diff --git "a/data/dm_maths/full_data_1/10109_11255.jsonl" "b/data/dm_maths/full_data_1/10109_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10109_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let x(g) = -6*g - 10. Let u be x(-2). Solve 0 = -15*k + 13*k + u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-53)\/((-9540)\/(-72)))\/((-48)\/(-225)).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 977031404?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -109, -274, -577, -1066, -1789, -2794, -4129?\nAnswer: -5842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/17296 and -99\/205390.\nAnswer: 1643120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46639 or -606302\/13?\nAnswer: -606302\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -225\/73, 2\/9, -5, -4\/5 in descending order.\nAnswer: 2\/9, -4\/5, -225\/73, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 446ccb (base 13) to base 11\nAnswer: a03244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12566 + -7099. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -h**4 + 25*h**3 + 1 + 2*h**4 + 1 + 25*h**3 - 2*h**2 + 2*h - 48*h**3 in the form a*h**3 + n + p*h**2 + y*h + i*h**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - 27. Let m be j(-22). Solve 5*a = -m + 42 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*d*h**2 + 10*a**2 + 321*a*d*h + a*d + 5*a with respect to h.\nAnswer: 4*a**2*d*h + 321*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13260.436 rounded to the nearest 100?\nAnswer: -13300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**3\/6 - 46*l. What is s(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80\/7 + 379\/35. What is the nearest to -2\/11 in 0.1, -1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1 - 4 - k + 0 - 2. Give m(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x - 3. Let r(c) = -6*c - 8. What is -16*b(j) + 5*r(j)?\nAnswer: 2*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.019 (b) 4 (c) -2.24 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -5 (b) -136 (c) 4\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 140341465236 + 63?\nAnswer: 140341465299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**6\/120 - 5*x**5\/12 - x**4 - 7*x**3 + x**2 + 297*x - 2. What is m(26)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*j**3 + 13\/4*j**2 - 1 + 0*j.\nAnswer: -(j - 2)*(2*j + 1)*(3*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -85869, -171670, -257337, -342804, -428005, -512874?\n\"Answer: 11*y**3 + y**2 - 85881*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(7\/3)\/(z**(-2\/3)\/z*z))\/((z*z*z**(-5\/2)\/z)\/z*z*z*z**(-1\/3)))**46)**(-1\/58) assuming z is positive.\nAnswer: z**(-529\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 312.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 4154*p - 5 - 8388*p + 4240*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*2 + 46 + -7?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13662 (base 9) in base 4?\nAnswer: -2101022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5549 divided by -8?\nAnswer: -5549\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 0*j**2 + 6*j**2 + 0 - 3 - 4*j**2. Let b(u) = 2*u. Calculate g(b(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 416016899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 423.56 - 0.56. Let o = 418 - z. Put -1.4, -0.04, o, 0 in increasing order.\nAnswer: o, -1.4, -0.04, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/27)\/(34\/51)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgmkkmmkmmjjkj. What is prob of picking 1 l and 1 m?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 261, 1812, 4407, 8052, 12753, 18516, 25347, 33252?\n\"Answer: t**3 + 516*t**2 - 4*t - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3112224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 11) to base 2.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 761 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, -57, 1, -4, -7 in increasing order.\nAnswer: -57, -9, -7, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 101, 100, 99, 98?\n\"Answer: -l + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -198775 >= -11330167\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -155 by -89.\nAnswer: 155\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 - 57. Let n(m) = -191*m + 11*m**2 + 3021*m**s + 10 + 104*m + 98*m. Let q be n(-10). What is q rounded to the nearest 100000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -47. Suppose 0 = g + 2, -2*l - l + z = g. Suppose 5*a - 21 = l*a. Let r(k) = 2*k**2 - 3*k. Let h(v) = 4*v**2 - 7*v. Determine a*r(d) + 3*h(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -2*n - 20. Let s be (3\/2)\/(2\/4). Solve -n*b - s = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1209 and 46514.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1332225 and -13\/171900?\nAnswer: 5328900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5, -6 = -3*c + 2*l - 1. Suppose 9*m = 8*m + 4*b + 139, -3*m - c*b + 468 = 0. Is 28 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16317)\/1302)\/37*(-20)\/(-35)?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + 4 + -4.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29197 divided by 3.\nAnswer: 29197\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((5*1*sqrt(65) + -3*sqrt(65)*-1)\/(2*(sqrt(60)\/sqrt(4))\/sqrt(3)))**2.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 317694120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*k = 9*k - 35288. What are the prime factors of k?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 127381830?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2*z)*(-4 + 2*z + 4)*(5*z + 2 - 2) as d*z + a*z**2 + i*z**3 + x and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 700.8256 minutes?\nAnswer: 42049536000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*o, -4*j = -5*j - 3*o + 34. What is the remainder when 322 is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(18)\/sqrt(6) - sqrt(3) - sqrt(3) - sqrt(3)) + 1 + 3)**2.\nAnswer: -16*sqrt(3) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**2\/5 + 1308*x\/5 - 5168\/5 = 0 for x.\nAnswer: 4, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 962*p - 958*p + 24 = 0, 33 = -4*z - p for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -15*l + 19*l + 66, -2*n - 854*l - 25630 = 748*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(2 - (-2 + 2)). Let m(b) = b**3 + 3*b**2 - 10*b + 4. Let j be m(-5). Find the third derivative of 0*r**4 - 2*r**c - 2*r**2 + j*r**4 wrt r.\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -12) + -60 + 61 + (-1 - 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360 and 79704.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2825?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1904 a factor of 75832512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.45 + 0.05. Let b = 248 - 250. Let h be b + ((-4)\/(-5))\/((-22)\/(-110)). What is the closest to 2\/9 in y, h, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**3 - 313857*d**2 + 8210891061*d - 106688548551 = 0.\nAnswer: 13, 52303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -285013, -1140044, -2565095, -4560166?\n\"Answer: -285010*v**2 - v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 1 - 1)*(3*q - 3*q + 2*q - 1).\nAnswer: -2*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-12)*(-6)\/4. Let m = -16 + 18. What is the units digit of g - (-16 - (m + -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -298+-0.182277252\nAnswer: -298.182277252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000224716 to 6 decimal places.\nAnswer: 0.000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 38610614978 from 13.\nAnswer: -38610614965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -3*s**2\/2 - 9*s + 2. What is the lowest common multiple of a(-7) and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 24 = 44. Suppose -h*k = 7*i - 2*i - 36, k = -1. Suppose -i*v - v = -117. Calculate the remainder when 30 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 694*z**2 + 4*z + 6. Let s be h(-6). Suppose 15034 = r - s. What is r rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/75975 and 49\/103326.\nAnswer: 2583150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**4\/9 - n**3\/3 + n**2\/3 - n\/9 - 1. Factor a(p).\nAnswer: (p - 1)**2*(4*p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y**2. Suppose 0 = -12*q + 29*q. Let p(g) be the second derivative of 0*g**2 + q*g**3 + g - 1\/6*g**4 + 0. Calculate d(p(f)).\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.93 + 0.68. Let v = 6.1 + r. Let q = 8 + v. Round q to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 55. Suppose -3*s + 3*o + 47 = -13, -f = -3*s - 3*o. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - u + q = -1, -5 = -u + q. Suppose -u*j + 131 = 21. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, s: 1, k: 2, f: 2, q: 1}. Give prob of picking 1 j, 1 q, and 1 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3*sqrt(26) + sqrt(26)))\/sqrt(2)*6.\nAnswer: 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 16*o - 20. Suppose -23*s - o*s + 101750000 = 0. What is s rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - y + 2. Let z(c) = -2*c**2 + 919*c - 914. Let s(d) = -x(d) + z(d). Factor s(i).\nAnswer: -4*(i - 229)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -402 divided by -3\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1722 - 1699. Solve -x = -0*c + 3*c - 11, -5*c - 4*x + f = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 - -134. Suppose -p*h + 32 = -67*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-14)*10*(-916769)\/(-10735)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 4*d + 6, 4*d + 7 = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 5*v - 8. Let n be m(6). Let y be 0\/((-2 + n)\/2). Solve 3*o + 0 = 5*u + 19, y = 2*o + 3*u + 19 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a028a - -7a?\nAnswer: 1a0359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 15 + 9 = 0. Suppose 41 + 3 = q - y, 211 = 4*q + 3*y. Let u(d) = q*d**3 + d**2 + 52*d**3 + 8*d + 2*d**2 + 6 + 4*d**2 - 100*d**3. Give u(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2767001980 rounded to the nearest one million?\nAnswer: 2767000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6420200 rounded to the nearest 100000?\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 74.2 and -0.4?\nAnswer: -29.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 99*u**2 + 13*u - 1371. Calculate v(99).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 5*g = 5, 2*a + 26*g - 98 = 44*g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, q: 6, s: 2, b: 1, t: 5, h: 1}. What is prob of picking 2 t, 1 m, and 1 b?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-8))\/((-2)\/8). Suppose -i*g - 7 - 1 = 0. What is the units digit of -2*(3 + g + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-30))\/((-3)\/75). Let w = o + 62. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 - 2*o**4 + o**4 + (4 - 2*o**2 - 4)*(o**2 + 3*o**2 - 2*o**2) + 0*o**4 - o**4 + 2*o**4.\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/125 + 211\/1625. Let m = -200.8 - -201. Let w = -9671\/5 - -1934. Which is the third smallest value? (a) 4 (b) r (c) m (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, -164, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31501 - 31495. What is the remainder when 361 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 4*w**2 - 1. Let u(h) = -h - 1. Let p(s) = -j(s) - 5*u(s). Determine p(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from erefyyeaaya.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 3*l**2 - 4. Let u be 2*(-2 + 5\/10). Give y(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 101\/49166?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184377 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**6\/18 - 8*y**5\/5 - 41*y**4\/12 + 22*y**3\/3 + 223. What is t in l(t) = 0?\nAnswer: -22, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2636893498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 301599 and 156?\nAnswer: 15683148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -435 - -437. Suppose c = 5*m + 29 + 19, x*c - 131 = 3*m. Let j = -48 - -67. Calculate the remainder when c is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 + 24*v + 324. Let z be u(20). Let s(m) be the second derivative of 1\/220*m**5 - 1\/44*m**z + 11*m - 1\/66*m**3 + 3\/22*m**2 + 0. Factor s(w).\nAnswer: (w - 3)*(w - 1)*(w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbvvbvcbbvbbcp. Give prob of picking 1 c and 3 b.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 1. Let z be 28\/20 - 4\/10. Let o(h) = 3. Let c(q) = z*o(q) + 3*k(q). Let s(i) be the first derivative of i**2 - 1. Give c(s(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1885\/(-325) - (-4)\/5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12011121000 (base 3) in base 6?\nAnswer: 2103043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33972 and 435464420?\nAnswer: 1306393260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 3*p + 24, 0*p + 4 = 4*t - 3*p. Suppose -t*k - 5 = 11. Let f(d) = -2*d + 44 - 91 + 4*d + 50. Calculate f(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 + 1. Let b be c(1). Let s(x) = -x**3 + 2*x**2 + 3*x + 4. Let f be s(b). Let h = f + 1. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 811103 is divided by 10532.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 13.569592\nAnswer: 12.569592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -386 - -404. Solve 9*v + 27 = -r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 143 + -90. Let x = 68 - b. List the prime factors of 5*((-144)\/(-15) + (-3)\/x).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 32, -3, -0.3, -4\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.3 - -0.6. Let b = w - -0.1. Put -1\/6, b, -4 in increasing order.\nAnswer: -4, -1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + -11 - (-26 + 21)) + -7.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0\/z)\/(z*z\/z**(-23)) assuming z is positive.\nAnswer: z**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 0. Let m(l) = l**3 - 2*l**2 + 3*l - 3. Let h be m(0). Let y = -148 - -145. Which is the nearest to y? (a) v (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 - 126. Let l = x + 397\/11. Let b = 11\/4 - 3. Which is smaller: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.43 * 42\nAnswer: 228.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27671?\nAnswer: 7, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (-32)\/(-12)*(-300)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156)*-1*2)\/(sqrt(12) + sqrt(144)\/sqrt(3)))**2 + 1 + (sqrt(13) - (0 + -1*sqrt(13))) + sqrt(117)*-1)*2.\nAnswer: -2*sqrt(13) + 122\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*c - 4 + 186*c + 6 + 196*c.\nAnswer: 318*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 8*j + 41*j + 1 to the form o*j + a and give o.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 16 = -0. Suppose 0 = -m + g*k + 20, -k = k + 10. Which is the smallest value? (a) -0.4 (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -142 + 134. What is the second biggest value in 5, 4\/3, h?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-621))\/(2280\/(-342))?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4977*g = -4991*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hppw when four letters picked without replacement from {w: 3, p: 2, b: 9, h: 4}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1359.9 - 1459. Round l to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1418*h + 6*z - z = -1412*h - 85, -2*h - 5*z = 45 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718227?\nAnswer: 3, 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*d**2 + 493*d**2 + 82*d**2 + 1883*d**2.\nAnswer: 2420*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 296\/(-1480)*((-8)\/6)\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + 20. Suppose 5*i + s = -6*i. Which is smaller: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1823 + -1805. Let t(p) = 3*p**2 - 18*p - 18. Let x(k) = -k**2 - k - 1. What is b*x(v) - t(v)?\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*o - 4*o - 6*q - 48, o - 24 = 3*q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -35624.48 to the nearest ten.\nAnswer: -35620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6026360 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52\/21 + 1831\/714. Let u = b + -43\/102. What is the second biggest value in 1\/4, u, -1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*g + 43*g = -1184184. What are the prime factors of g?\nAnswer: 16447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 46\/(-7) - (-8)\/14*1. Let k be 15\/l*84\/(-1785). What is u in -2\/17*u - k*u**5 + 4\/17*u**3 + 0*u**4 + 0*u**2 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -95, -130, 2, -3\/733, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 404 - -649. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 117\/(-27))\/(6\/27)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 10*m**2 + 12*m - 12. Let a be q(11). Which is smaller: 11 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85429903987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 x when three letters picked without replacement from xzaxzccfzczxfwf.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 805519021 to the power of 1\/2, to the nearest integer?\nAnswer: 28382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*n + 6 = -2*b, -4*b = 2*n - 12. Let a = b - 3. What are the prime factors of 50 + 4 - (a + 2)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 514.06 - 0.06. Let j = y + -515.5. What is the second smallest value in 2, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a kilometer in meters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 + 3*k**2 - 2*k + 3. Let q(v) = -v**3 + 2*v**2 - 3*v + 2. Let g(w) = -2*h(w) + 3*q(w). Find the second derivative of g(m) wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*i = 138*i - 10. Let r be (-8 + i)\/(3 + 196\/(-68)). Is r > -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*k + 0 = 16, -i = k - 8. Suppose -i*m + 19 - 3 = 0. Which is bigger: 7\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g**3 - 16*g**2 + 406*g - 11. Let k(p) = 2*p**3 + 7*p**2 - 202*p + 5. Give -7*k(o) - 3*y(o).\nAnswer: o**3 - o**2 + 196*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113657 + 628030 - 4*q + 3*q.\nAnswer: -q + 514373","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*3*(-3)\/(-6). Let k(m) = 8*m + 1. Let f be k(i). Suppose -4*s - 3*c = -f, s + 14 = -5*c + 5. Solve 4*p - s = 5*g - 1, -2*p - 3*g = -13 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000075131 rounded to 6 dps?\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4*d = 1719 - 1699, -5*d = -9*w + 48 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 11:07 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -1807034 = -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 3*p + 148. Let w(x) = 1400*x + 18235. Let k be w(-13). Solve -p*n = -k*n - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 25*s**9\/504 + 2*s**5\/15 - 13*s**2. What is the third derivative of q(u) wrt u?\nAnswer: 3000*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/(-45)*(-9)\/(-2). Is 41\/2*(v + 9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 423 and 287262?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -349675 and -349677 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1712022 by -285337.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + -604636c?\nAnswer: -6046363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 970, 955, 920, 859, 766?\n\"Answer: -j**3 - 4*j**2 + 4*j + 971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 0 + 6 + 6*m**2 + 0*m**3 - m - 4*m**3 + 3*m**3. Determine a(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 4.9. Let m = -929 + 928.8. Which is bigger: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27549986 divided by -13774993.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17783 * 0.992.\nAnswer: -0.17640736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**10\/(o\/((o*o**(-1\/3)*o)\/o))*(o**(-3))**(12\/11))**7 assuming o is positive.\nAnswer: o**(1477\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (36\/20)\/(21\/(-70)). Solve -o*v + 24 - 38 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-67.\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1291732 or -10333853\/8?\nAnswer: -10333853\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 12*j + 19600. Suppose -4*r + 2*h = -566, -4*r - 2*h = 2*h - 584. Calculate the remainder when r is divided by d(134).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -17. Let o = 15 + -10. Let m be (1\/2)\/(57\/12). What is the biggest value in m, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 8*h - 2586. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72492596.\nAnswer: 2, 11, 23, 71633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 990610 divided by -3358.\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -31*m**2 + 2*m**2 - 2673*m + 2674*m - 25*m**2. Let z(v) = 2*v**2. Give f(z(k)).\nAnswer: -216*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5174 (base 15) to base 16\nAnswer: 4339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003247 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrclrjrgllrvr. What is prob of sequence cv?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*577.6453.\nAnswer: 12708.1966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 15*b**2. Let c(n) = 4*n. Let d(y) = -y. Let z(k) = 2*c(k) + 7*d(k). Give g(z(p)).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3462966 is divided by 314805?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-5 - (29 + -4) - -10).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -80.32.\nAnswer: -80.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*s + 140*s - 71*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 252*x + 1404.\nAnswer: 3*(x + 6)*(x + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by (-5)\/(5\/(-188))*1\/4?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.02 (b) -70 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6633459, -13266925, -19900391, -26533857?\nAnswer: -33167323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 702627.717 rounded to the nearest 100?\nAnswer: 702600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = 12*q + 18. Suppose -5*d - q = -3*o, 0*o - 3*o = 2*d - 9. Solve 4*r - 3*x - 5 = 0, 2*r - 3*r - o*x = -5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9979)\/(-85) - 6\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5840 and 25640.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1023023 - 3?\nAnswer: -1023032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 1)*(-3*y - y - y) + (-5 + 1 + 2)*(y + 1 - 1)*(-4 + 0 + 2) to the form t*y + p and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 6:53 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -374*f**2 - 89*f**2 - 2083*f**2 in the form l + x*f + i*f**2 and give i.\nAnswer: -2546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**5 - 598*k**2 - 576*k**2 - 264*k**3 - 260*k**4 + 1174*k**2.\nAnswer: 4*k**3*(k - 66)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 5*q - 6. Let c be w(-4). Suppose 2 = -3*i + i. Which is smaller: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*f + f - 4*m, 5*m = 5. Suppose 12*t = -340 - 1340. Let a be (285\/t - -2)*(-32)\/(-12). Is a > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, 0.19, -2\/7, 0.1, 2\/17?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4374 and 1404?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/9 + 2\/6. Let l be (-26)\/(-39) + ((-672)\/99)\/2. Is l at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -14, 19, 49, -4 in ascending order.\nAnswer: -14, -4, -2, 0, 19, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*b**4 + 41*b + 46*b**2 - 84*b - 1348 + 72 + 43*b wrt b?\nAnswer: -44*b**3 + 92*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 8270365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 17.5. Let y = 1215 + -1210. Which is the second biggest value? (a) y (b) -8\/3 (c) -3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2 + 2)*(-2*q**4 + q**4 + 6*q**4)*(278 - 480 + 121 + 313).\nAnswer: 2320*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 1*(-1 + -4). Let m = -5 + 9. Suppose -g*u + 10 = m*d, 3*d - 3*u = 9 + 9. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/19 (b) -0.88 (c) 2 (d) -5\/4 (e) -5 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 + 0.8. Let y = 3.16 + -4.96. Let a = b + y. What is the nearest to 0 in a, 2, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57 by 5.\nAnswer: 57\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g**4 + 10*g**3 + 818*g**2. Let s(y) = y**4 - 3*y**2. Let x(t) = -o(t) + 6*s(t). What is the third derivative of x(v) wrt v?\nAnswer: -48*v - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**3 + 1416*n**2 + 1414*n = 0.\nAnswer: -707, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 79757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apa when three letters picked without replacement from {a: 7, p: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45? (a) 11 (b) -15 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 31\/3, -1\/4, -41?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 15. Calculate the remainder when 10 is divided by i(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 u when three letters picked without replacement from jlllllulkukujll?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 907, 895, 875, 847, 811, 767?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -31\/10 and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3.5516+29952.47\nAnswer: 29948.9184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8*g + 24 = 5*g, -3*g - 17 = -2*h. Is (h - (-2 - -9)) + 40 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5371?\nAnswer: 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2.03. Let t = u + -8.03. Let z = t - -4. What is the closest to -0.2 in z, 0.4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 14 + 190212*v - 41 + 17.\nAnswer: 190212*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 - (-376)\/20 - 11. Which is the biggest value? (a) q (b) 2 (c) -1\/7 (d) -16\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of ((-6)\/(-9))\/(4\/162)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80291, 321375, 723255, 1285937, 2009427?\nAnswer: 2893731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8638 - 5.7528. What is w rounded to one dp?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 106*g**2 - 397*g - 19803. Calculate x(-108).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 48 = 4*m, -3*c + 5*m = -109 + 58 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*-1*5 + -1. Suppose -3*h = -4*h + p. Suppose -5*i - m + 49 = -7, 5*i + h*m - 44 = 0. Solve 4*b + 0*b = i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 + -93. Let o = -31 - q. Does 21 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*v = -4*b, -12 = -b - 3*v. Calculate the remainder when 5 + (-4 + 6)*-1 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2\/5 - 34552*x\/5 + 74615044\/5.\nAnswer: 4*(x - 4319)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12288905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**3 - 138*z**2 - 432*z = 0.\nAnswer: -3, 0, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + -1*sqrt(539) - sqrt(539))**2 + 4*sqrt(176).\nAnswer: 16*sqrt(11) + 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -31*b**4\/12 - 40*b. Let i(w) = 3*w. Determine g(i(c)).\nAnswer: -279*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 + 666*o + 2*o**2 - 545*o + 3*o**2 in the form c*o + n + v*o**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*x - 28*x + 1 - 17*x**3 + 16*x + (5 - 2 - 2)*(-2*x**2 + 2*x**2 + x**3) - x**3 + 0*x**3 - 4*x**3 to d*x + m*x**2 + q + i*x**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 869 and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 193 = 1271. Suppose -2*y + x = 3*p - 4*y, -4*y + 732 = 3*p. Suppose 2*s + p = 5*n, -s + 86 = 2*n + 4*s. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -49*o**2 + 147*o - 118. Differentiate m(y) wrt y.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -4*b + 3*h, 0 = 113*b - 111*b + 3*h - 81. Calculate the remainder when 192 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1074 - -0.0074. Which is the closest to -1? (a) -0.156 (b) -1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -101110111?\nAnswer: -101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5154 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 128989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/20)\/(2\/(-8)). Let m = -0.8 + 1. Which is the nearest to f? (a) 0 (b) m (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j - 1. Let p(i) = -i**3 - 8*i**2 - 8*i - 6. Let y be p(-7). List the prime factors of o(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/9*3\/(-5)*(-110)\/(-836).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 51411 * -15\nAnswer: -771165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 2*f + 6284 - 6295, -55 = -3*f - 5*y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102212102011 (base 3) to base 8.\nAnswer: 710155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**4 + 15*t**3 + 372*t**2 - 780*t = 0 for t.\nAnswer: -10, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-25824)\/1120 - 6\/(-105)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7\/3, -0.5, -11.522, -2\/13?\nAnswer: -11.522","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 486 divided by -238.\nAnswer: -243\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + -132546285?\nAnswer: -132546273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71840409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*v - 19, -2*v + 1 = -3*v - d. Suppose -3*u = v*s - 5*u - 10, 0 = 3*s - 2*u - 15. Solve -11 = 4*x + s*z, -x = -2*z + 6 - 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3009807569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z - 62. Calculate p(-4).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1288414573\/310428 - -45\/34492. Let u = j + 4144. Calculate the common denominator of u and (6\/4)\/((-3)\/57).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 5*l - 19. Give v(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 833 less than 81.203?\nAnswer: -751.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) -0.28 (c) 268 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3.1*-17\nAnswer: -52.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 9 = -4, -15 = -4*p - g. Suppose -z = -p*i + 79, 0 = -i + 5*z + 35. Let q = 29 - i. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2938 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 (33\/(-27)*111)\/45 + (1 - -2)?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 27*g**2 + 42*g - 14. Let h(v) = -19*v**2 - 30*v + 10. Let f(s) = -7*h(s) - 5*y(s). Let w(d) = -d - 1568. What is w(f(b))?\nAnswer: 2*b**2 - 1568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*i = c - 6, -5*i = -3*c + 22. Suppose -c*q = -3*v + 615, -4*v + 768 + 52 = q. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276 and 12857667.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 18. Is 3*137 + t + 13 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c. Let z(q) = 4*q**2 - 90*q + 2300. Calculate u(z(l)).\nAnswer: 32*l**2 - 720*l + 18400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2442 divided by -814.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*n, -2*x - 1642*n - 19 = -1637*n. Sort x, -5, 5, 4, 15 in ascending order.\nAnswer: -5, x, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 - 23\/(207\/(-720)) is divided by 41.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*y = 4, 3*x - x - 2 = 2*y. Suppose 4*w = 3*n - 16, 3*n = -2*n - x*w + 18. Solve 0 = -n*p + p - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1178 is divided by 194.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**8\/168 + s**7\/105 - 5*s**2. Determine v so that i(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, w: 3, a: 2}. What is prob of sequence as?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-60)\/40*(-8)\/6 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g*t**3*v + 169*g*t**3 - g*t**2*v - 605*g*t*v + 18*g*v - 17*t**3*v - t**3 wrt t?\nAnswer: -42*g*v + 1014*g - 102*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -4 + 0*y + 5\/3*y**3 - 1\/1440*y**6 + 0*y**2 + 1\/480*y**5 + 1\/48*y**4. Let l(w) be the third derivative of n(w). Factor l(s).\nAnswer: -(s - 2)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 21*m**2 + 23*m - 19. Let s be u(22). What is the third derivative of -7*z**2 + 3*z**s + 0*z**2 + 3*z**2 - 14*z**2 wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73227 is divided by 6657.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -241204 - -24345?\nAnswer: -212415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18756)\/(-43764))\/((-1)\/(-21)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10434 rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -270*d**3*v**3 - 3*d*v**3 - 87*v**3 wrt d.\nAnswer: -1620*d*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 55, 124, 229, 376, 571, 820, 1129?\nAnswer: 1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44484994, -88969979, -133454962, -177939943, -222424922?\nAnswer: -266909899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 616378 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 49, 84, 125, 172, 225?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tggtttttttgt. What is prob of sequence gtgt?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38 + 38 - 2*r + 2*r**2 + (4 + 2 - 4)*(-4*r + 4*r - r**2) + 5*r**2 + r**2 + 0*r**2 - r**2 + 3*r - 3*r.\nAnswer: 5*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 14869066\nAnswer: -14869065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a second in milliseconds?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2752211593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 48. Let c be (x\/(-12))\/(1\/(-6)). Suppose 3*y - 192 = -v, -c*v - 18 - 30 = -y. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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 the common denominator of -23\/14087892 and -29\/10062780?\nAnswer: 70439460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 4. Does 4 divide b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93 + -41. Let v = -53 + g. Sort -0.01, v, -0.5, -3 in descending order.\nAnswer: -0.01, -0.5, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2064680, -4129362, -6194044, -8258726, -10323408?\n\"Answer: -2064682*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8579.72223 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12180 + 6*z + 12180.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/45084 and -88\/56355?\nAnswer: 225420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + t + 13. Let q be f(0). Let o(x) = -5*x**3 - 2*x**2 - x - 1. Let k be o(-2). Let a = k - q. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01535452 to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a - a**2 - 3138 - a + 3144. Determine q(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*p**6 + 35*p**5 + 412*p**2.\nAnswer: 5520*p**3 + 2100*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5343 is divided by 163?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**10\/20160 - l**8\/4480 + l**4 - 13*l. Let r(k) be the third derivative of w(k). Factor r(z).\nAnswer: 3*z**3*(z - 1)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/2)*f)**(-46)\/(f\/f**2)**(18\/5) assuming f is positive.\nAnswer: f**(133\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 3*t**2 - 2*t - 2. Let r be y(-2). Let x = r - -5. Suppose 0 = -0*l - l + f + 2, 0 = 4*l - x*f - 8. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 5*w**2 - 5*w + 1. Suppose -3*s + 8 + 19 = 0. Suppose 5*y = 3*y - t - s, 7 = -3*y + 5*t. Let a be x(y). Put 2\/17, -0.2, a in decreasing order.\nAnswer: a, 2\/17, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -429.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 6:03 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -20. Let d = -68 + 95. Let y = d - i. What is the remainder when 38 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -268 - -267. Let b be d - (5 - 8)*4\/3. Solve 0 = b*t - 7*t + 3*r - 25, 4*t + 10 = -2*r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97 - 85 - (2 - 12) - (-9 + 4)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 2747 + 2741. Let n be ((-7)\/35)\/f*-10. Factor 0 + 3\/5*i**n + 0*i.\nAnswer: 3*i**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 34997.71cm?\nAnswer: 349.9771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7880 + -4343. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((-7)\/(7\/3)). Which is greater: p or 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*a**4 - 146014*a**3 - 121*a**2 - 97*a - 12.\nAnswer: -120*a - 876084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -34, -3, -1\/82, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3\/7 - 2*a**2\/7 + 3*a\/7 = 0. Calculate a.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h**2 + 42*h + 20. Let b(m) = 13*m**2 - 86*m - 41. Let y(a) = 2*b(a) + 5*v(a). Let s be y(10). Is s less than or equal to -23\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004 a factor of 605669024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 77711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 74394975961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v + 6. What is the remainder when 34 is divided by a(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + 5*sqrt(156)*-1)\/(((sqrt(132) - (3*sqrt(132) - sqrt(132))) + sqrt(132) - sqrt(132))\/sqrt(11)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 971*f**3 - 98*f**2 + 524*f - 16. Is g(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 17232.51um?\nAnswer: 0.00001723251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205, -203, -201, -199, -197?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4680, 1335, 11360, 25395?\n\"Answer: 2005*v**2 - 6685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 145abac?\nAnswer: -145aba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117660, 117649, 117636, 117621, 117604?\nAnswer: 117585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-834)\/7089 - (1 - 39\/153*7). Is 294 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 26. Sort 0, 2, n in decreasing order.\nAnswer: n, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502 + 107 - 1021 = -103*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 36 = w. Suppose -4*h + w + 30 = 0. Solve 3*q = 3, -v + 4*v + 3*q + h = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/178535 and -26\/25?\nAnswer: 892675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*b + 5 = -92*b + 5*l, -5*l + 11 = b. Let t = -34\/245 + -3\/49. Which is smaller: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1071 and -5\/7.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41334 > 41377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002078935 rounded to six decimal places?\nAnswer: 0.002079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -9, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*i**2*u**2*z + 1429*i**2*u + 159*i**2 - 43964*u**2*z + 2778*u**2 wrt i.\nAnswer: 16*i*u**2*z + 2858*i*u + 318*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 335399594903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*z**2 - 34*z**2 - 5*z**2 as c + k*z**2 + n*z and give k.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -473\nAnswer: -236.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {s: 5, m: 9}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157241*s - 157220*s = -64281. Which is smaller: s or -3060?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*((-1 + t**3 + 1)*(2*t**2 + 3*t**2 - 3*t**2) + 9*t**4 - 17*t**5 - 9*t**4).\nAnswer: 15*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37721443 and 411?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 9*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.13 + 0.49. Let v = m + -0.36019. Round v to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*i + 139 = 0, 4*r - 5*i - 272 = -19. Let w = r - 25. What is the greatest common divisor of 80 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/522, -6, 2, 2\/73, -11\/2?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from ttjxjojtotj.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, 1049, 3370, 6889, 11606?\nAnswer: 17521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 15*s**2 - 8*s - 16. Let h(l) = -l**3 - 14*l**2 - 9*l - 15. Let n(f) = 5*h(f) - 4*m(f). Let a be n(-9). Solve 3*k = -2*k + a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 + -29. What are the prime factors of y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1896 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 12:11 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 7:23 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41620.70001 + -41622.500010043. Let i = 1.8 + b. What is i rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2225955, 8904090, 20034325, 35616666, 55651119?\nAnswer: 80137690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 20 = 5*w, 3*w = 2*u - 1154. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -207, -420, -641, -870, -1107, -1352, -1605?\n\"Answer: -4*z**2 - 201*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2 + 3 + 3*j + 3. Let w(a) = -2*a - 7. Let f(r) = 3*k(r) + 4*w(r). Calculate f(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**6\/180 - 49*w**5\/90 - 4*w**4\/3 - 26*w**2 - 1. Factor a(n).\nAnswer: -2*n*(n + 1)*(n + 48)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 361 * -4\nAnswer: -1444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.7 + 0.7. Let h = k + 4.99. Round h to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021211222001222002 + -2?\nAnswer: 1021211222001222000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g - 29. Let k be j(-19). Suppose -x + 300 = 3*c, 34*c + x - 102 = 33*c. What is the highest common factor of c and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a millisecond in microseconds?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*12\/(-140))\/(3\/(-15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (340 + 1794*r - 865*r - 1847 - 927*r)*(-r**3 + 0*r**3 + 2*r**3) to the form d*r**4 + n*r**3 + q*r**2 + z + v*r and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + 2732*p**2 - 3722*p**2 + 7*p - 3898*p**2.\nAnswer: -4888*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2 - 11, 2*r = 5*u + 221. Let h = -41 - u. What is the third derivative of 3*c**3 + 4*c**h + 9*c**3 - 19*c**2 wrt c?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m**3 + 2*m**2 - 8*m + 6. Let w(x) = -10*x**3 + 4*x + 3. Let g(o) = 3*o**3 - o - 1. Let c(d) = 7*g(d) + 2*w(d). Determine 8*c(k) + h(k).\nAnswer: 2*k**3 + 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 + 52860*s**2 + 2*s**3 - 77*s - 82*s - 2*s**4 - 52866*s**2 to k*s + h*s**4 + r*s**3 + a + x*s**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/((-7)\/(-21))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*x + 28 = -2*a, -3*x = -5*a + 116. Calculate the remainder when 62 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*z + j + 22, -2*z = -4*j - 8. Suppose 5*m = z*m - 573. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243041261 - 0.14\nAnswer: 243041260.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-72)*2*1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 12*g**2 - 14*g - 25. Let i be p(4). Suppose -14*a = -15*a + i. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -5*c**8\/252 - 4*c**7\/315 - 7*c**2 + 47*c. Let r(f) be the first derivative of v(f). Determine b, given that r(b) = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*y**2 + 617*y**2 - 184*y**2 - 150*y**2 - 151*y**2.\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 7\/42 - 893\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 14369*g - 1 + 43140*g - 14375*g - 14367*g.\nAnswer: 29*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and (-18)\/45 + (-102)\/(-5).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255167 to the power of 1\/2, to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 44*l - 2. Let h be s(2). Let f = -55 + h. Suppose -f + 9 = -t. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001799 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-6) - (0 - 1). Let j = -6 + x. Let t(y) = -y**3 - 14*y**2 - 2*y - 30. Let h be t(-14). Which is the nearest to j? (a) 2 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 528 - 597 = -2*t + 861 for t.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, -3\/11, 2, -1, 1\/3, 18, -26?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b - 27. Let f(g) = g + 9. Let z(v) = 2*c(v) + 7*f(v). Let x be z(-6). What is the second derivative of -2*a + 7*a - a**3 + a + 8*a**x wrt a?\nAnswer: 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2591, 5177, 7763, 10349?\nAnswer: 12935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113502518.\nAnswer: 2, 56751259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1721 - 1ab?\nAnswer: 1554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 9909\nAnswer: 7\/9909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from akavskkkaa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -149 + 150. Let k = 82 - 575\/7. Which is the closest to y? (a) 1\/4 (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3223332 (base 4) in base 15?\nAnswer: -471c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14054 - -14634. Solve -y = 121*r - 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + 46 + (1 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -946745\nAnswer: 3\/946745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -110*l + 1. Let g be a(-1). Let z = -557\/5 + g. Let j = 0.3 + -0.1. What is the second biggest value in z, j, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 862170 rounded to the nearest ten thousand?\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*c**3*p**2 - 9*c**2*w - c*p*w - p**2*w - 5*p*w + 3*p wrt c.\nAnswer: 9*c**2*p**2 - 18*c*w - p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24482 + -14213. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 416\/(-32) - (-53 + 17)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299*z**2 + 299*z**2 + 3*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -414 - 20256?\nAnswer: -20672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -136 + 370 - 95 - 14.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 99502, 198951, 298398, 397843?\n\"Answer: -c**2 + 99452*c + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -723, -1447, -2171, -2895, -3619, -4343?\nAnswer: -5067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 11:58 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 86439259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.257, -2\/1879, 0.5, -0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 + 2 = 18*d + 61 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**5 - 4*a**5 + a**5 + 2*a**5 - 1 + 1 + (-3*a**4 - a**4 + 2*a**4)*(2*a + a - a) + 2*a**3 - 2*a**3 + a**5.\nAnswer: -8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -867 (base 11) to base 5\nAnswer: -13131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 36*y**2. Let d(x) = 61381*x. Give o(d(n)).\nAnswer: 135634577796*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -635 divided by 127\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*q**3 + 416*q**2 - 3030*q - 900.\nAnswer: -2*(q - 15)**2*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence saa when three letters picked without replacement from skkopassspoxsa?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dff when three letters picked without replacement from {t: 7, k: 3, d: 2, c: 1, f: 3, m: 3}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1067373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 7 = -f. Suppose 8*j = 7*j + 35. Let l = -33 + j. Solve l*k = 6*k + f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 13.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -18. Let w be x\/(-16) - (-54)\/4. Suppose 10*f - w*f = -9. Put 5, f, 1 in increasing order.\nAnswer: 1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**2 - a**2 + 3*a**2)*(-1 + 1 - a**2) - a**4 + 15*a**4 - 9*a**4 to the form q*a**2 + i*a**4 + s*a + r*a**3 + d and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 0 + 88 - 4 + 7 + 3*t. Let d be c(-29). Solve -4*j = -4*s - 20, 22 = 4*j - d*s - s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*j**3\/2 + 20822725*j**2\/2 + 557981695*j\/2 + 3738326975\/2.\nAnswer: 5*(j + 166555)*(5*j + 67)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + (2 + sqrt(2268) - sqrt(2268))*1 + sqrt(2268) + sqrt(2268))**2 + (6*((sqrt(2268) - (sqrt(2268) + 2)) + -4)*-6)**2.\nAnswer: 360*sqrt(7) + 92021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + h**2 + 9*h - 8. Let s be f(3). Suppose -47 = -2*x - s. Which is the second smallest value? (a) -0.4 (b) 1.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/20)*s)**(-1\/18) assuming s is positive.\nAnswer: s**(-7\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.248585 and 1.04?\nAnswer: 5.4585284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1))**40\/(r**0*r**(-2\/15)*r) assuming r is positive.\nAnswer: r**(1187\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 - 9*q + 0*q - 8*q to a*q**2 + y*q + w and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*s + 14 = -0*s, 3*s - 7 = -2*u. Suppose -3*o + 3*c + c = 14, u = -o + 2*c. Solve -o*r = -0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -29*g - 7. Let t(w) = 82*w + 18. Let j(y) = -17*a(y) - 6*t(y). Calculate j(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 3*s**2 - 20*s. What is f(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 822364484 to the power of 1\/3, to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.1 and 51.\nAnswer: 46.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -34034 (base 7) in base 2?\nAnswer: -10000110011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s + 52. What is l(20)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 176 = 6*p - 2*p, 0 = -5*i - 4*p - 412. Let j(t) = -t**2 - 32*t - 9. Let u be j(-32). Calculate the remainder when i\/u*36\/8 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/4 + 991*z**2\/4 - 3493*z\/2.\nAnswer: z*(z - 7)*(z + 998)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**7*c\/(c**(-8)*c*c)*c**(-2\/25)*c**(-3) assuming c is positive.\nAnswer: c**(273\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-34)\/85*(-15)\/9*3. Solve 109 - 99 = -h*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 217*t**4\/2 + 575*t**3\/3 - 2*t - 125. What is the second derivative of g(n) wrt n?\nAnswer: 2604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*4\/6*20\/(-90).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**5\/180 - t**4\/8 - 10*t**3\/9 + t**2 - 6*t. Factor i(o).\nAnswer: -(o + 4)*(o + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -256 + 446. Let o = 191 - h. Solve -o - 1 = 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven quarters of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -54501, -107729, -160957?\n\"Answer: -53228*h - 1273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, 4\/3, 0.4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 1, -211, -489, -773, -1003, -1119, -1061?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 829656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 7*q**2 - 8*q. Let s be g(-7). Suppose 3*f = 7*f - s. What is the greatest common divisor of 21 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 12:49 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbvbkbbgbckivbk. Give prob of sequence bg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4464 = 3*b + 24*b. Solve b*z = 128*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147300 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2) + (0 - 2). Is -1\/22 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -12.334.\nAnswer: -11.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1077.14 + -1077. Is -22 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/6)\/(1\/(-15)). Suppose 0 = 3*x - 3*v + 5*v - 5, -45 = -j*x + 4*v. What is the third derivative of 2*i**2 + i**x + i**5 - 3*i**2 wrt i?\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1877*m**3 - 4*m**2 - 622*m + 3. Let z(x) = -3755*x**3 + 7*x**2 + 1243*x - 5. Let i(v) = -7*u(v) - 4*z(v). Find the second derivative of i(n) wrt n.\nAnswer: 11286*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-11))**(-50)*(x**(-8)\/x)**(1\/20) assuming x is positive.\nAnswer: x**(10991\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 937295841*o**2 - 323762286 with respect to o.\nAnswer: 1874591682*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107707 is divided by 4152?\nAnswer: 3907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 8. Let l be (-23)\/o - (-6)\/(-21). Suppose 16 = 4*z - m, l*m - 5*m = 4*z - 16. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/64778 and 22\/13.\nAnswer: 842114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6*-2)\/(2\/1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*h*s**2 + 70*h*s - 854*h + 4060*s**2 + 1394 with respect to s.\nAnswer: -20*h*s + 70*h + 8120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 132*f = -129*f - 30, 0 = -f + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, 16, -5, -3 in decreasing order.\nAnswer: 16, 6, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100111 - 1111010000000001110?\nAnswer: -1111010001000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2460618 divided by 9\nAnswer: -273402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1395075.\nAnswer: 3, 5, 11, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -220?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 2*3\/6. Suppose -3*f = 0, -8 = -4*y + n*f - 40. Is ((-6)\/(-8))\/((-1)\/y) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.05 or 0.4204?\nAnswer: -2.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207494 is divided by 5183?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j - 58*j**2 + 3*j - 2671 + 2668 in the form d*j + w + i*j**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*q + 9*q. Suppose q = 4*d + 4*d - 12376. Suppose 12*g = -5*g + d. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o + 1. Calculate x(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**5 + 6*z**4 + 9*z**3 - 24*z**2 + 12*z = 0. Calculate z.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 at most -200\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 234*y - 218*y - 749*y - 13927 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 2:36 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3643, 12710, 27821, 48976, 76175, 109418?\nAnswer: 148705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 23. Solve -1 = -y*v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2288 + -4493\/2. Suppose -186 = -3*q - l, -36 = -q - 3*l + 34. Calculate the common denominator of q\/6*(-3)\/(-4) and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10494 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((0 - 0) + 2)\/(24\/60). Solve 5*j = 5*q + m - 0, 7 = 3*j - 5*q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -41*v**6\/3 - 161*v**3\/3 + 8. Find the third derivative of i(n) wrt n.\nAnswer: -4920*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 14*h - 24 = 0. Which is the second biggest value? (a) 5 (b) -5\/4 (c) 0.05 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 39, -3 in decreasing order.\nAnswer: 39, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g - 5*g - 5*g**2 + 0*g**2. Let d(p) be the second derivative of p**3\/3 + 19*p - 2. What is u(d(o))?\nAnswer: -20*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -457, -954, -1661, -2584?\nAnswer: -3729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2*l + 31 = 0, -3*l = 3*x - 7*x + 36 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2.3 (b) 1\/7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 7. Let n = 2 + u. Let x = n - 3. Calculate the remainder when 7 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3598.55 rounded to the nearest ten?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738 is divided by 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 25*s - 13. Let m be l(4). Let w = 86 - m. Let k(f) = f**3 + f**2 - f + 2. Let h be k(0). What is the nearest to 1\/4 in w, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 146 - 106. Suppose 4*c + 0*c - 116 = 0. What is the second derivative of 6*o**2 - y*o**2 + o - c*o - 15*o wrt o?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26627117.\nAnswer: 11, 17, 142391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -18760 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 604 + -565. Suppose 45*h - v*h - 87018 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -384, -769, -1154, -1539, -1924, -2309?\n\"Answer: -385*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 873128.139 + -873503. Let t = 262.8543 + i. Let p = -112 - t. What is p rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 293 + 517. Suppose 4*u - f = -3*r - 1, 5*u - 504 = -4*r. Let p = u + -66. What is the common denominator of p and 15\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**6\/72 - d**5\/60 - 2*d**3 + 2. Let w(m) be the third derivative of i(m). What is the second derivative of w(f) wrt f?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 25.4. Let m = p - 2.4052. Round m to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(832) + -3 + 4)**2.\nAnswer: -16*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 12, e: 2, v: 3}. What is prob of picking 2 v?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -385 - -396. Suppose 4*u - 50 = -u. Is u greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**2\/9 - 4*s\/3 - 8 = 0. Calculate s.\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 16 = -19 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2134)\/110 - ((-3)\/(-5) - 1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/6)\/((-35)\/(-1092)*13)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 8 (b) -0.2 (c) -3\/4 (d) 4\/3 (e) -0.69 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-8))\/(-3)*(-448642)\/(-6663).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 8*t + 0*t**2 - 1\/2*t**4 + 0 + 0*t**3. Let b(g) = 5*g + 2. Let i(n) = 22*n + 9. Let c(l) = 9*b(l) - 2*i(l). What is c(z(k))?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -9, -0.03, 12, -1\/4 in descending order.\nAnswer: 12, -0.03, -1\/4, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 3:09 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 226220507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*u - 3*u**3 + 18*u - 17*u - 12*u**2.\nAnswer: -3*u*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 7. Let j(x) = x**2 + 3*x + 4. Let n be j(-2). Suppose -3*r = -2*w - 23, 0 = n*r + 2*w - 0*w - 2. What is z(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21499 divided by -563.\nAnswer: -21499\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -196 (b) -3 (c) 1 (d) 4\/5 (e) 2.34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = n - 5195 - 670, 0 = -4*n + 5*g + 23418. What are the prime factors of n?\nAnswer: 3, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 46?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 + 2*g**2 + 2*g - 5. Suppose 448 = -111*a + 125*a. Calculate the remainder when t(-3) is divided by a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 2*k + 10*k - 2*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/348859 and -41\/98088.\nAnswer: 560965272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*l**2 - 2*l - 431*l**3 + l - 44*l**2 + 32*l**2 - 2*l**4 as o*l**4 + x*l + y*l**3 + g*l**2 + q and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 10302?\nAnswer: -10242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**4 - 9*t - 52*t**3 + 2*t**4 + 12*t - 5*t to the form m*t**4 + p + a*t + w*t**2 + u*t**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/7 - 6\/(-21). Solve 0*n + n + 1 = d, 1 = b*n + d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a factor of 59640772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (4 - -16) + (-17 - -6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 1\/2 (b) 0.3 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b3c1 (base 13) in base 11?\nAnswer: 104a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*x + 9*x - 14*x + 6)*(-2 + 7 + 1)*(2*x**3 - 2*x**3 + x**3) as n*x + b + c*x**2 + w*x**3 + d*x**4 and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 68, 106, 146, 188?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, 3, -4, 5 in ascending order.\nAnswer: -4, 3, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-8943.\nAnswer: -35772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 197 + -234 + (-34 - 2)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6 - -3)*(-6)\/9)\/(-2). Is b at most 1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -665, -744, -887, -1136, -1533, -2120, -2939?\nAnswer: -4032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4489.\nAnswer: -4489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -2 - 1\/120*i**6 + 0*i - i**2 + 1\/20*i**5 + 1\/12*i**4 + 0*i**3. Let m(r) be the second derivative of w(r). What is m(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -272.85328433?\nAnswer: -273.15328433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3744, -3743, -3742, -3741, -3740?\n\"Answer: b - 3745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (31 + -1 + 1)*4\/(-20) and (-3)\/9 - (-10)\/6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24618 - 24618 + 224*i)*(-6 + 2 + 2 + (-2 + 5 - 1)*(4 - 2 - 3)).\nAnswer: -896*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 15*q - 335 = 0. Let d = q + 334\/5. Let f = -2 - -1. Which is the second biggest value? (a) -3 (b) d (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 1. Let k(d) = -26*d + 13. Give 26*f(m) + 2*k(m).\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75*p + 2*p - 65*p - 5*p)*(-77 + 109 + 3*p**2 - 2*p**2).\nAnswer: -143*p**3 - 4576*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -331.065+-0.65\nAnswer: -331.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpubkwkw. Give prob of sequence zpuw.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11083 + 2659 = -555*l + 231*l for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3277e0 + 21?\nAnswer: 327811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -1b3da?\nAnswer: 1b3d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16237584 to the nearest integer?\nAnswer: 4030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/3625 and 133\/609500?\nAnswer: 17675500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31525386?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 18*i**2 + 19*i - 36. Determine t(20).\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 60\/13 or -7\/6?\nAnswer: 60\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1461 + 9*p**2 - 149 + 148.\nAnswer: 9*p**2 - 1462","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -159 * -0.996613.\nAnswer: 158.461467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1933, 1934, 1935, 1936, 1937?\n\"Answer: x + 1932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-12 - -10 - 13) - (-23 - -1)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 3)*(-2*y + 4*y - 4*y) + 0*y - y + 0*y - 3*y + 3*y - 2*y + (-5 - 2*y + 5)*(3 - 3 - 3) in the form c*y + m and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160112689 a multiple of 421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -146.4 + 130. Round l to zero decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -29 and 0.0161.\nAnswer: -28.9839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 1081 = -25*h - 793 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 12. Let r(f) = 13*f - 14. Calculate 3*r(l) + 2*z(l).\nAnswer: 37*l - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jioojsse. Give prob of picking 2 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/6)\/((2\/(-36))\/((-219)\/2628))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 3444*d**2 - 17304*d + 13856.\nAnswer: 4*(d - 4)*(d - 1)*(d + 866)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(64) + sqrt(64)*2).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 182654356 to the power of 1\/3, to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 6, g: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -264 - -259. Which is the nearest to 0? (a) z (b) -15 (c) 3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 8:12 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(204) + sqrt(204)*-1 + sqrt(204))*1 - sqrt(204)) + sqrt(204) + sqrt(204))*4)\/(sqrt(972) + (sqrt(972) - -1*sqrt(972))*-1).\nAnswer: -8*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - d - 12 = -21, -4*d = 2*u - 6. What is the smallest common multiple of u and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 304*s + 1700*s + 2271*s - 441*s - 679*s to l + o*s and give o.\nAnswer: 3155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -110521?\nAnswer: -110522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1189.9 - 1189.82607. What is k rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -332 + 417. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -3*d + 26, -10 = 5*d - 63*n + 67*n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.04 + -21.34. Let h = 19.9771 - 0.6678. Let c = h + o. Round c to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 832 and 191267232?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/7 - 319498*h**2\/7 - 12770887040*h\/7 - 879670732800\/7.\nAnswer: -2*(h + 69)*(h + 79840)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 7*m = -9582. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2521*u**2 - 8*u - 2. Let k(o) = 2516*o**2 + 10*o + 2. Give -4*k(y) - 5*t(y).\nAnswer: 2541*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/12 and -25\/264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 - 55*d**2 - 90*d - 40.\nAnswer: 5*(d - 4)*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgagmyyghmzg. What is prob of picking 1 z and 2 m?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txx when three letters picked without replacement from txtttttttxx.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**4\/4 - 6243*y**3\/4 + 31269*y**2\/4 - 43797*y\/4 + 9387\/2 = 0. What is y?\nAnswer: -2086, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 192*c + 110. Let v be x(-4). Let k = -443 - v. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0.09. Let w = 292.7 + -292.3. What is the closest to -0.5 in b, w, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22153 (base 6) to base 15\nAnswer: -db3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 200 = -l. Calculate the highest common factor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 706288543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/2*(-1 + 3 + -12). Let h = 65 + o. Solve h = -4*m + 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71246527111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008400189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, t: 3, x: 11}. Give prob of picking 1 r, 1 t, and 1 x.