 + j. Let t = -0.005 + u. What is t rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 285*i + 185*i - 738*i to the form x*i + z and give x.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 646 - 941*o**2 - 646.\nAnswer: -941*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1246676 is divided by 61.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -35287 + 3493472\/99. Find the common denominator of -46\/7 and a.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 11:22 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2868242592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 28, -21, -108, -233?\n\"Answer: -19*u**2 + 8*u + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1409 and -47.552326?\nAnswer: 1456.552326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/11)\/d)\/(d**(-4\/7)\/d*d*d)*d**(-1\/10)*d**7\/d)**11 assuming d is positive.\nAnswer: d**(3513\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 24972?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 12*q**2 - 6*q - 20. Let p be o(4). Let y(l) = 12*l**2 - 460*l - l**3 + 147*l + 154*l + p*l - 1. What is y(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (759 - 582*h - 759)*(h**2 + 4*h**2 - 6*h**2) to m*h**2 + o + z*h + u*h**3 and give u.\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -14 - 1 - 63?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 20, -2, 5 in decreasing order.\nAnswer: 20, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 8*p + 1. Is d(9) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17999, -17954, -17909, -17864?\nAnswer: -17819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 63*a**2 + 145*a - 1951. Calculate the lowest common multiple of 8 and n(67).\nAnswer: 25720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afffaaf. What is prob of picking 2 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 106*w**2 + 7. Let n(v) = 71*v**2 + 5. What is 7*n(b) - 5*y(b)?\nAnswer: -33*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -229, -454, -679, -904, -1129?\n\"Answer: -225*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 6*r**2 + 9*r - 5. Let g be t(7). Let w be 64\/6 - 6\/g. Solve 0*j - w = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 - 65. Let o(u) = -2 - 8*u + 3*u - 3*u**2 + 2*u**2. Let t be o(f). Solve 0*k = -t*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 12*l + 35. Let o = -9 - l. Let i be 127 + -1 - (o - (0 + 0)). What is the highest common factor of i and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(425) + sqrt(425) + 1 + sqrt(425) - sqrt(425))**2 - (2*sqrt(425)*-6)**2) + 6*sqrt(68)\/(sqrt(28)\/sqrt(7)*-3).\nAnswer: -64602 - 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 1164025.\nAnswer: 2\/46561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -878*z = -153*z - 48575 for z.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7475 + 924\nAnswer: 8399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4544, 4759, 4974, 5189, 5404, 5619?\n\"Answer: 215*o + 4329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/60*-39)\/((-270)\/(-360))?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 42*k**2 - 1263*k - 1218.\nAnswer: 3*(k - 29)*(k + 1)*(k + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76147\/12 - 6336. What is the common denominator of (89\/890)\/(6\/250) and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1 = 10. Let k be (-30)\/((x\/2)\/(-1)). Let d be 6\/(-15) - (-2)\/k. Which is the closest to 0? (a) -2\/3 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120110101110 - 12?\nAnswer: 120110101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -89*n + 68 + 21. Sort -17, 5, n in increasing order.\nAnswer: -17, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1872 and 60?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 3*m + 2. Let h be k(0). Solve -5*g - 8 = h*u - 1, 3*g + 1 = -2*u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 16600 = 32*f. Solve f*v + 24 = 407*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57318106.\nAnswer: 2, 37, 101, 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**6\/120 + 7*t**5\/60 - 5*t**4\/24 - 4*t**3\/3 - t**2 + 41*t. Determine o(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-21) - 6\/(-35). What is the biggest value in -2\/17, -3, x?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfcm when four letters picked without replacement from fmmmfcmmfp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53)\/((-2)\/(-20) + 731\/(-510) + (-5)\/(-15)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/4 + 9*c\/2 + 81\/4.\nAnswer: -3*(c - 9)*(c + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 202 - 201.9566. What is n rounded to 3 dps?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74448)\/(-5076)*(-3)\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(275))*-6 + sqrt(275))**2*-2.\nAnswer: -13822 - 600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 97 + 0 - 89 - 2\/134*538?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + r**2 - 8. Suppose -4*c - 11 = 9. Let d be (-2)\/(-8)*2 + c\/10. Give n(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/143042?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30074*x**3 - 60150*x**3 + 30074*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from zuuuzuzuuuuuzu.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10123003 (base 4) to base 2.\nAnswer: 100011011000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 0*w + 0*w + 5*w + w - 4*w + (-3 + 0 + 5)*(4*w + 2*w - 5*w) + 1 - 1 + 2*w - 2*w + 0*w + 3*w + 19 - w - 13 - 11 to h*w + v and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 49, 66, 117, 220, 393?\n\"Answer: 3*p**3 - p**2 - p + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 + 18*q**2 - 54*q + 168. Is 151 a factor of v(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -n - 197, -2*l = 2*n - 0*n - 126. Calculate the remainder when l is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 707 - 148 = -9*t + 51*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 5*b**4 + b**3\/2 - 13*b**2. Let z(p) = -241*p - 7. Let a(u) = -5*x(u) - 2*z(u). List the prime factors of a(-1).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - h + 2. Let l be (8\/(-7))\/(-4)*7. Suppose -3*g = 2*w - 14, -2*w + 4*w - 4 = l*g. Let p be c(g). Solve -7*z = -p*z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4511879 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.41 * 0.07.\nAnswer: -0.3087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45716614 is divided by 639?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 10) to base 12.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16977?\nAnswer: 3, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/24 and (-874)\/60 - 9\/15.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 6*x + 10. Let m be n(7). Suppose -3*f - 2*f + 60 = 3*s, 2*f = 3*s + m. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135242, -135238, -135232, -135224, -135214, -135202, -135188?\nAnswer: -135172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-82)\/(-10))\/((-98)\/(-490)*7\/(-7)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 59*h**2 - 6*h - 346. Let r be b(-59). Solve l + 3 = 0, -13*u = -r*u + 2*l + 31 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.9, 1\/4, -1230?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 38\/5 (c) 0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 2*a + 2*a**2 + (a - 2*a + 0*a)*(-2 - a + 2) + 3*a**2 + a**2 - 3*a**2 + 5*a**2 + 0*a**2 - 3*a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*m - 37*m - 5*w = -3, 0 = 3*m + 5*w + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -0.1, -11, -11.8, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42357*i*w**3 + 1588*i*w + 7*w**2 wrt w.\nAnswer: 254142*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*l**4 - 2398564*l**3 + 11*l**2 - 43521*l + 9?\nAnswer: 168*l - 14391384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 10:42 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -0.3367.\nAnswer: 0.6633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*h*t*v**2 - 2*h*t*v - 257*h*v**2 - h*v - 19*h - 3*t - v wrt v.\nAnswer: -48*h*t - 514*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -1) + -6 + -2 + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -291981 or -291986?\nAnswer: -291981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -2)*(-16)\/8. Suppose 2*k - h*n = 32, -3*n + 2*n - 4 = 0. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -29*p**2 - 5*p. Let y(x) = 22*x - 2. Let w(n) = 54*n - 5. Let s(g) = 4*w(g) - 10*y(g). Calculate m(s(v)).\nAnswer: -464*v**2 + 20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151*-0.13.\nAnswer: 19.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 8:47 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**2 + 2*f. Let n(a) = a**2 - a. Let m(z) = -2*n(z) - r(z). Let t(c) be the third derivative of 4*c**5\/15 + 141*c**2. Determine m(t(o)).\nAnswer: 768*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, 64\/7, -2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 2*t - 4, -26*d + 27*d = -2*t + 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8144 divided by -4\nAnswer: -2036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n - 36. Is k(-26) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 13*q + 6. Let w be o(16). Suppose w - 14 = 5*y + 5*r, 0 = 2*r + 10. What is the derivative of 20*b - 20*b + y - 3*b**3 wrt b?\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115, 4, -70.\nAnswer: -115, -70, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 3) + 216\/60. Suppose -2*g + 5 = y + 3, 2 = y + 3*g. Let r be 0\/((-1)\/(y\/4)). Is o equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186227797 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -161*d + 141*d. Solve 0 = 2*b - 2*i - d, 3*i + 1 + 2 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3)**(2\/71))**(-50) assuming v is positive.\nAnswer: v**(-300\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cihhicihhhxhichzycz. Give prob of sequence zyz.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140240.\nAnswer: 2, 5, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1 - 1 + 2*d. Let y(p) = -93*p**2 + 28*p + 7. Let t(l) = -47*l**2 + 16*l + 4. Let v(w) = 7*t(w) - 4*y(w). Calculate h(v(x)).\nAnswer: 86*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 191 - 209 = 3*b, -3*o + 29*b + 30 = 26*b for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b - 30*b + 24 = 0. Suppose 2*z - b = 5*w, -4*w + 8*w + 24 = 4*z. Suppose -z*d = 7*d - 432. Calculate the greatest common factor of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 7:27 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1283905090568+-4.1\nAnswer: -1283905090572.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5 = -3*t + 3*u, 4*t = 5*u - 11. Suppose 2*b = -0*b - 6. Let d be (-26*t)\/(b - -1). What is the greatest common divisor of 104 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/80)\/((-6)\/8). Factor y*z**2 - 1\/6*z**3 + 0 + 0*z.\nAnswer: -z**2*(z - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -52 + 24 + -15?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -299423, -299386, -299323, -299234, -299119?\n\"Answer: 13*y**2 - 2*y - 299434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 24008987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5814096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 5*v - 1. Let j be (v*(7 - 3))\/1. Let u(f) = 2*f**3 - 2*f**2 - 4*f - 4. Let r(g) = -g**3 + g + 1. Give j*r(p) - u(p).\nAnswer: 2*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1557720 - -6?\nAnswer: 1557726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**5)\/(y\/y**(1\/11)*y*y*y*y*y))**(1\/21)*(((y*y**(-1\/3))\/y)\/(y**(-12)\/y))**19 assuming y is positive.\nAnswer: y**(55595\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*m = -38, 0 = -p + 4*p - 4*m - 134. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -961437*s - 11734301 wrt s?\nAnswer: -961437","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 3989*j**3\/3 - 2968*j + 2887. Find the first derivative of y(q) wrt q.\nAnswer: 7978*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 10. Suppose -a*u + 6 = 2. Suppose -l + 111 = u*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 + 2*l + 1. Let g be p(-1). Suppose 5*b + g = 2*b - 3*f, 41 = 4*b - 5*f. Find the common denominator of ((-202)\/b)\/(-1 + 4) and 31\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 7*f**2 - 8*f + 4. Let s be j(-8). Suppose -2*x + 5*x - 94 = -5*t, -s*x - 68 = -3*t. Let l = t - -17. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g. Suppose 11*l + 4 = -18. Determine i(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 15. Let n be d(15). Suppose n = -4*w + 3*x, 0*w - 2*x = 4*w. Let u be 0\/10 + w + -530. What is u rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 9 = -3*b - r, -1 = -5*b - 3*r. Let k = 701\/2220 + -27\/148. Put k, 0.18, b in ascending order.\nAnswer: k, 0.18, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 354 and 335651.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*f + 4, 0*s - 2*f = 3*s - 2. Suppose k - 1 = -s*k. Suppose 13 = n - k. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 972865?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*r**5 + 72*r**4 + 188*r**3 + 202*r**2 + 93*r + 14.\nAnswer: (r + 1)**3*(r + 7)*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**2 - 5 + 5.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**2\/3 + 96284888*x\/3 - 2317694914293136\/3 = 0.\nAnswer: 48142444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 98*(54\/33)\/(-2). Let x = v - -2923\/44. Calculate the common denominator of 755\/36 + 6\/(-27) and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -14*x**2 - 20*x - 11. Let g(y) = -5*y**2 - 7*y - 4. Suppose 2*a + 18 = -4*w, -4*a + 0*w = w + 43. Calculate a*g(u) + 4*b(u).\nAnswer: -u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -984, -3008, -5030, -7050, -9068, -11084?\nAnswer: -13098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -12520*t**3. Let z(n) = 117*n**3. Determine 3*h(d) + 320*z(d).\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 equal to -0.742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*d - 555 = 65*d. Which is the closest to -0.7? (a) 0 (b) 2\/9 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*36.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 55?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*a**4 - 417*a**3 - 2112*a**2 + 15483*a - 15210 = 0. What is a?\nAnswer: -26, -13, 5\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 706726843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1, -678086 in descending order.\nAnswer: 1, -8, -678086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 225028184?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 107, 125, 105, 35, -97?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-67)\/(-268))\/(2\/(-4)). What is the nearest to w in 5, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven eighths of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 594675\/90 + 5\/2 + (-2)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -3\/250844 bigger than -22.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 48*v**2 - 47*v + 67. Calculate the remainder when s(-47) is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -95*v + 11578. Give s(121).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-128)\/244) + (-12)\/(-3). Is u at least -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in nineteen quarters of a millennium?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2511.99053 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/15281458 or -1?\nAnswer: -1\/15281458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 32000 (base 8) to base 11\nAnswer: a002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - u - 24. Let b be p(6). Let i(r) = -6*r**2 + 41*r - 13. Suppose -2*l + 35 = -65. Calculate the remainder when l is divided by i(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/(-5))\/(((-96)\/(-3030))\/8). Let q = -481 + k. Does 26 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27 + -5aef?\nAnswer: -5b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-4 - -2) + 18 - 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -14942*5\/(-10) - (3 - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/13102386 and 106\/55275?\nAnswer: 327559650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -265680.3 to the nearest 100.\nAnswer: -265700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s + 1. Let g(i) be the first derivative of -15*i**2 - 6*i + 1. Let k(b) = -11*c(b) - 2*g(b). Let a = -4 - -3. Determine k(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 7*d + 4. Let u be o(-6). Suppose 7*k - 2*k = -u. Let w = k - -5. Solve -4*p - 25 = -5*p + 5*v, 15 = p - w*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8641 is divided by 95?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) 6 (c) 0 (d) -2\/1647 (e) -0.048\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 186733\/18 + -7*(-43)\/(-5418)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2557378 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116 - -170. Suppose -2*o - g - 149 = -a, -2 = -o. List the prime factors of a.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1224 - 1224. Is b > -1\/269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 14*a + 10. Let k be o(15). Sort -13, k, 4, -3.\nAnswer: -13, k, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + s - 3. Let k(g) = -39*g**2 + 7*g - 15. What is -4*c(l) + k(l)?\nAnswer: -43*l**2 + 3*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2430\/17 or 142?\nAnswer: 2430\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fksqcscrqc. Give prob of sequence qc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/9 - (-3644)\/36. Suppose 4*n = 3*t - n - d, -3*t + 85 = -n. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54548955 and -0.5.\nAnswer: -27274477.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 + 2 - 2)*(5 + 1 - 4) - 2*z**2 + 0*z**2 + z**2 + 2*z**2 - z**2 - 12*z**2 + (z**2 + 1 - 1)*(3 + 0 + 0).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -60297986, -60297994, -60298004, -60298016, -60298030, -60298046?\n\"Answer: -b**2 - 5*b - 60297980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(3\/(-15) - (-64)\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 4*a = -5 + 13, -24 = -4*n - 2*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -387 - -370 - (-79 + 5)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 30\/(-5) + 0. Let w be d\/2 + 4 + 6\/4. Solve 6*a - w*a = -4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79 times -865145\nAnswer: -68346455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**5 + 3936*p**4 - 171774*p**3 + 924708*p**2 - 1349823*p + 592956 = 0.\nAnswer: 1, 4, 39, 1267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -v + 6*v + 44, -3*v - 12 = 3*w. List the prime factors of (v + 228\/30)*-1890.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2. Let h(t) = 974*t**2 + 4*t + 965*t**2 - 1919*t**2. What is n(h(x))?\nAnswer: 400*x**4 + 160*x**3 + 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 124*s - 1632.\nAnswer: (s - 136)*(s + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 566 greater than 565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33898539*c**2*q**3 + 42571*c**2*q - 2*c**2 + 3*q**2 + 36*q wrt q?\nAnswer: -203391234*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/892220 and 30\/70103?\nAnswer: 9814420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.10052 and 3382.\nAnswer: 3381.89948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15515.\nAnswer: 5, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42\/(-5)*1*(-8 - -3). Let j be 82\/14 - (-6)\/v. What is the units digit of 1402\/j - (-4)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4835 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -8. Let p = g + 11. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-11)*m)\/m*m*m**(-1\/7)\/m)**(-27)\/((m*m**0\/m*m)\/(m**(-2\/21)\/m*m)*m**0\/(m*m**(-1\/2))) assuming m is positive.\nAnswer: m**(12611\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 311221113 (base 4) in base 11?\nAnswer: 1400aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0538419*0.2\nAnswer: -0.01076838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s. Let v be x(1). Let m = 34 + v. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighty-five sixths of a year?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/3)\/((3\/(-2))\/((-1467)\/(-652)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0258156338 and 17?\nAnswer: 16.9741843662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 11*d - 5. Let o be q(10). Suppose -2*c - 4377 = -o*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 519065373?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 13 + o - 13. Let v(h) = h**2 + 11*h + 2. Let f(t) = 6*d(t) - v(t). What is f(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1964603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h - 4. Let q be g(8). Let z be (-4)\/14 - q\/14. What is the second derivative of 19*j**4 + 4*j - j**3 - 22*j**z + j**3 wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2\/5 - 14488*x\/5 - 26237768\/5 = 0. Calculate x.\nAnswer: -3622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 16 = 5*w - 5*b, 0 = -3*w + 2*b + 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13849 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -373 + 681. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*q + 1345 + 1105. What is the remainder when q is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2987 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5048963, -10097930, -15146897, -20195864, -25244831?\nAnswer: -30293798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 smaller than -116\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 - -0.9. Let a = -0.2 - -0.4. Let g = a - 0.1. Sort f, -1, g in increasing order.\nAnswer: -1, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-106)\/(-6)*(2 + 1). Suppose 4*x + 1 = g. Suppose -3*c - 3*q + 51 = 0, -q = 3*c - 5*c + 19. Solve x = -5*s - c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - 37. Let x = j - -71. Suppose -x*k = -12*k + 81. Solve o - 9 = m + 5*o, 3*m + 3*o = -k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010011011111011 - 10000010?\nAnswer: -11010011101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -34. Let n(x) = -52*x. Let k be n(-1). Calculate the highest common factor of k and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -494.55547 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 h when three letters picked without replacement from hhheeehoheoeh.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/6)\/(-8))\/((-4)\/(-2))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 602*b**2 - 600*b**2 - 8*b**3 - 107*b**3 in the form s*b**3 + m*b**2 + x + y*b and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37512562?\nAnswer: 2, 1531, 12251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-492)\/(-30) - (-6)\/(-15). Solve -2*w = g - 5*g + 14, -2*g + 4*w = -y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 182*c**5 - 2*c**2 - 62*c + 2?\nAnswer: 3640*c**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -17*a**2 - a - 21. Let n(l) = 5*l**2 + 7. Let q(j) = 7*n(j) + 2*w(j). What is q(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*v = -20*v - 2*k + 30, v = 4*k - 24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 1. Let v(w) = -2*w + 6. Let h(f) = -6*i(f) - v(f). Let y(c) = 2*c + 6. Let z(p) = -1. Let q(m) = 2*y(m) + 12*z(m). What is 3*h(g) + 4*q(g)?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 875 - 872. Solve 0 = -4*l + a*v - 21 + 18, 4*v = l + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 66?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -493 - -506. What is the remainder when ((-8)\/3)\/((-2)\/27) is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e + -9?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 2)*(-10)\/1. List the prime factors of (18\/(-10))\/((-2)\/p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 + 3*6\/9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/17))\/(r**(2\/9)*r))\/(r\/(r\/r**(-2)))**(-10) assuming r is positive.\nAnswer: r**(-3076\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19486 is divided by 1771.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 + 30. Let m = i - -56. Calculate the remainder when m is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 12:00 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 150 = -3*d + 29, -5*d - 239 = -4*k. Calculate the remainder when 87 is divided by k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.6 and 74.7707.\nAnswer: 269.17452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3097081.073 - 1558.\nAnswer: 3095523.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 9914164 = 3*h - 2021528, 0 = -3*h + 3*z - 7892616. Let a be (22861754\/4)\/(4\/8). Let p = a + h. What is p rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdzoccc. What is prob of sequence zc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/31 (b) -0.5 (c) -3.83 (d) -279\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294 divided by 3.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) 0.3 (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1959 and 405021291.\nAnswer: 1959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t + 150*t - 27*t - 623430 = 0. What are the prime factors of t?\nAnswer: 3, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/12*3 + 2 + 9. Suppose s*v - 140 = 5*v. Suppose v*d + 6 = 30*d. Solve -d*o + 2 = -1, 4*o = 2*t + 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 119 + -48. Suppose 3*y = -5*n + 80, 4*n + 13 = 5*y - c. Let u be (135\/y)\/((-3)\/(-8)). Solve 5*z = -2*g + u, 0 = 2*g + 2*g - z + 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -39, -1, 0?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -436.076526 - 0.657864. Let v = p - -436.7. What is v rounded to three decimal places?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*w - 2 + 5 + 14*w + 10 - 75*w to the form g + b*w and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + 5. Calculate the highest common factor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-3) - ((-283)\/(-45) - (-2 + 10))\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*z**3 - 28*z + 14*z + 14*z.\nAnswer: -91*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 10 = -z, -39*z + 70*z - 20 = -5*p + 27*z + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-435)\/55 + (-48)\/(-6).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 - 4*l**2 - 3*l - 2. Let q be t(-2). Suppose 5*v - q = 3*v. Let i = v + 1. Solve -3*w + 0 = -i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1352 (base 8) to base 14.\nAnswer: 3b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112 - -112.00000149. What is y rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 140 or -2726?\nAnswer: -2726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/59)*i**7)\/(i**(7\/2)\/(i**1*i)))**(2\/19) assuming i is positive.\nAnswer: i**(645\/1121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28097968?\nAnswer: 2, 173, 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4820.\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1332 and 1042.\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 645 divided by 28.\nAnswer: 645\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -413, -414, -415?\n\"Answer: -z - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 37\/5 of a day?\nAnswer: 10656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26 + 2763?\nAnswer: 3011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 5:28 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, -7, -4, -2, -3 in ascending order.\nAnswer: -7, -5, -4, -3, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 12*w + 36. Let r be v(9). Let a = r - -2. Suppose 4*k - 2*b = 8, a = 2*k + 5*b - 5. Solve -3*t + k = -6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 883177312 from 30.\nAnswer: -883177282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14611 (base 10) to base 3.\nAnswer: 202001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**3 + 6446*x - 13*x**2 + 1 - 6446*x - 3 to q*x**2 + k*x + h*x**3 + g and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n + 27. Let k = 45 + -39. Let h be s(k). Which is the second biggest value? (a) h (b) 2\/5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3942474.\nAnswer: 2, 3, 657079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 - 7*f**2 + 21*f + 106. Let g be b(-4). What is the highest common divisor of 1178 and g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*l + 34 = 0, 2*s + 8*l - 88 = 7*l. What is the smallest common multiple of s and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.8 + 3. Let u = 0 - 0.1. Put u, h, -1 in ascending order.\nAnswer: -1, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 26*m**2 + 3211*m - 78314. Determine o(24).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 520*p**2 + 1372*p + 3065*p - 522*p**2 + 2 - 436*p to the form w*p + n*p**2 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10820 = 3*q - 7*o, 2*q + 5*o - 5452 - 1684 = 0. Does 92 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -34, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4234*f + 69. Let s(t) = -2117*t + 28. Determine 2*m(h) - 5*s(h).\nAnswer: 2117*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 475402 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 - h**2 - h**2 + (-2*h**2 + h - h)*(22 + 25 + 32).\nAnswer: -159*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (sqrt(130) + sqrt(130)*2)*5 + (sqrt(130)*2 + sqrt(130))*2)\/(sqrt(10) + (sqrt(10) + -2*sqrt(10))*-6 + sqrt(160)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 2\/7 (c) -34 (d) 2715.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11861819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 6. Let c be p(6). Suppose j - 3*j + 10 = c, 0 = -5*x + 3*j + 10. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 9*q = -8*q - 506, -4*w - 4*q + 1008 = 0. Suppose u = 3*g - w, 3*g = -u + 85 + 159. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017352 rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2\/11, -53, 1.2 in increasing order.\nAnswer: -53, -6, 2\/11, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -5445?\nAnswer: 5446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**5\/3 + 1247*p**4\/2 + 37843*p**3\/6 - 25275*p**2\/2 + 23137*p\/6 + 1850 = 0.\nAnswer: -925, -12, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 8. Let l(a) = 1. Let c = 5 - 4. Let d(z) = c*r(z) + 4*l(z). Differentiate d(w) with respect to w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*z + 1188 + 1189 - 2377.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**5)\/(h\/(h*h**(-6)))*(h*h**(-1)*h)\/h**(3\/4)*h**(-5\/2)\/(h**(-7)\/h)*h**(1\/3)*h**(-1) assuming h is positive.\nAnswer: h**(-59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 5) to base 8\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 2:43 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -18. Suppose -3*v + 5 = 2*v, x = 2*n - v. Solve y - 2*a - 20 = a, 0 = 4*y + 3*a - n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 697892.3 minutes to microseconds.\nAnswer: 41873538000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17\/10314 (b) -0.03 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = w - i, -2*w + 6*w = -5*i - 415. Let m = 96 + w. What is the closest to -0.1 in m, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from bttttrzrrt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 964549877 to the nearest integer?\nAnswer: 31057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 251*w**2 - 116*w**2 - 385 + 3*w**2 + 22*w**2 with respect to w.\nAnswer: 320*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 + 54. Solve -m*t + 24 = -5*y, -5*y - 2*t + 0 = 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 324, 337, 366, 417, 496, 609?\n\"Answer: g**3 + 2*g**2 + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + b)*((-34 - 10*b + 34)*(2*b**2 + 5*b**2 - 5*b**2) + (-b - 3 + 3)*(2*b - 2*b + 5*b**2) + b**2 - 3*b**3 - 6*b**2 + 4*b**3).\nAnswer: -24*b**4 - 5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139921025*k**6*t**3 + 3347301*k**2*t**3 + 7*k**2 wrt k?\nAnswer: -16790523000*k**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9823613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 26 = 46. Let f = 38 - 18. Suppose w - 6*w = -f. Solve w = q*k - 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -64 - (199 + -219)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 5)*(0*f + f + f)*(-39*f + 76*f - 71*f + (-1 + 0 + 3)*(f - 3*f + 4*f) + 4*f - f + f) in the form o + k*f**2 + s*f and give k.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaaaaavaaavaaaa. Give prob of picking 2 a.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1886.6 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 19\/159996?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111265 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -27*w + 13*w + 11*w - 9. What is c(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2025 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x + 13. Let r be o(8). Which is greater: r or -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2008 * 7\nAnswer: 14056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 842 - 2057 = -60*b + 23*b - 44*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzszzzzszzz. What is prob of picking 3 z?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0*m - 2*t - 30, -3 = 3*m + 3*t. Suppose 0 = m*n - 3*j + 2*j - 22, n = j + 7. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-3)*6\/(-5). What is the first derivative of -s*c + c - 4 - 4 + 6 wrt c?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-1 + (8 - 11) - -13 - 54).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.08 (b) 96.9 (c) -1 (d) -0.3 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4845.\nAnswer: 3, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 - 0.22.\nAnswer: -33.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134882?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009474 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6785263*a - 88208421. What is g(13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 10:33 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + (sqrt(120)\/sqrt(2) - sqrt(60)) - sqrt(60))*5)\/(sqrt(12) + sqrt(432)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.00241 and 10.62.\nAnswer: 53.1255942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 6) in base 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 7:20 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-4)\/6)*1480\/(-60). Let p = a - -39. What is the third derivative of -z**3 - 21*z**p + z**3 - 15*z**6 + 10*z**2 wrt z?\nAnswer: -1800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-6)\/l*l**4*l*(l**1)**47*((l*l*l*((l*l**10)\/l)\/l*l)\/l*l*l**5)**14 assuming l is positive.\nAnswer: l**297","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of u*w**3 - 9113184*u*w - 1387*w**3 + w**2 + 13*w - 17 wrt u?\nAnswer: w**3 - 9113184*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/(n\/n**(-7\/2)))**(5\/4)*n*n\/n**(1\/4)*((n\/n**(8\/11))\/n)\/n)**(1\/2) assuming n is positive.\nAnswer: n**(-163\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0577268 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihhh when four letters picked without replacement from {h: 7, i: 12}?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 12\/(4 + -1). Let k(g) = -9*g + 2. What are the prime factors of k(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 226, 374, 524, 676, 830, 986?\nAnswer: 1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t - 11 + 1. Let n(i) = i**2 - 7*i + 5. Let q be n(6). Is q greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182981 is divided by 51.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 324127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1183 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 6 + -25 - -16 - (0 + 9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -10 - (-16 + 45)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 869242358?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 6*o + 9*o - 16*o + 2*v, 3*v - 72 = 15*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(-4)\/(-60) + (-23)\/(-3). Suppose p = 4*i + o - 2, -3*i + 4*o = 2. What is the tens digit of 74*(5\/i + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-360)*-9*24\/(-396)*3.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 304 and 2283534?\nAnswer: 18268272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144795498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -112, -113, -114, -115?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from eevdedxhe?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 12*d**2 + 13*d + 32. What is the remainder when m(13) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.5281417 to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/100 - (-572)\/440. What is the nearest to 0.3 in 5, w, -1, 249?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/36*((0 - -2) + 1). Solve -5*t - q = -4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*70\/180*1\/(-7)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 8*u + 7. Let s(o) = 13*o - 163. Let q be s(12). Give r(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -359.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104572560 and 5520.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1079839.064 and -2.\nAnswer: -1079841.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 2*n + 5*n)*(-7 + 29 - 15).\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 9?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 8) + (15 - 11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/6, -4, 3, 5, -123, -68?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51414175 equal to 51414170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -713238997*z**3 - 24176897*z**2 - 12 wrt z?\nAnswer: -4279433982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -205 - -116. Let a = 91 + q. Determine b, given that -1\/5*b**3 + 1\/5*b**a - 1\/5*b**4 + 1\/5*b + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/(-15)*28\/20?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12*(-1)\/(0 - 2). Calculate the remainder when 21 is divided by 4\/s + 44\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine fifths of a microgram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1032*14.95\nAnswer: -15428.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -58494, 4, 1.\nAnswer: -58494, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -254*p - 1425. Determine r(-6).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - l = -5*l - 16, -2*l = 10. Let c be (r\/6)\/(8\/72). Let k(i) = -1 - 1 + c - i**3 + 3*i. What is k(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 2599*u**3\/3 - 973*u + 2519. Differentiate w(k) wrt k.\nAnswer: 5198*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11319 and 2303?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324) - (sqrt(324) + sqrt(324)*-1))\/sqrt(9))\/sqrt(12).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 276321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h + 32*h + 24 = 0. Let f be (-7)\/(-3) - 2\/h. Let a(t) = 53*t + 5. What is the tens digit of a(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2\/17, 13, 4.89, 4, 1\/4, 14?\nAnswer: 4.89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 338 - 49. Let f = -268 + j. Let v = 3 - 2. Solve f = 4*x + v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 6*s + 15. Let d be h(-9). What is the remainder when 7 is divided by 20 + d - 3*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3826226*v**4 - v**2 + 839567*v + 3?\nAnswer: 91829424*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4257 + 4257.03. Which is the biggest value? (a) j (b) 2.6 (c) -0.3 (d) -3 (e) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l - l + 8*l + (7 + 14 - 7)*(2*l - l + l) - 1 + 1 + 3*l to the form y + o*l and give o.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 + 20.03. Let a = x + -16. What is the biggest value in a, -3, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -19)*-6*14\/392.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -11*o + 8. Let i(b) = -b**2 - 7*b + 1. Let j be i(-5). Let l = j - 19. Let q be -3*(-3 + 4 - 2). Let f(r) = -4*r + 3. What is l*f(v) + q*y(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 60, 79, 84, 69, 28, -45, -156?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiuuiucuo. Give prob of picking 1 c, 1 o, and 1 i.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -3*r + 0*r**3 + r**3 - 2*r**2 + 2*r**2 - 3. Differentiate j(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1876 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 868.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 2:03 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -1 + 2 + 3 - (sqrt(39)\/sqrt(3)*-4 + 0 + sqrt(1573) + sqrt(1573)))**2.\nAnswer: -136*sqrt(13) + 3773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**2 + 1. Let p(x) = -19*x**2 + 7. Suppose 121 = 4*y - 4*g - 27, -4*y + 138 = g. Let k(i) = y*m(i) - 5*p(i). Let t(q) = 8*q. Calculate t(k(z)).\nAnswer: -80*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 217271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-31) - 8864\/(-992). Solve -3*v + 10 = -4*z, -v + 3*z = 2*v - y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 28*v - 29*v - 9, 5*z - 7 = -v. Let -1\/8 + 1\/8*i + 1\/4*i**z = 0. Calculate i.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/14 + (-1)\/(-1) and 2 + (-68)\/28 - (-3396)\/280?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 3*i + 6. Let f(h) = 5*h - 62. What is the remainder when f(18) is divided by l(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 0.2 (c) -0.429 (d) 1\/3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 5*i - 29, 10*q = 6*q - i + 40 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 113871749.921 and 0.4?\nAnswer: 113871749.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.5 + -2.39. Let o = w - -0.13. Let s = o - -0.16. Round s to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/6 + (520\/(-16))\/13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-20))\/(2\/36). Let m(y) = -y + 11. Let a(o) = -5. What is b*a(d) + 4*m(d)?\nAnswer: -4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/3 + 7540*r\/3 + 1410624.\nAnswer: -2*(r - 4266)*(r + 496)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18555\/8 + 2326. Find the common denominator of 4\/(-80)*2 + 28\/20 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1. Let k(s) = -12*s - 8. Let i be -2 + 2 + 3 + -2. Let h(q) = i*k(q) + 4*v(q). What is the units digit of h(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(2)*6)\/(sqrt(36)\/sqrt(24)).