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 1.1. Let b = 6.0102 + -8.0102. Is b greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r**3 - 11*r + 4. Let n(v) = 29*v**3 + 17*v - 6 - 7*v**3 - 6*v**3 + 3*v**3 - 8*v**3. Suppose -10*z + 22 = -58. Determine z*f(g) + 5*n(g).\nAnswer: -g**3 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1502.5 + -799.5. Which is the third smallest value? (a) -5 (b) x (c) 3\/5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g + 3*z = -4, -z - 6 = -4*g. What is the third smallest value in g, 0.3, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33563890 or -33563889?\nAnswer: -33563889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18217469427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.004 + 0.046. What is the fourth biggest value in -2, 4, b, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*a - 155*a + 684*a - 140*a - 196*a - 185*a.\nAnswer: -137*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:43 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/4823 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -12\/73 in decreasing order.\nAnswer: 4, -12\/73, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 6*r + 16 - 93, 2*j = 3*r - 32 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -4, -2470, -1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 4185019685 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*v = 66*v - 37037. What are the prime factors of v?\nAnswer: 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64838 divided by 3?\nAnswer: 64838\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 3)*(-1 + 2*x + 1) + (-3 + 2 - 1)*(-x - x + 0*x + (-2*x + 2*x - 2*x)*(-1 - 3 + 2) - 4 + 4 - x + 3*x - 9*x - 10*x).\nAnswer: 38*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 100, -5, 21, 0.17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2178, 8583, 19250, 34173, 53346?\nAnswer: 76763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/19)*w**14)\/(w*w*w**(-2\/3)*w**(-1\/11)) assuming w is positive.\nAnswer: w**(7933\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5545339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjkjtjjwwnwjjtjwntj. What is prob of picking 1 n and 1 t?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-269)\/(-132) - 2\/(-8) and (-35)\/(840\/(-592)) + (-6)\/4.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**2 - 185*k - 775. Calculate the smallest common multiple of 704 and f(-4).\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a*(a*a*a\/a**(2\/17)*a*a)\/a)\/a)\/a**2*(a**(-1\/6)\/a)\/((a**(-12)\/a)\/a))**(-2\/5) assuming a is positive.\nAnswer: a**(-341\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(110)\/(sqrt(30)\/sqrt(3)*-6).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4323 * 0.6\nAnswer: -2593.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 43*s - 503. Let u be b(39). Which is smaller: -348 or u?\nAnswer: -348","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1\/5 (c) -12 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 623701.8 millennia in decades?\nAnswer: 62370180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**2)**(-36) assuming v is positive.\nAnswer: v**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/13 or -26721?\nAnswer: -26721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*w - w. Let d be 5 - ((-3)\/w)\/(-3). Which is smaller: 5\/2 or d?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -30. Let i(s) = s**3 + 6*s**2 - 3*s - 14. Let m be i(q). Suppose -m*x + 4*o = -3360, -3*o = 4*x - 4872 + 1526. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -334 and 0.5.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*s - 5 + 0 + 4 + 12*s wrt s.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2626 and 24442?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1187, -1188, -1189, -1190, -1191?\nAnswer: -1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3098792886 + -3098792899.86567893. Let v = f + 14.025679. Let g = 0.16 - v. What is g rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/9*2 - 87\/(-27). Let s be (a - 14\/4)*2*-12. Let i(g) = -g**2 + 17*g - 12. What is the units digit of i(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2925)\/(-125) + -21)\/(4 + 57\/(-15))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -26*t**5 - 11*t**2\/2 - 3*t - 109. Find the second derivative of f(a) wrt a.\nAnswer: -1560*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*o - 147 = 198*o + 48. Let s be 86\/(-4)*-3*2. Suppose -6*j = -o - s. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(2\/3)*k))\/k)**(2\/37)*(k*k\/k**(-2))\/(k\/k**3*k)*(k\/(k*k\/(k\/k**(1\/3)))*k\/(k**(2\/25)\/k)*k)\/(k**(-1\/2))**(1\/15) assuming k is positive.\nAnswer: k**(41491\/5550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*w - 103 = 0, -u + 2*w - 4*w = -12. Suppose 0 = -3*t - 4*p + 15 + u, 12 = 3*p. Which is bigger: t or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7843081, -7843093, -7843109, -7843129, -7843153?\n\"Answer: -2*x**2 - 6*x - 7843073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 686 - 686.000238. What is t rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189527 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 7*t**2 + 12*t + 4. Let f be p(4). Suppose -3*u - 4*o + 29 = -2*o, -2*o - f = 0. Factor u*b**4 + 0*b - 4*b - 6*b**3 - 18*b**2 - 3*b**4.\nAnswer: 2*b*(b - 2)*(b + 1)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 735 (base 12) in base 7?\nAnswer: 3026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/2 + (-2 - 0). Suppose 5*n - o = -8, 4*n - 5*o = -3 + 5. Let a = 1 - 0. Put n, a, v in descending order.\nAnswer: v, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.8 + -6. Let d = 0.1 + m. What is the closest to 1 in 4\/7, d, -5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/2 (b) 0.3 (c) -15 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u**3 - 3*u. Let n(t) = -17*t**3 + 8*t. Let w = 66 + -58. Suppose 3 = -9*s + w*s. What is s*n(o) - 8*d(o)?\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/4 - (1 - 13). Differentiate 8*n**4 + r*n**4 - 27*n**4 - 8 with respect to n.\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2064, 3533, 5002, 6471?\nAnswer: 7940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 41 = -4*s + 2*s, -s - 43 = 5*b. Let f(d) = -d**2 - 10*d - 6. Determine f(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/20 (b) 0 (c) -46\/53 (d) -1107\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*w - 148 = -22*w. Put w, -2.3, 5, -4\/3 in decreasing order.\nAnswer: 5, -4\/3, -2.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -37 + 39 + 16\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 3*o**5\/10 - 3*o**4\/4 + 3*o**2\/2 - 3*o\/2 - 7. Factor z(r).\nAnswer: 3*(r - 1)**3*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7433037\/64 - -116136. Which is smaller: n or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11518403 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t**3 - 474*t**2 - 7016*t - 30912 = 0. Calculate t.\nAnswer: -21, -92\/5, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 6*f = 0. Suppose -3*v - 2*v + 45 = f. What is the greatest common factor of v and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3356977564 to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 459255451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 103*b**8\/16 + 11*b**4\/6 + 19*b**3\/6 - 1522*b**2. Find the second derivative of t(p) wrt p.\nAnswer: 43260*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8233497 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.38 from 0.02689.\nAnswer: 4.40689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 372\nAnswer: -74.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 + 300*x**3 - 8577*x**2 + 52716*x - 44436.\nAnswer: -3*(x - 46)**2*(x - 7)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**3\/13 + 40912*u**2\/13 + 81830*u\/13 + 40916\/13 = 0.\nAnswer: -1, 20458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -38982536.\nAnswer: 38982535.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 328 + -232. Suppose s*u - 90*u = 1650. Let z(g) = -2*g + 7. Let c be z(-9). What is the highest common factor of u and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*c*y**3 - 1110*c*y + 54648*y**3 wrt c.\nAnswer: -3*y**3 - 1110*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 s, and 1 z when four letters picked without replacement from vvvsvvvvvvvzsv?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d + 10*d + 196 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 + 3*t**2 + 3. Let a(p) be the third derivative of -p**6\/60 + p**5\/15 + 2*p**3\/3 - 172*p**2. Give -3*a(f) + 4*d(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.7901*-6.\nAnswer: -16.7406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-1)*15\/(-300))\/(24\/(-920)).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*h - 222*h + 130*h**2 + 303*h**2.\nAnswer: 433*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88446?\nAnswer: 2, 3, 14741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 4 (b) 3\/4 (c) -2\/17 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j. Let m(n) = -2*n - 38173. Determine m(o(b)).\nAnswer: -4*b - 38173","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 - 2*m**2 - 2*m + 1. Let g(z) = -3247*z**3 + 4*z**2 + 4*z - 458. Let n(a) = -g(a) - 2*u(a). Differentiate n(i) wrt i.\nAnswer: 9729*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k**2 - 2*k**2 + 0*k**2)*(2 - 1 - 3) + (0*k**2 - 2*k**2 + 3*k**2)*(-1 - 2 + 1)*(19 + 3 - 1) as l*k**2 + f*k + d and give l.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -8*d + 22. Suppose -340 = -2*q - d*k, -4*q + 3*k = -9*q + 850. Does 34 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 + 0*y + 0*y**2 + 100\/3*y**5 - 194\/3*y**4 + 0.\nAnswer: 2*y**3*(y - 2)*(50*y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 535 = 4*r + 3*n, 2*r - 2*n - 260 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8869 and 396900?\nAnswer: 71838900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -22*h**3 + 13*h**2 - 38*h - 371. Let n(c) = -3*c**3 + 2*c**2 - 6*c - 62. What is -13*n(o) + 2*u(o)?\nAnswer: -5*o**3 + 2*o + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -283, -281, -279, -277, -275?\n\"Answer: 2*r - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4932092 is divided by 704583?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1303*t - 90402 = 677*t + 22119 - 3621 for t.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -450028 divided by -4\nAnswer: 112507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + s, 2*f = -15*s + 19*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 71\/5 + 8\/10 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 8*v - 14. Let o(i) = 0*i**3 + 272 - 2*i**3 + 8*i**2 - i - 272. Let k be o(4). Calculate p(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3200\/180 + -18 + (-1)\/36?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 731, 2917, 6561, 11663?\n\"Answer: 729*k**2 - k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2. Let j(y) be the second derivative of y**6\/180 + y**3\/2 - 5*y. Let g(v) be the second derivative of j(v). Give g(r(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2626, 2\/7, 3, 3.1 in decreasing order.\nAnswer: 3.1, 3, 2\/7, -2626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3204 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1428 = 6622*c - 6571*c for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*o**3 - 22*o**3 - 4217 + 4217.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4123 - 41334?\nAnswer: -32211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 101011110000001111?\nAnswer: -101011110000001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 590945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*k + 128 = -z, 2*k = -3*z - 340. Let a = -50 - z. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1240*b**4*s**3 - 2*b**4*s**2 - 1212*s**3 with respect to b.\nAnswer: -4960*b**3*s**3 - 8*b**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a58cb - 79?\nAnswer: -a5955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 123 - 221. Let s = -78.5 - t. Round s to 0 decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 5*d - 322 + 232, d + 12*v - 62 = 0 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (126 + 8 + -60)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -419.3 rounded to the nearest ten?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 11*f - 2*f**3 + 7 + 0 - f - 3*f**2 + f**3. Let z be u(-5). Suppose 12 = z*w - 4*w. Solve -13 - 1 = w*c + 3*i, -2*c = 2*i + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 3 + -3 - -4 - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00201544914 to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20735 - 996. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qltc when four letters picked without replacement from {q: 1, l: 4, c: 6, o: 2, t: 1, d: 4}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011 (base 3) in base 12?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -85? (a) 1\/4 (b) 5 (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35699 + 72872. List the prime factors of f.\nAnswer: 3, 12391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**3 - 4*u + 4. Let z(p) be the third derivative of -11\/8*p**4 + 6*p**2 + 11\/2*p**3 + 0*p - 1\/5*p**6 + 0 + 0*p**5. Calculate -33*n(y) + 4*z(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 + 11*j - 60. What is d(-6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000036267985 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 207.74 - 5.24. Let o = l + -203. Sort 3, 2\/5, o in descending order.\nAnswer: 3, 2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 48007106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*c - 219, 5*c - 340 = -2*k - 3*k. Let n = 73 - c. Solve -n = 4*a - 3*w + 2, -4*w - 12 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1029 divide 64712781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -161398531 + 97028531. Round y to the nearest one million.\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1329 rounded to the nearest ten?\nAnswer: -1330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -6. Let p = 15 - m. Solve 3*y = 2 + p, 4*k - y = 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1369834 and 1472.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -64, 1\/3, -17, -11, -4, -0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 593, 610, 627, 644, 661?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.5, 0.13, -4 in decreasing order.\nAnswer: 6, 0.13, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123220 (base 4) to base 11.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -10. Let f(a) be the second derivative of a**5\/120 + a**4\/24 - 161*a**3\/6 - 119*a. Let m(i) be the second derivative of f(i). What is m(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, e: 2}. Give prob of sequence ell.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11943.\nAnswer: 3, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 837.4 + -799.326. Let q = h + -38. Let b = -0.0740039 + q. Round b to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*x - 15, -5*x = -6*m + 2*m + 29. Let z = x - -6. Is (-123)\/(-12)*z*12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53390518.98 rounded to the nearest one hundred thousand?\nAnswer: -53400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 345 = 421. Solve 5*z = -k*z - 81 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15270 (base 9) to base 14.\nAnswer: 3b31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 190 + -1c?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 5*w + 3. Let l be p(5). Suppose -7*b + l*b = 36. Let a = b + 15. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -4\/138381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -9. Suppose d*w - 20 = -5*w. Suppose w*q - 34 = 2*q. Calculate the remainder when 33 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 81 (b) -1\/10 (c) 6\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/(h*h**0))**(-4)\/(h**(-14\/5)\/(h\/h**(-7))))**(-28) assuming h is positive.\nAnswer: h**(-392\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56897164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**5\/60 + 1415*m**4\/12 - 2002225*m**3\/6 + 3328*m**2. Suppose s(z) = 0. Calculate z.\nAnswer: 1415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -535, -5209, -14017, -26959, -44035?\n\"Answer: -2067*d**2 + 1527*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 8:26 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1732, -10, -4, -5 in ascending order.\nAnswer: -1732, -10, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 40.99134 meters?\nAnswer: 0.04099134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 10*s + 7*s + 0*s. Let u(q) = -3*q. Determine o(u(l)).\nAnswer: -51*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*0*(0 + -1). Let l = 12 + -12.34. Let p = l + -0.06. What is the nearest to y in p, -0.5, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110111100110000010010 (base 2) in base 7?\nAnswer: 125650362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111125 and 20125.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3*c + 7 = 19, 20 = 5*o + 3*c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 674, 1285, 1896, 2507?\n\"Answer: 611*g + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/810 and -41\/8697.\nAnswer: 2348190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*r + 6*r - 54, -3*r - 9 = 0. Let u be (-105)\/h + 2\/(-11). Suppose 3*w = -w + 20. Solve -w*q + 7 + u = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*m + 4751 - 3921 - 15394 = 0 for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 260985433 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 5)*(-x + 2*x - 2*x) + (2 - 2 + 1)*(11*x - 17*x + 21*x).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 10:24 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ad584 (base 15) in base 14?\nAnswer: 26196d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 20*y**3 - 3*y - 36*y**3 + 1 + 19*y**3. Let t be h(2). Solve -2*r - 3*r - 5*q = t, r = -5*q + 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 10*d - 6*d - q, 4*q = 4*d - 40. Solve 0 = -i - 3*h + d, 5*i + 3*h - 6 = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 5*k + l - 6, 9 = 3*k + 2*l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 17*f - 11*f. Let y(z) = z**3 + z - 1. Let v be y(1). What is the derivative of v + 1 - w + f*w - 4 wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b - 56, -3*b = 5*i - 2632 - 9487. Calculate the remainder when i is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 3 + 2*-4. Let j(h) = h**3 + 4*h**2 - 2*h - 2. Calculate j(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1550 + 781. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppxpxpdpd. What is prob of picking 1 x and 1 p?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01742 + 0.0129. Round y to four decimal places.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1357927805 to the nearest integer?\nAnswer: 36850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 1650 - 1380 = 0. Let p = 3029\/10 + n. Which is the second biggest value? (a) -5 (b) 0 (c) 3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -13 - 32. Suppose x*m - 149 = -59. Differentiate -13 + 19*n**3 + m - 19*n**3 + 35*n**4 wrt n.\nAnswer: 140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, j: 1, y: 1, d: 1}. What is prob of sequence ppy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -303 + 379. What is the remainder when q is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 167*h**3 + 16878*h**2 + 79805880*h.\nAnswer: 1002*h + 33756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(15)\/sqrt(3) + sqrt(5) + 4)**2.\nAnswer: 4*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -23040.\nAnswer: -1\/1920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20644 is divided by 440?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1582 is divided by 113.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110300302220 (base 4) to base 10.\nAnswer: -5442728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 12:03 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -50, -91, -130, -167, -202, -235?\n\"Answer: c**2 - 44*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + (sqrt(325) + (sqrt(325)*-2*-2)**2 + 1*sqrt(208) + -3 + 5)*-3.\nAnswer: -15603 - 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuoouuuuuouduuuuuuuu. What is prob of sequence oo?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -146, 0.7, 23, -2, -3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*o = -4*s - 43*o + 4204, 2*o = 2*s - 2086. Calculate the highest common factor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*d + 24*d + 7 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.09 and 3747.\nAnswer: 3747.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 15. Let d(c) = 7 + 3*c**2 - 2*c**2 - 5*c**2 + 2*c**u. Let j(z) be the second derivative of z**4\/6 - 4*z**2 + z. Calculate 6*d(y) + 5*j(y).\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3 = 2*i - 15, -2*z = -6. Let m = 20 - i. What is the highest common factor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -505 divided by 101\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -366 - -527. What is the remainder when r is divided by 30?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -24*l + 1. Let c(u) = u**2. What is c(h(a))?\nAnswer: 576*a**2 - 48*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2092 - 152*d**4 - 22798*d + 11401*d - 60*d**4 + 11397*d with respect to d.\nAnswer: -848*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + 19?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 721362 by -1103.\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 11174354.4 to the nearest ten thousand.\nAnswer: 11170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1529*h + 3388*h + 3331*h + 1103*h to the form c + o*h and give o.\nAnswer: 9351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23759021.933 + 0.0331.\nAnswer: -23759021.8999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3))**(-9\/5) assuming g is positive.\nAnswer: g**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-8)\/(-72))\/(-1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 - 0.07. Let i = -0.02 + -0.28. Which is the closest to u? (a) i (b) 4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*t + 10 = 0, -i = -2*i - 2*t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 312\/60)\/((-3)\/(-20)). Let q = 8 + -4. Calculate the greatest common divisor of q and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 12809180.\nAnswer: -1\/6404590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 - 65 = -8*a. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-3) - (-4 + -1)\/1.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**5 - 4*u**4 + 4*u**4)*(2 - 3 + 0 + 0 + 1 - 3 + (2 + 0 - 1)*(0 - 3 + 2) - 1 - 94 - 146).\nAnswer: -980*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 20 + 35)*(-14*w**2 + 16*w**2 - 3 + 1) in the form r*w + l*w**2 + v and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from iiyiyiiiiyi?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 0 + sqrt(1872))*-2 + 4 + ((-2*sqrt(325))**2 - (sqrt(13)*2*3)**2).\nAnswer: -48*sqrt(13) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3\/4 - 21*d**2\/4 + 18*d + 108 = 0.\nAnswer: -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2496 + -2493. Put -1, v, 561 in ascending order.\nAnswer: -1, v, 561","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 7. Let w be s(-5). Let q be 0*((-63)\/(-7))\/9. Suppose -4*l + 13*l = q. Solve w*d + d = l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2508, -3386, -4850, -6900, -9536, -12758, -16566?\nAnswer: -20960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2047967 is divided by 682652?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000139494 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 2 (b) 1 (c) 5\/3 (d) 0.4 (e) 1\/133\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 14. Give k(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61893 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-8) + -2 + (-18)\/(-8). Let u be (2\/6)\/(p\/(-18)*1). Let j(b) = -b**2 + 2*b + 8. What is j(u)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or 4.288493?\nAnswer: 4.288493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 79287882, 158575765, 237863648, 317151531, 396439414?\n\"Answer: 79287883*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1734584*v - 2668954 wrt v?\nAnswer: -1734584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210 - -21?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/13, 1, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 32 = -8*a - 4*j, 3*a - 27 = -2*j. Solve r + 5*x = 19 + a, -r - 15 = -4*x for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 22*n**2 - 89*n - 6. Let h be c(5). What is the highest common divisor of 22 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 3:56 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.2 - 5. Let k = 1 - 2. Which is the nearest to 2\/3? (a) -4\/3 (b) z (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, b: 2, s: 2, v: 1, y: 3, g: 1}. Give prob of picking 1 y, 2 z, and 1 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/4)\/((-18)\/60). Suppose -4*p - p = 3*s - 37, -5*p + g = 0. Suppose -d - 4474 = -s*x + d, 3*d + 4473 = 4*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101986\/7 or -14569?\nAnswer: -101986\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 24*p + 43. Let i be m(-21). Let t = i + 768. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 365794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + 0*u**2 + 0*u**2 + 3*u**2 - 7*u**2 + 3*u**2 + 4*u**2 + 0*u**2 - 3*u**2 + (-5*u + u + 6*u)*(-1 - 2*u + 1) + 378*u**2 - 681*u + 681*u.\nAnswer: 375*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 427 + -429. Which is the nearest to v? (a) 7 (b) 4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5361980 and 533?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3 + (-3)\/((-45)\/385). Let y be h\/22 - 1 - (-40)\/22. Solve 5 = -y*c - 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 10*i**2 + 4*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -200, -683, -1558, -2873, -4676, -7015, -9938?\n\"Answer: -8*m**3 - 148*m**2 + 17*m - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -578, -603, -632, -665, -702?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1802*p**3*x**2 + 70*p**3*x + 153*p**2*x**2 - 2*p**2*x - p*x + 6*p - 5*x wrt x.\nAnswer: 3604*p**3 + 306*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 5) in base 13?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 47441.54mg?\nAnswer: 47441540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7))**(1\/6)\/(l*l**(-5)*(l**(-3)\/l)\/l) assuming l is positive.\nAnswer: l**(190\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*b + 2*j + 3*j, 0 = 2*j + 8. Let y = b + 8. Solve 2*d + 10 = 0, -3*w + y*d = -d - 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 - 3*i + 4. Suppose -p - p = -10. Let t be q(p). Suppose -3*j = t - 381. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -5. Let x(c) = 4*c**2 + 2*c + 1. Let t be x(2). Suppose -9*b = 167*b - 352. Solve b*l = d + f, 5*d + 3*l = d + t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -1.86403.\nAnswer: -1.86403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -450*q**4 + 19680*q**3 - 101498*q**2 + 132756*q - 51376 = 0.\nAnswer: 13\/15, 4, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.081 less than -3868.6?\nAnswer: -3868.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4421*k + 2*k**3 - 4421*k.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/1218*58\/4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 674211225 by 120675.\nAnswer: 5587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 2:39 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23322 - 23321.9. Let f = 5 + -4. Which is the closest to n? (a) -6 (b) -1\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4811630.\nAnswer: 2, 5, 131, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -61*u - 4. Let x be v(-2). Let y = x - 36. Does 41 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2315855 is divided by 8452.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -10 - (-12 + 3) - (3 - (48 + 2))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 1\/20*r**5 - 1 + r**2 + 113*r + 1\/6*r**4 + 5\/6*r**3. Give q(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00058370389 - -0.0246?\nAnswer: 0.02518370389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (24\/3)\/(-4). Let t(b) = 3*b**2 - 4*b - b**3 + 5*b**2 - 3*b**h - 2*b. Determine t(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 3*g**2 + 3*g**2)*(-353040 + 824*g + 353040).\nAnswer: 2472*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.015 and -651?\nAnswer: 9.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u - 96 = 120 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/15 + 8*n**2\/5 - 56*n\/15.\nAnswer: 2*n*(n - 2)*(n + 14)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3 = -2434*m + 2433*m, -3*d = 6. Sort -8, m, -26, 0 in increasing order.\nAnswer: -26, -8, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 + 40063082*x**2 + 200631297385798*x - 200631337448882.\nAnswer: 2*(x - 1)*(x + 10015771)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(17) + 0 + sqrt(425) + (sqrt(17) - (sqrt(2448) + (sqrt(2448) - (sqrt(2448) + -1)))**2) - (2 + (sqrt(833) + 1 + -3)**2)).\nAnswer: -44*sqrt(17) + 13152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6150 and 280.255.\nAnswer: -5869.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82*s**6 + 6*s**2 - 75*s**2 + 87*s**6 - 5*s**5 wrt s.\nAnswer: 600*s**3 - 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 6 = b, -2*a + 2 = 3*b - a. Suppose 4*s + 2*o = -2*o + 12, 0 = s + 5*o + b. Suppose 0 = l - s*k - 26, -4*l + 3*k + 48 + 4 = 0. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.8 + -4.611\nAnswer: 14.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 9:23 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*(x*x\/(x*x**(-5)\/x))\/x*x*x\/(x\/x**(-29)) assuming x is positive.\nAnswer: x**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**4 + 2*y**4 - y**4 + (3 - 3 + 2*y**3)*(-708*y + 713*y + 4 - 1) to the form m*y**4 + s*y**3 + t + g*y + f*y**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 3. Let v be x(-3). Suppose 4*l + 4 - v = -4*o, -2*l + 10 = o. Suppose 2543 = 3*z + l*q, 3*q = 3*z + 5*q - 2531. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/8 + 397289*d\/8 + 1986245.\nAnswer: (d + 40)*(d + 397249)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - 4*q + 3. Give b(6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 - 17*d. Determine b(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*c = 86*c + l - 10, 3*c + l - 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6220, 5\/193, 5, 3 in decreasing order.\nAnswer: 6220, 5, 3, 5\/193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3514 - -52711\/15. Let n(r) be the first derivative of 13 + w*r**6 + 0*r**2 - 16\/75*r**5 - 4\/45*r**3 + 0*r + 7\/30*r**4. Factor n(b).\nAnswer: 2*b**2*(b - 1)**2*(3*b - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/3*84\/8. Suppose -36 = -2*q + 3*j, 5*q = 2*j + y + 44. Solve -4*b - q = d, 0 = -3*b + 2*d - 2 - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) -2\/5 (c) -1.04 (d) -15\/7 (e) 1\/2 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 2*u - u**2 + 12*u**3 - 2*u**2 - 10*u**3 to z + o*u + x*u**2 + f*u**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1308 - -1307.329. Let w = -119 + 118.29. Let p = x - w. What is p rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5904?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 less than -216?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(712\/(-8010))\/((-2)\/3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 12:21 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.688 + 1.7. Let l = b + -0.011938. Round l to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 12:09 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4583, 13172, 27487, 47528?\nAnswer: 73295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 53, 53, 43, 17, -31, -107?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 58*u**2 + 39525*u + 2292447. What is s(-58)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108625 and 869.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(441) + (sqrt(4) - sqrt(16))\/sqrt(2).\nAnswer: -6*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.30019179 rounded to 1 dp?\nAnswer: 19.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2646 divided by 1323.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**3 + 1355*t**4 + 380*t**4 - 11*t + 7*t - 2*t**3 - 344*t**4 in the form l*t**4 + o + i*t**2 + y*t**3 + r*t and give l.\nAnswer: 1391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from enengrellrnrlfn. Give prob of sequence fgl.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 8:17 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 16*n - 23. Suppose -58*p = -61*p + 54. Let y be m(p). Calculate the greatest common divisor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l + 8. Let p(w) = -w - 1. Calculate -14*p(z) - 2*y(z).\nAnswer: 6*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -1. Suppose -j + 3*o + 54 = 0, -3*j + 6*j - 2*o = 134. What is the greatest common factor of j and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 11 = -2*v + 80 - 44, -114*v = s + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmqqxnm. Give prob of picking 2 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1 + (22 - (-4)\/(-12)*0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 + -0.07. Let d = -0.9 - -0.98. Let q = d + f. Round q to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1107535 is divided by 531.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 189 + -70. Let s = z - 118. Suppose 4*v + 20 = 0, -3*a + a + 4*v + 30 = 0. Put s, a, 0 in decreasing order.\nAnswer: a, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 35, 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wiwiiwi?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i. Let f be w(-3). Let y be (-144)\/(-81) - 2\/f. Solve -5*o + y*a - a = 6, 0 = 4*o - 5*a - 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/26 + (-2)\/(-26)*-50. Let b be (9\/(-6))\/(-6*w\/160). Calculate the lowest common multiple of (-4 - 41)*4\/b and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**4 + 5645*l**3 + 1590765*l**2 - 5645*l - 1590770 = 0. Calculate l.\nAnswer: -587, -542, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(-2)\/(-52) - 10\/65. Solve b = 2*m - 206 + 202 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {p: 4, m: 1, u: 5, k: 3, w: 5, c: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3 = 4. Let m(g) = 4*g**2 - 3*g + 2. Let w be m(k). Find s such that 7*s**3 + s**3 + s**3 - 3*s**2 - 6*s**4 + 6*s**2 - 9*s + w = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 36. Let r be z + -6 + 6 + 137 + -1. Suppose 5*l = 4*l + r. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 178 - -631. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 + x**2 - 3*x**2. Let z(m) = 3*m**2. Let f(w) = 8*w**2. Let y(p) = 5*f(p) - 14*z(p). Determine u(y(j)).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 4, 5*n - 2*l - 31 - 2 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 12*p**2 - 11*p + 10. Calculate t(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 20 = -h, -5*h = -0*o + o + 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + o + 2*o + (-1 + 0 - 1)*(-1 - 4*o - 5*o + 0*o).\nAnswer: 19*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**2 + 114*q - 473. Let y be i(4). Solve -24*o + y - 15 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -18*(-2 + 9\/3)\/(-2). Suppose -k = 7 - f. Solve 3*d - 2 = l, k*d + 0*l + 4*l = 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16640 and 14560.\nAnswer: 116480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18 (b) -0.1 (c) -1\/8 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2810348 and 0.4.\nAnswer: -1124139.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611289881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -234, 275, 1130, 2337, 3902?\n\"Answer: w**3 + 167*w**2 + w - 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1860904 + -900896. Suppose 3*l + 4*s + 0*s = -m, -2*s - 4 = 0. What is l rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 245*o + 3. Let s(t) = -489*t - 3. Let v(h) = -5*c(h) - 2*s(h). Is v(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3892159.95 + 3.\nAnswer: 3892162.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*g - 4*z, -54*g - 5 = -55*g - 3*z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + (sqrt(192)*2)**2.\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21755 is divided by 985?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/5*(-180)\/54. What is the tens digit of (48\/(-9))\/(-3*d\/108)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.178769 rounded to four decimal places?\nAnswer: -0.1788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iilmiifiiiiifiiiifm. Give prob of sequence imfl.\nAnswer: 13\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - 4. Let z = -13 - x. Let w = z - 11. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 13, 8, 1, -8, -19?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 92*h**2 - 4470*h + 8866. Let n(t) = 27*t**2 - 1490*t + 2956. Let y(z) = 2*c(z) - 7*n(z). Factor y(r).\nAnswer: -5*(r - 296)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, s: 8, l: 5}. What is prob of picking 1 c and 1 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*t**3 + 109482*t**2 - 85619616*t + 4892192 = 0.\nAnswer: 2\/35, 1564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**4\/8 + 13*y**3\/3 + 6*y**2. What are the prime factors of v(0)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s = -30. Let f = 8 - 6. Let j(l) = 5*l**3 + l. What is the remainder when j(f) is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l + 9. Does 16 divide f(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**7\/630 - z**6\/360 + z**5\/180 + z**4\/72 + 47*z**2\/2 - 56*z. Let x(i) be the first derivative of t(i). Factor x(l).\nAnswer: -l*(l - 1)*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 7. Let b be o(0). Let f = -2 - b. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exxaxxaxxxexxxx. What is prob of sequence ex?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2175496, -2175498, -2175500, -2175502?\n\"Answer: -2*x - 2175494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**3 + 6*d**2 + 6*d + 8. Let u(c) = -5*c**3 - 5*c**2 - 5*c - 7. Let i(f) = -5*s(f) - 6*u(f). What is the derivative of i(l) wrt l?\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*x + 526*x + 28934 = 0. Sort x, -1, 4, -3, -4 in decreasing order.\nAnswer: 4, -1, -3, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5668720*n - 5668675*n = -r + 132, -3*n + 2*r = -15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(245) - (sqrt(245) + (-5*sqrt(245)*-4 - sqrt(245)) + sqrt(245)) - (1 + sqrt(245) + 5 + sqrt(245) - sqrt(245)))*-4 + -4))**2 + 4.\nAnswer: 846720*sqrt(5) + 62248324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8118136 is divided by 4059040?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 166 = -2*h, 4*z = 2*h - 0*h - 170. Suppose 0 = 4*c - h - 3. What is the highest common factor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**11\/k)**(-13))**(-16))**(-35\/4) assuming k is positive.\nAnswer: k**(-18200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2654*j**2 + 795060 - 795060.\nAnswer: 2654*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3365*n*p**2 + 8519*n*p - 250128*n + 386 wrt p?\nAnswer: 6730*n*p + 8519*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 15, -64 in decreasing order.\nAnswer: 15, 5, 1, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + (29 - 13))*2\/26. Sort 145, -4, 2, -2, t.\nAnswer: -4, -2, t, 2, 145","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.217 + -1.617. What is the nearest to 0.4 in 9, l, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25.644 + 26.044. Sort -4, i, 73, 2\/23, 5 in increasing order.\nAnswer: -4, 2\/23, i, 5, 73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -28*c + 19*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -2923 and 0.29782.\nAnswer: -2922.70218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 3, -21, 0.2, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -106*r - 527. Let k be t(-5). Which is greater: -4.1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-12) + (-16)\/(-3). Let u = 73\/12 - q. Let g = 0.9 - 5.9. Sort g, u, -2 in ascending order.\nAnswer: g, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 6. Suppose 2*f = -f + 54. Calculate the lowest common multiple of (-2)\/(-5) - (-8)\/y and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 42, 96, 150, 204?\n\"Answer: 54*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19744 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 6*x - 15. Suppose x*g + 48 = 6*g. What is the highest common divisor of g and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v - 168 = 37*v. Let x = -54 - v. Suppose x*f = -2*f + 15600000. What is f rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153567 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 13*f. Let g(a) = 7*a - 3*a - 30*a. Let t(l) = 9*l. Let b(u) = 6*g(u) + 17*t(u). Calculate z(b(w)).\nAnswer: -39*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314803*v**2 - 74 - 68 + 142.\nAnswer: -314803*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(32) + sqrt(288)).\nAnswer: sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 9:43 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-82)\/(-30) - 3 - 26\/(-39). Put -92, 0.45, y in descending order.\nAnswer: 0.45, y, -92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-18)\/6) + -3 + 3. Solve 0 = f + v, 4*f = -4*a - 24 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.45365816 rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 - j**2 - 39*j - 8. Let l(a) = -a**3 - a**2 - 19*a - 4. Let k(n) = -7*l(n) + 3*s(n). Is k(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.19 and 773600.\nAnswer: 773599.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339131852 - 1185309298 = -18*a. Let y = 126991175 - a. What is y rounded to the nearest 1000000?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*g + 22713 = -a, -2*g + 7574 = a. Suppose 2*p = -4*y - 4, 2*p - 4*y - 34 = -p. Suppose -p*f + 2*f = -a. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 287579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207 and 1224?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 1 - (-5 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 701951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 11 + 17 = 0. Let l be 2\/t + 372\/21. Suppose i + 0*y + 4*y = -l, i + 3*y = -13. Solve -3 = -5*b - 4*f, -3*b = 4*f + i + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 3, p: 5, e: 1}. What is prob of sequence pk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 338171*k**4 - 2006*k**2 - 71*k wrt k.\nAnswer: 8116104*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 288287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13317 is divided by 185.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -414 or 207936?\nAnswer: -414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 9. Let i be u(-8). Let y be (-2)\/(-13) - 148\/(-52). Suppose 0 = b + 5*d - 2*d + 12, 3*b - 4*d = 3. Sort y, b, i.\nAnswer: b, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9474*d - 21168 = -9726*d for d.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169222 = -82*t + 58574. List the prime factors of t.\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + o**2 - o + 117. Suppose 2*c - 4*c = 0. What is the remainder when f(c) is divided by 10 - ((-91)\/13 + (0 - -5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-3)\/18*440. Calculate the highest common divisor of 40 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(684) + 1)*-2*2)**2*3.\nAnswer: 14400*sqrt(19) + 822000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - a**2 + a - 1. Let x(n) = 7*n**3 - 4*n**2 + 4*n - 4. What is 4*i(s) - x(s)?\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = q + 4*i, 3*q + 17*i - 29 = 12*i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 927 - 2452 = 74*v - 567 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.09 (b) 7.8 (c) 13.5 (d) 0.5 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.04 + 0.04. Let g = 0 - h. Let q = -23.234 - -14.234. Put q, g, -5, -0.2 in decreasing order.\nAnswer: g, -0.2, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, 33, 100, 205, 354?\n\"Answer: s**3 + 10*s**2 - 2*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7))**33\/((k*k**(-19\/6)*k)\/k**12) assuming k is positive.\nAnswer: k**(-1307\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 6*m**2 + 7*m + 10. Let r be t(7). Solve 2*z + 2 - r = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/3)\/((-1435)\/1722)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - k**2)*(-3 + 6 - 5) + 1043*k**2 - 167*k**2 - 396*k**2.\nAnswer: 482*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 559 + -4 + 1 + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -3 (b) 19 (c) -2\/9 (d) 1 (e) -11\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 624*z**2 - 4*z - 2. Let i be (-6)\/(-4)*(5 + -7). Let b be y(i). Suppose b = -3*v - 3074. Round v to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiipiippip. Give prob of picking 2 p and 2 i.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 6*v - 9 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 60. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 887.7121 years to decades.\nAnswer: 88.77121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/14 and 95\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3449593 is divided by 346?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/7 - 3336*u**2\/7 - 60534*u\/7 - 273132\/7.\nAnswer: 2*(u - 1686)*(u + 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 632348*u**2 + 14*u - 13391 wrt u?\nAnswer: 1264696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 337283.97338 and 0.1022?\nAnswer: 337283.87118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 g, and 1 w when three letters picked without replacement from {q: 3, w: 4, y: 1, g: 4, t: 1}.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 580.8 - 84.8. Let w = s + -424. Which is bigger: w or -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000115 to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 179, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1342 (base 5) to base 9\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 9 = 6, 2*i + 2*h - 16 = 0. Let a = i + -7. Suppose a*v - 7 = d + 8, -2*d + 6 = v. What is the lowest common multiple of v and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**3 - 3*r**3 + 2*r**2 + 3 + 7*r - 3*r - 2*r to the form j*r + x + w*r**3 + p*r**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8376205181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q**2 - 3*q + 2. What is the hundreds digit of y(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h**2 + 4*h + 28. Let r(w) = 5*w**2. Give m(r(y)).\nAnswer: -175*y**4 + 20*y**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (1 + 1 + -9 - -2) + 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 10:31 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 530, 5, 6880.\nAnswer: 5, 530, 6880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2457\/126)\/(11\/88). What is the highest common factor of j and 15028?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382440645 to the power of 1\/2, to the nearest integer?\nAnswer: 19556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*u**3 - 232*u**3 + 114*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5148)\/48*720\/(-54). What is the highest common factor of 50 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/105)\/(-5*6\/315))\/(-2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-170.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 73527900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 6*q + 147 = 0. Let b = -16 - q. Sort -0.3, 8, b.\nAnswer: -0.3, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h**1*h)\/h))\/h*h)**2\/(h**1)**(-23))\/(h**(-3\/5)\/(h\/h**(-6))*((h\/(h*h**(4\/7)*h))\/h*h*h)\/((h*h**4)\/h)) assuming h is positive.\nAnswer: h**(1231\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 15*r**2 + 14*r - 32. Let y be s(-15). Let f be (y\/8)\/(1\/(-4)). What is the greatest common divisor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -791 - -30202. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j. Let i(y) = -y**2 + 12*y - 4. Let t(o) = i(o) - 4*p(o). Let c be t(7). Suppose 0*q**2 + 1\/3*q**c + 2\/3*q**5 - q**4 + 0*q + 0 = 0. Calculate q.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1521 (base 9) in base 11?\nAnswer: -959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-39)*((-2535)\/10)\/(-13)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**2 + 4*r**2 - 4*r**2)*(5*r - 3*r - 3*r) + (r + 0*r + 0*r)*(-68*r + 78 - 78)*(3 - r - 3) to v*r**2 + p + o*r + h*r**3 and give h.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/(53\/318). Sort 11, -3, n, -5 in decreasing order.\nAnswer: 11, n, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 609182.74 + -570002. Let x = w - 38776. Let p = -408 + x. What is p rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 23, -6, -3, -2, 3 in descending order.\nAnswer: 23, 3, -2, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5026*r - 117. Let m be 12 - (-56)\/(-32)*4. Is s(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88757\/9 - -9862. What is the second biggest value in u, 124, 1, -2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**2*k**3*v + 629*j**2*k**2*v**2 + 2*j**2 - 2*j*k**2*v - 15*k**3 - k**2 + 2*k*v**2 - 3*k*v wrt j.\nAnswer: 6*k**3*v + 1258*k**2*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 732 and 37492?\nAnswer: 6861036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -79? (a) -0.4 (b) 7 (c) -4 (d) -3 (e) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/3640 and -57\/350.\nAnswer: 18200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(-29*k + 8*k - 40*k).\nAnswer: -122*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 130369169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1620*h**2 + 3700*h**2 + 2357*h**2 to the form d*h**2 + p + w*h and give d.\nAnswer: 7677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 12*s**3\/5 + 2182*s**2\/5 - 364*s\/5 = 0.\nAnswer: -182, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-4.9.\nAnswer: -1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 16 + 13 + 15 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 315\/18*368\/5. Suppose 0 = 5*f - k + 223. Suppose -3*o - 4*m + 165 + 46 = 0, -f = -3*o - 3*m. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 486542 and 61951.\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -2*w - 668. Suppose 8*d + 4*d = 408. What is the remainder when w is divided by d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 414 and 166083?\nAnswer: 996498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 8:24 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 21834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 - 4\/(-12)*0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 8*c + 18. Let x be h(-9). Suppose -7 = -4*n + x. Solve 2 = b + n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q - 4*i + 13 = 20*q, 5*q - 35 = -5*i. Which is the closest to q? (a) 3\/22 (b) -5\/2 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11970)\/760*(-152)\/399*-9.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -17. What is the fourth biggest value in 4, -2, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1945.81 to the nearest 10.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**4\/12 + 2*p**3\/3 - p**2 - 3*p. Let y be z(3). Let h(d) = 40*d**3 - d**2 + 1. What are the prime factors of h(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 675\nAnswer: -202.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8048, -8046, -8040, -8030?\n\"Answer: 2*i**2 - 4*i - 8046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 1. Let z(j) = -2*j - 2. Suppose 25 = 5*y, -2*y = -4*s - y + 15. Let u be (6\/(-9)*(-63)\/14)\/1. Determine s*a(d) + u*z(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 4.2, 16, 9\/35 in increasing order.\nAnswer: -0.4, 9\/35, 4.2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -12822.\nAnswer: 1282.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y + 4*y**4 - 33*y**2 - 6*y + 36*y**2 + 3121 - 3117 to k*y + h*y**3 + g*y**2 + f*y**4 + o and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**2 - 3*l. Let h(y) = -2*y**2 - 2*y. Let x = 3 + 1. Let g(k) = x*h(k) - 3*v(k). Determine u so that g(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/472 and 55\/18.\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4 - 2. Let t = 0 + m. Let a be 3\/(6\/(-2))*t. Is -4 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1195, 1199, 1201, 1201, 1199?\n\"Answer: -o**2 + 7*o + 1189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122 - 114. Let t be -18*((-63)\/(-18) + d\/(-2)). Which is smaller: 13 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 432.95 - 532. Let p = g + -0.95. Let t = p + 101. Which is the nearest to t? (a) -0.4 (b) -1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -20, 14, -2\/5, 1, -6945?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 0 (c) -3 (d) 0.7 (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.037 from -117.557.\nAnswer: -117.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohu when three letters picked without replacement from ohhhuhjhj?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -7*t + 6*t. Suppose 14 = i - 5*l, i - l = l + t. Let o be (14\/21)\/(4\/i) - -6. Solve o*c + 10 - 30 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**5\/150 + 3*a**4\/5 + 37*a**3\/15 + 105*a**2 - 21*a. Let u(d) be the first derivative of j(d). What is s in u(s) = 0?\nAnswer: -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-216)*-9)\/((-2)\/30)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*u + u - 6*u)*(5 + 2 - 2)*(1 - 3 + 3).\nAnswer: 145*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 68 + 4*z + 19*z**2 + z + 133 - 63 to the form a*z**2 + g + u*z and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557 a factor of 61668099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6246547ml in litres?\nAnswer: 0.0006246547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*y = 42281886 + 3428491. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 907637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 217*j**5\/120 + 3*j**4\/8 + 5*j**3\/3 + 2. Let u(m) be the third derivative of l(m). Is u(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, n: 4, f: 3, a: 1}. What is prob of picking 2 f and 1 a?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x - 2 - 4 + 0*x - 6. Let l be n(-5). Solve 0 = -0*v + l*v - b + 8, -4 = 5*v - 4*b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 167620137?\nAnswer: -167620136.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 991284897 to the nearest integer?\nAnswer: 31485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 3*r**2 - 3*r - 3. Suppose 2*c - 4 - 6 = 0. Suppose -13*b + 18*b = c. What is the remainder when d(4) is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1462 is divided by 108.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5452 + -5268.51. Round k to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -4.98. Let t = 5.02 + g. Let w = -4.6 + t. Sort 0, 4\/5, w in increasing order.\nAnswer: 0, w, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-447)\/(-6) - 5\/10. Suppose k - j = -0*k. Suppose -5*u = -61 - k. Calculate the remainder when u is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129828 (base 16) to base 11\nAnswer: 762609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 6:58 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003688604 to 7 dps.\nAnswer: 0.0000369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.832 - 20.15. What is t rounded to 1 dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 15*d**2 + 47*d + 49. Let u be c(6). Calculate the highest common factor of 469 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -177 and -2.1.\nAnswer: 371.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2925239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15593566?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*1\/(4\/(-3)). Suppose -7 = -3*b + 2*y - 0*y, -l*b - 4*y = 5. Let q be b\/3 + (-2)\/(-3). Is q > 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/n**(6\/5))\/n)\/((n**(5\/9)\/n)\/n) assuming n is positive.\nAnswer: n**(56\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1110930 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18 - (0 + 0))*((-1157)\/(-78))\/89. Solve -4*t = -a*x - 8, x + 6 = -t + 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*b, 2*b + 2*v = b - 4. Suppose b*g = -0*g. Suppose g = 5*x + 6 + 9. Is -2 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 17. Let n = -9 + x. Suppose -2*o + n = -2. Solve 0 = -o*b - b - 5*m, 4*b - 2*m - 6 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u. Let h be a(5). Suppose h*j - 106 = 29. Suppose 3*d + s = 40, 4*d = 4*s - 12 + 92. What is the remainder when j is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 25*r + 106*r**3 + 9*r + 3*r + 13*r.\nAnswer: 106*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245)*2*1 - (4 + sqrt(180) + -5 + sqrt(180))**2.\nAnswer: -721 + 38*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1228615328.\nAnswer: 2, 541, 70969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 34.12. Let d = -0.209 - b. Let a = -0.0889904 - d. What is a rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 12. Let x = 7 + t. Which is smaller: x or -2\/147?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -426.4 - -425.917. What is the second biggest value in i, 0.5, 0.1, 2\/7, -6\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -2. Let y = 59 + -292\/5. Which is the second smallest value? (a) n (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 78*u**2. Let y(w) = -39*w**2 + w + 19. Determine y(s(i)).\nAnswer: -237276*i**4 + 78*i**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.302 - -0.202. What is the second smallest value in 1\/9, z, -0.09, 4\/7?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 8. Suppose l = z*l - 12. Let x(n) = -n**3 - 7*n**2 + 252*n + 1312. Let i be x(-5). Solve 12 = k - 2*k - 5*a, -5*k = -l*a + i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y + 4*y)*(-1 + 2*y**2 + 1) - 38*y + 38*y + 27*y**3.\nAnswer: 29*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*n - 9*n + 5*n)*(-2*n + n + 2*n) + 0 + 2*n**2 + 0*n**2 + 1 in the form l + o*n**2 + d*n and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2989 - 3563 = -18*y. Calculate the greatest common divisor of y and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 12*g - 11*g - 10998, -5490 = -2*f - 5*g. What are the prime factors of f?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + 16. Calculate the remainder when r(-9) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -311\/120 - 3\/40. Let f be (-2)\/3 + 4\/6. Suppose f*d = d + 4. Is d smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 79*g + 1050. Calculate c(84).\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-45))\/(((-39 + 21)\/180)\/((-8)\/(-20)))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6) - 14\/3. Calculate the common denominator of (-508)\/12*(-1)\/w and 6\/(-4)*380\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 4*r**2 - r + 4. Let y be h(4). Suppose -a + y*a + 8 = 0. What is the remainder when 30 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9*h**3 + h**2 + h - 2. Calculate p(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 20640*y**3 + 98 + 2*y - 20639*y**3 + 2*y**4 - 4*y**2 + 5*y**2 as u*y + c*y**3 + f + n*y**2 + h*y**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g + 16. Let c(m) = 2*m - 5. Calculate -16*c(k) - 5*y(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83641\/17 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 5. Let v be f(4). Let h be 1\/(-2) + v\/(-6). Suppose -2*l - 8 = -g, 4*l + 3*g = -0*l + 4. Which is the closest to h? (a) 2 (b) l (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 11 - (-32)\/(-24)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 51*k**2 + 21*k - 83. Let g(n) = -103*n**2 - 41*n + 168. Let d(u) = -6*g(u) - 11*m(u). Is d(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdx when three letters picked without replacement from {z: 2, c: 3, x: 4, d: 2, o: 1, p: 2}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 6329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*v = -0*d - 20, -5 = 4*d + v. Let o be (0 + d)*3\/6. Suppose o = 2*w - w - j - 18, -w = 3*j - 6. What is the highest common divisor of w and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31.7 + -31.69999591. Round h to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3 - 1 - 245\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 23. Let g = z + 20. Let i = -24.945 + g. What is i rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -b + 130. Suppose -2*a + 4*a = b. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 14 + 11, 0 = -3*m - 3*l - 3. Suppose -d - 85 = -p + m*d, -2*p + 192 = d. What is the smallest common multiple of p and 5?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.1 + -417.9. Let r = -434 - p. Which is the biggest value? (a) 0 (b) -0.2 (c) r (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*l - 2*n + 17, -5*l = 2*n - 39. Suppose 3*p + l = -8. Let h = 8 - p. Calculate the remainder when 37 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 - -6. Let g(p) = 2*p**2 + 7*p - 9. Let l(a) = -a**2 - a - 1. Let w(s) = -g(s) - l(s). Let d be w(-6). What is the highest common factor of d and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 10*x**2 - 2*x - 11. Suppose 18*q + 111 = -15. List the prime factors of n(q).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2190408998.50357451981 - 370537.80357350981. Let f = w + -2190038634.7. Let l = f - -174. Round l to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.7 + 22.26. Let m = r - 5.56. What is the nearest to 0.1 in m, -2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lntllllnncnnnltlcnl. Give prob of picking 3 n and 1 t.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21946 is divided by 99.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4840 = -122*l + 130*l. List the prime factors of l.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.11000638 + 0.11. What is g rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, q: 4, v: 5, c: 7, h: 1, p: 1}. What is prob of picking 2 v, 1 c, and 1 h?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:07 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6029, -9532, -13033, -16532, -20029?\nAnswer: -23524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.16?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34302 is divided by 76.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 172 - 4?\nAnswer: 16c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 841028, 133, -4 in descending order.\nAnswer: 841028, 133, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d**3 + 10*d**2 + 6*d - 6. Let j(l) = 7*l**3 + 13*l**2 + 7*l - 8. What is 4*j(u) - 5*q(u)?\nAnswer: -7*u**3 + 2*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from vvvgggvggvgv.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 988022, 987955, 987888, 987821, 987754, 987687?\n\"Answer: -67*w + 988089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186854578.\nAnswer: 2, 4673, 19993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/27 and -25\/3830424.\nAnswer: 34473816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 10*d - 8. Determine g(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.493057864 to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**4\/2 - 7275*q**3\/2 - 21885*q**2 - 43810*q - 29220 = 0?\nAnswer: -2, 1461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 35 - 24*3555\/2160\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 24 + 0*q**3 + 12*q**2 + 5 - 14*q. Let t be 1242\/(-1035) - (-118)\/(-10). Determine s(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 2, f: 1, m: 9, j: 5}. What is prob of picking 1 h and 1 j?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/6 + o**3\/3 + 115*o**2\/6 - 88*o\/3 - 480.\nAnswer: -(o - 8)**2*(o + 5)*(o + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 2, 196, 4 in descending order.\nAnswer: 196, 4, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 822*t**2 - t - 515 wrt t?\nAnswer: 1644*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 367465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/3, -3, -0.5.\nAnswer: -3, -0.5, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-288)\/(-180)*735\/6. Solve -202*a + f*a - 30 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cd7 + -18c?\nAnswer: -1085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*f + 36. What are the prime factors of ((-3381)\/(-5))\/3 + f\/90?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/3 + 674150*z**2\/3 + 56592418414*z\/3 - 36668183378966\/3.\nAnswer: 2*(z - 643)*(z + 168859)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**2 + 0 + 0*p**3 + 1\/20*p**5 - p + 2\/3*p**4. Is 2 a factor of n(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-205)\/(-2))\/(-1)*(-57)\/(13110\/92).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 864228226?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -24, 3\/2.\nAnswer: -24, -10, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -80*r + 175*r - 91*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 678280721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 + 4 + (-7)\/(105\/95)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 626.8058l?\nAnswer: 626805.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1491 (c) -0.08 (d) 2\/19 (e) 0.5 (f) 6\/7 (g) 1\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 319\/9. What is the second biggest value in t, 2\/7, 1, -6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57063524*n**3 - 64925181*n**2 wrt n.\nAnswer: -342381144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/720 and 19\/1872.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/5 - 502*q**4\/5 - 2962*q**3\/5 - 5402*q**2\/5 - 588*q = 0. What is q?\nAnswer: -245, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186505, -373009, -559513?\nAnswer: -746017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 13*r**2.\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0182 and -0.1.\nAnswer: -0.00182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 14*m**2 + 17*m - 77. Let x be y(13). Let f = -54 + -5. Let q = x - f. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 2, 2563 in ascending order.\nAnswer: 0, 2, 3, 2563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**(-7)\/b*b)\/b**(2\/29))\/(b\/b**(3\/2)*b)**20)**(-43) assuming b is positive.\nAnswer: b**(18791\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 13) to base 14\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 587 - 584. Let b(a) be the third derivative of 1\/24*a**4 + 0*a + 0*a**l + 0 + 18*a**2. Calculate b(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -7*q - 5*g + 112, g = -4*q + 77. Solve -12*t = 29 + q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-70)*(-8720)\/(-9592)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 61563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from ddqdslladss.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*l, -z = -4*z - 4*l + 4. Let q = 6\/217 - 11\/651. Let d = q + 463\/186. Is d >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 - 225*c**2 + 225*c**2 + 5 + 2*c**3 + c**2 - c**2 + 5*c**2 + 2*c**3 - 5*c**2 + (2*c - 2*c**2 - 2*c)*(c - c - 2*c) + 2*c**3 + 2*c**3 - 3*c**3.\nAnswer: 7*c**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 1. Let o(c) = -c**2 - 2*c + 4. Let z(d) = o(d) - y(d). Give z(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*h + 8 = -0*h, -5*k + 31 = 4*h. Which is the third smallest value? (a) 2\/7 (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -5\/4, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + -55. Sort -2, 2, l in decreasing order.\nAnswer: 2, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127502316 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + k**2 - 2*k. Let a(p) = p**3 - p**2 + 1. Give -2*a(q) + d(q).\nAnswer: -q**3 + 3*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -554108, -555772, -557436, -559100?\n\"Answer: -1664*l - 552444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -46 - 0.026\nAnswer: -46.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by 57.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 - 5*s**2 - 2*s - 2. What is the tens digit of u(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-9))\/((-1)\/3). Suppose -5*z - m + 234 = -129, z - 60 = r*m. Is 24 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 3*u**2 - u + 4. Let o be y(3). Suppose 124 = 3*b - z, -1073*b - 5*z - 48 = -1075*b. Is o not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2. Suppose -5*f = 4*u - 23, 2*u + 3*f = -f + 16. Let a(d) = -6*d**2 - 2*d**2 + 7*d**u. Give y(a(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**3\/6 - 2*t**2 - 66*t. Suppose 0 = 5*v - z - 7 - 2, 0 = v - 2*z. Let q(n) = -3 + 0 + v. Determine c(g) - 6*q(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 45 - a547?\nAnswer: -a502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6 - 3 = -5*s, -3 = -s + 3*f. Let y(c) = c + 4 + 3 + s*c - 8. Let t be -3 + 3 + 15 + -8. Give y(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -7, 37 in descending order.\nAnswer: 37, 6, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1530013 (base 6) to base 13.\nAnswer: -31926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 288.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3)\/(z*z\/z**(1\/6)))**(-34) assuming z is positive.\nAnswer: z**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2. Let b(s) = -s - 1. Let i(v) = 6*v + 5. Let o(y) = -6*b(y) - 2*i(y). Give o(d(z)).\nAnswer: -6*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 13 + -26 + 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/9)\/f**4)\/(f**(-1\/3))**36)**(-41) assuming f is positive.\nAnswer: f**(-2870\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 104163 (base 10) in base 2?\nAnswer: 11001011011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.10284 - 0.104. Round l to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 0. Let i = 0.2 + -0.1. Let x = 9040 + -9039.8. Put b, i, x, 1\/6 in increasing order.\nAnswer: b, i, 1\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31622508329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/8 + 1885*q\/8 + 32927 = 0. What is q?\nAnswer: -1733, -152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 403.4 and 251652.\nAnswer: 101516416.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 4892 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-3))\/((-1)\/(-9)). Let w(n) = -o*n + 20*n**2 + 2*n - 13*n + 3 + 2. Let t(g) = 7*g**2 - 6*g + 2. Let f(j) = 17*t(j) - 6*w(j). Factor f(i).\nAnswer: -(i - 2)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.72 take away 12.1795?\nAnswer: -13.8995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/13 + 4812404\/2444. Let o = i - 1969. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + 0\/(-2) - 1. Let w be (2 + -2)*2\/4. Suppose 2*l - 3 = 5, -2*l + 14 = 2*y. Solve 4*i - n*z - 7 - 7 = w, -i = -y*z - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -34*m**3 - 1188*m**2 + 2*m - 2386. Determine s(-35).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**3 - 2040*w**2 + 260100*w - 9826000 = 0.\nAnswer: 68, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 1. Let g(l) be the third derivative of -l**4\/24 + l**3\/6 + l**2. What are the prime factors of g(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -4\/815 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/7 and 70\/1209?\nAnswer: 8463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + -2 - -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 2*t**2 + 1. Let u(h) = -2*h**3 + 9*h**2 - 3*h + 9. Let k(x) = 3*f(x) - u(x). Determine k(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 532*s - 7961. Let i be k(15). Solve -w = -4*u - 6*w + i, -u + 4 = w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55 - 55*x - 76 + 1497*x**2 + 1696*x**2 + 1375*x**2 + 53 wrt x?\nAnswer: 9136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 5) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v = -42*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.55 - 1.15. Which is the second smallest value? (a) 5\/3 (b) 2\/7 (c) o (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 231672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 737924*k + 22165. Let d(a) = 333*a + 10. Calculate -13299*d(n) + 6*r(n).\nAnswer: -1023*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*m = 452 + 230, 5*m - 359 = -2*p. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 6:30 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 2402*x + 2404.\nAnswer: -2*(x - 1)*(x + 1202)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 6*w**2 - 7*w - 16. Let m = -12082 - -12077. Give v(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**6\/240 - h**5\/20 + 3*h**4\/16 - h**3\/3 + 2*h**2 - 15. Factor n(u).\nAnswer: (u - 4)*(u - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 4*k + 9. Let m be p(7). Let q = 13 + m. Let l = 3 - 3.5. Which is the third smallest value? (a) l (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*n - 167 + 9*n + 10*n - 9*n - 68*n to the form y + c*n and give y.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 = -3*u - 2*s, 4*u + 2*s = 2. Let x(n) = 2*n**2 - 2*n + 4. Let g be x(u). Let m(b) = 8*b**2 - b**3 - 6*b + 6*b - 6. Calculate m(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/29 + 35\/87. Let s = -86 - -86.096. Let u = -3.904 - s. Which is the closest to 1\/2? (a) z (b) 1\/6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*2 + 2\/2. Let y(u) = -7*u + 3 - 6 + z*u. Suppose 2*w = -2*w - 8. What is y(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -6 - 9*r + 1\/3*r**3 + 0*r**2. Determine k(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -618 (base 11) to base 12\nAnswer: -521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19655673 and 58967019?\nAnswer: 58967019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -118*m + 117*m + 31 - 6. Calculate the remainder when 1947 is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41237 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 5. Let a(q) be the first derivative of -q**3\/3 - 5*q**2 - 7*q - 10. Let y be a(-3). Calculate the remainder when b(y) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*j - 3624 + 951 = -10*j + 2657 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {g: 3, w: 4, i: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g - 4. Let x be l(-2). Suppose -13 = -x*k + 7. What is the lowest common multiple of 2 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 427, 875, 1323, 1771, 2219?\n\"Answer: 448*m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 0. Let f = 37.33341 - 37.33341. Let v = 2 + 2. Sort v, u, f in descending order.\nAnswer: u, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3*u)\/(u**(-2)*u*u)*u**7*u\/(u\/(u*u**(2\/19)*u)) assuming u is positive.\nAnswer: u**(249\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 73 - 41. Suppose -w*c + 27*c - 2744 = 0. What is the greatest common factor of 49 and c?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 151 = -11. Suppose 4*b - t = -b. Suppose -b = -s - 0*s. Solve -3*w - s = -19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 17\/(765\/36)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.44 + -0.04. Let o = 1\/179 - -707\/1611. What is the nearest to -0.1 in o, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1008 and 52304?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one tenth of a microsecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 + 0*t**3 + 3*t**3 + 7*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**2 - q**2 + q**2 - q**2 - 2*q**2 + q**2 + (-2 + 2 + 2)*(-2*q**2 + 3*q**2 - 3*q**2) to c*q + z*q**2 + d and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 10:18 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.046 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 4*l + 829, 3*t + 5*l = -2*t + 865. Suppose 5*r - t = -4*a + 1044, a - 2*r = 313. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from byevvbvqqevqqkv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 41610?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h + 82 - 82. Let q(v) = -3*v**2. Give q(t(c)).\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 31*k**2 + 12*k - 42. Let v be n(-25). Suppose v = 64*l - 40*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 9*w**2 - 23*w - 30. Let o be x(-7). Let j be -6*(-7)\/2 + 1. What is the highest common factor of j and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 4*n + 1 + 4*n**3 + 5*n - 8*n**3. Let j be s(-1). What is the units digit of (1*4)\/(j\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + b - 1. Let p(m) = -4*m**2 - 2*m + 2. Suppose -1 - 1 = -5*u + f, -1 = 5*u - 2*f. What is u*p(l) + 2*v(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1136 and 1653328.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -200200100212010 (base 3) in base 8?\nAnswer: -45675371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, h: 3, s: 1, i: 1}. Give prob of sequence hh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + ((-1 + (sqrt(405) + 0 + sqrt(405) - sqrt(405)))**2 - sqrt(405) - ((-1 + sqrt(405) - sqrt(405) - sqrt(405)) + 3)**2)*1).\nAnswer: -8 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + 32. Suppose y = 5*o - 113. Let b be (-171)\/o + 4\/22. Do b and -5 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14390 + 14359. Sort s, 0, 4, 5, 8.\nAnswer: s, 0, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*g - 82, -2*m + 3*g + 70 = -0*m. Let y = m + -35. Suppose o = -y*i + 154, -5*i + 45 = -5*o - 245. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1743 by -5.\nAnswer: -1743\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3489822?\nAnswer: 2, 3, 7, 27697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-13 + 16 + -1 + 6).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y - 8. Let w(l) = 1. What is -4*n(d) - 36*w(d)?\nAnswer: -8*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 42 = -4*i, 3*i + h - 26 - 4 = 0. Let j(m) = -27*m**3 - m - 1. Let a be j(-1). Let g = a - i. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3302, 10444, 21432, 36266, 54946, 77472, 103844?\nAnswer: 134062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*b + 23646 = 0, b - 894 - 3840 = -o. Let v = -1988 + o. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(7\/4))**(-2))**(-47) assuming r is positive.\nAnswer: r**(329\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*o**2 + 2*o**2 + 10*o**2.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21801 - -22254. What is the least common multiple of 27 and s?\nAnswer: 4077","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**3 - g**2 - 2*g + 1. Give d(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 518*o - 63 wrt o?\nAnswer: 518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + 0 + sqrt(180) + 4 + (-5*(-2 + sqrt(180)) - sqrt(180)).\nAnswer: -24*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19265 (base 10) to base 11.\nAnswer: 13524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111001100001100110 (base 2) to base 13.\nAnswer: 145749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2463, -120, 5\/28?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 224 and 64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120 - 1221202?\nAnswer: -2001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 - 7*w**2 + 0 + 0.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2481157 (base 10) to base 9.\nAnswer: -4601451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 2, -105, 304.\nAnswer: -105, -3, -2, 2, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxzq. What is prob of sequence xz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 8:56 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {r: 1, j: 2, v: 1, e: 3, m: 3, f: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/153*-6*(86\/(-52) + 2\/13).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 3*n**5\/20 + n**4\/12 + 2*n**3\/3 - 3*n**2\/2 + 2*n. What is the common denominator of s(2) and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1209.60369 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -92029 (base 11) in base 6?\nAnswer: -2514302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 39f - -4?\nAnswer: 3a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - 44b?\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 2 (c) -11287 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/13 (b) 5 (c) 0.9245 (d) 4 (e) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -540386 + 252*z**3 + 540386 + 16*z**2.\nAnswer: 4*z**2*(63*z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 0*b - 1\/6*b**2 + 1\/9*b**3 - 11. Find v such that h(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d. Let n(j) = -161*j. Let c(g) = -10*g. Let x(k) = 63*c(k) - 4*n(k). What is x(v(i))?\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/9 of a hour in seconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -17*a + 124. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 245*n + 1. Suppose -3*k + 13 = 4*c, 2 = -2*c + 2*k - 2. Let v be t(c). Suppose 4*s - 62 = v. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 3*n - 4*n + (-2 + 4 + 0)*(n + 0*n + n) + 2 + 2*n - 2)*(0*n - 4*n + 0*n)*(-46 - 34 + 20)*(2 - 21 + 0).\nAnswer: -36480*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/5, -6, -0.5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 6*s - 903. Is 44 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2281 + 0.776507\nAnswer: 1.004607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26279005 rounded to three dps?\nAnswer: 0.263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m + 58*m - 16 + 896 = 0 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20436164*-5.\nAnswer: 102180820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 2*v + 5*v)*(-5*v + 11*v + 9*v) + 4*v**2 - 3*v**2 + 3*v**2 + (-v - 2*v + v)*(-3*v - 2*v + 6*v).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/3)\/(4\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -355*m**4 + 15*m + 19?\nAnswer: -4260*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3261339180.00000142 - 3261339087. Let i = -0.22 - -93.22. Let v = j - i. What is v rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(6)*-3)*3.\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1019861 (base 11) to base 13\nAnswer: 4acc33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 119176000 rounded to the nearest 1000000?\nAnswer: 119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9180268733.\nAnswer: 9180268733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-18)*(-10)\/3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 2:12 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15714455 (base 8) to base 15.\nAnswer: -4be92d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-seven quarters of a minute?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 2923*m**2 - m - 1285. Determine j(0).\nAnswer: -1285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + ((0 - 0) + 4 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22928, 45842, 68746, 91640?\nAnswer: 114524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.674 and 1361.088332.\nAnswer: 1365.762332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 78 = -3*v, 3*v - 246 - 293 = -3*s - 503 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.017 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/6 + -2)*2. Let q be 10\/(-6)*12\/(-70). Let y(h) = h - 10. Let s be y(6). Put s, q, a in descending order.\nAnswer: q, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s + 4*u + 48, 4*s - u = 45. Let p(h) = -6 - 15 + 5*h - 12 + 7 + h. Does 23 divide p(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 1. Is -0.2 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((28*3\/6)\/(-1))\/1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**4\/4 - 5*p**3\/2 - 36*p**2 + 139*p. Factor l(a).\nAnswer: 3*(a - 8)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -9*i + 4*i, 0 = -3*c - 2*i + 10. Let v = -8 + 14. What is the highest common factor of v and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 53 = -89 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 24*k - 36. Calculate the remainder when 451 is divided by l(-28).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 127 and 21463.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28\/15)\/14 - 56\/(-30). Does 3 divide 37 + 0\/f + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 519666 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47507 or 47500?\nAnswer: 47507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-15))\/((-2)\/20). Suppose n*r = 20, -4*z - 2*r + 312 = -6*r. What is z rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c - 5178*c**2 + 5179*c**2 - 163*c in the form t*c**2 + i + l*c and give l.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 0 = k - 5 + 4, 5*k + 1228 = -29*b for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, 4, -1, -6565 in descending order.\nAnswer: 4, -1, -3, -9, -6565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1 = 3*r, -g = g - 4*r + 12. Let l be (2\/g)\/((-1)\/8). Let x = 0 + 1. Solve s + l = x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3 + 2*p + 1 + p + 4*p. Let t(k) = 8*k + 3. Let z(i) = -5*t(i) + 6*v(i). Let c be z(3). Calculate the greatest common factor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 146?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -391*b + 400*b - 270. What is the greatest common factor of b and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.022604 + -1389806872\nAnswer: -1389806871.977396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3627 and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 7:54 PM?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*k**3 + 2*k**2 + 18513698*k - 617036458 wrt k.\nAnswer: 27*k**2 + 4*k + 18513698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**2 + z - 2. Let v be g(-2). Suppose 4*a + v = -t, 0*t - 2*t - 2*a = 2. Sort -7, t, -3 in ascending order.\nAnswer: -7, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 59*s + 43*s + 25*s + 7*s**3 - 127*s.\nAnswer: 7*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -29, 1, -39171 in ascending order.\nAnswer: -39171, -31, -29, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*j - 7. Let s be (-26)\/j - 6\/(-21). Let b = 21 - 15. Solve 3*h + 2*t = -10, -s*h + t - b = -0*t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 45*u**2 + 31*u + 695. Give s(46).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 396507512 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7\/((-14)\/(-3)))\/(-1))\/((-3)\/18).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56277492.\nAnswer: 2, 3, 773, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 3*z**2 - 2*z**2)*(-4*z + 2*z**3 + 4*z) + 3*z**5 - z**5 + z**5 + 7*z**5 - 4*z**5 + 5*z**5.\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c36 (base 13) to base 9.\nAnswer: -5764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from fddfdfdddfdfd.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60*a - 40*a - 14*a + 2 + (1 + 2 - 1)*(-4*a + 4*a + 2*a))*(72*a - 29*a**3 - 72*a) to the form i*a**3 + y*a**4 + t + k*a**2 + g*a and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3. Which is the nearest to r? (a) -1 (b) -1\/3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2\/3 - 375385*q\/3 - 2251770.\nAnswer: -5*(q + 18)*(q + 75059)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*o, 2*w + 3*o - 6*o - 99 = 0. Let i = -5 - -8. Calculate the remainder when w is divided by ((-2)\/i)\/((-4)\/78).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 0.0782?\nAnswer: 0.9218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -5249, -2, 285 in increasing order.\nAnswer: -5249, -5, -2, 4, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59365, 237523, 534465, 950191?\nAnswer: 1484701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41.124 - -41. Let k = b + 0.12400163. What is k rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, -22, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 17*a - 1. Let i(g) = -1698*g - 2. Determine -2*i(b) + 2*o(b).\nAnswer: 3430*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -985743 by 36509.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-45) - (-3)\/15. Solve 0 = -5*d - s - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 533*n. Let r(x) = x - 146 + 77 + 69. Give r(l(d)).\nAnswer: 533*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 3:28 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + 36. Does 24 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, v: 5, w: 6, z: 3, s: 1}. Give prob of sequence vizs.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 - -17130253.\nAnswer: 17130220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1128870 to the nearest one thousand.\nAnswer: 1129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -19.1*-5\nAnswer: 95.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*m + 6. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65773 divided by 1\nAnswer: 65773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 1.8. Suppose -2*z - z = 3. Let u be (0 + z)\/((-11)\/(-2)). What is the biggest value in u, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 13) + -12 - -17?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 14 = -4*f, 3*f + 3*n + 3 = -3. Let g(v) = -v + 1. Let i be g(f). Suppose i*j + 34 = 150. Calculate the remainder when j is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 2, -2, 1 in increasing order.\nAnswer: -2, 1, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 400 divide 37636026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 178560*z**2 + 178574*z + 1071372.\nAnswer: -2*(z - 3)*(z + 2)*(z + 89281)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 1 + 4 - x**2 + (-2*x + 6*x + 0*x)*(0*x - 3*x + 2*x).\nAnswer: -5*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14586 - 13949 - 18105 = 2332*x for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61.9 - -62. Which is the fourth smallest value? (a) i (b) 1\/8 (c) 2\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1845 and 65805?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.26 and -0.007.\nAnswer: 0.00882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/42 and 89\/45.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nka when three letters picked without replacement from kan?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-9\/5)\/p)**(1\/30)\/(p**(-1\/14)*p**(-31)) assuming p is positive.\nAnswer: p**(5427\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 4.41?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*s - 4 = 0, -i + 0 = -5*s + 5. Suppose -i*m - 32 = -2*c, 2*m - 8 = -2*c + m. Let d be ((-18)\/24)\/(c\/(-40)). Solve -2*j = -d*j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.28 + -0.02. Let x = 0.01 + n. Let j = 0.17 - x. Are 5\/4 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4\/7, 0, 95\/6, -0.025?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*a + 68*a + 10 = 0. What is the closest to a in -0.3, 0.6, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120021220 (base 3) in base 9?\nAnswer: 16256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8064 divided by -1152?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1\/3, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13\/16 + 181\/112. Calculate the common denominator of 13\/15 and p.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (9 - 4) - ((1 - 7) + -4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrggg. What is prob of sequence ggg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 38, 55, 72, 89, 106?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388 = 58*c - 40 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30137.039 + -134.461. Round q to the nearest 100.\nAnswer: -30300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/121 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00052946 rounded to 5 decimal places?\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 14. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/10)\/((-746570)\/(-169675)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 12*k - 15. Let q be w(10). Suppose 3*t - 7*t - 3*g + 29 = 0, q*t + g - 28 = 0. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5 - (11 - 11)) + 7 - 17) + -14.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 299703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o + 0*o**2 - 3*o + 2*o**2 + 1 + 4. Is g(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 46 - (-12 - (-11 + 3)) - (-160 + 159)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 333, 1190, 3531, 8100, 15641, 26898, 42615, 63536?\n\"Answer: 124*x**3 - 2*x**2 - 5*x + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21618 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93 + 109. Solve -3*j + j = 4*v + 16, 0 = 2*v - 3*j + d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.89 - 549.89. Let u = 549.3 + r. Which is the closest to 9? (a) -2 (b) u (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/2130 and -119\/100.\nAnswer: 21300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*y - 26497 = 0, -12*g + 6*g + 53009 = 5*y. List the prime factors of g.\nAnswer: 2, 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (-10 + 20)) + -2 + 4 + 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4772627*r - 5578240?\nAnswer: 4772627","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -22*q**5 - 512*q**4 - 25442*q**3\/11 - 46620*q**2\/11 - 38232*q\/11 - 11664\/11 = 0.\nAnswer: -18, -18\/11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1072, -6751, -22164, -52177, -101656?\n\"Answer: -811*a**3 - a**2 + a - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-363)*0)\/(-14*(-9)\/((-126)\/(-4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*t - 4*y, -3*t + 2*y + 4 = 16. Is 9 a factor of t\/(-6) + 64\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-18)*(-9)\/6. Let y = 788\/205 + -174\/41. Which is the closest to u? (a) -2\/11 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 at most as big as -54371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 833935?\nAnswer: 5, 17, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-6 - 0) - -19) + -8 + 15.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/3))**10*(k**(-2\/9))**(2\/11) assuming k is positive.\nAnswer: k**(1646\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -7, 1, -2\/5, 3\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 10 = -d. Is 1 - (d + (2 - 640)) a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6957388 to the nearest integer?\nAnswer: 2638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(85)\/(2*sqrt(5)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55490.2023 - -15?\nAnswer: 55505.2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(18\/28) + (-4)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/1)\/((-969)\/(-38)). What is the closest to -9 in -5, -0.1, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 674790.2 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 113 - (1 + -1 + 5). Let f be 0 - 4 - (-1659729)\/g. Let n = 15367 - f. What is the common denominator of -1\/3 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**5 - 60*l**4 + 2060*l**3 - 18760*l**2 + 66150*l - 72716 = 0.\nAnswer: -53, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*o + 5. Let f(m) be the second derivative of -m**4\/6 + 11*m**3\/6 - m**2 + 4*m. Let d be f(5). Sort -1, o, d.\nAnswer: -1, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11705884 to the power of 1\/2, to the nearest integer?\nAnswer: 3421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71.75 - 72. Let g = -10.75 + -29. Let a = g - n. What is a rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -4. Suppose 4*j - 4*n = -r*n - 1, n = 5. Calculate the least common multiple of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -4057123.3?\nAnswer: 4057123.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7231\/3267771 - 4\/3643. Let c = 4487\/1794 - x. Find v, given that -15*v**2 + 10*v**4 - 5\/2*v**5 + 0 - c*v**3 + 0*v = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*-1*sqrt(11) + -2 + 3 + (1 + sqrt(11))**2 + 2.\nAnswer: -3*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2439\/(-542))\/(4*-6).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000970757429 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-6*(sqrt(187)*-2 - sqrt(187)))\/(sqrt(55)\/(sqrt(180)*1)))**2.\nAnswer: 198288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*i**4 - 2*i**2 + 3*i wrt i.\nAnswer: 180*i**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2160, -4293, -6436, -8595, -10776, -12985?\nAnswer: -15228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s - 8. Let q = 61 + -44. Suppose -16*d + q*d = 10. Is 9 a factor of v(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 51*z + 200. What is the remainder when (3 + -49)\/(-2 - 0) is divided by p(47)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = t + 2*j, t + 3 = -4*j. Let s = 0.05 - 2.05. Sort -0.4, s, t in decreasing order.\nAnswer: -0.4, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -457.1892341 rounded to the nearest integer?\nAnswer: -457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((((i*i**(-11\/6))\/i)\/i)\/i))**(-10\/9)\/(i**(-18)*i**(-2\/59)))**(-41) assuming i is positive.\nAnswer: i**(-827093\/1593)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/5 - 84*t\/5 + 588\/5.\nAnswer: 3*(t - 14)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-422.\nAnswer: 126.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvqytqtkyttkyqttwtqy. What is prob of sequence yqkw?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 21*k**2 + k - 17. Let r be c(21). Factor -572*x - 37*x**3 - 64*x**2 - 7*x**r - 6 + 537*x + 5*x**2.\nAnswer: -(x + 1)**2*(x + 3)*(7*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -17 + 42 - 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 49 (base 16) to base 8\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1136*z**2 - 94*z + 1 wrt z?\nAnswer: -2272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/15, 6627357, 2.\nAnswer: -4\/15, 2, 6627357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g = -3. Suppose g*p = -n - 1 + 33, p + 5*n - 20 = 0. Calculate the greatest common divisor of p and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24*(0 - -1)*(-2 + 0). Let c = u + 51. Let b(n) = n + 1. Let y(x) = -2*x**2 - x. Let f be y(-1). Let i(v) = 1. Calculate c*i(p) + f*b(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - 46*y + 276. Let v be m(11). Solve 9*n + 6 = v*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 288 + -204. Suppose -4*f + 3*m + a = -114, 0 = 3*f + m - 155. What are the prime factors of f?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-16) - (-13)\/2. Let j(p) = -p**3 + 8*p**2 - 8*p + 6. Let g be j(r). Put g, 4, 0, -2 in ascending order.\nAnswer: -2, g, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1156 divided by -1875\nAnswer: 1156\/1875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95.07 - -96. Let h = 1488733 + -1488733.9300081. Let r = h + k. Round r to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 137*z**3 + 3*z + 2*z**4 - 136*z**3 - 19 - 2*z to the form i*z**2 + l*z + c*z**4 + t*z**3 + p and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 - 36*t**2 + 246*t - 1846. Calculate k(14).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 4450149?\nAnswer: 35601192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 1357.952.\nAnswer: -135.7952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11592 divided by 252\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**6\/120 + l**5\/60 + 2*l**3\/3 - l**2. Let f be n(0). Suppose 0 = t - 5 - f. Solve 4*x - t = -1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + b**2 - b + 8. Let f be z(0). Suppose 8 = -a - 3*p, -1 = -a - 2*p - 5. Let n be -1 + (-6 - -3) + 4. Solve -a*l + n = f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 - (-2 - -2 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98137 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -0.5, -7 in increasing order.\nAnswer: -7, -0.5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 351*b**2 + 65*b + 65. Let j(r) = -16*r**2 - 3*r - 3. Let k = -14982 - -14979. Determine k*m(w) - 65*j(w).\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 489415913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 25*i + 50. What is b(16)?\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-7)*1078\/231?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 22. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -7*c + 10. Suppose 3*w = 2*j + c*w - 5865, -3*w = j - 2922. Suppose -2*q = 5*o + 2*q - j, o - 4*q - 567 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2228 divided by -27.\nAnswer: 2228\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jc when two letters picked without replacement from ijcur?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 9:06 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65575357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 10, 0 = -3*d - o - 0*o + 13. Let w be 26\/10 + (-3)\/d. Let y(s) = 0*s**2 - w - 4*s**2 + 2. Let l(c) = 2*c**2. Determine y(l(p)).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35517, -71030, -106543?\nAnswer: -142056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and -64395.\nAnswer: 3863.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**4\/4 + 8*h**3\/3 - 3*h**2 - 2*h - 56. Suppose -4*q = -2*l + q - 11, -2*l - q + 19 = 0. Calculate z(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 (base 6) in base 9?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + sqrt(1100) + -1 - (-1 + sqrt(1100))*1) + -5 + 5)*3)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-1 - 6\/(-7)). Suppose -2*z + 149 - 13 = 4*v, 0 = -z + 4. Let y = v + x. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 745663875 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z + 8. Suppose -4*p + 5*j + 42 = 0, 2*j + j - 6 = 0. What is the units digit of n(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(66) - sqrt(66)*-1*6)\/(sqrt(12)\/(sqrt(4)\/sqrt(2))) - (4*-5*(sqrt(704) + 0)*-3)**2.\nAnswer: -2534400 - 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-9))\/((-14)\/(-6)). Is 1 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699 a factor of 1213464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 92434354 to the power of 1\/2, to the nearest integer?\nAnswer: 9614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 1082.\nAnswer: 8656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 24*k - 21*k - 828, 0 = o - 4. List the prime factors of k.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000021126 rounded to seven dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x + x + x. Let t(p) be the first derivative of p**3\/6 + p - 2. Let j(s) be the first derivative of t(s). What is j(o(g))?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -128*x**2. Let h(d) = 43*d - 3. What is h(z(q))?\nAnswer: -5504*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62 + 132. Let y = w + -4. What is the smallest common multiple of 10 and y?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27170)\/(-80465))\/(2\/11)?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**2 - 8 + 13 - 13*n**2 + 2*n**2 - n + n + (-3 - 2*n + 3)*(3*n - 5*n + 17*n) to s*n + q + f*n**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -707 - 480 = -41*g - 449 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*b - 2 = 0, 10 = -0*b - 2*b. Are -7 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38062 (base 10) to base 8.\nAnswer: 112256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -206*c**3 - 65155*c**2 + 11638568*c wrt c.\nAnswer: -1236*c - 130310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/16*(-416)\/(-312).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 2:26 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 381662 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -50, -55?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1241, 1248, 1267, 1304, 1365?\n\"Answer: g**3 + 1240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 8 = o. Calculate the remainder when (-5 + 1)\/(-107 - -101 - (-284)\/48) is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z**2 - 8*z + 10. Let m be v(2). Let x = 1 - -34. What is the greatest common divisor of m and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-2)*(-4)\/5. Let o(w) = -w**d + w - w. Let z(i) be the second derivative of -i**3\/3 + 9*i. Give z(o(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4*70\/(-7). Solve 0 = -4*c + q*r + 37, c - 3*c = -4*r - 26 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1413387?\nAnswer: 3, 97, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 (base 10) in base 16?\nAnswer: 10e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 2*m + 80. Let s = 34 - 20. Let d = m - s. 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 n(y) be the third derivative of y**2 + 5\/6*y**3 + 0*y - 7\/60*y**5 + 0*y**4 + 0. What is the derivative of n(i) wrt i?\nAnswer: -14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 7, -5, 9, 12, -1 in descending order.\nAnswer: 12, 9, 7, 4, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 326291.9863 + -326267. Let m = 25 - v. What is m rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010120 + 110002110?\nAnswer: 100221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 23*h**2 + 31*h - 714. Let b be i(23). Is b < -1\/1843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 5*z - 30, -66*f + 65*f - 4*z = 14. Factor 12\/5*k - 46\/5*k**f + 12*k**3 - 5*k**4 - 1\/5.\nAnswer: -(k - 1)**2*(5*k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 2:24 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6 - 5 - 2. Let w(o) = o**2 + 3*o + 6. Let i(u) = 2*l(u) + w(u). List the prime factors of i(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/986)\/(3104\/(-52768))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -2*m - 20, 2*m - 20 = -5*i + 7*m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36806 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/34042692 and -9\/212104.\nAnswer: 68085384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -11. Suppose -5*o + 21 = 3*f - 0*f, -2*o = 2*f - m. Let n(l) = -l**2 + 3*l - 4. Determine n(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -219163 - -390612. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 791191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jue when three letters picked without replacement from dddeeudddjuj?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662887202?\nAnswer: 2, 331443601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-515)\/(-206))\/((3\/(-2))\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 9388133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 32576.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**7\/21 - a**6\/24 - 7*a**5\/60 - a**4\/24 - 198*a**2. Find the third derivative of z(i) wrt i.\nAnswer: -240*i - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 6*k**2 - 4*k + 3. Suppose -a = -3*a - 10. What is u(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 2*i + 4. Let o(n) = -3*n**3 + 74*n**2 + 289*n + 86. Let q(k) = 4*j(k) - o(k). Determine q(-70).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73 + 80. Let c be (6 + (2 - v))*3. Is c bigger than 16\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -86 + -4?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/15, -0.03, 43, 2\/9, -5, -3?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8987527 and 7?\nAnswer: 62912689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25719 is divided by 122.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 135135013 (base 7) to base 12\nAnswer: 2b6922a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*t + 1204, 5*y + 1342 - 7299 = -4*t. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 12:45 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 (base 15) in base 4?\nAnswer: 20323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(-5) - (1 + 0). Let l be h - (2 - 2 - 0). Let g = 14 + l. What is the highest common divisor of g and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -48816127.\nAnswer: -4\/48816127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.348 + -0.048. Put -2\/5, w, 0.4 in increasing order.\nAnswer: -2\/5, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p. Let g(v) = -12*v + 0*v + 22*v + 31*v. Let b(s) = g(s) - 6*i(s). Let t(c) be the third derivative of c**4\/12 - c**2. Determine t(b(y)).\nAnswer: 118*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2994 = -2156. Suppose 0 = -3*c + 3*p + 13500, 3846 = 2*c - 4*p - y. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2981368?\nAnswer: 2, 13, 109, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(475) - (-1*sqrt(475) + 2 - sqrt(475)))*-5 + ((sqrt(1900) + -1)**2 + -3 - 1*(sqrt(684) + -1)**2).\nAnswer: -83*sqrt(19) + 1227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1328, 3040, 4752, 6464, 8176?\n\"Answer: 1712*a - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 + 2*b**2 - 4*b**2 - 3*b - 3*b**2 + 2*b**3 + 3. Determine m(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 25 = -5*l, -3*l + 6 = 2*b - 8. Suppose 0 = 2*t - 15 + b. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, n: 1, i: 1, b: 1, y: 1}. What is prob of picking 1 n and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, y: 4, m: 3, p: 8, k: 2}. Give prob of sequence kw.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3136)\/84*270\/(-21). Calculate the highest common divisor of 360 and u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473*b**2 - 927*b**2 + 456*b**2 - 17*b.\nAnswer: 2*b**2 - 17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (574\/369)\/((-14)\/(-12))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-243 - -202)*(5 - 4)\/(-2 + 1).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 2*b - 6. Suppose 3*j + 18 = -2*w, -2*j - 11 = -4*w + 17. Let x be a(j). Does 15 divide (-12)\/(-18) - x\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + -2 + (-3 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-6881901\nAnswer: -137638.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(119)*1)\/((sqrt(84)*1)\/sqrt(12)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 72410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -451491699?\nAnswer: 451491703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 1 + 1. Factor -1 + g - g**3 + 3 - o.\nAnswer: -g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**3\/6 - 3*c**2\/2 + 2*c - 80. Calculate g(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8717 = 68*l + 761. Calculate the highest common divisor of 3627 and l.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -3. Let c be z\/8 - 2\/(-4). Solve c + 15 = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**3 - x**2 + 2*x. Let k(o) = -3*o**2 + 0*o**2 + 4*o**2 + o**3. Let b(i) = -k(i) - l(i). Find g, given that b(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 8*o**2 + 10*o + 20. Calculate the remainder when 767 is divided by y(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398*f = -394*f - 212. Solve 32 = -17*b - f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1\/2 (c) 74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 115612028, 231224058, 346836088, 462448118, 578060148, 693672178?\n\"Answer: 115612030*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1961.63 - -1974. Let m = f - 3.72. Let c = m + -9. What is c rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34069*v**3 + 34537*v**2 wrt v.\nAnswer: 204414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*o = -6*q + 550, -o = -4. Is q a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (15 + -1 - (1 + -4 - 0))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 51?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 167705277?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -39*x - 273. Let r be o(-7). Let b = -8 - -19. Find the first derivative of r + 16*l**3 - b + 21 wrt l.\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(42) - -2*sqrt(672))\/(sqrt(600)*1)*5.\nAnswer: -5 + 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1022900 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*l + 32*l - 4113 - 1143 = 0 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s + 55. Give t(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-2)*(-20)\/(-45). Let h(f) = 3*f - 11. Let w be h(4). List the prime factors of (4\/y + 22)\/w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 14*l - 14. Let k(u) = -2*u - 3. Let t(w) = g(w) + 2*k(w). Let n(o) = -o**3 - 2*o**2 - 3*o + 2. Let f be n(-2). Calculate t(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -382.159 * 2705\nAnswer: -1033740.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - 0.7. Let w = -3 - -3. Which is the third biggest value? (a) w (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1191 and 12.643868?\nAnswer: 1178.356132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 992469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5042742 to the nearest 100000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 13*x - 13. Let h be u(-9). Suppose 1 = s - m, -3*s - m + h = m. Solve 0 = 4*r - f + 5, 4*r + r + 25 = s*f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145628 divided by -4?\nAnswer: 36407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/17 and 1\/12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 3. Let z be r(5). Let x be -8 - -9 - (z - 1). Is x at least 4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59714615 a multiple of 591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c6 - 6?\nAnswer: 1c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(70\/(-120)*(330\/(-21))\/(-11))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x - 40. Calculate i(16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)*1*-3 - sqrt(55))\/sqrt(11) + 4*(sqrt(5) - sqrt(540)\/sqrt(12)))**2 + 3.\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from uuqquqqquuuqqqbqqquu.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 238\/1071*12\/8\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven halves of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*r - 22654, -4*r = 3*g - 8*r - 16993. What are the prime factors of g?\nAnswer: 7, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-341)\/(-572) + (-4)\/(-26)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*w**3 - 5*w**3 + 0*w**3 + 3*w**3 + (4 - 4 - 2*w)*(-3*w + 3*w + 2*w**2) - 9*w**2 + 22*w**3 - 46*w**3 + 32*w**3.\nAnswer: 4*w**3 - 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 16 = 24*j - 29*j, 2*j + 5*z = 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.547*-318083\nAnswer: -173991.401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.254 minus 0.4?\nAnswer: -0.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26554 - -46305. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8698 is divided by 52.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 6 + (-352)\/(-77) + 9\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28302 + -21?\nAnswer: -28323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.019.\nAnswer: 0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 5\/(-3))*7470\/(-996). Solve p = 23*x - 24*x, 0 = z*p - 5*x + 30 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = m - 3*m - 17, m + 3*y + 11 = 0. Let z = -21 - m. Let a = 8 + z. Put 4, -3, 3, a in descending order.\nAnswer: 4, 3, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 13. Let f = 0.15 + 0.05. Let i be (-1 - 2 - -3)\/(-3 + 1). Which is the nearest to i? (a) -2\/17 (b) q (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3734617 or 3734618?\nAnswer: 3734617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8*r. Let q be u(3). Suppose 2*v - 6*v = -q. Let o(f) = 6 + 9 - v + f. Determine o(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 2*s + 3. Let b be g(2). Solve -3*v - 9 = 2*u + b, 1 = u - 2*v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*s + 37*s + 8975 = -452*s - 11409 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 36 = -6*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 43, -1466, -5557, -13520, -26645, -46222?\n\"Answer: -215*p**3 - p**2 - p + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*m + 30. What is the greatest common divisor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 3*h - 3*h)*(-4*h + 2*h + 4*h)*(-35*h + 35*h - 14*h**2).\nAnswer: 224*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5)*n**(2\/7))\/(n*n*(n*n**(-3\/4)*n)\/n)**(4\/3) assuming n is positive.\nAnswer: n**(-81\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22699 + 317515\/14. Let u = -20\/7 - k. What is the common denominator of 65\/18 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + a**2 - a + 1. Let d(b) = -5*b**3 + 3*b**2 - 4*b + 76. Let t(x) = d(x) - 4*p(x). Is t(0) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008783 to six decimal places.\nAnswer: 0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 3*l, -4*n + 5*l - 6 = 3*l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13957, 27883, 41793, 55687, 69565?\n\"Answer: -8*d**2 + 13950*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtnnnnntntttnt. What is prob of picking 1 r and 2 t?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/7, 142, -2\/7, -0.5 in increasing order.\nAnswer: -2, -0.5, -2\/7, 3\/7, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 w when four letters picked without replacement from {k: 3, t: 2, w: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 - -33. Let i = -26 - n. Let s(y) = -2*y + 6. Let p be s(i). Calculate the greatest common divisor of 18 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-18)*1)\/(605\/(-726))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 19.33. Let q = -0.67000059 + v. What is q rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -46, 3, 0, -36, 39?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22286004 by 5.\nAnswer: -22286004\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -13*j**2 + 9*j + 219. Let u(f) = 3*f**2 - 2*f - 55. Calculate 2*t(o) + 9*u(o).\nAnswer: o**2 - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5600967, 11201939, 16802899, 22403841, 28004759, 33605647, 39206499?\nAnswer: 44807309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6988894*-4.\nAnswer: 27955576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 24. Let q = u - 16. Suppose 9 + 3 = q*a. Solve -a*z + 8 = 0, -3*i - 20 = -3*z + 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -17)\/(((-8)\/(-321))\/8). Suppose -4*m + 5447 = 5*i, -5*i + 20*m = 19*m - b. List the prime factors of i.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*-4*(-1)\/(-4)*(-31)\/(-4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -1)*-1*5)**2.\nAnswer: -150*sqrt(13) + 2950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n. Suppose n*q + q = 11. Suppose -3*h + 2*h + q = 0. Calculate the greatest common divisor of 55 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.6 - 8.3. Sort 143, j, -1 in increasing order.\nAnswer: -1, j, 143","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 376*o**2 - 4511*o - 1. Let m be p(12). Solve -y + 2 = 0, m*y - 16*y = -3*n - 19 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.21179 - 0.21208457. Round m to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568823617.\nAnswer: 97, 101, 58061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1282, -5, 7, 0, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 5*r + 2. Determine b(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -25, -5 in descending order.\nAnswer: 10, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 179 - 176. Which is the smallest value? (a) 5 (b) 0.1 (c) h (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 2*k**2 + 2*k. Let j(g) = g**3 - 6*g**2 - 4*g. Let v(s) = 2*j(s) + 6*m(s). Factor v(l).\nAnswer: -4*l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 23 = 3*p, -5*p - 5*l - 22 = -2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**4 - x**3 - x**2 - x + 1. Let p(w) = -21*w**4 - 7*w**3 - 6*w**2 + 27*w - 9. Let d(n) = 18*m(n) + 2*p(n). Factor d(l).\nAnswer: -2*l*(l + 3)**2*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -187 - -105. Is 18 a factor of (5\/(30\/(-18)))\/(6\/t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -221?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**8*a)\/a**(-3\/7))**16*((a**2\/a)\/(a\/(a**(4\/5)\/a)*a))\/(a**4\/a*a**(-4\/7)*a) assuming a is positive.\nAnswer: a**(5118\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 2:12 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 609.446us to nanoseconds.\nAnswer: 609446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(65) - -1*sqrt(65)))\/(-2*sqrt(5)*-5).\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21455, -21449, -21441, -21431, -21419?\nAnswer: -21405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104663326, -104663328, -104663340, -104663368, -104663418, -104663496, -104663608?\nAnswer: -104663760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*y = 68, -5*g + 3*y + 102 = -103. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008871155 to 5 decimal places.\nAnswer: 0.00887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125636399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.00049, -13\/21, 0.3?\nAnswer: -13\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 2*t**2 - t - 4. Let x be y(0). Let k be 1\/(1 + 0 + -2). Let h = -3 - k. Is h bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*d - 10*d + 3*d**3 + 13*d + 3*d - d**2 to j*d**3 + n*d**2 + m + t*d and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -7067.984.\nAnswer: -7064.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + -7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361*d + 2*l = -366*d + 16133, -2*d - 2*l + 6452 = 0. What are the prime factors of d?\nAnswer: 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 205493?\nAnswer: 82197.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 1. Suppose 4*g = 5*s + g - 1, -4*s + 5*g = -6. Let c be 0\/(-1) - (-3)\/s. Sort 4, a, c in ascending order.\nAnswer: c, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -122*i**3 + 3*i**2 + 6*i. Let b(y) = 244*y**3 - 5*y**2 - 10*y. Calculate 3*b(u) + 5*c(u).\nAnswer: 122*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45562944 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 35 = -5*i, 5*i + 95*t = 92*t - 19 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111001110000101 (base 2) to base 11.\nAnswer: -20245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20301*s - 10148*s - 79*s**2 - 10153*s - 19*s**2.\nAnswer: -98*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - -19. What is the remainder when l is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 7*n + 15. Let c be g(11). Let d = -26 - c. Solve -o - 7 = -d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-3 + 4 + -4). Suppose h + 40 - 112 = r. What is the highest common divisor of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 1b?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/11 and 11\/318?\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 11:10 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5 > -0.057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*f - 536, -2*c + 7*f - 11*f = -288. Solve -33*v = v + c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**4\/8 + 229*n**3\/8 - 10963*n**2\/8 - 253257*n\/8 - 30258 = 0?\nAnswer: -16, -1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 29 = -4*i, -5*u + 38 - 10 = 3*i. What is the smallest value in u, 0.03, 0.3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 + 62 + -25 + (-2 - 2) + 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -276 - -330. Suppose -q*z + 58*z - 25316 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1068096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1219354.8s?\nAnswer: 20322.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-2)*64\/(-40) - -1292. Suppose 2*t = -512 + m. Is 49 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.02 and 11101223940?\nAnswer: 11101223939.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-260)\/(-64))\/((-2)\/4) - (-8 + 0). Which is smaller: -581 or d?\nAnswer: -581","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 287502.\nAnswer: 2875020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 5*w**2 - 2. Let a be c(-5). Calculate the common denominator of (a\/(-8))\/(8\/(-118)) and -26 + 31 - 362\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*w - 9 = 0, 7*w - 11*w = -4*v + 4. Suppose 7*q = 3*q + 16. Solve -5*l = q*c + 1, -7*c + v*c - 35 = -5*l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*r, -4*r = -8*x + 6*x + 18542. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -614.2 - -614. Let l = -95 + 94.5. Which is the nearest to -0.1? (a) l (b) d (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -48.4 (b) -40593 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 44?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 7*j**2 + 8*j + 20. Let c be n(-8). Suppose -5*r = -5*d - c, 3*r + 4*d - 18 = d. Solve r = -5*k - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -35. Suppose -2*a - 2*a + k = -16, -4*a - k + 16 = b. Put a, 1, 5, -5 in increasing order.\nAnswer: -5, 1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-7)\/(-21)*-3*-51*8\/24.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18802932 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 + -198. Let r = -135 - x. Which is the third biggest value? (a) 0.1 (b) 12 (c) r (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21642368 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695 = 3*y + 4*v, 4*y - 920 = -0*y - 4*v. Let g = y - 144. Calculate the greatest common divisor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + d**2 - 4*d + 5. Let w be u(2). What is the common denominator of 4\/6 - (w + 606\/48) and -63\/20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1591397 to the power of 1\/2, to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65.098 - 0.398. Let k = -68 + z. Round k to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (220 - 222) + (-13 - -7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3 + 12683*p**2 + 146131*p - 76236 = 0. What is p?\nAnswer: -12, 1\/2, 6353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(21)*1*2)\/sqrt(7)*-1.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 11*t**2 + 18*t - 33. Determine r(10).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 784009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -221 + -3135a0?\nAnswer: -3137c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3323 + 0.4323. Let n = 10.8 + -8. Let r = n - 3. Which is the biggest value? (a) r (b) w (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2067\/40 or -53?\nAnswer: -2067\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35472, -35477, -35482, -35487?\nAnswer: -35492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - 2*x - 2*x)*(206 + 316 - 2538) in the form a + r*x and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-4504)\/(-32))\/((-66)\/(-80) + (-84)\/105)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2421984 by -151374.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*f**3 + 3*f - 5*f + 2*f.\nAnswer: 37*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.92829 millennia in decades?\nAnswer: 5792.829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -15154783.059 to the nearest 10000.\nAnswer: -15150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2916556, -2916559, -2916562, -2916565?\nAnswer: -2916568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9348372 divided by 86?\nAnswer: -108702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**5\/10 + 5*b**3 + 19. Let r(s) be the third derivative of c(s). Let p(h) = -h. Calculate r(p(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137146*p**3 - 38451*p**2 + 2*p.\nAnswer: -822876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1733195 is divided by 981.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*x - 327 = 0, -4*x + 347 = 2*f - 3*x. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iinhiehhenibehih. What is prob of picking 1 n, 1 b, and 1 h?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1481 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 230 + -155. Suppose 6*h + 235 + 143 = 0. Let u = h - -89. What is the remainder when r is divided by u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 13*l**3 + 6*l**2 - 30*l + 190. Let u be s(6). What is the greatest common factor of 148 and u?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41*h*j + 1975*h - j - 150987 wrt h?\nAnswer: 41*j + 1975","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 261 - 312 - (-1 + (-3 - -6) + 4).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14)\/((-18)\/210*-5)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13343 (base 6) to base 13.\nAnswer: c3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -0.08 (c) 5\/4 (d) -29 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -111 + -82.\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.85 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r**3 - 5*r**2 + 101*r + 4. Is c(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 5*a - 3. Let u be f(6). What is the nearest to 0 in u, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2. Let r(l) be the third derivative of 0 + 0*l - 2*l**2 + 0*l**3 + 0*l**4 - 1\/30*l**5. Let k = -215 - -211. What is k*r(o) + 7*y(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3564370 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13839606 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: Let d(k) = -1056669*k - 7. Let i be d(-3). What is i rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 1 + 138*o + 2 - 7 - 137*o - 2*o**2 to p + v*o**2 + a*o and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*((-2 - 2 + 3)*(q + q + 0*q) + 0*q + 0*q + q - 1260*q - 632*q - 936*q)*(6 + 0 - 4).\nAnswer: -5658*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 116*d**3*f - 1331*d*f + 393897*f wrt d.\nAnswer: 348*d**2*f - 1331*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayuyaayxavava. What is prob of sequence aa?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 246*d + 130595. Determine p(-535).\nAnswer: -1015","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 5*x + 3753, 0 = 4*x + x + 15. What are the prime factors of q?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -260\/3 + 88. Let j = -167 - -669\/4. Which is the closest to j? (a) 0.2 (b) 0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8*-2*(-1)\/(-4). Suppose -4*p - 50 - 38 = -5*b, 2*p = -j. Solve 0 = -3*t + 7*t + b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0321 and 0.20166.\nAnswer: 0.16956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -905 times 0.1\nAnswer: -90.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*p + 30. Let a(x) = -x**2 - 10*x. Let u be a(-6). Suppose o - 23 = -4*k, -5*k = -0*o + o - u. What is the remainder when o is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6736012.\nAnswer: 2, 17, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 24 = -4*p, p - 4*g - 6 = -3*g. Let n = -4 + 18. Let o = p + n. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21410, -21411, -21412?\nAnswer: -21413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -8 + 5 + 2*o + 3. Let q(f) = 3*f**3 + f**2 - 2*f + 1. Let r be q(1). Let g(d) = -6*d. Give r*g(p) + 8*l(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*j - 13 + 13 + 22*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 2112764*k + 84507360.\nAnswer: 2*(k - 1056342)*(k - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = d, -1 + 21 = -5*k. Let a = d - -11. List the prime factors of a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 102 - 17 - h + 75 in the form s + t*h and give s.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -736*j + 750*j - 294. What is the least common multiple of j and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/4080*132\/99?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -51, -121, -247, -435, -691, -1021?\n\"Answer: -s**3 - 22*s**2 + 3*s - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 51551003.4248.\nAnswer: 51551003.3248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 268, -0.4, -1, 0.\nAnswer: -1, -0.4, 0, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.3, 4\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12965, 12939, 12911, 12881?\nAnswer: 12849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + 133?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 781*m - 770*m + 0 + 0 + 2.\nAnswer: 11*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 693 - a9b?\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 71b812c?\nAnswer: 71b8127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 60 = -0*k. Solve -g + k = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 357 + -355. Let x = 25\/24 + -11\/8. Which is the closest to -1? (a) -7\/3 (b) q (c) -2\/7 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**6\/120 - s**5\/60 - s**3\/6 - 1969*s**2 - 2*s - 2. Let b(g) = g**3 + 1. Give -6*b(k) - 5*d(k).\nAnswer: -k**3 + 5*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 55290033971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*u = 175, 0*i + 3*i + u = 123. Let p = -36 + i. Suppose 0 = -9*d + p*d. Solve -x = -5*b + 13, -3 + d = -b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13354619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + a**2 + 3*a + 13. Let y be 0\/(4\/10 - 16\/(-10)). Let w be s(y). Calculate the greatest common divisor of 130 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 419872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 1.72, -1.7 in descending order.\nAnswer: 1.72, -0.03, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3894.6215 plus 0.138?\nAnswer: 3894.7595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**6*a*a))\/(a**(-1\/8)\/a))\/(a**(-10)\/a**(6\/5)) assuming a is positive.\nAnswer: a**(173\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5032914 and 1048944?\nAnswer: 523423056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.002 and -1.2.