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -206. Suppose -4*k + 389 - w = 0. What is the lowest common multiple of k and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228532 and 5270372.\nAnswer: 2356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h + 6*h + 6*h + h + 2 - 30*h + 6*h.\nAnswer: -6*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 23 - 35 + 3 + 7 - 9*a**3. Let t(k) = -9*k**3 - 3. Give -2*t(x) + 3*w(x).\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -3. Suppose k*d = 12 - 2. Let t = d + 23. What is the greatest common factor of t and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = -5*m, s + 1156 = -5*m + 1180. Solve 35*d = -84 + s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(0 - -1) + -1. Let g(x) = 8*x**2 - 1. Determine g(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/7 + 754\/(-182)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-6) - 0) + (-129)\/72. Let z = -4 + 3. Which is greater: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1600 and 700160.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**9\/504 - s**8\/420 - s**7\/140 + s**6\/90 + 2*s**3 + 7. Let i(y) be the third derivative of h(y). Solve i(r) = 0 for r.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w + 2. Let m be (3\/(-9) + 6\/(-9))\/w. Let h = -2.5 - -2. Which is smaller: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-8\/5)\/s*s**11*((s\/s**(5\/2))\/s)\/(s\/s**(-19)) assuming s is positive.\nAnswer: s**(-141\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 38*c**3 - 2*c**2 + c. What is d(1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 1774*s + 12357. Calculate z(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r + 1. Let x be y(5). What is the second derivative of -x*w**3 - 3*w**4 + 16*w**3 - 3*w wrt w?\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2220267*x = 2220225*x - 630 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18b (base 15) to base 13\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**3 - 31360*m**2 - 6941228*m + 6972592 = 0. Calculate m.\nAnswer: -7612, -229, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14a726 + -4?\nAnswer: 14a722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6839 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11120220 - -10022?\nAnswer: 11201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*p**4 + 14*p**3 - 20*p**2 - 18*p.\nAnswer: 2*p*(p + 1)**2*(8*p - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3.1. Let b = 20.1 + -21. Let i = b + -0.1. Sort -0.4, t, i.\nAnswer: i, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -1. Suppose q - 3*q + 74 = -5*v, -r*q + 3*v = -166. Let l = -11 + q. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipqppqqq. Give prob of picking 2 p.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 43 + 47 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 11*m + 29. Let i be k(-13). Suppose -i*s - 4 = -0*f - 2*f, -3*f = 5*s - 25. Solve -f = 5*x - 4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (917*q - 98*q**2 - 917*q)*(2*q + 6*q - 4*q)*(2 - 1 - 3).\nAnswer: 784*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/846 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 45, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.12 (b) 0.4 (c) -969 (d) 2\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 4:15 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 9*x - 6. Let j(y) = 4*y**2 + 19*y - 13. Let c(u) = -6*j(u) + 13*r(u). What is the remainder when c(-5) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d98b2 (base 15) in base 9?\nAnswer: 1262125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0*i)**33\/((i\/(i*i**(-3\/5)))\/i**1))**(4\/15) assuming i is positive.\nAnswer: i**(668\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19592 (base 15) to base 7.\nAnswer: 461555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**1)**(-2))**(-1\/15) assuming v is positive.\nAnswer: v**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 2*j + 5. Let v be h(-2). Solve -v*w - 25 = r - 6, 4*r - 24 = 5*w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 95900 - 550*z - 95900 + (0 + 4 - 2)*(-4*z - 11 + 11) - 3*z - z + 2*z as a + l*z and give l.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -42. Let c be h*(-2)\/14 - (-209)\/266. What is the biggest value in 2\/9, -4, -0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 4ab?\nAnswer: 4aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (9\/5)\/1*14\/(-42)*12070\/(-408)\nAnswer: 71\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11748.36 - -0.1.\nAnswer: 11748.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19328*a - 2*x + 17 = -19327*a + 48, -6*a + x + 22 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1060*s**2 - 1. Let u(f) = 9989*f**2. Give y(u(o)).\nAnswer: 105766928260*o**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -22836.1784 rounded to the nearest 100?\nAnswer: -22800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -120*z**2 + 519*z - 316*z**2 - 174*z**2 + 20*z**2 wrt z.\nAnswer: -1180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 12*l**2 - 114*l - 3. Let s(v) = 2*v**2 - 8*v. What is -k(r) + 4*s(r)?\nAnswer: -4*r**2 + 82*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from {a: 2, o: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1\/2*u**3 + 1\/8*u**4 + 0*u + 0*u**2 = 0. What is u?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5993 and -0.2279.\nAnswer: 0.36448047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(605) + -1)**2 + 1 + 0 + sqrt(605) + -2)*4*-3.\nAnswer: -7200 + 132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/9096303?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 159, 195, 231, 267?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (-52)\/(-44) - 6. Put -4, 1\/7, q in descending order.\nAnswer: q, 1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45660*c**2 - 10*c**3 + 45660*c**2.\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 5) + 1 - (1 + 4 + -5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 438 - 374?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -605, -0.9, -0.031, 0.06, 0.3 in descending order.\nAnswer: 0.3, 0.06, -0.031, -0.9, -605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 147 - 123 = 0. What is the remainder when 95 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3)*102\/136?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-12)*36\/(-450))\/(6\/28).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 445499293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*g**2\/7 - 128*g + 61290\/7.\nAnswer: -2*(g + 135)*(5*g - 227)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 296912 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -12*i**2 - 560*i + 352. Let s(b) = -b. What is c(s(f))?\nAnswer: -12*f**2 + 560*f + 352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -25*z**2 + 9*z. Suppose 0 = 2*n + 14 + 4. Suppose -19*f = -21*f - 4. Let p(d) = 6*d**2 - 2*d. Calculate f*h(g) + n*p(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**5\/60 + t**4\/24 - 3*t**3\/2 - 2*t**2. Let a be h(7). Suppose 3*f - 8*f + 50 = -w, -2*f + a = 5*w. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -7, 1, 71, 161 in decreasing order.\nAnswer: 161, 71, 2, 1, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 - 35*y - 136. Let z be c(-6). Sort 3, -7, 6, z in decreasing order.\nAnswer: 6, 3, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/22 + (-27)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1200 = -3*h. Let t be (-1316)\/(-47) - (12 + 1). Differentiate -h*j + t + 240*j + 25*j**2 wrt j.\nAnswer: 50*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168863260 rounded to the nearest one hundred thousand?\nAnswer: -168900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*y = d - 210, 2*d + 5*y - 53 = 0. Let k = d - 39. Suppose k = 3*l - 287 - 1084. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-15) + -1*(-16)\/4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129742 is divided by 136.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1417, 1401, 1375, 1339, 1293, 1237?\nAnswer: 1171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 2:04 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000026507 to six dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - -1 - (0 + -7). Suppose 4*o = -5*a + 448, a + 2*o - 92 = -0*o. What is the greatest common factor of a and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8119 + -4424. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -98, -83, -62, -35, -2?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -35. What is the common denominator of 33\/8 - (-2 + (-4)\/y) and -143\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 969?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 191 and 0.07.\nAnswer: 191.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4967 * -0.1.\nAnswer: 496.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**3 + 89935284*a**2 + 269805880*a + 179870592 = 0.\nAnswer: -2, -1, 22483824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p + 31 - 46 = -24 - 119 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33\/149 - 197\/2235. Let h(b) be the second derivative of -12*b + r*b**3 - 1\/30*b**4 + 3\/5*b**2 + 0. Factor h(a).\nAnswer: -2*(a - 3)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7)\/g*g\/(g\/(g**5*g)))**(-8\/17)*((g\/(g*g\/(g*(g**0*g)\/g*g))*g*g)\/g)\/(g**6\/g)*(g**1*g)**(2\/31) assuming g is positive.\nAnswer: g**(-19767\/3689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14*(-48)\/(-448))\/(-15*4\/16).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 97407 and 292221.\nAnswer: 292221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1458) + -2*sqrt(1458))\/(sqrt(36)\/(sqrt(18)\/sqrt(3))).\nAnswer: -9*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 8, -25883 in descending order.\nAnswer: 8, 1, -5, -25883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/4*4 - 32\/((-1824)\/171)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3432012124 (base 5) in base 6?\nAnswer: -432442302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55999*-0.5.\nAnswer: 27999.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(675) + (sqrt(675) - (3 + sqrt(675) + (sqrt(675) - (-1 + sqrt(675))))))**2 + 1.\nAnswer: -120*sqrt(3) + 692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -14 - 1*(-3 + 2). Let p = g + 8. Let u = -3 + 8. Sort u, 0, p.\nAnswer: p, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 4. Suppose 4*q + 23 = 5*t, -t = -j*q + 4*q - 19. What is the remainder when t is divided by 24\/3*1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 94284?\nAnswer: 659988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r**(-1\/3))\/r*r*r*r)\/(r*r*r\/(r*r*r**(-7\/5))*r*r))**3 assuming r is positive.\nAnswer: r**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -24*w - 202. Let g be t(-8). What is the closest to 1 in -0.4, -2, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85853.\nAnswer: 85853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056749 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x - 2. Let i(v) = -7*v - 6. Let t(c) = -3*c - 3. Let g(y) = 3*i(y) - 5*t(y). What is -3*b(u) + 2*g(u)?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -518 - 10. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4352 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 373276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-28)\/6)\/((-6)\/9) - 2. Suppose 0 = 5*c - 3*c - 18. Suppose -4*x = -7 - c. Solve -3*o - x*h + 2 = -o, -h + m = 5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-84 + (-1480550)\/(-17625)).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 16*k**2 - k**3 + 2*k**3 + 24 - 2*k**3 + 2 - 16*k. Let p be d(15). Find the third derivative of -20*w**4 - 14*w**2 - p*w + 11*w + w**4 wrt w.\nAnswer: -456*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 < 204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5807*o + 47. Let k(i) = -i - 4. Let a(u) = h(u) + k(u). Is a(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -13 - 6 - 0) + 6 - 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(288) + sqrt(2) + 1 + sqrt(162))**2.\nAnswer: -9252 - 272*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34843\/17 + 2049. Let s(h) = -h**2 + 6*h - 1. Let k be s(6). Is m at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t. Let m(u) = -7*u. Let p be ((-12)\/16)\/((-1)\/(-8)). Let c(o) = p*m(o) - 7*q(o). Suppose -5*s = -5*b - 5, 0 = b + 2*b - s + 3. Calculate c(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 164*x + 24. Let k be h(6). Suppose 1011*f - 3441 = k*f. Is 64 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/366, 0.2, 19?\nAnswer: 1\/366","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29120 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/6*108\/(-72). Calculate the remainder when 129 is divided by (-22)\/((f - -6) + 14\/(-3)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3167\/690 - 22\/23. Find the common denominator of ((-290)\/108)\/((-3)\/9) and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (7 - (-3 - -7 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 - 3 = -g, 3*g + 4*n = 21. Suppose -5*k = -2*h + 24 + 12, h = g. Calculate the remainder when (k + -1)*60\/(-14) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 41 + 20 = 0. Let h = s - -155. Let l = h - 152. Calculate the greatest common factor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19913a5 + -1?\nAnswer: 19913a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c + 5*c + 18*c = -2*j - 4, j - 2 = -7*c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 - 20*y**3 - 286*y**2 + 2904*y.\nAnswer: 2*y*(y - 11)**2*(y + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385, 408, 433, 460, 489, 520, 553?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 276 - 269. What is the smallest value in l, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l. Let q(f) = 6*f**2 + 0*f**2 - 5*f**2 - 1. Let h(a) = -2*a**2 + 1. Let k(m) = -h(m) - q(m). What is k(p(y))?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -568*x + 127. Is k(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100332 - 21030?\nAnswer: 13302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-33))**(-7\/10) assuming q is positive.\nAnswer: q**(231\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000409586 rounded to seven decimal places?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + 0*i**2 + 2*i**2 + (-2*i + 3*i - 2*i)*(i + 0*i + i) - 11*i - i**2 + 11*i.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112805, -225616, -338439, -451280, -564145, -677040, -789971?\nAnswer: -902944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 717822 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(171) + (sqrt(171) - (sqrt(171)*2 + sqrt(171))))\/sqrt(9) - (-2 + sqrt(19)*2 + sqrt(19)))*3)*-6.\nAnswer: -36 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2693212 divided by -673303?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 12*f**2 - 111*f - 365. Give b(9).\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10347, -40205, -87929, -151851, -230303, -321617, -424125, -536159?\n\"Answer: 278*z**3 - 10601*z**2 - z - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 2:20 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 190\/14 + (-8)\/14. Calculate the highest common factor of j and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 5\/2*d**4 + 12 + 5*d + 0*d**2 + 0*d**3. Find the first derivative of k(q) wrt q.\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d = 358 - 1832. Is 77 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/210 and (-36)\/(-60) - 926\/2310?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84029446 and 3890?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 83424*g - 1168328.\nAnswer: 2*(g - 14)*(g + 41726)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -2, -1, -5, -651 in descending order.\nAnswer: 12, -1, -2, -5, -651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98515 and 28645.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 9*b - 9. What is the units digit of v(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**7\/1680 - l**6\/960 - l**5\/240 + 3*l**2\/2 - 10. Let p(s) be the second derivative of y(s). Solve p(n) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -1\/8 (c) -0.3 (d) 49 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-21)\/14 - 15299. Let o = c + 21651. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 3686989*s**2 + 66366045*s - 298647567.\nAnswer: -(s - 9)**2*(s + 3687007)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + d + 2. Calculate the least common multiple of x(-4) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 2\/3, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/60881700 and 113\/26400.\nAnswer: 487053600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 111 = -9. Let a = 39 - c. What is the remainder when a is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5665 is divided by 1249?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 times -27.3?\nAnswer: -5.733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i**3*q + 990*i**3 + 698*q**4 wrt q?\nAnswer: i**3 + 2792*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122100221111 + -1?\nAnswer: -122100221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.1 + 0.9. Let r = 0.3 + -2.3. Let j = w - r. Which is the closest to -1\/3? (a) -5 (b) 2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 388 (base 10) to base 9\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*v + 4. Let l = v + 2. Let h be (l - -900)*(-3 - 197). Round h to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 6209*l - 6213*l - 6223*l + 3 + 18644*l - 2.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**8\/112 - o**5\/20 + o**2 - o. Let s(m) be the first derivative of q(m). Find the third derivative of s(p) wrt p.\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6564 + -6746. Put 2, 6, h, 5, 0 in ascending order.\nAnswer: h, 0, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1840820 divided by -368164\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 4. Let w be k(-4). Let d be (-6)\/(-4 - (-8 + 7)). Suppose 14 = 2*g + t, d*g - 12 = g - 3*t. Solve 6 = -2*o - u, 6*u - u + g = -w*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3204 + 1856 + 1625)*(-23*d - 11*d + 25*d - 1) as t + p*d and give t.\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-177)\/(-21) - (-11)\/(2002\/14846).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 - (5\/(25\/(-535)))\/(6\/234).\nAnswer: 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24485241 is divided by 123.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2*w**6)\/(w\/(w\/(w*w**(-2\/19)))*w*w*w*w**(-2)))\/((((w**0\/w)\/w)\/w*w**3)\/((w*w*w**3*w*w)\/w**(-2\/9))) assuming w is positive.\nAnswer: w**(2279\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.13 and -85.\nAnswer: -84.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3188 + 3187. Is 16\/129 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 42 = -2*i, 4*p = -i + 15 - 3. Suppose 0 = -i*j + 19*j + 75. Suppose d - j = 15. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282*s = -5*y + 284*s + 370, 5*s = 2*y - 148. What is the remainder when 108 is divided by y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 t when four letters picked without replacement from lhtayatahaahtttca.\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/535 and 209\/208320.\nAnswer: 22290240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16 - (1 + 1\/1). Let a = -5 - -8. Suppose q + m = a*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((4 - 0) + -3). Suppose 2 = -4*i - 3*p + w, 0 = 4*i - 3*p + 7. Let n be 19\/(-21) + 2\/6. Is n != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 10:50 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 = -2*h - 197. Let l(t) = 441*t**3 - 2*t**2 - t + 1. Let a be l(2). What are the prime factors of a\/h + (-1)\/(-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and 310844101.\nAnswer: 310844107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 632*0.046.\nAnswer: 29.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**21\/t**(-3\/17))**(-21\/2) assuming t is positive.\nAnswer: t**(-3780\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15270 times 1\nAnswer: 15270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 107 - 27*w - 29*w**2 + 9*w**2 + 10*w**2 + 7*w**2 = 0. What is w?\nAnswer: -13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*s - 92 = 0, 0 = -5*a + 2*s + 45 + 179. Suppose -2*v + 0*v = -a. Calculate the highest common factor of v and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 115*r**2 - 166*r. Let q(m) = -231*m**2 + 335*m. Let k(w) = 13*j(w) + 6*q(w). What is the second derivative of k(c) wrt c?\nAnswer: 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 3 + 3*m - 2*m)*(-13*m - 2 + 2) in the form a*m + y + w*m**2 and give a.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*t - 2067 = -3*t, -t = 2*l + 1377. Let m = l - -696. Solve -17 = -2*i + 3*d, -i + 26 = d - m*d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 83127\nAnswer: 3325.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 4, -1.\nAnswer: -7, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7218621448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**6 + 63118815*b**4 + 192065721*b**2?\nAnswer: 480*b**3 + 1514851560*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/(a*a**(1\/7)\/a)))**(-8\/3))**40 assuming a is positive.\nAnswer: a**(640\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8088746 centuries to millennia.\nAnswer: 0.08088746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 10:26 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 75977*s + 5092. Is r(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 775 + -764. Let o(x) = x**2 + 2*x - 26. Let k be o(0). Let d = k - -30. Solve 4*v - 4 = -3*s - 3, -s + y = -d*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-3\/5))\/g)\/g*(g*g*g**(-8\/7)*g*g)\/g assuming g is positive.\nAnswer: g**(51\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**8\/84 + 2*l**7\/15 + 5*l**6\/6 - 67*l**5\/15 + 6*l**4 - 1894*l**2. Determine i so that t(i) = 0.\nAnswer: -4, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 445735.9g to milligrams.\nAnswer: 445735900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16221 + -16145. Calculate the highest common factor of z and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1449 - -2329. What are the prime factors of q?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7599 and 596?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28802.001, -1\/2, 3 in decreasing order.\nAnswer: 3, -1\/2, -28802.001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-28))\/((-14)\/(-112))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.3 + 3.7. Let f be (-3)\/(-2)*(-4)\/12. Put a, f, -2 in increasing order.\nAnswer: -2, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*r**2 + 7*r - 7*r - 1013 - 97*r**2.\nAnswer: -162*r**2 - 1013","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -3\/4*c**4 + 0*c + 1\/336*c**8 + 0*c**7 - 28*c**2 + 0*c**6 + 0 + 0*c**5 + 0*c**3. Find the second derivative of r(a) wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 36379661?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*q + 15 = p, -2*p + 6 = 5*q. Find h such that 1\/5*h**2 - 1\/5*h**p - 1\/5 + 1\/5*h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220962?\nAnswer: 2, 3, 7, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0469, -0.1, 0.4 in decreasing order.\nAnswer: 0.4, 0.0469, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 79877481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 9 - 7*m**2 + 3*m + 0*m + 6 + 3 as g*m + f*m**2 + r and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30804 and 47112.\nAnswer: 800904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - 2*a + (-4 + 4 + 2)*(-1 + 1 + a - 3*a + 18*a + 50*a + (a - 2*a + 0*a)*(1 + 3 - 6)) to s + k*a and give k.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 874?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 152 = -2*d, p - 29 = 2*d + 27. Let z be 9\/3 - p\/18. What is the nearest to 0.04 in z, -3, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 385 and 175.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-2 - (-1 - -3)). Let q = 4 + -4. What is the second smallest value in -2, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/198 and 81\/154.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + 0 - (-16 + 15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -2, -807, 2\/97?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101521143 (base 6) to base 3.\nAnswer: 10022211021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 38384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t - 40 + 38 - t)*(-3*t**3 + 3*t**3 - 2*t**3).\nAnswer: -14*t**4 + 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*c - 3*c + 230, -5*t + 5*c + 385 = 0. Let o = t - 45. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/12)\/(15\/(-35)*2)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/9)\/(3\/9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -32*j**3 - 1. Let b be u(-1). Let z = b + -31. Suppose z = -h - 3*h + 8. Solve 2*y + 6 = -h*x + 18, 2*x - 4*y = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -8, 1283, 1, 255 in descending order.\nAnswer: 1283, 255, 1, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 0.01, 0.2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010111 (base 2) to base 13.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + p + 2062, 3*p - 10 = -3*w + 3083. Does 46 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-10)*(-7890)\/255636*-1*3*1.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.11 to 0 dps.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*p**2 + 0 - 325*p**3 + 0 + 858*p**2 wrt p?\nAnswer: -1950","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/45 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 8, -1.23, 7, -4, 0.05, -1\/2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22144 - 3?\nAnswer: -22202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8774 or -12802?\nAnswer: -8774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 399 - -1312. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r**3 + 3*r - 3. Let g be f(1). Let a(k) = -30*k**2 + 35*k - 35. Let t(d) = 5*d**2 - 6*d + 6. Calculate g*a(m) - 35*t(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 10:12 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q + 580 - 3646 = 0. Let j = -153 + q. Let n(k) = -k**3 - 8*k**2 - 6*k + 10. Calculate n(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 - 43. Let w(a) be the first derivative of -1 + 3\/4*a**4 - 1\/5*a**5 + 1\/2*a**t + 0*a - a**3. Factor w(b).\nAnswer: -b*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -115. Suppose 6*t - l = 73. What is the smallest common multiple of 20 and t?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**5\/20 - 5*n**4\/12 - 7*n**3\/3 + 43*n**2\/2 - 12*n. Let u be v(6). Which is the nearest to -15? (a) -5\/3 (b) u (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*s + 11 = 0, 3*s - 3 = -5*m + 6. Suppose t - 86 + 21 = -2*k, 0 = m*k + 5*t - 87. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 37271 = 42529. What is s rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2508, 10006, 22502, 39996, 62488, 89978?\nAnswer: 122466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26267*t**5 - 37360*t**2?\nAnswer: -1576020*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 79343.54 centuries?\nAnswer: 7934354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 - f**2 - 2*f - 1. Let g be o(-1). Let q = 65 + -70. What is the closest to 6 in q, -0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-2637)\/(-6) + (-44)\/(-88)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -341917\/1246 + 3849\/14. Find the common denominator of g and -17\/79.\nAnswer: 7031","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 20*j + 160. Is h(28) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2 = -26. Suppose 5 = -3*z + m*z. Suppose z = 4*k - 3. Which is smaller: 0.1 or k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1810725.84ns?\nAnswer: 0.000000002993925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109 + 104.1. Let r = 5.8 - 0.8. Let f = i + r. Which is the closest to f? (a) -4 (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -379, -1\/2, 5\/3, -0.4 in ascending order.\nAnswer: -379, -1\/2, -0.4, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 13*i**2 + 5*i - 56. What is l(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -108, -2, 4\/3 in descending order.\nAnswer: 4\/3, -2, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5171 (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921254313?\nAnswer: 3, 7, 79, 555307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*n = 17, -3*h + 4*n + 28 - 10 = 0. Suppose 2*p - 27 = -5*x, 3*p = 3*x - h*x + 49. Calculate the lowest common multiple of 2 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, -45.9, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(29\/((-2320)\/(-48))*(-20)\/(-16)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2141802 and 104.\nAnswer: 8567208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 14*p + 10. Is p + (-8)\/(1*5\/(-2045)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*l - 8*l - 432. Let z(y) = y**3 + 6*y**2 - 5*y - 16. Let i be z(-6). Solve l*f - 2*f = i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**2 - 8. Let u(x) = -15*x**2 - 44. Let r(j) = 11*n(j) - 2*u(j). Let a(d) = -273*d**2. Calculate a(r(o)).\nAnswer: -2457*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13\/4, 21, 0.05?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 3*s**2 + 0 + (2489 - 310 + 8)*(6*s - 6*s - 3*s**2) to the form d*s + c*s**2 + g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**3 + 80*z**2 - 84*z - 77. Give d(-41).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m = -150. Let a be (-4)\/((-4)\/9) - -3. Calculate the highest common divisor of a and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*-2*(-4)\/(-10). Let i = 8 - 10. Let m be 51\/(-15) - i\/5. Sort m, -2, n.\nAnswer: m, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4236.3709 rounded to the nearest 10?\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-162433*p + 162433*p + 1773*p**2)*(-3 + 4 - 2)*(-4 + 5 + 1).\nAnswer: -3546*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24750 plus 7573795735?\nAnswer: 7573770985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/84)\/(12\/42). Put 2\/15, 41, b in increasing order.\nAnswer: b, 2\/15, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -13 + -5 + (-3 - (3 + -10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -132666 (base 8) in base 6?\nAnswer: -555210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(228) + -4*sqrt(228)*2 + sqrt(228))\/(sqrt(972)*-2))**2 + (sqrt(2736) - (sqrt(2736) + -1 - sqrt(2736))) + 0 + 1).\nAnswer: 37\/3 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -93*t - 1157. Let o be q(-13). Calculate the highest common divisor of 3172 and o.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -88\/375, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -49201449 - 5?\nAnswer: -49201454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69363057\/2 or -34681530?\nAnswer: -34681530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26703 divided by 3.\nAnswer: 8901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9847911 bigger than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 153*w - 300. Solve w*v = 5*p + 4, 5*p = 4*v - 7*v - 19 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 37\/296 - (-7)\/8. Let c(s) be the first derivative of -1\/2*s**2 - k - 4\/9*s**3 + 1\/3*s. Solve c(u) = 0 for u.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*g - 229, -2*g + 0*g + 5*y + 168 = 0. Let v = 80 - g. Let k be (-105)\/(-28) - ((-10)\/8 - -1). Which is the closest to 3? (a) v (b) -0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 1314\/8 + 240\/320?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 5:11 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, c: 2, b: 4}. What is prob of sequence ccf?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 17*w**2 + 17*w - 4. Let v be j(16). Let n be 90812\/(-55) - v\/(-30). Let p = 1652 + n. What is the common denominator of -22\/3 and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 5*u + 181. What is the common denominator of (2 + 46\/u)*-55 and 6\/17?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 45676.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 - -104. Which is the biggest value? (a) 1\/6 (b) 1\/4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*j - 2*l, 2*j + l + 4 = 3*l. Suppose 95 = 2*u - 3*v, j*u - 5*v = 97 + 44. Let y = 50 - u. Let i(w) = 6*w**2 + 3*w. Calculate i(y).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 - 4*u**2 + 2*u + 12. Suppose 4*v + 48 = -6*t, -4*t - 21 = -23*v + 22*v. What is o(v)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b + 2*i + 88 = 0, 5*i - 15 = 0. Let g = -20804 - -104473\/5. Let h = b + g. What is the common denominator of h and -77\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 5*k**2 + 5*k + 8. Let p be s(7). Suppose 2*l - 512 = -4*c, -5*c = 3*l - 5*l - p. Does 41 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 1. Suppose -9 = -5*o + 4*l, o - 4 = -2*o + l. Let v(i) = 8*i - 11. Give o*v(c) + 6*r(c).\nAnswer: 2*c - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -1)\/1 - -42. Suppose 3*g - 2*o = -4*o + 71, 4*o = 2*g - 26. Let u = x - g. What is u rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 2\/11 (b) 3 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p - 1. Let y(c) be the third derivative of c**4\/12 + c**3\/3 + c**2. Suppose -137*b + 138*b = 3*k + 9, 22 = -5*k + 4*b. Determine k*y(q) - 3*s(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -90 - 2b?\nAnswer: -bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 329 - 11*u - 329 as p*u + f and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5, -18, -8, 0.2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1114943 or -1114909?\nAnswer: -1114943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*x = -77, 0 = -4*x - 7 - 9. Let t = -48 - z. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 35, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/58443)\/(92\/(-1012))?\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -154718383 - -154719638.00593. Let z = r - 1255. What is z rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2243064471 from -0.073.\nAnswer: 2243064470.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 21 = 9. What is the tens digit of 2 + -5 + s - -51?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 882 = 17*g. Calculate the least common multiple of g and 9.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ef1 (base 16) in base 15?\nAnswer: 4b93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -170*-1.19882\nAnswer: 203.7994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 - 54. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743?\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*f + f - 135*f.\nAnswer: -280*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53.29 + 53.59. Which is the closest to -1? (a) -2 (b) q (c) 372\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24707787 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -72 (b) -4 (c) -1\/10 (d) -1 (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4724497.\nAnswer: 4724497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 + 10*s - 8. Let f be l(9). Let y be 336\/(-9) + 10\/15*-1. Let j = y - f. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 328015?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l. Let w(h) be the third derivative of h**5\/20 + 7*h**4\/6 - 152*h**2 + 5. Determine x(w(d)).\nAnswer: 21*d**2 + 196*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1019 - 9*u - 1019.\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99)\/(18711\/315)*(-3)\/(-530).\nAnswer: -1\/106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 - 25*q**2 - 16*q + 41. Calculate f(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163949015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54 and 5677.\nAnswer: 306558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 29\/2 - (-4)\/8. Suppose 0 = 2*x - 5*x - f. Let h = 10 + x. What is the smallest common multiple of 4 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -3352.\nAnswer: 1\/3352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 35.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1*sqrt(448) + 4 + -1)*3 + -2)**2.\nAnswer: -912*sqrt(7) + 4393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 107*y**3 - 6*y**2 + 8 + 14*y**2 - 45*y**3 - 7 - y**4 - 49*y**3 as s*y**2 + w*y**3 + k*y**4 + u + o*y and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ef when two letters picked without replacement from ffzmfzsszue.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(3\/8)\/(((t*t**1)\/t)\/t)**(-45)*((t\/(t\/t**2*t))\/(t\/t**2*t))\/(t**0)**(2\/23) assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) -67507 (c) 2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + 7.8. Let g = 6 - z. Which is the second smallest value? (a) 1 (b) -4\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 911 = t, 2*t - 674 = 4*l + 1142. Suppose -9*j - 2519 = t. Let g = j - -181. What is g rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(10\/(-25))\/1. Let o be (-2)\/(-30 + x)*-12. Which is the second smallest value? (a) o (b) 1\/7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -2*d - 2*d**3 + 3 - 3*d**2 - 1\/2*d**4. Let w(f) = 0. What is f?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**3 + 158*c**2 + 180*c + 1871. Determine a(54).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -11*r. Let s(l) = 300*l + 314. Let w(y) = 60*y + 57. Let c(n) = -2*s(n) + 11*w(n). Give g(c(t)).\nAnswer: -660*t + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - w - 1175. Let q = -81 - w. Suppose 2*a = 28 + q. List the prime factors of a.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 + 12 + 3*r**3 - 6*r**3 - 5*r**4 - 14 in the form n*r**4 + i*r**3 + k*r + u*r**2 + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.894 to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 578 - -1?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 798\/114*3*6\/(-63)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + -8)*(-2)\/(-20). Let a = -29 - -40. Let y = 15 - a. Which is smaller: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 7*a**8\/48 + a**5\/20 + 37*a**4\/4 - 40*a**2 - 2. What is the second derivative of n(f) wrt f?\nAnswer: 980*f**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021816 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -2)*(-4)\/22. Which is the third smallest value? (a) 0.6 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2387\/30798 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 876 - 743. Suppose 14*m - 49 = i. Calculate the highest common divisor of m and 1391.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 10. Let v be k(6). Let s be (-8)\/v - 28\/2. Let l = 13 - s. Is 29 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/213 and 23\/7810?\nAnswer: 23430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.8 + 1.8. Let h = -0.381 + 4.381. What is the nearest to -12 in -1\/2, h, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*h - 3*h + 2*z, -4*z = -3*h + 17. Calculate the least common multiple of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.41152.\nAnswer: -1.23456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5028069*u**5 - 17497234*u**2 - 1 wrt u.\nAnswer: -301684140*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -0.3. Let k = -0.8 - z. Let r = 3 - 2. Which is the second biggest value? (a) -3 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2 - 10*v - 24 = 0. Calculate v.\nAnswer: -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3320254*p**3 - 66615*p**2 - p + 1.\nAnswer: 19921524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4568081456 to the nearest integer?\nAnswer: 67588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73 * 132.\nAnswer: 9636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -11*j - 24. Is ((-472)\/j)\/(1\/(-9)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 2289 = -2305. What is the nearest to 1\/2 in -0.1, 0.07, -5, g?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 0*a - 5*l + 275, -l = -3*a + 793. Suppose 5*f + a = 10*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 16*c**2 - 19*c - 34. Let l be h(-17). Suppose 3*d = -l*d - n + 799, n - 1331 = -5*d. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*r + 7, 4 = 4*r + 4*z - 12. Is 3\/82 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 12*i**2 - 12*i - 8. Let g be d(11). Let o = 36 - g. Is o a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z**4 + 3525551*z**3\/4 - 7492049*z**2\/2 + 14102789*z\/4 - 1322139\/2 = 0 for z.\nAnswer: -881426\/9, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6*p + 6 = 0. Suppose -p*g + 3*g - 32 = 0. What is the greatest common factor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 1, c: 1, h: 2, w: 1, e: 1}. What is prob of sequence ec?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -25. Let o(p) = -24*p + 1. Let g be o(f). Solve 2*a - 5*d = -g, -3 = 5*a - 3*d + 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1736 and 34194664.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.4. Let l be (-15)\/(-63) + (-4)\/6. Let s = 7 + -5. Put s, l, p in decreasing order.\nAnswer: s, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000046117474 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - -58. Let b = z + -117. Sort b, -2\/7, 1, 2\/3 in decreasing order.\nAnswer: 1, 2\/3, -2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**2 + 4*k**2 - 3*k**4 + (-3 + 3 + 7*k)*(-3 + 3 - k)*(0*k**2 + 3*k**2 - k**2).\nAnswer: -17*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**4 - 2*d**4 + 2*d**4)*(0 - 2 + 3 + 3*d).\nAnswer: -9*d**5 - 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -13*l**3 - 11*l**2 + 11*l - 11. Let r(u) = -7*u**3 - 6*u**2 + 6*u - 6. Let v be (-291)\/27 - (-4)\/(-18). What is v*r(m) + 6*i(m)?\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 204.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 61886631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 - (18 - 4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1493096 * 177.\nAnswer: 264277992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 66*m**2 + 59*m + 11. What are the prime factors of n(-6)?\nAnswer: 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/803 and 73\/99?\nAnswer: 7227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05976987115 to six dps.\nAnswer: -0.05977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 5*n + 68, -4*a + 0*n - 3*n - 108 = 0. Let m = 43 + a. Find the second derivative of 25*i - 29*i**5 - m*i + 33*i wrt i.