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-7) - (-17905)\/8610. Let v = r + -1\/123. What is the second biggest value in 2\/11, -0.5, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 41, 82, 125, 170, 217, 266, 317?\n\"Answer: j**2 + 38*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -759 - -1581. Let w = d - -334. Is 17 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-8)*1*-31. Let n = o + -16. Let m be 3 + 3\/(-78)*74. Which is the third biggest value? (a) -0.4 (b) n (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 2*f + 5 = 0, -7 = -5*l - 9*f + 6*f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795349735.\nAnswer: 5, 1741, 91367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -44 (b) -0.4 (c) 3 (d) -0.1 (e) -3\/8 (f) -4 (g) 2\/63\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0083009853 rounded to 4 dps?\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(5) + 2 + 3.\nAnswer: sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -8*p - 62. Let v(l) = l**2 + 11*l + 15. Let q be v(-10). Suppose 8*h = 3*h + q. Calculate the least common multiple of t(-8) and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5 = 7*l - 2*l, l = 2*f - 1. Suppose f*w + 5*w = 15. Suppose w*a - 21 = -0*a. Solve -3*g = -4*o + 9, 1 = -3*o + 2*g + a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(4\/7)\/s)*s)**(3\/22))**(-35\/4) assuming s is positive.\nAnswer: s**(-255\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3 = m, 2*h = -2*h - m - 3. Let l(v) = v**2 + h*v**2 - 1 - 3*v + 7*v. What are the prime factors of l(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29484959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4598.4*0.4.\nAnswer: 1839.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-78)\/(-9))\/13*(-13)\/(52\/(-48)). Solve 5*t + 3*a = 8, 50*t + a = 47*t + v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174753826, 174753822, 174753818, 174753814?\nAnswer: 174753810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4717 = -5*x + 44627, 2*l - 15976 = 2*x. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36249 + -10471. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10053 = -1234*o - 2287 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -6*w + 45. Suppose 3*n = 5*j + 17 - 1, 2*n = j - 1. What is the tens digit of (-168)\/w*-3 - n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 5*r + 20 + 11*r to f + d*r and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-58)\/(-319) - (-1 + 86\/(-11)). Suppose 0 = -q*r - 2*r + 110. Solve r = -5*y - 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 f, and 1 l when four letters picked without replacement from luffjfmumuflfjfff?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, n: 2, b: 9, y: 3, z: 1}. What is prob of picking 3 b and 1 n?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4 = -2*z - 2*o, 0 = -2*z + 2*o + 2. Find n, given that 3 - 1 + n**z - 2 - 1 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168801 plus -14?\nAnswer: -168815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a038 + 494?\nAnswer: 1a4cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 21 + 27*z - 27*z + 28*z**2 - 21. Let n(s) = 2*s**2. Give b(n(g)).\nAnswer: 112*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18506674*q**3 + 4128856*q?\nAnswer: -111040044*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-6 + -4 + 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56972707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 4*g - 9. Let u be k(-6). Solve 2*t = 2*o + 4, -24 = -u*t - 0*o - 3*o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44.0602 - 0.0602. Let o = 45.2637 + -0.6737. Let k = o - x. Round k to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20\/37 + -137\/185. Suppose -3*l = -0*l + 3. Which is the biggest value? (a) l (b) v (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from jejeejeeeeejee?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -114?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 462640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1614*t**2 + 153*t**2 + 20*t**2.\nAnswer: 1787*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6740, 6770, 6800, 6830?\nAnswer: 6860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 8*h - 1258. Let q = 1213\/2 - h. Calculate the common denominator of q and 34\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4037977183?\nAnswer: 223, 18107521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1813 and -2 - (287\/(-4) + 0) - 303\/(-1212).\nAnswer: 18130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266788 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 8 + 3)*(203*t**2 - 918*t**2 - 571*t**2) to p*t**2 + r*t + n and give p.\nAnswer: 6430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90029)\/(-2285) + (5 - (-110)\/(-25))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -248, -238, -228, -224, -232, -258?\n\"Answer: -d**3 + 6*d**2 - d - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*q - 62, 5*k + 89 = 4*q + 13. Suppose -2*m = -10, q + 57 = 2*c - 5*m. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/21 - 61072*j**2\/21 + 66620824*j\/3 - 1864406048\/21 = 0. What is j?\nAnswer: 4, 15266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-90)\/25 + 742\/70. Solve g + 5 = 0, -1 = x*t - 9*t + g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806892942.\nAnswer: 2, 3, 223, 263, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36913727 - -62509727. What is h rounded to the nearest 100000?\nAnswer: 25600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 522*f**3*y - 5*f**2*y - 50*f**2 wrt f.\nAnswer: 3132*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (3 + 0) - 0 - -7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1126\/7 + 162. Factor -8\/7*d - 2\/7*d**4 - 12\/7*d**2 - 2\/7 - l*d**3.\nAnswer: -2*(d + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 99, 338, 737, 1296, 2015, 2894, 3933?\n\"Answer: 80*i**2 - i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - (-35)\/(-14))\/25. Let i be (-150)\/14 + (-2)\/7. Let h = 6 + i. What is the closest to b in h, 2\/7, -2\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/5 + 87*j\/5 - 1512\/5.\nAnswer: -(j - 63)*(j - 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 12*n**2 + 2*n. Give d(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11238 or 11235?\nAnswer: 11235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n. Let m(u) = -406*u + 10556. Let f be m(26). Let l(b) be the second derivative of 0 + 0*b**2 + f*b**3 - 17*b + 2\/3*b**4. What is s(l(r))?\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.056596 times 7.12\nAnswer: 0.40296352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -857701 smaller than -857701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.314*29\nAnswer: -9.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p = -36*p - 12. Let l be p - (-1)\/(-2) - 15\/30. Solve l*x - 7 = -5*c, 6*c + 4*x = 2*c - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 428 = -0*w. Let s = w - -156. Suppose -a + 3 = 4*g, -3*a = a + g - 27. Calculate the highest common divisor of a and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sasaassassssaassss. Give prob of sequence sssa.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/22 and -3 - ((-226)\/(-24) + -9)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + w - 5. Let n be x(0). Let u(y) = -y**2 - 11*y - 16. Let j be u(-9). What is the nearest to j in 0, n, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 222?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12*(-728)\/(-24)*1. Calculate the highest common factor of 208 and o.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 11*m + 147. Give x(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -13.91. Let f = p - 0.14. Let v = -0.07 - f. Round v to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 - 2*o - 5. Let h be v(-8). Let r = -604\/3 + h. Let i = 29096 + -29091. Which is the second smallest value? (a) i (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3 + 56 = 5*p, 3*p - 48 = -3*v. What is the highest common divisor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k**3 + k**2 - 4*k + 7. What is s(2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175 - 184. Suppose 6*k + 27 = -21. Is k < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*q**4\/5 - 1408*q**3\/5 - 15486*q**2\/5 + 88*q\/5 + 968\/5 = 0. What is q?\nAnswer: -22, -1\/4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 903 and 3?\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o*r**3*u**2 - 3*o*r**2*u**2 - 142*o*r*u**3 - 102888*o*r*u**2 - 31*o*u**2 - 71*r**3*u**3 + 46*r**2*u**3 wrt u?\nAnswer: -852*o*r - 426*r**3 + 276*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 - 67.3. Let q = v + -0.7. Sort q, -2, 1 in increasing order.\nAnswer: -2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 14*m. Let w(u) = u**3 + 76*u**2 + 271*u - 1161. Calculate the remainder when w(-72) is divided by c(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -998 + 1435. What is the greatest common divisor of q and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o - 9. Let j = -18 + 20. Suppose 12 = 2*k + j*k. Suppose 2*m = k*m + 7. Give w(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 13226 = -4*t - h, 0 = -4*h + 4. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*d + 91*d = 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 25*j**2 - 19*j - 26. Let s be a(26). What is the first derivative of -91*d - 149*d - 176 + s wrt d?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9327820*j**2 + 4663909*j**2 + 4663910*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/31623 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 221, 211, 187, 143, 73, -29?\n\"Answer: -g**3 - g**2 + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1196 and 16744?\nAnswer: 16744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + o**2 - 3*o)*(-2 - 2*o - 6 + 16 + (-27*o + 13*o - 27*o)*(3 + 1 + 0)).\nAnswer: -166*o**3 + 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8*k = 6. Are 0.39 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhhh when four letters picked without replacement from hfhht?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**4\/15 - 508*f**3\/15 - 1976*f**2\/15 + 400*f = 0.\nAnswer: -250, -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -7) + 10 + (3 - (-1 - -3))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 16 - 20. Let k = p + -6. What is the remainder when 1\/(2\/34*1) is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - m + 3. Let l be d(0). Let n be l*1 + 55\/(-20). Let k = -0.0133 + -1.9867. Which is the nearest to n? (a) 5 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 - c**3 + 4*c**3 - c**2 + 1. Let y(r) = 7*r**3 - 6*r**2 + 5. Let j be 6*(-8)\/24 + 7. Calculate j*d(w) - y(w).\nAnswer: -2*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 447985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2bb29 (base 12) to base 10\nAnswer: -62097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 157.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + 2*k**3 + 5*k - 4*k + 17 - k in the form h*k + g + d*k**3 + p*k**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 30288 (b) 23 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24758652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -4. Let n be (-234)\/d*(-9)\/6. Let s be 1 + 12\/(2 + -1). Calculate the highest common factor of s and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 29\/5 of a micrometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2037445029 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: Convert 116.6113cm to meters.\nAnswer: 1.166113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9 + 1.9. Let q = o + -0.5. Put 0, q, 0.2 in increasing order.\nAnswer: q, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 5:14 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13681 not equal to 13681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176*y + 20 - 1839*y**2 + 1835*y**2 - 19 + (y + y - 4*y)*(-5*y - 7*y - 4*y) to the form u*y + q + x*y**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1586 and 244.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 170*m**5 - 7*m**2 - 6?\nAnswer: 10200*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13134.\nAnswer: 2, 3, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25987*b + 10122 = 25505*b for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 6:07 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77160 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 809 divided by 1.\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4)*(3 + -3 + 0). Let g(y) = -y**3 + y**2 + 2. Let q be g(r). Let a = -21 - -31. Solve -4*n = o - 17, -2*n = 4*o - a - q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -7.3. Suppose 0*c = -c. Let l be (-11 - -2)\/(-3) + c. What is the second smallest value in b, -0.3, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3))**(1\/42)*(n\/(n*n**(-2)*n))\/(n\/((n\/(n*n**(3\/8)*n))\/n*n)) assuming n is positive.\nAnswer: n**(-685\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, m: 1, g: 4, q: 2}. What is prob of picking 1 q and 3 g?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356*k - 1192 = 952*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -45221\/2?\nAnswer: -45221\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 6*c + c)*(17 - 10*c**3 - 17).\nAnswer: 20*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1052 (base 16) to base 7.\nAnswer: -15116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c**2 - 2*c**2 + 13*c**2 + 3*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x. Let y(f) = -2*f**2 + 6*f + 8. Let j be ((-20)\/(-6))\/(114\/(-171)). What is j*i(a) + y(a)?\nAnswer: -2*a**2 + a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/(-3)*40\/(-25))\/2. Put -16, -3, y, 13 in ascending order.\nAnswer: -16, -3, y, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -426453, -852914, -1279375, -1705836, -2132297, -2558758?\n\"Answer: -426461*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 3952*v + 3956*v + 70, -2*v - 293 = -7*g for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (32\/448)\/((-3)\/2*(-1)\/(-3)). What is the biggest value in -409\/2, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgmmmmmlmlggclzgmcz. What is prob of picking 1 z and 1 l?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2. Let v(h) = h**2 - 3*h**3 + 4*h**3 + 7 - j + h. List the prime factors of v(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5605754969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45306)\/(-378) + -89)*(-1)\/3 - (-11 - -1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*g**3 + 95*g**3 - 185*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1694 = 25*z - 14*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 h, 1 y, and 1 p when four letters picked without replacement from {p: 1, i: 4, y: 1, j: 1, w: 5, h: 1}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3719350 and 6.\nAnswer: 11158050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 0 - 1\/2*x**2 + 0*x + 3\/4*x**5 - 5\/4*x**3 + x**4 = 0.\nAnswer: -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77062\/3 - 25691. What is the biggest value in 113, w, -0.2?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*m - 12, y = -0*y - m. Let g = -200 + 208. Is 2*(-422)\/g*y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 12:18 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/131964 and -41\/1032.\nAnswer: 11348904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9491, 9671, 9851, 10031, 10211?\nAnswer: 10391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*b - 60*b = 25*b + 1595760. Round b to the nearest 100.\nAnswer: -13100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 5*t**2 - 3*t**2)*(34*t + 26*t - 7*t)*(4*t**2 - 4*t**2 + 2*t**2) + t**2 - 2*t**5 - t**2.\nAnswer: 316*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 754.96 - 755. Let h = 318.04 + -313. Let l = u + h. What is the third biggest value in l, 3\/2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m + 2. Let g be x(2). Let l(f) = -f**2 + 1 + 1 + 6*f - 4*f. Suppose -8 = 2*p - 2. Let a(j) = j**2 - j - 2. What is g*a(c) + p*l(c)?\nAnswer: -c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 74597755 to the power of 1\/2, to the nearest integer?\nAnswer: 8637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Express (-d - 2 + 2)*(-d**2 + 2*d**2 - 3*d**2) + (-2*d - 2*d + 5*d)*(-2*d**2 - d**2 + 13*d**2) in the form k*d**3 + u*d**2 + a + m*d and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*a**2 + 58*a**2 + 2*a - 77 - 2*a - 119*a**2 - a as q*a + v*a**2 + m and give m.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51060106 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23864*g + 29152*g - 53017*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323250 is divided by 1903?\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**3 + 6985836*n**2 + 6100231091520*n - 12200490126400 = 0?\nAnswer: -1746460, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j. Let r(b) = -58 - 3*b + 58. Calculate x(r(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -1161915?\nAnswer: -1161915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -88003, -87861, -87661, -87373, -86967, -86413, -85681?\n\"Answer: 5*f**3 - f**2 + 110*f - 88117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000581 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.757583l?\nAnswer: 4757.583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74201 = 2*u + q, -3*u + 2*q + 72112 + 39179 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*b + 425 = -527. Suppose -22*q = -b*q. Factor 3*o**3 + 3\/2*o**4 + 0*o**2 - 3\/2*o**5 + q*o + 0.\nAnswer: -3*o**3*(o - 2)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -2. Let b = 9 + z. Suppose 4 = p + b. Does -2\/21 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 15, -3, 1271 in increasing order.\nAnswer: -3, 4, 15, 1271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, -9 in increasing order.\nAnswer: -9, -5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.299 + 5.799. Sort -34, x, -5 in descending order.\nAnswer: x, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0*m + 395. Round m to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03646 - -419.93646. Let w = -420 + o. Which is the closest to 2? (a) 1 (b) w (c) 13\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yznnywn. What is prob of sequence znwn?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4785 divided by 5?\nAnswer: -957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14, 22, 36, 56?\n\"Answer: 3*k**2 - k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 0\/(-1) + -2. Let x be 344\/10 + d\/10. Let k = 79 - x. Calculate the greatest common divisor of k and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1300) + -1)**2.\nAnswer: -20*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 12:41 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6251*c**2 - 10*c - 6991. Let p(l) = -1278*l**2 + 2*l + 1398. Let h(i) = 2*a(i) + 11*p(i). Find the second derivative of h(q) wrt q.\nAnswer: -3112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 548 divide 18202916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36281 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: What is the hundred thousands digit of 8028028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 14. Let t(u) = -2*u. Let m(s) = -5*s + 1. Let b(h) = 3*m(h) - 8*t(h). Let w be b(-5). Sort w, 4, p in decreasing order.\nAnswer: 4, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-26)*n)\/n)\/(n**(2\/39)*n)*(n**(2\/19))**22)**(-6\/23) assuming n is positive.\nAnswer: n**(36658\/5681)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 9:30 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 220522.8 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53.6 + 53.74336. Let v = z + 0.56574. Let m = v - 0.7. What is m rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1046117 is divided by 1045888.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 13 = -p, p + 3 = 1. Let v = -30 - -51. Let x = v - b. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = i + 2 + 7, -2 = 2*i. Let f = w - 0. Let g be f\/(-8) - (-539)\/44. What is the greatest common divisor of 132 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((1 - -3) + -2). Suppose r = u + 2*g - 90, -8 - 8 = 4*g. Is u a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t - 3. Let d(s) = -s + 2. Let n(l) = -3*d(l) - 2*z(l). Let o(g) be the second derivative of -17*g**4\/6 + 68217*g. Calculate o(n(j)).\nAnswer: -34*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*y + 10. Let r(t) = 5*t**2 - 5*t - 3. Let j(z) = 16*z**2 - 16*z - 8. Let v(d) = y*j(d) + 10*r(d). What are the prime factors of v(-6)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-20))**(-3\/26)*q*q**16*q*q*(q\/q**26)\/q assuming q is positive.\nAnswer: q**(-245\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 152, -65 in decreasing order.\nAnswer: 152, -5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306 and 11407.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -428 and -26.3.\nAnswer: -454.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 2*o + 27, -7*c + 4*c + 18 = -3*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 + 89. Calculate the remainder when 627 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -134 (b) -3 (c) -0.3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -8, 2\/823 in descending order.\nAnswer: 1\/8, 2\/823, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 5*c + 21 = 0, -c + 173 = -15*j + 184 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -57c (base 15) to base 16\nAnswer: -4da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25a1a (base 15) to base 10\nAnswer: -120400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/187 and 23\/105028.\nAnswer: 1785476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 789 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 + 19*p - 38. Calculate m(-10).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k - 74024 = -5480. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*j + 1666 = -2770, -2*w + 1768 = 4*j. Suppose 0 = -4*h + 5*i + 910, -3*h - i - 196 + w = 0. What is h rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwxxxxxxxxxwwxwxxw. What is prob of picking 3 x?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 - 2 - 5*v**3 - 1 - 2*v. Let t(s) = -6*s**3 - 4*s - 7. Let l(q) = 3*t(q) - 7*z(q). What is the second derivative of l(w) wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78917000 rounded to the nearest 100000?\nAnswer: 78900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m + 5. Let a be o(0). Suppose -a*p + 20 = -p. Let w(x) = -x**3 + 7*x**2 - 7*x + 14. Let f be w(6). Sort p, f, 0 in decreasing order.\nAnswer: f, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 209552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31748419627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -125*n + 3002. Let y be j(24). Solve -16\/5*m + 16\/5 + 4\/5*m**y = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 5.6. Let h = 892 + -881. Suppose 5*j = t - h, 0 = t + t + 2*j + 2. Sort c, t, 0.\nAnswer: c, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.2247 to 1 dp.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = -65. Let x = -60 + 202. Let u = x + o. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27080823 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -2, 70, 6.193 in descending order.\nAnswer: 70, 6.193, 3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 340 and 77180?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 4. Determine r(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6393 - 6397. Let z = 4.03 - 0.03. Let g = 0.1 - -4.9. Which is the smallest value? (a) -0.06 (b) g (c) z (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001644 to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d - 2422 = 329*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-336)*-4)\/(5*(-6)\/24)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 i when two letters picked without replacement from {c: 5, i: 11}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2. Let l(z) = 2*z**3 + 5*z**2 - 3*z + 2. Let a be l(-3). Suppose -5 = -r - a. Let y(g) = 6*g - 8*g + r*g. Determine y(o(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2080*o**2 + 1234*o**2 - 1443*o**2)*(3 - 3 + 3) + o**2 + o**2 - 3*o**2 + (2 - 2 + o**2)*(1 + 3 - 5) in the form q*o + n*o**2 + l and give n.\nAnswer: -6869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 6:29 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 6*c**2 + 7*c + 13. Suppose -2*f = 2*k - 5 + 25, 2*f + 10 = 0. Let i be h(k). Solve i*z + 2 = 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016172225 to six dps.\nAnswer: -0.001617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*z**3 - z - 10*z**3 - 6*z**2 + 25*z**3 + 24*z**2 + 5 as v*z**3 + f*z + y + u*z**2 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 76748, 153496, 230244, 306992?\n\"Answer: 76748*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37668 or -36715?\nAnswer: -37668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2. Let n(i) = 94*i**2 + 7. Let u = 22 + -15. Let h(x) = 48*x**2 + 4. Let m(k) = u*h(k) - 4*n(k). Determine m(c(t)).\nAnswer: -160*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00082781 to 5 decimal places.\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4535, 9022, 13509, 17996, 22483, 26970?\nAnswer: 31457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-24)\/((-432)\/(-18))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o**3*s**3 + 205*o**3 + 5*s**4 + 2*s wrt s?\nAnswer: -3*o**3*s**2 + 20*s**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-73242)\/(-24))\/((-15)\/(-260)) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33052104803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 21572?\nAnswer: 21575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 691 = 16*p + 1101 - 634 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/13))\/u**0*(u\/(u**0*u))**(-2\/13))\/(u**3*(u**(-2\/3)*u)\/u*(u\/u**4)\/((u*u\/(u**5\/u))\/u)) assuming u is positive.\nAnswer: u**(-58\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*q + 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + sqrt(288) + 4) - (sqrt(4)\/(sqrt(18)\/sqrt(144)) + -3))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 9:03 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*v - 17. Let q be v\/(-15) + 385\/25. Is q smaller than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -952*s**2*x**3 + 2*s*x**3 + 4*s*x**2 - 39*s wrt s?\nAnswer: -1904*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11664229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51 - 1?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 4610?\nAnswer: -4605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -60*l**3 + 7*l**2 - 29 - 2*l + 117*l**3 - 56*l**3 + 0*l**2. Let b be w(-6). Solve 0 = 4*r - r + 2*t + 17, b = -3*r - 4*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4771092.\nAnswer: 2, 3, 397591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65075172?\nAnswer: 2, 3, 409, 13259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-five quarters of a micrometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013906082 to six dps.\nAnswer: 0.001391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 564283 (base 9) in base 13?\nAnswer: ba97b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*d**5 - 2664*d**4 - 13*d**3 + 1788127*d**2?\nAnswer: -360*d**2 - 63936*d - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2162, 4135, 5926, 7535?\n\"Answer: -91*s**2 + 2246*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210754005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 329157 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 5284971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 6685.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 164.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 16*h**2 + 21*h - 22. Determine p(-17).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3 - 19963798*m**2 - 99638327609996*m - 199276575364808 = 0. Calculate m.\nAnswer: -9981898, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16076438 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -1.25.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 - -3)*(-3)\/(-9). Let m be 2\/j*(-14)\/(-14). Let d(n) = 7*n**2 - 2*n + 4. Let p be 9\/4*(-24)\/9. Let l(u) = -u**2 - 1. Give m*d(s) + p*l(s).\nAnswer: -s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.026 - -0.067. What is q rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b - 6*b + b in the form a*b + q and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 89\/2 of a century in years?\nAnswer: 4450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3552645 divided by -3\nAnswer: 1184215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11279883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 417 and 3197?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 168*i + 768. Let g(f) = f + 4. Let o(j) = -576*g(j) + 3*q(j). Let c(l) = -l. Give -60*c(y) + o(y).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33737 + 16875 + 16862 - 4*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5 + 7*n + 81*n**3 - 80*n**3 + 0 - 6*n**2. Let y be i(5). Suppose -8*u + 7 = -4*u - s, -y*u + 13 = 3*s. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/29 in 13, 1.08, -4, -4\/7, 2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*k**3 + a*k**2 + 30*a*k - 6*k**3 + 1 wrt k.\nAnswer: 12*a*k + 2*a - 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3506*a**4\/9 + 7011*a**3 + 214028*a**2\/9 + 49267*a\/3 + 42 = 0 for a.\nAnswer: -2, -1, -9\/3506, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 4*o - 8, o + 0*f = f + 6. Suppose -7*k + 24 + o = 0. Solve 0 = -6*s + k*s - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/1441 and -44\/1194327.\nAnswer: 13137597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -17141.886.\nAnswer: -17143.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 441*r - 2. Let a be q(2). What is a rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20704073 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -2. Let f = 20323\/462 - 1003\/21. Calculate the common denominator of (-2350)\/v + (-2)\/(-6) and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/25 and 4\/47785.\nAnswer: 238925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 5:31 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p + 4*p**2 + 9*p**4 - 4*p**2 + p**3 - 11*p**4 in the form x*p**2 + u*p**3 + o*p + j + c*p**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 6*s**2 + 17*s - 6. Let r be l(8). Let d be (0*(-2)\/(-8))\/r. Solve -6*p + 8 + 4 = d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, -1299, 4 in decreasing order.\nAnswer: 4, -70, -1299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*m**5*u + 991957*m**2*u**2 + 17*m*u**2 + 7505419*u**2 wrt m?\nAnswer: 120*m**3*u + 1983914*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5 = 5*h, -13*h + 3 = 2*l - 14*h. Let p(g) be the second derivative of 0 - g - 1\/2*g**l + g**3 + 0*g**2 + 1\/20*g**5. Calculate p(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 0. Suppose -3*s = x*s - 36. What is the third derivative of 43*w**2 - 11*w**s + 2*w**5 - 32*w**2 - 2*w**5 wrt w?\nAnswer: -1320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 249 + 239 = 0. Let b be (f\/15)\/((-8)\/(-1368)). Which is smaller: -116 or b?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-105)*230\/(-138))\/((-6)\/(-7)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 47*d - 1027. Let z(m) = 12*m - 1. Calculate -a(x) + 4*z(x).\nAnswer: x + 1023","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 31 - 22 = 0. Suppose 474 = y*q - 3*q. Suppose 0 = -c + 76 + q. What are the prime factors of c?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - y = 21 - 37, -4*y - 26 = 6*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-22)\/330*(-30)\/9\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -0.1746?\nAnswer: 0.3254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1737 divided by -3\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9705, -38578, -86679, -153990, -240493, -346170?\nAnswer: -471003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w**2 + 3*w. Let m(s) = -48*s**2 + 24*s + 4. Let f(z) = -49*z**2 + 23*z + 5. Let x(c) = 4*f(c) - 5*m(c). Give 28*o(q) + 3*x(q).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 196\/15 - 1342\/105. Let h = -4 - -7. What is the smallest value in 1\/5, h, g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -585*t**2 + 1789*t**2 + 935*t**2.\nAnswer: 2139*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 smaller than 76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2. Let i(k) = -3*k**3 - k**2 - k + 1. Let b be i(1). What is the tens digit of l(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -197\/216 < -85\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -519*r**2. Let w(n) = 24885*n. Determine a(w(b)).\nAnswer: -321397613775*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Do -12787 and -11744 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*l + 140 - 1067 = -24*l. Suppose -6 = -3*c - 0. Suppose -4*i = -5*k - 1, 0*i = -c*i + 2*k + 2. What is the remainder when l is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*f - 20, 2*f = 3*u + 2*u - 127. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3)*6\/(-7). Let u be (-3)\/(4 + -3) + 5. Determine o, given that 2\/7*o**3 - f + 2\/7*o**u - 2\/7*o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 76, 138, 222, 334, 480, 666?\nAnswer: 898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 57762689*i - 93 = -57762686*i, -5*i - 151 = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1789 is divided by 365.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 14 - 22 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 f when four letters picked without replacement from {i: 7, f: 5, s: 2, a: 3}?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-728)*13*(-1 - 11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + -1)*-5)**2 + 1.\nAnswer: -100*sqrt(5) + 526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -15*4\/(84\/(-49)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 479206 by -6.\nAnswer: -239603\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*o + 82*o = 0. Factor 4\/9*x**2 + o*x - 14\/9*x**3 + 0 + 2\/3*x**4.\nAnswer: 2*x**2*(x - 2)*(3*x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3848870 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*s**4 + 2*s**2 + 7*s - 458 wrt s.\nAnswer: -276*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**4\/17 - 2464254*a**3\/17 + 7392780*a**2\/17 = 0.\nAnswer: -1232130, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*z - 27, 2*c - 5*z + 20 = 24. What is the remainder when (15\/20)\/((-1)\/(-32)) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 14 = -2*z + z, -4*p = 8. Suppose -2*w + z*a = -8, 2*w - 3*a = -2*w + 6. Suppose 3*o - 5*o + 586 = w. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/43)*v**(-16)*((v**(-6\/13)\/v)\/v)\/(v\/(v\/v**(-10\/3))) assuming v is positive.\nAnswer: v**(-25448\/1677)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f = 2. Let p be 3\/(((-21)\/(-10))\/7). Let q = p + f. Calculate the remainder when 21 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (729*m - 81*m + 686*m)*(-5 + 3 + 5) + 5*m + 6*m - 2*m to the form d*m + k and give d.\nAnswer: 4011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqe when three letters picked without replacement from {q: 2, e: 1, n: 14}.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222 + 592*t - 1709*t + 580*t + 568*t.\nAnswer: 31*t - 222","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 303775 equal to 303775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.579282 kilograms to milligrams.\nAnswer: 1579282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -0.3. Suppose 25 = 5*o + 2*u, 0*o + 5 = o - 4*u. What is the closest to t in 0.3, o, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-13)*i\/i**(-8))**30 assuming i is positive.\nAnswer: i**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*o - 1. Let v(c) be the first derivative of -c**3\/3 + 35*c**2\/2 + 85*c + 331. What is the least common multiple of v(37) and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350019 is divided by 116640?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-104)\/13)\/(((-19)\/((-1748)\/(-8)))\/1)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12091306\/3 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2 (c) 2\/7 (d) -2\/9 (e) 47.5 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 3421.\nAnswer: -4\/3421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24788622329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -760, -1443, -2112, -2761, -3384, -3975?\nAnswer: -4528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24720 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 r, and 1 c when three letters picked without replacement from {r: 4, c: 6, s: 2, u: 1, z: 4}?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1794.1 rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 12.3321\nAnswer: 0.739926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5 - 4. What is the smallest common multiple of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*z + 6506 + 90. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110000011001111 (base 2) to base 3\nAnswer: 1020222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(11\/(-88)*3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 1274875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16777587?\nAnswer: 3, 2137, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1.39, 111, 5, -26?\nAnswer: 1.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 + -54.6. Let v = k - -7. Which is the smallest value? (a) -0.2 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/4 (b) -9 (c) 0.4 (d) -0.5 (e) -59.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2448878 to the power of 1\/2, to the nearest integer?\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 58425 divided by -3\nAnswer: -19475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22357435 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 1 - t - 5. Let m = 7 + -8. Let s(d) = 1. Let a(b) = m*j(b) - 4*s(b). Let y(z) = -2*z**2. What is a(y(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23108 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: Solve 79*w = -5*w + 26*w - 116 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 632 = 6*t - 166. Suppose -132*b - 3 = -t*b. Suppose 2*y - d - 1551 = 0, -b*d = -4*y - 8*d + 3137. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/175028250 and -61\/1500.\nAnswer: 350056500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6392.003989 + -6392. Round g to 4 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -729, -1401, -2073, -2745, -3417?\n\"Answer: -672*v - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3575.\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-5*(sqrt(3) + sqrt(27)) + 0 + sqrt(24)\/sqrt(8))*6)**2.\nAnswer: 38984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 301 and 909\/21 - (-9)\/(-189)*6.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15298, 30606, 45912, 61216, 76518, 91818, 107116?\n\"Answer: -m**2 + 15311*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 10:53 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87602, -97335, -107068?\nAnswer: -116801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3779*u**2 + 26451*u - 10. Give m(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*w**2\/9 + 1559384*w + 1651112\/9.\nAnswer: 2*(w + 412778)*(17*w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 216094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -556.15 + 569. Let q = -13 + y. Let r = -0.1484 - q. Round r to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y = -5*z + 21*y - 25, 5*y - 5 = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -58, -146, -234, -322?\n\"Answer: -88*l + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + 967. Let m be i(0). Is (6 - 1)*m\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 8*u**2 - 8*u + 10. Let w be s(7). Suppose 0*c - 153 = -w*c. Let q = 88 - c. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -776 + 798. What is the least common multiple of h and 1432?\nAnswer: 15752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5870\/7 - 840. Which is the third biggest value? (a) 5 (b) 1 (c) m (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 20 - 32) + 2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 4. Let w = 2.0087 + -0.0087. What is the nearest to 2\/5 in g, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/6 and -121\/7160.\nAnswer: 21480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*f + 12. Let z(k) = k**3 - 5*k**2 - 4*k - 4. Let j be z(f). Let t = 11 - j. Solve 0*v - 25 = -3*v + 2*b, 10 = t*v + b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*b**2 - 5*b**2 - 4*b**2.\nAnswer: 22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 190 - 19*p - 50*p**2 - 215 + 260 - 217. Calculate a(1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 2*v + 2*v)*(-4*v + 3*v - 2*v) - v**2 - 2*v + 2*v + (v + 2*v - 6*v)*(-4*v + 2*v + 0*v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -491*b**4 + 3*b**2 - 247*b.\nAnswer: -11784*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.57 minus 4758?\nAnswer: -4755.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*z + 3. Let w(c) = -c**2 - 3*c + 3. Let g be w(-3). Solve z = -k + g*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/63)\/((-12)\/(-14)). Is 3\/4 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/(-6) + 1158\/72?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2)**(-1\/15))**4 assuming f is positive.\nAnswer: f**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4, 0.3, -1\/2, 1.16?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1*sqrt(28) + sqrt(28))**2 + sqrt(7) - ((sqrt(70)*3)\/sqrt(10))**2).\nAnswer: sqrt(7) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vny when three letters picked without replacement from {x: 2, y: 4, n: 1, v: 1, o: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 - 13*g**2 + 51*g**2 - 27*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594660 is divided by 148657.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1604464127, -1604464125, -1604464113, -1604464085, -1604464035, -1604463957, -1604463845, -1604463693?\n\"Answer: a**3 - a**2 - 2*a - 1604464125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/4 of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 2*u**2 + 5\/24*u**4 + 4\/3*u**3 + 3*u + 0. Let h(d) = -3*d - 5. What is -8*h(w) - 5*r(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence occo when four letters picked without replacement from {o: 6, z: 2, e: 1, y: 1, c: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 9 - 29 = -4*l, 0 = -2*w - 2*l + 26. Suppose -5*z + w + 4 = 0. Solve 0 = -2*p + p - z*j + 15, -4*j = -4*p - 20 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -885 + 4453\/5. Is 6 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**4 + 3*t**4 - 5*t**4)*(-7 + 3 - 3).\nAnswer: -7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -168.8 - -168.8. What is the second biggest value in 2\/9, q, 8, 2\/11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 13. Let h = 29 - 25. Suppose -4*s - h*g - 835 + 151 = 0, 0 = -i*g - 5. What is s rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 23 + 0*p + 4 - p - 8. Let b be r(0). Suppose -c + b + 2 = 0. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 9:09 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.4 times -1427?\nAnswer: 14840.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -615054.74 and -3.\nAnswer: 1845164.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1091135, -1091134, -1091133, -1091132, -1091131, -1091130?\n\"Answer: v - 1091136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12172 divided by 179.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219697 is divided by 508?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqf when three letters picked without replacement from {j: 3, g: 1, l: 1, q: 2, f: 6}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*g**2*p**3 - 57*g**2*p**2 - 84*g**2 + 202*g*p**3 - 2271*g*p wrt g.\nAnswer: -16*p**3 - 114*p**2 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 z when four letters picked without replacement from {q: 2, z: 11}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1926 and -139\/308850.\nAnswer: 99140850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26658, -106653, -239982, -426645, -666642?\n\"Answer: -26667*w**2 + 6*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256569598 is divided by 105.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2689 + -2680. Calculate the smallest common multiple of c and 315.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w. Let i(c) = -26*c**2. Let v(r) = 7*r**2. Let a(o) = -3*i(o) - 11*v(o). Give d(a(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-87998)\/(-5739)*18\/(-4)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 + v - 9. Let y(t) = 319*t**2 + 17*t - 81. Let f(n) = -9*b(n) + y(n). Let p(u) = -2*u**2. What is f(p(z))?\nAnswer: 1348*z**4 - 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 5*j + 1. Let n be x(5). Let d(i) = 5*i + 5. Let w be d(0). Solve w*k - k - 1 = f, 0 = k - n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43870767313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.6456 - -0.3544. Which is the third smallest value? (a) -1\/29 (b) -0.2 (c) 1\/3 (d) -14 (e) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -23107*c**2. Let d(u) = 49*u**2 + 38. Determine d(t(o)).\nAnswer: 26162739001*o**4 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/4 + 95\/20. Find the second derivative of n + 0*n - n**3 + l*n**3 wrt n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.29, -0.1, -4, 5, 0.05 in decreasing order.\nAnswer: 5, 0.29, 0.05, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 854127378 + -5?\nAnswer: 854127373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 16 = -6*w. Calculate the remainder when 48 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b - 15*b - 40 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to -405\/256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 62 + -53 + 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhbkghbghgkughbhb. What is prob of sequence hb?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 49 - 8*l + 5*l.\nAnswer: -3*l - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726096891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2*(-7)\/28*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1202.46, -1, 3\/2, -3 in increasing order.\nAnswer: -1202.46, -3, -1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + -1*sqrt(95))*3)\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-3 - -4) - (2 - -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89254 - 85526 = -3747*j - 69864 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1837 - 1787. What is the highest common divisor of 1930 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 8\/3*z + 10*z**3 + 14\/3*z**4 - 98\/15*z**5 - 28\/3*z**2 - 2. Solve f(a) = 0 for a.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484*d + 636*d - 972*d.\nAnswer: 148*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-112)*-63)\/1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -2\/315*b**7 - 1\/60*b**6 + 0*b + 0 + 1\/90*b**5 + 1\/12*b**4 - 20*b**2 + 1\/9*b**3. Determine i so that u(i) = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 x when four letters picked without replacement from exzbezbxxbzbb?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*q - 1048 + 250 = 0 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -7708738 and -7708740 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**3 - 26098. Let k be (-4 - 0)*(-3)\/4. Let t(q) = 6*q + 2*q + k*q. Calculate a(t(v)).\nAnswer: -363*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45367253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -7611677 to the nearest 10000.\nAnswer: -7610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11514235 + -3?\nAnswer: -11514240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 (base 12) in base 15?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46 + 842 + 2*c - 397 + 656 to i + f*c and give i.\nAnswer: 1147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 10:23 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2 = 1 + 4, 0 = f + 110*s - 113 - 217 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kyyqkkcqkyqkckkky. What is prob of picking 1 k and 1 c?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 993, 1193, 1393?\n\"Answer: 200*y + 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 28, -5, -1, 5 in increasing order.\nAnswer: -6, -5, -2, -1, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 10. Suppose -w*n = -11*n + 10. Let r(y) = y**2 + 2*y - 3. Let q be r(-3). Solve 2*o - n*o = q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -9*v - 2. Factor -10*r + 12 + 3*r**v + 0*r + 2*r**3 + 0*r - 7*r**2.\nAnswer: 2*(r - 3)*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383215 is divided by 76629?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 7*u - 8. Calculate w(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6766895 and 17.\nAnswer: 115037215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/30*(210\/441)\/(-8*(-100)\/(-175)).\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 180\/42) + 80\/(-14). Let j = m + 9. Solve 0 = -a + j*b + 7, a - 2 = b - 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2175746, -4351492, -6527238, -8702984?\nAnswer: -10878730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.9 (b) -5 (c) 3 (d) -2\/19 (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66374074 + -17.\nAnswer: -66374091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23667 is divided by 11786.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14485, 14969, 15777, 16909?\nAnswer: 18365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -8*i**3 - 1245*i**2 + 1727*i + 46. What is q(-157)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - y - 11 = 0, 4*v + 3*y - 7 = -0. Let d be ((-3)\/4)\/((-5)\/(-20)). Put 2, d, v in ascending order.\nAnswer: d, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**0)**(-14\/13)*b**(-6\/11)\/b**(-2))**(1\/2))**(2\/21) assuming b is positive.\nAnswer: b**(16\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2536*33\/54 - 2\/(-9). Suppose -8*a - 2*a = -m. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/(-5)*(-2)\/3. Suppose 20 = z*w + w. Let r = 6 - -13. Solve -w*b + 3*d + 11 = 0, -4*b - 3 = -4*d - r for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 402 + 398 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88 + -89 + (2 - (1 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, t: 1, b: 3, r: 4, g: 4}. Give prob of picking 1 g, 1 b, and 1 a.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.76 - -0.24. Let q = 23 - w. Let y = -7 + q. What is the nearest to 0.1 in -3, y, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363334 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + 70\/(8 + -3))\/(8\/(-232))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from {c: 8, r: 1, m: 4, w: 1, e: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9 - 15 + 14*r**3 - 13*r**3 - 47*r - 22*r**2.\nAnswer: (r - 24)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*u - 30 = 0, -u + 6 + 16 = a. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 406164 and 23375.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-6))\/((-1)\/(-9)). Let k(t) = 4*t**2 - g*t**2 + 10 - 3*t - 2*t**2 + 2*t. Let q be k(0). Calculate the greatest common factor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 2*q + 2*q - 2580, 0 = 5*p - 5*q - 3245. What are the prime factors of p?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1400*v**2 - 309\/2*v - 1250*v**3 + 9\/2 = 0. Calculate v.\nAnswer: 3\/50, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35639.71 kilograms in nanograms?\nAnswer: 35639710000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 271599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.404 + 112.596. Let c = 105 - q. What is the smallest value in c, -5, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*a - 36*a - 66 = 0. Suppose 1 = 4*z - 7. Suppose 10 = 4*q - z*q. Sort a, -5, q in increasing order.\nAnswer: -5, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17761 - -27388. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -23*h + 111*h**2 + 13*h + 6 + 3*h. List the prime factors of y(1).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84544 = -47*d - 85578 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/5))**29*(v\/v**(-2\/43))**43 assuming v is positive.\nAnswer: v**(254\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 2*j**2 + 27. Let f(d) = 2*d**3 + 3*d**2 - 52. Calculate -4*f(h) - 7*z(h).\nAnswer: -h**3 + 2*h**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4017626?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2 + 5*t + 8. Let l(s) = 7 - 10*s - 13*s**2 + 20*s**2 + 29*s - 9*s**2 - 15*s. Let v(q) = 7*l(q) - 6*m(q). Determine v(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, v: 1, p: 4}. What is prob of picking 2 p and 1 s?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/6130 and 99\/865490?\nAnswer: 530545370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 861, 1545, 2231, 2919, 3609?\nAnswer: 4301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o*(o\/o**(-6))\/o)\/o)\/o**(1\/4))\/((o\/(o*o**0))\/o)**(-40))**(2\/95) assuming o is positive.\nAnswer: o**(-7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 4*j = -15, -3*i + 4*j = 2*j - 11 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 61178172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-6) - 123\/(-6). Let m = -2 + 8. Let t be 0\/(m\/(1*-3)). Solve t*g = -5*g + d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o + 7. Let s(y) = -440*y - 29. Give 4*b(g) + s(g).\nAnswer: -448*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 33010?\nAnswer: 33010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**5\/q)*q**(10\/7)*q)\/(q**(-3\/10)*q)**(-44\/3) assuming q is positive.\nAnswer: q**(1018\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**5\/20 + u**4 - 10*u**3\/3 + 5*u**2 + 19*u - 3. Calculate t(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 496 = -3*o, 2*o = 7*b - 10*b + 739. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -22. Suppose 9*w = n*w - 72. Calculate the remainder when w is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4613103043 to the nearest integer?\nAnswer: 67920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 3. What is c(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.814 + -604.786. Let v = w - -958.3. Round v to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 + 12*w + 5. Let o be y(-8). Suppose l + 379 = 4*g, 16*l - 20*l + 289 = 3*g. Suppose o - g = -2*b. Do b and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -414*n + 17. Let x(v) = -70*v + 3. Calculate -6*k(m) + 34*x(m).\nAnswer: 104*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = d + 5*l + 1, 0 = -2*d + 3*l - 9. What is the second derivative of -119*g + 85*g + 23*g**3 + 38*g**d wrt g?\nAnswer: 366*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2. Let v be (-1)\/(-4) - 15\/(-4). Let a(b) = -7*b - 13*b**2 - 141 + 141. Let l(r) = -7*r**2 - 4*r. Let k(g) = v*a(g) - 7*l(g). Calculate t(k(y)).\nAnswer: 27*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2611 or -2612?\nAnswer: -2611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1208 - -1210. Solve -4*g + 20 = -5*t, g + 8 = -n*t - 0*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/(-7)*1\/(-2). Let a(o) = -2*o + o + o - w*o. Let k(l) = 3*l**2. Let h(z) = z**2. Let y(r) = -5*h(r) + k(r). Determine a(y(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.24*-80.75.\nAnswer: -180.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57? (a) 19.3 (b) -3 (c) -0.5 (d) 5 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15879181 and 1954?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55676*g + 55742*g + 726 = 0 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 7*t = 28 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1286 - 15*x + 8*x + 10*x.\nAnswer: 3*x - 1286","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*o**2 - 2465*f**2*o + 2*f**2 + f*o**2 + 10015*f wrt f.\nAnswer: -2*o**2 - 4930*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.271 - -0.529. Which is the fourth biggest value? (a) -2\/9 (b) 2\/11 (c) -6\/5 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**1*i*i\/i**(-2\/9))\/(i**4\/i**(-2\/81)) assuming i is positive.\nAnswer: i**(16\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 44793.41 weeks?\nAnswer: 27091054368000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 27.6, 5, 2\/7, -1\/3, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14105.7 (b) 5 (c) -5 (d) -4\/5 (e) -68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -4, 100, -5 in ascending order.\nAnswer: -5, -4, -3, 1, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*((sqrt(2448) + (sqrt(2448) - (sqrt(2448)*-2)**2) + 0 + ((sqrt(2448)*-1 + -3 - sqrt(2448)) + sqrt(2448) + sqrt(2448))**2 + sqrt(2448))*4 + 0).\nAnswer: -469584 + 1728*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -508681 + 800307 = -26*n + 5186100. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/20)\/((-52)\/(-260)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 + 63 = 4*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/4)\/((-4)\/8). What is the greatest common factor of 35 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-9 + 3) - 1 - 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -139 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 596 = 4*z, z + 0*l - 147 = 3*l. What is the highest common factor of 15 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 6. Let j = -6 + 6. Suppose j = -n*z + 91 - 15. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a277 (base 13) to base 16\nAnswer: c717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/6)\/(10\/(-15)). Find the third derivative of 6*c**6 + 4*c**6 - 15*c**6 + 9*c**x wrt c.\nAnswer: -600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -36655816?\nAnswer: 36655812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 334247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 0 - 9 + 0 + 363*i + 9 in the form b*i + o*i**2 + y and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/11)*c*c)**29\/((c**(-1\/7)*c*c)\/c)**(-14\/13) assuming c is positive.\nAnswer: c**(7672\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**4\/7 - 88*u**3\/7 - 324*u**2\/7 + 1648*u\/7 - 176 = 0. What is u?\nAnswer: -14, -11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3478\/148 + (-8)\/(-16)*-36.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9678556*j**3 + 376*j**2 - 9501*j wrt j?\nAnswer: 58071336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c - 189*c + 17*c.\nAnswer: -155*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 167423955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**4\/12 - i**3\/3 + 3*i**2 + 23*i. Let w be c(-3). Solve -3*k + 3 = -w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q + 1. Let i(p) = -p + 1. Let w(u) = -d(u) - 2*i(u). What is the units digit of w(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.83352 - -10588939.\nAnswer: 10588929.16648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-22) - 2394\/(-22). Which is smaller: f or 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 57? (a) 5 (b) -0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 12*g + 65. Let r be v(-8). What is the second derivative of -473 - r*k + 946 + 3*k**2 - 472 wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 12*d - 34. Calculate the remainder when 21 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24781 is divided by 801.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-7 + 7 + -2)) + 6 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 182864140 a multiple of 515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 0*p**3 - 3*p**3 + 3*p**3 + 3*p**3.\nAnswer: 3*p**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2591858 times 0.6?\nAnswer: 1555114.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 0 - 5\/6*b**3 - 1\/24*b**4 + 0*b - 2*b**2. Give j(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 217 and 13577690?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -12. Let w = 466 - 304. Suppose z*l = 5*l + w. Calculate the highest common divisor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -13*o. Let s(w) = 632006*w. What is s(g(r))?\nAnswer: -8216078*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*v**2 - 15*v**2 + 1 - 16*v**2)*(-1 + 3 - 1)*(-363 + 68 + 74 - 4 + 1 + 1 + (0 - 4 + 3)*(4 + 3 - 6) - 2 + 2 + 2 - 4 + 5 + 1 + 2 + 3 - 6 - 1 - 1 + 0).\nAnswer: 1784*v**2 - 223","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -91*m + 9. Let q(y) = -23*y + 2. What is -9*q(g) + 2*x(g)?\nAnswer: 25*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 12 = -4*u. Let h be u\/(-10) + 0\/(-2). Let i = -206\/65 - -36\/13. What is the third biggest value in h, i, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 (base 9) in base 4?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 11:45 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 15*q - 6. Let p(c) = -c**2 - c - 1. Let d(h) = p(h) + r(h). Let y be d(6). Suppose -w - u = -14, -3*u + 2*u + y = 4*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = 3*p - 99. What is the hundreds digit of 207 + (2 - p\/15*-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = v + 2*r + 480, 795 = 5*v - 5*r. Let j = v + -97. Calculate the remainder when 185 is divided by j.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 10:26 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 1. Let z be t(4). Let v(w) = 3*w**2 - 3*w - 5. Is v(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 4050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0*d + 3*d)*(-647 + 647 - 1802*d**3 - 223*d**3).\nAnswer: -2025*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29782419 less than 0.1560632?\nAnswer: -29782418.8439368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2325 divided by 50554.\nAnswer: -2325\/50554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4615 divided by -13?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, r: 10}. What is prob of sequence lr?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 45 - 17 - 16 - 146*p - 12 + 147*p. Let z(i) be the third derivative of 2*i**5\/15 + i**2. Calculate z(j(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.546 - -1463898.\nAnswer: 1463897.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -49425279\/23, -1\/7, -2\/5?\nAnswer: -49425279\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - -29. Let p = 618 - 633. Let m be (85\/p + 5)*-3*3. Calculate the greatest common factor of o and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 3 + 3 - 6 + 5. Let l(c) = -1. Let x(p) = -l(p) + s(p). Let w(f) = -3*f. Calculate w(x(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.718 litres in millilitres?\nAnswer: 718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128650 - 64495 - 6*b - 64155.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 - j + 1. Let s be n(2). Suppose -2*h + 2*a = 12, -5*h - 4*a - 54 = -a. Let x be 45\/(-36) + h\/(-6). Which is bigger: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00016718 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4069, -8159, -12249?\nAnswer: -16339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 89, -16, -197, -460, -811?\n\"Answer: -c**3 - 32*c**2 - 2*c + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 358 and 18?\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*k - 18*k - 14 = -476. Solve l + 27 = -6*o - 2, -k*o - 4*l = 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06832954945 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 593212, 2372850, 5338912, 9491398, 14830308, 21355642?\n\"Answer: 593212*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/4 + 171957*r\/4 + 19161153\/2.\nAnswer: -3*(r - 57541)*(r + 222)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 2*z + 1. Let p be t(5). Suppose -3*m = 3*n - 60, -5*n = p - 36. What is the greatest common factor of 80 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 284 or -3?\nAnswer: 284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**5\/30 - j**4\/24 + 48*j**2. Let z(o) = -4*o**2 + 4*o - 1. Let n(k) = -3*t(k) - z(k). What is n(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.36 and 57.6215.\nAnswer: -20.74374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -6. Let d(a) = -a**2 + 9*a + 8. Does 6 divide d(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1 = -5*f + 10*f, 4 = -4*f. Suppose -4*x - m*a + 50 = 0, 5*x = -a + 2*a + 73. What is the greatest common divisor of 98 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**4 - 2132*c**3 - 283020*c**2 + 285156*c = 0?\nAnswer: -267, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24, -120, -372, -858, -1656, -2844, -4500, -6702?\n\"Answer: -13*i**3 - 5*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) 2 (c) 56 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 287940 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rewrprrwpwrrrrrrpepp. What is prob of sequence wrrw?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*t + 162 = -2 - 17 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.151, -2\/11 in decreasing order.\nAnswer: -0.151, -2\/11, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 5*k = -p - 65, -p = 5*k - 5. Solve 4*v + p = 5*c, 2*c + 2*c + 5*v - 12 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)*((x**11*x)\/x*x)\/x)\/(x**8\/x*x**5*x) assuming x is positive.\nAnswer: x**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -177 - -171 - (-1 + -11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656 is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2806961 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.2, 9, 3 in descending order.\nAnswer: 9, 3, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 21 - 12 + q**2 - 21*q + 32. Let j be x(19). Let d(p) = 2*p**2 - 3*p. Let r be d(2). Solve -j*m = -r*m - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 times -2?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z. Let r(f) = f + 7. Let y be r(-6). List the prime factors of s(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 48*m + 332. Let u be z(-7). What is the smallest value in -23, u, -5?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/64 (b) -0.02 (c) -0.13 (d) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -570194, -570200, -570208, -570218, -570230?\n\"Answer: -k**2 - 3*k - 570190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -67*i - 5. Let y be v(-1). Let r = -3 - -4. Let a = y + r. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-3))**(-2\/37)*(o\/o**14)\/o**(-2\/27) assuming o is positive.\nAnswer: o**(-12805\/999)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 + j - 2. Let k be l(1). Sort k, 2, -4.\nAnswer: -4, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 8\/7 (c) 4\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4611 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/2 - 2\/4. Solve -3*y - d - 3 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - j - 36. Let r be m(-6). Let c(n) = n**3 - 40*n**2 - 84*n + 40. Calculate the remainder when 77 is divided by c(r).