\nAnswer: -580*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - 2*x**3 + x**3)*(2*x**2 - x + x) + x**5 - 2*x**5 + 2*x**5 + (-2*x**2 + 0 + 0)*(-2*x**3 - 5*x**3 + 12*x**3).\nAnswer: -5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17140 and 32960?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 675.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 21*a + 108*a + (1 + 0 - 2)*(-2*a + 2*a + 2*a) + (-2 + 2 - 1)*(0*a + 4*a - 3*a))*(0*a - 2*a + 0*a) + a**2 + a**2 - a**2.\nAnswer: -169*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 8 = 20. Suppose -n = -0 - 2. Suppose f*d + b - 82 = 2*b, 0 = -n*b + 4. Calculate the remainder when d is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/47, 5, -1\/7 in decreasing order.\nAnswer: 5, -2\/47, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v. Let d(x) = x**2 - 3*x. Suppose 7*i - 13 = 15. Let q(b) be the third derivative of b**4\/6 - 51*b**2. Let r(p) = i*d(p) + 3*q(p). What is r(s(u))?\nAnswer: 256*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8129*r**4 - r**2 - 2*r + 508286.\nAnswer: -32516*r**3 - 2*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 3*p**2 - 2*p - 3. Let f(h) = -h + 3. Let w be f(-7). Suppose 2*m = -4*i - 14, 2 = -m + i + w. What is n(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 40365, -3, -6 in descending order.\nAnswer: 40365, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 less than or equal to 3586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -3*sqrt(3)*-6)**2 + 0)*3 - -1*(-4 + (sqrt(300)*1 - sqrt(300)) + sqrt(300))**2*-3.\nAnswer: -192*sqrt(3) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 109*z - 402. Let k be f(-97). What is the greatest common divisor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 2*g, -423*k + 88 = -410*k + 4*g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*b - 9 + 0 = 0, -m - 3 = 2*b. Let d(r) = 6*r**2 - 3*r**2 + 31*r - 32*r. Let y(o) = 2 - 6137*o + o**2 + 6136*o - 2. Give m*y(x) - d(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2163, 7760, 16837, 29400, 45455, 65008, 88065, 114632?\nAnswer: 144715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 19*c - 3. Let y be m(-9). What is the common denominator of 0 + -3 - y\/33 and -77\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 77*n**2 - 148*n - 33. Calculate the remainder when d(75) is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 6 + 6)*(-1 + 2 + 1) + 2*n - 3*n + 0*n + (-3 - 3 + 5)*(2*n + 3*n - 4*n) + 28*n - 24*n - 82*n to x + s*n and give s.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 643211*p - 643211*p + 3*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 766.8 times -0.016\nAnswer: -12.2688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 9*t - 60. Let n(f) = -4*f**3 - 2*f**2 + 1. Let k be n(-1). Suppose 0*b - t = -k*b. Solve m - b = 5*v - 6, -10 = -5*v + 5*m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (52\/7)\/(4 - 2). Find v such that 30\/7*v**2 + 2\/7 + 8\/7*v**4 - 2*v - q*v**3 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105345792920 + -105345793706.11550081. Let q = 785.9955 + g. Let p = -0.12 - q. Round p to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -337.5.\nAnswer: -33.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/(-24))\/(105\/(-8)))\/(1196\/(-17940))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 42*k + 214. Let z be m(-5). Suppose 54 = z*b + a, 2*b + 5*a - a = 34. Calculate the lowest common multiple of b and 32.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85344 is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 15. Is 0.1 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -995*q = -964*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - f = -2, -3*f = -4*f - 4. Suppose -5*i + 1090 + 878 = -3*d, c*d = 4*i - 1575. Is i a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-3))\/((-70)\/(-15)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64800 = -44*w - 16*w. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7613, 15240, 22855, 30452, 38025, 45568, 53075, 60540?\n\"Answer: -y**3 + 7634*y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -100638 to the nearest one thousand.\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3687239317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (857 - 453 + 455)*(-2*k**2 + 2*k - 2*k) as b*k + v*k**2 + x and give v.\nAnswer: -1718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7 - -0.3. Let r = 144 + -144.3. Let b = 2.4 + -2. Put r, b, i in ascending order.\nAnswer: r, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x. Suppose -2*g - 8 = 0, -3*s + 0*s = -g - 16. Let q(m) = -10*m + s*m + 7*m + m. Calculate z(q(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 9:00 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17604 + -16771. Is 829 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-11)\/(-22))\/(1\/(-4)). Let a be 2 + (-1 - q) - -4. Suppose -a*v - 18 = -10*v. Solve -5 = -2*c + j - 2, 5*c - v = 3*j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/21)\/(p**(13\/4)*p))\/((p\/p**(-23))\/(p\/(p*p\/p**(-29)*p))) assuming p is positive.\nAnswer: p**(-4969\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -2. Suppose -31 = -q*u - 11. Solve -u*r + 2*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28.6485 - 0.0515. Let y = q + 34. Let z = y + 2.2. What is z rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1614 - -1602 - (0 - -36) - 29?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - l = -0*l - 381, 4*l = 4*d - 1516. Suppose d = n + 3*g - 41, 4*g + 1652 = 4*n. Suppose 0*x - n = -5*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j + 2. Suppose 5*i - 2*i + 37 = -5*r, -2*r - 14 = i. Let v = 7 + i. What is the tens digit of p(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12362 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 - 77.06. What is r rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59929.72 kilograms in tonnes?\nAnswer: 59.92972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 13. Let p = 33 - u. Suppose 10*j - 5*j - p = 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*z**2 + 47*z**2 - 18*z**2)*(-4 + 1 + 4) - 2*z**2 - z**2 + 8*z**2 + (0 + 2 - 1)*(z**2 - 2*z**2 + 3*z**2) + z**2 - 4*z**2 + 4*z**2.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzm when three letters picked without replacement from zmj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -504.979 - 9.03056. Let v = 514 + h. What is v rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 6 = g, -3*t + 53*g - 22 = 58*g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1398 - 11*y + 1398 + 0*y.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -835 + 787 = -12*r. Let d(l) = -5*l + 6 + 20 + 4*l. Calculate the remainder when d(r) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 + -90. Let j = 31 + r. Let t(y) = -13*y**3 - 10*y + 13. Let s(f) = -9*f**3 - 7*f + 9. Calculate j*t(w) - 7*s(w).\nAnswer: -2*w**3 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**4 + 4 - 6 - 6*i - 36*i**3 + 5*i**3 + 4*i**4 to o*i**2 + u*i + g + y*i**4 + p*i**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7056 = 1021*r - 1057*r. Solve 29*w + 7 + r = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, -4, 3 in increasing order.\nAnswer: -4, 3, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 3*y - 5, -7*y = -2*o + o + 22 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**4\/6 - 14*z**3\/3 - 15*z**2 - z + 69. Find j, given that c(j) = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -18*d**5\/5 + 30*d**4 - 218*d**3\/3 + 54*d**2 - 16*d - 2. Determine i, given that b(i) = 0.\nAnswer: 1\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*t**3 + 7120300*t**2 - 7120300*t**2.\nAnswer: 46*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*y**2 + 195*y**2 + 61*y**3.\nAnswer: 61*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003381 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 3. Let a(z) = -3*z - 18. Let n be a(-8). Calculate the lowest common multiple of v and ((-2)\/(-6))\/(n\/162).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 2*n - 3. Let l be (-2)\/6 + 42\/18. Let c be a(l). Let u = -29 + 31. Solve u*v = 5*m + 11, -c*m = 4*v + 8 + 15 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1422.93 + -13.26\nAnswer: -1436.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 5. Let i = -2 - g. Let k(h) = -2*h - 3*h + 4*h + i*h. Let c(y) = 5*y. Give k(c(f)).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**3 - 2*p**2 + 2*p - 3. Let g(a) = -7*a**3 + 5*a**2 - 5*a + 6. Let n be 5\/(-20) + 6 + (-3)\/4. Give n*c(b) + 2*g(b).\nAnswer: 6*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*j**2 - 6*j**2 + 2*j**2.\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(66)\/sqrt(6)) + 6*(sqrt(13) - (2 + sqrt(13))) + -5)**2 + -2 + sqrt(1053)*-1 + sqrt(1053) + -1 + sqrt(1053) + 1.\nAnswer: -25*sqrt(13) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -138 + 107. Let l = 96 + o. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21044*a = 21055*a + 55 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(-2 + sqrt(98) + -2))**2 - (-2 + (-6*(sqrt(98) + 2) - sqrt(98) - sqrt(98)) + 0)**2.\nAnswer: -8568*sqrt(2) + 7782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21499955?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20464 + -1857. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -31*w - 1376. What is x(-44)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/10*(-115)\/(-1150)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o - 3*o + 4*o - 2*o. Let x(v) = -29*v. Give u(x(q)).\nAnswer: -58*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) -2 (c) -0.065 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 82*j**2 - 34*j + 105. Is k(-37) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*q + 59, -4*p = 4*q - 9*p - 43. Let a be (-2 - (-18)\/8)\/(1\/q). Solve -5*r + 22 = a*z, 3*z - 3 - 9 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -o - 18. Let b(v) = 7*v - 7. Let n be b(6). Let j = n + -19. Calculate the remainder when j is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 30*l + 240 = 0, 5*g = 2*g - 2*l + 16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 16 = 2*h, i + 4*i + 25 = 3*h. Let k = 1 + 2. Suppose -a - 12 = -5*v + a, -k*v + h = a. Solve v*q + 3 = -3*r, 3*r + 6 = 4*r + 3*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 16*h + 39. Let w be a(-18). Is 2057 - ((-30)\/(-45) - (-10)\/w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.193 - 6.693. Let c = 2 - 2. Put -2\/5, p, c, -3 in ascending order.\nAnswer: -3, p, -2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 - -5. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72542747 divided by -3\nAnswer: 72542747\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2441124 a multiple of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.9 and -123742?\nAnswer: -977561.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36489, 145977, 328457, 583929, 912393, 1313849, 1788297?\n\"Answer: 36496*n**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 8*l**2 + 5*l + 15. Let w be (0\/(-10) - 7 - -11)*-2. Determine o(w).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1168 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by (-26)\/(-6) - 2\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/36 and 9\/21020?\nAnswer: 189180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**3 - 2*y**3 + 9*y**3 + (1 + 4 + 0)*(-4*y - 2*y + 4*y)*(20*y + 23*y - 38*y)*(4 - 4 - y) to l*y + x*y**2 + p*y**3 + d and give p.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Express -487 + 291 + 196 + 10437*b**2 in the form f + x*b + j*b**2 and give j.\nAnswer: 10437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*s**3 - 20*s**3 + 18*s**5 + (3*s**2 + s**2 - 6*s**2)*(5*s**3 - 2*s**3 - 4*s**3) - 4*s**5 - 3*s**5 + 6*s**5.\nAnswer: 19*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*3 - sqrt(98))**2 + -2 - (sqrt(98) + 1*sqrt(98)*-6)**2.\nAnswer: -2060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -2450*p**6\/3 - 85876*p**5 + 148664*p**4 - 303968*p**3\/3 + 34144*p**2 - 5696*p + 637. Solve y(i) = 0.\nAnswer: -89, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/46 and -58\/161.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20898.72 tonnes in micrograms?\nAnswer: 20898720000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4018169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b186 + 10?\nAnswer: -b176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.1 (b) -50 (c) 5 (d) 0.2 (e) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -1268*k + 21. Let u be d(-7). Let w = -5734 + u. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 p when four letters picked without replacement from pxkjpkppapkap.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 2*u**2 - 4. Let p be b(-3). Suppose 5*m + 8 = -7, 5*k = -p*m - 15. Let y = 38683 + -38663. Solve 0 = 5*c - y, -5*c = n - k - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -8*w. Let k(t) = -4*t**2 + 3*t - 3. Let z(g) = 7*g**2 - 5*g + 5. Let c be -7*(-1)\/(-70)*12*5. Let d(q) = c*z(q) - 10*k(q). What is x(d(n))?\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 0 - 7796\/16*-2. Let p = o + -1014. Suppose 5 = -7*x + 2*x, m - x + 26 = 0. Calculate the common denominator of m and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 659 = 1165. Let w be (0 + s)\/((-14)\/875). Round w to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21712865 to the power of 1\/2, to the nearest integer?\nAnswer: 4660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130.1 - 139. Let r = 0.75 - -5.15. Let z = r + f. Which is the fourth biggest value? (a) z (b) 4 (c) -0.3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3, x: 4, z: 1, l: 3, p: 2, e: 6}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 267831 - 3?\nAnswer: 26782b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*k + 51 = 0, 0*o + 5*k - 63 = 4*o. Let x(w) = 2*w**2 + 24*w + 13. Is x(o) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 0 + 130)\/((-77)\/(-1232)*64)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-27)*h*h**9\/h*(h*h*h**(-1\/8)*h)\/h*h*h*h*h**23*h assuming h is positive.\nAnswer: h**(87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-40)*-4 - 81\/(-5). Suppose -3*b - 25 = -o. Does 38 divide 73*b*(-2)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130896 and 193213.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11614296 divided by -2.\nAnswer: -5807148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/(y**(-3)\/y))\/y*y\/((y**(2\/29)\/y)\/y))\/((y*y*y**(-3\/4))\/y**(-6)) assuming y is positive.\nAnswer: y**(79\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 7731281 - 3*c**2 + 34*c**3 + 7731281.\nAnswer: 34*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 6:44 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 17. Let n(g) = -g - 7. Let h be n(r). Suppose p = 3*o - 50, h*o + o - p = 14. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -28 - 17 - -85\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(231)\/(sqrt(22)\/sqrt(2)))\/sqrt(7)*3.\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from ybyoopbohhbm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-3\/4)\/r)\/r)\/r)**(-1\/14))**(-31) assuming r is positive.\nAnswer: r**(-465\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 64 = -0*z + l, 0 = z + 2*l - 16. Let q = -21 + 21. Suppose 101*p - 94*p = q. Solve p = -2*t - 3*v - 2, -t + 6 - z = -3*v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2*(-72)\/54. Suppose 0 = -c*u - b + 71, b + 106 = 3*u + 3*b. Suppose -10*f - u = -12*f. What is the greatest common factor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + 741*m - 20550. Calculate n(26).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183170 a multiple of 282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 - 3*x**5 - 3*x**2 + (17*x + x - 2*x)*(4*x**4 - 4*x**4 - 2*x**4).\nAnswer: -35*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from vvvvvtttttfvbvvftvtt?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = o - 301 + 354, -2*o + 26 = 2*v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 318617*w**3 + 9*w - 17371?\nAnswer: 1911702*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 23. Let o = 4 + g. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1480.02401 - -1480. What is x rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 248457?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25365 and 285.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010012 + 1120?\nAnswer: 1011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 3*z**2 + 3*z + 5. Let a be m(4). Let s be (2 - 3)*0 + (1036\/(-42))\/(-37). Sort -2\/5, -4\/3, a, s in descending order.\nAnswer: a, s, -2\/5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55463 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o**2 - 1. Let b be k(1). Let a(q) = -q**3 - 5*q**2 + 3*q - 4. Let p be a(b). What is the highest common factor of p and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 69 = 2*u - 315, 2*q - 93 = u. Suppose 2*j + 0*j - q = 0. Suppose -3*z + 30 = 5*a + 2*z, 4*a - 3*z - j = 0. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 150 = -6*n + 165 - 105, -8*g = -5*n - 3*g + 175 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 9*s - 3*s**2 + 0*s**2 - 2*s + s**2 + 3*s**2 + 14. Let z be l(-4). Solve z*q + 4 = 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 28935485.\nAnswer: -21\/28935485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + -10. Let t = y - -38. Which is the smallest value? (a) 3 (b) t (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddqqd. Give prob of picking 2 d.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l - 19*l**2 + l + 20*l**2)*(-18109 + 351*l + 18109).\nAnswer: 351*l**3 + 2808*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6*(-7)\/7. What is the closest to n in -4, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*z - 10 = 0, 3*t - 22 = z + 6. What is the remainder when 17 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -4285 (c) 0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 118 and -2.1.\nAnswer: -247.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 + 180*f - 3744. Determine z(33).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4544 - -4?\nAnswer: 4548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3168237768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 0) + 47 + -60.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/12*4\/30 - 0.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -12*u**6 - 6*u**5 + 9*u**4 + 3*u**2 - 5*u. Let s(z) = z**5 + z**2. Let w(h) = l(h) + 6*s(h). Find the third derivative of w(a) wrt a.\nAnswer: -1440*a**3 + 216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 8*y + 13. Let x be t(-6). Solve 4*w - 3 = x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2526.\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104148 is divided by 6626.\nAnswer: 4758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -579.5 times -3?\nAnswer: 1738.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53490180 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g - 2007 = 5*u, -5*g + 10077 = -4*u. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -918 - -923. Let l(m) = m - 4. Let h be l(8). Which is the second biggest value? (a) 2 (b) -1 (c) h (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 356*h**2 - 13*h + 11. Calculate n(1).\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/23 or -0.76?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2067 (base 9) to base 4\nAnswer: 113233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 54 and 1333388.\nAnswer: 1333442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 161578 = 7612. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-10)\/6)*3. Let q(j) = j - 4 + 2 - l. Suppose -4*w + 3*i = -19, 0*w - 19 = -5*w - i. What is q(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3467 - -19.6533. Sort p, 0.11, -2 in decreasing order.\nAnswer: p, 0.11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3548 divided by -6.\nAnswer: -1774\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*i - 28 = 0, -5*i - 701 = -4*s - 736. Which is the fifth smallest value? (a) 0.1 (b) 0.3 (c) 3 (d) s (e) -18.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3126021432 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 12, 2*w + 4*i - 16 = 26. Suppose -2*l + 0*l = 0. Solve -5*v - 7 - w = l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17.3529 and -444.\nAnswer: -7704.6876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1024434*f + 27659718. What is w(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1290 and 32010?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/347880 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 29\/(-87) - 100\/(-3). Calculate the greatest common divisor of s and 2255.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-532)\/931)\/(4*138\/84).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -20\/3. Sort -2, 0, g.\nAnswer: -2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1445 and 2295.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i - 3*i**3 - 7*i - 13*i**2.\nAnswer: -3*i**3 - 13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 1\/720*c**6 + 0*c**2 + 0*c**4 - c**3 - 1\/120*c**5 + 0*c - 2. Let a(h) be the third derivative of k(h). Factor a(y).\nAnswer: y*(y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.79 to zero dps.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102*b**3*p**3 + 8*b**3*p**2 + 351*b**2*p**3*z**3 + 6411*b**2*p**2*z**3 - b*p**2 wrt p?\nAnswer: 612*b**3 + 2106*b**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 214 = 124. Let b be (g\/32)\/(21\/(-8)*2). Let o = 4 - 3. Does o = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2943946 + -24?\nAnswer: 2943922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20836705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 35 = -3*i - 58, 2*h = -5*i + 41. Let c be h*4\/(-40) + 3. What is the nearest to -3 in c, 0.04, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (74\/(-4))\/((-2)\/4). Let g be (6\/(-15))\/((-10)\/(-75)). Does 15 divide c + (13 - 4)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*t + 3*t - 116 = 0, -5*t + 140 = 5*p. Calculate the remainder when 261 is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29451660 is divided by 2677423?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -1160 in descending order.\nAnswer: 2, -4, -1160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146855 is divided by 625.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -2)*(-4 - 21\/6). Is 15 equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -1\/5*l**2 + 13 - 33\/10*l**4 + 0*l - 16\/15*l**6 - 16\/5*l**5 - 4\/3*l**3. Factor c(f).\nAnswer: -2*f*(f + 1)**2*(4*f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/39? (a) -1\/4 (b) 3683 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10222212 - 31312?\nAnswer: -10320130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 - -0.12. Let b = q + -0.08. Let u = 0.0099972 - b. Round u to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j = 2, 0 = 2*p + 4*j + 4. Let v(b) be the second derivative of -1\/12*b**4 + 0*b**2 + 0*b**3 - p*b + 0. Let g(i) = -i. Determine g(v(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.52 - 39.52. Let m = u + 32. Let l = 0.3 + -0.1. Which is the closest to 1\/4? (a) -2\/5 (b) l (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/7 + ((-1404)\/(-42))\/18\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3659*f**3 + 6*f**2 + 44451 with respect to f.\nAnswer: -10977*f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, u: 5, n: 2}. What is prob of picking 2 u and 1 o?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -12*u**3 + 16*u**2 + 24*u + 50. Let o(m) = 4*m**3 - 6*m**2 - 9*m - 17. Calculate 3*h(b) + 8*o(b).\nAnswer: -4*b**3 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 7180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -2 + (-50 - -19) - -55\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**2 - 2 + 2*c + 5 + 0 + 2*c. Does 9 divide s(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2534104 + 2?\nAnswer: -2534102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g - 15 = 2*l, 5*l - 15 = 3*g. Suppose -3*i = 4*r + 9, 3*i + 9 = 5*r - l*r. Let x = 112 - i. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r = 21. Let c(p) be the second derivative of p**4\/12 + 2*p**3\/3 - 3*p**2\/2 + 2*p. Is 5 a factor of c(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and -3933457.\nAnswer: 43268027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23268, 93092, 209470, 372402, 581888, 837928, 1140522?\nAnswer: 1489670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 9*k - 5. Let j be u(4). Suppose -4*q + 3*w + j = 0, 0*q - 5*w - 21 = q. Let f be 2\/(-8) + 97\/q. What is the greatest common factor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 203934 and 23616?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217 divided by 7.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((-22)\/(-220))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-8))\/((-6)\/8). Let l = 3.493 - -0.487. Let n = l - -0.02. What is the closest to -1 in q, n, 5\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2303?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffz when four letters picked without replacement from {z: 15, f: 5}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 739, 585, 583, 811, 1347?\nAnswer: 2269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 5671690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79112 and 10788.\nAnswer: 237336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 17*n + 10. Let k be h(-4). What is the tens digit of (-2)\/(-2) + (-1 + 6 - k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3169*w - 3141*w - 24472 = 0. What is the least common multiple of 38 and w?\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/8 - ((-145)\/4 + 0). Let w = -34 + f. Suppose 0 = t + t - 10. Put 4, w, t in descending order.\nAnswer: t, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 5:27 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 9*v - 7. Let m be b(-10). Suppose m*w = 2*k + 9, 2*k - w = -0 + 1. Suppose 3*i - 42 = -k*z + z, -i - 56 = -4*z. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-24786)\/(-1026) - 24).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 11*b - 31. What is f(5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 33. Calculate f(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111.3 + -108.3. Which is the nearest to 0.1? (a) 0.6 (b) s (c) 70 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 141 - 3*o**2 + 3*o**4 - 5*o**3 + 21*o + 0*o**4 - 141 - 16*o**3 = 0.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 71414126671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 + -1.9. What is the closest to 0.1 in 2\/5, v, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 2:28 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) - (-65)\/14. Let w be (44\/(-280))\/((-1)\/6). Let i = s - w. Calculate the common denominator of 62\/5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1005, -963, -921, -879, -837, -795?\n\"Answer: 42*u - 1047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5400 = 1735*q - 1519*q for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 >= -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-13)*2418\/2790?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**0*h)\/h)\/(h**(1\/3)\/h))\/(h**(-1\/4)\/h*h)**(-3\/22))**(-37) assuming h is positive.\nAnswer: h**(-15947\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3874711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 473\/4, -8\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.2182737 months?\nAnswer: 0.00018189475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 - 468 - 9)*(2*p**3 - 3*p**3 - 5*p**3) - 2*p + 2*p - 2*p**3.\nAnswer: 2482*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 430692 a multiple of 521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 25. Suppose 3*z - f*w - 420 = -w, -700 = -5*z + 4*w. Let b = z + -78. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/5 (b) -3\/49 (c) -2 (d) 0.004 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 615674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 + 0.37. Let j = k + -0.2. Let v be -11 + 9 + 2 + 2\/(-14). Which is the closest to j? (a) -0.5 (b) v (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2304 - 44. Suppose 38630 = 3*m - s. What is m rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1723563 rounded to two decimal places?\nAnswer: -3.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 962343 and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20179, 40312, 60477, 80674, 100903, 121164, 141457?\n\"Answer: 16*r**2 + 20085*r + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.3. Suppose -4*n - 4*n - 24 = 0. Let z be (-370)\/(-450) + n\/5. What is the smallest value in z, -2\/9, v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 175, 235, 295?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116362400 by 2115680.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 8:39 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 461 - 326. Let r = -122 + l. Solve 3*o - r = -i, -2*i - 5*o + 17 = -4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 6:33 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33922 + -22690. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(5) + sqrt(45)\/(sqrt(36)\/sqrt(4)))**2 + (sqrt(320) - sqrt(320)*-1)**2 + 4.\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in 5, 0.218, 67\/4?\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 77*q**3 - q**2 + 2*q - 2. Suppose -2 - 2 = -4*a. Let c be p(a). Let l = c - 48. Solve l - 3 = 5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17664.93 to the nearest one hundred.\nAnswer: 17700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {u: 2, r: 1, t: 1, v: 13, z: 1, h: 2}?\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-52*1\/14 - -4) + (-14477)\/(-217). Calculate the highest common factor of 32629 and z.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h**2 + 4*h - h**4 + 1 + 11*h**2 - 21*h**2 + 39*h + 0*h**4 - h**3 as s*h + l + q*h**4 + f*h**3 + o*h**2 and give s.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(d\/(d*d**1)))*d)**(-33)\/(d**(-10)*d*d**11\/d))**(1\/13) assuming d is positive.\nAnswer: d**(32\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 8*o + 7. Let c(d) = 7*d**3 - d**2 - d - 1. Let z be c(-1). Let r be (0 - 0)\/2 + z. What is the remainder when 20 is divided by b(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 17 = -2*h + 27, 4*h = -4*b - 72 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**4\/2 + 2*w**3\/3 - w**2 + 13*w. Let f be y(1). Find the common denominator of f + 436\/(-40) - -4 and -115\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5021 is divided by 219.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 550699581 to the nearest integer?\nAnswer: 23467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k = 5784 + 14893. What is the greatest common divisor of 23 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 1. Let z(n) = n + 2. Let c be z(4). What is the units digit of p(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -42*q**3 + 10*q**2 + 12*q + 50. Let n(z) = -z**3 - 4*z**2 + z - 1. Let p(y) = 3*n(y) + w(y). What are the prime factors of p(-3)?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -272*u + 928 wrt u?\nAnswer: -272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-10)\/(-35) + 48\/(-21))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + b - 11, 4*p + 3*b = 21963 - 21938 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 7*t + 8. Let p be c(8). Suppose p = -5*x - 25 + 5. Which is smaller: -13\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**3\/6 + 9*l**2 - 2*l. Let v be j(11). Let u be (v\/(-4))\/(2\/(-24)*3). Calculate the greatest common divisor of u and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2496*i + 565. What are the prime factors of l(-11)?\nAnswer: 7, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -60*d. Let u(m) = -m**2 - 48*m + 86. Determine b(u(k)).\nAnswer: 60*k**2 + 2880*k - 5160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 33097?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311443201 (base 6) to base 14.\nAnswer: -a08b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10934 is divided by 1818?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 + (-14 - -23) - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87*f**5*q**2 + f**5 - 24*f**2*q + 2*q**2 wrt f.\nAnswer: -5220*f**2*q**2 + 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 15, 2*z = s - 4*s - 16. List the prime factors of s\/(3 - 12\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 80 = 3*c. Suppose 0*n - 5*n = -c. Suppose n*d = 14*d + 1814. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f + f**3 + 60 + 0*f**3 - 56 - 5*f to j*f + g + n*f**2 + k*f**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*i - 56 = -5*q - 79*i, q + 3*q = -0*q - 10*i - 290 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxjx when four letters picked without replacement from {x: 3, j: 4, u: 6, s: 2, q: 1}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + v - 4*v)*(10 - 15 + 6) - v + 5*v - 3*v + ((-2 + 3 + 0)*(4*v - v - 4*v) - v + 2*v + 11*v)*(0 - 5 + 0) + 4 - 4 - 3*v.\nAnswer: -56*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.9 - -2.1. Let r = -55\/21 - -16\/7. Let m = -0.3 - -0.2. Which is the closest to -0.1? (a) j (b) r (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -185, -2, 6, 2, -5, -107 in ascending order.\nAnswer: -185, -107, -5, -3, -2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 6*y**2 - 6*y - 8. Let r be i(-9). Is (-10)\/25 + r\/(-5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4692a + 42?\nAnswer: -46898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -2182, -6, 0 in descending order.\nAnswer: 4, 0, -4, -6, -2182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 23. Let z = -8 - -8. Solve g = -z*v - v + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100100 (base 2) in base 5?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 1148.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24848, -24276, -23704, -23132, -22560, -21988?\n\"Answer: 572*z - 25420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.6*1359321\nAnswer: -2174913.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -56*d + 556. What is l(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 10001*n**2\/2 - 5*n - 15. Let h be q(5). What is h rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/112 and -191\/9840.\nAnswer: 68880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 2\/(-3)*12988\/952.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/6)*a*a)**(1\/70)*(a**7\/a)**(-11) assuming a is positive.\nAnswer: a**(-27701\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1645*g**3 + 1662*g**3 - 3285*g**3.\nAnswer: 22*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + c. Let i be w(6). Let z be ((-40)\/12)\/(7\/(i\/(-4))). Solve 20 = -z*b + 5*l, 5*b - 4*l = 7 - 27 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*b + x, 3 = -0*b + 5*b - 2*x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {c: 1, r: 1, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41 - 306430?\nAnswer: -306356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28665.\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 3\/5 (b) 4 (c) 52 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3479, 22931, 74339, 173681, 336935, 580079?\nAnswer: 919091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 33*l**2 + 16*l - 709. Let o(r) = -34*r**2 - 13*r + 709. Let f(x) = 4*h(x) + 5*o(x). What is the derivative of f(j) wrt j?\nAnswer: -76*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - y - 13 - 19 = 0, -5*t + 20 = -5*y. Solve -3*c = -5*c + d + t, -3*d = -9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vedrvregvvevugervv. Give prob of sequence egg.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 0 - (-5 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -18*y**2 + 12*y - 107. Let x(q) = -20*q**2 + 16*q - 106. Determine -4*w(j) + 3*x(j).\nAnswer: 12*j**2 + 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -569.\nAnswer: 15\/569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-840)\/(-54) + 10\/(-45). Let o = u + -83\/6. Let f = -6 - -8. Which is the biggest value? (a) f (b) o (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4*d = -19 + 184, 0 = -4*n - 3*d - 95 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 5, 15, -1 in descending order.\nAnswer: 15, 5, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1498*z + 256784 = -1482*z. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 59 = 13. Let x(u) be the third derivative of -9028*u**5\/15 + 2*u**4\/3 - u**2 + 38. Let s be x(p). What is s rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75821193 at most as big as 75821196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00049 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 63 (b) 1\/2 (c) 2\/11 (d) 2\/17 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -688, -588, -320, 200, 1056, 2332?\n\"Answer: 14*s**3 + 2*s - 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ly when two letters picked without replacement from uuullyrylllulssols?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (34\/(-4) - (3 - 10))*(-6)\/27\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*a + 3*o, 3*a + 5*o = 5*a + 1. Let q(t) = t + 10. Let b be q(a). Solve -2 - b = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7303396.\nAnswer: 2, 673, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38c17 (base 15) to base 4.\nAnswer: -230111131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c. Let k(m) = -9*m - 7. Let g be k(-3). Let u(o) be the second derivative of -1494 + 1494 + 2*o**3 - g*o. Give a(u(i)).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/15)\/(143\/(-220)*-8)*-39.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.805 times 1945?\nAnswer: 38520.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, l: 8, a: 4, d: 5}. Give prob of picking 2 a and 1 b.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(219\/(-54) + 4). Calculate the highest common factor of x and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-6)*1\/5*6*(-352)\/(-47520)?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) -28.6 (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 16882021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 94 divided by -6\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -842*h**3 + 2*h + 1. Is p(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 + u**4 + 3 + 102*u**2 + 27*u**4 + 105*u**2 - 203*u**2 to q*u**4 + w*u**2 + a*u**3 + z*u + o and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u + u - 4*u. Suppose -2 = j - 1. Let p(m) = -3*m. Calculate j*p(f) + 4*a(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 56?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003068 rounded to seven decimal places?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 2 + 1)*4. Let d(a) = -a**2 + 9*a - 21. Let v be d(6). Suppose -2*p - 5 = -4*i + 3*p, 3*i = p + 1. Put m, v, i in ascending order.\nAnswer: v, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 8*h**3 + h**3 + 4*h**3.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-8) + (-33)\/(-22) - -3. Solve 2*g = t*p - 5*p + 9, 0 = g - p - 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-71)\/(-4) + (-3)\/4. Suppose -3*q = -k - 25. What is the highest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -6*v + 5*l + 145, 4*v = l + 504. Suppose -v*x + 104 = -117*x. Calculate the remainder when 101 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 0*z + 2*z - z. Let b(l) = 2. Let y(q) = -q. Let u(f) = -b(f) + 8*y(f). What is 6*h(r) + u(r)?\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(-2))**26)**(-14))**(-13))**(2\/65) assuming w is positive.\nAnswer: w**(2184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 30*f - 1. Let r(n) = 150*n - 6. Determine -16*m(y) + 3*r(y).\nAnswer: -30*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 4*t + 6*t + t - t - t + (-2 + 2 - 2*t)*(0 - 1 + 0) - 10*t - 11*t + 8*t to a*t + o and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1018394 + 1018398. Determine l so that 1\/3*l + 5\/6*l**h + 7\/6*l**2 + 0 + 3\/2*l**3 + 1\/6*l**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101477, 203019, 304555, 406085?\nAnswer: 507609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 803?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (887\/15)\/((-18)\/(-3435)). Let l = x + -11277. Let a = 4\/857 - -88199\/15426. Find the common denominator of l and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3024)*-1 + sqrt(21))\/(sqrt(14)\/(sqrt(2)*1)))**2 + 3 + (sqrt(363)\/(sqrt(11) + 4*sqrt(11) + sqrt(11)))\/(3*sqrt(1584)).\nAnswer: sqrt(3)\/216 + 366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1001*f - 1022*f = -462 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 1. Let x(y) = -2*y - 11. Give -66*w(n) - 6*x(n).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/60 and 181\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 47*h**2 + 352*h + 2510. Let g(t) = -21*t**2 - 177*t - 1254. Let z(q) = 4*f(q) + 9*g(q). Factor z(j).\nAnswer: -(j + 7)*(j + 178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cecdeccccdccddddcc. What is prob of picking 1 d and 2 c?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(sqrt(5)*-2 + 4 + -5 + (sqrt(720) - 6*(sqrt(720)*-1 + sqrt(720)) - sqrt(720))) + 5.\nAnswer: 8 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2776.06+2118\nAnswer: -658.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 7:17 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lplpppzl. Give prob of picking 1 z and 1 l.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*m + 7*m + 20. Let u(y) be the first derivative of -y**4\/12 + 2*y**3\/3 - 24*y + 36. Let z(w) be the first derivative of u(w). Determine z(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.1, -29, -66, 5, -3?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.106055 + 6844063\nAnswer: 6844062.893945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65455921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 w when four letters picked without replacement from ynnwknnywl?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -b - 56. Let f(y) = -y**2 + 13*y + 17. Let g be f(b). Let o be (24\/9 + -3)*3. Sort g, 5, o in ascending order.\nAnswer: o, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 11*y + 239. Let t(q) = -q**2 + 31*q + 717. Determine 17*r(p) - 6*t(p).\nAnswer: 6*p**2 + p - 239","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3847*j**2 + 1106*j**2 - 10283*j**2 to the form m*j**2 + l + b*j and give m.\nAnswer: -13024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*q + 885*q**2 + 16*q - 99*q**2)*(q**2 + 0*q + 0*q).\nAnswer: 786*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arorxrroraaxr. What is prob of sequence rx?