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1034759 tonnes in milligrams?\nAnswer: 103475900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - -1)*(-5)\/(-10). Let q = c - 0. Find the second derivative of -2*n**5 - 26*n**3 + 26*n**q + n - 2*n**5 wrt n.\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*a - 5*g + 1, -5 = -5*a + 5*g. Suppose -3*t + 2*k - 2 = 4, 0 = 2*t - 2*k + 6. Let p = a + t. Solve -d - 1 = p, 4*m + 4*d + 1 = -3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26\/5 of a decade?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((136\/85)\/(-2))\/((-4)\/30)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -543 - -546. Solve p*k - 1 = -10, 0 = -3*n + k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzzfmzgzfkttz. Give prob of picking 1 z and 1 k.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i**2 - i)*(9249 - 9249 + 177*i).\nAnswer: -177*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.122834214 to 3 dps.\nAnswer: 0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(55)\/(sqrt(33)\/sqrt(3)) + 5*sqrt(50)\/(sqrt(10)*2))**2.\nAnswer: -28*sqrt(5) + 309\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -81*h - 161. Let d be x(-2). Sort -65, 4, d.\nAnswer: -65, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1136, 2\/9, 30\/41 in descending order.\nAnswer: 30\/41, 2\/9, -1136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 1093 = 989. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -555106 or -555118?\nAnswer: -555118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nniiinnnnin. Give prob of picking 2 n.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.255011 times -2.28?\nAnswer: 0.58142508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1706836 to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 9:02 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*q**4 + 41*q**3 + q - 135?\nAnswer: -60*q**2 + 246*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2) - (-1)\/2. Suppose d - g = 0, -4*g = d + g - 12. Suppose m - 3 = -d*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 10 + -51 + (17 - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 4*l - 7. Let f be j(-5). Let d = 39 - f. What is the highest common factor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x - 147 = 853. Put 1\/2, x, -0.2, 2\/19 in increasing order.\nAnswer: x, -0.2, 2\/19, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y - 382 + 82 = 0. Calculate the common denominator of 993\/90 - y\/30*-2 and 38.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -1)\/(0 + -1). Let q = -3 + 2. Let c = -55 - -60. Sort q, f, c.\nAnswer: q, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**3 - 56*j**2 - 274*j - 6. Determine i(-4).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 5535 - (128\/8 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-7 + -3 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-52)\/(-48)*4 - 12\/(-18). Let c be 6\/(-10) - (347006\/a)\/(-2). What is c rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -65, -140\/11, 2\/75, 4\/7, -5\/2, -4?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/3 in -0.2, 7, -0.01, 3, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 743.46*-1.575.\nAnswer: -1170.9495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, f: 1, a: 1, v: 1, z: 2}. Give prob of picking 1 v and 1 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 380 - 416. Which is the nearest to y? (a) 2\/17 (b) -0.1 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*m - 84 = 0, 2*l - 4*m + 3*m = -42. Let b be (-36)\/l + 6\/21. Suppose -5*d - b*d + 14 = 0. Solve 8 = 3*o - 5*a, -d*o + 2*a + 28 = -7*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12a4a4 (base 14) to base 10\nAnswer: -643024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 + 1c?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -20*((-34)\/4 + 3). Let s be 279405\/n + (3 - 0). Let c = -2542 + s. What is the common denominator of c and -5\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5596, 11190, 16784, 22378?\nAnswer: 27972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9593050 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1610387328.\nAnswer: 2, 3, 11, 461, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(4 + (3 - 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*c - 57*c - 4620 = 0. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119244224 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: List the prime factors of 1005.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 + 1510*o - 329*o + 299*o in the form v*o + m and give v.\nAnswer: 1480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-82)\/123)\/(2*(-1)\/2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5650 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 1. Let s(k) = -2*k + 6. Determine -3*d(f) - s(f).\nAnswer: -f - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5844 or -5843?\nAnswer: -5844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6896 + -6897. Let l(i) = -6*i**3 - 2*i - 3. Give l(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 177 = p - 15*t, 4*p = 3*t + 759. Calculate the greatest common factor of p and 2112.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133 - -124. Let v be q\/((-1215)\/18) - (-4)\/(-30). Let d(j) = j**2 - 2*j - 5. Let x be d(4). Solve 3*u + 12 = -3*r - 9, -3*r + 3*u - x = v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40\/41950863 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 202 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/80 and -77\/720?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - 2 + 2 + (16*r + 33*r + 16*r)*(2 + 0 + 3).\nAnswer: 326*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 5082.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**3 + 5*y**2 + 6*y + 6. Let q = 56 - 55. Let u(g) = g**2 + g + 1. Let f(t) = q*w(t) - 5*u(t). Let n be f(-1). Solve 0 = -j + n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c - 12. Let x be o(-7). Suppose -7*d + d = -54. Suppose -225 = -14*h + d*h. Calculate the greatest common factor of h and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8457, -515, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 163937 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.006766 * 6.4\nAnswer: -0.0433024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**2 + 244*h - 18 + 4 + 5*h**2 - 480*h + 239*h + 3*h**3 as u*h**3 + r + a*h**2 + v*h and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 119.382 and 0.41?\nAnswer: 48.94662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 920*k**2*m**3 - 2*k**2*m - k**2 + 805*k wrt m.\nAnswer: 2760*k**2*m**2 - 2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -12, -3 in decreasing order.\nAnswer: -3, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -998*t + 1574 + 2014 = -1136*t for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-10))\/((-4)\/(-16))*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208 = 30*c - 2*f, -4*f + 43 = 39 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -62?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 452 + 554 + 2870*h**2 - 405 - 2875*h**2 - 121*h - 93*h wrt h?\nAnswer: -10*h - 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 6. Suppose -12 = 2*d - 5*d. Suppose o = d*w - 0 - 12. Solve -w*z + 3 = -f, -f - 3 = z - 0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.462*1428\nAnswer: 659.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyg when three letters picked without replacement from yyhyg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -86, -173, -290, -437?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5549894.\nAnswer: 2, 7, 59, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 394 + -403 - 2\/10*-37\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21473 + 21469 - (-2 + 1 + 61)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 3*y**2 - 83*y - 89. Let c be d(-7). Let -93\/5*b**3 - 3\/5*b**5 - 36\/5 - 153\/5*b**c - 24*b - 27\/5*b**4 = 0. Calculate b.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5*x + 69 = -j, 4*x - 16*j + 33*j + 264 = 13*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - 8*s**2 + 10*s + 17. List the prime factors of q(-7).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*w + 41. Let n = -7376 + 7380. Solve -q + 2*h = -5, n*q + 4*h = 2*q - w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-516)\/(-602))\/(4\/(-21)) - -3. What is the smallest value in 157, 1\/12, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -16.166?\nAnswer: -16.166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 15*f = 2*r - 412, 4*f - 3*r - 432 = 0. What is the greatest common divisor of 195 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1094 in 6\/1403, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a century in years?\nAnswer: 1420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 276, 0, 9, 5 in decreasing order.\nAnswer: 276, 9, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114*o**4 + 85*o**4 - 12*o + 72*o**4 - 50*o**4 - 37*o**4 wrt o.\nAnswer: 2208*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 4:53 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 4\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28.929 + -0.071. Let y = -3094 + 3097. What is the third smallest value in y, 1, h, 4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 44*g**2 + 193*g + 9. Calculate v(-4).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -1530?\nAnswer: -1532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 9:46 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5164479 + 5163667 - 10323962 + o.\nAnswer: o + 4184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10416*n**5 + 11871*n wrt n?\nAnswer: -208320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.033 (b) -3 (c) 0.3 (d) 0.4 (e) -7 (f) -0.1408 (g) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -101*s**2 - 5*s + 17. Let j(x) = -204*x**2 - 9*x + 30. What is -5*j(b) + 9*q(b)?\nAnswer: 111*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 37922.817693?\nAnswer: 37922.917693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-2))\/((-5505)\/(-5138)*(-70)\/36).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 146988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/136 + 210\/(-51) - (-3 + 0). Let a(k) = -45*k. Let x(y) = y. Calculate c*a(s) - 18*x(s).\nAnswer: 27*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4\/13 - 2218*d**3\/13 + 904392*d**2\/13 - 159569888*d\/13 + 10160547712\/13 = 0. What is d?\nAnswer: 161, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2159 + 4.7841. What is the fourth smallest value in m, 1\/3, -0.07, 0.14?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 668483061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -1\/5, 14, -5, 1.3, -0.18?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 770683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, -0.34, 3\/7, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3225 + -1260?\nAnswer: 1745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -11. Let d = x - 4. Is 1 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2961 + -13188?\nAnswer: -16149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 290631957 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -22483554 divided by 53?\nAnswer: -424218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/10 of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10112243993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1103272 (base 8) to base 2.\nAnswer: -1001000011010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5526268823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 26*r. Let f(l) be the second derivative of -2*l**3\/3 - 89*l. Determine f(a(z)).\nAnswer: -104*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/29 (b) 1\/2 (c) 0.4 (d) -1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22339 and 6202677.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 78*z**3 - 3434*z**2 + 105*z - 748. Calculate q(44).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -208454.4 rounded to the nearest 1000?\nAnswer: -208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (1*sqrt(190))\/sqrt(10)) + (4*sqrt(171))\/sqrt(9))**2 + 4.\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*3 - (33 - -1 - 5). Let h be 1087\/(-9) - u\/(-117). Is (h\/3)\/((-33)\/(-9) - 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1788279*t = 1788478*t - 1990 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/22 - 930\/(-550).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*y + 3*p - 54, 0 = 3*y - p - 43. Suppose -3*s + 18 = 3*k, -3*s - k + y = k. Find d such that d**4 + 4*d**s - 3*d**4 + d**4 - 5*d**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-12) - (4 + -6)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -129 > 159710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9697 + 9697.1. What is the second biggest value in -2\/11, i, -1\/8, 20?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(1053) + -3))**2 + 0 - 2*(-1 + (sqrt(1053) + 6*sqrt(1053)*-1)**2).\nAnswer: -35400 - 1440*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (39\/(-26))\/((-3)\/2). Let k be (2*-2)\/(c + 0). Let u be 148\/18 + k\/18. What is the highest common divisor of u and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2\/5 (b) -2\/19 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -10*s**2 + 15. Let g(m) = -71*m**2 - 67*m**2 - 77*m**2 + 216*m**2. Give o(g(h)).\nAnswer: -10*h**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*r**2 + 23*r**2 + 17*r**2 to m*r + b*r**2 + g and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -78, 19, 9, 3 in increasing order.\nAnswer: -78, 3, 6, 9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18.597506 and -0.5.\nAnswer: -9.298753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67316652 to the nearest integer?\nAnswer: 8205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8763 or 10030?\nAnswer: 8763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2042133 (base 5) to base 3.\nAnswer: -1201200212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aahhghghhhhhh. What is prob of sequence aggh?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u - 2*u**2 - u**3 + 1797*u**6 - 1757*u**6 - 5*u**2 wrt u?\nAnswer: 4800*u**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c*c**(-2\/23))\/c)\/c)\/c)\/(c\/c**(4\/11)) assuming c is positive.\nAnswer: c**(-436\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = x + 3*d, 63044 = 2*x + 2*d + 63042 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.662 - -1.162. Which is the third biggest value? (a) 0.1 (b) l (c) 12\/13 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 + 111. Solve 20 = 21*u + t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*r + 17 = -0*l, -3*r - 7 = l. Suppose l*m - 42 = -m. Solve -4*w = -5*d + 23 + 5, -2*d + 3*w + m = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 150*b**2 + 3316*b - 19152.\nAnswer: 2*(b - 38)*(b - 28)*(b - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 92421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -9*j - 47. Let u be n(-5). Suppose 0 = -4*o + 8*o. Let m(i) = -1 - 3*i + i + o. What is m(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*n**2 + 326380*n + 14014682.\nAnswer: -34*n + 326380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**7\/840 + y**6\/360 - y**3\/6 + 4*y. Let l(i) be the second derivative of w(i). What is the third derivative of l(z) wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78974 is divided by 950.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -4.6?\nAnswer: 0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6370354241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1164.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 4 (c) 1 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 4*g + 3288 = 12*a, -5*a + 2*g = -4131. Calculate the highest common divisor of 22 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4344 or -4339?\nAnswer: -4344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11943956 divided by -2?\nAnswer: 5971978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3292, -3166, -3040, -2914, -2788?\n\"Answer: 126*m - 3418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -2*q + 36. Suppose -a + 157 = q. List the prime factors of 8\/12 + a\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 60*h + 175.\nAnswer: 5*(h + 5)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by 13.\nAnswer: -83\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q + 8*q - 3*q)*(-175 + 175 + 54*q)*(-4*q**3 + 4*q**3 - q**3).\nAnswer: -648*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.76 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 10*g - 3. Let u = 7 + -19. Does 20 divide v(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 31*c**5\/10 - 9*c**2. Let k(m) = -m**2. Give a(k(h)).\nAnswer: 186*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 351\/585 + ((-494)\/640)\/1. Are u and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1359 is divided by 177.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 2*d**2. Let f be m(2). Suppose 5*h = 3*n - 12, -4*n = h - 16 - 0. Differentiate -1 + f*z + 5*z + h*z + 6 wrt z.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -14*k**5 + 8*k**4 + 10*k**3 - 18*k**2 + 4*k - 10. Let v(d) = -d**5 + d**3 - d**2 - 1. Let w(u) = -c(u) + 10*v(u). What is z in w(z) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**4 + 4*d**3 + d**2 - d + 6. Let q(s) = -s**4 - s**3 - s**2 + s + 2. Let z(h) = q(h) + r(h). Differentiate z(o) wrt o.\nAnswer: 16*o**3 + 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 837? (a) -0.5 (b) -3 (c) -37006\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 - 7*q**2 - 18*q - 52. Let k be x(6). Which is the nearest to k? (a) 1 (b) -2\/7 (c) 2\/7 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 62, 168, 302, 482, 726, 1052, 1478?\n\"Answer: 3*p**3 - 4*p**2 + 97*p - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + 2\/4*-2. Let o = 28 + -30. Sort i, o, 2 in descending order.\nAnswer: i, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, c: 3, r: 8, e: 2}. What is prob of sequence ce?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1492 - -0.0508. What is the closest to 4 in 1, -5, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-2 - -3 - -8). Suppose 73 = l + 75. Let c(m) = -m**3 + 5*m + 5. Let o be c(l). Solve o = 3*p + z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssn when three letters picked without replacement from {f: 1, n: 3, s: 9, p: 1}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s - 21. Let x be g(-10). Suppose x*b + 18 = 3*b. Sort 5, 6, b.\nAnswer: b, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 28. Suppose -m - m + 4*i + 20 = 0, -4*m = 5*i + o. Suppose 0 = -0*r - r + 1. What is the remainder when m is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 4*y - 2. Let d(j) = j**2 + j + 1. Calculate -4*d(k) - 2*s(k).\nAnswer: -2*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, 416, 940, 1684?\nAnswer: 2648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 5. Let z = 2 + l. Suppose z = -5*r + 2*r + 15. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from lrkhlii.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 105239140901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, a: 2}. Give prob of picking 2 x and 2 a.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*(u**(-1\/4)*u)\/u)\/((u\/u**(-7))\/u))**49*(u**1*u*u*(u\/(u**(-2)\/u*u))\/u)\/(u\/u**(-2\/5)*u)**43 assuming u is positive.\nAnswer: u**(-7109\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246091862 is divided by 4101531?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 31. Suppose -c*z + 5 = -31. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 13) in base 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2882 - -2879. Let l be -11*(2\/1 - 8). Let x be u + l\/9 + 4\/(-12). Sort -5, -1, -3, x.\nAnswer: -5, -3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g + 11. Let j(b) = -b - 10. Let p be j(g). Suppose -p*c = 2*c - 36. Calculate the smallest common multiple of c and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 334305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -11664*z**3 + 80*z**2 + 1598. Let y(l) = -3888*l**3 + 25*l**2 + 533. Let p(t) = -5*b(t) + 16*y(t). What is the first derivative of p(n) wrt n?\nAnswer: -11664*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -80, 1.2, 9\/22, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - n - 1. Let y(b) = 42*b**2 + 4*b + 57. Let x(t) = -4*o(t) - y(t). Differentiate x(z) with respect to z.\nAnswer: -76*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3403 and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10375097 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -x + 95, 3*m + 4*x - 110 = 8*m. Let k be m\/(-297)*3 - (-170)\/33. Factor k*j**3 - 1\/3 - 5\/3*j**4 - 6*j**2 + 8\/3*j.\nAnswer: -(j - 1)**3*(5*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**2 - f**2 + 3*f**5 - f**2 + 0*f**2 wrt f?\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2. Let h(n) = n**2 + 1. Let y(f) = f**2 - 1. Let j(q) = -20*q**2 - 8. Let a(r) = j(r) + 4*y(r). Let p(d) = -a(d) - 12*h(d). What is v(p(u))?\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5233.8 + 2227.5. What is v rounded to the nearest ten?\nAnswer: -3010","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 1)\/(0 - 1). Suppose -33 - 219 = 12*w. Let c = m - w. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 4*d + 4*d to the form i*d + n and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 2 - 2 + 4*c + 2*c - 2*c**2. Give y(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1008\/630*(-15)\/12*-3)\/(-8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222 + 232 = 5*p - 4*v, 15 = -3*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2048 (base 10) to base 11.\nAnswer: -15a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 334\/8 - 1\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15327 at most as big as 15568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.064*-299.6.\nAnswer: -19.1744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 1 - 3405*a**2 + 3734*a**2.\nAnswer: 329*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71626985 by -5.\nAnswer: 14325397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -225, -464, -791, -1206, -1709, -2300?\nAnswer: -2979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*r + 68*r + 10 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -24*q. Suppose -2*g + 29 = -0*g - 5*v, 4*v = -20. Let t(o) = 8*o - 5*o - g*o - 5*o. What is l(t(w))?\nAnswer: 96*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -8. Let u = m + -16. Let p(v) = 31*v**2 + 5*v - 3. Is p(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20116 is divided by 313?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 29*o**3\/6 + 5*o**2 - 4*o - 16. What is the first derivative of g(b) wrt b?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19861 = 43*j + 339. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5595, 0.7.\nAnswer: -5595, -3, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -2) + 5 + 296 + -322.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + sqrt(1539) + 1 + sqrt(1539)*-2*-1)*5 + 2*sqrt(1539)*-3 + sqrt(1539) + -5 + sqrt(1539) + 1)*-5 + -1)**2.\nAnswer: 129690*sqrt(19) + 4672636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 12:39 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 56748 and -6929.\nAnswer: 49819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -32c37?\nAnswer: 32c3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*k - 630*k**5 - 935*k**5 - 13*k + 39 + 354*k**5 wrt k?\nAnswer: -24220*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 46.47041t?\nAnswer: 46470410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.449 + -11.349. Suppose 5*r + 2 - 6 = -t, 0 = -3*t + 4*r - 7. What is the nearest to 4\/7 in 1\/7, t, x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 6 = 559*s - 556*s, -s + 2 = 7*f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1*1.153\nAnswer: 1.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210 - 220?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 71*u**2 + 2*u + 1. Let f be d(-1). Let j = -61 + f. Let v(n) = n**2 - 7*n - 6. Is 2 a factor of v(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -5*f**5 - 11*f**3\/6 + 5*f**2 - 40*f + 7. Let j(m) = 20*m**3 + 2*m - 2. Determine -11*j(u) - 2*s(u).\nAnswer: -20*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2701*k**3 + 4*k - 163?\nAnswer: 16206*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 23*i + 95. Let b be y(-4). Suppose 5*l - 1300 + 330 = -2*u, b*l - 5286 = -11*u. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -10101110?\nAnswer: -10101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.11 + 0.29. Let l = -0.4 + x. Let i = -0.1 - 0. Which is the biggest value? (a) 1 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w + w + w + (0 + 2 - 4)*(2*w + 11*w + 9*w) + ((0*w - 3*w + 2*w)*(-1 + 4 - 1) + 2*w - 3*w + 2*w + (4*w - 3*w + w)*(-1 - 3 + 5))*(2 - 3 + 8).\nAnswer: -38*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21366573 and 506125.\nAnswer: 4049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*a - 10, 0 = 4*z - a + 2*a - 13. Let y(t) = 0*t**2 + 0*t**2 - 3*t - 1 + 10*t**2 + 36*t**z. Does 27 divide y(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 18 = 2*c - 4*g, 3*g = -15. Differentiate 0*b - 2 - 3*b + c*b wrt b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 57, 117, 181, 249, 321, 397, 477?\n\"Answer: 2*r**2 + 54*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15307451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*s**2 + 152*s**2 + 2*s - 2*s as d + k*s + w*s**2 and give w.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -120, 41, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -872*p**3 + 873*p**3 - 4*p**2 + 11 + 0 + 52*p in the form s + m*p + b*p**2 + r*p**3 and give m.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, k: 1, z: 1}. What is prob of picking 1 z and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 2. Let i be a(4). Let t = i - -33. Suppose t + 15 = z. What are the prime factors of z?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -9*s**2 - 280*s - 14. Calculate v(-30).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = -2*w, 0 = p + 5*w - 2. Differentiate -45 + v - 1 + p - 57*v**2 - 26 wrt v.\nAnswer: -114*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2467, 4919, 7357, 9775, 12167, 14527, 16849, 19127?\n\"Answer: -v**3 - v**2 + 2462*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 times 1.2?\nAnswer: 218.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/4 - 39*i\/4 - 19\/2.\nAnswer: -(i + 1)*(i + 38)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265, -882, -1903, -3322, -5133, -7330, -9907, -12858?\nAnswer: -16177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**2))\/(b\/(b*b*b*b**(2\/21)\/b*b))*(b\/b**(-2\/5))\/b*(b**(-1\/4)\/b)\/b assuming b is positive.\nAnswer: b**(-737\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145 + -35. Calculate the greatest common divisor of 66 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 3392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -0.9. Let i be 6\/(-30)*2\/(-2). Which is the closest to 2? (a) 4 (b) p (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1001680\/140)\/659*((-7)\/2)\/(-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 972736556?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-32100)\/50076*9\/(-5)\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14815, 14824, 14855, 14920, 15031, 15200?\n\"Answer: 2*n**3 - n**2 - 2*n + 14816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4 - 0. Let o be (-2)\/(-6)*-19*-3 - -3. Suppose -28*t = -o*t - 30. Put 2, b, 3, t in increasing order.\nAnswer: b, 2, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (-5 + sqrt(704))**2 + sqrt(11))*-6.\nAnswer: -4374 + 468*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184548, 368948, 553332, 737694, 922028, 1106328, 1290588, 1474802?\nAnswer: 1658964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 174, 340, 492, 624, 730, 804, 840, 832?\n\"Answer: -g**3 - g**2 + 176*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) -11 (c) 0.4 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 4*d + 33. Calculate the remainder when (-531)\/d - -1*8\/(-28) is divided by ((-2)\/6)\/(2\/(-78)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 - 462*w + 12. Let n(s) = 2*s - 3. Give b(v) + 4*n(v).\nAnswer: -3*v**2 - 454*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j + 39*j + 26*j + 19*j - 27*j.\nAnswer: 66*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126510 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183078323 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 6 - (-2650 - -2739).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 18 + 2 + 29*d + 3 - 22 + 4.\nAnswer: 29*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*d - 2347*d**2 + 405*d**2 + 250*d + 176*d**2.\nAnswer: -1766*d**2 + 334*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 39*z + 59. Calculate w(19).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.03, -147, 15, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009235855 rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2781.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**3*j**3 - h**3*j + 41*h**2*j**4 + 2*h**2*j - 9*j wrt j?\nAnswer: -6*h**3*j + 492*h**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8975371574 and -0.46?\nAnswer: 8975371574.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, -9, 0, 19 in ascending order.\nAnswer: -9, 0, 5, 9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3655*d - 3612*d - 20669 + 20675.\nAnswer: 43*d + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25823\/10 + -2578. Let d = -1\/85 - -1451\/510. What is the common denominator of j and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4363606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0*x)**(-12))**(13\/2)*(((x\/x**(-4\/5))\/x)\/x*x\/(x\/((x*x**(-1\/15)*x)\/x)))**2 assuming x is positive.\nAnswer: x**(-1148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u. Let k(q) = 183*q - 2. Calculate k(r(y)).\nAnswer: -366*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2181 divide 30143872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 - 2*y**3 - 2*y**3)*(-10*y - 1 + 2*y - y) - y**3 + 0*y**3 + 29*y**4 + 2*y**3.\nAnswer: 38*y**4 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 148114, 592334, 1332666, 2369110, 3701666, 5330334, 7255114?\n\"Answer: 148056*z**2 + 52*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 21, -5*b = -65*i + 60*i - 50 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**24)**(1\/20) assuming b is positive.\nAnswer: b**(-23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.058?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 21 + 5*n - 46*n - 4*n. What are the prime factors of y(-2)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3712850?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 19*v - 14 = -23*v, -4*p = 3*v - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 5:38 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/1012)\/(52\/260).\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-4 - 2) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*s = -8, 23 + 13 = 3*l - 3*s. Is l + 1783 + 4 + 6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -156 (b) -29 (c) -1\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61883 and 1781579.\nAnswer: 3257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 4:12 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237196664?\nAnswer: 2, 29649583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -462342422?\nAnswer: 462342430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4638, -9318, -13998, -18678, -23358, -28038?\nAnswer: -32718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11 + -17)*(-2)\/3. Let j = -667 - -947. Suppose -3*u + j = o*u. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4635*m*n*u**2 + 50*m*n*u + 3901*m*n - m*u + 4*m + 1986*n*u**3 + 2*n*u**2 wrt u?\nAnswer: 9270*m*n + 11916*n*u + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5ac5 (base 15) to base 3\nAnswer: -222111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**8\/(k**(-6\/13)\/k*k)*(k*(k\/(k**(2\/15)*k*k))\/k)\/(((k*k\/(k**(-4\/5)\/k))\/k)\/k) assuming k is positive.\nAnswer: k**(1078\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208438, -833752, -1875942, -3335008, -5210950?\nAnswer: -7503768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48))**2 + (4*sqrt(15)\/sqrt(5))**2.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 26\/5 of a second?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 98618, 103745, 112292, 124259?\n\"Answer: 1710*p**2 - 3*p + 96911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 23*b**2 + 3*b + 2. Let h be k(-1). Suppose 5*c - 147 - 18 = 0. Calculate the greatest common factor of c and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 7.1. Let w = m + -1.0812. What is w rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 9*y - 8. Let k be d(9). Let j(z) be the first derivative of 7 - 8*z + 0*z**2 - 1\/3*z**3. Let r(i) = -3. Calculate k*r(t) + 3*j(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9674, -18989, -27942, -36527, -44738?\n\"Answer: j**3 + 175*j**2 - 9847*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -113.37 and 7.7081.\nAnswer: -105.6619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q. Let r(z) = -112*z - 25*z + 19*z. What is n(r(x))?\nAnswer: 118*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-70*h + 46*h - 66*h)*(5 + 0 - 2)*(-3*h + 0*h + h + (1 + 1 - 3)*(-4*h + 4*h + 2*h) - 3*h - 2*h + 3*h) to the form o*h**2 + y + w*h and give o.\nAnswer: 1620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, 3, 1 in descending order.\nAnswer: 3, 1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1080, 4281, 9614, 17085, 26700?\n\"Answer: n**3 + 1060*n**2 + 14*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-142)\/213)\/(1\/((-18)\/8))*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 2*c**2 + 0*c**2)*(0*c**2 + 0*c**2 - 7*c**2)*(0*c + c + 0*c).\nAnswer: 14*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 9*v - 7. Let o be f(-8). Let h be o\/4 + 3\/(-12). Solve 2*q - 2 = -h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 2*l. Let i be g(2). Suppose -23 = -4*k + 5*m, 3*k - m = -i*k + 9. Solve -3*q - 2 = -k*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + 0)*-6)**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29828 + 29834. Let h(q) = -53*q - 4. Let j be h(-2). Calculate the highest common factor of j and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*v**2 - 264*v**2 + 119*v**2.\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -13*b**2 - 17*b - 22. Let r(z) = z**2 - z + 1. Give -l(u) - 10*r(u).\nAnswer: 3*u**2 + 27*u + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1289 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((11 - 7) + 0 + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 10:29 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5192 + -5195. What is the third smallest value in 2\/9, 20, -1\/13, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1148284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3940, -7854, -11746, -15604, -19416, -23170?\nAnswer: -26854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.057211588 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/401 and 44\/233.\nAnswer: 93433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 257309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from {b: 1, y: 1, m: 1, x: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - z + 1. Let j(n) = -1645*n**2 + 2*n - 2. What is -j(m) - 2*p(m)?\nAnswer: 1641*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12949926169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*c**2*g**3 - c**2*y**4 - 4*c*g**3*y**3 - 2*c*g**3*y**2 + 9*c*g*y**2 + 3*y**4 wrt y?\nAnswer: -24*c**2*y - 24*c*g**3 + 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 24. Give x(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -159.88261 to 1 dp.\nAnswer: -159.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 390318559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4 = -x, 5*x + 11*k = 13*k - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**2 + 4 - 3*o - o**3 - o**2 + 4*o**2 + 0*o**2. Does 5 divide w(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1856\/55 - -166\/5. What is the closest to u in -1, 3\/11, 3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2086232304 to the power of 1\/2, to the nearest integer?\nAnswer: 45675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 19. Let p(m) = 6*m - 3. Let w be p(5). Let i = w - -2. Calculate the remainder when i is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-58)\/(-5) + (-6)\/(-15). Suppose 11*u - 80 = 6*u. Suppose -l + 3*c + u = l, 4*l = c + 12. Solve -2*o = -3*h + 5, 0 = o + 4*h - q - l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wiwywwwwysiy. Give prob of sequence ywsi.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 6*b**2 - 3*b + 5. Let s be (14\/(-4) - -4)*0. Suppose s = -5*g + 2*g - 15. What is r(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 365787212 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 4:13 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*8\/(-20)*1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*q + 2853 + 1257, 0 = -4*x - q - 3299. Let i = x + 910. Is 28 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 434334 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 528 = -5*n. Calculate the greatest common factor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l. Let c(y) = 454*y**2. What is z(c(w))?\nAnswer: -1362*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -s + 8, 3*b - 1 = s + 3. Suppose -41 = -2*f + u - 2*u, -5*f + s*u + 116 = 0. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2757*z - 578 = -2723*z for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -14*y + 8. Let s(x) = -x - 1. Let p(t) = 5*s(t) + v(t). Let o be p(-3). Is 10 a factor of ((-27)\/6)\/((-9)\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 774 divide 674211740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1061373055?\nAnswer: 5, 212274611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 30124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d + 3860 - 3860 + 38*d**2. Let a(o) = -o**2. Let x(q) = -12*a(q) + v(q). What is the second derivative of x(h) wrt h?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a millennium in centuries?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 798.2175 microseconds to seconds.\nAnswer: 0.0007982175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r + 0*r - 338 = 1014. Calculate the highest common factor of r and 559.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115a551 (base 11) to base 6\nAnswer: 111142512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - t + (-6*t + 2*t + 3*t)*(0 - 2 + 0) - t + 0*t + 5*t to the form c + z*t and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -46. Let v be 2\/(-1 + -1 + 3). Let n(y) = -3 - y**2 + v*y**2 - 5*y + 1 + 8*y. Determine n(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.97 - 0.03. Let f = -6 + 9. Let i = 4 - f. What is the nearest to -0.2 in y, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-9)))\/l**(1\/6))\/((l\/((l\/(l\/l**(1\/4)))\/l))\/l*l\/(l\/(l**(1\/3)*l))) assuming l is positive.\nAnswer: l**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -1386240000*f**4 + 9703619200*f**3 - 41585923202*f**2\/3 - 1823986*f\/3 - 20\/3 = 0.\nAnswer: -1\/45600, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 1\/3, -4, 380?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l + 7. Let r(a) = -2*a + 6. Let g be (1*9)\/(3\/2). Let o be (-1 + -2 + 13)\/(-2). Determine g*r(i) + o*t(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -37\/3*l**3 + 0*l**5 + 0*l**4 - 9*l**6 - 155 + 0*l + 0*l**2. What is the third derivative of k(g) wrt g?\nAnswer: -3240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526*k + 943 = -3791 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((3\/1)\/3)\/1. What is the derivative of y - 4*v + 2*v + 2 + 0 wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8b7 + 163?\nAnswer: -754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41466 = 5*a + 5*i - 41501, 4*a = i + 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.87784 rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 135*a - 404 + 134. Suppose 3*g = 5*c + 11 - 120, -44 = -2*c + g. Solve -c*y = -24*y + a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**6 - 11*v**2 - 2*v**6 + 3*v**2 wrt v?\nAnswer: -360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(2) - (0 + sqrt(72) + sqrt(72) + sqrt(72) - sqrt(2)))*-4 + (sqrt(80)*-4)\/sqrt(10))*4)**2.\nAnswer: 1605632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*v + 94*v + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a98 + 36?\nAnswer: 2ace","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*q + 15495 = 16244 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 864244*n**4 + 61136*n**2 + n wrt n.\nAnswer: 20741856*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 p when four letters picked without replacement from pwpwhwhkwwwk?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3001956517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -768 = -5*h + 3*h. Suppose -124 - 185 = 4*y + 3*g, -h = 5*y + 3*g. Is y\/(-3) + (0 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -4*a - 28, -302*a + 593*a - 5*g + 46 = 293*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g. Let s be k(0). Suppose -3*b + 12 = -2*v, s*v = 3*b + v - 12. Solve -4*w + 4 = 3*u, 0 = -b*u - 3*w - 3 - 1 for u.\nAnswer: -4","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: Suppose 5*w - 4*w = -44*w - 270. Let o(b) = 3*b - 4. Let r(t) = -2*t + 5. Give w*o(v) - 5*r(v).\nAnswer: -8*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g**2 + 238*g - 2726. Determine a(-35).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*n + 94*n + 9856 = -97*n. What is the smallest common multiple of n and 56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 143430 and 1598100.\nAnswer: 1091502300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008568 rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3*o - 6 = 0, 274*o = 22*s + 277*o - 66 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 8 + 40 = 2*r, -16 = 4*m. What is the remainder when 4\/(-32)*-4*10 - -88 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffsfffffffffffffsff. What is prob of picking 1 f and 1 s?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f. Let m(s) = 2*s - 5. Suppose -12*l = -10*l - 6. Let n be m(l). Give g(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -134 + 146. Suppose y = 233*w - 230*w. Solve -7*m**2 - 3\/2*m**w + 2*m - 13\/2*m**3 + 4 = 0 for m.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - q)*(-1 - 3 + 3) + 376 - 376 + 102*q in the form i*q + t and give i.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40803835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Suppose -10 = -4*l + q*l. Solve -l*h = -0 + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 4, -8, -2, 5, 1, 795 in descending order.\nAnswer: 795, 5, 4, 1, -2, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 55*o**2 + 43*o - 6. Determine j(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010210110 (base 3) in base 16?\nAnswer: -f177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 915 is divided by 42.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + d = -8*o - 70, 3*o + 4*d - 43 = 0. Let j(q) = 6*q**3 + 17*q**2 - 17*q - 20. Let a(n) = 2*n**3 + 6*n**2 - 6*n - 7. Determine o*a(r) - 6*j(r).\nAnswer: -2*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 12 = 3*m, 854*y = 857*y + 5*m - 24 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5124 - -5?\nAnswer: 5133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3710+-71\nAnswer: 3639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -3\/2*y**2 - 4\/3*y**3 + 1\/6*y**6 + 4\/5*y**5 + 0*y + 1\/2*y**4 - 31. Determine i, given that p(i) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 19. What is the closest to 1\/3 in 2, v, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.06 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a factor of 1798008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-112)\/(-20) - -3) + (-6 - -5). Does 1\/4 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f*f**(12\/11))\/f)\/f)*f)\/(f**(-10\/7)*f)*(f\/f**(-2\/13)*f)\/(f**(-16)*f) assuming f is positive.\nAnswer: f**(19511\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4829 or -4830?\nAnswer: -4830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, -0.4, 0.4, -49?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008749 rounded to 7 dps?\nAnswer: -0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 155\/((3450\/(-12))\/(-115)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(19)*3 + (sqrt(228)*-2 - sqrt(228))\/sqrt(12) - sqrt(76)\/(sqrt(576) + sqrt(576)*5))*5.\nAnswer: -4325*sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1677*y - 39*y - 58968 = 0 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -11 + 0 - (-6 + 12 + -13)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/2)\/v*v)\/(v\/(v*v**(-3)))*(v\/v**(1\/4))**26)\/((v\/v**(-4))\/((v*v**(7\/5)*v)\/v)*(v**0)**(1\/54)) assuming v is positive.\nAnswer: v**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3 + 26*o + 3. Let x(m) = -m**2 - 6*m - 3. Let n be x(-5). Let b(t) = 0*t**2 - 4*t**2 + t**2 + 2*t**n. Give b(c(s)).\nAnswer: -676*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28487656 a multiple of 808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 3*d**2 - 2*d - 7. Is c(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -6. Let m(s) = -19*s**2 - 15*s + 2. Let v(g) = -44*g**2 - 34*g + 5. Let q(n) = -7*m(n) + 3*v(n). What is q(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t. Let k(s) = -5*s + 16. Let u(x) = -2*b(x) + k(x). Determine u(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 5*r + 112. What is v(20)?\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l + 2. Let p(g) = 2*g + 1. Let y(w) = 5*h(w) - 7*p(w). Let t be y(-5). Let a be (0 - t) + 1*2. Solve z - a = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 104117*p**3 + 5*p**2 + 11670 wrt p?\nAnswer: 312351*p**2 + 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*i - i - 45, 2*i + 3*p = 15. Calculate the remainder when 134 is divided by 6\/i - 146\/(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 - 1978*p + 137540\/3.\nAnswer: -2*(p - 23)*(p + 2990)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 29. Let k = y - 8.9. Let f = 3.1 - k. Which is the nearest to -0.1? (a) 2 (b) -2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r - 7 = 32*r + 3*x, -12*r + 2*x + 90 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a tonne in kilograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**8\/4032 + v**7\/630 + v**6\/240 + v**5\/180 + v**4\/12 + 2*v. Let j(p) be the third derivative of y(p). Factor j(r).\nAnswer: (r + 1)**2*(5*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20025313 (base 6) to base 15.\nAnswer: b2026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(5 - 2) + 2. What is the closest to i in -2\/21, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4494 + 4494 - 991*i to b*i + a and give b.\nAnswer: -991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -154*a - 64.\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -16*l - 1. Suppose -39 = -5*i + 66. Suppose 2*n = -3*b - 3, 0*b + 5*n = 2*b + i. Is r(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 11 - (-36 - (-16 - 27)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**4*x + 632*j**2*x - 3*j*x + 3*j + 13*x + 3 wrt j?\nAnswer: 24*j**2*x + 1264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*n = 199*n - 375*n + 216 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1833 - 4503 = 8*a. What is the remainder when (a\/(-27))\/11*426\/8 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 677.98 - 678. Which is the biggest value? (a) -1\/4 (b) 2\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 3\/5, 1 in decreasing order.\nAnswer: 1, 3\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*j + 15*j + 22*j + 12*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 5) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58336787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = 37*f - 18*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 265\/2686 + 3\/158. Let t be ((-4)\/6)\/(3\/((-27)\/2)). Which is the closest to t? (a) -3 (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 2*p. Suppose -3*n + p + 0 = 0. Is n + (1 - 1 - -87) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7\/4, 3\/5, -5, -10, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7*l = 0. Suppose l = 4*t - t + 279000. Round t to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202275 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 102, 101, 100, 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003939 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**5\/4 - 25*h**4\/12 + 173*h**3\/2 + 2356*h. What is the second derivative of n(m) wrt m?\nAnswer: 30*m - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 191*r - 41629. Calculate j(218).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -542\/91 + 70\/13. Let d = k - -43\/63. What is the third smallest value in -4, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83 by 2.\nAnswer: 83\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/19)\/(3\/(-15)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 138*v**2 - 4*v + 23. Let p(u) = -18*u**2 + u - 2. Let x(z) = 8*p(z) + t(z). Let g(o) = -o**2 + o + 1. Let k = 0 + -4. What is k*g(c) + x(c)?\nAnswer: -2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18305, 18293, 18273, 18245, 18209, 18165, 18113?\nAnswer: 18053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**15\/(j\/j**(-4)) assuming j is positive.\nAnswer: j**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 2793*w + 2793*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**2 - 26906772*s + 60331198288332 = 0.\nAnswer: 4484462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 6*u**2 + u - 8. Let t(g) = -3*g**3 - 17*g**2 + 3*g - 23. Suppose 1772 = 18*s - 658. Let q = 141 - s. What is q*t(w) - 17*h(w)?\nAnswer: -w**3 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175 and 7325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (34 - (39 - 22))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 + 9*n - 20. Give r(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -119 + 835\/7. Which is the nearest to -0.1? (a) 10 (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmym when four letters picked without replacement from {y: 4, x: 1, m: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14 - -12)*4*2. Let m be ((-8)\/d)\/((-1)\/(-22)). What is the greatest common divisor of m and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13900272 and 48?\nAnswer: 13900272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c*n**3*x**3 - 161*c*n**3*x + 3*c*n**2*x**2 - 6*c*n**2 + c*n*x**3 + 5*c*x**2 + n**2*x**3 wrt n.\nAnswer: 24*c*x**3 - 966*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 3. Let r = -3.4 - x. Which is the third smallest value? (a) r (b) 1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 0*m**3 + 47\/12*m**4 - 2 + 7\/10*m**5 - m + 0*m**2. What is the third derivative of k(y) wrt y?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/23, -9\/800, 0.2?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, n: 7}. Give prob of picking 2 m and 1 n.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 490, 3395, 8496, 15793?\n\"Answer: 1098*w**2 - 389*w - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1 (b) 1 (c) 0 (d) -2 (e) 4.4 (f) -6 (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 - 50. Let l(q) = 4*q**2 + 32*q + 11. Let j be l(-8). Let a(v) = v**2 + 7*v - 9. Let d be a(j). Calculate the highest common divisor of d and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 377642, 377611, 377578, 377543, 377506, 377467?\n\"Answer: -z**2 - 28*z + 377671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23300 + -12120?\nAnswer: -102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 754 and 4321?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 - 72. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -6*r - 4. Suppose -r*c + 2 = -18. Calculate the highest common divisor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 113 - 59 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + -4*(-49)\/28. Sort c, 0, 17, -5 in ascending order.\nAnswer: -5, 0, c, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 8*a**2 - 19*a + 11. Let t be j(-10). Let n be (-20)\/(-70) - (-674)\/(-2408). Which is smaller: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-42) + 196\/(-42)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-13)\/(-351) - 8\/(-126)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/20 and ((-92)\/(-128))\/(2\/(-4)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*p + 17*p - 8. What is the remainder when 26 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -788, -1564, -2326, -3068, -3784, -4468, -5114, -5716?\nAnswer: -6268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (1 + -8) - 5. Let i = 1\/2 - h. Which is the smallest value? (a) 3 (b) i (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**3\/6 + 784*w**2\/3 + 307328*w\/3 = 0.\nAnswer: -784, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (44 + (-18)\/(270\/195) - -16)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -5*n - 20, -2*n + 9*u - 5*u - 8 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2, -5, -0.02, -3\/5 in ascending order.\nAnswer: -5, -2, -3\/5, -0.02, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14 - (18\/4 + (-48)\/(-32)). Calculate the highest common divisor of 736 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -0.246729.\nAnswer: -0.746729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 5*l - 6. Let h be p(6). Find the common denominator of (-214)\/(-36) - (-8)\/h and -139\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134 - 89. Calculate the greatest common divisor of q and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 46*u**2 - 6717*u + 6718. Let q(t) = -2*t + 6. Let m be q(-6). Let j = m - 13. What is the remainder when d(1) is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -954058*x**5 - 2*x**3 + 2*x**2 + 371280.\nAnswer: -57243480*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(136)\/(sqrt(16)\/sqrt(2)*5) + 5*(((sqrt(85) - (sqrt(85) - -1*sqrt(85)))\/sqrt(5) - sqrt(17)) + sqrt(17)) + 5 + -1))**2.\nAnswer: -960*sqrt(17) + 10192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(178*g - 135*g - 145*g + (0 - 4 + 3)*(3*g - 4*g - g)).\nAnswer: 100*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o - 3870 = -18*o. Suppose -v - o = -2*v. What is the derivative of -392 + v - 18*c**3 - 397 wrt c?\nAnswer: -54*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2 + 4 - 2 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2 - p + 2. Let o(f) = -56*f + 248*f**2 + 276*f**2 + 58*f - 736*f**2 + 249*f**2. Give a(o(w)).\nAnswer: -37*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -1 + 2 - 1201. What is a rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128203832 - 0.6?\nAnswer: -128203832.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -1.1. Let h = -4 - -8. Let s = 1.2 - 1.6. What is the nearest to 1\/2 in h, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528898 = -23*l + 464725. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1389 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 298*d + 4266. What is w(15)?\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**6\/120 - w**5\/15 + w**4\/12 + 2*w**3\/3 + 11*w**2. Let x be v(3). Solve 1\/2*z + 1\/2*z**2 - x = 0 for z.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-6))\/(2\/(-3)). What is the units digit of 3*((-2)\/(-6) - t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*j - 4*j + 506 = 121. Solve -36 = -j*q - q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 272 = 4*d - 56, -l + 5*d - 91 = 0. Let k be 1 + (l\/12)\/((-11)\/(-3)). Is k < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 7 (b) -0.5 (c) -0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52625, 52623, 52621, 52619, 52617?\nAnswer: 52615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 66 + 126\/(-9) + 4*2?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55946.8 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 g when three letters picked without replacement from {b: 4, j: 4, f: 3, g: 5}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*a + 74 = 77 - 183 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7) + sqrt(14)\/sqrt(2))*-2)**2 - -3*sqrt(28)\/sqrt(4) - (sqrt(21)\/sqrt(3)*-5 + (sqrt(28)\/((sqrt(4) - sqrt(16)\/sqrt(4)) + sqrt(4)))**2))*1.\nAnswer: 8*sqrt(7) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -49, -68, -91, -118?\n\"Answer: -2*i**2 - 13*i - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 <= 206490\/19099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 69084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6*j - 300 = 0. Let o be (81\/3)\/(3\/2). Suppose j = 2*f + o. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0432, -1\/32, -3 in descending order.\nAnswer: 0.0432, -1\/32, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 + 14 = 6*m. Solve 3*b - 9 = 2*b - w, -5*b + 3*w = -m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + 3*-2*sqrt(1331) + (6*(sqrt(176) - (sqrt(176) - (3*sqrt(176) - sqrt(176)))) + 1)*-4)**2.\nAnswer: 3612*sqrt(11) + 732253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3989520 or -3989495?\nAnswer: -3989520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (281 - 15)\/7 + 10. Suppose 2*f + f - 18 = 0. Calculate the highest common factor of t and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n - 2*n + n)*(-1 + 53 + 41 - 3 - 1 + 3 + (3 + 1 - 5)*(-1 + 4 - 5)) in the form g + a*n and give a.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - t - 5. Let p be o(0). Let b = p - -5. Suppose h = g - 1 - 5, -5*h - 5 = b. Solve -4*n = -4*r + 8, 0*r + 22 = -g*n - r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35964026?\nAnswer: 2, 7, 139, 18481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -6593*d**2 + 1876*d**2 - 3019*d**2 - 6537*d**2 as m*d + o + l*d**2 and give l.\nAnswer: -14273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y**2 + 830*y - 184 = 0. Calculate y.\nAnswer: 2\/9, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -43. Let d be ((-2)\/(-8))\/((-9)\/8). Which is the second smallest value? (a) 0.2 (b) d (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -15*u + 190*u**2 - 52 + 183*u**2 - 374*u**2. Let t be d(-8). Solve -3*g - t*a + 4 = 0, 2*g - 1 = 4*g - a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -14.6. Let m = -16 - -14.9. Let o = v - m. Which is the second biggest value? (a) o (b) -9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3887*l + 15. Let n(w) = -5*w + 172. Let t be n(34). Is r(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9b4 + -81c?\nAnswer: -1503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -274 and 3.2.\nAnswer: -876.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -9, -5\/64, -7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.7153 millilitres in litres?\nAnswer: 0.1407153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4331 a factor of 45510148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1032*a**2 - 763*a**2 + 254*a**3 - 768*a**3 + 253*a**3 + 256*a**3.\nAnswer: -5*a**2*(a + 359)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 444 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + -0.4. Let g = h - -1.2. Let d = g + 2.4. What is the biggest value in 5, d, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00035237 to 6 dps.\nAnswer: 0.000352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51 + 457536?\nAnswer: 457587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 200\/(-48)*48\/(-30) + -5. Which is the closest to -0.1? (a) 12 (b) n (c) 5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.061 and 5?\nAnswer: -0.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from jzzjjjzzzz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 10 = 22*o + 3. Solve 39*f - 52*f = o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 - 6.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/20903 - -1191407\/1337792. Let f = 46937\/24 + -1954. Find the common denominator of r and f.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(((r**(-17)*r)\/r*r)\/r*r)\/r*r*r**(-1\/27)\/r)\/(r**(-2))**35 assuming r is positive.\nAnswer: r**(1457\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 (base 11) in base 8?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3e (base 15) in base 5?\nAnswer: -33214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/12 - 2\/3. Let j = -3 - -3.1. Sort 0, j, w.\nAnswer: w, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015714 to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44020 - 29799. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2\/4 + 185*d\/4 + 46 = 0.\nAnswer: -184, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 7, -2, 44.5, 0.66?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 8 = -4*k, 29*d - 213 = -3*k + 31 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105 by 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3701 + 17.9999. Let j = s + -0.37. Which is smaller: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g**2 + 17*g**2 + 19*g**2 + 12*g**2 to z*g**2 + a*g + i and give z.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 4. Let j be o(-4). Let p be (-101877)\/10*j\/50. Let r = 815 + p. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*l**3*t**2 - l**3 + 7*l*m*t**2 - l*m + l wrt t?\nAnswer: 12*l**3*t + 14*l*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7305 + 112?\nAnswer: 7417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -227 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 3*g = 18, -g + 0 + 2 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*22*(-1)\/(-4). Let p = -7 + -1. Let g = x - p. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 228 - 184. Suppose 5*p - 61 = t. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77070716 to the power of 1\/2, to the nearest integer?\nAnswer: 8779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37717566617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 141449684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, u: 1, k: 4, a: 5, c: 5}. Give prob of picking 2 a.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 9489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 332395 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/175, -1, -0.4, 2, 5\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -395286598*l**6 - 85*l**2 + 2*l + 571180 wrt l.\nAnswer: -47434391760*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 35433713 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3973 is divided by 173?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 2*u + 975 = 7*q, 3*q = 5*u + 2923. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*y + 25, -5*i + 13 = -4*y + y. Suppose -4*v = -i*o + 747, -2*o - 30*v + 282 = -26*v. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -h + 6003, -4*h - 9 = -7*h. Do -1200 and m have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 (base 16) in base 10?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1202304343 and 2.65?\nAnswer: 1202304340.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 945539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 4*r + 7 = 0, -4*y - 5*r - 3 - 6 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0607 + 405.0607. Let d = -405.1 + z. Let m = -0.2 + -0.3. What is the nearest to d in -4, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 3429.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 - 84. Let s(g) be the first derivative of 2\/3*g**3 + 0*g - 1 - 1\/2*g**2. Let b(k) = -3*k**2 + k. Determine p*s(j) - 3*b(j).\nAnswer: j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 15, l: 5}.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4536153128 - 4536153848.9999818. Let g = -721 - z. Round g to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**7\/14 - 4*l**6\/5 + 37*l**5\/20 + 25*l**4\/4 - 12*l**3 - 1129*l**2. Solve g(o) = 0.\nAnswer: -1, 2\/5, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.584192 rounded to one dp?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1702, 1749, 1870, 2101, 2478, 3037, 3814, 4845?\nAnswer: 6166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5199.\nAnswer: 3, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/14*70\/20?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + y**2 + y. Let p be ((-7)\/14)\/(1\/2). Let r be u(p). Solve r = 2*n + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11, 37, 109, 251, 487, 841, 1337?\n\"Answer: 4*g**3 - g**2 + g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 3 (b) -2\/27 (c) 2\/5 (d) 29\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132 - 35*w + 1309*w - 132 + 388*w to the form l + c*w and give c.\nAnswer: 1662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30049903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156, -348, -540, -732, -924?\nAnswer: -1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 4*i + 1. Let p be f(-4). Let j = 4 - p. Suppose -20*z**2 + 2*z + 3*z**5 + z + 14*z**2 + 3*z**4 + j - 6*z**3 = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1540)\/35 - (0 - (-9)\/(-18) - (-7)\/2)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -471 - 501. Let y be (0 + 1)\/(3\/w). Suppose -q = k - 3*k - 12, -4*q = -5*k - y. What is the fourth smallest value in 0, k, -0.4, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - 14\/(-10) - 1290\/(-25).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 + 29*i**2\/2 + 769*i\/4 - 207.\nAnswer: (i - 1)*(i + 23)*(i + 36)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*i - 16. Suppose g = 68 - i. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2652529464 a multiple of 1226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 69279?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30566\/9 - 3396. Which is the closest to 0.2? (a) -120 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 15) to base 11.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3) + (-129)\/9. Let u = -13 - s. Which is the biggest value? (a) 1\/6 (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106 and 2362.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/1)\/(1\/3*9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -27495*h - 907345. What is l(-33)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-20)*(-1)\/(-1) + 0. Let v = -0.2 + 0.2. What is the closest to v in -3, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -545823709 take away -1044?\nAnswer: -545822665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3606 - -5119. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 2*t - 6028 = 0. Suppose 0 = b + 2*i - 168 + 2, 4*i = 3*b - t. What is the lowest common multiple of b and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.607 + -1.393. Sort -2.33, t, 3.\nAnswer: -2.33, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -13, -16, -17, -16, -13, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 19 = -4*q + 2, 21 = q - 15*h for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(-2*sqrt(10)) - sqrt(108))**2.