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -21*x**2 + x + x**5 + 21*x**2. Let m(w) = -3*w**3 + 3*w + 2*w**5 + 10*w**5 - 6*w**5. Let g(r) = 3*b(r) - m(r). Factor g(j).\nAnswer: -3*j**3*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000121516 rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 853748 and 975712?\nAnswer: 6829984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h = -33*h. Sort -5, h, 6, 1 in increasing order.\nAnswer: -5, h, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**4\/12 + h**3\/3 - h. Let x = -2 - -1. Let d(i) be the second derivative of i**3\/6 + 18*i. What is x*g(q) + 2*d(q)?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -36\/5, 0.2, 1, 13\/6, 17.03 in ascending order.\nAnswer: -36\/5, 0.2, 1, 13\/6, 17.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1461001.\nAnswer: 1461001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j + 34 = 8*j. What is the thousands digit of (j + 0)*5\/(-50)*5615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -0.1. Let j be (-40)\/30*(-81)\/6. Let v be (j\/(-270))\/((-4)\/(-36)). Which is the biggest value? (a) 3 (b) p (c) v (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from njnnnnjnnnnnnjjjjjn?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 3 + 7*b - 3\/2*b**2 - 7\/6*b**3. Determine h(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1710054372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2163727 (base 9) to base 13\nAnswer: 319b04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 14*d - 2. Let y be f(14). Let j be -1 + 6 - (y + 4). Solve 2*r - r - v - j = 0, 0 = -5*r + 4*v + 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -124*l**3 - 2*l**2 + 1. Let a be d(-1). Suppose a - 75 = 4*x. Solve 4*o = 4 + x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/13851950 and 97\/418.\nAnswer: 152371450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 23*g + 175. Is j(12) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 921 is divided by 186.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578527.\nAnswer: 17, 34031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.00641 rounded to two dps?\nAnswer: -6.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owdwd. What is prob of picking 1 w and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**6 - 627*u**5 + 2*u**2 + 6*u.\nAnswer: 120*u**3 - 37620*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -85*u. Let d(c) = -18673*c. What is d(j(h))?\nAnswer: 1587205*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1\/4, -5, -84\/89, 48 in descending order.\nAnswer: 48, 1\/4, -0.5, -84\/89, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -227 + 223.13. Let b = c + 3.77. What is the closest to b in 1, -4, 2\/9, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.094781 and 0.114917291.\nAnswer: 0.020136291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 16. Let i be -10*3\/w*1. Let h be (i\/(-2))\/((-3)\/(-6)). Solve -3 = -h*a + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -2*k**4 + 54*k - 32. Differentiate b(m) with respect to m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 6:15 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26\/5 of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 278*((-4)\/(-1) - 63\/18). Let o = n - 122. Differentiate -x - o - 17*x - 3*x + 0*x with respect to x.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 15*u**2 - 34*u - 44. Let g be o(16). Let f = g + 399. Which is smaller: 135\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 482973.6 litres to millilitres.\nAnswer: 482973600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -21*z + 6*z + 130. Put 0, z, 3 in descending order.\nAnswer: z, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, -28, 2\/65, 3, 0.9 in increasing order.\nAnswer: -28, 2\/65, 0.9, 3, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -4, -0.3, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/149 and -61\/6.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 - (-1 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((33 + -441)\/(-51))\/(2\/5).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 2, -2\/9, 3, 210?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by -14?\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9641)\/(-6) - 20\/(-120). Suppose 5*c + 2*t - 4990 = -y, 3*t + 3388 = 5*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 117306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -92*b**7\/7 + b**6\/6 + 2*b**3\/3 - 50*b - 45. Find the third derivative of m(s) wrt s.\nAnswer: -11040*s**3 + 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112121697 to the power of 1\/2, to the nearest integer?\nAnswer: 10589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.9312 less than -0.4?\nAnswer: -132.3312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 3*g + 5 = 9, 3*m + 5*g = -32 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5)*(z\/((z**0*z)\/z))\/z*z*(((z*z**(1\/4))\/z)\/z*z*z)**(6\/17) assuming z is positive.\nAnswer: z**(-121\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 324943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l - 9*l)*(3*l**3 - l**3 - l**3) + (-2*l**2 + 6*l**2 - 2*l**2)*(0*l**2 + l**2 + l**2).\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 3*k**8\/224 - k**7\/70 - k**6\/5 - 7*k**5\/20 - 3*k**4\/16 + 46*k**2. Suppose z(f) = 0. What is f?\nAnswer: -1, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -361.4 - -394. Let n = f + -32.5. Which is the second biggest value? (a) 2\/25 (b) -1 (c) n (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 980\/4477?\nAnswer: 980\/4477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 517459 - 81206. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 4*p**2 + 6*p - 2. Determine o(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4589936 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*25\/20*2. Suppose -2*y + 3 = 3*v + 2, 50 = -q*y + 3*v. Let u(o) = -o**2 - 8*o - 10. What is u(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.95 - 4. Let z = -4.2 - -2.25. Let q = z + s. What is the third smallest value in q, 2\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.646983 millennia to decades.\nAnswer: 764.6983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**4\/4 + 2*m**3 - 10*m**2 - 35*m - 851. Calculate g(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88749000 by -190.\nAnswer: -467100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prlpppvpv. What is prob of picking 3 p and 1 r?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 109765, 4, -3, 0 in increasing order.\nAnswer: -3, 0, 4, 109765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-10)\/(-120)*16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**3 + 5*u**3 + 29*u**3)*(6*u - 2*u - 85 - 3*u).\nAnswer: 29*u**4 - 2465*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 3 - (-64)\/(-10). Let k = -271\/90 - x. Find the common denominator of k and (13\/(-22))\/((-2)\/(-10)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + 0 + (-6)\/(-3). What is the units digit of 2 + -1 - (-96 + p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*n**4 + 6250*n**3 - 1842897*n**2?\nAnswer: 1320*n + 37500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92814 is divided by 47.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13334621 + 11?\nAnswer: 13334632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.187 - -0.313. Which is the nearest to -5? (a) -5 (b) y (c) -1\/2 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 46\/3 - 2\/6. Differentiate -10*j**4 - 2 + c*j**4 - 3 with respect to j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 9:31 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q. Let a(v) = 1783563*v**2. Calculate a(y(i)).\nAnswer: 1783563*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 21*f**2 + 22*f + 14. Let o be q(-22). Suppose -17*n = o*n - 248. What is the biggest value in 3, 2\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83186108?\nAnswer: 2, 20796527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 24 = 5*a. Suppose -a*h + 0*h = 24. Let o(p) = -4*p - 4. Give o(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34540?\nAnswer: 2, 5, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 5*w**2 + 4. Let m be d(-5). Suppose 0 = m*j - 2*j - 14. Suppose 2*q - j*q = -25. Solve a - q*z - 14 = 0, 0 = 3*a + 4*z - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.0110521 microseconds to hours.\nAnswer: 0.00000000222529225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -275714 or -7168573\/26?\nAnswer: -275714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1939684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, u: 1, e: 2, y: 5}. Give prob of sequence uje.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -47, -62, -91, -140, -215, -322, -467?\n\"Answer: -d**3 - d**2 - 5*d - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(343) + 1*sqrt(343)*1 + sqrt(343) + 0 + -2)**2.\nAnswer: 126*sqrt(7) + 3096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 43. Sort 14, l, 2\/7.\nAnswer: l, 2\/7, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 83 + 39. What is the remainder when w is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 291 + 249 = 0. Suppose v + 12*h - 111 = 15*h, 0 = z*v - 3*h - 327. What is the lowest common multiple of 18 and v?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**3\/2 + 1602*p. Let n(s) = -40*s**2 - 11*s. Let l(r) = -20*r**2 - 6*r. Let x(k) = 5*l(k) - 3*n(k). Give u(x(y)).\nAnswer: -60*y**2 - 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 + 0)*(-5 + 13*h + 10*h - 24*h).\nAnswer: -5*h - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -725.4 + 725.4002933. What is j rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pssvpppvpspssp. Give prob of picking 1 s and 1 v.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.5531421us to days.\nAnswer: 0.00000000018001321875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 0.4, -4\/19, -39, -254 in ascending order.\nAnswer: -254, -39, -3\/4, -4\/19, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -193 - -194. Find the common denominator of -127\/24 and d\/(0 + (-144)\/(-102)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -2*h**3\/3 - 511*h - 3. Let j(i) = 215*i**2. Give k(j(t)).\nAnswer: -860*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpknh. What is prob of sequence hr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkknott. Give prob of picking 1 k and 1 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**3\/2 + 65*s**2\/2 - 35*s = 0.\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -5*u - 1298. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 5:32 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7 = y, y + o + 21 = 6*y. Let r = -8 + 15. Let v = r + y. Calculate the remainder when 43 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/1218 and 65\/42?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 343*q + 23712*q**3 - 343*q + 35*q**3 + 24466*q**3 + 0*q**3 - 5*q**3 + 4*q**3 + (6*q**2 - 4*q**2 + 0*q**2)*(5*q - 4*q - 2*q) + 2*q**3 - q**3 - 3*q**3.\nAnswer: 48208*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -14\/14019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5350 is divided by 1063?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1119251 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 2 - (10 + 3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (60\/4)\/(-5) - (-7 - -1). Let s(a) be the third derivative of 0*a - 3*a**2 + 1\/24*a**4 + 0 - 5\/6*a**l. Calculate s(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3)**(-8\/3) assuming b is positive.\nAnswer: b**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 8*y + 5*y)*(2 - 2 - y**2).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-4)*(-32)\/1904.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 6 = y. Suppose -2*d + 0*d + y = 0. Let l = d + 1. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 32*i - 1236. Determine s(34).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 28 = -50*f + 48*f, -3*f = -c + 22. Let w be 2\/9 - (-13)\/(468\/(-152)). What is the closest to -48 in w, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -483 and -480 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 415192 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: In base 15, what is -607e - a3?\nAnswer: -6132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**13\/(q\/(q*q*q*q**(-1\/32)*q)) assuming q is positive.\nAnswer: q**(511\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09 + -5.09. Let l(r) = -r**3 + r. Let d(i) = i**3 - i**2 - 2*i - 1. Let s be d(-1). Let o be l(s). Which is the nearest to 1? (a) o (b) -0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -191*u. Is m(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**8\/168 + v**6\/60 - v**2\/2 - 2*v. Let m(a) be the first derivative of u(a). Solve m(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + 15 + -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6.38 (b) -13 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lddddlddlllddddd. What is prob of picking 2 d and 1 l?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8091*c - 14*c**2 - 2029*c - 2022*c - 2021*c - 2019*c.\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = 10*l - 2*f, -9*f - 30 = 4*l + 2*f - 0*f - 6*f for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7131*l**4 + 7*l**3 + 2*l**2 - 1025.\nAnswer: -171144*l + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = -2*a. What is the lowest common multiple of -3 + 2 + (-8)\/a and ((-16)\/5)\/((-8)\/20)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -6, 5*o + x + 2 = -3*x. Let r be (-4)\/(-10) + (-10)\/25. Is (2 - r)*(o - 0) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 3*x - 2*z, 16*x - 21*x + 6*z = 32 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i + 17*i - 5*i + 1 - 1 - i + 2*i + 4 - 4 + (2 + 0 + 0)*(-2 + 2*i + 2) - i - i + 4*i + 3*i - 2*i - 4*i)*((-3 + 2 - 12)*(4 - 3 - 2) + 5 - 2 - 1).\nAnswer: 330*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5050*z + 5048*z - k + 2, 0 = -z - k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*w - 144 = 0. Solve -7*z + z - w = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - 2*k)*(-1 - 2 + 5)*(-8077*k + 65*k**4 + 8077*k).\nAnswer: -260*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7\/628 (b) -2 (c) 4 (d) 2.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -32*j**5 - 324*j**4 - 1176*j**3 - 1840*j**2 - 1056*j = 0.\nAnswer: -33\/8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcyyydychoxyyyxyyxhx. What is prob of picking 1 c and 1 o?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6184 and 113969574?\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m - 1. Let n(h) = -h**2 - 21*h - 82. Let v be n(-13). Suppose v*w - 56 = -56. Sort m, -9, w in descending order.\nAnswer: w, m, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10 = 35, -20 = 5*a + 3*x. Let r = 90 - 88. Let o(t) = 6*t + 144*t**3 - 5*t - 140*t**3 + 2*t**r. What is o(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3527 - -3521.004. Let u = -0.004 + y. Which is bigger: u or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 4 (c) -3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 7\/6, -1\/6, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2833709523 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -13*r**4\/8 + 51*r**3\/2 + 67*r**2 - 10*r - 2. Give o(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5488\/3920 - (-2)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 10166*b**2 + 230*b. Let u(z) = -132*z**2 - 3*z. Suppose -35*a = -32*a - 9. Let d(p) = a*n(p) + 230*u(p). Let q(x) = 3*x**2. What is q(d(l))?\nAnswer: 57132*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 143*s**3\/3 - 14*s**2 - s - 91. Find the second derivative of r(y) wrt y.\nAnswer: 286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 0*y**5 + 0*y**3 + 0 - y**2 + 2*y + 0*y**4 - 7\/30*y**6. Differentiate h(i) wrt i.\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7*(4 + -2 - 5). Suppose 3*f + 6 = 0, p*f = -u + 19*f - 2. Let -2\/9*h**3 - 2 - 2\/3*h + 10\/9*h**u = 0. Calculate h.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*j, j = 2*g - 3*j. Which is the closest to -1? (a) 1\/4 (b) g (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 624*n**2 + 12665*n - 29. Determine y(-21).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-68)\/18*-6. Suppose 2*r - x = -0. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.907362 and 0.4.\nAnswer: 4.7629448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 4 + 3 - 6) + -11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/12838840 and -111\/41726230.\nAnswer: 166904920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -7. Let x = 24 - i. Which is bigger: x or -2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 7*w + w)*(0*w - 2*w + 0*w)*(-2 + 2 - 3 + (-1 + 0 - 1)*(2 - 5 + 1)).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2352\/(-560))\/((2\/(-5))\/(-2)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5731709?\nAnswer: 5731709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 309112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1 + 0 - v + 1. Let n be o(-2). Find the second derivative of 0*r**2 + 10*r - 7*r**2 + 2*r**2 - 3*r**n wrt r.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 465*o**3 + 8*o**2 + 792*o. Let f(p) = 155*p**3 + 3*p**2 + 264*p. Let r(x) = -8*f(x) + 3*i(x). What is the second derivative of r(j) wrt j?\nAnswer: 930*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 130\/4 - (-2)\/(-4). Let f = q + -30. Determine u so that 7*u**2 + 3*u**f + 3*u**3 - 24 - 4*u**2 - 2*u - 10*u = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*sqrt(10)\/(sqrt(2) - (sqrt(2)*-2 + sqrt(2))).\nAnswer: 15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 568142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 31. Let h be f(0). Calculate the greatest common divisor of h and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 2*a**2 + 0*a**2)*(-5 + 3 + 3) + 5*a**2 - 2*a**2 - 6*a**2 + (2*a + 3*a - 3*a)*(4 - 4 - a) + 3 - 2*a**2 - 3.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/(-10))\/1 - 42\/(-70). What is the tens digit of ((-2)\/((-8)\/j))\/((-2)\/392)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-3 - 1 - 1 - (169 + -172)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -107a8b - 3?\nAnswer: -107a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(1\/(-1 + 2)). Let v = 0.08 - 0.15. Let f = 0.13 - v. Which is the nearest to f? (a) q (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7465736 to the power of 1\/2, to the nearest integer?\nAnswer: 2732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-5))*o**6)\/((o*o*o*o**(3\/7)*o*o)\/(o**(1\/20)*o*o)))**(-2\/9) assuming o is positive.\nAnswer: o**(37\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**4 - 5150*u**3 - 570145*u**2 - 565000*u = 0. Calculate u.\nAnswer: -904, -125, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**4 + 5*h**4 - 4*h**4)*(-4 + 4 + 1)*(41*h - 30*h + 76*h).\nAnswer: -174*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1359 < -1359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 70*h - 68.\nAnswer: -2*(h - 34)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 6:47 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**4 - 90*i**3 + 149*i**2 + i - 6. Let u(h) = 2*h**4 - 90*h**3 + 149*h**2 - 4. Let q(s) = 3*u(s) - 2*w(s). Find the third derivative of q(c) wrt c.\nAnswer: 48*c - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**3. Let g(t) be the second derivative of -t**5\/10 - 5*t. Determine 5*g(d) + 3*o(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyv when three letters picked without replacement from {o: 4, v: 5, y: 2, d: 2}.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4905, 9812, 14719?\nAnswer: 19626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 + 99*j + 2*j**4 + 22 - 4*j**3 + 59387184*j**2 - 59387184*j**2 in the form i*j + q*j**2 + g + r*j**4 + o*j**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -10, 79.\nAnswer: -10, 2, 4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9326.057 decades to millennia.\nAnswer: 93.26057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24375 by 53.\nAnswer: -24375\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 2 - 6 - 5. Suppose 5*l - 7 = 4*l. Determine v(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2708161000 to the nearest 1000000.\nAnswer: -2708000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4024 + -1101?\nAnswer: 2623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5659\/4 at least -1415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -13, -21, -37, -61, -93, -133?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 961 + -921 - (-118)\/(-3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1671338.\nAnswer: 2, 17, 49157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5622880 divided by -351430.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h + 59. Let k(w) = -3*w + 120. Calculate 2*k(j) - 5*m(j).\nAnswer: 4*j - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 + 228*u - 2 - 228*u - 34*u**2 in the form b*u + w + l*u**2 + z*u**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**2\/4 + 6947*z\/2 - 1441691\/4 = 0.\nAnswer: -13997, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1027 + -7.8973. What is the closest to 1\/4 in h, -0.2, -0.5, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*k**3 - 7*k**3 - 13*k**5 + (3*k + 8*k - 4*k)*(35 + 3*k - 53 - 4*k)*(-5*k**3 + 0*k**3 + 4*k**3)*(-1 - 2 + 1).\nAnswer: -27*k**5 - 252*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 1079096.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 225*d**2 + 915*d - 240. Determine r(-229).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101100 - -111011010?\nAnswer: 1010000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14446631 a multiple of 1782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 699084530 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f**2 + 5*f. Let h(q) = 6*q**2 - 4*q - 1. Let u(d) = 6*h(d) + 5*m(d). Let g(b) = b**2 + b - 7. What is 5*g(n) - 6*u(n)?\nAnswer: -n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1016213, 2033062, 3049911, 4066760, 5083609?\n\"Answer: 1016849*f - 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/2)\/3)\/(-12)*(-1422)\/(-632)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6119742521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1584)*-2 + -3 + 4 - (sqrt(1584) - (-1*(sqrt(1584) + -2) + sqrt(1584) - sqrt(1584)) - -4*(sqrt(1584)*5 - sqrt(1584)))**2.\nAnswer: -513224 + 840*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 4 + -6)*(0 - 0). Let t(q) be the third derivative of v*q**4 + 0*q + 0*q**3 + q**2 + 1\/45*q**5 + 1\/180*q**6 + 0. Factor t(u).\nAnswer: 2*u**2*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -14.3, 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11451, 25349, 41697, 60495, 81743, 105441?\nAnswer: 131589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1969826 divided by -1\nAnswer: 1969826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1097.248 tonnes?\nAnswer: 1097248000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/4, -2117\/5, 4, 0.2.\nAnswer: -2117\/5, -1\/4, 0, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.098 + -0.498. Let h = 1 - 3. What is the closest to 1 in h, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 k, and 1 e when three letters picked without replacement from {n: 1, e: 2, w: 2, k: 4, t: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s**(-1)\/s))**(-45))**41 assuming s is positive.\nAnswer: s**(-7380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 124*t + 273. What is v(-3)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -30197 < -30196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -38, 5, 3\/7, 2.\nAnswer: -38, -4, 3\/7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 28 = -4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81726 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**5\/10 + 5*t**4\/3 + t**3 - 3*t**2 + 13*t. Let n be q(-9). Let s = n - 71. What is the remainder when 60 is divided by s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85\/8 - (-612)\/1632.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**3*r**3 + 4*o**3*r + 4*o**2*r**4 + 18*o**2*r**2 + 6*r**3 wrt r?\nAnswer: 6*o**3 + 96*o**2*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1348, 1349, 1350, 1351, 1352?\n\"Answer: o + 1347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - (2 + sqrt(252) + sqrt(28))**2) + ((sqrt(98)\/sqrt(7))\/sqrt(2))**2*-5.\nAnswer: -487 - 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 16*k**2 + 2*k + 1. Let r be f(-1). Let a be ((-1)\/1)\/((-5)\/r). Let h(m) = -2*m + 11. Let x be h(a). Sort -2, 3, x in decreasing order.\nAnswer: x, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14799 + 15116. Which is smaller: 3 or d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 7:16 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-18) + 143\/(-44)\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 f when three letters picked without replacement from {q: 1, f: 8, u: 4}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*d - 3*x - 39, -5*d + 68 = 2*x. Calculate the smallest common multiple of d and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -379 + 391. Let t = -0.1012 + -0.3988. Which is the closest to 1\/6? (a) 3 (b) 1 (c) u (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 239.9667 + 0.0333. Let l = -239.99999928 + z. Round l to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1300) - (0 + sqrt(1300)*-1 + sqrt(1300)))**2*-2.\nAnswer: -15600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a - 9311 + 27*a + 9282 in the form i + f*a and give f.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrvwuwtvtzuv. What is prob of picking 1 t and 1 v?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k - 61 = -3*l, -50*l - 51*l = 5*k - 96*l - 35 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1454014 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -176, -251, -318, -377, -428, -471?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((268\/201)\/((-8)\/6)). Solve -d + 13 = 4*w - 6*d, w + 5*d + j = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*p + 0 = -25, -p + 16 = b. What is the units digit of (-2 + 22\/6)*b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102684186.2665 - -176.\nAnswer: 102684362.2665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80624 by -17.\nAnswer: 80624\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-5 - (-17 - (-6 + 3)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40840273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*q + 13. Let a(b) = b**2 - 6*b + 10. Let s be a(q). Let n(h) = 1 - s*h**3 - 2 + 7*h**3 - h + h**2. Give n(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(252))**2 - (sqrt(7) + (1*sqrt(448) - sqrt(448))).\nAnswer: -sqrt(7) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 30, 5, 14682 in ascending order.\nAnswer: -3, -1, 5, 30, 14682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-10))\/((-4)\/(-20)). Let m be 8*r*9\/27. Solve m = 5*w + 3*i - i, -4*w + 13 = -5*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28915 + -16855. Is i a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 1*(-20 - -2). Let p = 114 + d. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2344 (base 5) to base 3\nAnswer: 110221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.35 + -15.35. Let g = j - -11. Let c = g + 4.028. Round c to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3)*v)**(-32)\/(v**(-1))**(30\/11)*(v\/v**9*v*v*v\/v**(1\/13))**(1\/50) assuming v is positive.\nAnswer: v**(-543839\/10725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-2)*(11 + -9 + -4). Calculate the greatest common factor of 1 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 19*o**2 + 97*o + 103. Let m be a(-11). Solve -20*i + 17*i = -3*q - 30, 5 = -m*q - 3*i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-4))\/(3\/4). Let j(h) = 2*h + 3*h**v - 2*h + 2. Let u(o) be the first derivative of o**3\/3 + 15167. Give j(u(a)).\nAnswer: 3*a**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-4))\/(15*(-10)\/240). Suppose 5*c - c = h - n, -3*c = -5*h - 31. Let f(k) = k**2 + 9*k + 8. Give f(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7856 is divided by 539?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3ed7c (base 16) to base 13\nAnswer: -90214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120 - -134 - (23 + 3))*2*(-3)\/(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.37 + 0.03. Let i = 0.1 - z. Put i, -2\/7, 3 in ascending order.\nAnswer: i, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1637530)\/(-28 + 33)*-1*2\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -132*g**2 + 808*g - 20. Calculate x(6).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53535 = 1606*j - 361*j for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 3000*z**2 + 2*z**3 + 3000*z**2.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 minus 18245613168?\nAnswer: -18245613168.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 419\/795 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 - 6*h)*(-31 + 8*h + 31) + (3*h + h - 3*h)*(2*h - 2 + 2).\nAnswer: -46*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 2440 in descending order.\nAnswer: 2440, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) -1 (c) -112770 (d) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/120*(-4)\/(-6). Suppose 2\/5 + t + 4\/5*t**2 + c*t**3 = 0. Calculate t.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y + 7. Let c(g) = 9*g + 10. Give -5*c(h) + 7*d(h).\nAnswer: -3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6126)\/71470)\/((-8)\/(-10))?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 0*t - 1\/48*t**4 + 5 - 11\/3*t**3 + 1\/2160*t**6 + 0*t**2 - 1\/360*t**5. Let x(h) be the third derivative of y(h). Factor x(v).\nAnswer: (v - 3)*(v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37 - 10?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -117 - 464169.\nAnswer: -464286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179006825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(1\/5))*z)\/z*z**(-2\/9)\/z*(z**(2\/3))**(-18)*((z**1)**(-7\/4))**(-46) assuming z is positive.\nAnswer: z**(6037\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153543572 divided by -38385893.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 560818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 3:45 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**2 - 13380*r + 489584 = 0. Calculate r.\nAnswer: 37, 3308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by -73\nAnswer: 50\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (3 - -3)) + 10 + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87215, 173608, 260001, 346394, 432787, 519180?\nAnswer: 605573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1 + sqrt(500) + 4 + sqrt(500)*-2*4)**2 - (sqrt(20)\/(sqrt(28)\/(sqrt(7) - sqrt(7)*-1)) + 2))*4.\nAnswer: -5616*sqrt(5) + 196184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 6*x**2 + 8*x + 10. Let f be q(-5). Put -3, 6, -2, f in decreasing order.\nAnswer: 6, -2, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 5*k - 2*k - k**2)*(5*k - 2*k + 2*k + (2 - 1 + 1)*(0 + 0 - 2*k)) + (-4 + k + 4)*(0*k**2 - 2*k**2 + 4*k**2) + 14*k**3 - 34*k**2 + 34*k**2.\nAnswer: 18*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 - w**2 + 2*w - 4. Let i be k(4). Round i to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from aabaabaayayapypak?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, r: 3, b: 4, g: 7, z: 1}. What is prob of sequence rrgl?\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f**3 + 275*f**2 + 137*f**2 + 141*f**2 + 142*f**2 - 695*f**2.\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 1080.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 203 - 202.7. What is the nearest to -7 in m, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = c - 2*d, 3*d + d = -c + 24. Suppose -6*q - 6 = -54. Calculate the highest common factor of q and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {t: 2, s: 4, f: 1, o: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-42))\/(9\/21). What is the closest to -2 in 4, -0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2884*o**4 - 2*o**2 + o - 1441*o**4 - 1441*o**4 + 0*o**2 - 328 to v*o**2 + t*o**3 + r + m*o + u*o**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*q + 92, 4*q + 5*h + 26 = 94. What is the remainder when ((-514)\/10 - -1)\/((-6)\/20) is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 515.76, -17, 0 in descending order.\nAnswer: 515.76, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9072 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3670837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3639.8 - 3640. Put -4, 2\/51, a, -1\/3 in decreasing order.\nAnswer: 2\/51, a, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 687093 + -234430. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3150 and 2775?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/15 + (390\/9)\/2. Solve -3*q - h = -19 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(((-9)\/(-276))\/1). Suppose -4*v - 4*p = -i, -3*v + 3*p = 2*v - 75. Suppose 0 = -h + v + 14. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -175, 141, -0.021, 1?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10087688 and 11.\nAnswer: 110964568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/8)*z*z*z)\/(z\/((z**7\/z*z)\/z)))**(-5) assuming z is positive.\nAnswer: z**(-355\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 15) to base 6.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 10) to base 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -5. Let c = 111 + -111.2. Put n, -6\/5, c in decreasing order.\nAnswer: c, -6\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2346*f + 2361*f = 105 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p - 2*p + 0*p)*(-2*p**2 + 2*p**2 + p**2)*((-6 - 1 + 2)*(-19 - 32*p + 19) + 13*p - 7*p + 7*p) to m*p**2 + a*p**3 + r + n*p**4 + b*p and give n.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40217 - -128400. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = j + 627, 3*j = 3 - 12. Suppose m = 3*u + 42. Calculate the greatest common factor of u and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -14 - 22. What is the common denominator of (5 - -1)*(-54)\/(-40) and (159\/a - -2) + -2?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*j**2 - 40*j**3 - 104*j**3 + 9 + 146*j**3 - 3*j as l*j**3 + y*j + r*j**2 + n and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*g + 1418 = 0, -6*k - 2832 = -2*k + 3*g. Let h = k + 1276. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 + b**2 - 1. Let k be f(-2). Let w = -28090 + 28116. Suppose k*q = w*q - 63. Calculate the remainder when 42 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 4*s + 7. Let n(r) = r. Let b(h) = -h**3 - 5*h**2 + 5*h + 7. Let a(l) = -b(l) + 2*n(l). Let v be a(-5). Suppose v = -3*d - 10. Give m(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 78*d**2 - 167*d + 548. Give x(80).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 - -63.5\nAnswer: 62.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 227944720 to the nearest integer?\nAnswer: 15098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -1 + 6 + -8 + 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 4*a**2 + 4*a - 1. Suppose 0 = 4*s + 13 - 37. Let r = -10 + s. Let d be n(r). What is d rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 0 (c) 0.2 (d) -6 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -12. Suppose 2*x - 5 = -3*x. What is the lowest common multiple of s and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5170 is divided by 5127?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -130601\/18 + 7253. Calculate the common denominator of 7\/60 and u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2429 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 42?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 3:51 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*w + k + 102, -w = 4*k + 57. Let j = 109 + w. Suppose p + p - j = 0. Calculate the greatest common divisor of p and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 3*u + u**3 - 3\/2*u**2 + 2 - 1\/2*u**4. Let w(r) = -r**2 + r - 1. What is -c(a) - 3*w(a)?\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 26. Let k = 19 - n. Calculate the greatest common divisor of k and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (583*h - 554*h - 822*h - 1420*h - 524*h)*(-2 - 1 - 2).\nAnswer: 13685*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, d: 2, v: 12}. Give prob of picking 2 d.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -94*v + 269*v - 106*v - 107*v + 2*v - 5 + 5 + (v + 0 + 0)*(2 + 1 + 2) as l + u*v and give u.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 6*s - 3*j + 2168, -s - 2*j = -428. Is 2\/(24\/s) - 4\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnno when four letters picked without replacement from {n: 5, o: 7}?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from jywiw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 + 1 - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 - 4) + -2 + -1. What is the third derivative of 6*r**6 - 2*r**m - r**6 - 6*r**2 - r**2 wrt r?\nAnswer: 600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-8) - (-12)\/24. Let h = 9 - 6. Let n be 1*(-3 + (-4)\/(-2)). What is the second biggest value in n, w, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/261, 0.07, 3\/5, 0.2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 2*p - 12, -31*w + 35*w = -p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 327 - 213. Calculate the remainder when b is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1034*b**2 - b + b + 1002*b**2 in the form d*b**2 + h + p*b and give d.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22073791*q**3*x + 724406386*q**3 + 19*q**2*x wrt x.\nAnswer: 22073791*q**3 + 19*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - f - 15 = 0, -4*f + 36 = 3*y + y. Suppose -2*d + 11 = j, 3*j = -9*d + 10*d + 12. Suppose i - y = l - d*i, -4*i = -8. Solve 6 = l*b + b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17 - 9*n**3 + 8 + 22 - 17*n**3 wrt n?\nAnswer: -78*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -903787956.1 take away 0.3?\nAnswer: -903787956.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**6\/10 + 21*r**5\/4 + 173*r**4\/4 - 35*r**3\/2 - 261*r**2 + r + 1378. Find x, given that w(x) = 0.\nAnswer: -29, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 + 0*j**3 + 4*j**3 + (3*j**2 + 0 - 2 + 0)*((4 + 0 - 2)*(1 - 3 + 1) - 4 + 3 - 1 - 2 - 3 + 3)*(-2*j + j + 0*j).\nAnswer: 23*j**3 - 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-33))\/((-3)\/33). Is ((-15118)\/2 + -4)*(1 - o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -16 (c) 3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-10) + (-21)\/(-70). Determine f, given that 1\/2*f**5 + 1\/2*f**4 - 1\/2*f**2 + 0*f - z*f**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17\/12 + 1\/12. Let m = -3536.9 + 3700. Let x = -163 + m. Which is the closest to x? (a) -5 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4, -2*w - 4 = -3*t - 0*w. Suppose -t*h - 24 = 5*c, 4*h + 5 - 1 = 0. Let j be 36099994 + 3 + c\/((-12)\/9). Round j to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**5\/20 - x**4\/6 + 2*x**3\/3 + 3*x**2 - x. Let g = -13 - -9. Is m(g) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1228*x**2 + 90*x**2 + 842 + 138*x**2 - 375 wrt x?\nAnswer: -2000*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6 = k, -k = 4*y + 70. Is 12 a factor of y\/8*16\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -6 - ((2 - 3) + 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-644 - -604) + 7 + -5 + -5 + 1.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3462 + 3492. Suppose -3*f + 3 = 0, -m - f + 147 = -4*f. Calculate the highest common divisor of j and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3507 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/1472*69*16\/(-25).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2*2 - -146. Let b = 915 - 621. Suppose -490 = -8*s + b. What is the highest common divisor of v and s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3000)\/135*(-8)\/10. Let h = -199\/36 + i. Calculate the common denominator of h and -47\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/10 of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -215 by -6.\nAnswer: 215\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**2 - 183 + 2*b**3 - 307*b**4 - 4*b**3 + 221 wrt b?\nAnswer: -7368*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8668 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*y**2 + 48*y**2 - 343*y**2.\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35892 is divided by 88.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*z = -244*z + 1188107. List the prime factors of z.\nAnswer: 37, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 6:29 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-seven fifths of a kilometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**2*u*x**3 - f**2*u - 5*f**2 + 2844*u*x**3 - 10*u*x**2 + x**2 wrt x?\nAnswer: -18*f**2*u + 17064*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.8298 - -4.8. Round j to three decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + s**2 - 5*s + 1. What is u(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5199994229 to the nearest integer?\nAnswer: 1732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -2) + (-6)\/(-6). Let j(b) = -2 - 4*b**3 - 6*b**3 + 3 - 21*b**x. Does 8 divide j(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 1 - 5. Let k(o) = -26*o - 1 + 26*o + 2 - o**2. What is k(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 15 = t. Let f be ((-9)\/(-6) + -3)*-2. Solve f*g - 4 = t*o + 6*g, g = 2*o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476487 = -1715*q + 1710*q + 4*x, 3*x - 285876 = -3*q. List the prime factors of q.\nAnswer: 3, 5, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22793.42337 + -22793. Round l to three dps.\nAnswer: 0.423","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 190\/19*6\/10. Suppose -5*o = -5*b + 20, -g*b - 3*o - 12 = -b. Solve 4*w - 16 = -b*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.33 times 518.3\nAnswer: -171.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1544 (b) 5 (c) 1\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**2\/2 - 69515*f\/2 - 9417048 = 0.\nAnswer: -69243, -272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -3. Let z = w + -3. Let u be 2\/(-21) - 8\/24. What is the smallest value in -2, u, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8 + 5 = -t, 0 = -4*t - 12. Let f(q) = -251*q**3 + 2*q**2 - q - 2. Let m be f(2). Is m\/(-16) + 1 - v\/8 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 + 8*l. Let m(j) = -18*j + 1. Calculate m(w(b)).\nAnswer: 72*b**2 - 144*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 9:18 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2\/9 (b) 0.12 (c) 5 (d) 0 (e) 9.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*q + 38, -20 = -2*y - 4*q + 2. Solve 4*h + y = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1297, -2 in decreasing order.\nAnswer: 9, -2, -1297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7164 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -10*c + 30 + 31 + 18*c. Let u be d(-7). Let h(z) = -z. Let b(p) = 3*p - 1. Give u*h(x) + 2*b(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 14) in base 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/18)\/((-57)\/9). Let i = 349\/399 + s. Factor -6\/7*t**2 - i*t - 2\/7 - 2\/7*t**3.\nAnswer: -2*(t + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 e when two letters picked without replacement from {u: 1, q: 1, e: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -670 + 82. Is h\/(-8)*2\/3 - 4 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 7 = y + 12, -y - 4*i + 9 = 0. Suppose 0 = -3*r + 2 + 1. What is the remainder when r is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 5. Let k be (-21552)\/9 - n\/6. Calculate the common denominator of 39\/5 and k\/(-100) - (-2)\/(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -521 - 34. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2351442*n**3 + 19*n**2 + 9079100*n.\nAnswer: 14108652*n + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 9*s - 7. Suppose 0 = 10*y + 833 - 2513. Calculate the remainder when 7\/(y\/6) + (-326)\/(-8) is divided by c(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hclbhhcvh. What is prob of picking 1 v, 1 l, 1 c, and 1 b?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z + 2. Let m(f) = -1. Let p(n) = j(n) + 2*m(n). Let y(h) = 728 - 2191 + 727 + 736 - 9*h. Calculate y(p(r)).\nAnswer: -54*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1252 + 105520144?\nAnswer: 105521440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 + 173 - 6 + 160*g**2 - 70.\nAnswer: 160*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27574128 a multiple of 2088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 7:56 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 + -2. Suppose -q*d = -71*d + 35. Is -6 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -288229, -1152922, -2594075, -4611688, -7205761, -10376294, -14123287?\n\"Answer: -288230*m**2 - 3*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 855012022?\nAnswer: 2, 277, 1129, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 632 and 15241075?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 - -47. Let k = 22 + g. List the prime factors of (k*9)\/(54\/135).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*q = -42, 3*q + 33 = -2*u + 4*q. Let g = u + 128. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-8)*(-2)\/(-3)*-32. Solve 4*x = -5*o - 20, 0*x = -x + 4*o + s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -10*k + 7*k - 548974*k**2 - 548984*k**2 + 1097956*k**2. Let l be -1*3*4\/6. Let h(p) = -p**3 + 5*p**2 + 6*p. Calculate l*h(z) - 5*o(z).\nAnswer: 2*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -43 (c) -2\/7 (d) 58\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 3527360*o - 3527363*o = 12, 3*k = o + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5051828 a multiple of 965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498155221.\nAnswer: 163, 359, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(4032) - sqrt(4032)*1))\/((sqrt(12)\/sqrt(3)*-6 - sqrt(4)) + sqrt(4) + (sqrt(176)\/sqrt(11) - sqrt(4) - sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -171039078 rounded to the nearest 10000?\nAnswer: -171040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/2 + 27*r + 53\/2 = 0. What is r?\nAnswer: -53, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574*g - 35488 = 535*g for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4560?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00022117463 rounded to 7 decimal places?\nAnswer: -0.0002212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from giduuhh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2756692 is divided by 918880.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/4, -2903\/8.\nAnswer: -2903\/8, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 r when two letters picked without replacement from {b: 7, r: 12}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*2\/6*5. Let x be (42\/(-35))\/((-2)\/z). Suppose -q + 68 = x*q. What is the highest common divisor of q and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 122159*k - 122416*k - 2 to g + o*k and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -42. Let c(j) = j**3 - 14*j**2 + 20. Is 20 a factor of c(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -6. Let r = -1 + 1.5. Let v = 1 - r. Put -1\/2, q, v in descending order.\nAnswer: q, v, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3*sqrt(125) + sqrt(125)))**2 + -4 + -3 + sqrt(125).\nAnswer: 5*sqrt(5) + 12493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34\/17*(-4)\/2. Let f(c) = -c**3 - 5*c**2 - 7*c - 10. Let m be f(r). Suppose -m*w = 1 - 5. Solve -k - k = -w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 22*1.9\nAnswer: 41.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 8*p + 7. Suppose 9*i - 4*i = -20. Let b be (-135)\/18*i\/6. Suppose 0*v - 18 = 2*c - 4*v, v - 36 = b*c. Calculate m(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.5, 70369, -1?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*a**2 + 9*a**2 + 8*a**2 + 11*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 + 2754*l**2 + 91180*l - 193392.\nAnswer: 2*(l - 2)*(l + 36)*(l + 1343)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 2130400?\nAnswer: -2130341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159446 + -110359. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**6\/360 - r**5\/36 - 7*r**4\/72 - r**3\/6 + 12*r**2. Factor t(z).\nAnswer: -(z + 1)**2*(z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -30*n - 117. Let j be q(-5). Is j smaller than 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360866 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295 minus 60?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from bwzozw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 79155 or 79156?\nAnswer: 79156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, -2900\/179, 117 in increasing order.\nAnswer: -2900\/179, -4, -0.3, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f**2 + 2*f + 36. Determine q(-4).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/((-2*sqrt(21))\/sqrt(3)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374*d = -375*d + 5. Put d, -3, 404, -2 in ascending order.\nAnswer: -3, -2, d, 404","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**2 - 3*t**2 - 7*t**2)*(-3 + 1 + 1)*(-3 + 5 + 0)*(-6 + 2 - 2) to j*t + k + m*t**2 and give m.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -175, -358, -541, -724, -907?\n\"Answer: -183*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Suppose -5*u = g - 9, h*g = g + 1. Suppose -5*k = 5*j - 4 - 1, -u*k = -2. Solve -w - 5*c - 3 = 0, j*w = w - 5*c - 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 238 - 170 = 0. Let o be (20 + x)*1\/(-27). Which is the closest to o? (a) 1 (b) -0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1202 - -1294. What is the second smallest value in 5, c, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 f, and 1 g when three letters picked without replacement from fmvvvgfevgvme.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - 2*k + 3. Let o be s(-3). Let m = -9 + o. 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: Put 0, 555, 4, 3 in descending order.\nAnswer: 555, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 - -1.5. Let t = 0.8 + g. Let v = 11.5 - 12. What is the nearest to 0 in t, 0.2, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = 2*c - 225, 96*c - 5*s = 93*c + 245. Let h(a) = 2*a**2 - 10*a - 1. What is the lowest common multiple of c and h(10)?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 8*g + 24. Let w be (2*1)\/(5 + -3). Is w at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + f - 9. Let o be u(0). Which is bigger: o or -11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 33. Let s = c - -37. Suppose -a = -22 - s. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 1 = 4*p + 3, -5*l + 7 = p. Suppose 10 = l*n, -o = 4*o + 5*n + 1005. Let b = o - -443. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*p = -67*p - 44 + 560 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -152, -302, -452, -602?\n\"Answer: -150*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8549 - 8542. What is the biggest value in x, 0.01, -2\/47?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + -1b1f7?\nAnswer: -1b202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mum when three letters picked without replacement from qqqqmuqqmqmqmq?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2431097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6 + 36753409023.16.\nAnswer: 36753409025.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/8 and 145\/105108.\nAnswer: 210216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 36 = n, 4*a - 4*n - 53 = -n. What is the highest common divisor of 44 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuuuuupup?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**5\/20 - z**4\/2 + 29*z**3\/6 + 10*z**2 + z - 18. Let n be t(-15). Round n to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73.71 + -0.71. Let a = -74.39 + s. Let b = 1.3823 + a. What is b rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*1*11\/(-22). Let r = 30 + -21. Suppose -3*c = -0*c - r. Solve -s*n = c*n - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2\/4 + 4*o - 16 = 0. Calculate o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -776, 9\/1081, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -74\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -125 (b) -50 (c) 5.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13051 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 14*i**2 + 22*i + 56. Let x be w(-12). Is (-818)\/(-10) - (-16)\/x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**2 + 434*l - 2292. Determine x(103).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 8*d**4\/5 + 68*d**3\/5 + 4*d**2 - 96*d\/5 = 0?\nAnswer: -8, -3\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -95 - (1 + -5 - 0)) + (-174 - -175)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20992 less than or equal to 146940\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 6)*(31*o**3 - 6*o**4 + 7*o**4 - 3*o**4).\nAnswer: -2*o**4 + 31*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -19, 114 in decreasing order.\nAnswer: 114, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.301 - -3.263. Let b = s + 8.478. Let c = b + -12. Round c to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 118 - 111. Suppose t*p - 1184 = 2316. Round p to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l + 66. Let f = -74 + 34. Let k = l + f. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 15. Let h(m) = -25*m - 6. Is h(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12002110210 - -11?\nAnswer: 12002110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18a2543 (base 12) to base 8.\nAnswer: -23625203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18712 and 810107972?\nAnswer: 9356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13197993821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*t**2 + (0*t**2 - 3*t**2 + 2*t**2)*(1 - 3 + 1) + 6*t + 6*t**2 - 6*t.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 4*z**5\/5 + z**4 - 2*z**3\/3 - 9*z. Let u(p) = 0. What is p?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - (0 + 3) - (-19 - -27 - 38 - -38).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 + -61. Which is the closest to -1? (a) 0.5 (b) -4\/9 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2*12\/(-8) - 3)*-1. Suppose 0 = b + 1, 0 = -z*k + 3*k + 3*b - 69. Suppose -2*a + 53 = -7. What is the lowest common multiple of k and a?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010 - 101011001101011?\nAnswer: -101011010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9556\/35 + -1858\/7. Which is greater: y or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -16. Solve 0 = -v + 2*f - 11 - 0, 5*v + s*f = 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 5*b - 3. Let v(x) = -x**3 + 8*x**2 - 17*x + 77. Suppose 5*u + 0*u - 40 = n, -5*u - n = -30. Let o be v(u). Determine a(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 7) to base 10\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.2 - -3.8. Let f = -4.5 + r. Which is the second smallest value? (a) -1 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -11*t**4 + t**3\/3 + t**2 + t + 1. Suppose 5*h = -25, -5*c + 3*h = -3 - 7. Let i be m(c). Round i to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -259 + 2069. What is the second derivative of -881*u**2 + o*u**2 - 204*u - 763*u**2 wrt u?\nAnswer: 332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.67*7.\nAnswer: 4.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22 - -8)*(-2)\/4. Suppose 3*f + 6*k - 3*k = 15, a = 3*f + k. Suppose s = f, 2*p - 314 = 3*s - 7*s. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 81*o**2 - 791*o - 13045. Determine w(66).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-50)\/(-18) - (-6)\/27. Suppose -4*z - 3*n + 5 = -2*n, 5*z + n = 5. Solve p*d + 9 - 24 = z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 1 + 3 + 1. Let c(u) = u**3 - 5*u**2 + 3*u - 6. Let t be c(s). What is the units digit of t + (-1 - -2)*0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 12. Let u = 33 - f. Does 34 divide -1*((0 - u) + 4) - -100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34478237713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r - 4*r. Suppose -2*b + r*w - 3*w = -205, 2*w = 4*b - 370. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 2*h**2 - 23. Let i be u(4). Sort -5, i, -27, 4 in ascending order.\nAnswer: -27, -5, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -5*v**7\/21 + 169*v**3\/6 - 154*v. Find the second derivative of g(t) wrt t.\nAnswer: -200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.4 + -55.6. Let f = j - -62.94. Let r = f + 0.06. Which is the second smallest value? (a) r (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -110 + s - 3*s - 110 + 220. Suppose -12 = -d - 4. Let a(o) = d*o + o - 3*o. Determine a(k(h)).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/8)\/(y*y\/(y\/y**(-7))))**(-4\/7)\/(y**4\/y**(-2)*(y**7\/y*y)\/y*y\/y**(-2\/11)) assuming y is positive.\nAnswer: y**(-2547\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s = 4*b + 26*s - 30552, 0 = -b + 4*s + 7638. What are the prime factors of b?\nAnswer: 2, 3, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + 4*k - 34*k - 42*k in the form l + d*k and give d.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*(sqrt(288) + -5 + sqrt(288)) + 6*(sqrt(288) + (0 + sqrt(288))*6))**2.\nAnswer: -129600*sqrt(2) + 1498617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1338313, 3, 0.\nAnswer: 0, 3, 1338313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 1 - h**3 + 4*h**2 - 4*h**2 + 5*h + 4*h**2. Let a(d) = d**2 + 5*d + 5. Let c be a(-5). Let t be b(c). Sort t, -1, 3 in descending order.\nAnswer: 3, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*k + 2063512 = -69*k + 135*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 305.4487 millilitres?\nAnswer: 0.3054487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -24*s + 27*s + 5*t, -2*t = 2*s - 28. Solve -7*n - 11 = -3*i - 9*n, 0 = 3*i + 4*n - s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1849, 3754, 5661, 7570, 9481, 11394, 13309?\n\"Answer: b**2 + 1902*b - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*o - 11. Suppose -9 = -z + 5*g, o*z + g - 28 + 9 = 0. Suppose -z*i + 3 = -53. Calculate the lowest common multiple of i and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 5*i + 4. Let t be m(-4). Suppose t = 4*p + 12 - 20. Let q(x) = -x - 2. Calculate q(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, n: 4, c: 4, j: 1, b: 1, i: 5}. Give prob of sequence jbq.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*i**2 - 6*i**2 + 2*i**2 + 42*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266018, -1063859, -2393512, -4254971, -6648230, -9573283?\nAnswer: -13030124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-862373.\nAnswer: -258711.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uquijiiiiiifif. What is prob of picking 1 j and 1 i?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/36 and 1533\/6*(-18)\/(-252) + -7.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 26*u + 300 = 0. What is the highest common factor of 30 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 180*r**2 + r**4 + 4 + r - 8*r**3 - 180*r**2 - 2*r**4 as f*r**2 + i + c*r + s*r**4 + p*r**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 36*m + 805. Calculate k(-22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -557 - -557.2. What is the closest to 0.2 in -0.1, n, -0.34?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 4*w + 8. Let b be z(-6). Let f(n) = -2*n**2 + 3*n + 2. Let o(r) = 3*r**2 - 4*r - 3. Give b*f(g) - 3*o(g).\nAnswer: -g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 35\/(-21)) + 48\/36.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -277*o + 284*o. Let r(c) = c**2 + 5*c - 8. Give r(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 30 = 5*o, 7 = -3*c + o + 37. Let a be 4\/(-7)*c\/36. What is the nearest to -0.1 in 7, a, -3\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3 - 5*h**2 + 6*h = 0. Calculate h.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.038583962?\nAnswer: 0.0077167924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2743 is divided by 687.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 33 = -3*h - 3*a, -3*h - 4*a + 22 = 0. Suppose -4*l + h = -l. Let o(i) be the second derivative of i**4\/12 - 240*i. Calculate o(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**3 + 21*z**2 - 3*z - 3. Determine v(4).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**3\/3 - 3*f**2 - 11*f. Let o be p(-9). Solve 3*z = 6*z + o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o + 50. Let f be x(11). What is the common denominator of 100*(f\/44)\/3 and 79\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 5*j - 15. Suppose 5*b = -t + 67, -b = -4*b + j*t + 51. Let n be 5\/2*(-592 + 590). Put b, 1, n, 0 in decreasing order.\nAnswer: b, 1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-20)*33*(-150)\/(-5940)*-8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.01 + -8. Let v = -0.011 + o. What is v rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide (-50)\/(8\/(-16)*6\/27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -4 (c) 3285039\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u. Let g(l) = 1. Let w(x) = -7*x + 2. Let b(h) = -2*g(h) + w(h). Calculate d(b(s)).\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-6 - -174)\/2. Calculate the highest common factor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 241.2327 * -0.2.\nAnswer: -48.24654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 513827346 divided by -1.\nAnswer: -513827346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -187368*c**2 + 401*c + 146 wrt c.\nAnswer: -374736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 12. Let k be o(-14). Suppose 3*p + k*p = 75. What is the least common multiple of p and 7?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3167*k**3 + 829*k + 6677519.\nAnswer: 9501*k**2 + 829","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/30)*v)\/(v*v\/(((v*v\/(v*v\/(v*v**(-2\/15))))\/v)\/v)*v))\/(v**(-9)\/((v*v\/v**(16\/7))\/v*v)) assuming v is positive.\nAnswer: v**(393\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 529.58 * -77.\nAnswer: -40777.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1534\/52 + -29)*110.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5147960 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 2*s**3\/3 + 5*s**2\/2 + 14*s + 4862. Let u(h) be the first derivative of -h**3\/3 - h**2 - 7*h + 1. Give 2*k(z) + 5*u(z).\nAnswer: -z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 8*b**3 + 5*b - 5. Let h be 6\/(-3*5\/60). Let j(y) = 19 - 24*y - 39*y**3 + 12 + 0 - 7. Calculate h*k(v) - 5*j(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10111110000111011101001 (base 2) to base 9\nAnswer: 12644530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 145248 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -450306 divided by 6.\nAnswer: -75051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -372153 at most as big as -372150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 9:15 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, 4, 0.234, 0.4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t - 19*t + 96 = 0. Put 1, 0, 5, t in descending order.\nAnswer: 5, t, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -12377 in increasing order.\nAnswer: -12377, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 3. Let u(r) = -12*r**3 + o*r**2 + 13 + 94*r**3 - 4*r - 14*r**2. Is u(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 235079 and 29159.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2 (b) -0.5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 + -149. Let p = i - -207. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y**2 + 6*y**2 - 234 + 234.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -182 - 154. What is the remainder when 75 is divided by f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 26*k**3 + 4088*k**2 - 942760*k - 1901664 = 0.\nAnswer: -284, -2, 1674\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 107007890 and 30?\nAnswer: 321023670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.276 - -0.3. Let x = -0.076 - -0.352. Let g = p + x. Which is smaller: -3 or g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26\/(-10) - 0 - -3. Let v = 6.3 - 6. Suppose 34 = -5*i - 3*p, 4*i + 35 - 3 = -4*p. What is the closest to k in v, i, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(37*s + 16*s - 13*s + (5 - 3 - 3)*(s + 1 - 1) + 0*s - 3*s + s).\nAnswer: 74*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bstttktbetttktktttt. Give prob of sequence ke.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w = -16*w + 5880. Let f be ((-2)\/(-6))\/((-3)\/(-234)). Let r be -1 + 1 - (-2 - f). What is the highest common divisor of w and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + -210?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2014100 rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (22 - -2)*8\/16. Sort m, 0, -5 in increasing order.\nAnswer: -5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22\/25*q**2 - 624\/25 - 596\/25*q.\nAnswer: -2*(q + 26)*(11*q + 12)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 46 = 46. Solve 8 = -2*m - i, -2*m - 6 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-4)*2 - -2. Let a be 1*(-75)\/(c + 2). Let g = a + -42. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2929*a**2*h + a**2*i**3 + 10*a*i**2 - h*i**3 + 6*h*i wrt a?\nAnswer: -5858*h + 2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/6, -14, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -514169, -514185, -514201, -514217, -514233?\nAnswer: -514249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m. Let w(k) = -9*k. What is w(j(f))?\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a529a + 2?\nAnswer: 1a52a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2281829 and 1123793.\nAnswer: 3113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 175577325 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 729789 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-24)\/15)*(-795)\/(-636). Sort -12, o, 1\/7 in decreasing order.\nAnswer: o, 1\/7, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 + -62. Let i be 9\/1 - 2 - 3. Solve 9*o - i*o + t = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9690 - 917?\nAnswer: 8773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.3 (b) 7 (c) 2 (d) -5 (e) -0.16 (f) 24\/7 (g) -135\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/679 - -14902\/6111. Let z = v + -101\/45. Suppose 0*a = 3*a. What is the nearest to a in -2\/5, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 48*h**3 - h**2 - 2*h - 1. Determine r(-1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 2*w - 1, -400*v = -405*v + w - 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.72 (b) 0 (c) 2\/53 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-3 + (-21)\/(-9)). Let m(z) = z**3 - 9*z**2 + 8*z + 3. Let d = 90 + -82. Let x be m(d). Solve x*g + 5 = -2*p, -5*g - 24 = -i*p - 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j + 99. Let k be g(24). Factor 0 - 4\/3*d**k + 2\/3*d**2 + 4\/3*d - 2\/3*d**4.\nAnswer: -2*d*(d - 1)*(d + 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3*-3*1. Let p be (11\/(-3))\/(m\/6). Let x = 34 + p. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = 14*z - 143. Sort z, 4, 9, 5 in descending order.\nAnswer: 9, 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 14*b - 113. Is r(37) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*c - 17 + 25, -4*a + 4*c = -44. Calculate the least common multiple of -3*(-52)\/12*1 and a.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 + 2*t - 2*t + (-2*t**3 + 0*t**3 + 0*t**3)*(1 + 0 + 0) + 10*t**2 - t**3 + 36*t**2 - 11*t**2.\nAnswer: -5*t**3 + 35*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - -34 - (10 + 17)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 449*x - 2649. Calculate the remainder when 1027 is divided by p(6).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 3*x**2 + 2185*x - 22636. Determine a(10).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 56204 = 446578. What are the prime factors of t?\nAnswer: 2, 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-468)\/(-54) + 70\/21. Let o(t) be the second derivative of -1\/10*t**5 + 0 - a*t + 0*t**4 - 7\/2*t**2 + 0*t**3. Differentiate o(r) wrt r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*y - 4*h, 6*y + 2*h = 7*y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, a: 6, l: 2, i: 2, e: 4, w: 1}. What is prob of sequence lfl?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 2, 15, 4, -8, 0 in ascending order.\nAnswer: -8, -4, 0, 2, 3, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4065733, -4065669, -4065563, -4065415, -4065225, -4064993, -4064719?\nAnswer: -4064403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*a + 15, -a = -x - 4*a + 20. Let u = -4 - -4. Suppose u = 2*v + 6, 0*h - 2*v - 1181 = -x*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w - 27*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) -5 (c) 7 (d) 1\/6 (e) 3\/11 (f) -15\/16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-80)*-16*(-1363)\/(-812)*-35.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116 - 116 - 37*u**2)*(0 - 3 + 4)*(1 + 0 + 0*u + 3*u).\nAnswer: -111*u**3 - 37*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + 0 + (4 + sqrt(468) + -1 - (sqrt(468) - ((sqrt(468) - (sqrt(468) + 0)) + 4)))))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 19 = -3*m + 5*v, -2*m + v + 4 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4716 divided by -21710?\nAnswer: -2358\/10855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338299 is divided by 112751?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621898 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**4\/6 + 2618*v. Let l(s) = 3609*s. Give d(l(i)).\nAnswer: -26049762*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*(6*(sqrt(84) - (sqrt(84)*2 - sqrt(84) - sqrt(84)))*2)\/(5*1*sqrt(12) - (sqrt(24)*-2)\/sqrt(2)).\nAnswer: 144*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 38 - 28. Suppose 127 = o*y - 247. Is 18 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 193 - 192.881. Let y = -0.04 - -0.01. Let s = d + y. Round s to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/2)\/(-1) - -1. Suppose -22*n = -24*n - 8. Sort -3, v, n.\nAnswer: n, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -51*t**4\/4 + 92*t**3\/3 - 185. What is the third derivative of k(w) wrt w?\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (116\/(-609))\/((-12)\/9).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/9, -12, 12\/7, 0.12, 105?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4 - (-15)\/(-22). Let t = -42627 - -42632. Which is the second biggest value? (a) -0.4 (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from mpmqxqxe?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/6*(-8)\/((-128)\/24).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22564 and 1144?\nAnswer: 6453304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-18) + (-3922)\/(-477) - 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1090 or 0.9?\nAnswer: -1090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 269730 and 513.\nAnswer: 5124870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0.09, 307 in decreasing order.\nAnswer: 307, 1\/5, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 - (-3)\/(5 + -6). Let n(z) = -z**2 - 7*z - 2. Let t be n(-5). Factor t*m**4 - 28*m**k + 9*m**2 - 8*m**3 + 0*m**4 + 6*m + 13*m**4.\nAnswer: 3*m*(m - 1)**2*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*v = -50*v. Let i(u) be the third derivative of -8\/3*u**3 + 2*u**2 - 1\/120*u**6 + v*u + 0*u**4 + 0*u**5 + 0. What is the derivative of i(z) wrt z?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 406*v**2 + 39*v + 252. Is n(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-8))\/((-285)\/456) - 23.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -744 * 263545.\nAnswer: -196077480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 256728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 81216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*h + 7. Let v = 12 + h. Suppose -s - 4*s = -d + v, 3*d = 4*s + 42. Calculate the remainder when 27 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**4 + 0*n**3 - 4*n**3 + 11*n**3 - n - 2 wrt n.\nAnswer: -24*n**2 + 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46540 = -15*c + 67*c. What are the prime factors of c?\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.44?\nAnswer: 0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 319 * 3\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -106, -111, -120, -133?\n\"Answer: -2*c**2 + c - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 232*v**2 - 13*v.\nAnswer: 464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6147*x**3 - 35345*x wrt x.\nAnswer: -36882*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -9337\nAnswer: 3\/9337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 5*q**2 - 46*q + 116. Determine c(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 1. Let a(k) = k**2 - 42*k + 120. Let w be a(3). Suppose -3*o + 146 = -0*o - p, x*o + w*p = 90. Is 48 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ptztpjujuzutbzj. Give prob of picking 1 u, 1 p, 1 b, and 1 z.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**3 - 19*l**2 - 15*l + 16. Let x(n) = -3*n**3 + 18*n**2 + 16*n - 16. Let w(y) = 2*p(y) + 3*x(y). What is the units digit of w(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 39 + -73649c?\nAnswer: -736463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43042 (base 5) to base 15.\nAnswer: cd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2492*y - 127. Suppose g + 23 = -4*m, -2*g - 17 + 6 = 3*m. Is o(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 6. Let l(k) = 38*k + 25 + 39*k + 2*k**2 + 21*k**2 - 5 - 87*k. What is the units digit of l(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865812205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by 2700331?\nAnswer: -64\/2700331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 4220202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0324748728 to 4 decimal places.\nAnswer: 0.0325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + -30200310?\nAnswer: -30200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -db4596 (base 15) to base 5.\nAnswer: -10133143031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -329\/3 or -109?\nAnswer: -329\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4122816248.\nAnswer: 2, 515352031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.9 - -3. Let r = s - 0.2. Let m be (-86)\/(-430)*(-1)\/((-24)\/15). What is the second smallest value in r, -2, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/408632 and 31\/350256.\nAnswer: 2451792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 312, 313, 316, 321, 328, 337, 348?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b - 3. Suppose 2*m - 456 = -2*m. What is the tens digit of m\/4*(-2)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*h + 36 = 0, 4*h - 5 = p + 7. Let n(s) = -35*s**3 + 4 + 60*s**3 + 4*s**2 - 24*s**3. Let q(m) = 3*m**3 + 11*m**2 + 11. What is p*q(i) - 11*n(i)?\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - m - 2*m**4 + (-5*m**3 + 4*m**3 + 2*m**3)*(3*m - 5*m + 3*m) - 2 + 82*m**4 - 2*m**4 + 69*m**4.\nAnswer: 148*m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 365? (a) 845 (b) 0.2 (c) 0 (d) 1 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*b**2 - 20*b**2 + 89*b**2)*(-b + b + b - 1).\nAnswer: 83*b**3 - 83*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13233100 (base 4) in base 13?\nAnswer: -11572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -2 - (3 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316516648.\nAnswer: 2, 7, 37, 173, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 + 2*z**2 + z**2 + (4 - 4 + z)*(0 + 0 - z) - z**2 - 3 + 3 + (43*z - 4*z - 6*z)*(-1479 - 77*z + 1479) - z**2 + 3*z**2 - 4*z**2.\nAnswer: -2542*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-72)*1\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-1\/4))\/g)\/g)\/g*g)**(-14)*(g*(g**(2\/19)\/g)\/g)\/(g*g\/(g*g**1\/g)) assuming g is positive.\nAnswer: g**(593\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001267 rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 1)\/(3\/4). Let c = 1 - j. Let y(k) = 2*k**3 + 73*k**2 - 35*k + 73. Let x be y(-37). Sort x, c, 3 in decreasing order.\nAnswer: 3, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1326 and -24\/2015.\nAnswer: 205530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/520*-8*40\/280*(-2)\/2.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 719*k - 40. Let n be h(7). Suppose -5*v + n = 2*a + a, 0 = -a - 4*v + 1655. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y + 30. Give n(14).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 31*w + 1 = -26*w, -5*m - 2*w - 12 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**6\/600 - f**5\/150 - f**4\/120 - 14*f**2. Factor i(k).\nAnswer: -k*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (-4 - -61 - 64)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, 476, 2\/19?\nAnswer: 476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -9. Let c(y) = -6*y**3 + 7*y - 8. Let z(f) = 5*f**3 - 6*f + 7. Determine t*c(x) + 7*z(x).\nAnswer: -x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23918*v - 23915*v - a - 27 = 0, 4*a = -5*v + 45 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538020 = -12*y + 49980. What is y rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 2*i - 2. Let s be n(-2). Let q be (-8)\/12 - s\/(-6). What is the units digit of -46*(-3 + q - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120897000 and 193435200.\nAnswer: 967176000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 199*f - 3368. What is l(18)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 13 = -3*h, 3*x + x = -5*h + 86. What is the highest common factor of 95 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -297301290 divided by 28095.\nAnswer: -10582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 6)\/1 - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/(sqrt(54) - sqrt(6)))\/(sqrt(66)\/(sqrt(11) + sqrt(11) + sqrt(55)\/sqrt(5))))**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + -1 + -180 + 179\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -263 - -236 - (2 + -14).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 184450 and 656.\nAnswer: 60499600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10*(11 + -26). Suppose -o + 11 = -d*o - b, 5*o - 4*b = -6. Which is smaller: o or 40?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - a. Let b(k) = 20*k**2 + 2*k. Let c(u) = b(u) + 2*m(u). Let j(l) = -37*l**2. Let f(y) = 16*y**2. Let d(h) = 14*f(h) + 6*j(h). What is d(c(x))?\nAnswer: 648*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*t + 4*t - 2*t - 6*t to y + h*t and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 916730, 1833458, 2750184, 3666908?\n\"Answer: -m**2 + 916731*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/((-112)\/(-224))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300252264?\nAnswer: 2, 3, 13, 683, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*c + 10, 8 = 4*n + 7*c - 2*c. Suppose n*h = 7*h - 20. Suppose 3*x - 5*d + 6 = 2, -h*x = 2*d - 38. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/12 and 35\/51.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-1485)*(-4)\/((-4)\/(-3))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 - -2. Let g = -4 + 4. Let k = g - -0.1. Which is the nearest to k? (a) d (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1624\/296 + 56\/(-28). Are 4 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/5 - (-62)\/5. Suppose 4*h - l + 4 = 0. Solve 3*j = -y + 8, 0 = -h*y - 6*j + j + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -61, 1, -1, -1769?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23286661?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*t + 144*t + 31*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 47264?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/30)\/9*(-598 - -572).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 39*a = -3293150. Let j = a - -9409101\/100. Find the common denominator of -71\/40 and j.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4864.1*-10.5.\nAnswer: -51073.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 22*q + 35. Let h be d(-20). Let x = -107 + h. Let m = x + 38. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -6 + (2 + 9 + -7 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 20*d**3 - 5 - 7*d**3 - 12*d**3 - 5*d + 5*d**2. Let v be 2 + 0 + 2*5. Let q(i) = -3*i**3 - 12*i**2 + 12*i + 12. Calculate v*y(s) + 5*q(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*c**2 + 40*c**2 + 46*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.162, 4, -122?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 7*b**2 + 16*b + 10. Let w be v(9). Suppose -3*a + 324 = j, 0*j - 5*a = j - w. Does 48 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2814 + 2821. What is the biggest value in 1.2, 0.3, -5, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 798*s**3 - 20*s**2 + 12*s + 16. Give f(-1).\nAnswer: -814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 21*z**2 + 8*z + 7 - 6*z**2 + 0. Is n(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4810*c*v**4 - 3*c*v**3 - 23*c*v - v + 151 wrt v?\nAnswer: -57720*c*v**2 - 18*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 436, 2, -1.\nAnswer: -1, 0, 2, 436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + i + 23. What is the remainder when t(0) is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51081374.\nAnswer: 2, 59, 432893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*b - 4*h, -3*b - 43 = b + 3*h. Let a be (-544)\/b - (-10)\/(-25). What is the highest common factor of 36 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 78961 - 5?\nAnswer: 78958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 58*l - 48*l. Suppose s + 1 = 0, 22807 = 2*m - 20*s + l*s. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (1 - (-4 + -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/82111263?\nAnswer: -1\/82111263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 245\/(-1421)*(-2233)\/154?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 7. Let s(j) be the first derivative of -j**4\/24 - 15*j**2\/2 - 2. Let d(l) be the second derivative of s(l). Determine c(d(b)).\nAnswer: 2*b - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6 = 4. Solve -i*a - 2*x - 12 = -6*a, 3*a - 2*x - 10 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1870 and 161874?\nAnswer: 8903070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -594.6 - -569.698. What is r rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**4\/24 - i**3 - 12*i**2. Suppose -g - 3*g - 32 = 0. Let q be 3\/12 - (-2)\/g. Determine m(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, z: 4}. Give prob of picking 3 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 30 = -3*m, -5*c + 4*m + 13 = -39. Suppose -17 - 19 = -5*k + u, 3*k - 3*u - c = 0. Calculate the least common multiple of k and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4 - 7 = 3*a, 0 = 4*a + 2*m + 4. Suppose 8 = 2*d + 4. Let r(v) = -v - 2. Let w be r(-5). Put a, d, w in decreasing order.\nAnswer: w, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -405115031 (base 6) in base 3?\nAnswer: -111002200221201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -288.024 + 295.5. Let d = 7.5 - i. What is d rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, a: 4, w: 1, h: 2, z: 7, u: 1}. What is prob of sequence hz?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(105)\/(sqrt(5)*-1))\/(4*sqrt(63)) + sqrt(243)\/(sqrt(9) + sqrt(9)*1) + sqrt(27) + (sqrt(27) + 3 + sqrt(108)\/sqrt(4) - sqrt(27))))**2*4.\nAnswer: 178*sqrt(3) + 8353\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25 + 12*d - 25 + 1 - d - 1 + (-4 + 3 + 2)*(0*d + 0*d - d) + 1327 - 2*d - 6 + 513.\nAnswer: 8*d + 1834","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*h - q, -14925*q + 14928*q + 24 = 3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6762 - 63.2362. What is c rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25*-16.2\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 180 = -b. Let a = b - -79. Suppose n = 2*m + 41, m + a = n + 2. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 991*j + 1205*j = -19*j - 13945 - 68010 for j.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-60))\/(514\/(-13878)).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 121.97542*-4\nAnswer: -487.90168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 z when three letters picked without replacement from qzqqqqqqzqqzqz.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -196983084, -196983083, -196983082?\nAnswer: -196983081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24714 and 30206?