\nAnswer: 507\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 - 2*s - 2. Let w be j(-2). Let b(a) = -15*a + 59. Let d be b(8). Let t = 79 + d. Calculate the highest common divisor of w and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2205145 + -100?\nAnswer: 2205045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (41*w + 126*w - 59*w)*(-4 + w + 4) as r + x*w**2 + d*w and give x.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 57531263 - 0.04?\nAnswer: 57531262.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 5, -21.708, 1\/8?\nAnswer: -21.708","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (316\/(-1))\/(-4) - -3. Let v = h + -17. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 24 + 16 = 8*f - 4*f, 226*o = 4*f + 916 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**5 - 6*g**5 + g**5 + 0*g**5 + 6*g**5 - 2*g**5 + (2*g**2 - 5*g**2 + 2*g**2)*(1 - 1 - g**3).\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1630 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 202273261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, m: 3, d: 3}. What is prob of picking 2 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -610.529 + 0.029. What is a rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*4\/(-6) + 0. Suppose 4*z = 12, 2*n - w*z - z - 1 = 0. Solve n*q + 15 = -5*a, q + 8 = 4*a - 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p\/(p**16\/p))*p**(-2\/37) assuming p is positive.\nAnswer: p**(516\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -4*d - 9, -61*n = -133*d - 65*n - 492 + 97 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -14016*k - 560656. Give o(-40).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-2)\/(7\/((-154)\/55))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22646 and 1222?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -146, -319, -550, -833, -1162, -1531?\nAnswer: -1934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 divided by -7?\nAnswer: 142\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -15*r - 55. Let w(m) = -16*m - 55. Let i(h) = 3*a(h) - 4*w(h). List the prime factors of i(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 9:29 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*l - 18*l = 336*l + 5544 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5593403723 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/3)\/t**(-24) assuming t is positive.\nAnswer: t**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42299 is divided by 670?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -635, 3, -4, 0 in ascending order.\nAnswer: -635, -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 67370 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-81)*296919\/(-34562)?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -18, 2\/5, 12.6?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2973*c**3 + 2840*c**3 - 5841*c**3 + 2*c.\nAnswer: -28*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1, 18, 3, -23, -0.0189?\nAnswer: -0.0189","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 450682 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 141 = 3*x, 7*z - 5*z + 5*x - 88 = 0. Factor 2*b**2 - 62*b - 6*b**2 - 2*b**2 - z*b + 3*b**2.\nAnswer: -3*b*(b + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 - d**5 - 44*d - 1 + 44*d + (-2*d**4 - d + d)*(-d - 3*d + 3*d) - 6*d**5 + 2*d**5 - 3*d**5.\nAnswer: -6*d**5 + d**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 873385766 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 28041412.35 to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 4*v**2 + 107*v + 3. Let q be b(12). Let c = 219 - q. Calculate the greatest common factor of c and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 700.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18*29\/348*2\/(-30)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 9*g**2 - 5*g + 11. Give r(6).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10101 (base 2) to base 16\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39379461?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1362527 is divided by 513.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00145843421 rounded to five dps?\nAnswer: -0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 787523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3, -23, -95, -237, -473?\n\"Answer: -4*c**3 + c**2 - c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 5*l = -10, -4*q - 363*l + 365*l = 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12002264*s**2 + 9798180 wrt s?\nAnswer: -24004528*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84 + 133. Let a = -37 + n. What is a rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 0*w + 0*w. Let m(a) be the first derivative of 3\/2*a**2 - 1 + 0*a. Give m(d(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**6\/120 + z**5\/10 + z**4\/8 - z**3\/6 - 17*z**2 + 2*z - 27. Let g(h) be the first derivative of t(h). Calculate g(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.31623 weeks in days?\nAnswer: 373.21361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 > 887\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1659 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-10)\/s)\/s)\/s)\/s**(-2\/43) assuming s is positive.\nAnswer: s**(-557\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a - 6. Let q be j(4). What is the third derivative of -3*g**2 - 3*g**5 + q*g**5 - g**5 + 2*g**2 wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*j + 118*j + 1 - 1. Put -4, 5, j in increasing order.\nAnswer: -4, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10839766 divided by 38.\nAnswer: 285257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + (-33)\/(-16))\/((-1320)\/(-352)). Let d(j) be the second derivative of 0*j**3 + 19*j + b*j**5 + 0 + 0*j**2 + 1\/18*j**4. Factor d(u).\nAnswer: u**2*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 9 - 7. Let x be 285\/25 - m\/10. Suppose -4*w + o = -17, 2*w + 1 = 2*o + x. Solve 4*t + 1 = 2*n + 3, w*t = -3*n + 17 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528 is divided by 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 0 + 1\/12*b**4 + 0*b**3 - 2*b - 1\/2*b**2. Let q(u) = -10*u**2 + 11. Give -2*q(p) - 22*v(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*j = -9224, -3*j = 31*i - 30*i - 2290. What are the prime factors of i?\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87127794?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 142, 165, 190, 217, 246, 277?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 721337 is divided by 4684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98 or -95?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10856 (base 15) to base 2\nAnswer: 1100110100011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (56259\/(-564))\/(303\/404)\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w**2 - 2*w**2 + 4*w**2)*(-233 + 52 + 7 - 217) to v + y*w**2 + z*w and give y.\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 3288.\nAnswer: 9864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*v - 12 - 12 = 0, -2*v - 34 = -5*g. Let n(j) = j**3 - 6*j**2 + 5*j + 8. List the prime factors of n(g).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1837423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, -5, -6 in descending order.\nAnswer: 6, 3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {q: 1, z: 5, j: 2, d: 9, k: 1}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318727029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/8 (b) 1\/3 (c) 2 (d) 8 (e) -9768 (f) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/132)\/(160\/180*(-6)\/(-32)).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4002098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 0.2, -54 in descending order.\nAnswer: 0.2, -3\/2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005151633 rounded to 4 decimal places?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2448)*4)**2 + -3)*-6 + sqrt(2448) + -2 + 2 + (3*(0 + sqrt(2448)))**2 + -4)*-6.\nAnswer: -72*sqrt(17) + 1277772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4\/7 - 58*a**3\/7 - 328*a**2\/7 - 440*a\/7 = 0.\nAnswer: -22, -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 6 + 6)*((3 + 0 + 2)*(5*c - 3*c - c) + c + 0*c - 2*c + (-1 + 4 - 1)*(c + 2*c - c) + 4*c + 0*c - 2*c - 1 + c + 1 + 1 - 1 - c - 2*c + 3*c - 4*c).\nAnswer: -35*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14\/28475 - 117003859\/170850. Let p = -676 - r. What is the common denominator of p and -73\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 43005, -2\/15?\nAnswer: 43005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14d2c70 - -5?\nAnswer: -14d2c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -11270000 to the nearest one hundred thousand.\nAnswer: -11300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Let f = 8\/17 + 1\/34. Sort 0, t, f.\nAnswer: 0, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 2. Let s(u) = -2*u**2 + 6. Let d(g) = -6*c(g) - 2*s(g). Let z(a) be the second derivative of -7*a**3\/6 - 2*a. Give d(z(f)).\nAnswer: -98*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3468, -3469, -3470, -3471, -3472, -3473?\nAnswer: -3474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(36)\/sqrt(3))\/(3*sqrt(64) + sqrt(4)).\nAnswer: 3*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13536 and 804?\nAnswer: 906912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*p = -93, 2 = p + 1. Suppose -4*h + 2*w + z = h, -h - 14 = 4*w. Let c(f) = f**2 - 2*f**2 - 3*f**2 + h*f**2. Let u(a) = -a. Calculate c(u(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -820*y**3\/11 - 39579*y**2\/11 - 10523*y\/11 - 48 = 0.\nAnswer: -48, -1\/5, -11\/164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 6\/(-18) - (-73)\/(-201). Let w = v - -2\/67. Let o = 3694\/13 + -284. What is the biggest value in o, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77*0.1442441.\nAnswer: -11.1067957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imxx when four letters picked without replacement from {m: 1, x: 3, i: 3, r: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 5 - 3*r**3 + 9 - 6 as y + v*r + n*r**3 + a*r**2 and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 93*s + 2077. What is z(33)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -41*b**2 - 651*b + 2912. Calculate l(5).\nAnswer: -1368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -18*b**4\/17 - 393898*b**3\/17 - 2154786172*b**2\/17 + 1676270632*b\/17 + 478909456\/17 = 0?\nAnswer: -10942, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3211 is divided by 166?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 430 + 318 = 2*z, 3*f + 733 = 2*z. Suppose 5*n = -31 + z. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 + -273 + 95 - (-4 - 8*1\/(-2)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 3 (b) 2 (c) 1\/6 (d) -5 (e) 4.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 + 21?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 10 = -5*i + 6*c, 2*c = -3*i + 19. Suppose -4*s + 9 = 3*m, 6*m + i*s = m + 4. Let l = -22703 - -22700. Put 1, l, -2, m in descending order.\nAnswer: 1, m, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in -1, 5, 8, -1\/18, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.9 + 18.5. Let c = v + -19.1. Let j = c + -9.30000039. Round j to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, a: 5, x: 7, w: 1}. What is prob of picking 2 a?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 4*l**2 + 4*l - 14. Let m be j(4). Let p(b) = -22 + 22 - 2*b**m. Let z(x) = 36*x**2. Determine p(z(v)).\nAnswer: -2592*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**4\/12 + 2*b**3\/3 + b**2 - 4*b. Determine l(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -6*y**2 + 512*y + 1048 = 0.\nAnswer: -2, 262\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 2*j + 3. Let h be t(-2). Let o = -6 + 11. Let x(y) = -4*y - 5. Let g(z) = -5*z - 6. Let i(n) = o*g(n) - 6*x(n). Give i(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 870187706 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = v + 4*d, 3*d - 75 = -v - 34. What is the remainder when (-956)\/(-14) + 2\/(-7) is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 816 and 2397.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - c**2 - 3*c + 2. Let z be o(2). What is the second derivative of z*a + 3*a + a**2 - a - a wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u**2 + 39*u - 2. Let i be b(-8). Suppose 3*a + 3*z - 33 = i*z, 3*z = -9. Solve -7*w = 1 - a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*j + 27, 24 = 3*k - 2*j + 5*j. Suppose -s - 1 = -k. Suppose 16 = -4*d, m - 2*m + 13 = s*d. Calculate the remainder when 83 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*q - 12 = -43*q. Calculate the least common multiple of 46 and q.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-10 + (17 - -9) + -10 - -50).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 652\/13 + 4\/(-26). Let l = 4862 + -4852. What is the highest common divisor of o and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384703.\nAnswer: 11, 41, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 513 - 152. Let b = 361 - f. Solve d + 3 = b, -3*v + 2*v - d = 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/21 - 3)\/((-8556)\/1227786).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b + 204. What are the prime factors of b?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158943 + 12*z + 16*z + 12*z - 42*z.\nAnswer: -2*z + 158943","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 270*0.47\nAnswer: 126.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -331 + 1325\/4. What is the closest to 0 in -4, h, 7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3))**(-7)\/(j**(2\/11)*j)**(-12) assuming j is positive.\nAnswer: j**(545\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 22222?\nAnswer: -22212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125c (base 15) to base 16.\nAnswer: f48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-137 - -139) + (1 - 2 - 12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1082 + 1081. Put r, 0.4, 7 in decreasing order.\nAnswer: 7, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 2 = -n. Let w = 15 + -7. List the prime factors of -1 + w - n\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -ccb04?\nAnswer: ccb08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16430 + -16438 + 22\/2 + 0. Factor -1\/5*h**s + 0*h**2 + 4\/5*h + 0.\nAnswer: -h*(h - 2)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80*-0.601.\nAnswer: 48.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7 + 3 + 0 + 22*o. Suppose -186 = 3*l - 198. List the prime factors of h(l).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10163\/121 + 923\/11. Calculate the common denominator of 57\/44 and a.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 8, r - 31 - 43 = -4*o. Let i(v) = 20*v - 1. Let n be i(1). What is the highest common factor of o and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 3461314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, t: 3, a: 1, d: 1, w: 1, s: 5}. Give prob of sequence ds.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -19\/6 (b) 0 (c) -15 (d) 0.1 (e) -2 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*i + 104 + 20*i**3 - 23 - 14*i**3 - 7*i - 12*i**3 wrt i.\nAnswer: -18*i**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -68*k**2 + 0 + 1\/660*k**6 + 0*k**3 + 0*k - 7\/330*k**5 + 0*k**4. Factor l(f).\nAnswer: 2*f**2*(f - 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6*z**(-2\/7))\/(z**(-2\/5))**(32\/3)*(z\/z**(-1))**(1\/35)*(z*z**(-1))**(-35) assuming z is positive.\nAnswer: z**(1054\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -561871, -561918, -561965, -562012?\n\"Answer: -47*p - 561824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4120*n + 6653*n + 65767 + 190066 = 0 for n.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fffefffffffffffffff.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*o = -201, -14*d + 2*o + 414 = -10*d. List the prime factors of d.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17693 take away -8338974?\nAnswer: 8356667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (135\/25 - 5)*-2. Let j = -36.1 + 36. Let a = -25 + 27. What is the third biggest value in a, w, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*b + 4*p - 17, 4*p + 38 = 3*b. Suppose 2 - b = 2*s. Does 17 divide (6\/4 + s)*-52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0861 and 177.3735?\nAnswer: 15.27185835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*a = 200*a + 261. Calculate the greatest common factor of 1521 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*o + o. Let z = 504 + -506. Put z, 0, o in decreasing order.\nAnswer: o, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**2*v**4 + 2*d**2 + 8*d*v**5 + 32*d*v wrt v.\nAnswer: 36*d**2*v**2 + 160*d*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*y - y**3 - y**2 - 31 + 9 + 89*y + 2*y**3 to the form u + c*y + i*y**3 + j*y**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q**3 + 44 - 25 - 19.\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*l - 33111 - 11049 = 917*l + 329*l for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = 15241014 + 5073986. Round v to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/20 at least as big as 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -119, -218, -383, -614, -911, -1274?\n\"Answer: -33*t**2 - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9582a + 209?\nAnswer: 95a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1431.4 or 9?\nAnswer: -1431.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 6:24 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43\/124 + -3\/31. Let b = 2.32 + -0.2. Let m = b - 0.12. Is m greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 1, 501, 2176?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w - 19*w = -14349. Let x = w + -2721. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*s - 40*s + 1 - 2*s**4 + 96*s to the form p*s + g*s**2 + i*s**4 + r + u*s**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/9)\/k*k**(-3))\/(k**(1\/5))**(-20) assuming k is positive.\nAnswer: k**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + w**3 + 7*w**4 + (4*w**4 + 0*w**4 - 3*w**4)*(2 - 2 - 5) + (-2*w**4 - w**4 + 2*w**4)*(-5 + 0 + 1).\nAnswer: 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005385300917 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 2*h - h)*(-7*h + 17 - 17).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 + a + 2. Let o(u) = -u**3 + u**2. Suppose 0 = s + r, -4*r + 243 - 225 = -5*s. Calculate s*o(y) - z(y).\nAnswer: 2*y**3 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 37490 - 7802 = 0. List the prime factors of f.\nAnswer: 2, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95917 times 8?\nAnswer: -767336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6ddd8 (base 16) in base 14?\nAnswer: b9dd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -5. What is the remainder when 27 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 2:55 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nrnrnnrrrnnrn?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 10 + 6 + 2*z**3 - 18*z**2 as u + y*z + i*z**2 + l*z**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q - 216 = -5*r, q - 4*r = -215. Let h = -26 + 11. Let k be h\/20*(1 - q). What is k rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2 + 5*v + 4. Suppose 4 = -5*x - 6. Let o be a(x). Let s be o + (-1 - (-3 - -4)). Solve -5*f + 3*l = l, 16 = 2*f - s*l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-942)\/2198)\/(5\/21*(-22)\/10)\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-25)*x)\/x)\/x*x\/x**(12\/7)*x*(x\/(x**(1\/5)*x*x))\/x*x\/(x*x*x\/x**(-7)) assuming x is positive.\nAnswer: x**(-1292\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15088, -15077, -15064, -15055, -15056, -15073, -15112?\n\"Answer: -t**3 + 7*t**2 - 3*t - 15091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1806047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 38\/4 - (-10)\/(-20). Let o(j) = t*j + 5*j - 13*j. Let k(q) = 3*q. Give o(k(w)).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-1))**44)**(-24))**22 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 5218?\nAnswer: 5217.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s + 3*g - 687, -13*g = -15*g - 10. What is the remainder when s is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -546*t - 2170. Let a be l(-4). Let u(o) = 7*o + 2. Let d be u(-10). Let c = -40 - d. Calculate the highest common divisor of c and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76271 + 611?\nAnswer: 76882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -650, -579, -508, -437, -366, -295?\n\"Answer: 71*f - 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h - 4. Let p(u) = 2*u. Let k(t) = -j(t) + 2*p(t). Let n be (-34)\/153 + 58\/18. Calculate k(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1517327 = -41*t - 185278. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 plus 1589?\nAnswer: 1641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - h + 1. Let d(v) = -5*v**2 - v + 1. Let m be (32 - 34)\/(61\/(-62) + 1). Let p = 125 + m. What is p*d(s) - z(s)?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 236875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**5\/60 + 7*m**4\/24 + m**3\/3 - 2*m**2. Let v(j) = -2*j - 2. Let q be v(-4). Give c(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c**2 + 2*c + 1. Let u be h(-1). Suppose -u*f + 3*p = -24, -6*f + f - 2*p + 9 = 0. Suppose 2*r + 3 - 7 = 0. Which is smaller: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0903 - 0.0097. Let o = 113\/2 - 57. What is the closest to j in 0.04, 1\/3, o, -0.4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -160643115?\nAnswer: 160643115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55367 + -55367.1. Let z be 3\/(-7) + 0\/(-1). Which is the smallest value? (a) n (b) -0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2305418213 to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/11? (a) 82 (b) -1 (c) -2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 6 - 1)*(90*q + 264*q - 157*q).\nAnswer: 3546*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is aba5 + -1?\nAnswer: aba4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*g**5 - 4*g - g - 2*g**2 + 12*g**2 - 3*g**5 - 10*g**4 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100000 - -1000100011?\nAnswer: 1011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1 - t**3 + 7*t**2 - 3*t**2 + t + 1. Let i(w) = 2*w**3 - 7*w**2 - 2*w. What is 10*d(a) + 6*i(a)?\nAnswer: 2*a**3 - 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 20 = 5*z, -3*d = 5*z - z + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(-2 + 2 + g**3) + 2*g + 2*g**3 - 2*g - 2*g**3 + 3*g**3 + 5*g**3 + (-g - g + g)*(-2*g**2 + 0*g**2 + 3*g**2).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-3)\/1 - 18\/7. Which is the closest to 1? (a) -4 (b) u (c) 16 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -40, 0.04, -14\/13 in decreasing order.\nAnswer: 2\/5, 0.04, -14\/13, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 16*a - 8*a - 10*a. Let v(q) = -6*q. Give m(v(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/386? (a) -1\/5 (b) -3 (c) 0.3 (d) 1 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/593 + 1801\/13046. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04905 and -0.988.\nAnswer: -0.0484614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o - 2*d = -236128, -4*d + 24 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 5*x - 25 + 25*x**2 + 5*x.\nAnswer: -2*x**3 + 25*x**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(99)\/((sqrt(9) + sqrt(9)*1)*6 + sqrt(9)))**2.\nAnswer: -22\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -169119 - -1a7?\nAnswer: -168a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2684548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*u - 2, -8 = 8*h - 4*u - 12. Sort -4, -1, 13, 6, h.\nAnswer: -4, -1, h, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.054*-186.\nAnswer: -10.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z - 12*z**3 + 10*z**3 - 4*z**2 + 3 + 5*z to the form r*z + v*z**2 + s*z**3 + u and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132276 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 598, 600, 604, 610, 618, 628?\n\"Answer: a**2 - a + 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 - 198*z + 200.\nAnswer: -2*(z - 1)*(z + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129 by 24.\nAnswer: -43\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, -17, 1\/4, 2\/7.\nAnswer: -17, 0, 0.1, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268, -527, -784, -1045, -1316, -1603, -1912, -2249?\nAnswer: -2620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1048 - 1019) + 1 + (4 - 16).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*o + 0*o - 3*o)*((-1 + 2 - 3)*(-o + 0*o + 3*o) - 8*o - 91 + 91) to the form m + q*o**2 + h*o and give q.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 w when three letters picked without replacement from {i: 3, y: 2, w: 3, b: 1, z: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -9 + (20 - ((-11 - -12) + 5 + -5))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.7045, 2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2040 = 2*x, 4*x - 8*x + 528 = g. Let d be (-4 - (1 - -2)) + 23. Calculate the highest common divisor of g and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -725*d + 725*d + 11*d**5 + (-d**4 - 6*d**4 + d**4)*(-6*d + 0*d + 3*d).\nAnswer: 29*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 38*j + 42*j - 10916, -8207 = -3*g + 2*j. What are the prime factors of g?\nAnswer: 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20, 5, 3.001, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) 0.0865 (c) 36 (d) -5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.08 and -96.\nAnswer: -94.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -19335*(30\/9)\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3190 is divided by 266.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -48 - (6 - (9 - (-23 - -4)))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {p: 4, m: 8, e: 5}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 7.4?\nAnswer: 22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39\/(-3 + (-8 - 12384\/(-1125))).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4*((-102)\/(-4) - 4) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/222117 and -39\/21154?\nAnswer: 444234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 3*g - 3138 = -8*h - 3079, -4*g - 67 = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (10 - -5)) + (-7 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - m - 134 = -l, -41 = -l + 4*m. Calculate the greatest common divisor of 144 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 539 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v - 4738 + 4278. What is the highest common factor of v and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 6 + 6)*(-2 - 1 + 5) + (4 + 0 - 5)*(0*i + 5*i - 4*i).\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - 3) + (0 - (-3 + (4 - -2)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1375 and 1125?\nAnswer: 12375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -15, -2\/3, -41.13, 3, -0.55?\nAnswer: -41.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 12:04 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 12 = 5*g, g - 2*o + 3 = -5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 81a64 - -630?\nAnswer: 82594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.7, 10\/13, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31472875.\nAnswer: 5, 7, 35969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**7\/2520 - m**6\/120 + 43*m**4\/12 + 105*m. Let w(p) be the third derivative of t(p). Factor w(z).\nAnswer: z*(z - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 1. Let n be (-3 + 5)*25\/10. Solve -n*r = -a - 9 - s, -5*a = -r + 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9555 and 377790?\nAnswer: 4911270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in 1\/5, -0.2, -34, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 43*g**3 + 3*g**2 + 21*g + 3. Let c(f) = -128*f**3 - 8*f**2 - 62*f - 8. Let t(r) = 3*c(r) + 8*u(r). What is the second derivative of t(x) wrt x?\nAnswer: -240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpf when three letters picked without replacement from pmeeeoemfpmpep.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21327 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 2)\/((-1)\/33). What is the biggest value in 5, a, 3\/7, -3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 14. Suppose i*u - 13 = -4. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 34811010?\nAnswer: 69622020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(8)*1) - (-1*sqrt(3)*-4)**2) + ((6*1*sqrt(15))\/sqrt(5))**2 + (6*(0 + -2 + sqrt(432)))**2.\nAnswer: -1727*sqrt(3) + 15756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 409064.4 to the nearest 10000.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - -3)\/(-4 + 2). Suppose t*r - 314 = 268. What are the prime factors of r?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjvvvv. Give prob of picking 2 v.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51639.5 centimeters in nanometers?\nAnswer: 516395000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 5)*(0 + 1 + 0)*(2*r - 3 + 3)*(6*r**3 - r**3 + 0*r**3) as b + d*r**4 + q*r**3 + w*r**2 + f*r and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2811 or -2856?\nAnswer: -2856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/4))**(-37)\/((a\/(a**(2\/7)\/a))\/a*a**(-7)))\/((((a\/a**(3\/5))\/a)\/(a*a**(-1)\/a*a*a))\/(a\/(a\/a**(1\/3)*a))**(1\/18)) assuming a is positive.\nAnswer: a**(-75227\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6371.913 tonnes?\nAnswer: 6371913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/3 - (16 + (-217)\/93).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(4\/25*(-75)\/30)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*t**2 + t**4 + 18*t**2)*(-4*t - t + 12*t).\nAnswer: 7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 4*v + 5*v**2 - 1\/105*v**5 + 0 + 13\/21*v**4 + 18\/7*v**3. Let f(x) = 0. Calculate x.\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8405201 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -483 + 488. Let d(o) be the third derivative of -1\/80*o**6 - 15*o**2 + 0*o**3 - 1\/32*o**4 + 0*o + 3\/80*o**j + 0. Determine n, given that d(n) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -185 - -187. Sort p, -20, 8 in decreasing order.\nAnswer: 8, p, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -120 + -1051?\nAnswer: -1171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2707, -5414, -8121, -10828?\n\"Answer: -2707*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/3)\/9*3. Suppose -j = m - 4, r = 5*j + 169. List the prime factors of r.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1365302655 rounded to three decimal places?\nAnswer: 0.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3503*f**2*x - f + 1127*x + 2 wrt f.\nAnswer: -7006*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2)*(-78)\/(-130).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - j**2 - 1. Let c(b) = 2*b**3 - 5*b**2 - 5. Determine -2*c(w) + 6*d(w).\nAnswer: 2*w**3 + 4*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/2589730 and -139\/1110.\nAnswer: 287460030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 116.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24 + 1)*(1 - 0). Suppose -t + 0 = -5*l. Find the first derivative of -l + 4 - 3*z**4 + z**4 wrt z.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*d**5 - 49*d**4 + 9840*d**3 - 84271968*d**2 wrt d.\nAnswer: -360*d**2 - 1176*d + 59040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133550 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*c**3 - 16*c**3 - 6*c**2 + 14*c**4 - 16*c**2 + 7*c**3 + 24*c + 8 = 0. Calculate c.\nAnswer: -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = -c + 134. Suppose -2*g = t - 28599995, g + 4*g - 71499980 = -c*t. Round g to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 35*r + 21. Calculate i(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3417186 or -3417202?\nAnswer: -3417202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.04494 times -49374\nAnswer: -2218.86756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-48)*234\/(-182)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -3, -5, 3\/2, -0.3, -55\/171?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2303101310 (base 4) to base 2.\nAnswer: 10110011010001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002385998 rounded to seven dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/4 + (-21)\/(-4). Suppose -n*i + 2*i + 57 = 0. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 3:14 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 830215 * -1.\nAnswer: -830215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t - 2. Let g(z) = -3*z + 2. Let o(y) = 3*a(y) + 2*g(y). Let r be (-12)\/8*8\/(-6). Determine o(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**4\/4 - d**3 - 3*d**2\/2 - 2*d - 824. Calculate w(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - -134*4\/(-256). Is q at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -5*k + 4*z - 33, -2*z + 5 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 220*n - 2015.\nAnswer: -5*(n - 31)*(n - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n + n**2 + 7*n - 6*n)*(-6*n + 2*n + 2*n)*(0 - 1 + 4).\nAnswer: -6*n**3 - 36*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, u: 2}. What is prob of picking 2 o and 2 u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7693904 and 516.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -127?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -6. Let y(i) = -1461 + 1692 - 241 + i**2 - 7*i. Determine y(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 981 + -717. Does 44 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4283.\nAnswer: 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.215857614 less than -6?\nAnswer: -4.784142386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3\/5 - 63*w**2\/5 - 3009*w\/5 + 38291 = 0. Calculate w.\nAnswer: -55, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2885691 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, 3, -0.9, 1\/5, 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 531225 and 1239525?\nAnswer: 3718575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, w: 6, m: 3, u: 1, t: 2, x: 1}. What is prob of sequence ttx?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2060 - -5?\nAnswer: 2065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-w + w + 2*w)*(14*w + 14*w - 7*w).\nAnswer: 42*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 6*j**2 - 5*j + 4. Let y be s(-4). Let k be (-2)\/4 + 30\/(-4). Is y >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 6. Let m(y) = -6 + 4*y**2 + 0 - 3*y**2 + 11. Let x(q) = -6*m(q) + 5*p(q). Let d(c) = -8*c**2. Calculate x(d(k)).\nAnswer: -64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/7)*d*d*d\/(d*d**2*d))\/(d**0)**17 assuming d is positive.\nAnswer: d**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89785575, -89785578, -89785581, -89785584?\nAnswer: -89785587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwhjrjcjj. What is prob of sequence jcr?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*q - 57 = 62, 4*q = -4*w + 196. Let r = 2 + 21. Calculate the remainder when w is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*w**3 - 6*w - 2553 with respect to w.\nAnswer: -24*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 - 2*q + q + 0 + 3. Let l be 2*13\/(52\/(-8)). Let o(n) = 4 - 2*n - 5*n**2 + 0*n + 2*n**2. Calculate l*k(z) + 3*o(z).\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 42\/5 of a millimeter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/48)\/(20\/(-480))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0067005681 to five dps.\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = i + 3 + 2, i = 4*j + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 10, 4, -10128 in descending order.\nAnswer: 10, 5, 4, -1, -10128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5342149.\nAnswer: 757, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-10 - 171\/(-18)). Solve 0 = -3*y - 3*p, 3*y + 3*p + 2*p = g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8278*m**3 + 830*m**2 + 5 wrt m.\nAnswer: -49668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 913 divide 998651269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + (sqrt(156) - (sqrt(156) + sqrt(156)*-2*-6)) + 3*(sqrt(156) + sqrt(156) + (sqrt(156) - sqrt(156)*-1)))\/((-4*sqrt(972) + sqrt(12))*-5))**2.\nAnswer: 13\/30625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 37*u - 2442 = 0. Find the first derivative of -72*a - 71*a - u + 323*a wrt a.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796 - (-66)\/(-30)*-5 - 12 is divided by 392?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(2*sqrt(190) - sqrt(190)) + (sqrt(190) - (sqrt(190) - -1*sqrt(190) - sqrt(190))*-5))*2)\/(-2*sqrt(640)*-2*-5))**2.\nAnswer: 19\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -529ce44?\nAnswer: 529ce42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 8*v**5\/7 - 246*v**4\/7 - 590*v**3\/7 - 132*v**2\/7 = 0?\nAnswer: -2, -1\/4, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - 82 - 2*j + 86)*(-2*j + 2 + 2 + 0*j) as t*j**2 + h*j + f and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2279 - 1109. Suppose -3 = -3*c + u. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 5. Let o(n) be the first derivative of 11*n**3\/3 + 5*n**2\/2 - 6*n + 431. What is the remainder when o(b) is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214890 divided by 1102.\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 87155 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 - 65 - 368*b**2 + 134.\nAnswer: -368*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3182028.\nAnswer: 2, 3, 265169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(18\/4 + -4). Suppose k = -3*w + 5*w. Find the second derivative of -5*i + 2*i**2 + i**2 + w*i + 2*i**2 wrt i.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1026 and 31\/252054.\nAnswer: 756162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, f: 2, y: 3, d: 3, u: 9}. Give prob of picking 1 f, 1 s, and 1 u.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5.6, -1\/7, -573, 22\/7, -5\/3?\nAnswer: -573","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-15\/8)*a**11)\/(a**10)**(-10\/3) assuming a is positive.\nAnswer: a**(1019\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2960*n - 983*n - 989*n - 990*n - 29 - 606*n**5 wrt n.\nAnswer: -12120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 37. Suppose -u - 2*k = -5*u + i, 8 = -2*k. Which is the closest to 0? (a) 0.5 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*56\/28.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -8 (b) -2\/7 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 17*s - 25. Let f = 762 - 747. Let y be p(f). Solve 4*n = 3*g + 2*n - y, 0 = -g + 2*n + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 394727 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161399.9 minutes to nanoseconds.\nAnswer: 9683994000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 495381 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18, -21, -26, -33?\n\"Answer: -r**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 19*l**3\/2 + 3*l**2 + 646*l. Let x(r) = -13*r**2. Calculate m(x(g)).\nAnswer: -741*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -803\/276 - -134\/23. Calculate the common denominator of u and 79\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13551073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.71 and -57117739.798.\nAnswer: -57117736.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5129 in 1\/2, 0.1, 0.2, -1\/2, -6\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*i - 4*q, -6*i - 3*q = -0*q + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80690 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(576) - sqrt(576) - sqrt(9)) + -1*sqrt(576))*3)\/((-5*sqrt(105)\/sqrt(5))\/(sqrt(252) - sqrt(252)*3)).\nAnswer: -180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**4 - 155*y**3 - 420*y**2 = 0.\nAnswer: -28, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**4*u**2 + 224771*s**3*u**2 - s**3*u - 1879*s**2*u - 480*s*u**2 wrt s.\nAnswer: 24*s*u**2 + 1348626*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -382.371229 - 0.3.\nAnswer: -382.671229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114.7 * 0.016.\nAnswer: -1.8352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*-3 + 2 + 0. Let n be (1\/2)\/(-11 - 2470\/(-228)). Let f(a) = 5*a**2 + 9*a + 9. Let h(k) = -2*k**2 - 4*k - 4. Determine j*h(p) + n*f(p).\nAnswer: -p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13034 + -1720487\/132. Which is the second biggest value? (a) h (b) -3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*c + 30, -6886*c + 6882*c - 18 = 2*r. Solve 5*a = -2*z + r*a + 14, a = 4*z - 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -214?\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 935\/16679?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 26 - 11 - ((1 - 13) + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**4*o + 188*a**4*q**3 + 2*a**3*o*q + 8*a**2*q**3 - a*o*q**3 - 3*a*q**3 + 41*a*q wrt a?\nAnswer: -24*a*o + 4512*a*q**3 + 12*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -44*h + 537. Let f be z(39). Are -1179 and f unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/75 in 0.2, -2\/3, 0.1, -1\/84, 8?\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 8*t**2 - 11*t - 20. Let m be d(-7). Let o(r) = r - 4. Let k be o(m). Suppose w - 138 = 4*h - 8*h, 3*w - k*h = 398. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**4 - 148504*l**3 - 157998460*l**2 - 41441440352*l = 0. What is l?\nAnswer: -521, 0, 38168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-285)\/(-2)*((108 - 18) + 24) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chcchccndndncnnnnncd. What is prob of picking 1 d and 1 n?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**3\/7 + 13593*v**2\/7 + 296874*v\/7 - 3246480\/7 = 0?\nAnswer: -4509, -30, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*r - 8, 5*y - 2*r - r = -15. Let m = 7 + y. Let q(s) = 2*s**3 + s. What are the prime factors of q(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 16. Let i be d(14). Suppose -i*m + 52*m = 240. What is the remainder when 72 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -828 plus -99229155?\nAnswer: -99229983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -12*t - 89. Calculate z(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38.4 - -9.4. Let y = m + 29.1. Which is the smallest value? (a) 2 (b) 0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 2436 (c) 3\/4 (d) -10 (e) -3 (f) 4 (g) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/1 - (-9 + 3)\/(-6). Suppose -2*y - y - 3*g + 738 = 0, -i*y + 492 = -2*g. Is y a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11622 rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 226.\nAnswer: -225.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7452 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: -5 - (2 - 0) - -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/11)*y**(1\/4)*((y**(8\/3)*y)\/y)\/(y\/(y*y*y\/y**(-3\/2))) assuming y is positive.\nAnswer: y**(871\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 215 - 4323?\nAnswer: -4105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89.5126 * -0.3.\nAnswer: 26.85378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 - 2*g + 1. Let h be k(-2). Let a be (-6*(5\/h)\/(-5))\/(-2). Let d(w) = a + w - 3 + 2. Give d(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 3265?\nAnswer: 3265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 152, 489, 1144, 2225, 3840, 6097, 9104?\nAnswer: 12969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163144937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 - 512)*10\/(-6). Suppose -d = 2*f - 2545. What is f rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495)\/((sqrt(36)\/sqrt(4) + sqrt(9))*1))\/(sqrt(40)\/(-6*(sqrt(8) + sqrt(72)) + sqrt(8))))**2.\nAnswer: 5819\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20524.4 or 15\/11?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(0 - -1) - 2. Suppose -x = u*l - 4, 2*l - 14 = -2*l + x. Suppose l*k - 4*f = k + 36, -3*k + 26 = f. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -5*z**4\/36 - 820*z**3\/3 - 201720*z**2 - 1781*z. Determine i so that w(i) = 0.\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255614 to the power of 1\/2, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 17*g**2 - 62*g - 78. Give q(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -209*p**3 + 3*p**2 + 27*p - 8. List the prime factors of v(-6).\nAnswer: 2, 22541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -8 (c) 7 (d) 0 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 2*x + x)*(0*x**2 + x**2 - x - 3*x**2)*(73 + 142 + 4).\nAnswer: 438*x**3 + 219*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -119, -236, -367, -518, -695?\n\"Answer: -c**3 - c**2 - 107*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500515525.\nAnswer: 5, 433, 46237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.54, -3 in decreasing order.\nAnswer: -0.54, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 + 3*s + 4. Let c be f(0). Let b(d) be the first derivative of 4\/3*d**2 + 1 - 2\/3*d**3 + 8\/3*d - 2\/3*d**c - 2\/15*d**5. Solve b(o) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -140, -287, -434, -581, -728, -875?\n\"Answer: -147*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 16*r**2 - 17*r - 6. Let j be a(-17). Let c(s) = 43*s**2 - 4*s - 11. Is c(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003467272689 to five dps.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 2:11 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 162, -0.2, -4.\nAnswer: -4, -0.2, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**2\/2 + 1. Let j(v) be the third derivative of 0*v**3 + 0*v + 1\/30*v**5 + 0*v**4 - 15*v**2 + 0. What is j(g(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2438 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-189)\/675)\/((-112)\/120).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 25 - 42 + 45*u**3 + 21.\nAnswer: 45*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*j. Solve 3*i + i + 17 = f, j = i - 4*f + 23 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 631.5 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23577, 23560, 23543, 23526, 23509, 23492?\nAnswer: 23475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 63178, 126357, 189536, 252715, 315894?\n\"Answer: 63179*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 11:04 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7511 is divided by 68?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2 + 17568*b - 193611 = 0 for b.\nAnswer: -5867, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/10)\/(4\/10). Let r(y) = -y**2 + 3*y + 207. Let i be r(16). Sort z, i, 1, -2 in ascending order.\nAnswer: -2, i, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4 + 4. Let q be (27\/3)\/((-6)\/w). Let x = q + 1. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r - r**2)*(19*r - 19*r + 2*r**2).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 0*y. Let s = 0 + y. Let w = s - -9. What is the greatest common divisor of 99 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*p + 10862968 = 193*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16 - (14 - 6)*2. Is 3\/343 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(540) - sqrt(540)*-2)*6)\/(1*(sqrt(605) + sqrt(605)*1*-1 - sqrt(605))).\nAnswer: 432*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 17222*b**2 - 2 - 2 + 0 + 0 + 2*b. Let a be p(6). Round a to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 118 = 128. Suppose 3*x = -q + b, 5*q = q + x + 216. What is the remainder when q is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 times 70?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14956 + 14954 - 29910 - 503*i.\nAnswer: -503*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -218, -209, -186, -143, -74?\n\"Answer: d**3 + d**2 - d - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.353 - -16.353. What is the nearest to 1 in j, 44, -7\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2514216 and 65592?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-51)\/(-21) - 7\/(147\/(-12)). Suppose z - 4*q = 3 + 1, 3*q + 12 = y*z. Solve -2 + z = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 9*o - 14. Which is the closest to -1? (a) o (b) 0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -89. Let u = m - -40. What is the nearest to u in -5, 1\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 88 = 3*k, -2886 = -3*l - 3*k - 2814. Let b be 4\/(-12) + (-64)\/(-3). Solve l = g + b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 654 = -10*f + 7*f. Let j = -1 - f. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*s = -105*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1440 = -4*u, 310 = 3*v + 5*u - 554. Let j = -3746\/13 + v. Let q = -0.95 - 0.05. Which is the nearest to -1? (a) 5 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 18 = -3*o, -3*o - 7 = -5*j - 1. Suppose -i - o*i = -92. What is the greatest common factor of 23 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 10:34 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13224504 + -336?\nAnswer: -13225143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + (-32 - -12) - 33 - -59.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3281 and 0.5.\nAnswer: 0.1719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12888580?\nAnswer: 2, 5, 37, 17417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 137 (b) -39 (c) 1\/10 (d) 10 (e) -0.02 (f) 0.4 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3582 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-3))\/(-2)*9. Let l(r) = 20*r**2 + 2*r - 15. Let g(z) = -80*z**2 - 9*z + 61. Let p(c) = d*l(c) - 2*g(c). Differentiate p(o) wrt o.\nAnswer: -40*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49978550?\nAnswer: 2, 5, 19, 52609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -8 - -3*(-40 - 1). Which is smaller: -120 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9, -18, -57, -102, -147, -186, -213?\n\"Answer: z**3 - 12*z**2 + 2*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-36) - 13\/(-4). Suppose 5*w + 2 = c*u, -2*u = 4*w - 0*w - 16. Solve -o - 12 = -w*q + o, -2 = 2*o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -15 and -735066.\nAnswer: -735081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**3 - 5*l**2 - 5*l + 210. Let o(t) = 2*t**2 + 5*t + 3. What is -5*o(b) - 3*v(b)?\nAnswer: -b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, s: 5, k: 1, d: 1, w: 1, j: 3}. Give prob of picking 2 s.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -99 + (8 + 1 - 2) + -10.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 + 23*o**2 - 13*o + 16*o + 2*o**4 - 3*o**2 + 41 as t + m*o**2 + i*o**3 + l*o + u*o**4 and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234150269?\nAnswer: 61, 3838529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 0. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f**(2\/87)*f))\/(f**(-19)*f))\/(((f**(-7)\/f)\/f)\/f)**14)**(-3\/5) assuming f is positive.\nAnswer: f**(-13831\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3, o + 4*l - 334 = 7*l. What are the prime factors of o?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/128 and 7\/40483.\nAnswer: 5181824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 54, 120, 222, 366, 558?\nAnswer: 804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6 = -8*k. Is k != -24\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**0*n*n)**(-2\/71)*((n**(3\/2)*n*n)\/n*n)\/(n**2\/n*n*n) assuming n is positive.\nAnswer: n**(59\/142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f - f + 0*f - 3*f + f + f + (5 - 1 - 3)*(0*f - f - f) - 9704 + 9704 + 70*f as t*f + h and give t.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*s - 14 + 14 as v*s + i and give v.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Let u be (-8)\/(-20) - (-4)\/(-10). Suppose 16 = -u*l + l. Solve -5*g + g + l = y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74629, -74018, -73409, -72802, -72197, -71594, -70993?\nAnswer: -70394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*4*5\/(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 0)\/(10 - -8)*3. Which is the nearest to 1? (a) -0.5 (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 182 = -2*q, 40*q - 35*q = -5*f + 450. What is the remainder when q is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 2. What is i(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62148*h + 62127*h + 21 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from jjjjakjsy.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 15621160 to the nearest ten thousand.\nAnswer: 15620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 225 - -1?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.147437148 to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, k: 1, d: 2, m: 1, u: 1, o: 1}. Give prob of sequence umd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8468 divided by -7\nAnswer: 8468\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l - 28 = 0. Let v(n) = -n**2 + 7*n - 1. Let m be v(l). Let t = 1074 - 1079. Sort t, m, 7.\nAnswer: t, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*710\/1846?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chz when three letters picked without replacement from ucdcdcchxhchzhxccchh.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(252) + 1 + -2 + sqrt(252)*-2 + 5))**2.\nAnswer: -192*sqrt(7) + 1072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2152823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -29*k**2 - 27*k + 38. What is p(-2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 < 1709973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 100633\/2 or 50318?\nAnswer: 50318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 + 119*p - 134. Let r be j(58). Which is smaller: r or 56?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a86 + -1?\nAnswer: -a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 27. Solve y - 5*y = n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**5\/150 + 5*d**4\/12 - 26*d**3\/15 - 718*d**2. Let v(f) = 0. What is f?\nAnswer: -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*t**6 - 30194567*t**3 + 36991*t**2 + 634 wrt t?\nAnswer: 360*t**3 - 181167402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64*m**4 + 347*m**2 - 400*m**4 + 43*m**4 wrt m?\nAnswer: -10104*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20638 and 278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 + 120*b - 1 - 122*b)*(1 - 10 + 3)*(1 - 3 - 1) to z*b + n and give n.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23559*o**2*z**4 + 8*o**2 + o + 5*z**4 - 1582 wrt z.\nAnswer: 94236*o**2*z**3 + 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1022 + -1022. Let z(g) be the first derivative of j*g - 3\/2*g**4 + 0*g**2 + 3*g**3 - 2. What is the third derivative of z(i) wrt i?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109 + 130.3. What is l rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52107895?\nAnswer: 5, 7, 1488797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j - 32. Let p be v(5). Sort 8, -5, p.\nAnswer: -5, p, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 890413 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3047 - -3044.25. What is b rounded to two decimal places?\nAnswer: -2.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210423659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(2448)*3 + 3)**2*-3.\nAnswer: -66096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1231256 (base 7) to base 9\nAnswer: 262028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1637.\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*7\/315*-6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(7 + 1) - -15*4\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 577 - c - 1046 - c**3 + c**2 + 470 + 0*c**3. Let d(f) = -18*f**3 + 9*f**2 - 9*f + 9. What is -4*d(b) + 36*q(b)?\nAnswer: 36*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4173748009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*p - 1671 = -0*u, -4*u = p + 2228. Let d = 11695\/21 + u. Is d != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -51. What is the least common multiple of d and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-5)\/4*(-10)\/(-25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 650113*s + 650703*s - 1300818*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 9 - 6) + -6 - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/13250 and 123\/2000?\nAnswer: 106000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -7*w + 2*w + 23 + 3*w. Let i be j(10). Solve 0 = -i*d - 3*z, 2*d + 3*z = d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Solve k*n + 4 = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33002 and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**6\/180 + f**5\/90 + f**2 + 2. Solve l(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -8*o + 1. Let s be q(1). Let g(d) = -3*d + 1. Let l be g(s). Let k(y) = -22 + l - 23*y**2. Let f(v) = v**2. What is f(k(u))?\nAnswer: 529*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 8*p - 0. Suppose -8*m + 26 = 3*h - 4*m, -p*m = -2*h - 6. Let c(j) = 3*j**2 - j + 2. Give c(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 36922486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6\/(d*d**(1\/4)\/d*d*d))\/(d**(-2\/5))**30*((d\/((d*d**1*d*d)\/d*d))**(4\/7))**(-22\/5) assuming d is positive.\nAnswer: d**(3261\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1889015?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 46*-0.1\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 8:45 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 89 + 49 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 - 14*d**2 + 3*d - 8. Suppose 12 = -3*l, 4*b - 4*l = -3*l + 36. What is the remainder when q(7) is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -5. Let n(g) = -2*g + 0*g + 1 + 4. Let k = 54 - 37. Let c(r) = 6*r - 14. Give k*n(m) + w*c(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 3*j + 135 = 0. Let u be (-2)\/(-9) + (-318)\/j. Solve 0*w + u = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -16. Let i(l) = 3*l**2 - l**q + 4 + 0 + l. What is the tens digit of i(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58376*p - 117267*p - 2 + 58883*p.\nAnswer: -8*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57130 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 2*q - 32 + 6, -7 = j - 4*q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -3\/14, -4\/149.\nAnswer: -1\/4, -3\/14, -4\/149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 19 + -10 + -43 + 57.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 - 68*u - 35. Let v be -3*(-207)\/135*(18 + -13). Give t(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-125)\/20 + (0 - -6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 3*s - 2*s + 34, -5*s = 3*b - 10. Suppose -2 = 2*y - b. Is -2*(1 + 36)*(-2)\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 11. Suppose 4*r - 31 - 1 = 0. Let d be c(r). Let l be 2 - d - (-14 - -1). Solve 2*j + l = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 1:23 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + -5 + 46 + (11 - 7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -15. Suppose z = 3*x - 3*z - 22, x = z + g. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56480590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5901 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (7 - 8)) + -12 + 3 + 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -277, -539, -801, -1063?\nAnswer: -1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 622120 by 311060.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106460233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p. Let t be 26\/(-39) - (-10)\/6. Let y(c) = c. Let z(h) = 158*h - 312. Let a be z(2). Calculate a*g(v) + t*y(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15419?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6) + 7\/(-6). Let i = 360.9639 - -0.0361. Let w = -361.6 + i. What is the third biggest value in c, -3, w, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 188, -311, -1380, -3025, -5252, -8067?\n\"Answer: -q**3 - 279*q**2 + 345*q + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21293.\nAnswer: 107, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 718.104 + -717. Round y to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3911 in 2\/13, -5, 0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 640 + 127*u - 267*u - 81 - 700*u.\nAnswer: -840*u + 559","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 429 and 7254.\nAnswer: 79794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1213110 (base 6) in base 16?\nAnswer: -fac2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*t + 78*t - 9890 = -326*t + 12886 for t.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p**2 + 2*p + 3 - 3 + 10*p**2.\nAnswer: 27*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -496517, -497017, -497517, -498017?\n\"Answer: -500*x - 496017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-1)*(-7)\/7. Suppose 192 = -j*k + 5*k. Suppose -7*v + 4*v + k = 0. What is the remainder when v is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (221\/52)\/((-436)\/6976)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s**2 + 7*s**2 - 6*s**2)*(6 - 2 + 0) as q*s + k*s**2 + j and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 1. Let s(n) = -15*n**3 - n**2 + 6*n - 6. Give 6*j(p) - s(p).\nAnswer: 15*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -2. Suppose -5*o = -3*s - 3906 + 921, s = t. Round o to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -122 - -1?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 3)*(-3*u + 7*u - 2*u) + 296*u + 158 - 158)*(-10*u + 4*u + 0*u**2 - u**2).\nAnswer: -298*u**3 - 1788*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -109 + 2\/(-1) - 1. Let p = -80 - m. What is the units digit of (-4)\/14 - p\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 11:01 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 8, p: 4, u: 2, b: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17101 = -555*r + 6001 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 723545263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + r - 1. Let y(k) = k**2 - k + 1. Suppose -7*a + 2*a = j - 17, -j = -5*a + 13. Suppose -j*f + 55 = 57. Give f*y(d) - u(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 29658?\nAnswer: 148290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - -0.3. Suppose -26*n + 37 = 115. What is the closest to -2\/3 in -2, n, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from rjjrjrjjrj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**5\/60 - 2096*j**2 + j. Let x(m) = 4*m**2 + 14*m + 14. Give x(b(n)).\nAnswer: 4*n**4 + 14*n**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -998016*2.\nAnswer: -1996032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1545 = -69*c - 96 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -15*d - 265. Does 57 divide s(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 10 - -2 - (0 + (6 - 23) + 37).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164166*1.4.\nAnswer: 229832.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smjjmmjmmsmhmmmmr. What is prob of sequence mh?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2.33*-15.414\nAnswer: -35.91462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1\/11 (c) 0.004\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 35*r + 2. Let f = -298 - -299. Give v(f).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 107954 and 107987 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1600 - -2443. Calculate the remainder when h is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9426 * -5146.\nAnswer: 48506196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1280) - sqrt(1280)*-2))\/(sqrt(24)\/(sqrt(6) + 2*(sqrt(6) - sqrt(18)\/sqrt(3)) + sqrt(6))).\nAnswer: -96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysym when four letters picked without replacement from {y: 2, m: 2, c: 12, s: 2}.\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/23349 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k. Let n be 12\/(-9)*(-3)\/2. Let t = -2 + 5. Let d(p) = t*p + p + n*p - 3*p. Give s(d(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1239 plus -5490330647?\nAnswer: -5490331886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 9229.\nAnswer: -20\/9229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56100?\nAnswer: 2, 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -390 (base 14) to base 9.\nAnswer: -873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9679 is divided by 2127.\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.039? (a) 1267 (b) 3 (c) -1\/9 (d) -137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/3)*w)\/w)**(-1\/13)*w**8\/(w\/(w**(-30)*w*w*w)) assuming w is positive.\nAnswer: w**(-781\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 14632813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4888046 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from {b: 2, n: 1, m: 3, t: 3, k: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (564\/90 - 6)\/(16\/12). Factor -4\/5*m + 1\/5*m**3 + 4\/5 - y*m**2.\nAnswer: (m - 2)*(m - 1)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 5. Let k be 4 - (2 - 2) - 1. Let y(n) be the second derivative of n**3\/6 + n**2\/2 - 22*n. What is k*y(r) - b(r)?\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296605769?\nAnswer: 23, 3511, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4830 and 30660?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-8) + (-38)\/16. Is c + ((-30)\/(-3) - -1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74048300*y**2 + 8799066*y?\nAnswer: -148096600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3880, -7765, -11650, -15535, -19420?\n\"Answer: -3885*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) 13 (c) 3 (d) 0.2 (e) 9\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -20*a**3 - 4*a**2 - 4*a - 3. What is the remainder when m(-2) is divided by -209*33\/22*2\/(-33)*1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 + 59. Suppose c*m - 67 = -5*u + 3*u, 0 = 2*m + 3*u - 43. Calculate the highest common divisor of 23 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**2 - 2*i**2 + 3*i**2 + (i - 2*i + 0*i)*(2 - i - 2) + 2 - 2*i**2 - 2 + (-2*i - 3*i + 3*i)*(-2*i + 0*i + 6*i)*(-1 + 0 + 0).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*k = -40. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*t - 25 = -330. Let n(g) = -5*g**3 - 15*g**3 + t*g + 27*g**3 + 2 + 2 - 8*g**3. Determine n(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, q: 9, y: 3}. What is prob of sequence yyr?