\nAnswer: 271854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 91*b**4\/8 - b**3\/6 - 4*b**2. Is g(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -8 - (-3 - (-3 + -14)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.4 (c) 0 (d) 0.63 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5313256901 to the power of 1\/2, to the nearest integer?\nAnswer: 72892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 349*h**3 - 47*h**2 + 2*h - 16. Let b(k) = k**3 + 13*k**2 + 4. What is -a(j) - 4*b(j)?\nAnswer: -353*j**3 - 5*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c + 145 = -8*c. Suppose 49 = c*h - 11. Calculate the highest common factor of h and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 + 188 - 16*s**3 + 2*s**2 - 192 + 13*s**3. Let i(n) = -8*n**3 - 11. Let o = -6 - -8. Suppose o*f + 6 - 14 = 0. Give f*i(l) - 11*w(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1370005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483 + 1514 = 5*m + 2*d, 6*m = -4*d + 2398. What is the greatest common divisor of 665 and m?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(432))**2 - (sqrt(432) + 1)*-2.\nAnswer: 24*sqrt(3) + 10802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*o + 25*o - 3 - 153*o - 154*o + 3.\nAnswer: -247*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/4 + 63*y**2\/4 - 90*y + 75.\nAnswer: -3*(y - 10)**2*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 896?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*a**3 + 230*a**3 - 612*a**3 - 2*a**4 - 85698*a - 86526*a**2 - 480*a**3.\nAnswer: -2*a*(a + 1)*(a + 207)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 79 - 80)*(-1 + 2*z + 1) - 2*z + 0*z + 0*z.\nAnswer: -274*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 1. Let h(j) = -1. Let g(k) = -6*k**2 + 4*k**2 - k**2 - 136 + 2*k**2 - 6*k + 2*k**2. Let p be g(15). What is p*h(i) - 3*o(i)?\nAnswer: 3*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -e3 (base 15) to base 12\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817628981?\nAnswer: 13, 73, 431, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 588076253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/6*(-2)\/(-3). Let j(b) = 10*b - 2*b + 3 - 9*b**2 + v + b**3 - 2. Determine j(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 54.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/31 - 3282\/16*39*624\/94302.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a day in hours?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*a**2 - 159*a - 102.\nAnswer: -3*(a + 17)*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9462 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 287.4 + -255. Let r = 19 - f. Let b = 4.1 - r. Round b to 0 decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829 is divided by 757.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2212690671 and 5598?\nAnswer: 2799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-3))\/(8\/24). Let j = 21 - o. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4726 = 17*m + 731. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 6:25 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(4) + 0 + -4 + (sqrt(275) - (2 + sqrt(275) + sqrt(275) + 1)))**2.\nAnswer: 56*sqrt(11) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*w = -5*a + 34*w + 5, -7 = -a - 4*w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 234*c - 1736.\nAnswer: 2*(c - 7)*(c + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125\/14 - (-12)\/168.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 - 21433.\nAnswer: -21431.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -1 + (-132)\/(-4). Suppose f + 3 = -0*f + 2*h, 3*f + 5*h + s = 0. Let a = f + 12. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 6:25 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3827*q - 3886. What is w(-1)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(567) + -1 + 5)**2.\nAnswer: 90*sqrt(7) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -1\/24*c**4 + 5\/12*c**3 - 4 + 4*c + 0*c**2. Factor n(i).\nAnswer: -i*(i - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 518\/335 + -117\/67. Which is the fourth smallest value? (a) 1\/5 (b) p (c) -28 (d) -3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0. Let b = 9 + -5. Suppose -b*g = -g. Which is greater: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 1, 63603673 in ascending order.\nAnswer: -5, 0, 1, 63603673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwjwwww. What is prob of picking 2 j and 1 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 6. Let x be m(0). Let y(c) = -c**2 - c - 1. Let u(i) = -8*i**2 + 0*i + 11*i**2 + 3 - 4*i + 0*i. Let r(d) = u(d) + 2*y(d). Determine r(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-2) - -5)*44\/(-110). Let w be d - -5 - (-1)\/((-14)\/48). Which is the closest to -2\/5? (a) 0.4 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from {d: 1, z: 3, q: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3192.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 60. Let f be l(0). Let k = 386 - 327. Calculate the remainder when k is divided by ((-26)\/(-65))\/(2\/f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 11, 4, -23, 0 in increasing order.\nAnswer: -23, -8, -1, 0, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12301 (base 5) in base 7?\nAnswer: -2526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*b + 226*g - 223*g, b + 12*g - 61 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -3) + 6 + -13 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bb6a6 - 4?\nAnswer: bb6a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 3343.8.\nAnswer: 3338.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(704) + sqrt(11) - sqrt(11))**2 - -3*(sqrt(11) - sqrt(11)*-3)**2.\nAnswer: 3344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/17)*l)**(7\/4)\/(l**(-26))**(-1\/14) assuming l is positive.\nAnswer: l**(171\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2505 + 2504.9. What is the nearest to -2 in -4, -0.4, y, -2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18020?\nAnswer: 2, 5, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -145501, -147660, -151257, -156292?\n\"Answer: -719*s**2 - 2*s - 144780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5 = -2*f. Let s be (-8)\/36 - (-5)\/9. Factor -1\/3*m**2 + 0 + 1\/3*m**4 - s*m**3 + 0*m + 1\/3*m**f.\nAnswer: m**2*(m - 1)*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42439 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - w**3 - 2*w**3)*(0*w + w - 5*w)*(2 - 3 + 2).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -15*g - 1. Let j(c) = -19*c - 18. Let r(h) = 17*h + 16. Let l(n) = 8*j(n) + 9*r(n). Calculate -i(w) + 2*l(w).\nAnswer: 17*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733 is divided by 57?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 1855*g**3\/2 + 79120*g**2 - 322045*g\/2 + 80975 = 0. What is g?\nAnswer: -32390\/371, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134 - 134.15. Let n = 0.1 - 0.3. Let t = c - n. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 6*s - 20 = -4*n, s = -4. Let f(q) = 3 + q**2 - n*q + 1 + 5*q. Calculate f(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19\/4 - 17\/4. Let u(z) be the second derivative of 0 - s*z**2 + 0*z**4 + 0*z**5 + 0*z**3 + z - 1\/30*z**6. Differentiate u(o) wrt o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 x when four letters picked without replacement from xkfkxkkffxflfkxxff?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 695519 and 29825?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 377.3484 milligrams to micrograms.\nAnswer: 377348.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-75))\/((-2)\/(-3)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3598*a - 3457*a - 539 + 7065*a. What is y(54)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1102 and 19895160.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i + 95 - 98 + 37*i.\nAnswer: 26*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20930, -20929, -20928?\nAnswer: -20927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1871*a + 422849. Determine w(-226).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 9 - 4 + 6)*(-20*a**2 - 14*a**3 - 16*a**3 + 27*a**3).\nAnswer: -48*a**3 - 320*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**8\/112 + t**4\/24 - 3*t**2. Find the second derivative of m(j) wrt j.\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37274 to the nearest one thousand.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + -2*sqrt(448)*1 + sqrt(448) + (2*sqrt(448) + 0 - sqrt(448) - ((sqrt(448) - (sqrt(448) + 2)) + -3))**2.\nAnswer: 72*sqrt(7) + 465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -24 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j + 13. Suppose 84*o = 94*o + 110. Give t(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 30*z**5 - 130028*z**4 + 294614*z**3 - 164608*z**2 - 34664*z + 34656 = 0.\nAnswer: -2\/5, 2\/3, 1, 4332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.683 - 0.317. Which is the closest to i? (a) 1\/2 (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407*i**2 - 405*i**2 - 400*i**2 + 1197*i**2.\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00045485 rounded to 6 dps?\nAnswer: 0.000455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -44*z**2 - 4046*z + 222. Let w be g(-92). Solve w + 64 = -17*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -5*v**7\/42 + v**6\/120 + v**4\/8 + 19*v**3\/6 - 37*v**2 + v. What is the second derivative of g(h) wrt h?\nAnswer: -300*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*s = 26, s = c - 7 - 0. Suppose -c*y = 4*y - 6438. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**5\/180 + 17*d**4\/72 + 24*d**2 + 2. Solve p(t) = 0.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/25 of a microsecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3782554?\nAnswer: 2, 1891277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -4*a - 232, 87*a + 2*m - 110 = 91*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 203 (b) -1\/2 (c) -9\/5 (d) 30 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -221450, -221485, -221528, -221579, -221638, -221705, -221780?\n\"Answer: -4*v**2 - 23*v - 221423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(16*r**2 + 0*r**2 - 2*r**2).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 25*s**2 - s - 18. Let d be y(-25). Let t(m) = 9*m**2 - 10*m - 24. List the prime factors of t(d).\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-664)\/(-3901))\/(-4 - -8)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 3, 7, 0, 62979 in descending order.\nAnswer: 62979, 7, 4, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g. Let w(f) = 266*f**2. Give w(a(c)).\nAnswer: 1064*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/11*1924\/(-444).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**5\/200 - v**4\/8 + 19*v**3\/30 - 6*v**2\/5 - 66*v - 2. Solve k(h) = 0.\nAnswer: 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 7. Let d be (-17 - (-10)\/1) + 4 + -1. Let f be (0 - d - 3)\/(1\/(-3)). Sort k, 5, f in descending order.\nAnswer: 5, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 790 - 794. Which is the closest to g? (a) -3 (b) -1\/8 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/65 and (-36)\/(-198)*(-2)\/5?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 30*j + 724. Calculate p(-25).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (150*s - 70*s - 28*s)*((-2 + 4 - 3)*(3 + 0 - 6) - 1 - 1 + 0) to y*s + a and give y.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, x: 8, n: 2, u: 3, r: 2, a: 2}. What is prob of sequence nvan?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 0*c + 0 + 7\/6*c**3 + c**2 + 2\/3*c**4. Is h(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69\/19055 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 bigger than -176\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 2015847.3 and -2.\nAnswer: 2015845.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40366 + 40404. Suppose 4 = 3*j + 1. Let a = j + 109. What is the remainder when a is divided by p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000686997 to seven decimal places.\nAnswer: 0.0000687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is cc7 (base 13) in base 14?\nAnswer: b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h + 3*h**2)*(-1 + 1 + 1 + (-414 - 605 + 831)*(2 + 0 - 3)).\nAnswer: 567*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -0.2, 1, -21?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**3 + 4*p**2. Let a be t(-3). Let r = a - -50. What is the third derivative of 27*o**2 - 22*o**5 - 7*o**2 + 3*o**r wrt o?\nAnswer: -1140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -694088?\nAnswer: -694088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 404719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*(2 + 2*((sqrt(500) + 0 - sqrt(500)) + -4) + -1*(sqrt(320) + 1)*-4)**2.\nAnswer: -51240 + 1280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 775.92 + -776. Let d = h - 0.42. Which is the biggest value? (a) 1\/7 (b) d (c) -113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 7*y**2 - 2*y**2)*((y + 0 + 0)*(-4 - 12 + 7) + 3*y + y - 2*y + 9 - 9 + 4*y).\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8688 * -0.02\nAnswer: 173.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29387 + -20188. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 + -52.29. Let b = 69.2 + -74.49. Let p = b - m. Which is smaller: p or -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3205 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36\/19 + -163\/76. Let f = 19.5 - 22.5. Which is the second biggest value? (a) y (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-3 + 0\/(-5 - -1)). Suppose 4*p = -b*m + 1154, -175 - 974 = -4*p - 3*m. List the prime factors of p.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*v**2 - 3*v - 34 - 5*v + 17*v - 2*v - 5*v.\nAnswer: 257*v**2 + 2*v - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 257329783 to the power of 1\/3, to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 3 - 29. Suppose -3*v + 45 = 4*w, -9 = -4*v + 3*w + 26. Let c = v - f. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.7+-262\nAnswer: -252.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 1742978882*b**3\/11 + 146410344172*b**2\/11 + 9919058*b\/11 + 168\/11 = 0. Calculate b.\nAnswer: -84, -1\/29521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 9:01 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8158.282ml in litres?\nAnswer: 8.158282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0*-56952\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/11 in -13968, -3\/2, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 1001204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/4 - -2)*0. Suppose 5*s + 2511 = 2536. Put 1, -26, s, k in increasing order.\nAnswer: -26, k, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -0.83 (c) -1\/4 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*a - 16, -5*y - 8 = -y - 4*a. Let n(d) = d**3 - 3*d**2 + 2*d + 1. Give n(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**4 + 0*y**4 + 3*y**4)*(-377 - 442 + 986 + 732 + 843).\nAnswer: 1742*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**2 + 55*z - 36. Let k be m(13). Let v(s) = 12*s + 10. Let d be v(-1). Put 5, d, k, -1 in descending order.\nAnswer: 5, k, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245032368 divided by 2?\nAnswer: 122516184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 177943602 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 13 - 43. Let k be (36\/y)\/(2\/110). Let n(x) = -x**2 + 8*x + 90. Let j be n(-6). Calculate the highest common divisor of k and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(132)*6)\/(sqrt(12) + -4*(sqrt(12) + (sqrt(12) - (sqrt(12) + sqrt(36)\/sqrt(3))))) + -5 + -3.\nAnswer: -18*sqrt(11) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 32 + 16 = 5*m, -5*l - 45 = -5*m. Let z = 3 - m. Let x be ((-4)\/6)\/(3\/z). Solve n + n + 5*p = x, 5*n - 3*p = -26 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-1 + 3 - 4). Suppose -u + 18 = 2*w, 5*u = -w - 0*w + 54. Calculate the greatest common divisor of y and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.97665ns in milliseconds?\nAnswer: 0.00000797665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (294\/(-343))\/(3\/(-14)). What is the third derivative of -s**2 - 2*s**5 + 15*s**5 - 5*s**5 - 2*s**4 - 9*s**5 + 24*s**u - 57*s wrt s?\nAnswer: -60*s**2 + 528*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13557, -27112, -40667, -54222, -67777, -81332?\n\"Answer: -13555*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u - 2. Let z be x(1). Suppose -d + 1033 + 142 = z*v, d + 583 = 2*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oozzoz. What is prob of sequence ooz?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 1275681.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4033 and 1417.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (11010\/1468)\/((-3)\/2 + 1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.2699004 - -3.27. What is u rounded to 6 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 297.65890011 - 0.65954611. Let s = 297 - a. Round s to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 984*k + 3*k**2 - 984*k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctdd when four letters picked without replacement from {c: 2, t: 6, d: 2, o: 1, r: 7}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 5*k**2 + 6*k + 8. Let q be o(7). Find the common denominator of (-2)\/(-5) - (-146)\/10 and (-12)\/4 - q\/(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**5\/5 - 111*z**4\/5 - 1032*z**3\/5 + 804*z**2\/5 + 3456*z + 15552\/5 = 0.\nAnswer: -18, -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 8:17 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 4 - 3*s**2 + 2 + 0*s + s. Let g be l(-3). Let r be (-2)\/g + (-18999998)\/(-5). What is r rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 3*u**2 - 2*u. Let b(h) = -h + 6. Let q be b(5). Let c be ((-6)\/(-2))\/q - -1. Suppose -3*f - 2 = -c*f. What is a(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -13*l**2 + 13*l + 11. Let y(o) = 7*o**2 - 6*o - 5. What is 4*j(w) + 9*y(w)?\nAnswer: 11*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**25\/a*a*a*a**(1\/17) assuming a is positive.\nAnswer: a**(443\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 6*y - 4*y + (0 - 1 - 1)*(0*y + 6*y + 0*y))*(-26*y**3 - 28*y + 28*y).\nAnswer: 468*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -78*d + 2886. What is the smallest common multiple of 624 and u(15)?\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 11:08 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*s = -63*s + 133*s - 540 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {f: 3, v: 2, o: 12}?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 15) to base 4.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**6\/12 - 5*q**4\/24 + 7*q**2. What is the second derivative of m(j) wrt j?\nAnswer: 60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z = -9*z + 52 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 1. Let w(g) = -4*g + 6. Let h(i) = -5*k(i) - w(i). Let c(b) = -44*b**2 + 32*b + 4. Let v(m) = c(m) - 4*h(m). Factor v(u).\nAnswer: -4*(u - 1)*(11*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 2*l**3\/3 + 151. Let h(p) = 364*p**2 + 1. What is u(h(t))?\nAnswer: 264992*t**4 + 1456*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 39*k**2 + 33 + 2*k**2 - 32. Let r(l) = -2*l. What is r(d(m))?\nAnswer: -82*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000338887192 to seven decimal places.\nAnswer: -0.0000339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70*d + d**3 + d**3 + 48 - 2022*d**2 + 2046*d**2.\nAnswer: 2*(d + 1)*(d + 3)*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**6\/60 + 4*v**3\/3 + 5*v**2. What is the first derivative of n(y) wrt y?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.41*-4273.\nAnswer: 1751.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 4. Let h be s(3). Suppose -46 = -3*v + 4*f, -v + 4*f + h = -1. Solve -4*q - d - v = 0, -q + 1 = -2*d - d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1641*q - 315. Let c be n(15). Round c to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 + 1760.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 8.4, 5, -4, -5, -3, -16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(1020\/(-168)))\/((-3)\/(-15)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**5\/60 - c**4\/8 - c**3\/6 - 3*c**2. What is the units digit of m(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164690?\nAnswer: 2, 5, 43, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/65)\/(106 - 107)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 2:39 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -63184, 3, -3, 0 in increasing order.\nAnswer: -63184, -3, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-730)\/(-6) - 0 - (-76)\/(-114). Let s = d - 110. Solve -3*a - s = 3*y + 4, 4*a + 17 = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppplppllpppppppppplp. What is prob of picking 3 p and 1 l?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**3\/3 + a**2\/2 + a. Let y(j) be the first derivative of -2*j**2 - 2*j + 6. Give 5*w(q) + 3*y(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-73*y + 39*y + 40*y)*(y**2 + 2*y**2 + y**2 + 2) as x + i*y + o*y**3 + u*y**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence muu when three letters picked without replacement from {u: 3, m: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**4\/8 - 2*p**3 + 15*p**2 - 10*p - 5. Let f(r) = 0. Calculate r.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**3 - 5*r**2. Let s(y) = -y**3 + y**2. Let z(h) = m(h) + 2*s(h). Factor z(v).\nAnswer: 3*v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1236541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -268543, -268542, -268541, -268540, -268539?\n\"Answer: a - 268544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - (sqrt(88) - -2*sqrt(88)*3))\/(-5*sqrt(8)\/sqrt(4)))**2.\nAnswer: 1584\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 3*m + 3*n = 500, 4*m - 8*n = -500. Which is the closest to m? (a) 2\/7 (b) 0.5 (c) 1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -x - x + 45, 3*u + x = 28. Let z(s) = 4*s. Let q be z(-1). Let j = q - -7. Calculate the remainder when u is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2084 - 1172. Does 48 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 + (8775\/(-825))\/((-9)\/(-3) + 2) and 0 + (-2)\/(2 + -24)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 8. Let c = 38 + -15. Suppose 0*f + m + 22 = 3*f, 2*f = -m + c. Solve 0*d + d - f = p*z, 2*d + z = 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0 - 6. Suppose 4*k = 20, -5*n + q*k = 4*k. Suppose 11 = n*p - p. Calculate the least common multiple of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(520)*1)\/sqrt(10))\/(sqrt(144) - sqrt(36) - sqrt(4)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 212*k + 212*k - k**2. Let w(i) = -16*i**2. Determine w(r(b)).\nAnswer: -64*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)*l)**(2\/57)*(l*l**(1\/3))**(-3\/4) assuming l is positive.\nAnswer: l**(-59\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a hour in minutes?\nAnswer: 1005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 174067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**3 + 100*m**3 - 366*m**3.\nAnswer: -252*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g - 105. Calculate the remainder when a(-27) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1590*d + 3022. What is f(2)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0, -1.42, -0.37, 5, 27?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -5, 36, 3, -3294, -3.\nAnswer: -3294, -5, -4, -3, -2, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 - 123?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4816?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 1. Let w be ((-1)\/(-4))\/((-35)\/(-15)). Let h = w + -71\/140. Which is bigger: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9840)\/(-780))\/41*52\/8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*n**5 - 2 + 9 + 432*n**4 - 85*n - 876*n**3 - 29*n + 2 + 505*n**2.\nAnswer: -(n - 3)**2*(4*n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 215, 431, 647, 863, 1079?\n\"Answer: 216*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/28 - (3 - (-57)\/(-21))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 963, 962, 953, 930, 887, 818?\n\"Answer: -y**3 + 2*y**2 + 962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1, -6 in decreasing order.\nAnswer: 1, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22920320 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 divided by -78.\nAnswer: 56\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338 - 562 = -a - 4*i, 4*a = -4*i + 3576. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 265438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a millennium in decades?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 0.4 (c) -42 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*x**3 + 10*x - 10*x - 2 + 2 + x**3 + (0*x**2 - 2*x**2 + x**2)*(-2*x - 2*x + 6*x) in the form b*x + w + n*x**2 + p*x**3 and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pffpfflffppbipbpfbp. What is prob of sequence lppb?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1057 divide 78553100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**25*y**4*y)\/(y**(-6\/7)\/(y*(y*y**(2\/3)*y*y)\/y)) assuming y is positive.\nAnswer: y**(725\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 888 - 630 = -1165*q + 1660 + 928 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -9. Let j be 0\/(3 + 3 + r). Suppose 5*k = 3*l - 65, -3*k = 2*l - j*k - 18. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k - 51. Suppose -4*x - 64 = -4*c, 2*x = -0*x + 5*c - 26. Let o be l(x). Let j be (o\/(-15))\/(7\/14). Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 0)\/((-10)\/40). Let f = -3 + o. Suppose -3 = -3*r - 2*d, -2*d = 2*r - f + 3. Solve q - r = 2*k, k - 5*q - 16 = 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, d: 11}. What is prob of sequence ddd?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 101*f + 587. Calculate s(-95).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-1)\/6)\/((-256)\/4224)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 824\/6 + 12\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -0.4 (c) 0.2 (d) 0.059 (e) 0.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-110)\/(-3*10\/12). What is the highest common divisor of 36 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65463.046 and -11.\nAnswer: 720093.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**3 + 2*s**2 - 3*s + 3. What is the remainder when k(2) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/29 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 9) in base 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 8*z**2. Let x(j) = -13*j. What is n(x(p))?\nAnswer: 1352*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 19. Let f = 4.1 - 2.1. What is the smallest value in d, -3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**3 + 19*g**2 - 19*g - 2. Let h(q) = -2*q**3 + 9*q**2 - 9*q - 2. Let c(s) = -5*h(s) + 2*i(s). What is the units digit of c(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7602 + 7606. Solve 3*j + 6 = -a, 5*a + l = -2*j + 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.2 + 1.8. Let n = -6.5 + m. Which is the nearest to 0.1? (a) 0 (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/4 + 3*v**3\/2 - 23*v**2\/4 - 24*v + 28 = 0. Calculate v.\nAnswer: -7, -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -73, -1.\nAnswer: -73, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2384393 is divided by 32662.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**3\/3 + u**2\/2 + 6. Let f be q(0). Put 4, f, 2 in descending order.\nAnswer: 4, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**3\/3 + 7*k**2 + 3*k - 19. Determine f(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -39*f + 6. Let q(p) = -39*p + 5. Let j = 13 - 15. Let a(x) = j*l(x) + 3*q(x). What are the prime factors of a(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 7, -44?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-175)\/(-20)*13984\/3059\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1038824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 2*g + 0*g + (-2 + 5 - 2)*(-g - 4*g + 3*g) + 14*g + 52*g + 10*g - 3 + 2*g + 3.\nAnswer: 78*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 18 + r - 28 + 18. Let x(o) = -7*o**2 + 1. Let m be x(1). Calculate s(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*50\/(-375))\/((-14)\/(-5))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3340 - -3335. Let u(t) = -2*t**2 - 7*t - 6. Let z be u(-4). Which is the smallest value? (a) -0.1 (b) g (c) 0.1 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 19. Let c = a - 9. Suppose -c*o - 7 = -2*v + 3, -22 = -2*v - o. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 126*z + 220, 2*z + 784 = -5*i + 820 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 - 2)*(0 - 1 + 2) - 6 + 2 - 19)*(6*a**2 - 13*a**2 - 38*a**2) + (a**2 + 2*a**2 - 2*a**2)*(0 - 2 + 0) + 1 + a**2 - 1 - a + a + 2*a**2.\nAnswer: 1171*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 4, 4\/6411, -1\/2 in ascending order.\nAnswer: -1\/2, 4\/6411, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 67, 74, 83, 94, 107, 122, 139?\n\"Answer: d**2 + 4*d + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10294 + 54296 = 6*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*y - 1848 = 0. Suppose -2*r = -3*p + 430 + y, -2*p + 679 = -5*r. Suppose 3*l + l + 3*w = p, 2*l = -5*w + 190. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4980 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25468 - -46593. What is the highest common factor of 338 and n?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*l + 923290 = -548127 + 278062. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25638?\nAnswer: 2, 3, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*k - 4*a + 16, -4*k + 12 = a. Solve -3 = -2*q - k*n - 11, 3*q + 7 = 2*n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4798716?\nAnswer: 2, 3, 13, 19, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 13343?\nAnswer: 13351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35362 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l + 34. What is the smallest common multiple of 22 and n(6)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-304)\/(-2660))\/(2\/(-7)). What is the third smallest value in -2\/3, 1, -1.6, -7, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u + 4*u)*(-7 + 14 + 6)*(2*u**4 - 4*u**4 - 2*u**4 + (0 + 0 - u**2)*(3*u**2 + u**2 - 3*u**2) + 0*u**4 - 3*u**4 + 5*u**4 + 25*u**4).\nAnswer: 1716*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -8*l + 45. Solve -5*p = l*c + 7, -2*c = -6*p + 10*p + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - o - 4 = 5, 28 = -4*h - 4*o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 552, 2217, 4992, 8877?\n\"Answer: 555*m**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9734 divided by -17203\nAnswer: 9734\/17203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 4:58 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 141265 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6 + 7 = 0. What is the lowest common multiple of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 55 = -k. Suppose -9*j - 16 = -11*j + z, -2*z = 3*j - 17. Suppose 2*f - k = -j. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**11*i**20\/i*i*i*i)\/(i\/i**(-12)*i**(6\/13)) assuming i is positive.\nAnswer: i**(254\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*k + 52, h = -4*k + 14 + 24. Is 407\/h - (-6)\/4 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 31.\nAnswer: -1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -104, -103, -100, -95?\n\"Answer: n**2 - 2*n - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3288, 3366, 3490, 3654, 3852, 4078?\n\"Answer: -i**3 + 29*i**2 - 2*i + 3262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3785710.5ns in hours?\nAnswer: 0.00000105158625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 39 - 71 + 7136*o**2.\nAnswer: 7136*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -230.4, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 38, -7, 1, 5, -1\/7?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -374677 and -0.00441?\nAnswer: 374676.99559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14909341 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 8:02 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.1 + 0. Let j = z - -2. Sort j, -3\/7, 0.4.\nAnswer: -3\/7, j, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 375 and 145860?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/5190 and -73\/1038.\nAnswer: 5190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 185\/3 (b) -3 (c) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 j when three letters picked without replacement from hjhhuzhhz?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 = 17*o - 156. Calculate the remainder when 43 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 78835020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 38. Let m = h - -20. Suppose m*p = -5*y + 27, -2*p = -p + 5*y - 16. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12286.5 * -20\nAnswer: 245730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hee when three letters picked without replacement from {h: 1, y: 2, e: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2. Let m(w) = 3*w + 4. Let q be m(-3). Let p(i) = 3*i - 5. Let v(a) = -2*a - 8*a + 7 + 9. Let r(x) = q*v(x) - 16*p(x). Determine n(r(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 468 + -9426.\nAnswer: -8958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j - 18. Let g be (-1 - 3) + j + -2100005. What is g rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 = 2*v - 258 + 529. What is v rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 594 and -21.3545.\nAnswer: 572.6455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/120)\/((-11)\/44)*24\/5 + -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 - 55. Let y be (-1)\/3 + 95\/15. Let u = y - 22\/3. What is the second smallest value in n, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/(-18)*9\/(-6). Suppose f*x - 204 = -x. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -977*q**4 + 3*q**3 - 2*q**2 + 93.\nAnswer: -23448*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r + 334. Let h be k(0). Let u = 1003\/3 - h. Which is the nearest to 0.1? (a) u (b) 0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 5, 6\/7, 2\/97, -4\/5, 60, 3, 0.3?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 1\/53, 26, -1, 1 in increasing order.\nAnswer: -1, 1\/53, 1\/2, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 14*k - 13. Let t(x) = 5*x - 5. Let i(r) = 3*d(r) - 8*t(r). Calculate i(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 c when four letters picked without replacement from mmzmzccczmsczss?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 2*u**7\/21 + 5*u**3\/6 - 7*u. What is the second derivative of f(i) wrt i?\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3827*h**6 + 16*h**2 - 45*h.\nAnswer: 459240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200211 + -102220022?\nAnswer: -101012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 84*h - 288.\nAnswer: -3*(h - 24)*(h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 61 = 3*d, 3*h - 12 + 75 = 4*d. Calculate the remainder when 22 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12278 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 19*i**2 - 1839*i + 43. What are the prime factors of c(-30)?\nAnswer: 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**5\/2 - 37881*p**4\/2 - 151575*p**3\/2 + 37881*p**2\/2 + 75786*p = 0. What is p?\nAnswer: -4, -1, 0, 1, 12631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/4)\/((-2)\/4). Let p(a) be the second derivative of -a**5\/20 - 5*a**4\/12 + a**3\/3 + a**2\/2 + 4*a. Give p(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -121610.9 rounded to the nearest one thousand?\nAnswer: -122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 215 + -212. Determine s, given that 192 - 5*s**4 - 192 + 60*s**z - 180*s**2 = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 - -1.06. Suppose -u = -0*u - 4. Which is the nearest to d? (a) 2\/19 (b) 0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 - 3) - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11\/7 + 26\/21. Let q = 0.2 - 0.1. Which is the closest to n? (a) 0.2 (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 4*t**2 - 6*t + 1. Let r(l) = -4*l + 5*l - 2*l. Let y be r(5). What is m(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 = 0, 2*a = 5*a + k - 13. Let m = 5 - a. Let h = -1 + m. Is h at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 15. Suppose 3*y - 2395 = -f*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/6 - (-2)\/(-3). Let m = 3 - z. Suppose -p + 3*p - m = 0. Sort p, 5, -2\/9 in descending order.\nAnswer: 5, p, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from {k: 4, w: 2, f: 4, p: 2, h: 1, b: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/3 and -70\/13347.\nAnswer: 13347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 0 + 0*k**4 + 1\/20*k**5 + 4*k + 5\/2*k**2 + 0*k**3. Find the first derivative of h(s) wrt s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 + 276?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 499, 1844, 4037, 7078, 10967, 15704?\nAnswer: 21289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + (8260\/1250 - 6) and -97\/150.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 13*k - 4. Let z be n(-9). Let w be (-4 - 1)*24\/z. Solve -4*y - y + w*h = -19, 0 = -3*y + 4*h + 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3071 is divided by 161.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 12*s**2. Let d(w) = -35*w - 22*w - 27*w + 64*w. Give d(n(v)).\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -34910 - 3?\nAnswer: -34913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 6:15 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 + -39. Suppose v - 4*v + r = 0. Let d = v + 7. Solve g + 0*j - 5*j = -d, -20 = 5*g - 4*j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2401.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 2. Let c be b(7). Let t = -2 - c. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 30*i**2 + 94*i + 163. Give c(26).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22208\/5552*((-54)\/(-45))\/((-4)\/45*-1)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (36 + -19 + (51 - 8) + -7)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35545391795506 + -0.5.\nAnswer: -35545391795506.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*q = 4972, 4*q + 888 = -4*h + 4872. Let m = -556 + h. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1082*p**3 + 34*p**2 - 143*p + 13. Is i(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2010 + 4?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*q + w - 25, 2 = 2*q + 4*w. Solve 3*t + 11 = -4*g, -7*g + 3*g - q = -t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5678.733 months?\nAnswer: 473.22775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -88*t**2 + 1. Let x(f) = 2*f**2. What is x(j(q))?\nAnswer: 15488*q**4 - 352*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**5\/10 - 37*c**4\/30 + 64*c**3\/15 - 4*c**2 - 34*c. Factor a(w).\nAnswer: 2*(w - 5)*(w - 2)*(5*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 249 = 6*p. Let h be (-2237)\/(-9) - 8\/(-12). Let a = p - h. Sort -2\/5, a, 1\/5 in decreasing order.\nAnswer: 1\/5, a, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 432\/5 - 86. Suppose 0 = x + s - 1, 5*x + 0*x - 15 = 5*s. Let m be 1 + x + (-5)\/2. Which is greater: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 680352?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -0.111, -0.1, -0.08 in ascending order.\nAnswer: -37, -0.111, -0.1, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32.132 + -32. Let g = 0.068 + q. Are g and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -14*b**3\/3 - 69782*b**2\/3 + 2358196*b\/3 - 441584 = 0.\nAnswer: -5018, 4\/7, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -21*o - 621. Which is the closest to -1? (a) o (b) -5 (c) 0.3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -299 + 114. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y - 7 + 5 + y**4 - 2*y**2 + 3 + y**2 to h*y**2 + l*y + i*y**4 + o + d*y**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-24) - 23\/(-6). Suppose -b*u + 95 = 19. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-2)\/4 + 19. Suppose 0 = -5*t - 2*w + z, -7 - 6 = -t - 5*w. List the prime factors of (-2)\/t*9\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u - u - 27 - 4*u)*(-532*u**3 + 126*u**3 + 245*u**3) as v*u**3 + p + t*u**2 + l*u + i*u**4 and give i.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, o: 4, x: 1, v: 3, z: 2, i: 4}. Give prob of sequence xo.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 78 - 78 = 0. Sort -54, o, -5.\nAnswer: -54, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/2 - 12\/(-8))\/1. Suppose -3*i = -4*i + 4, 5*d = i - u. Let a = 42 + d. What is the greatest common factor of 205 and a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100111 (base 2) to base 8\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*x**2 + 6446*x + 12*x**2 - 6441*x.\nAnswer: -23*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 276 = 3*u + 284, l = u + 8 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00778559796 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 6*y - 63284, -4*y + 36618 + 58269 = 3*z. List the prime factors of z.\nAnswer: 7, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2154898*m**6 + 38*m**4 - 366*m**2 - 565*m wrt m.\nAnswer: 258587760*m**3 + 912*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 140 = -0*v. Let u = v - -23. Let l = -6 - u. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -j - 769, -b - j = 3*j - 171. Suppose -6*t + 11*t - 250 = -4*x, -4*t + b = 5*x. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 8842\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - -3 - (12 - 0). Let u be (20\/t)\/(3\/(-9)). What is the second derivative of -n**5 - n + 3*n**5 + n**u - 4*n wrt n?\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/2*4\/15. Let f = 0.23 + -0.03. Let i = 2.5 - 2.5. Which is the closest to i? (a) -0.3 (b) k (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Suppose 2*i + s - 4*s - 5 = 0, 0 = i - v*s - 2. Suppose j - 27 = -t, -3*j = -i*t - 8 - 66. What is the remainder when 50 is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105052 - 73545. List the prime factors of c.\nAnswer: 7, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*d + 2*d = -16, -8 = -2*n + 2*d. Solve 3*s + 4*f - f = n, -4*f + 15 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -6 (c) 0.5 (d) 1.278 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -4. Let u be (-15)\/4*(r + -1). Suppose 108 = 41*a - 14*a. Solve -a*h - h = u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7017457*i**3 - 13*i + 283733?\nAnswer: 42104742*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/12*-21 + (-3)\/12. Suppose v*o = 9*o - 20. Solve -g = -2*a, -o = -6*g + g + 5*a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m - 1. Let l be w(-3). Suppose 3*p = -p - l. Let q = -7 - -6. Sort 4, p, q.\nAnswer: p, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*c - 2304 - 551, 2*t - 2850 = 2*c. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 1, -2*b - 3*r = -0*r - 27. Suppose 110*q - 294 = -3*y + 107*q, 0 = q - 2. What is the greatest common divisor of y and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 13*p**2 - 5*p + 6. Let n(q) = -6*q**2 + 4*q + 2. Let r(w) = -13*w**2 + 9*w + 6. Let i(z) = 5*n(z) - 2*r(z). Give 8*i(d) + 3*u(d).\nAnswer: 7*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-324)\/42 + 2 - 8\/28. Let f be (-576)\/216 + (-16)\/g. Let f + 2\/3*m**2 - m + 1\/3*m**3 = 0. What is m?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(352\/16))\/(180\/16)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, -9, -53?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 105862766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 374*s**2. Let h(g) = -2*g + 89. Give h(r(f)).\nAnswer: -748*f**2 + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(6\/19)*y**(1\/3))**(-50) assuming y is positive.\nAnswer: y**(-4700\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9098916 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 0) + (-102 - -121 - 23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1869441 is divided by 900?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**4\/2 - a**2\/2 - 1. Is 7 a factor of b(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 459676 - 3676. Round k to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39590 - 27446. List the prime factors of o.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 12:05 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/8 - (-14)\/(-24). Let t(m) = -m**2 - m + 6. Let s be t(0). Let a be (s\/(-15))\/(39\/15). What is the second biggest value in a, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 254137 = -c, k - 5*c - 7339 = 56211. What are the prime factors of k?\nAnswer: 5, 97, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 75.57886 millennia?\nAnswer: 755.7886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 142105397 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1330 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-175)\/15)\/(-7) + -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5417692 and 45967.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 371191.8 rounded to the nearest 1000?\nAnswer: 371000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(20)\/(sqrt(10) + sqrt(10)*-2) + sqrt(2) + sqrt(12)\/(sqrt(6)*2))**2)*-2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -z - 11, -2*s = -7*s + 5*z - 25 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 919820?\nAnswer: 2, 5, 11, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-11)\/c**(-2\/5))\/(c**(-9\/2))**(-22))**(-10) assuming c is positive.\nAnswer: c**1096","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27930 + -17508. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 238, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 5:07 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 534 divided by 3\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 429*c**3 - 10*c**2 + c + 10. Let o be v(-10). What is o rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -833 (b) -4 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 7 + 30. Suppose -2*u - l = -57. Suppose 4*q = q + 12. Solve 0 = 4*p - q*j + j + 7, u = -5*p + 4*j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(sqrt(98)*2)**2.\nAnswer: 1963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/4, -35, 2, 13.2, 3\/77, 0.3?\nAnswer: 3\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -974\/9 + 108. Is d bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12 = 6. Suppose -f = -2*f + p. Suppose -95 = h - f*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/75 bigger than -28237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.218 + -3.518. What is the closest to -3\/5 in u, -2\/23, -18, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2. Let v = -6 + 15. Let j(n) = -2*n**2 - n**2 + 4*n**2 + v*n**2. Give d(j(s)).\nAnswer: -300*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 8. Let c = 0 - w. Suppose 5*n - p = -20502, 3*p = c*n - 2650 + 19056. What is n rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 10:32 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (58087 - (0 - -1)) + (-44 - 440\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2289.7 - 2290. Let u be 1 + -2 + -4 + 2. Let l be (-10)\/12 - u\/6. Which is the nearest to l? (a) x (b) -2\/7 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3 = 3*n, n + 0 = 4*d + 14. Let v(q) = q**2 - q + 3. Let b be v(3). What is the lowest common multiple of ((-6)\/b)\/((-4)\/66) and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38\/4269 in 0.4, 0, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbub when four letters picked without replacement from {p: 1, f: 3, u: 2, g: 1, b: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 7*t = -3*t + 276, 4*s - 539 = -5*t. What is the units digit of (-24034)\/(-34) + 696\/s + -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3b (base 12) to base 10\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47865*q = 47740*q + 1000 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56 + -31 - 16) + (-41 + 2 - -1).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(2688)*4)\/(sqrt(72)\/(-3*sqrt(12) + sqrt(12))*-6))**2 + 3.\nAnswer: 114715\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 186 + -83. Let b = k + 139. Let w be (-240)\/(-11) - 10\/(-55). Calculate the greatest common divisor of b and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 791 = r, 0 = 3*r - 2*c - 745 - 1642. What is the remainder when r is divided by 133?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21)\/6*4\/(-7). Suppose -2*q + 4*q - h = -2*c, 12 = 4*c + 2*q. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*c + 424 - 80 = -148*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -141*n + 353*n + 15264 for n.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 184*z. Let g(s) = -3*s. Give v(g(o)).\nAnswer: -552*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b10 (base 12) to base 8.\nAnswer: 11674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 321151 * -0.1\nAnswer: -32115.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w. Suppose k + k - 24 = w. Suppose -8*u + 4*u = k. What is the third smallest value in u, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787060668?\nAnswer: 2, 3, 6271, 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4354911?\nAnswer: 3, 11, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 85500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**3 - 9*g**3 - 2 + 6*g**3 + 2*g in the form r*g**3 + a + b*g**2 + k*g and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 25 = 3*t - 48, 2*j = -t + 30. Let k(g) = g**3 + 33*g - j - 17*g**2 + 2 + 0 - 10. What are the prime factors of k(16)?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a\/(a**7*a))\/a*a*a**(-1\/4)*(a*a\/(a\/(a\/a**(-8))))**(3\/44) assuming a is positive.\nAnswer: a**(-245\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77022 (base 8) to base 6.\nAnswer: 405230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13446 and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114020 and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 = 3*z. Suppose -13 = -5*y + z. Let i(b) = 6888*b**2 + 2*b + 2. Let r be i(y). Round r to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -12*b**4 + 9*b**2 - 9*b - 27. Let t(s) = -6*s**4 + 4*s**2 - 4*s - 14. Let l(f) = -4*o(f) + 9*t(f). Find the first derivative of l(j) wrt j.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 33 = -55. Let w be s\/8 + (-3 - -1). Factor -1\/2 - 1\/4*p**2 + w*p.\nAnswer: -(p - 2)*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(1\/2*2). Suppose -2*a - a + i - 8 = 0, 4*a + 15 = -3*i. Let n be a\/9*1*9\/78. Is m at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 0\/3) + 0. Suppose -4*l = -9*l + 140. What is the greatest common divisor of j and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184742371.\nAnswer: 11, 23, 157, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddxddddxxxxd. What is prob of picking 4 x?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -347 - -158c3d?\nAnswer: 1588f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -23735 (base 9) to base 16\nAnswer: -3e24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 5*z - 10*z + 33 = 0, z = -k + 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/11 + 24*m\/11 - 40\/11.\nAnswer: -2*(m - 10)*(m - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000088021203 rounded to seven decimal places?\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7643568*0.4\nAnswer: 3057427.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x\/x**(1\/3))\/x)**(-26)\/(x**(-1\/5))**(-3\/22) assuming x is positive.\nAnswer: x**(-14309\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196710 is divided by 1679?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -266?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3512635 (base 8) in base 10?\nAnswer: 955805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x*x**2)\/x*x))\/x)**(26\/9))**(1\/8)\/(x**(-3\/10)*x*x**1\/x)**43 assuming x is positive.\nAnswer: x**(-1871\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 0*h + 0*h**3 + 0 - 3*h**2 + 0*h**7 + 0*h**6 - 7\/60*h**5 + 1\/84*h**8 + 0*h**4. Find the third derivative of s(i) wrt i.\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -9) + 3 + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 5*p + 8. Let r be w(-6). Let m be r\/6 - 13\/21. Let c(q) = q**3 - 5*q**2 + 2*q - 12. Let j be c(5). What is the nearest to 2\/3 in j, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -8*u + 4*u. Suppose -2*h + 5*g = 15, u*g + 0*g - 5 = h. Let k be h\/2*(-60)\/(-5). Solve j + 5*m - k = 0, 5*m - 6 = 3*j + 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-16)*(-1)\/(-6)*-2)\/((-21)\/(-574)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123116 is divided by 180.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12594 by 5674.\nAnswer: 6297\/2837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 1:16 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 6 + 0)*(-717 - 5*w + 717) + 5*w - 4*w + w to the form p + n*w and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15726 or 15725?\nAnswer: 15726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*n*p - 312981804*n - 81191726*p wrt p.\nAnswer: -3*n - 81191726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*p = -697*p + 13916 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*d + 2*d = -3, j - 6 = d. Sort -1, 6, j in increasing order.\nAnswer: -1, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*z + 288*z - 4*p - 1 = 0, p + 10 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-nine fifths of a gram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1103303202 - -10?\nAnswer: -1103303132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 - 31 = -s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 478.68g to nanograms.\nAnswer: 478680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392*o**3 + 149*o**3 - 150*o**3.\nAnswer: -393*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 24*p + 50 = 0. Suppose 0 = 2*o - 6*o + 3*l + 33, -34 = -4*o + 2*l. What is the remainder when o is divided by (-20)\/(-6)*(-18)\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(5\/2)\/b))\/(b*b*b\/b**2)*(b\/b**(-2))\/(b*b*(b\/b**(-1))\/b*b))\/(((b*b**(-3\/5))\/b)\/(b*b\/b**(1\/12)))**44 assuming b is positive.\nAnswer: b**(3247\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2018, -146, 5, -2 in decreasing order.\nAnswer: 5, 2, -2, -146, -2018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (-74 - -33) + (4 - 65).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 159 and 432374.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 9*m - 8. Let o be b(7). Suppose 28*j + 24 = 32*j. Is o at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1686*m = 1643*m + 172 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {x: 3, k: 2, r: 4}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -203, -210, -223, -242, -267, -298?\n\"Answer: -3*h**2 + 2*h - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 3*q. Let d(s) = -s**3 - 51*s**2 - 98*s + 5. Calculate the remainder when j(-3) is divided by d(-49).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {o: 2, v: 3, f: 2, e: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 4. Let i(o) = -7. Let n(l) = -6. Let h(j) = -5*i(j) + 6*n(j). Let f(c) = -5*h(c) - z(c). Suppose 4*q + 9 + 7 = 0. Determine f(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 7*m = 4354. Suppose 3*t + 5*y - m = 0, -4*t + y = -2*y - 868. What are the prime factors of t?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 4. Let g = 1 + d. Let y be 128\/24 - 1\/3. Which is the third biggest value? (a) 2\/13 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*9\/(-225)*(-60)\/32\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**2 + 5*w**2 + 12*w + 1 - w**2. Suppose 4 = -2*k + 2, 0 = 5*b - 4*k + 56. What is the units digit of v(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5470\/55 - (-24)\/44. Let v be 2\/(-9) + (-12428)\/126. Let j = v + l. Is 1 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 24565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, w: 1, l: 1, i: 2, t: 4, c: 5}. Give prob of sequence ijl.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 1216133, -3\/4 in decreasing order.\nAnswer: 1216133, 39, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/905 or -1?\nAnswer: 7\/905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-12))\/(54\/144). Suppose 0 = -0*l - 5*l + 10. Which is the smallest value? (a) j (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 17268 = 8*a - 6*p, 4*a + 5*p = 8616. Calculate the remainder when a is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -19*a + 86 + 72 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 2 + 332*1\/(-44)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 - 79. What is the remainder when 76 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7487 is divided by 274.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -22. Suppose 2*w - 2*u - 4 = -6*u, 4*w + 3*u = 8. Differentiate -c + 0*c + w*c + c + b wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 + 188*z\/3 - 380\/3.\nAnswer: (z - 2)*(z + 190)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 5:22 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5510 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - -5. Factor 8 + 24*k - g - 4*k**2 - 25.\nAnswer: -4*(k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59.1 - -59. What is the second biggest value in -3, -1, g, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**1*j**(-1\/3)\/j*(j\/j**6)\/((j**(-2\/11)\/j*j)\/j) assuming j is positive.\nAnswer: j**(-137\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1.2. Let j = l - -0.15. Let t = -99633.1 + 99633. Which is the closest to t? (a) -2\/13 (b) 2\/15 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 3, b: 12}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -277216 and -277218 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 5*c = 8*j - 25, 0 = 2*j + 4*c + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i + 2. Let s be a(2). Let v = s + 1. What is the least common multiple of 3 and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/57197106 and -19\/1044.\nAnswer: 114394212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*m + 351*m**3 + 494*m + 3078*m**3 + 112*m.\nAnswer: 3429*m**3 + 769*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 494131342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spmx when four letters picked without replacement from mhllmslxmpmlxx.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-35)*5*(-1 + 2). Let l(f) = -21 + 5*f - m*f + 61 + f. What is the units digit of l(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -148*p + 4930. Is 6 a factor of n(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3*m + 4*m + 4*m)*(3 - 5 + 3) to v + x*m and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - h**2 - 4*h - 5. Let u be b(-2). Let k(p) = p**2 - 7*p - 5. Let o be k(5). Let s = u - o. Solve -s = 4*v - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.820273 millennia in centuries?\nAnswer: 8.20273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/36 and -81\/120825400.\nAnswer: 1087428600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3322 - 928*d + 50502 + 2*d**2 + 2*d**2.\nAnswer: 4*(d - 116)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((30\/(-8))\/3)\/(3\/24). Let a(n) = -n - 8. Let k be a(p). Solve 3 = k*w - w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -15*i**2 - 29*i - 79. Determine t(-4).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 + j**3 + 7 + 2*j**3.\nAnswer: 5*j**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1.4, 2, 1\/17 in increasing order.\nAnswer: -2, 1\/17, 1.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 51. Calculate f(-20).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 17477.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 4)*(-2 + 2 - 1)*(53134 + 16*c - 53134)*(-1 + 0*c + c + 3).\nAnswer: 16*c**2 + 32*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-45)\/(-540))\/(13\/(-8)))\/((-121)\/363).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1289*o**2 + 669 - 1291*o**2 + 650 - 278 + 156*o**3 wrt o.\nAnswer: 468*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(0 + (-6)\/15). Solve 5*k - k + 21 = y*r, -2*r - 10 = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 + -3.03. Let x = 18 - 29. Let c = x + 16. Put -2, c, v in descending order.\nAnswer: c, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-16))**47*(t\/(t\/(t\/t**4)*t))**(-3\/2) assuming t is positive.\nAnswer: t**(-746)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from kkhhhnnkkknkhnkhkkh.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5858847, 5858836, 5858827, 5858820, 5858815?\n\"Answer: b**2 - 14*b + 5858860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24478 - -34445. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 45 = 3*u, -3*u + 3*s - 18 + 66 = 0. Suppose -u = -30*z - 49. Which is bigger: z or -1\/229?\nAnswer: -1\/229","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(286)*1)\/(sqrt(33)\/sqrt(3)*-4))\/((5*sqrt(16) + sqrt(4) + sqrt(4) + sqrt(4))\/(sqrt(2) + sqrt(2) + sqrt(300)\/sqrt(6) + sqrt(2))))**2.\nAnswer: 64\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(75)*1.\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*b**2 - 95*b**3 + 93*b**3 - 41*b**2 - 39*b**2 - 39*b**2 + 57*b**2.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*y**3 + 15*y + 20*y**3 - 13*y - 48*y**4 + 50*y**4 in the form m*y + f*y**4 + v*y**2 + h*y**3 + x and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 8:45 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*u**2 + 32\/5 + 8\/5*u.\nAnswer: -4*(u - 4)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -45*b. Let d(o) be the third derivative of -o**6\/240 + 4*o**4\/3 + 58*o**2. Let g(s) be the second derivative of d(s). Calculate g(m(v)).\nAnswer: 135*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, u: 2}. What is prob of picking 2 g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -882?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 18204 = -5*x, -5*x + 22800 = 68*n - 63*n. What are the prime factors of n?\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6811413, -13622789, -20434165, -27245541, -34056917, -40868293?\nAnswer: -47679669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-2) - 2\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -341*s**3 + 2*s**2 + 3*s - 3. Let r be x(-2). Suppose -513 = -3*v + r. What is v rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 900867 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 415*n + 154529. What is z(-237)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009867242 to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 376949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 69281 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5\/((y*y\/(y*y\/(y*y**(-6)\/y)))\/y))\/((y*y*y\/y**1)\/y)**16 assuming y is positive.\nAnswer: y**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261133 = 66*p + 24325. List the prime factors of p.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3540990.\nAnswer: 2, 3, 5, 118033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*y + 133*y + i - 77 = 0, y + 4*y - 13*i - 99 = 0 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.96 times -0.32?\nAnswer: 1.2672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/24 - ((3 - 2) + -5)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -26507*l**2. Let w(d) = -11*d. Calculate w(n(s)).\nAnswer: 291577*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 4*w**2 + 2*w + 4. Let b be k(5). Suppose b + 54 = -3*z. Let y = 46 + z. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -1. Let x be ((-10)\/15)\/(g\/(-3)). Suppose -x*m + 10 = -m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28215, 28241, 28285, 28347, 28427?\nAnswer: 28525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 430*v**2 - 58*v - 302. Calculate x(0).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 868 = 4*r, n - 150 - 69 = -r. Let k = r - 68. What is the highest common factor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15*(-20 + (-1029)\/(-42))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (38880\/(-70))\/16*(2 - 9). What is the greatest common factor of 36 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 117060358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 16*w**3 - 11*w**2 + 5*w - 11. Let v(q) = 3*q**3 - 2*q**2 + q - 2. Determine 2*c(a) - 11*v(a).\nAnswer: -a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**3 + 2 + 2*b**3 + 4*b + b to q*b + h*b**2 + t*b**3 + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(500) - (-1*sqrt(500) + -1 - sqrt(500)))*6 + -2*(sqrt(500) - (0 + sqrt(500))*-5)) + 4)**2.\nAnswer: 240*sqrt(5) + 18004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r = -41*r - 85*r - 7020 for r.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, 380, 629, 950, 1367, 1904?\nAnswer: 2585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/7 + 9*n**2 + 780*n\/7 - 800.\nAnswer: (n - 5)*(n + 28)*(n + 40)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -21. Let r(i) = -2*i - 1. Let b be r(-3). Let g(t) = t**2 - 4*t + 4. What is the remainder when v is divided by g(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51592.755 - -120.755. Let z = c - -51553.071. Let r = z - 81. Round r to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 771932102 to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79 + -76. Solve 5*x - 2*l - l = -5, 3*x - l = -s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 12:29 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 5*z - 3. Let t be j(5). Let y = t + 5. Let h = 2 - -2. Solve -h*k = 20, -l + y*k - 7*k = 21 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -175*q**2 + 175*q**2 - 7*q**3 + (0*q**3 - 2*q**3 + q**3)*(-2 + 2 - 2) - 1 + 1 - 4*q**3 in the form j*q + r*q**2 + z*q**3 + k and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803658 is divided by 200905.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-810)\/24))\/(1\/5)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 511839 and 8804592?\nAnswer: 2403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 70268.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2218*b = 2153*b + 585 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -7. Let c(v) = -v**3 + v**2 + 23. What are the prime factors of c(m)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in 0.3, -2, 0, 46, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 88\/(-234) + ((-207)\/828)\/(18\/(-16)). Which is the nearest to -1\/2? (a) p (b) -11 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -200285 (b) -14 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/3 - 157221*b**2 - 314443*b - 471665\/3 = 0.\nAnswer: -1, 471665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -34. Let b = o - -37. Solve -v + 4 - 3 = b*j, 0 = -2*j + v + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 87 = 4*o. Calculate the greatest common divisor of o and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32612 + 32616. Which is the biggest value? (a) j (b) -1 (c) -1\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzrfrrrrzrrrzzzfz. Give prob of sequence rrzf.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cllclcclllllcccllcc. What is prob of picking 1 l and 3 c?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-8)*(4 - 6). Suppose 5*f = 5 + 15. Suppose 0 = -0*g + g + 5*n + 18, -f*g + 5*n + 28 = 0. Solve 5*a = -u*p + 5, 3*a - 2 = 8*a - g*p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3400067.8 times -0.1\nAnswer: -340006.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/705 and ((-9027)\/1020 - -11)\/(3\/(3\/(-2))).\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18863 is divided by (-10846)\/(-680) - (5\/(-100))\/1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 3. Let o be b(-5). Suppose -30 = -0*v + o*v. Is 7 a factor of ((-56)\/(-10))\/((-6)\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -824, -826, -828?\nAnswer: -830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 48 = -3*u - 4*m + 1, 547*u - 4*m + 0*m = -503 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2\/11 (b) -0.08 (c) 0.04 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/6 - (-1475)\/10?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 27 = 5*z - 5, -z + 19 = -5*g. Suppose -t - z*l + 8 = 0, -3*t + 5*l = -2*t + 1. Solve -24\/5 - 12*k - 54\/5*k**2 - 21\/5*k**3 - 3\/5*k**t = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 145 = -5*o, d + 3*o - 1803 + 1889 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*y = 421*y + 64 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-3)*o*o*o**(-7)\/o)\/((o*o**(-8)*o)\/(o\/o**9)) assuming o is positive.\nAnswer: o**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1908*x - 24 = -1914*x. Let k(s) = s**3 - 6*s**2 + 5*s - 5. Let c be k(5). What is the second biggest value in -1, c, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -2, 24, 5.\nAnswer: -2, 2\/7, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 8:42 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2850828 and 673.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -495, -0.011, -67?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13.7, -3\/2, -10\/21?\nAnswer: -13.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 497?\nAnswer: 497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12326464 to the nearest integer?\nAnswer: 3511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111000001110 - -1110111001001?\nAnswer: -10000001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (344 - 2) + 3*-1. Let i = 907 - q. What are the prime factors of i\/26 - 8\/(-52)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.0317.\nAnswer: -0.1268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -337.454 + 337.854. Let g = -4 - 0. Let u be g\/6 - (-5)\/3. Which is the closest to u? (a) -2\/9 (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -31662 and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.5 (b) 3 (c) 398\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317*i = -315*i - 4. Let r(a) = i*a + 31*a - 31*a. Let c(f) = 17*f - 15*f + 27*f. What is r(c(o))?\nAnswer: 58*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/91, 632375, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10685786 and 10210?\nAnswer: 2042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 26 = -2*i, -i + 0*d + d = -9. Suppose -k - i = -2. Let x be k\/(27\/(-10)) - 0. Is 2 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003526 rounded to 4 dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, i: 4}. Give prob of sequence idd.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -695.\nAnswer: -4\/695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 436234 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*f - g - 14, -4*g - 16 = 2*f. Let w(p) = 58*p + 313. Let r be w(-5). Sort f, r, -2.\nAnswer: f, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -598 + 598. Let c = 0 - -0.1. Put -4\/5, c, w in increasing order.\nAnswer: -4\/5, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -29*u - 100. Let y = 151 - 158. Let z be g(y). Calculate the greatest common factor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (12 + -8 - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7370034, -7370161, -7370286, -7370409, -7370530, -7370649, -7370766?\n\"Answer: d**2 - 130*d - 7369905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011 (base 5) to base 2.\nAnswer: -1011110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/11 - 22512\/(-99495)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.2105172 to two dps.\nAnswer: -5.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 0*i + i + 4 + i. Let h be d(9). Let f = -5 + 23. Solve 5*r + h = -3*j, -j + 3*r + f = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1201102211 (base 3) to base 4\nAnswer: -20100331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/4923 + 221543\/19692. Calculate the common denominator of m and 97\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-839)\/112 + 8 - (-32)\/(-56).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84263823 to the power of 1\/2, to the nearest integer?\nAnswer: 9180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2076.8 - 2077. Let k = 4.37 - 0.37. Which is the closest to g? (a) k (b) 2\/13 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11913876 to the nearest integer?\nAnswer: 3452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (61 - (-1833)\/(-39)) + 42\/(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 3*v = -2*s, 6 = -2*s - 3*v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t + 20*t = 1058333. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 19*j**2 - 1. Let f(p) = -228*p**2. Give m(f(z)).\nAnswer: 987696*z**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -34. Let a be (-1)\/(5\/(-2) - 21\/14). Find j such that -3\/2*j - a - 3*j**g - 2*j**3 = 0.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 35*m**2 + 169*m + 195. Determine n(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 7*t + 15. Let z be 10\/t*3\/(-2). Suppose z*m - 68 = -k, -4*k = 3*m + 2*m - 62. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(76)\/(sqrt(4) + sqrt(44)\/(sqrt(891) + sqrt(11))) - ((sqrt(684) + 2*sqrt(684))**2 - (1 + (sqrt(171))**2 + sqrt(19)))) + 5)*-1.\nAnswer: -21*sqrt(19)\/11 + 5982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-1200)*4*(-5)\/(-13)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2364827400 a multiple of 1404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25674036\/7 > 3667719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 992 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 215.05 + -215. Which is the closest to -1? (a) u (b) 0.1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {s: 4, a: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxocccxcooocc. What is prob of picking 1 o and 1 x?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 33*u**3\/5 + 48*u**2 + 63*u\/5 = 0.\nAnswer: -7, -3\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 74009623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 146, 294, 442?\n\"Answer: 148*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i - 6. Let o(g) = 2*g + 6. Determine -6*o(j) - 5*p(j).\nAnswer: 3*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83 and 996?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, -5, 5, 1395, -15 in decreasing order.\nAnswer: 1395, 5, 1, -5, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + i - 5. Let v(d) = -6*d**2 + d. Suppose -1 = 3*q - 4*s, -q + 5*s - 10 = -6*q. Let x be v(q). What is the units digit of r(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/6 - 46*c**3\/3 + 94*c**2\/3.\nAnswer: -c**2*(c - 2)*(c + 94)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -215, -338, -477, -638, -827?\nAnswer: -1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 * -55919\nAnswer: -9506.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(10\/7)*k)\/k*k*k**15*k assuming k is positive.\nAnswer: k**(129\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 2 - (-14 - -11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(72) + sqrt(72))*-3 - (sqrt(4)\/sqrt(50) - (1*sqrt(16))\/sqrt(8)).\nAnswer: -176*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 15 + 2*w**2 + 0*w + 1\/4*w**4 + 0*w**3. Let k(v) = -v - 6*v + 0*v. Calculate -3*k(t) - 4*x(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*r + 131 + 19, 15 = -5*r. Let x = -2 + 20. What is the greatest common factor of x and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/5)\/d)\/d**(1\/2)*((d*d\/d**0*d)\/d)**(-41))\/((d*d**(-1\/4))**34\/(d*d**(-4)*d*d*d*d**0)) assuming d is positive.\nAnswer: d**(-543\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2160, 3\/2, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4209 - 4214. Let x = -4 - -6. What is the nearest to 0.2 in k, -6.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41\/(574\/(-42))*(-380)\/30\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15, 25, 35?\n\"Answer: 10*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**14\/f*f*f**(1\/3) assuming f is positive.\nAnswer: f**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28368727?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -26*q + 134. Let f be p(5). Let j(r) be the second derivative of 0 - 5\/33*r**f + 6\/11*r**2 + 1\/33*r**3 + 5*r + 3\/110*r**5. Let j(n) = 0. What is n?\nAnswer: -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 97 + 8*v - 97 + (3 - 2 - 3)*(v + v + 5*v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.083114096 and 11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from {c: 3, j: 7, s: 1, v: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 216 + -195. Solve 50 = p*g - 11*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 1824 = -14*r. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.41. Let d = 0.41 + r. Let c = 3 - -1. Sort d, 1\/3, c.\nAnswer: d, 1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20221 (base 5) in base 7?\nAnswer: -3552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -0.04, 2, -93 in descending order.\nAnswer: 2, -0.04, -4\/7, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5 - 78*p**4 + 600*p**3 - 1344*p**2 = 0.\nAnswer: 0, 4, 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 11*g + 10. Let i be j(-12). Let f be (-10)\/((-48)\/(-26) + i) - 1. Let a = f + 17. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107 + 107. Suppose n = 4*l - 15398 - 8526. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*q - 27 = 0, -52*z + 5*q - 92 = -55*z. Calculate the remainder when z is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1021ba (base 12) to base 16\nAnswer: -3da9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.01343 * -324.04\nAnswer: -4.3518572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-20)\/(-15))\/(-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zttmchw. What is prob of sequence wm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**2*o*z**3 + 9*m**2*o*z + 5263*m**2*z + 216*o + 3*z**3 with respect to o.\nAnswer: m**2*z**3 + 9*m**2*z + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -297476, -297474, -297472, -297470, -297468?\nAnswer: -297466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1028, -1238, -1810, -2924, -4760, -7498, -11318, -16400?\n\"Answer: -30*f**3 - f**2 + 3*f - 1000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y = 5*y + 11*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/242 and -47\/77682.\nAnswer: 77682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 12 = -j, 24*j = 5*n + 38 - 251 - 75 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 8*u - 72. Suppose -4*q = -u - 76. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -372589379*q + 321817435.\nAnswer: -372589379","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = o - 3*u, -4*u + 59 = 3*o + 2*o. Calculate the remainder when 26 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 14) in base 4?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 - 0.04. Let w = 0.10835813 - 0.04835811. Let k = w + o. Round k to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 624 - 387. Let l(y) = -2*y**2 - 35*y + 125. Let f be l(3). What is the first derivative of 225 - h - c - f*h wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2441 + 73507?\nAnswer: 76150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*d, -x + d + 9 = -4. Let z be 5\/3*(x + 1933). Suppose -3*h + z = 5*r, -3*h - r = -2973 - 266. What is h rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + 7. Let l = 24.5 - z. Let t = 608 + -604. What is the nearest to t in l, -2, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002178 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2. Let h(v) be the second derivative of v**3\/2 - 10*v. What is h(a(d))?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 5*i - 2. Let u be n(6). Let x be (3\/u)\/((-2)\/(-8)). Solve m - 8 = x*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jojrgjr. What is prob of sequence ojg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*a - 6*a + 37*a**2 + 43*a - 9*a**2 + 7*a**2.\nAnswer: 35*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -374 + -5015?\nAnswer: -5389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(k + 0*k + 0*k)*(8 - 6 - 35).\nAnswer: 66*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 1. Let h be -4*((-2025)\/(-10))\/(-9). Suppose 4*b - h = -5*w, 0*b = -3*b. Calculate the remainder when w is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 less than -309.9241?\nAnswer: -321.9241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109369, -109386, -109413, -109450, -109497, -109554?\nAnswer: -109621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 423411 to the power of 1\/2, to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 222.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 290730773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 15 = 2*z, -5*s + z = -7*s + 6. Suppose -s*d + 134 = 2*t - 61, -303 = -5*d + 4*t. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from xxisiikkxxxxskxx?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/1595 and 4\/2233.\nAnswer: 11165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -52, -43, -30, -13, 8, 33?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4.705 times -0.002\nAnswer: 0.00941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -656070 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -2*d**3\/3 + 8*d**2 + 107*d. Let n be z(5). Let i(b) = -11*b - 3. Determine i(n).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*k + 4*k. Let p(f) be the third derivative of -f**4\/24 - 2*f**3\/3 + 28*f**2. Determine p(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 708.\nAnswer: -1\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154538 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a3 - -7?\nAnswer: 2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 e when three letters picked without replacement from qjveq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-870)\/(-24) - 29)*-4?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 28652 = 4*u, 12*u - 13*u + 7175 = -z. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257915 divided by -51583?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*a + 318 = 39, 6*x - 24 = -x + 2*x + 4*a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n. Let o(q) be the second derivative of q**5\/15 + 6*q**2 - 4*q. Let x(w) be the first derivative of o(w). Give x(v(y)).\nAnswer: 324*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 97 - -1?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (17 - 7)\/((-4)\/(-2)). Suppose 0 = t*g + g - 432. Let p = g + -31. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5687?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 5:58 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 6768?\nAnswer: -1\/3384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4354 is divided by 208.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a. Let n(b) be the second derivative of b**7\/280 + b**6\/720 + 61*b**4\/12 - 86*b. Let l(x) be the third derivative of n(x). Determine f(l(c)).\nAnswer: 9*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, -2, 6 in decreasing order.\nAnswer: 6, -2, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 1636*p**3 + 2*p**2 - 3*p + 2. Let s = -34 - -39. Suppose 0 = s*z - 2 - 3. Is a(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 - 3.99. Let w = -0.837 + -129.163. Let z = w + 133. What is the third smallest value in z, k, -10?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 - 1088\/(14\/(-7))?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 4*t**2 - t - 3. Let x be w(4). Let h = 26 + x. Calculate the remainder when ((-148)\/6)\/(-2 + (-25)\/(-15)) is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -4, -1, 0 in ascending order.\nAnswer: -4, -1, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -180.9 - 3464.1. Let f = -3648.086 - l. What is f rounded to one dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -4*i - 12, 156*i + 161*i + 4 - 3 = 314*i - u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is f2c (base 16) in base 13?\nAnswer: 19ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7437 = -0*j + j + 2*r, -4*r - 14866 = -2*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 102552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.48, -1\/6, -5, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 13 = -3*t, 4*k + 21 = -t + 6*t. What is the second smallest value in t, -0.5, 4\/7, 1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1637394950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 253360*n + 29136399. Calculate p(-115).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*g**3 + 17662*g**2 + 8669097*g + 3849444.\nAnswer: (g + 981)**2*(9*g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 3311\/172 - (7 - 2).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 253242 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827 is divided by 105?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.04, 2.086, 3.4?