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1367 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, r: 2}. What is prob of sequence krkr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -57*r - 2160. Give j(-38).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 36 = -2*s. Let n(z) = -13*z. Let l be 2 - (-1*2 - 0). Let j(p) be the second derivative of p**3\/2 + p. Give l*n(y) + s*j(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -27. Suppose 7*m = 4*m - l. Let a be ((-3)\/6)\/(3\/(-12)) - m. Solve 13 = -d - 4*j, -4*d + 4*j = -a - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4\/4 + 31*w**3\/4 - 37*w**2\/4 + 9*w\/4.\nAnswer: -w*(w - 9)*(w - 1)*(3*w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f - 6. Let c(l) be the second derivative of 0*l**3 + 1\/20*l**5 + 0 - 1\/2*l**f + 0*l**4 + 3*l. Differentiate c(y) wrt y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*s - 22631, -2*s = 13*z - 8*z - 37712. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34321.\nAnswer: 7, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**5\/60 - r**4\/6 + 3*r**2\/2 - 3*r. Let p(f) be the first derivative of n(f). Let b be p(5). Solve 5*s = b - 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3205 (base 8) to base 16\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -216, -323?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 + 139 = 82*z + 515 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*k - 4*k - 22*k + (-2 - 3 + 4)*(-k + 3*k - k) + 45*k + 15*k + 40*k.\nAnswer: 49*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -1 - (-2)\/2. Let c(l) = l**3 - l**2 + 12. Let u be c(g). List the prime factors of (u\/14)\/(2\/14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a + 138 = -45*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = 4*a + 598. Let x = a - -220. What is the least common multiple of 55 and x?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/581 at least as big as -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 2*r**2 - 6*r + 6. Let m be y(4). Let w be -44 + (2\/2 - -1). Let g be (-28)\/w*(0 - 6\/4). Is g equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-13 + (3 - 3 - -8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 + d. Let t(v) = 10*v**3 + 2*v**2 - 6*v + 5. Let c(o) = -6*n(o) - t(o). Let j be c(2). What is the highest common divisor of 12 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 4*w**2 + w + 3. What is h(-5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 7. Let o be (-164)\/6 + c\/(-27). Let u = -24 - o. Solve u*m - 16 + 1 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 18 + 51 + -24?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 11:22 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -18*l**2 - 5. Let j(q) be the first derivative of -6*q**3 - 4*q - 108. What is -5*j(r) + 4*u(r)?\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 divided by -59?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) -3.8 (c) 0.2 (d) 1 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*g - 109 + 97 = 154*g - 442 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 3, -7690 in decreasing order.\nAnswer: 4, 3, -5, -7690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-32))\/1)\/((-4)\/(-32))*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/9 + 4\/(-6). Let g(q) = 2*q. Let k(t) = 2*t. Let m(z) = -4*g(z) + 3*k(z). Give m(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -2\/21, 0.02, 4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4 + 67*z**3 + 2.\nAnswer: 67*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 266 and 5434?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69009 = -3889*i + 655*i + 56268 + 849 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-10) - (-54)\/10. Suppose t + 2595 = 4*p, -2*t + 3228 = 5*p + 2*t. Let q be (p\/84 - 8) + (-37)\/(-7). Solve -q*b + 17 = u - 3*u, l*b = u + 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6557*j + 6562*j - 104 = -2*s, 2*j - 2*j - 12*s + 736 = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/1833)\/(51 - (88 - 39))?\nAnswer: -1\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47924587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 8:20 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 4*n + 12, 0 = 5*w + 5*n + 23 - 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1229695556798 - 2728694521763474\/2219. Let n = p + 36606. Let h = n - 9512\/2219. Find the common denominator of h and 117\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(((-403)\/78)\/(-31))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/10))**(3\/5)\/((f\/(f**(-26\/3)*f))\/(f**(-8)*f*f)) assuming f is positive.\nAnswer: f**(-2209\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 321 divided by -6\nAnswer: -107\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141311 = -37*f + 56898. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -389*0.049\nAnswer: -19.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/8)\/(12\/32). Let u = -4 + d. List the prime factors of 4\/(u\/(-6) + -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 2:51 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11942931 and 2464?\nAnswer: 382173792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-560063 + 1250*t + 560063)*(-t**2 + t**2 + 2*t**2) + t**2 - 2*t**3 - t**2 + t**3 - 2*t**2 + 2*t**2 as l*t + h*t**2 + f*t**3 + w and give f.\nAnswer: 2499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 0 = -2*u, w - 4*u = -5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 0, 2*j + j = -5*q - 0*q - 3*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, v: 5, d: 7}. Give prob of picking 3 v.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 176 (b) 5 (c) 32\/3 (d) -5 (e) 0.3 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**2*z + 12*l**2 + 10*l*z**2 + 5*l*z - 1653*l - 8*z**2 - 4*z + 1 wrt z.\nAnswer: l**2 + 20*l*z + 5*l - 16*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 273 = -8*k. Suppose k = 5*v - 124. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - w + 4*w - 3*w + 0*w + (-1 + 2 + 1)*(2*w - 1 + 1) - w - w + w + 0*w - 2*w + 7*w)*(-w + 28*w + 47*w**3 - 45*w**3).\nAnswer: 16*w**4 + 216*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -741451 or -5190165\/7?\nAnswer: -5190165\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46970*f**2 + 18112?\nAnswer: -93940*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-40)\/(-10) - (-87 + -1).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 213 - 204. Sort -4, s, -11 in increasing order.\nAnswer: -11, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 5*b - 74 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-15) - -3*(-208229)\/(-315). Suppose -5*x + 5*g + 11860 = 0, -5*g + 5125 + y = 3*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 73*b - 1327 + 1327 + 2 - 2 + 2*b + (2*b + 3*b - 3*b)*(0 - 4 + 5) + 0*b - 2*b + 4*b + 1 - 1 - 2*b + b - b - 2*b.\nAnswer: 75*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -6, -149, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -164.41 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2\/3 - 16*d\/3 + 20 = 0. Calculate d.\nAnswer: 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 + 2152*n**2 + 5*n**3 - 187 - 2152*n**2.\nAnswer: -n**3 - 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i + 2. Let t(b) = -b**2 + 5*b - 2. Let l be t(3). What is the least common multiple of r(l) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13969.114089 - -214349.114669. Let r = z - 200318. Let s = r - 62. Round s to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 14 = 4*z, -3*z - 2*o + 6 = o. Suppose -5*w + 3*r + 8 = 0, 2 = z*w + 4*r + 1. Find the second derivative of -2*k - 9*k**5 - 2*k - 1 + w wrt k.\nAnswer: -180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 1. Let o be k(-3). Suppose 45 = 2*c + o*w - w, 3*c - 66 = -3*w. What is the remainder when c is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*q + 5*n = -5, 4*q - 5*n = 5. Suppose d = 31 - 29. Let b(j) = j - j**d + 8*j**2 + j**2 + 13 - 7*j**2. Calculate b(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-16)*s**(-19))\/(s**(-22)*s*s\/(s*s**(1\/15))*s) assuming s is positive.\nAnswer: s**(-224\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {y: 5, w: 5, f: 4}.\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*i + 9922 - 10182 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*t + 798 = 144*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 381 + 406 = 0, -3*j - 11 = 33*z + 10 + 43 + 17 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 3*i = -3*p + 12, -16 = -4*p + i. Let n be (-3)\/(45\/6)*-30. Let d be ((-32)\/n - -2)*-6. Solve -p*a = -d + 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 888066619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*c = -99, -320*x = -323*x + c + 132. Solve -5*j - x = -14*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -725 + 724.6. Suppose 19*f = -13*f + 96. Which is the third smallest value? (a) 4 (b) -2\/13 (c) f (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26575640 divided by 759304.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 324600 = 2*v, -22*v = 5*x - 24*v - 162305. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/10)\/(((-26784)\/(-80))\/(-31))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -78.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*s + 109, -4*s - s + 268 = 2*k. Let x = 58 - s. Let z be 1\/(-1)*(-2)\/x*-4. Which is the biggest value? (a) 5 (b) z (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/((-77)\/35) - -7. Find j such that -1\/2*j**3 + 5\/2*j + 1\/2*j**4 - 3\/2*j**u - 1 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 557\/6*o**3 + 0 - 7*o - 11\/2*o**2. Is r(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 - (-3 + (1 - -2)). Suppose -3*t - 2*t - 5*c = -20, 2*t + 3*c - z = 0. Let 2\/3*w**t + 2\/3 + 8\/3*w**3 + 8\/3*w + 4*w**2 = 0. Calculate w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 3:18 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 40 = 2*d. Let u be (d\/(-5))\/((-4)\/10). Let x(a) = 6*a**3 + 77*a**2 - 10*a + 42. Let f be x(-13). Solve f*c + 15 = 0, -u*c - 8 = -v + 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1900\/60500*22*-11.\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28889356\/821 + 35188. Which is the third biggest value? (a) g (b) -0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-10) + (-11)\/2. Let d be (-6)\/(-9) - j\/(-3). Let t be 4\/5*d\/(-2). Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*f + 137 + 83, -3*f = -m - 130. Let d be 20\/f*27\/6. Suppose d*b + 304 = 7*b - q, 5*b - 280 = -5*q. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a microgram in nanograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20479 is divided by 10222.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 459*b*j**2 + 152*b*j + 3*b + 52*j**3 + 9*j wrt j?\nAnswer: 918*b + 312*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 28*c**2 + 7*c - 4. Let m be i(6). Suppose -5*v - 541 = -2*d, d + 3*d + 2*v = m. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 32 (b) 0.2 (c) -0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 356*t - 10. Suppose 3*n + 10 = 5*h + 2, 0 = -h + 3*n - 8. Let l(m) = 355*m - 10. Let o(j) = h*u(j) - 3*l(j). Is o(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6\/59 + 296\/4071. Let c = v + 215\/276. Sort c, 4, 20.\nAnswer: c, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/35 and -39\/219415.\nAnswer: 219415","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 482.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3040 and -1.5.\nAnswer: -3041.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1785 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 8. Suppose k*l = 3*l + 20. Solve 3*n + 8*v - l = 3*v, -5*v = -2*n - 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1560794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*g**2 - 3 + 25*g**2 + 7 - 3 to c*g**2 + q + s*g and give c.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 157731*d - 8 + 9*d**2 - 157731*d.\nAnswer: 10*d**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -7 - 49 + 2. What is the smallest common multiple of 30 + (1 - (-1 + 2)) and c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 9 = 34 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + -11 + 2 + 10 + (-3 - -6).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 874464383 to the nearest integer?\nAnswer: 29571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2246, -2248, -2250, -2252, -2254, -2256?\nAnswer: -2258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - -19. Suppose t - 6 = 3*q, 2*t + 5*q - 9 = g. Calculate the smallest common multiple of 50 and t.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 10*r**2 - 13*r + 14. Let z be j(8). Do 38 and z have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*-2*3*-2 + -3 - (-5*(sqrt(1300)*-1 - sqrt(1300)) + 3)*3)**2*-1.\nAnswer: -421344 - 4320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2 + 73)\/150)\/((78\/(-195))\/((-872)\/(-10))).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3 - 4. Let c = u - -11. Suppose c = 3*p - 233. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 2:50 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3 (b) 0.2 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 44*j - 143. What is u(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 5. Let l be v(-5). Suppose l = -5*h + 5*x + 10, -h + x = -x - 1. Solve 0 = 4*m - 4 + 12, h*m + 1 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 18 = -6*t. Suppose 2*r = -t*r - 120. Let u(c) = 3*c**3 + 2*c**2 + 2. Let n(y) = -21*y**3 - 15*y**2 - 15. Calculate r*u(i) - 4*n(i).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 3*a - 76 - 89 = 17*h, -6*h = 42*h + 3*a + 906 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-72*b**3 - 93*b**4 + 72*b**3)*(-370 - 625 + 286 + 225 - 478) to the form y*b**3 + m*b + q + p*b**2 + s*b**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 1\/5*t**5 + 0 - 1\/60*t**6 - t**4 + t**2 + 0*t + 8\/3*t**3. What is d in n(d) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.0401, -25\/12, -171?\nAnswer: -0.0401","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 3\/5*t**5 + 0*t**3 + 15 + 0*t**2 - 7*t + 0*t**4. What is the derivative of x(c) wrt c?\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 26, -3, -44\/7, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -201002200020 (base 3) to base 13\nAnswer: -102156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -59, -154?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 9*f - 40 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*a + 6 + 1334*a - 452*a + 1345*a.\nAnswer: 2185*a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1825 + 1642. Is -181 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51277\/4 - 12819. Let u(i) be the first derivative of 0*i + t*i**2 - 5 + 7\/12*i**3. Factor u(c).\nAnswer: c*(7*c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 2*h**3 + 0*h**3 + h**3 + 3*h - 3*h + (0 + 0 - h**2)*(-3*h + 0*h + h) + h**3 + h**3 - h**3 - h + 3*h**3 + h)*(4 - 1 + 0)*(-2 - 4 + 3).\nAnswer: -72*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/((-2)\/(-4)). Which is the closest to -2\/5? (a) n (b) -0.3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30644 and 174736?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.8928 rounded to 0 dps?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + 2 - -5) + -78 + 71?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*y - 0. Suppose 2*t + 4*t + 2142 = 0. Let z = -1084\/3 - t. Does y = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -154.\nAnswer: -5\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002904264 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 less than -141678.43?\nAnswer: -141651.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 6*i + 6. Let d be j(-6). Let q(h) = 0*h - 2*h + 12 + 5 + 3*h. Let c be q(-13). Calculate the highest common factor of d and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122999556.1 rounded to the nearest 1000000?\nAnswer: 123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**2 + 74*u - 9. Let b be z(-15). Suppose -12 = 3*m, 0 = 2*w - m + b*m - 13502. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6))**(-1\/6)*(z**(3\/14)*z)\/(z\/z**(-22)) assuming z is positive.\nAnswer: z**(-291\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b**2 + 10*b**2 + 4*b**2 - 13*b**2.\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 283111, 566033, 848957, 1131883, 1414811, 1697741?\n\"Answer: i**2 + 282919*i + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6213390 to the nearest ten thousand.\nAnswer: -6210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 21211535?\nAnswer: -21211533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*m - 2, -4*m - 2*a + 4 = -0. Let p be (1 - 2)\/(-1) + m. Let s(k) = -k**3 + 5*k**2 - 2*k - 4. Let x be s(4). Sort -5, p, x in descending order.\nAnswer: x, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.6 - -5. Let l = -1.4 + z. Let r = -4.99 + -0.01. Which is the third smallest value? (a) l (b) r (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6626426 and 2423.\nAnswer: 6628849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/515, -2, -2115\/97?\nAnswer: 2\/515","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.59 from 25391712722.\nAnswer: 25391712721.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 0*f - 10. Let a(x) = 18*x**3 - 2*x + 3. Let d be a(f). Calculate the greatest common divisor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*h + 18*h - 2*h + 9*h in the form z*h + m and give z.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3324 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -1\/2*j**2 + 39*j + 0*j**3 + 69\/5*j**5 + 125 + 0*j**4. Find the second derivative of f(x) wrt x.\nAnswer: 828*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 4*t - 6. Let i(r) = -3*r**2 + 8*r + 9. Let d be i(-1). Let c be -1 + 6\/(-1 - d). Calculate n(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 11*w**2 + w. Let n(k) be the first derivative of k**2\/2 - 153. Determine q(n(z)).\nAnswer: 11*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 15*v - 10480 = -19*v, -4*v + 13098 = 5*r. Suppose -4*g - 3*n = -12197, -r = -3*g - 2*n + 6529. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1276243 divided by 2?\nAnswer: -1276243\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 4*a - 15, 2*a - 5*z = -6 - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49934 is divided by 1189.\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -0*w + 5*w. Let q = 19 - w. Which is greater: 8 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 11:31 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 + 6 + (-215)\/(-2). Which is bigger: h or 104?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -75*q**2*x**3 + q**2*x + 3589*q**2 + 8315727*x**3 wrt q?\nAnswer: -150*q*x**3 + 2*q*x + 7178*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6) - ((-39)\/9 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20204*-8.9\nAnswer: -179815.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*sqrt(2700))\/(sqrt(1296) + 3*sqrt(1296) + sqrt(1296)) + 4).\nAnswer: -16 + 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n**3 - n**3 + 0*n**3)*(3*n + 0*n - 2*n) + 44*n**4 - 874 + 874 as t + s*n + a*n**2 + q*n**4 + w*n**3 and give q.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 19 = c, -734*c = -2*d - 737*c + 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -10 - -5 - ((3 - 3) + -12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 9*a**2 + 38*a + 17. List the prime factors of h(14).\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151932094?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 1200831791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38073)\/(-39886)*(-2)\/(-28).\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/7 + (-16)\/(-7). Suppose 4 = -5*m + k, 2*k + 5 = -n*m - k. Let g = m - -5. Calculate the highest common factor of 36 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2506 - -2495. Let c(n) be the third derivative of -n**5\/60 - n**4\/2 + 2*n**3 - 2*n**2. Calculate the remainder when 64 is divided by c(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*p + 1611512 = 15*p. What are the prime factors of p?\nAnswer: 2, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (-3 - -125 - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiip when four letters picked without replacement from ppppppipppiipipppp?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 1)*(4 + 2*o**2 - 4) - 3*o**2 + 0*o**2 + 4*o**2)*(0*o**3 - o**3 + 4*o**3).\nAnswer: 9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6 - 5 - 3*c**2 - 3*c - 1 - c**3. Let x be y(-2). Suppose -22 = -x*n - 0*n. Solve -5*r - n = 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/12 + 61\/12 + -6. Put 5, -4, -2\/5, f in decreasing order.\nAnswer: 5, -2\/5, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 215 and 311277.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 57*i**3 - 8*i**2 + 18*i + 16. Let o(d) = -113*d**3 + 15*d**2 - 34*d - 30. What is 8*o(r) + 15*v(r)?\nAnswer: -49*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -345 (b) 1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*11\/10)\/((-3092)\/(-15460)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1. Let b be 3 - (1 + (6 - 4)). Suppose b = 5*s - 3*u + 20, s - 5*s - 3*u = 16. Let n be (6\/s*2)\/(-3). Let x(m) = m - 1. Give n*x(g) + 4*z(g).\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/197 + -601\/985. Let j(g) = 2*g**2 - 1. Let k be j(1). Which is the closest to k? (a) l (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17 (b) 1\/11 (c) -12\/29 (d) -1\/5 (e) 0.2 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-425)\/1020)\/(10\/6). Which is the fourth biggest value? (a) 3\/2 (b) 5 (c) h (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + -0.2. Suppose -4*z - y + 217 + 90 = 0, -z - 5*y = -72. Let h be (2\/3)\/(z\/(-33)). What is the biggest value in h, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 8*c = 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8198*y**4 - 164*y + 8026874?\nAnswer: 32792*y**3 - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-1)*(-2)\/13*416\/80?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 - 26. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5783245 divided by -5\nAnswer: -1156649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*l - 148*c**3 + 2336*c**2*l + 243*c*l - 22*c + 3*l - 5 wrt c.\nAnswer: 12*c*l - 888*c + 4672*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*d + 41*d - 5 = 73*d, -76 = -5*q + d + 3*d for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f + 1. Let s(k) = -11*k**2 - 3*k + 1. Let g be s(-3). Let d = 88 + g. Calculate q(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470720 divided by 20?\nAnswer: 23536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/3 (b) 5 (c) 3 (d) -1\/3 (e) -0.27698\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1236, -2532, -3828, -5124, -6420, -7716?\nAnswer: -9012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 76*r + 16. Determine i(-4).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082202551 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 2, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*o - 15 + 6, 36 = -o + 4*c. What is the nearest to -2\/7 in 1\/129, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1902052 rounded to three dps?\nAnswer: 2.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**5\/60 - 3516*z**2. Let j(i) = 15676*i. Determine j(w(g)).\nAnswer: -15676*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 237.9 to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1)**47\/((g**(-2\/5)\/g)\/g)**(-2\/23))**(-4\/7) assuming g is positive.\nAnswer: g**(-21524\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(25300\/90) - (-4)\/22.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159377 is divided by 70.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, y: 1, q: 1, g: 3, l: 4}. What is prob of sequence lyg?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -20. Suppose -f*g = -3*u - 0*u - 55213, g - 11065 = -5*u. Suppose j - g = -245. What is j rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(8)\/sqrt(2)) + (sqrt(3) - (2*(0 + sqrt(3)) - sqrt(3))))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(272) + 2)**2*-4 + (1*(sqrt(272) + -1) + (sqrt(272) - ((sqrt(272) - (-1 + sqrt(272)))*3 + sqrt(272))))**2.\nAnswer: -6336 - 416*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 17*d**6\/120 + 23*d**5\/60 - 621*d**3\/2 + 41*d**2 - 2. Differentiate a(h) wrt h.\nAnswer: 51*h**2 + 46*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -758 less than -758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -288, -551, -958, -1557, -2396?\nAnswer: -3523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -331 + 210?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -62, -69, -76?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 331*t + 32. Let u(m) = -116*m - 11. Let h(r) = -6*c(r) - 17*u(r). Let v(g) = 7*g + 2. What is 3*h(w) + 7*v(w)?\nAnswer: 7*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 + -23?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8387985.058761 + 4.\nAnswer: -8387981.058761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1413553 + -4?\nAnswer: 1413545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2081*z + 7821 = -2070*z. What is the greatest common divisor of z and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4434 (base 6) to base 9\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 25*n**2 + 19*n + 57. Give c(24).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 4. Let u = x + 1. What are the prime factors of -2 - -3*14\/u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-45)\/20)\/(-9))\/(6\/(-8)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2025372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-13)\/a*a*a\/(a**(-8)\/a)*a assuming a is positive.\nAnswer: a**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1472.6 and -8870.\nAnswer: -10342.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -66*d**2 + 2. Let z(h) = 6*h**2 - 5. Let g(i) = -5*i**2 + 4. Let y(f) = -5*g(f) - 4*z(f). What is y(s(x))?\nAnswer: 4356*x**4 - 264*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence deea when four letters picked without replacement from eadyeyeev?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b729 - -2?\nAnswer: 3b72b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*n = 1614 - 635 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 11) to base 7.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83*b**3*t**6 + b**3*t**4 - 2*b**3*t**2 + 1018*b**3 wrt t.\nAnswer: -9960*b**3*t**3 + 24*b**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 967703.\nAnswer: 11, 87973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**5\/60 - 2*m**3\/3 + 4*m**2. Let g be k(-3). Suppose g*f + f = 18. Solve -2*s + 10 = f*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 558*h - 1. Is l(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, z: 2, b: 1, t: 3, p: 2, l: 1}. Give prob of sequence tz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**3 + 4\/3*a**2 - 4\/3*a**4 - 4\/3*a + 1\/3*a**5 + 0 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwu when three letters picked without replacement from wuuuuuuwuw?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3608, -7109, -10610, -14111, -17612, -21113?\nAnswer: -24614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4 (b) -26 (c) -292.9 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 97, 168, 231, 286, 333?\n\"Answer: -4*d**2 + 83*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 - 38. Let k(r) = -17 - 13*r - 14*r + 59*r - 11*r - 12*r. What is the units digit of k(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2447507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**3\/6 + t**2\/2 - t. Let w(p) = 2*p + 3. Let c(r) = 2*w(r) - 5*x(r). Let n(d) = 2*d - 4. Determine -3*c(s) - n(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 13952 - 468 = -f. Calculate the remainder when f is divided by 94.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**2*l*o + j**2*l*v**3 + 6*j**2*l*v - 28*j**2*o*v - 2*j*o*v**3 + 3*j*v**3 + 8*l*v**2 with respect to o.\nAnswer: j**2*l - 28*j**2*v - 2*j*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5516, -11055, -16594, -22133?\n\"Answer: -5539*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -48*u**3 + u**2 - 11*u - 161. What is the second derivative of r(p) wrt p?\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -5 + (-1 - -1) + (44 - -14 - 58).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 35*a - 78. What is n(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-30) + 4\/6 - 234\/90?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 10*s - 5*s - 7*s + 0*s. Let j(o) = -3*o**2 + 2. Let c(t) = 12 - t**2 - 9*t**2 - 5. Let v(l) = 6*c(l) - 21*j(l). Calculate v(n(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 206\/35 + -44\/7. Let q = 1973 + -9863\/5. What is the nearest to r in -2, -0.5, q, 0.12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.2854837 to one dp.\nAnswer: 39.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c + 12*c + 0*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 0 - 43*a**2 + 1 + 7*a**3 - 54*a**2 + 104*a**2. Let l(j) = -j**3 - j**2. Determine -5*l(c) - m(c).\nAnswer: -2*c**3 - 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 - 92*a + 6*a**2 - 7*a**2 + 92*a + a**2.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 17 = 2. Let n be 36\/6*((-7)\/s + 3). Find the common denominator of 64\/(-18) - (4\/n - 2) and -71\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 15 = 5. Suppose -2*i - l*i = 8. What are the prime factors of (10 - i - 2) + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 5:51 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d0d - 8dcd?\nAnswer: -acdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*d**2 + 69*d**2 - 13*d**2 + 7 - 26*d**2 - 9*d in the form w + g*d**2 + t*d and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -163187356 take away -665?\nAnswer: -163186691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*j - 1324, -2*s - 3*j - 972 = s. What is the common denominator of (2\/4)\/((-56)\/s) and 46\/(-69) - (-7)\/(-30)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608*h - 605*h + 9 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.22, -0.02, 6\/5, -3, -118\/45, 4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4768 is divided by 585?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {s: 2, l: 4, h: 8}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*l - f, 2*l = 7*f - 2*f - 6. Let a be -2*2*(-2)\/(-8). Let k = a - l. 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 l = -33 + 83. Suppose -2*c = 8 - l. Let o(g) = -4 + 18*g**2 - c*g**2 + 4. Let w(t) = -14*t**2. Calculate o(w(y)).\nAnswer: -588*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyy when three letters picked without replacement from {y: 3, l: 5}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1220 - 3661 + 1225 + 1217. Let j(d) = -d + 11. What is -2*g(h) - j(h)?\nAnswer: h - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 62991116374 minus 0.03?\nAnswer: 62991116373.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0083377806 rounded to six dps?\nAnswer: -0.008338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -2. Factor w - w**4 + 0 - 2 - 2*w**l - 7*w**3 + 7*w**2 + 2*w**4 + 2*w**5.\nAnswer: (w - 1)**3*(w + 2)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 12:05 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 9. Let x(m) = -m**3 + 9*m**2 - m + 4. Let d be x(9). Let g be h(d). What is the smallest value in -8, g, -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -2*n**3\/3 - 3*n**2\/2 - n + 8. Let d = 0 - 2. Calculate x(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 6:27 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t + 23. Let d(k) = -3*k + 22. Give -6*d(a) + 5*s(a).\nAnswer: 3*a - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/12 and ((-14)\/(-7))\/(3\/(6\/416))?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*h + 6 = -33, 4*h = -20. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**4\/13 + 206*i**3\/13 - 404*i**2\/13 = 0?\nAnswer: 0, 2, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13407298603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) -38 (c) 3 (d) -14 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 41cc8 - 0?\nAnswer: 41cc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13, -20, -25, -28, -29, -28, -25?\n\"Answer: j**2 - 10*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 8. Suppose 2*r + 1 = 2*p + 79, -5*p = d*r - 43. Calculate the greatest common divisor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5446492\/583 - (-4)\/(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 24*q**2 - 23*q + 10. Give d(23).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 205 divided by 68\nAnswer: 205\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -126\/26255683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**3\/6 + h - 38. Let m(t) = 13*t**2 + 2. Calculate m(q(x)).\nAnswer: 13*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 1\/142, 15, -4\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*g - 16. Let x = 9 + 1. What is the remainder when -1 + -2*58\/g is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10752508 - 76*a + 21505022 - 10752514 - 386*a.\nAnswer: -462*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 13. Let h be d(10). Let f = 0.1 + -0.1. Let m be ((-192)\/(-352))\/((-8)\/(-22)). What is the biggest value in f, m, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 376 and 28.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1668.3 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6839 and -69.\nAnswer: 471891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 2*z - 1. Let a(b) = b + 1. Let x be a(-2). Calculate v(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4261, 4264, 4267, 4270, 4273, 4276?\n\"Answer: 3*j + 4258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*t - 20 - 16 = 28 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*u**5 + 43986*u**3 - 146081713*u**2 wrt u?\nAnswer: 360*u**2 + 263916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -22 + 74 - d - 31. Suppose 3*g - 40 = -4. Is f(g) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrrkkkrrrrk. Give prob of sequence kkkr.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(9*(-6)\/(-270)). Let t = 11 + 2. Suppose -3*a + 2*a = -2*f + 9, 4*f - 21 = -a. Sort t, q, -1, a in decreasing order.\nAnswer: t, a, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -78402, -156811, -235234, -313671, -392122, -470587?\n\"Answer: -7*f**2 - 78388*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 112 = t + 85 - 17 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 91. Let p = t + 12. Let g = p - -55. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14\/(-6))\/(3\/(-45)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1890?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Let l be -3*(-20)\/3 - g. Suppose -4*v + 32 = 3*n - 3, -5*n + l = -v. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.007 to zero decimal places.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 4*o + 1. Let l be u(3). Suppose -9 = -9*p - 81, -4*a + 92 = -4*p. Solve -l*j - a = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -229*p - 188*p + 267*p + (2 + 0 - 1)*(-3*p - 3*p + 5*p) - 4*p + 5*p - 2*p to the form g + l*p and give l.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000111000010111001 (base 2) to base 8.\nAnswer: 1070271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 + 2*s - 2. Let g(t) = -t**2 - 6*t - 7. Let n be g(-5). Let f be j(n). What is the second derivative of 5*m**4 + 3*m - 4*m - f*m**4 wrt m?\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 10 = 50. Let j(s) = s**3 - s + 1. Let d(y) = 3*y**3 - 4*y + 4. What is q*j(u) - 5*d(u)?\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*z**4 + 23*z**4 + 11*z**4 + (-7 + 7 + 5*z**3)*(-4*z + 0*z + 2*z) to l*z**2 + q*z + v*z**3 + f*z**4 + t and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59\/299 + 1\/23. Let z = 3726.7 + -3727. Is z equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0305 + -0.6?\nAnswer: -0.6305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 5. Let y be v(-4). Let m(r) = r**2 + r - 1. Let c(j) = j**2 + 3*j - 4. Let i(f) = y*c(f) + 2*m(f). Is i(7) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -4\/149.\nAnswer: -5, -4\/149, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p**3 + 2*p**2 - 1. Let f be z(-1). Let u be (-1)\/(1 - 6\/f). Is 44*((-65)\/u)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -85, -119, -161, -211, -269, -335?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 11. Solve i = -2*i - b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 - 55. Suppose 3*i + w*p = 39, 2*p + 12 + 64 = 4*i. Find the first derivative of 6*x**2 + 9 + 17*x - i*x wrt x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c + 25. What is j(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -1\/4, 0.4, -5, -266\/1671, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66541 + 21001 = -4*v. Does 69 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/15*(-80)\/64*2\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*j - 2168, -6*j - 1450 = -8*j - l. List the prime factors of j.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7168477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-2*x + 4*x + 0*x) + 4*x - x + 0*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -15345*j. Let s(f) = 561*f. What is q(s(w))?\nAnswer: -8608545*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2243214*n**5 - 402*n**2 + 8*n + 81 wrt n?\nAnswer: -134592840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8270 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/38 - 7938469\/1149918.\nAnswer: -43\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-3 + 242\/82). Let d = w + 58. Suppose 3024 = -f + d*f. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012562 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 12:28 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4365, 8648, 12883, 17064, 21185, 25240?\n\"Answer: -y**3 - 18*y**2 + 4344*y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.04 + -6. Let i = -0.96 - t. Let v = -185 - -1297\/7. What is the closest to 2 in i, v, 2\/15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**3 - 6*k**3 - k**3)*(15 - 4 + 37) - 2*k**3 + 4*k - 4*k to the form g*k**2 + p + l*k**3 + s*k and give l.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 1 (c) -2\/15 (d) 2 (e) 1\/4 (f) -3 (g) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 - -2.7. Let p = 1.2 - k. Let h = p + 0.204. What is h rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1899 - -3)*-1*(3 - 1). Let t be 8\/28 - n\/14. Suppose 4*f + t = 4*i, 4*i + 2*f - 256 = 40. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*d + 12. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 659 + -1099. What is k rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2\/2 + 27041440*z - 73123947727360.\nAnswer: -5*(z - 5408288)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.07 - 12. Let y = v - 1.37. Let u = y - -0.3. Is u >= -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 187*l + 7839. What is q(-120)?\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*g + 4 = -172*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 157032 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 350316\/55 and 6368 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12587 by 848.\nAnswer: -12587\/848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.2, 2\/7, 2\/59, 3, -3 in decreasing order.\nAnswer: 3, 2\/7, 2\/59, -2.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 + 3*l**3 + 114669*l**2 - 114669*l**2.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1218 or -18?\nAnswer: 1218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6197972 + 2.62. What is h rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27302420 and 6360.\nAnswer: 163814520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x + 92. What is the remainder when 90 + -4*1\/2 is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - 1011100?\nAnswer: -1011122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -6. Let y = -0.75 - -0.75. Let t = -2 - -9\/5. Which is the second biggest value? (a) x (b) t (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 422 in -1, 30, -3\/2, -7?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 10*z + 3935. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 7. Let r be p(6). Let l be (-5)\/10*(-1 + r). Which is bigger: l or -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-6))\/(5\/75). Solve 2*i - 4*i = 0, 3*i - 25 = w*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.03 and -9086500.\nAnswer: -9086500.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11250*n**4 - 1161*n**3 + 1108555*n**2 - 40 wrt n?\nAnswer: -270000*n - 6966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q - 1. Let v be f(-1). Solve i - 2*i = v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.649 + -0.435. Let u = 0.244 - p. Put -0.5, -9, u, -2 in descending order.\nAnswer: u, -0.5, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 490528276 and -0.14?\nAnswer: 490528276.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -28*q + 122. Calculate x(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-1)*((-56)\/(-24) + 24\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1336778 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m*o**3*t - 3*m*o**2*t - 31*m*o**2 - 41*o**3*t**2 - o*t**2 wrt o.\nAnswer: -12*m*t - 246*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1574 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, u: 10}. What is prob of sequence llll?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/21*((-14853)\/(-6) + 1). Let z = u - 26377\/16. What is the common denominator of 59\/40 and z?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 6:36 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s - 2. Let d be (5 + 10)*(2 + -2 + 1). Let n be d\/(-6)*6\/(-5)*1. List the prime factors of j(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14434 (base 8) to base 9\nAnswer: 8732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2\/15 - 112*v\/15 - 72\/5 = 0. What is v?\nAnswer: -54, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -449 + 420. Let n = 8298645.000111 + -8298674. Let d = p - n. Round d to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1817 and 3.\nAnswer: 5451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 5*v = 3, -3*a + 1891*v = 1896*v + 42 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/16881907 and 17\/14?\nAnswer: 33763814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhwkqpkpwkwzkkkkw. Give prob of picking 1 k and 1 h.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 108\/(-60) + 1\/(-5). Which is smaller: -5\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -293*w**5 - 32393*w**3 + 32393*w**3 + (-2*w + 2*w + w**2)*(-2*w**3 - w**3 + w**3).\nAnswer: -295*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9 - -3)*(-6)\/4. Let h(v) = v**2 - 9*v + 2. Let i be h(a). What is the second derivative of 2*r**i + 0*r - 3*r + r wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-3 + 8))\/(-3*(-3)\/(-42))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*g + 4*p, -2*g + 4*p = p - 27. Which is bigger: 9\/2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 6*z + 5. Let g be s(6). Find the second derivative of 3*t**g - t + 1 + 0*t**5 - 1 wrt t.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/8265*675\/(-45)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55798?\nAnswer: 2, 23, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z - 1. Let f be s(-4). Suppose j + 64 = 2*i, -i = 2*j - 11 - f. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -21 - (-23 + 25). Sort r, 5, -1, 1.\nAnswer: r, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 6*m = 2*m + 37, o + 5*m = 10. What is the remainder when 105\/1 - (o + 4 + 1) is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 6 = 2. Let c(j) = j + 9. Let k be c(t). List the prime factors of 4*((-18)\/(-8))\/k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 + 21*q**2 + 11*q + 17. Determine h(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 9*t + 27. Let h be b(5). Calculate the highest common factor of 14 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-390000)\/9)\/((11\/(-1005))\/(-11)). Round o to the nearest 1000000.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12.09, -6\/11, -3 in descending order.\nAnswer: -6\/11, -3, -12.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 54273 = 34354. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -36 - (40 - 42). Suppose 346 = j*w - 616. Suppose -4*g + 0*g + 404 = 0. What is the remainder when g is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 - (-15 - 4247 - -1) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20125255 to the nearest integer?\nAnswer: 4486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + 2*sqrt(448) + 0)**2 + (sqrt(7) - (sqrt(847)*1 + sqrt(847))**2 - -5*(sqrt(14)\/sqrt(2))**2).\nAnswer: sqrt(7) + 679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t = -4 + 78 + 14 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 17*b**2 + 32*b - 35. Suppose 6*q + 146 - 461 = -15*q. Determine l(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09182 in -3, 2, -10, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1739 to the nearest 10.\nAnswer: -1740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12111112 - 10101?\nAnswer: -12121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149115.8 minutes in hours?\nAnswer: 19151.93","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(110)\/sqrt(10))*4*1.\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276*p + 281*p - 20 = 0. Calculate the common denominator of 120\/22 + 2\/(-2) and (873\/(-48))\/(-1 - 2\/p).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w**2 + 0*w**2 + w**2)*(8432*w - 4117*w - 4046*w) to y + p*w**3 + x*w**2 + b*w and give p.\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 32 + 27 + 13 = -4*a - 2*m, m = -2*a + 5*m - 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/453894 and -103\/111204030.\nAnswer: 111204030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 678.3254 nanometers?\nAnswer: 0.0000006783254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*q - 25 = -355*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = -6*u - 637. Which is bigger: -156 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + 7*b - 44. Let r(c) = c**2 - c - 1. Let v(n) = d(n) - 4*r(n). Find the first derivative of v(i) wrt i.\nAnswer: -4*i + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005279857 to four dps.\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2\/25, 4\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.6 - 12.1. Let j = x + 4.499999959. What is j rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73 divided by 4\nAnswer: 73\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3896*z + 13. Let v be b(8). Let y = 872979\/28 - v. Calculate the common denominator of y and -46\/3.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by -1.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 2 = -6*g, -4*g - 166 = y - 194 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*-3 + 1 + sqrt(931) + sqrt(931))**2 + sqrt(931) + sqrt(931) + -4 - (3 + 0 + sqrt(931) + -5).\nAnswer: -7*sqrt(19) + 930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 0*x + 0*x**4 - 1\/20*x**5 - x**2 + 0*x**3 - 4. Let u(z) be the second derivative of y(z). Factor u(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v**2 - 32*v - 5. Let x be b(-4). Calculate the least common multiple of (-2 - -200)\/(x - (3 - 9)) and 27.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 - (1 - (2 + -34)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and -9862053644.\nAnswer: -9862053638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0666 - -0.1425. Let g = -0.07033 + f. What is g rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/10)\/((-12)\/(-8)) + 13\/5. Which is the smallest value? (a) -5 (b) -1 (c) -31 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 844781?\nAnswer: 7, 17, 31, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1734463054?\nAnswer: 2, 53, 173, 94583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1301637520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.82929221 rounded to three decimal places?\nAnswer: -0.829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*(1 - -3991). Suppose 3*u - o = -u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 3.2. Let v = -13.4 + 25.1. Let f = -12 + v. What is the biggest value in 5, f, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5750733*a**4*p**2 - 2*a**2 - 95*a*p**2 - 6037*p**2 + 2 wrt a.\nAnswer: 138017592*a*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -1766) + (-18)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from rzybycdz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuvvuvvuu. What is prob of sequence uu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1404 and 119\/1926?\nAnswer: 150228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5434154521 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 -1\/2, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Let g(o) = -4*o - 1. Let u be g(-1). Suppose 5*m = -2*a - 6, -u*a - 4*m + 0 = 2. Solve -5*s + 7*b - 15 = w*b, -b + a = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -726461 (base 8) in base 13?\nAnswer: -85893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 - -60. Put -2, y, 1\/6, 5 in increasing order.\nAnswer: y, -2, 1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 - 29*z**2 + 85*z + 3. Calculate j(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*n = -0*q - 56, q + 5*n = 25. Is 14 a factor of 842\/q + 16\/(-80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5743, -1949, 1845?\n\"Answer: 3794*u - 9537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -367*u**5 - 2952*u**3 + 991*u**3 + u**2 + 967*u**3 + 986*u**3 + (-2 + 0 + 3)*(-3 + 3 + u**5).\nAnswer: -366*u**5 - 8*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 12:22 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + l - 1 - 10, a - 3*l = -9. Let t = a + 49. Calculate the lowest common multiple of 6\/33 - (-485)\/t and 91.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + r**2 + 6*r**2 + 5*r - 17. Suppose -s = -5*s + 24. Is c(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16004090 and 6705.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 0 + 0*t**4 - 290\/3*t**5 + 0*t**3 + 2*t**2 + 0*t. Let x be r(1). Round x to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r**2 + 12092*r + 4*r**2 - 12092*r.\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1197364.999992 + 1197373. Let j = 8 - s. What is j rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 25*v + 151. Let h be g(-10). Suppose 0 = -5*t + 8*t - 12. Solve -t*n + 11 = -h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*g**5*j + 4579*g**3*j**2 - 58*g**2*j + 605*j**2 wrt g.\nAnswer: -2940*g**2*j + 27474*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1) + 0 + 1 + 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - o. Let t(y) = -y**3 + 25*y - 8. Let l(m) = 6*j(m) + t(m). Let u be l(8). Solve 2*d - u = 4*q, 2*q - 5*d + 9 = 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-six fifths of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + -1)**2 + (0 + sqrt(2592) - sqrt(2592) - sqrt(2592) - sqrt(2592))**2.\nAnswer: -24*sqrt(2) + 10657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*h - 52, h - 18*x = -13*x - 2. List the prime factors of h*(-4)\/(-4)*(-191)\/4.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24 and -74.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 682620 to the power of 1\/2, to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20848, -20977, -21106, -21235?\n\"Answer: -129*o - 20719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 127 + 557?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 179*x - 167*x - 84 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 6:07 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 0)*(-4 + 1 + 1)*(15*k + 451 - 451) as d*k + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**4\/11 - 2330*q**3\/11 - 138608*q**2\/11 - 855400*q\/11 = 0.\nAnswer: -50, -7, 0, 1222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 4. Suppose 0 = -2*r - f + 4*f + 35, -3*r + 15 = i*f. What is the lowest common multiple of r and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/w**0)\/w)*w)**31\/(w**(-1\/2)*w)**16 assuming w is positive.\nAnswer: w**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 783605109?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2 = -7*b. Let i = b + 2. Factor -3*v**2 + 3 - 5*v**3 - i*v + 8*v**3 + 0*v**3.\nAnswer: 3*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -3 (c) -6.86 (d) 177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)*4*-4)\/((sqrt(80)*-2*-1)\/sqrt(10)).\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89449.\nAnswer: 89449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*sqrt(65)\/sqrt(5) - -1*sqrt(637)*4)**2.\nAnswer: 27508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 4*u. Let s be y(6). Suppose -j - 2*j = -s. What is the second derivative of -4*v**2 + j*v + 2*v + 2*v**2 - 3*v**2 wrt v?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110413059 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95\/6, 1\/3, 0.1, -2\/3, -3, 0.2 in descending order.\nAnswer: 1\/3, 0.2, 0.1, -2\/3, -3, -95\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 369 + -369. Suppose d - 5*p + 14 = 0, k = d - 2*p - 2*p + 11. Which is smaller: d or 2\/1293?\nAnswer: 2\/1293","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(4\/(-2)) - (29 + -31). Let c(f) = f**2 + 3*f + 3. Let z be c(-4). Let r = z + y. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.076 and -16.34.\nAnswer: -16.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 6*s - 4*s - 32 = 0, 4*t - 16 = 4*s. Suppose -t*q + 3*q + 25 = 0. Suppose 2 = -0*c - c, 221 = q*p - 3*c. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 3*f**2 - 206*f + 9. What is w(13)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -5*p**3 + 1730. Let z(w) = 15*w. What is z(l(a))?\nAnswer: -225*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 1\/5 (c) -2.6 (d) 11 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1\/4, -0.4, -0.8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 15*z + 7. Let o be j(-9). What is the units digit of 20\/(-90) - o\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113 - 112. Let g = -2 + 4. Suppose -11 = 4*v - 5*s, 4*v - 14 = -4*s + g. What is the remainder when d is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 15*s - 26. Let k be d(-12). Let r(i) = -i**2 + 10*i - 10. Determine r(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from {p: 4, g: 16}.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/6)\/(22\/(-7509)). Let i = m + -227. Which is bigger: -2\/13 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 + 1233502532?\nAnswer: 1233502504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -436*b**2 - 2172*b**2 - 32*b**2 - 1334*b**2.\nAnswer: -3974*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + 4*q + 288*q)*(-1 + 1 + q)*(2*q + 3*q - 3*q).\nAnswer: 572*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1244635 + 1862438. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 12:28 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18901 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46 + 202 - 24 - 60 + 1019*a - 58 + (-3 + 2 + 2)*(-a + 4*a - a).\nAnswer: 1021*a + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16192, -29830, -43468?\n\"Answer: -13638*s - 2554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2128, -2139, -2170, -2233, -2340, -2503, -2734, -3045?\nAnswer: -3448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57756 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: What are the prime factors of 14494166?\nAnswer: 2, 17, 109, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4148301973 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -339 - -349. Let y be (-17 - -14) + x*31. Which is smaller: y or 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 54*n**2 + 314*n - 40. What is the smallest common multiple of 23706 and p(-6)?\nAnswer: 237060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**7\/((z\/(z*z**4))\/z**(4\/3)))\/((z**4\/z)\/(z*z**0*z)*(z**(1\/2))**(-50)) assuming z is positive.\nAnswer: z**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-8)*(8 - 234\/27). Let d(a) be the first derivative of -5\/4*a**2 + 1\/8*a**4 - j*a - 1\/6*a**3 - 6. Factor d(y).\nAnswer: (y - 3)*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.766 + 1.266. Let m = -0.8 + -0.2. Which is the nearest to m? (a) q (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*(sqrt(833) + sqrt(833) + 2 + 1 + 1 - (1*sqrt(833)*-2 + 2 + 1 + sqrt(833))))**2.\nAnswer: 24192*sqrt(17) + 4318848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 21 - 9 - 9 - 70*h. Let v be l(2). What is v rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -340, 4\/3, -31, -0.037?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8)*(-1)\/4.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 18426224?\nAnswer: 18426222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -7) + -4 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 3578?\nAnswer: 3574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 - -4 - (-75)\/(-69).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 5:09 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/(-4)*(-611)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11274 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-27)\/6 - -5). Let a be 1\/(1\/j) + -328. Let p = a + 495. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -5*r**3\/3 - r - 50. Calculate q(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q. Let d(i) = 328*i**2. What is d(k(b))?\nAnswer: 328*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from yxoonkxokxkkxx.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(3 + 22\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1199870, -9598995, -32396618, -76791989, -149984358?\nAnswer: -259172975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 363, 725, 1087, 1449, 1811, 2173?\n\"Answer: 362*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217750407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8432, 10, -0.6 in decreasing order.\nAnswer: 10, -1\/8432, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 - 547*d + 1095*d + 4 + d**3 + d**2 - 543*d. Calculate b(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.5961538 to 3 dps.\nAnswer: 14.596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**5\/6 + 3*m**4 - 16*m**3\/3 - m**2\/3 + 11*m\/2 - 8\/3 = 0?\nAnswer: -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.27, 1\/5, -5 in increasing order.\nAnswer: -5, 1\/5, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 22 + f**2 - 20 + 32*f - 34 + f**2. Let v be p(-17). Solve 2*r = -3*j - 5, -2*j + 0 - v = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-15)*(5 + (-75)\/10). Which is the closest to 0.1? (a) 1 (b) 16 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.2 (c) 2\/5 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1186333029 divided by -3?\nAnswer: -395444343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 97.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44147219791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-44)\/(-40))\/(198\/495).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-27)*2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v + 49 - 131 + 82.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10bb0 (base 15) to base 3\nAnswer: -2201001210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (51 + 1)*(69\/6 + -3) is divided by 57?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*z + 131*z + 11 = 0. Are z and -1\/166 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r**2 - 6*r + 6. Let i(l) = -l**2 - l + 1. Let a = -17 + 11. Suppose 0 = 3*k - o - 8, -o + 8 - 12 = k. Give a*i(n) + k*w(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 326 + -326.1. What is the nearest to u in 3, 2\/7, -3, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 826*c - 823*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 13 = 3, 18 = 5*f + v. Let z = -26 - -35. Suppose -g + 2*y + 15 = 0, -66*g + 65*g - 4*y = -3. Solve 0 = s + 4*r + g, -3*s = f*r - z + 26 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*p - 15, -2*x - 3*x - 2*p - 3 = 0. Solve 5*j + 2 = w + x, -w - 5*j - 9 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 2. Suppose -5*m + l*m = 165. Find the common denominator of 2*(1\/1)\/m and -76\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 5*m**2 - 5*m. Let j be l(-6). Let q = 3 + j. What is the remainder when 16 is divided by (-75)\/(-9) - 2\/q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tee when three letters picked without replacement from tetette.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w. Let a(h) be the first derivative of h**2 + 291*h - 164. What is u(a(m))?\nAnswer: 6*m + 873","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 592 and 675990.\nAnswer: 5407920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 77.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w - 365. Determine p(60).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 7 - (1 - -3) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 11*n**2. Let v be z(11). Suppose p = -v*p + 5. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 4:27 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from yyayrryyayyyyy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 14 - 4 = 0. Suppose -40 = -y*o - 0*o. Solve 3*z + o = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2189572.8 rounded to the nearest 1000?\nAnswer: -2190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/880 and 103\/800?\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/13, -1890, 0.3, 6, 2, 5 in ascending order.\nAnswer: -1890, 1\/13, 0.1, 0.3, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 64*u + 395. Let r be g(-6). Solve -4*d + 35 = -r*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 63, 5\/4, -0.114, 1\/2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 - 157*c**2 + 3 - 25*c**4 - 2*c**3 + 2*c**3 + 157*c**2 to a*c**3 + w*c**2 + x + q*c**4 + m*c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 + 0*y - 30*y**3 + y**4 + 6*y**3 - 6*y + 8*y + 3 to x*y**4 + c + u*y**2 + h*y**3 + s*y and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 20757618?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -6. Let z = h + 7. Find u, given that -10*u**3 + 2 - 4*u**z - 3*u + 13*u + 2 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150 and 1149075.\nAnswer: 2298150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/302731 and 19\/189631.\nAnswer: 152273693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 78 (b) -12 (c) -1 (d) -99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, 5\/4 in decreasing order.\nAnswer: 7, 2, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34304886 is divided by 5312?\nAnswer: 5302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 7*v**2 + v + 1. Let f be i(7). Suppose f*m = 3*m. Suppose 4*y - 148 - 1936 = m. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**3 + 38*h**2 - 9*h + 19. Is t(7) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y. Let i(k) = -k**2 - 3*k + 3. Suppose 47 = -2*l + 3. Let n(b) = -4*b**2 - 11*b + 11. Let d(w) = l*i(w) + 6*n(w). Give s(d(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9787, -19138, -28485, -37834, -47191, -56562, -65953?\n\"Answer: -n**3 + 8*n**2 - 9368*n - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2 - 4*b + 4. Let n(t) = 2*t**2 + 3*t - 3. Suppose 4 = -10*j + 11*j. Calculate j*p(c) + 5*n(c).\nAnswer: -2*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/7 + 82\/14. Suppose -9 = l*y - 9*y. Suppose p - 22 = 5*v, -y*v = 3*p + v - 104. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-2)*-1*10\/(-20). Suppose -z + 10*r = 15*r - 617, w = -3*z + 4*r + 1889. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.8568616 to 1 decimal place.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -84*k**2. Let w(j) = 3234*j. What is y(w(m))?\nAnswer: -878535504*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s. Let h(a) = 7*a + 5. Let b(n) = h(n) + v(n). Let k(q) = -27*q + 78. Let r(t) = -12*t + 32. Let g(w) = 5*k(w) - 12*r(w). Determine -6*b(i) + 5*g(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u - 2*i + 25, 4*i + 6 = 2*u. Let v = 31 + u. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*x**4\/11 - 144*x**3\/11 - 1026*x**2\/11 - 1620*x\/11.\nAnswer: 6*x*(x - 30)*(x + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6612.\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 + 24 = -8*m. Let w be (-3)\/(-2)*4\/6. Solve 4*i = -m - w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/2 + 4 + -2. Does 19 divide 3 + (-3 - (-96)\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from {k: 1, d: 1, x: 1, j: 5, m: 1}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/6952576 and -43\/16.\nAnswer: 6952576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t**(-1\/21)\/t)\/t)\/(t*t*t**(8\/7)))**(1\/7))**13 assuming t is positive.\nAnswer: t**(-1144\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.7 or -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -13*r**2 - r. Let x be o(-1). Calculate the common denominator of (-70)\/(-12) - (-2 - -1) and (-273)\/(-15)*10\/x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4683503 is divided by 425773.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 6*j**2 - 2*j - 9. Let u be z(-6). Let k(r) = 1 - u + 75*r - 76*r. Calculate k(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/58 and 17\/7?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 + 4*k**2 + 3*k + 2. Let x be r(-2). Let c(j) = 3*j**2 + 3*j - 3. Let i be c(x). What is the highest common divisor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**6\/120 + z**4\/24 - z**3\/2 + 12*z**2 - 1. Suppose 4*s = 5*s - 6. Let q(w) = -71 + 141 - 71. Give s*q(u) - 2*c(u).\nAnswer: 2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 29*q + 9. Let z be u(0). Let p be (-48)\/4*(-1 - 0). Which is smaller: z or p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2234, -9036, -20378, -36266, -56706, -81704?\nAnswer: -111266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.413 - 4.213. Which is the closest to g? (a) 1\/7 (b) 1\/4 (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, -646, -1382, -2118, -2854?\nAnswer: -3590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 5*p**2 - 4*p - 1. Let n be k(3). Which is the third biggest value? (a) 1\/8 (b) -3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(2*(sqrt(98) + 0) + -6*(4 + sqrt(98))).\nAnswer: 25 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 19*z - 30. Let j be h(-17). Suppose -j*l - 5 = -k - 2*l, -2*k - 5*l - 26 = 0. What is the nearest to k in 4, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -4. Solve -d - 1 = t*c, -19 = -3*d - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqa when three letters picked without replacement from {l: 3, q: 1, a: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v - 9*v - 12*v - 7*v + 32*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -29. Suppose -12 = -3*l, -r*d + l = -d - 2360. List the prime factors of d.