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280628.\nAnswer: 2, 70157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most as big as 0.040717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2 - 24) + (-836 - (-438375)\/525)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**4\/2 + 25*v**3\/3 - 3*v**2\/2 + 16*v + 100. Let a(q) = -q**3 - 12*q**2 + q - 7. Let z(c) = -5*a(c) - 2*n(c). Give z(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 2. Let z(x) = 8*x. Let y(q) = 3*g(q) - z(q). Let r(k) = -2*k + 5. Let l(p) = 3*p - 10. Let i(a) = 2*l(a) + 5*r(a). What is -6*i(t) + 5*y(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 390363, 58 in increasing order.\nAnswer: 4, 58, 390363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-1)*(3 + -9). Suppose g + 30 = u*g - 4*d, -4*g = -d - 24. Let n be g\/(-24) - (-22)\/(-8). Let c(i) = -i**3 - 3*i**2 - 3. What is c(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 6*d**2 - 2*d + 2. Let p be c(5). Let u = 19 - p. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 116*p + 3293. Give s(-59).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 523532254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 0 - 3*j + 2\/3*j**4 + 1\/2*j**2 - 1\/10*j**5 - 3\/10*j**6 - 2\/21*j**7 + j**3. Factor t(r).\nAnswer: -(r - 1)*(r + 1)**3*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 8*n - 19 = -21*n, -2*n = 13*g - 5 + 81 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -11\/250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -10*m + 18. Does 6 divide a(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 1, -2, -3, -78, 566 in decreasing order.\nAnswer: 566, 20, 1, -2, -3, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (25 - 11) - -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 2*s**4 + s - 2. Let y(k) = -3*k**2. Give y(z(n)).\nAnswer: -1728*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 35*v**2 + 49*v + 440. What is the remainder when f(-8) is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 216*u**3 - 431*u**3 - 2*u**4 + 216*u**3 - 1 - u**4 wrt u.\nAnswer: -12*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128 by -14.\nAnswer: -64\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2928 and 10800.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**3 - 509053*r**2 + 1710125*r?\nAnswer: 12*r - 1018106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-171)\/38 + 2\/2. Is u smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 24*b**2 + 0*b - 13\/3*b**3 + 29. Find the second derivative of u(v) wrt v.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s - 11. Let l be y(1). Let w(p) = -60*p**2. Let v(i) = -2*i**2. Let q(b) = l*w(b) + 198*v(b). Let z(x) = x**2. What is q(z(h))?\nAnswer: -36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o*q**2*t**3 + 155*o*q**2 + 5*o*t**3 + 83*q**2 + 7*t**3 - 2 wrt o?\nAnswer: -q**2*t**3 + 155*q**2 + 5*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 12:39 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -1276, -0.015 in descending order.\nAnswer: 30, -0.015, -1276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Let z = -1663 - -8312\/5. Let v = -103 - -103.3. Which is the fourth smallest value? (a) z (b) v (c) -5 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (5 + 4) - (-2 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 24?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.99754 - 0.03446. Let y = i + -0.068. Let u = -16 - y. Put 1\/4, -1, 1, u in descending order.\nAnswer: 1, 1\/4, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 80587430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -70*p - 3. Let g(x) = -2*x**3 + x**2 + x - 1. Let b be g(1). Let s be n(b). Suppose -6*d + s = 1. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3693085 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 + 1981*l - 726*l - l**3 - l**3.\nAnswer: -2*l**3 + 1255*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-9)*1*6. Let p = 1 + m. Let w(u) = 2*u**2 - u + 1. Determine w(p).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-20))\/(140\/700). Factor -50\/3*p + 12 - 32*p**2 - 10\/3*p**q.\nAnswer: -2*(p + 1)*(p + 9)*(5*p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*j, 2*u + j = 4*u + 13. Let i(g) = -g**3 + 6*g**2 - 13*g + 8. Let s be i(3). Do u and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*3\/(-2)*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22123122302 (base 4) in base 12?\nAnswer: -aba042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1037*a - 13069. What is g(12)?\nAnswer: -625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -7. List the prime factors of (-1)\/(-2) + (462\/4 - u).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from {j: 9, k: 10}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/8 - 18330986*q + 672050095464392.\nAnswer: (q - 73323944)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -38.6, 1\/36, 3 in decreasing order.\nAnswer: 3, 0.2, 1\/36, -38.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/18 and 88\/666*(40248\/384)\/(-43).\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-428)\/(-321)*(-135)\/(-780).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119670, -478685, -1077044, -1914747, -2991794, -4308185, -5863920?\nAnswer: -7658999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*b + b + 60 = 0, 3*b - 81 = -3*r. Suppose -13*z + 754 + 156 = 0. What is the highest common divisor of z and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 51*g**2 + 5*g + 51*g**2 + g**3 as p*g**2 + m*g + b*g**3 + f and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -107 (b) -2 (c) 0 (d) 11 (e) -2\/39 (f) 3 (g) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -26 + 0*j - 34 + 67 + j. What is f(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*i = 10 - 41, -2*m - 5*i + 23 = 0. Suppose -s - m = -2*j - 2*s, 5*j - 10 = 2*s. Factor 8*x**j - 2*x**5 - 8*x**2 - 2*x**4.\nAnswer: -2*x**4*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1178653899*k*w**3 - 5*w**3 + 2*w**2 - 3041375*w + 6 wrt k?\nAnswer: 1178653899*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**3 + 48*o**2 + 301*o + 2400. Determine i(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 7:26 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 i when three letters picked without replacement from {p: 7, i: 1}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.729992 rounded to 2 decimal places?\nAnswer: 1.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 8*y**4 - 383492*y**3\/5 - 2187076*y**2\/5 - 1227964*y\/5 + 115116 = 0.\nAnswer: -5, -1, 3\/10, 9593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.642316 - 0.142316. Let t = 0.2 + 0. Which is the nearest to -16? (a) t (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) -0.07 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w = 5*p + 23*w - 131, -3*w = 8*p - 155. Solve -9*k + 7 = -8*k - 3*s, 5*k = 2*s + p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1915621.\nAnswer: 107, 17903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 22*((-3)\/20*(-676)\/169)\/((-22)\/20)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.3589ml in litres?\nAnswer: 0.0143589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -1012501*c - 8. Let n be q(-8). Round n to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from {c: 2, q: 2, h: 8, t: 1}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 0 - 1\/20*f**5 + 4*f - 13\/12*f**4 - 2*f**3 + 7*f**2. What is the tens digit of b(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1197 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002631898 rounded to 4 decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65910 by 6.\nAnswer: 10985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16205937967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 65 and -193?\nAnswer: -12545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = -2*x - 17*n - 58, 2*x + 2*n - 20 = x + 3*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -154*b - 1 - b**2 + 154*b in the form m*b**2 + n + q*b and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 3*c - 2. Let l = 75 - 79. Calculate g(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001628 rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**5\/10 + 170*u**4\/3 - 61*u**2\/2 + 2*u - 1735. Find the first derivative of d(z) wrt z.\nAnswer: 6*z**2 + 1360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.367 + 2.19. What is g rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**2 - 3284*o - 2696164 = 0.\nAnswer: -1642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-333)\/(-1443)*(8\/(-30))\/(4\/10). Let r be 3\/(-6) + (-79)\/(-2). Which is the nearest to 0? (a) x (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 117*m - 116*m - 10. Calculate the remainder when 378 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l - 33. Let c(a) = a + 12. Let d(j) = -11*c(j) - 4*k(j). Let u(q) = 0*q**2 - 4*q**2 - 2*q**2. Give d(u(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1198\/(-26) - 1\/(-13).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26935, 44405, 61875, 79345, 96815?\nAnswer: 114285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 u when three letters picked without replacement from hshujjsssuyhyuhjywhu.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 377.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by (-1 + 2)*(5 - 50\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 3 - 23 - 144)*(-3 - 2 + 2*p - 9).\nAnswer: -366*p + 2562","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-4)*(-66456)\/(-14058)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4 = 0, 4*i + 9*l - 96 = 4*l. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -20, -3, -5.\nAnswer: -20, -5, -3, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5\/a**(1\/8))**(-1\/23) assuming a is positive.\nAnswer: a**(-39\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 6:32 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104047863.\nAnswer: 3, 34682621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43.084 + -43. Let r = j + -147.084. Let d = 147.0109 + r. What is d rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-429)\/(-455) + (-216)\/270. Factor 3\/7*o**3 + 0 + r*o**4 - 9\/7*o**2 + 5\/7*o.\nAnswer: o*(o - 1)**2*(o + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 205438788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.061456 times -5?\nAnswer: -0.30728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7258 and 1293?\nAnswer: -9384594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94 and 517.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from btgoqegbt?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 508\/3*q**3 + 0 + 2\/3*q**4 + 0*q - 170*q**2 = 0.\nAnswer: -255, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 171245*u**2*x**2 - 49*u**2*x + 203671*u**2 + 70 with respect to x.\nAnswer: 342490*u**2*x - 49*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 38 - 106 = -7*f, 32 = 3*f - j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -77 and -1.895.\nAnswer: 145.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3561 is divided by 476.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7099507 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2817, 2815, 2811, 2805, 2797?\nAnswer: 2787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -36*l + l**2 + 25*l + 12*l. Let t(h) = -4*h**2 + 2*h. Give 2*i(q) - t(q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 1141761?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941317 is divided by 1115.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*k = -78*k + 6600. Is 20 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from {z: 7, l: 1, y: 6}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110929*o**3 - 54930*o**3 - 55277*o**3.\nAnswer: 722*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 3)*(-184)\/24. What is the highest common factor of i and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 5, -1, 3, 88 in descending order.\nAnswer: 88, 5, 3, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 100848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 110 = 5*v, -v + 3 = -4*s - 1. Suppose 4*l = -4*i + 36, 5*l = -i + l + v. What is the derivative of 4 + 3*d**i + 0 - 2 wrt d?\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 11*z**2. Let c(w) = w**2 - w + 499. Calculate c(g(f)).\nAnswer: 121*f**4 - 11*f**2 + 499","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24432?\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 406*r - 408*r - 6, 4*p + 4*r = 29132. What are the prime factors of p?\nAnswer: 2, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: a5 (base 14) to base 4\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 14*w**2 + 28*w - 41. Let u be x(12). Let n(g) be the first derivative of 0*g - u + 0*g**2 - 1\/8*g**4 + 1\/3*g**3. What is t in n(t) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - 0 - 0) + -1 + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 358.5+-2296\nAnswer: -1937.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10429.9 and 543?\nAnswer: -5663435.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g + 40*g = 6640713. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 433*o**2 - 3*o - 3. Let v be z(-2). Let l = v + -20861\/12. What is the common denominator of -11\/18 and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.5 and 15?\nAnswer: -52.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 68.374 < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*k + 44 = 61*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*a = 31 - 21, 0 = -5*k + 3*a. Let s(g) = -10*g**2 - g - 4. Give s(k).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 119 + 5?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-11)\/4)\/((-36)\/16 - -2). Let a = b - -72. What is the remainder when a is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(55)\/sqrt(45) - (((-4*sqrt(121))\/sqrt(11) - sqrt(11)) + -5).\nAnswer: 5 + 16*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227 + 444 + 749*a - 219.\nAnswer: 749*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -i + 8. Is 2\/3 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, -39, -186, -339, -498, -663?\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y - 4*h + 18, -4*h = 0. Is ((-3)\/y)\/((-7)\/(-65478)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39492 and 30716.\nAnswer: 276444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 148856515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n**3 + 0*n**3 + 54*n**3)*(-3*n**2 + 0*n**2 - 3*n**2) + (-4*n**4 + n**4 + n**4)*(5*n - 4*n - 2*n).\nAnswer: -370*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -764667*-3\nAnswer: 2294001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 2*s - 6)*((-1 + 1 - s)*(-3 + 1 + 0) - 17*s - s - 3*s) as y + u*s**2 + i*s and give u.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*f*o**3*s**2 + 975812*f*o**3*s + 9516*f*o**2*s**2 + f + 199*o**2*s**2 + 9*o wrt o.\nAnswer: -216*f*s**2 + 5854872*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*y + 20. Suppose 7 = y*j + u + 28, 0 = -4*j - 3*u - 23. Let h = 6 + j. Is h smaller than -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*f + 39*f - 19*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/23, 1, -0.1, -48?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 8 = -11*i. What is the third derivative of -4*w**i + 5*w**3 + 6 - 6 wrt w?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2016 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 1 - 11. Let i(s) = 4*s**2 + r*s**2 - 7*s**2 - s**2. Let j(z) = -5*z + 5. Give j(i(a)).\nAnswer: 5*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 40 + 37 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 + -21201022?\nAnswer: -21201221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 1107553672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(28)\/sqrt(4)) - (sqrt(3) + (-5 + sqrt(3)*1)**2).\nAnswer: -28 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 18 = -l, -30 = -0*l + 3*l - 4*h. Let v = l + 10. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*w = -152*w - 3, 292 + 397 = 43*g + w for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(133) - sqrt(133)*-1) + sqrt(133))\/(sqrt(7) - (sqrt(7) - ((sqrt(63)\/sqrt(3))\/sqrt(3) + sqrt(7)))).\nAnswer: 7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8039.\nAnswer: 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 37, -3, 8, -42188.\nAnswer: -42188, -3, -1, 3, 8, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(11 - 27160\/2470). Is d > 247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*v + 5*s - 10665 + 10832, 24 = 3*v - 5*s for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2086*p - 730*p - 725*p - 632*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -908 + 912.53. Let r = u - 4.5299724. What is r rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85526, 342263, 770158, 1369211, 2139422, 3080791, 4193318?\nAnswer: 5477003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01330834613 to four decimal places.\nAnswer: -0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4863 at least -4865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35 or -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (47 - (116 + -37))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 195*k + 62457*k**2 - 62364*k**2 + 97 + 2 - 3*k**3.\nAnswer: -3*(k - 33)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 282.99998274 - 283. Round f to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 3*f**2 + 5*f - 3. Let r be m(3). Is r greater than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 8 = 0, 4*p + 4*y - 6 = 9*y. Which is the closest to 8? (a) 1\/98 (b) 1\/4 (c) p (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*6)**2 + sqrt(2178).\nAnswer: 33*sqrt(2) + 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 82, 168, 308, 514?\nAnswer: 798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: What is the second smallest value in 10, 2, 75, -0.3, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q - 3. Let u(o) = -3*o + 7. Suppose 0*g - 14*g + 266 = 0. Suppose 0 = -4*y - 4*a - g + 3, 5*y + 12 = 3*a. Calculate y*u(i) - 7*s(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 12:34 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 873065903?\nAnswer: 19, 1877, 24481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 140*i + 306*i + 263885 = 0. Which is smaller: -5336\/9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 95857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13885640 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, i: 4, w: 8}. What is prob of picking 2 i and 2 w?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t. Let y(m) = 3*m + 1 + 3 - 4. Let o(i) = -5*a(i) + 2*y(i). Let w(g) = g. Give 2*o(r) - 3*w(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1798 is divided by 556.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 90 (c) 1 (d) -0.5 (e) 0.4 (f) -5\/12 (g) 3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwe when three letters picked without replacement from weweeeweyeewweeewe.\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(-2)*50\/(-20)*-44?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3217144 and 368?\nAnswer: 147988624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5202 rounded to 3 decimal places?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.6 * -0.11.\nAnswer: -0.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*k**2 - 41*k**2 - 33*k**2.\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 6) + -5 + (77 - 93)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 620*i + 1078 + 6764 + 218 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4003770 and 740?\nAnswer: 8007540","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -107 + 196. Let w = -84 + p. Solve -w*a + 4*a = 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 132 - 131. Let g be ((-1)\/18)\/((-4)\/16). Which is the closest to w? (a) 3 (b) 0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*h + 453310 = -2419649, 4309386 = 3*o - 3*h. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 18 = -3*t + 7*t, 0 = -2*t + 3*u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/426998 and 57\/3614.\nAnswer: 59352722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8011687 by 19.\nAnswer: -8011687\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59992 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, p: 4, j: 1}. What is prob of picking 2 u?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5*x. Calculate the smallest common multiple of (8\/5)\/((-4)\/(-20)) and 2 + (x - (-2 + 0)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - m - 10. Suppose 2*b - 30 - 1 = -c, -50 = -5*b + 3*c. Suppose 2*o = 2*w + 8, -5*w + 4*o - 3 - b = 0. Determine n(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -407*p**3 + 6*p**2 + 6*p + 5. Let t be 0 - (-4)\/(4\/(-5)). Let c be g(t). What is c rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1189, -1200, -1217, -1240, -1269, -1304?\nAnswer: -1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/3321941 and 75\/2?\nAnswer: 6643882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-4\/15)*y*y**(-10\/3)*((y**(2\/41)*y)\/y)\/y*y\/(y**(-2\/29)\/y) assuming y is positive.\nAnswer: y**(-2867\/5945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 1)*(9*p - 5*p + 4*p)*(-90*p - 237*p + 140*p) to i + n*p**2 + t*p and give n.\nAnswer: 2992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (6 - 12) + -2 + -2 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/2, -0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11020111210122 (base 3) in base 14?\nAnswer: 429587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 256176 and 870.\nAnswer: 37145520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 152?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n - 11. Suppose 26 = 3*l + 10*l. Let p be q(l). Sort -4, -3, p, -2.\nAnswer: p, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of r*s**3*w + 10376*r*w - 29324*s**3*w + w wrt s.\nAnswer: 3*r*s**2*w - 87972*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = i. Suppose 2*o - 7*o = i. Does 2\/3 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 726*b - 712*b + 28 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45 - (0 + 4 - 0)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*b + 182 = -26*b - 301 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 296.88 - 5.\nAnswer: 291.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 = -0*i. Let w(u) = u**2 + 33*u - 434. Let l be w(-43). Which is the third biggest value? (a) 0.4 (b) i (c) l (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 166737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c + 18. Calculate the least common multiple of 174 and b(-24).\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, 1\/4, -120, 2\/39, -8, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 s when four letters picked without replacement from {s: 3, c: 9}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 4\/5 (c) 3\/7 (d) 1095\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1149 - 1141. What is the remainder when 294 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*l + 98, -5*h + 249 = 2*l + 2*l. Let z = -213\/4 + h. Which is the third smallest value? (a) z (b) -3 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/94 and -89\/660.\nAnswer: 31020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2399 = 5*g + c + 2455, 0 = 5*g + 5*c + 139 + 241 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 - 235 = 57*q + 316 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-2))\/6*1\/7*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 50\/(-5) - -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + l**2 - 7*l - 6. What is the remainder when r(5) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43089573 and -15?\nAnswer: 646343595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + s + (6*s - 3*s - s)*(0 + 3 - 5) - 3*s - 3*s + 4*s)*(-1 + 5 - 2)*(-4*s + 3*s + 3*s) to t*s**2 + n + x*s and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + 15567a?\nAnswer: 155666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 0)*(8*y**3 - 4*y**3 - 62*y**3) - 7*y**3 + 3*y**3 - 37*y**3 to p*y + i + h*y**2 + d*y**3 and give d.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 25*s - 55. Let o(h) = -4*h - 10. Let i(z) = 5*z + 14. Let m(u) = 3*i(u) + 4*o(u). Let v(k) = 4*d(k) + 110*m(k). Let r(f) = -18*f**2. Give v(r(c)).\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 22 + 11)*(-45 + 17*o + 45)*(-5*o**2 + o**2 + 2*o**2) as w*o**3 + i*o + a*o**2 + b and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*o*u**3 + 14*o*u**2 - 2430*u**3 wrt o?\nAnswer: -9*u**3 + 14*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22912, 47479, 73698, 101569, 131092?\nAnswer: 162267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1883, -7448, -16723, -29708?\n\"Answer: -1855*q**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.28 + 0.17. Let k = -0.11019 - j. What is k rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 490 - 17639\/36. Suppose -40*y = 2*n - 45*y + 3, 3*n - 1 = 2*y. Which is greater: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.03 and -21234.0073.\nAnswer: -21234.0373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 1)\/(1 + 0). Let c be (-1 - x)*(-2 + 1). Suppose c*f**2 + 4\/3*f**3 - 2\/3*f**4 - 4\/3*f + 2\/3 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24810 - -24809.397. Are q and 0.09 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24379210?\nAnswer: 2, 5, 139, 17539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 7*l + 3. Let s be m(6). Put -6, 5, -2, s in descending order.\nAnswer: 5, -2, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -176 + 23063\/131. Which is bigger: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c - 25. Let d be q(-18). Suppose -3*w = y + 42, -5*w + 3*y - 19 = d. Let m = w + 17. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**2 - i - 5. Let m(q) = 3*q**2 + q + 4. Suppose -3*w + 6 = -6. Suppose r = -w*r + 30. What is r*m(b) + 5*d(b)?\nAnswer: -2*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8696 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 20 = -28*x + 23*x, 0 = -5*j - 4*x + 25. Let t be (0\/(-1))\/(-2 - -3). Solve t = 3*y - j*y + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from bwwwwwb?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -1.11, 4 in increasing order.\nAnswer: -3\/2, -1.11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = z + 2*c - 58, 4*z = c + 1631. Suppose -25*j + 5758 = 192*j - 5309. Calculate the highest common factor of j and z.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w = -20*w + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 + 3*z**4 + 0*z**4 + (-2*z**4 - 4*z**2 + 4*z**2)*(-1 - 1 + 0) + (2 + 0 - 1)*(4*z**4 - 4*z**4 - z**4).\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17655, 17595, 17509, 17385, 17211, 16975, 16665?\nAnswer: 16269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -1921?\nAnswer: 191a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2*sqrt(189))\/sqrt(9))\/(sqrt(49)\/(1*sqrt(7))).\nAnswer: -5 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x - 43. Let g be w(-8). Suppose -g*t = -17*t + 16. What is the units digit of -1 + (-1 - t) + (162 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (22 - 2) + (2 + 2)\/(-4). Suppose -i*z + 108 = -15*z. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -478*p - 5. Let o(s) = -2*s**2. What is t(o(v))?\nAnswer: 956*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/26)\/((-3)\/(-12)). Find j such that 0*j - q*j**2 + 0*j**3 + 2\/13 + 2\/13*j**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**4 - 16*r**3 - 24*r**2 - 16*r - 4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**2*y**3 - 70*b**2 - 15*b*y**3 - 213538*y**3 - 596881*y**2 wrt y.\nAnswer: 12*b**2 - 90*b - 1281228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-214)\/52*2 + ((-10917)\/2426)\/((-1)\/2)\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (180\/(-405))\/((-6)\/81)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -138 + (45 - 12 - -6).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1676556001?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37350 by -30.\nAnswer: -1245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 223\/310 + -3089\/2635. Find the common denominator of 81\/4 and s.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 163 + -163.4. Sort 5, s, -3.2.\nAnswer: -3.2, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q*q**(1\/2)*q)*q*q)\/(q**(1\/3)*q))\/(q\/(q*q**(-3))*q)**(-2\/107))**(1\/8) assuming q is positive.\nAnswer: q**(155\/5136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c**2 - c. Let d be (-15)\/20 - (0 - 450\/(-8)). Let p = d + 56. What is a(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48895, 95486, 142079, 188674, 235271?\n\"Answer: q**2 + 46588*q + 2306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 702.1055 rounded to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekkkee. What is prob of picking 1 e and 2 k?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a + 560 = -33*a. What is the greatest common factor of a and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 12086151*g**2 - 12172890284133*g + 60864753574815.\nAnswer: -3*(g - 5)*(g + 2014361)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-10))\/((-12)\/(-30)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 4. Let y = 15287 - 15291. Let b(x) be the second derivative of 5*x**2\/2 + x. What is y*b(i) + 5*j(i)?\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5421 = -20*i + 5401 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/686 and -9\/8?\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 581 and 8.\nAnswer: 4648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13171?\nAnswer: 13171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2907 = t - 2*q, 3*q = -3*t - q + 8741. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*s**3 + 2*s + 0*s - 3*s**3)*(s - 8*s + s) - 11*s**4 + 2*s**4 + s**4 to d*s**2 + y*s**3 + r + o*s**4 + h*s and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8\/3 + 5\/2. Which is the third biggest value? (a) -3 (b) -4 (c) 0.1 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*c - 6 = 0, -9*k + 3*c + 42 = -6*k. Suppose -4*a + 12*a = k. Suppose 2*z + 2*n - 301 = 7*n, 153 = z - a*n. Is 20 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l + l)*(0 + 2 - 4)*(32 - 152 + 493 + 1331).\nAnswer: -6816*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -4) + (9 - (-10 - (-12 - -5)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000283 rounded to 7 decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -34*d - 1472. Let i(u) = 28*u + 1475. Determine 6*i(o) + 5*k(o).\nAnswer: -2*o + 1490","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 756805.2198 to the nearest one hundred.\nAnswer: 756800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -63177.05, 2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10882492919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = n + 5*a, 6*a - 8 = -26. Calculate the remainder when n is divided by 14 - (0\/4 + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -622 + 6224?\nAnswer: 5402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -237, -3.\nAnswer: -237, -3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*b - 146*b**2 - 14*b + 3*b**2 + 25*b to the form l*b**2 + v + i*b and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9 - 3 = 0. Let a(v) = 134*v + 3*v**f - 134*v. Let r(c) = 2*c. What is r(a(n))?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + sqrt(11) + (sqrt(33)\/sqrt(3))**2).\nAnswer: 6*sqrt(11) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**11*c)\/(c*c*c**(1\/3)))**(2\/35)\/(c**4\/(c**(-4\/9)\/c))**(-5) assuming c is positive.\nAnswer: c**(8767\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192439340?\nAnswer: 2, 5, 101, 95267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -3\/2*o**2 + 1\/2*o**3 + 0 - 3*o. What is the first derivative of t(u) wrt u?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10086 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**4\/4 + 4*z**3\/3 + 2*z + 4. What is the units digit of q(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1103\/7 + -158. Let f be (8\/(-20))\/((-1)\/30). Let j be ((-7)\/(378\/f))\/((-2)\/(-3)). Which is the nearest to -3? (a) j (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69479 is divided by 3858?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -318*u - 2215. Give k(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 105 = -3*o, o - 115 = 11*w - 18*w - o for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1843616 or -1843625?\nAnswer: -1843625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 >= -95\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -59\/3, -12, 1\/3, 7, 2\/5, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 0 - 15. Let r(z) be the third derivative of -z**4\/12 - 7*z**3\/6 + 16*z**2 - 3. Calculate r(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -7. Let h = -2 + 6. Let q = z + h. Put -5\/4, q, -2\/7 in decreasing order.\nAnswer: q, -2\/7, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaq when three letters picked without replacement from {d: 2, q: 7, e: 3, x: 4, a: 1}?\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 2*d**7\/105 + d**6\/15 - d**5\/5 - 4*d**4\/3 - 8*d**3\/3 + 6*d**2. Suppose v(c) = 0. What is c?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 2\/3, -535, 0.5 in descending order.\nAnswer: 2\/3, 0.5, 3\/8, -535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 10*u**2 - 8*u + 10. Let k be a(-9). What is the greatest common divisor of 3 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -453 - -377. Do t and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -3*l + u, -u + 6 - 2 = 0. Let o be 4\/(-22) + 48\/l. Let v = 4 + 2. Calculate the greatest common divisor of v and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -15, 5 in ascending order.\nAnswer: -35, -15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/13 + 32*d\/13 - 30\/13.\nAnswer: -2*(d - 15)*(d - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505*h - 5430948 + 5426908 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18340*y**4 + 25*y**3 - 453*y**2 - 4 wrt y.\nAnswer: -440160*y + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -38, -33, -26, -17?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*a - 36. Let v = a + 18. Suppose -m = -2*c + 38, v*c + 4*m - 58 = -2*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-2\/3)*x))**(-18)\/(x**(-7\/2)\/x**6))\/((x**2)**(-11\/5))**(4\/17) assuming x is positive.\nAnswer: x**(-249\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**4\/4 - 2*t**3\/3 - t**2\/2 - t - 1. What is h(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 965*a + 50823 + 2252 for a.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 7302085.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6286837820.6 take away 0.11?\nAnswer: 6286837820.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/7 - 108*z**2\/7 - 30*z - 104\/7 = 0. What is z?\nAnswer: -52, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 364.99998785 + -365. Round u to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -284*o + 278*o. Solve -5 = -o*f + 18*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 715 = 2*i, -7*i = -4*i - 3*x - 1065. Let j = i - -250. Let w = -347 + j. What are the prime factors of w?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) 2\/17 (b) 45 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 13*c**2 - 2*c + 3. Let t be w(1). Suppose 2*u = t - 20. Is u < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-2) - 2 - -8. Suppose -3*o - 3 + 0 = 0. Let j be (8 - 2) + o + -1. Solve -t*n + 5 = -j*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + 2*j**2 - 207 + 37 + 48 + j + 45.\nAnswer: 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 1:48 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.25 and -9.5721?\nAnswer: -184.262925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 85 - 115. Calculate the remainder when 298 is divided by h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (5 - 11))*(-2)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x - 40. Does 7 divide p(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 2*y + n - 39, 7*y + 8*n + 79 = -4 - 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*b + 8 + 18 = 0, 2*w = 5*b + 2. Calculate the remainder when 1195 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (11 - (-9 + -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 114496*q*w**2 + 11*w**2 + 1785 wrt q.\nAnswer: 114496*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 353479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -165776 divided by 2\nAnswer: -82888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (-13 - -34) - (-9 - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -14*(49\/(-7) + 9). Sort s, 0.5, -0.5 in increasing order.\nAnswer: s, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10 - 24968)\/(-3 - (-364)\/412). Let n = m - 11792. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676082 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-4 - (-13 + (5 - 7)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 0*g**4 + 1\/120*g**5 - 1\/12*g**3 + 36*g**2 + 0*g + 0. Factor v(m).\nAnswer: (m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-4))\/((-1)\/1). Let u(i) be the first derivative of -i**2\/2 - 5*i + 12275. Give u(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.7928692 to 2 decimal places.\nAnswer: 61.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - o + 14 = 0. Let w = 12798\/7 + -1828. Factor w*l**o + 0 + 2\/21*l.\nAnswer: 2*l*(3*l + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1870484257 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 5*p + 53, p + 0*d = 4*p - 2*d - 3*d + 76 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 4 = -n, 40*g - 44*g - 3*n - 23 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39838 + -93420116\/2345. Let h = q - 9659\/938. Find the common denominator of h and 125\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 14 - (10 + -72 + 31 + 22).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 181*g**2 - 11273*g - 680. Give x(-230).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/8 - 2)*2. Let p(z) = -5*z - 1 + 6*z + w. Let i(y) = 6*y. Give p(i(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/133 or 368?\nAnswer: 368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1. Suppose 2*i = -3*d - 0 - 1, 0 = 4*i - 5*d + 35. Let k(r) = 4*r + 28. Let a(s) = i*g(s) - k(s). Does 5 divide a(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + ((6*(sqrt(363) + sqrt(363)*1) - sqrt(363)) + (0 + sqrt(363) + -1 - sqrt(363)))**2).\nAnswer: -242*sqrt(3) + 43921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*t - 245*t = -11993 - 19501. List the prime factors of t.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 213\/5 + (-3)\/5. Let i = -29 + t. Suppose 0 = -3*q - 9, -27 = -v - 5*q + q. Calculate the greatest common divisor of v and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b4 + a?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025985119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 21 - 4 = 0. Let w(p) = -p + 7. Let x be w(6). Let y be (x + (-1 - -1))*q. Solve -y*g + 2 = 27 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2838*a + 4 - 2876*a + (-2 + 2 - 2)*(-6*a + 0*a + a) to the form c + f*a and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**3\/15 - 3*s**2\/10 + 223. Factor k(c).\nAnswer: c*(c - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348*l**2 + 67683*l - 67683*l - 227*l**2.\nAnswer: -575*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.1 and 249.14.\nAnswer: 274.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-402)\/(-871)*1\/16. Let z = 327\/520 - p. Is 7 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-27)*(3 - 1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5956, -3563, 2920, 15533, 36316?\nAnswer: 67309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-98)\/63)\/(3\/(-297)) and 1188.\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 16*h - 13*h**2 - h**3 - h - 2 - 2 - 47*h. Let g be t(-10). What is the highest common factor of 88 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.4765 in 0.5, -87\/8, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 858308657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 291. Give v(-48).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-42))\/((-642)\/428).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r - 20. Suppose -2*k = -k + 3, 6 = -2*m - r*k. Solve 5*a**3 - a**m - 4*a**2 - 4*a**2 + 4*a = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/5*(-8)\/((-272)\/85).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10466310 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 688901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*1*(-8)\/2. Let l(x) = -x**2 - 9. Let o(c) = -c**2 - 4. What is u*l(z) - 5*o(z)?\nAnswer: 3*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2219*r + 718964. Determine v(-324).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*v + 704 - 724 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, b: 2, f: 9, r: 1, p: 2}. Give prob of picking 2 b.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 447783541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 9*z**2 - 11*z - 15. Let k be g(-8). Let u be (-1 - (-3)\/k)\/(6\/(-9)). Let y be (-3 + (-91)\/(-35))\/(u\/(-265)). Is 106 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202563 is divided by 431?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**2 - 10766460*n + 5795833046580 = 0.\nAnswer: 1076646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 4*u**2 + 6*u - 11. What is b(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111110100 (base 2) to base 13.\nAnswer: -5cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 780*z**4 - 8492*z**3 + 15692*z**2 - 9028*z + 1048 = 0. What is z?\nAnswer: 2\/13, 1, 131\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12267 and 162?\nAnswer: 220806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, y: 1}. Give prob of picking 2 g.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ussssuovoasuassvoi. Give prob of sequence vvo.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 11*s = -15*s + 120, -3*s + 139 = 4*r. Suppose -3*d = -i + 5*i - 132, 4*d = -5*i + 176. Calculate the greatest common factor of r and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9119994.\nAnswer: 2, 3, 13, 116923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 1\/24*m**4 - 25*m + 0 - 1\/10*m**5 + 7\/6*m**3 - 1\/120*m**6 + 2*m**2. What is q(-5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - -31106) + 3168\/198?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2. Suppose 0 = -5*m + 81 - 71. Suppose -2*p = 2*p - 16, -4*d + 20 = -3*p. Solve d = -x*q - m*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}