\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 16912*t + 204. Is 324 a factor of i(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 4. Suppose -1 = 2*r + 11. Let j be l(r). What is the greatest common factor of j and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 46387.\nAnswer: 371096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43*p + 58*p - 95*p + 241 + 7 + 83 - p - 3*p + 3*p + (2*p + 0 + 0)*(0 + 2 - 1).\nAnswer: 7*p + 331","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4)*(0*q - q - 2*q)*(-28 - 7 + 10).\nAnswer: -75*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44079 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/9 - 2*u**2\/3 - 4*u\/9.\nAnswer: 2*u*(u - 2)*(u + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 664, 3, -3\/8?\nAnswer: 664","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 2*s + 6. Let i be (-23)\/(-8) + 3\/24. Let u be m(i). Is (1\/2)\/(u\/1338) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2002 - 4?\nAnswer: -2006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28318275?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 - (-90)\/(-12))*1*-6. Which is the nearest to 0.1? (a) r (b) -4 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 214*q - 209*q + 3*g - 134824, -5*g = -5*q + 134880. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 3*x + 3467 - 3458 = 0, 0 = -4*a - 4*x - 24 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 - 0.49. Let n = f - -3.5. Let j = 1 + n. What is the closest to 0.1 in -5, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311, 558, 743, 866, 927, 926?\nAnswer: 863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4 - 2305156*a**3 - 48407982*a**2 - 338855188*a - 790661305 = 0. What is a?\nAnswer: -2305135, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-15 - -21 - (3 - 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.47 + -0.13. Let x = y - -1.3. Let d = -314 - -4708\/15. What is the closest to 2\/15 in x, -0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 4. Let m(d) = d**2 - 5*d + 5. Let x be m(5). Suppose -x*g - i - 30 = -0*g, 0 = 2*g - 2*i. Calculate p(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, y: 4, r: 1, s: 1, g: 3}. Give prob of sequence us.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (141 - 176) + -65 + 36?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-1)\/(-1)) + 15. Suppose 2*b - a = -b + w, 0 = -3*b - 4*w - 8. Determine r, given that -b*r**2 + r - 3*r - 5*r**3 - 3*r**2 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 2. Let f be g(2). What is the tens digit of 88\/5 - f\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/75 - (-26)\/30. Let j(q) = 114*q**2 + q. Is j(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 640.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*o + 7. Let x be (-33)\/33 + 1*8\/2. Let q(j) be the second derivative of j**3\/3 + 3*j**2\/2 + 3*j. Let g(f) = 5*f + 7. What is o*q(u) + x*g(u)?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*c + 65, 5*c - 17 - 53 = 5*f. Let b be (-1)\/(f\/120)*6. Calculate the highest common divisor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 16838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 - n + n)*(n**2 + n**2 - 4*n**2).\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-8))**3*((u*u**(1\/7))\/u)**(-4\/9))**40 assuming u is positive.\nAnswer: u**(-53080\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 132*m - 1137. Let o be i(-12). Is -2722 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 3. Let o be l(-5). Let n = -86 + 106. Calculate the remainder when o - -2 - (-58 - 0) is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhypc. What is prob of picking 1 c, 1 h, and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*b - 2*b. Let t(f) be the third derivative of 4*f**2 + 0 + 0*f + 0*f**b - 1\/30*f**5 + 0*f**4. Let l(r) = -5*r. Give l(t(q)).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 265 - -1?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1414981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3412130222 (base 5) to base 9.\nAnswer: 15155780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-44))\/(18\/8 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 + 13*t**2 - 289*t - 203. What is the thousands digit of f(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 7 + 42. Suppose s*j - 25 = 2*j. Suppose 5*a = -0*v + v + 77, j*v - 95 = -5*a. Calculate the remainder when 61 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*((-48)\/(-14))\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*t**2*z**2 - 73*t**2 + 1772*t*z**2 - 2*t*z - 4*t - 2*z + 1 with respect to z.\nAnswer: -4*t**2*z + 3544*t*z - 2*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -59823 divided by -9?\nAnswer: 6647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**3*j**2 + f**3*j*t**3 - 34*f**2*j*t - 258*f**2*t - 261*f*j**2*t - 2*f*j*t**3 + 4*j**2*t**3 wrt j?\nAnswer: -2*f**3 - 522*f*t + 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a - 494. Give p(-65).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*p + 298*d**2 - 6*d*p + d + 29*p + 1083 wrt d.\nAnswer: 4*d*p + 596*d - 6*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -24, -15, 3, -361, 1, 5.\nAnswer: -361, -24, -15, -3\/7, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s\/(s\/((s*(s**(2\/5)*s)\/s)\/s))*s*s**(3\/8)*s*(s*s**(2\/13))\/(s\/(s\/(s\/((s*s**(-5)\/s)\/s)*s*s))) assuming s is positive.\nAnswer: s**(-1597\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 1:56 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276\/(-23) + 22 + (1 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhr when three letters picked without replacement from hhhhffrhdhhrhffhff.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a**2 - 9 - 4*a + 14 - 8 + (a - a + a)*(2*a - 2*a + a) + 5*a**2 + 2 - 2 to the form c*a + d*a**2 + j and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144311937 and 462.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 12:30 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0\/z)**(-20)\/(z*z**5*z*z*z*z**(5\/3))*(((z\/z**3)\/z)\/z**(-8))**(1\/51) assuming z is positive.\nAnswer: z**(481\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 403811196 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 v, and 1 f when three letters picked without replacement from {f: 2, s: 1, v: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.01, 5, -4 in descending order.\nAnswer: 10, 5, 0.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*g - 17 + 5, 3*f + 2*g - 34 = 0. Let n(x) = -11*x**3 - x**2. Let a be n(1). What is the remainder when f is divided by a\/30 + 84\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/13735 - -1579567\/576870. What is the common denominator of 19\/36 and n?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, 2, -33 in descending order.\nAnswer: 6, 2, 0, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -450995328 divided by 782978.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53099 and -167?\nAnswer: -8867533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g. Let j(k) = k**2 + 2465*k + 39. What is j(t(a))?\nAnswer: 81*a**2 + 22185*a + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-36)\/p**(2\/115)*p**29*p*p*(p**34\/p)\/p assuming p is positive.\nAnswer: p**(3103\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 0 - 59)*(0*f**5 + 4*f**5 - 32*f**2 - 2*f**5).\nAnswer: -166*f**5 + 2656*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 2*k = -9*k. Which is greater: 1\/261 or k?\nAnswer: 1\/261","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8131*c**4 - 5485*c**2 wrt c.\nAnswer: 195144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 - 4*x + 2. Let d be u(-4). Let l = d - -18. Suppose 2*i - 3*i + l*y + 6 = 0, -4*i = 5*y - 66. What is the remainder when 39 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16479 less than or equal to 16478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 20*m + 41. Let c be u(-17). Suppose 4 = -2*w, -g + 8 = -0*w - 3*w. Suppose -g*r = 7 + 11. Do r and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -745*z + 378*z + 2860*z + 4440*z as j*z + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 166, 652, 1462, 2596, 4054?\n\"Answer: 162*j**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 2. Let g(q) = 3. Give -3*b(c) + 2*g(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 5, q: 1, u: 4}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(297)\/sqrt(11).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 659766050?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 76. What is the highest common factor of 14 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u - 4. Let d(f) = -f - 1. Suppose 539*b = 536*b + 9. Calculate b*n(j) - 8*d(j).\nAnswer: -j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 15, s: 5}. Give prob of sequence sssy.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 852498\/43 or 19827?\nAnswer: 19827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 4240 = -70*m - 135*m for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*b - 24 = 0, -3*d = -4*b + 2 - 20. Let i = d - 16. Which is bigger: -44\/5 or i?\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j - j**3 + 2*j**2 - 3*j + 4*j = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 148 + 19*o**2 - 148 as x*o + q + h*o**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 2. Let z be m(19). Let i be 6\/z - (1 - (-80)\/(-14)). Suppose -i*q + 958 - 258 = 0. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-176)\/20)\/(-38 + 42)\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -24247 in increasing order.\nAnswer: -24247, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + n + 2*n - 78631, 0 = l + 4*n + 15740. Let p be l\/11 - (-6)\/(-33). Round p to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 11*p**6\/30 + p**4\/4 - 587*p**3\/3 - 423*p. What is the second derivative of g(d) wrt d?\nAnswer: 132*d**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + j**2 + j + 95. Let p be v(0). Let c = p + -140. Is ((-6)\/9)\/(5\/c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/145019?\nAnswer: 2\/145019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 at most -1875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*b = 122*b - 551. Suppose -403 = -b*m + 6557. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhy when four letters picked without replacement from hhhhhhhyhhhhhhh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 11*q**3 + 0*q**2 - 7\/6*q**4 + 0*q**6 + 0 + 0*q**5 - 54*q - 1\/14*q**7. Find the second derivative of r(n) wrt n.\nAnswer: -60*n**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 31.3. Let r = f - -1.4. What is r rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*p - 66*p + 201*p - 2*p**4 + (2*p - 2*p - 2*p**3)*(3*p + 0*p - 2*p) in the form f*p**4 + r*p**3 + t*p + a*p**2 + b and give t.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*a**2 + 5960*a - 5960*a.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*b = 16*b + 63. Let r(z) be the second derivative of 1\/10*z**b - 1\/20*z**4 - 1\/10*z**2 + 1\/100*z**5 + 0 - 5*z. Factor r(v).\nAnswer: (v - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1536*x - 76265 + 22562 = 30777 for x.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -322?\nAnswer: -322.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217 - 222 + 439 - 34*f**2 + 35*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 13*h**2 + 2. Suppose -3*x + 11 + 28 = 0. Let f be u(x). Suppose 0 = -2*i - f*i + 4. Solve 2*q = i + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 75\/(-204) - (-4)\/34. What is the third biggest value in 1, a, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 3, -64396.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 1. Suppose 1 = 2*c - 3. Let g be b(c). Let n = -3.8 + 4. What is the closest to n in -0.2, 2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d + 51?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 4*j - 47. Solve 0 = -5*z - 4*y - j, -2*z + 0*y = -y + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 8056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 111926617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*(sqrt(187) + (sqrt(187) - (sqrt(187) + sqrt(187)*1*-5))))\/(sqrt(891) - sqrt(891)*-1*-2)*4.\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/81 and 41\/11.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0792 + -0.4792. Put -0.69, p, -1\/3 in decreasing order.\nAnswer: -1\/3, p, -0.69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**30*d)\/((d*d\/d**6*d)\/d) assuming d is positive.\nAnswer: d**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42 and -33.\nAnswer: -1386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 6:22 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/18 - (-1760)\/840. Let x = 97 - 69. Which is smaller: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*x - 12 = -7*x, 0 = 4*p + 5*x + 4. Suppose -14 = p*j + a, -2*j = -j + 4*a - 4. Let g be 1*5*1*1. Put 14, g, j in ascending order.\nAnswer: j, g, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (22 - 16)*1\/2. Suppose -k - 10 = -4*g, 3*g - 2*k = 2*k + 14. Solve -g*s - t*j - 12 = 0, 4*s + 4*j + 16 = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41148843?\nAnswer: 3, 1319, 10399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.141 and -5910.\nAnswer: -833.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 - 250*p**2 - 1300*p.\nAnswer: 2*p*(p - 130)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -405 or -408?\nAnswer: -405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (0\/(-1) + 2). Suppose -l + 6*l - 2*a = -83, -c*a - 55 = 5*l. Let k be (-1)\/(-5) - 72\/l. Calculate the greatest common factor of k and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76)*-2 + sqrt(76))*-3 - (3*(sqrt(76) + sqrt(76)*-2 + sqrt(76)) + sqrt(76)))\/((sqrt(216)*3)\/sqrt(6)) + -2)**2.\nAnswer: -8*sqrt(19)\/9 + 400\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 20 + 22)*(3*s**2 + 3*s**2 - 1 - 3*s**2) in the form g*s + k*s**2 + h and give k.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 4:17 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*v**3 - 2)*(1 + 2 - 2) - 2*v**3 + 5 - 5 + 2*v**3 - 51 + 51 + (2 - 2 - v)*(-2 + 2 + v**2) to the form r + i*v**2 + z*v + p*v**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 - 9*s + 1. Calculate p(-7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + -3 + 9)*6\/10. Suppose q*n - 886 = -304. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 19288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-16) + 3035\/(-280).\nAnswer: -68\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/3, 3\/5, -3, 3977, -1, -5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, m: 10, d: 1, e: 2}. What is prob of sequence dmm?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 21*n**2 - 6*n + 33. What are the prime factors of o(10)?\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -8*i + 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h = 17*h + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/5829300 and 13\/342900.\nAnswer: 5829300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 571, 598, 641, 706, 799?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*p + 145 = -283*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58 and 18\/15*45\/27?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 23*b - 2. Let o(y) = 300*y - 27. Let v(t) = 27*c(t) - 2*o(t). Let w(h) be the second derivative of -h**3\/6 + 4*h + 4. Determine v(w(u)).\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-99)\/(-22) + 6 - (-2)\/4. What is the third derivative of -103*b**5 - 244*b**5 + 105 + o*b**2 - 108 + 68*b**5 wrt b?\nAnswer: -16740*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -11\/768?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -4 + (8 - (6 - -10)) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1784)\/(-14) + 62\/(-2387)*-22. Calculate the highest common factor of 2192 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27*-38\nAnswer: -1026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -721100 to the nearest 10000.\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a68 - -4?\nAnswer: 4a6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t. Solve -4*y = -f + 6, t = 3*f + 3*y - 3 - 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -1, 10 in descending order.\nAnswer: 10, 7, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.939 + 0.061. Let t = 208.2 + -206.263. Let z = q - t. What is z rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 121\/((-2)\/((-50)\/275))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b + 3. Let a(r) be the first derivative of 8*r**2 - 16*r + 5379. Let c = -65 + 134. Suppose c = 5*s - 41. Give s*l(z) + 4*a(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/6)\/(6\/(-72)). Solve -q*r = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 2*q + 14. What is u(-8)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.029999068 - -1.03. What is o rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 2*u**2 - 3*u + 2. Suppose 2*j + 21 = -0*j - 5*w, 5*w = 5*j. Let s be v(j). Let y(f) = f**s - 5*f**2 + 3*f**2. What is y(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6) + 42\/(-36)*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 138 and -30.3.\nAnswer: 107.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4\/p)**42*(p\/(p\/((p**(-2\/11)\/p)\/p)))**(6\/37) assuming p is positive.\nAnswer: p**(51138\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 2\/((-84)\/130))*3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*r**2*u**3 + 1009*r**2*u**2 + 3*r**2 + 194*r*u**3 + 711*r wrt r.\nAnswer: -12*u**3 + 2018*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o - 543 = 0. Suppose -3*q + o = 2*r + 3*r, 3*r = 3*q - 519. Let u(c) = 16*c**3. Let j be u(1). Calculate the greatest common factor of q and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 3 (b) 5 (c) -3\/41 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7752 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 8, -44 in descending order.\nAnswer: 28, 8, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -203*j**2 + 47*j**2 + 90 - 318*j**2 - 436 wrt j.\nAnswer: -948*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/36705480 and -7\/2881640.\nAnswer: 2239034280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.009 (b) -1 (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*(19 + (-910)\/49).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 169226801?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 10*s - 38. Let h be n(13). Let d(r) = -2*r + 3*r**2 + 2 + 2*r - 3. Let p be d(1). Solve p + h = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 - 40 = 7*i. What is the remainder when 415 is divided by i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00061992 rounded to five decimal places?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4217\/4 + 1031. Let v be 2137\/(-4) - (-26)\/13. Let i = 10771\/20 + v. Calculate the common denominator of s and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1792)*-3)\/(sqrt(36)\/(sqrt(27)\/sqrt(3))).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -104.65673641.\nAnswer: -105.05673641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4\/7, 4, -2\/37 in increasing order.\nAnswer: -2\/37, 4\/7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + -1)*(-4)\/4 + -6. Let g be (1\/(-3) - -3)\/(z\/(-9)). What is the remainder when 69 is divided by (4 - 6\/8)*g + 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6881?\nAnswer: 7, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 9 (c) -2\/21 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*b = 80*b + 222. Is b <= -72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b - 34*b = -5*d, -4*d - 2*b = -0*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from {x: 5, u: 15}.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 2*n - 14355, 0 = -2*s - 4*n + 7*n + 5742. What are the prime factors of s?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -14*s**2 + 1443*s - 99. Let g be i(103). Sort g, 5708, 1 in increasing order.\nAnswer: 1, g, 5708","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/20 and -11\/46?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 t when three letters picked without replacement from lttlttttltttlrrl.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 112*s**2 + 4*s - 5068. List the prime factors of t(-114).\nAnswer: 2, 7, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -563*v**6\/30 - 89*v**3\/2 - v + 207. What is the second derivative of x(p) wrt p?\nAnswer: -6756*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-25 + 15)\/(0 + -2). Let i(k) be the second derivative of k**4\/12 - 5*k**3\/6 - k. Determine i(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (332\/90)\/(-1) + -42 + -58 + (-117156)\/(-1170)\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsyy when four letters picked without replacement from yzyesbssbsys?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*k = -752, 1141 = 3*j + 6*k - 7*k. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -7*i**5\/20 - i**4\/12 + i**3\/6 + 2*i. Calculate k(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*w + 0 + 0 - 2 + (1 - 1 - w)*(-2 + 6 - 3).\nAnswer: -41*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -633?\nAnswer: -638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 39324992.\nAnswer: 1\/19662496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 22. Determine v(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*m**2 + 4 + 2 - 11 wrt m?\nAnswer: 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 7)\/(0 - 1). Suppose -13 + 1 = -t*q. Suppose -q*b - b + 4*o + 290 = 0, -3*b - 3*o + 201 = 0. Does 31 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 4*c**2 + 2. Suppose 0 = 6*w - 2*w - 2*g - 282, -w - 5*g + 76 = 0. Let i = w + -62. Suppose -5 = -z - i. Determine d(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*c - 190*c = 35*c - 297 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*n + 32*n = -330. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iifziifwifiwwi. Give prob of sequence wwiz.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13896 + -7771. Let w be (c\/(-15))\/(2 - (-25)\/(-12)). Round w to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 63\/3*3\/9. Suppose 0 = -5*p - 2*z + w, 0 = 3*p - z - 1 - 1. Let v be ((-6)\/69)\/((29 - 23) + -8). Is v <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 - 988*q - 35848. Give k(-34).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 783563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 9*b - 1, -417*b + 8 - 2 = -2*g - 413*b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73904?\nAnswer: 2, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -734, -2351, -5426, -10427, -17822, -28079?\nAnswer: -41666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 6*q**2 + 13*q + 93. Let i be y(-5). Solve a + 2*r - r - 5 = 0, i*r = a - 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/44)*z*z*z*z**39 assuming z is positive.\nAnswer: z**(1847\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11279*m**3 - 22537*m**3 + 11253*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 448.99842 + -449. Round t to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/20629350 and 73\/555.\nAnswer: 20629350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3897645 (base 10) to base 8\nAnswer: 16674455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17104 - -1753?\nAnswer: -15131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-2\/3)*p**(-1\/7)\/p assuming p is positive.\nAnswer: p**(-17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(612) - (sqrt(612) + 1 - sqrt(612))*5) + sqrt(612)*1*-4 - (-1 + -3 + sqrt(612) + -3)) + -3)**2.\nAnswer: 48*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 366*n - 4815. What is g(-13)?\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 80?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5662305647.\nAnswer: 69163, 81869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**4 - 5*q**4 + 4*q**4)*(-6 + 5 - 1) + 2*q**4 + 0*q**2 + 0*q**2.\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23491 is divided by 7830?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.3790353 millennia?\nAnswer: 3.790353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12613, 12758, 12951, 13186, 13457?\n\"Answer: -i**3 + 30*i**2 + 62*i + 12522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**4 + 16*a**2 + 186?\nAnswer: 4*a**3 + 32*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94 - 2. Suppose -3*k - 5*c = -61 - 14, 0 = 4*k + 4*c - f. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 2*d**2 + 5*d - 4. Let z be g(-2). Solve 4*x + 0*x + 9 = -5*o, o + z*x - 3 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 4. Which is bigger: 3\/14 or c?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 1:56 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2337837449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5866\/13 greater than -450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.77085ns to microseconds.\nAnswer: 0.02177085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1056, -4197, -9430, -16755, -26172?\nAnswer: -37681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3462 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - -3. What is the remainder when c is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*f**4 - 263*f**3*g**3 - 22*f**2*g**2 + 763*f*g**3 wrt f?\nAnswer: 192*f - 1578*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*u = -74*u + 2466. Find the second derivative of -1233 + u - 20*f - 2*f**2 - 3*f**2 wrt f.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**4\/6 - w. Let a(u) be the second derivative of -u**3\/6 - 24*u. What is x(a(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -4542733.509 to the nearest one hundred.\nAnswer: -4542700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 341 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*n + 2*w, 0 = -0*n + 2*n - 5*w - 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 22 + 16 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-3)*v)**31\/(v**(4\/3)*v\/(v\/(v\/(v\/v**(-2\/23)*v)))))**26 assuming v is positive.\nAnswer: v**(-442\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*i**3*v**2 + 2*i**3 - 2*i**2 - 32*i*v wrt v.\nAnswer: -50*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -9*c. Suppose 0 = -m - r - 1, 4*r + 3 = r. Let y(t) be the second derivative of 1\/3*t**3 + 0*t**2 + m - 11*t. Calculate a(y(w)).\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -79, -145, -233, -349, -499, -689?\n\"Answer: -h**3 - 5*h**2 - 44*h - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 506 and 32872752.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.8 - 6.47. Let h = 12.78357274 - 12.453573. Let c = j - h. Round c to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 234?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 0.3, 11, 5\/3, -322?\nAnswer: -322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91480, 182951, 274422, 365893?\nAnswer: 457364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.9 and 848181.658.\nAnswer: 848182.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2. Let h(i) = -2*i**2 - 12*i - 36. Suppose 3*f + 17 = 5*t, 6 = -5*t - 3*f - 1. Let a be (0\/4)\/(1\/1) - t. Let r(w) = a*h(w) - k(w). Factor r(p).\nAnswer: (p + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21120 - 22112000101202?\nAnswer: -22112000200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*d**2 + 0*d**2 + 2*d**2 + (4 - 2 + 2)*(12*d - 2*d**2 - 12*d) + d**2 + 5*d**2 - 3*d**2.\nAnswer: -44*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/620429 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 204865.5ug in tonnes?\nAnswer: 0.0000002048655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -28*j + 1193. What is g(42)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -24120 divided by 8040\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**2 - 2*a - 3*a + 5*a.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -452 + 797. Let f = 481 - d. Calculate the greatest common factor of 238 and f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28290 - 27994. What is the remainder when a is divided by 86?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.51 - -0.49. Let m be ((-2)\/(-20))\/(4\/(-16)). What is the closest to k in m, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v + v**2 - v - 1 + 0 + 5*v. Let n(j) = -11 - 5*j - 2*j - 3*j + 15*j. Let m(l) = n(l) - 5*x(l). Differentiate m(f) wrt f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165387573 divided by 3627.\nAnswer: 45599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + f. Let j(x) = x**2. Let g(r) = 4*j(r) + u(r). Find the second derivative of g(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8345496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (-2 + -5) - (10 + (-2 - -4)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.274491 (b) 1 (c) -0.3 (d) -5 (e) -0.13 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.4 - -10.364. Round o to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 94, 188, 282?\n\"Answer: 94*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2278?\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 102959 minus 0.3?\nAnswer: 102958.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 287911817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 37 + 9 = -18*o. Solve 0 = 9*i - o + 56 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) + (-11310)\/(-150). Suppose 0 = 21*r - 6*r - w. Solve r*n = -0*n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 4*h**2 - 4*h - 1. Let i be y(-3). Suppose 0 = i*n + 2 - 16. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*x**2 + 2 - 2*x**3 - 52*x + 339*x**2.\nAnswer: -2*x**3 - 52*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*a**3*d*r + 3*a**2*d*r**3 + 2*a**2*d + 6*a*d*r**3 - a + 3*d*r + 2*r**3 wrt a.\nAnswer: 78*a*d*r + 6*d*r**3 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/7983 and -37\/71847.\nAnswer: 71847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(136)*-2 - sqrt(136)))\/(sqrt(32)\/(sqrt(16)\/sqrt(4)))*2.\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x. Let b(g) = -g - 7. Suppose -4*y + 15 = -3*w - 9, -4*w + 3*y = 32. Let u be b(w). Let k(v) = 2. Determine u*k(m) + i(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-747)\/(-153) + 4\/34. What is the closest to -3 in -0.1, w, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - -2. Suppose 7*o = u*o - 16. Which is the second smallest value? (a) 0.3 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1629e2 (base 15) in base 6?\nAnswer: 34551252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -386\/7 - -55. Put w, 5, -4 in decreasing order.\nAnswer: 5, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-35))\/(368\/(-920)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, w: 3, l: 1, h: 2, p: 3}. Give prob of sequence hl.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 13 + -1 + -5 - -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 3*w - 5)*(0 - 2 + 5 + (3 - 2 - 3)*(-1 - 2 + 0)) in the form x + r*w and give r.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 7*u**2 + 11*u - 19. What is v(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 39552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2 - 28847*u + 57349452 = 0.\nAnswer: 2148, 26699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -20*b - 14. Let i(o) = -14*o + 2 + o - 5 - 6. Determine 8*i(s) - 5*k(s).\nAnswer: -4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2291 by -76.\nAnswer: 2291\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*k - 3*k - 8*k)*(5 - 1 - 3) as u*k + o and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 67535?\nAnswer: 67536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 49*d - 83740. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1720 = -202*z + 374*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence away when four letters picked without replacement from {e: 1, a: 2, w: 1, y: 1, q: 1, i: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 44845 = -44695 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7496098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1130, 1300, 1522, 1802, 2146, 2560, 3050?\n\"Answer: j**3 + 20*j**2 + 103*j + 1006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (5*1)\/(485\/582)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122 (base 4) in base 9?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j - 258*j - 185*j.\nAnswer: -455*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - (-11 + 15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 904 = 994. Solve 4*j - z = f, 0 = 2*f + 3*j - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 90 = -n. Suppose -79*g = -46*g - 741 - 6354. What is the remainder when g is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2*a - 1)*(-3 + 0 + 6) + (7*a + 0*a - 3*a)*(0 - 1 + 0).\nAnswer: -10*a - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 8 = l, -2*i + 5*i = -5*l + 34 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*y + 17*y + 16*y + 6*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3443557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p + 32. Let z be u(-7). Solve 5 = -z*t - 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.36 and -8787.\nAnswer: -3163.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -105541167, -211082329, -316623491, -422164653, -527705815?\n\"Answer: -105541162*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11*-21000.\nAnswer: 2310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46 or -239616?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -690840 by -90.\nAnswer: 7676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/2)\/(24\/(-16)). Let m be (j\/6)\/(52\/(-24)). Which is the closest to -9? (a) -3 (b) m (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 10:51 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -10, -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - p - 2477, 5*p - 10*p - 25 = 0. What are the prime factors of u?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2. Let s be (-4)\/(-3 + 5) - -2. Let q(x) = s*x - 2*x - x + 0*x. Determine q(p(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -952\/3 - 36*l + 4\/3*l**2.\nAnswer: 4*(l - 34)*(l + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 424 = -k + 109, -3*b = k - 541. Is 23 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2674448945?\nAnswer: 5, 7, 71, 1076237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7453 - -20564. What are the prime factors of a?\nAnswer: 7, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 13*s - 8. Let c(u) = 17*u - 5 - 14*u + 3. Let j(k) = 18*c(k) - 4*z(k). What is the first derivative of j(x) wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -3. Let b = 16 + z. Which is smaller: b or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94377592 divided by -4\nAnswer: 23594398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110\/203 + -24\/29. Let f = 0.86 + 0.02. Let r = -0.12 - f. What is the third smallest value in r, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*r**2\/7 + 4*r\/7 + 16.\nAnswer: -4*(r - 4)*(2*r + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2*x - 34 = -0*m, -7*x - 52 = 5*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2469, -2464, -2455, -2442?\n\"Answer: 2*t**2 - t - 2470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-12) - 1)*516\/(-2408)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -134*u - 486. Calculate r(-4).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1400332 (base 9) in base 11?\nAnswer: -484a3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2718862842.\nAnswer: 2, 3, 61, 7428587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49471 is divided by 35.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5 = 55. Let y be -2*((-10)\/4 + 16\/32). Solve -8 - q = -y*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + -7 + (-4)\/(1*-4). Let c = 38 + z. What is the remainder when c is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - l + (l + 3*l - 3*l)*(0 + 2 - 4) - l - l + l + 2*l - 3*l - l + (2 - 1 - 3)*(5*l + 4*l - 4*l))*(-3*l**4 + 3*l**2 - 3*l**2).\nAnswer: 48*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/135*-15*(-45)\/5\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -42. Suppose h*p + 10 = 13*p. Let q be 3*(3\/p)\/((-81)\/(-72)). Solve -6 = -4*o - r, 4 = q*r - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, b: 1, e: 1, o: 2, q: 6, f: 1}. Give prob of sequence qfq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**4 + 27*j**3 - 270*j**2 + 491*j. Let g(v) = -3*v**3 + v. Let i(x) = -5*g(x) + k(x). Factor i(o).\nAnswer: -2*o*(o - 9)**2*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + -32. Let u be 80\/3 + 4\/(-6). What is the greatest common factor of u and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2*o + 4 + 8, 0 = 3*c + 5*o - 10. Solve 5*f + 5 = -4*w, -c*w - 30 = 5*f - 6*w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d**3 - d**2 - d. Let p be y(-1). Let i = 4 + -2. Let a(k) = 3 + k + 8 - i*k. Determine a(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317753 is divided by 3738.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 420.462738 to 2 decimal places.\nAnswer: 420.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 21, 812895?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 37*u - 215. Let t be i(34). Suppose -3*b - 1004 = -4*v, -b = 4*v - t + 55. Calculate the least common multiple of v and 22.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -466c (base 15) to base 5.\nAnswer: -434302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2178*w**2. Let j(o) = -9*o**2. Give j(v(c)).\nAnswer: -42693156*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 364 (base 14) to base 3.\nAnswer: 221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmhummhmumhmmggg. Give prob of picking 2 u and 2 m.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 379.8482 decades in months?\nAnswer: 45581.784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 + 27*t.\nAnswer: 27*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnlu when four letters picked without replacement from {d: 4, n: 1, l: 3, y: 2, u: 9}?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 7*k + 27 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*t*t**3)*t)**32)**(-12\/7) assuming t is positive.\nAnswer: t**(1536\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 8458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2*sqrt(96))\/(sqrt(12) + sqrt(300)*-2))**2.\nAnswer: 64\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -606.012.\nAnswer: -584.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 274 + -60. Let r(q) = -217*q - q**2 + 4 - 2*q**2 + 2*q**2 + o*q. What is r(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-11) + 2*1. Suppose 0 = 5*v - v + s - 3, 3*v = -3*s. Put i, v, -2 in increasing order.\nAnswer: -2, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3 + (-26)\/(-6). Suppose c - r*p = -0*p - 10, 0 = -4*c - 3*p + 17. Suppose 8 = l - c*t - 3*t, 0 = 2*t - 2. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7091489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 - -50. Suppose x*c - 10*c = -14. Sort -1, c, -5, 1 in decreasing order.\nAnswer: c, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n**3 - 2*n**2 - n + 1. Let v be 11\/77 + 6\/7. Let r be l(v). Suppose -r*d + 3*d = -340. What is d rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 6:07 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9634*p - 9890*p = -2816 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 + -52. Suppose -28*u = -r*u - 48. Let x be (-8)\/u - (-2)\/(-12). Solve -q + 2 = 2*q + 5*g, 5*q + 3*g - 14 = x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eofcefacgcgg. What is prob of sequence acce?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from axddm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 166 (b) 14 (c) 1373\/2 (d) 0.1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1748 + -1656. Does 23 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008886 is divided by 707?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*t**2\/7 - 66602*t\/7 + 13320\/7.\nAnswer: 2*(t - 6660)*(5*t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z - 125*z**2 - 4*z + 573*z**2 to b + j*z + p*z**2 and give p.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y - 16*y = 36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gqgggpppppgpp?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 71471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008637 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -7. Let w be (-7)\/(-5) - (-2 + 3). Factor 4\/5*c**4 + 0 + 0*c + h*c**2 - 2\/5*c**3 - w*c**5.\nAnswer: -2*c**3*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-63)\/(-14) - 6 - (-142)\/4. Let c be f\/(-24) + 80\/48. What is z in c*z**2 - z + 0 = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 533*i**2 - 4*i. Let x be z(4). Let j = 102001\/12 - x. Calculate the common denominator of j and -19\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300 and 700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 10*g**2 + 32211*g - 32209. Determine i(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 17*o**6\/420 + 101*o**5\/105 + 7*o**4 - 24*o**3\/7 + 563*o**2. Factor s(h).\nAnswer: 2*(h + 6)**2*(17*h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(225\/(-362)) - 4\/30. Let s = 115 + -39. Suppose -s = -4*t + r. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 1. Let g(f) = -7*f - 5. Let o(t) = g(t) + 5*r(t). Let p(u) = -2*u**2 + 6. Let w(q) = q**2 - 5. Let d(m) = 5*p(m) + 6*w(m). Give o(d(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 20 = 0, b + j = -3*j + 70. Let k = b - 40. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - -25) + 43 - -13.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77538 divided by -2.\nAnswer: 38769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p - 5. Let h be m(4). Suppose 2*l + 0*l = 0. Suppose g - 5*x - h = -l*x, 2*x - 6 = -2*g. Solve 0 = -2*k - 5*o + 5, -4*k + g*k + 5*o - 5 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3920842 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14284, 28609, 42934, 57259?\n\"Answer: 14325*n - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*u + 67 = 0, -28*u = 2*l - 30*u - 150. Suppose -3*z - 3*b + l = -16, 4*z - 129 = b. What is the greatest common factor of z and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 818352*z**2 + 55793599740*z + 2009630314800.\nAnswer: 3*(z - 136410)**2*(z + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 67 + 0*t + 0*t + t**2 - t + 23. Let y be (0 + 1 - 1)\/(-2). Let u be h(y). Round u to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1307, 207, 13 in descending order.\nAnswer: 1307, 207, 13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 122204134?\nAnswer: 122204145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6552 and 56?\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 933*d**3 + 1094*d**3 - 8 - 2024*d**3 - 31 + 39.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-28) - (-36)\/(-63). Which is the closest to 0.3? (a) -0.2 (b) -2\/9 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*-2)\/(sqrt(18)\/sqrt(36)))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -46, -4\/3, 1, -1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24020\/3603)\/(-1*6\/2 + (-259)\/(-84))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*m + 27*m + 2700. What is the highest common divisor of m and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13, -45, -111, -223, -393, -633?\n\"Answer: -2*s**3 - 5*s**2 - 3*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -248*t**2 + 13877*t - 115. Determine o(56).\nAnswer: -731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 80.41276288+-0.038\nAnswer: 80.37476288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = v + 1, 3*v + 5*w = 8*v + 5. Let z(k) = 282*k**3 + 2*k**2 + 3*k + 2. Let g be z(v). What is g rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**2*z - 1333*v**2 + 1154*v*z - 6*v - 2*z with respect to z.\nAnswer: -2*v**2 + 1154*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196 divided by 98.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 - 4)*(24*s + 80*s**3 - 24*s).\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/225 and -43\/166775.\nAnswer: 1500975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, n: 4, i: 7, l: 4, h: 3}. What is prob of picking 1 l and 1 i?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -54\/55 (b) 4 (c) 5 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 16*x**2 + 5*x - 1. Let n = -14 + 11. Let u be n\/(-18) + (-2 - (-1)\/(-6)). Let v(c) = 3*c**2 + c. What is u*i(y) + 11*v(y)?\nAnswer: y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 + 229*g**2 + 76*g - 21660. Give j(114).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**2 - n - 1. Suppose 12*o - 43 = 53. Let p be 45\/(-63) - o\/28. Give d(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*u**3 - 63*u - 337*u - 50*u - 6*u**3 - 30*u**3.\nAnswer: 2*u**3 - 450*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, x: 6, j: 4}. What is prob of sequence wxx?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*w - 26, -6*w + 2*w + 16 = 0. Let j = t - 3. What is the tens digit of -2*(66\/(-4))\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.24538353976 + -0.6?\nAnswer: -5.84538353976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*(-6)\/(-12) - 1419. Let t = c + 2925. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 32*k - 8. Let j be u(-30). What is the second derivative of z**5 + 4*z**5 - 24*z**3 + 43*z - 47*z + j - 13 wrt z?\nAnswer: 100*z**3 - 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 2\/5 (c) 5 (d) 0 (e) -4 (f) -4\/3631 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 253 - 253.00000344. What is h rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 856946 is divided by 433?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2458*h - 6584 - 18930 = 8898 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 27, 0.1, 3, 0 in decreasing order.\nAnswer: 27, 4, 3, 0.1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 1:49 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/10 and (-8)\/28 + (-2175)\/252?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (208\/(-6))\/((-34)\/255). Suppose z + 60 = l. Let y be (-2)\/3 + z\/30. Let u(s) = -7*s**2 - 7*s + 6. Let d(h) = -6*h**2 - 6*h + 5. Give y*d(j) - 5*u(j).\nAnswer: -j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34 + 39 - s - 74 + 3*s - 3 + 3 + (s - 2*s + 2*s)*(3 + 1 - 3).\nAnswer: 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x. Let f(u) = 261 - 741 + 278 + 0*u + 3*u + 266. Give f(s(c)).\nAnswer: -6*c + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, t: 9}. What is prob of sequence ff?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - -2 - 10) + 18 - 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -100112120001?\nAnswer: -100112120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4427 a factor of 285327810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -37581*o**2 + 5*o + 375. Let r(a) = -4698*a**2 + a + 47. Let y(p) = -33*r(p) + 4*u(p). Find the second derivative of y(m) wrt m.\nAnswer: 9420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -0.2. Let k = -55356 - -55359. Which is the closest to n? (a) k (b) 5 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -433 (base 13) to base 9\nAnswer: -877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**2 + 1. Suppose 3*b = -3*a + 12, -2*a - 1 = -4*b - 15. Determine k(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2119, -1932, -1745?\n\"Answer: 187*t - 2306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-1 + 0 - (-7 + 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*x + 17, 2*x + 3*j = 7*j + 28. Suppose 9 = x*y - y. What is the second derivative of -y*w**3 - 2*w + 6*w**3 + 0*w wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -14032758\nAnswer: -1\/14032758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(500)*-3*-6 + -2 + (sqrt(500) + 1 + sqrt(500))*-6*-6)**2.\nAnswer: 61200*sqrt(5) + 4051156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**4 + f**3 - f - 1. Let a(l) = -7*l**4 - 2*l**3 + 2*l - 2. Let o(m) = -a(m) - 2*i(m). Differentiate o(p) wrt p.\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2557 is divided by 1190.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*a + 30*a = 0. Let v = 96 - 1055\/11. Is a at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from htxiy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*q = 43279 + 182121, 450800 = 4*h - 5*q. What is h rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 9\/5, -1, 4\/5, -0.29?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -57?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52563*k**2 - 847*k + 9 wrt k?\nAnswer: 105126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -503, 0.2, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.004116033 or 1\/3?\nAnswer: -0.004116033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*o = 224*o + 792 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (845184\/1136)\/(-1*(-40)\/5)\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 10:07 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 441700 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -2) + (-2 - 1) - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 5:50 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33, -149, -331, -513, -695?\n\"Answer: -182*f + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -78195*b - 22754735. Give n(-291).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16592550.\nAnswer: 2, 3, 5, 13, 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168018 and 28028271?\nAnswer: 2049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (13 - 2\/2)*7\/7. Solve 0 = -l - 2*l + d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/sqrt(7) + 3 - sqrt(7) - sqrt(7) - 6*sqrt(42)\/sqrt(6).\nAnswer: -7*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10, c: 2, b: 3}. Give prob of sequence ibcb.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 15*q**2 + 2*q - 4. Calculate b(-15).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -802 and 6574341.\nAnswer: 6573539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -489, -481, -459, -417, -349?\n\"Answer: d**3 + d**2 - 2*d - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 326*a*y + 646*a wrt y.\nAnswer: 326*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 2\/15 (b) -0.1 (c) -0.048\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoatl. What is prob of picking 1 l, 1 a, and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 9*b - 2. Is (4\/(-6))\/(b\/(-96)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yaya when four letters picked without replacement from {a: 2, y: 18}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*r + 4*b, 2*b = -20 + 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, t: 7}. What is prob of picking 2 t?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 18. Let g be n(-7). Let h be 2\/(-3)*(-2 - g). Is (192\/h - -2) + 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -51, -93, -135, -177, -219?\n\"Answer: -42*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 + 4*m + 3. Let l be z(-2). What is the second derivative of -2*t + 14*t**l - 11*t**3 + t wrt t?\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 3*d**5\/10 - d**4\/6 + d**2 + 39*d. Let z be y(1). Solve -7*k + k - z = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12642294, 12642275, 12642244, 12642201, 12642146, 12642079, 12642000?\n\"Answer: -6*w**2 - w + 12642301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhhfggggggggggh. Give prob of sequence fh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3513409.\nAnswer: 37, 269, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -134613 + -12130?\nAnswer: -146743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30474\/7 + -4354. Which is the third smallest value? (a) -1 (b) -1\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8317, -8315, -8313, -8311, -8309?\n\"Answer: 2*n - 8319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x + x + 22*x)*(-124 - 29 - 116).\nAnswer: -8070*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -15*c + 102. Let f = 171 - c. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*((-22)\/(-20) - 1)*40\/(-50)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -4 (c) 4 (d) 4.4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/5))**(-2\/13)\/(h**(-3))**(7\/5) assuming h is positive.\nAnswer: h**(55\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2 + (3 - 2 + 1)*(-1 + 0 + 3) + 2 + 2 - 5 + 1 + 0 + 0 + 5 - 1 - 2 + (3 - 5 + 3)*(0 - 2 + 0))*(-362 - 446 + 634)*(0*f - 6*f + 3*f).\nAnswer: 3132*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-12)\/90 + 17\/40.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5db27 (base 15) in base 10?\nAnswer: -299512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 + 78. Suppose -9 - 16 = -i*v, v = -2*m + 1031. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + t**2 - t - 1. Let p(h) be the third derivative of h**6\/120 + h**5\/30 - h**4\/12 - 2735*h**2. Determine 3*p(r) - 6*x(r).\nAnswer: -3*r**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 417 + 1990. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 1\/287445194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + d + d**2)*(0*d + 0*d - 2*d**2) + (-2*d**4 - d**4 + 2*d**4 + 7*d**2)*(-4 + 2 + 1) as a + z*d**4 + q*d**2 + i*d**3 + h*d and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 - 25*h**2 + 36*h + 12. Let v(j) = -j**3 + 12*j**2 - 17*j - 6. Let u(z) = 4*l(z) + 9*v(z). Calculate u(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 2*q + 1. Let r be p(-4). Let v be (-3)\/(-4)*(-120)\/r. Determine d so that 2\/11*d - 12\/11*d**2 + v*d**3 + 0 - 8\/11*d**4 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 6:10 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 + 156*v - 7 - 78*v - 80*v + 5*v**3 in the form r + j*v + u*v**2 + h*v**3 + y*v**4 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*l - 2*l. Let q = -8 + 2. Let v = q - -15. What is the lowest common multiple of l and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40891471 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 10, 4, -29, 0 in increasing order.\nAnswer: -29, -20, 0, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -361816*4.\nAnswer: -1447264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8674154 to the nearest integer?\nAnswer: 2945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*d = 424, 70*d - 311 = -3*l + 66*d. What is the remainder when 1255 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**(-2)))**32)**(27\/7))**(-4) assuming x is positive.\nAnswer: x**(-6912\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -3, 3, -0.312, 5 in increasing order.\nAnswer: -3, -0.312, 1\/4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -471 - -452. Let i(q) = 53*q**2 - 48*q - 31. Is i(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2 + 3*d + 3. Suppose 20*t = -5*t - 50. Calculate o(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2609 + -2607. Suppose 9*q = 4*q + 20. Suppose -757 = -7*m + 4*m + y*i, -5*i = q*m - 994. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 times 15?\nAnswer: -2295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8895 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -264878*o**2 - 211402*o.\nAnswer: -529756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*f = 195*f + 1047. Let y = f - -351. Let k(x) = -x**3 - x**2 - x. Let l(g) = -g**3 - 2*g**2 - 4*g + 1. Give y*k(o) - l(o).\nAnswer: -o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9601931 to the power of 1\/2, to the nearest integer?\nAnswer: 3099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 8 = 2*u + 3*c, 0 = 3*c - 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467987 is divided by 1221?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 452202 (base 7) to base 4\nAnswer: 103202103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.08 - 0.12. Let x = 0.6 + k. Which is the closest to -1? (a) 2 (b) -4\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96*g*o**4 + g*o**3 - g*o + 12*g - 694*o**4 - 5*o**3 + 295055*o**2 - 1 wrt o?\nAnswer: 2304*g*o + 6*g - 16656*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5604?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22124381 is divided by 1945.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/104933070 and 23\/198.\nAnswer: 104933070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 829?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 52\/130 + (-4 - (-40)\/25). Put m, -3, 0, 1 in increasing order.\nAnswer: -3, m, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 54*h**2 + 3*h + 3. Let a be p(4). Let t be ((-16)\/(-12))\/(1\/3). Suppose 0 = 2*q + 2*q + j - 3448, a = q - t*j. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 10*l**2 + 40*l + 7. Calculate j(-9).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/(-360)*(-6)\/8)\/(70\/12).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-90)\/(-21) - (-20)\/(-70). Suppose 0 = -16*b - j*b + 60. Solve 2*m = 4*m + 5*n + 3, -b*m + 3*n = 15 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**3 + 4*x**2 - 5*x + 45. Let g(s) = -s**3 - 2*s**2 + s + 2. Calculate 4*g(a) + k(a).\nAnswer: a**3 - 4*a**2 - a + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3142 take away 168657145931?\nAnswer: -168657142789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q*q**(1\/2)*q*q)))**28\/(q*q*q**(-1))**(-20))\/((q\/q**(-4)*q*q\/q**(-1\/2)*q)\/(q**(-1))**(-6\/17)) assuming q is positive.\nAnswer: q**(4687\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-33 + (15 - -19) - (0 + 5))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3\/2 (b) -7 (c) 13.46583\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 613659\/220 + -3527\/44. Let b = i + -2721. Find the common denominator of -28*(-28)\/(-560) + 7\/(-10) and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3392698 times -0.05\nAnswer: -169634.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1634040 and 2808?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*-1*1*41*2052\/(-3116)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2902.\nAnswer: 2, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2 - 6*v - 12*v - 47 + 75 = 0. What is v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.01410074 and -74020.\nAnswer: -74020.01410074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4 = 3*n. Let v be (-1)\/(n\/(-8)) - 3. Let i be (0\/(-3) - -3)*v*1. Which is greater: 21\/8 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.45.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7519\/10 + 750. Let i = 9035 - 162499\/18. Calculate the common denominator of n and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 120172, 240347, 360522, 480697?\n\"Answer: 120175*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31414850?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -147 - -142?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10937224?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -355350 (base 7) to base 16\nAnswer: -fb43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(2 + (-14)\/6). Let w be 1 + -6 + -5 + 8\/24*27. Which is the nearest to 0.3? (a) j (b) 2\/51 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + d = 11, -2*y + 5*d + 2 = -28. Suppose -22*f + 26*f = 4*s + 8, -y = 5*s. Solve 2*i + 5 = -f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 232 = 10*n + t, 2*t = 4. Is -114 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + sqrt(5) + 3)*2.\nAnswer: -12 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3356*q = 4137 + 4917 - 2342 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -394945535*c**3 + 228992411 wrt c?\nAnswer: -1184836605*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (352\/(-1232))\/((-2)\/5).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 2:49 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 9\/11, -5?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -2128139\/276 and -7711 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742138 is divided by 185532.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-5)*i)\/i)\/(((i**(-4)\/i*i)\/i)\/i*i)*(i*i\/(i*i**(1\/4)\/i*i))**(-3\/2))**(32\/9) assuming i is positive.\nAnswer: i**(316\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.1, -69, -5, -6 in increasing order.\nAnswer: -69, -6, -5, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, o: 8, z: 2, n: 1}. What is prob of sequence zznt?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 3*i**2 - i. Suppose -3*t = -2*t + 3, -4*x = -2*t + 6. Give j(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -809 = -9*l + 1585. Suppose 601 = 3*w - l. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/225)\/((-2)\/25)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14757, 19276, 23795, 28314?\nAnswer: 32833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2171, 16 in descending order.\nAnswer: 16, 3, -2171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8015713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 33 = -3*p. Suppose -51 - p = -4*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**4\/4 - d**3\/6 + 2*d**2. Let p be j(-1). Let q = p - 2. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14071*i = 13753*i + 21624 for i.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rpprprrrprpr. Give prob of picking 4 r.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16806991, 16806997, 16807007, 16807021, 16807039, 16807061?\nAnswer: 16807087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 9:55 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 10835127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 4*p - 67. Let n = p + 21. Which is smaller: n or 80?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 8*w - 7. Let a be q(-9). Solve -a*z = 3 + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 8*c**2 - 9*c - 1. Let u be r(-9). Let s be u*3 - 100\/(-30). Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(10\/(-4))*5. Find the second derivative of 18*v**2 - 18*v**l - 13*v + 2*v - 25*v**4 wrt v.\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t + 8. Let g = 3 + -8. Let a(k) = 4*k + 9. Let u(h) = g*a(h) + 6*y(h). What is the first derivative of u(j) wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -5. Suppose m = -x + 1, 7 = 5*m + i*x - x. Differentiate 3*n**2 - m + 2*n**2 - 6*n**2 wrt n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22413497.\nAnswer: 17, 1318441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((-12)\/(180\/25))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-2)))**(1\/31)*d**(-3\/5)\/(d*d*d**(3\/2)))\/(d**(-2\/15)*d*d\/(d*d\/((d\/d**3)\/d*d))*(d\/(d\/(d**(-1)\/d)))**21) assuming d is positive.\nAnswer: d**(37291\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*7 - (3 + -1). Let x(g) = 2*g**3 + 50*g**2 - 314*g - 400. Let i be x(-30). Solve -4*s = r*l - i, -4*s - l - 1 = -5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c + 1. Let g(a) = a**3 - 2*a**2 + a - 1. Let v be g(2). What is the remainder when j(v) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574091056 a multiple of 380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -350952, -701901, -1052850, -1403799, -1754748, -2105697?\n\"Answer: -350949*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2325 + 1149 = 0. Is c\/(-6) - 3\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**2 - 2*m**2 + 3*m**2)*(-1010 - 321 - 125) - 2*m**2 + m**2 + 2*m**2 as a*m + q + t*m**2 and give t.\nAnswer: -1455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 689091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18712586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -aa7ca65 - 2?\nAnswer: -aa7ca67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + t. Let y(a) = -10*a**2 - 8*a + 2. Calculate 5*u(c) + y(c).\nAnswer: -20*c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70 + 41. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**4)**(-15)\/(t**10*t)**44 assuming t is positive.\nAnswer: t**(-439)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**3\/4 - 1557405*y**2\/2 + 606362787888*y + 23042910399872 = 0.\nAnswer: -38, 1557424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -48*h**4\/7 - 242*h**3\/7 - 346*h**2\/7 - 158*h\/7 - 6\/7 = 0?\nAnswer: -3, -1, -1\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 210 = -v. Let i be (-3 - (-5 + -65))*1. Let g = i - v. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1849*c + 34534. Give o(20).\nAnswer: -2446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 66?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 202733 < 202740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 - 15 + 37 - 3*g**2 - 18 - 5 to the form x*g**2 + z*g + y and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2092057795 to the nearest integer?\nAnswer: 45739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.009 + -35.009. Let g = z - -73. Let w = -38.5 + g. Sort 3, w, 2 in decreasing order.\nAnswer: 3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/2 (b) -0.09 (c) 5 (d) 156\/5 (e) -0.67\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 303749\/42 + -7236. Let p = 52495\/6 - 8728. What is the common denominator of p and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > -86\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3576 by 3.\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 - (-3)\/(-6))*-2)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 19062 times -3\nAnswer: -57186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -147133 at most -4348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Suppose 4 = -q + 3*o, 2*q + q + 4*o = 14. Let r(f) = -f**3 - 8*f + 1. What is q*r(d) - 14*w(d)?\nAnswer: -2*d**3 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 7:16 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**3 + 34*s**2 - 38*s + 99. Let l be b(16). Solve l*m - 11 = -q, 2*q - 7 + 1 = -2*m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**8\/560 - s**6\/90 + s**3\/2 + 2*s. Let i(f) be the second derivative of w(f). Find the third derivative of i(b) wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q + 4 = -28*q - 33*q - 3*u, -97 + 114 = 5*q + 2*u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -69, 5, -4, 0, 6, 37 in increasing order.\nAnswer: -69, -4, 0, 1, 5, 6, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10235460?\nAnswer: 2, 3, 5, 23, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/9, -4, -27320?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5725778621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 13187, 0.8, -3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22544 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 670809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -101*l + 92 + 85. Let v(u) be the first derivative of u**l + 0*u - 23 + 13\/3*u**3. What is the second derivative of v(a) wrt a?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3 + 4*a**2 + 1781173*a + 700402024 with respect to a.\nAnswer: 3*a**2 + 8*a + 1781173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 6 = 4*d. Let y = d + -7. Put -0.4, y, -5 in increasing order.\nAnswer: -5, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 10:43 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 20 - 5 = 3*k, -7 = -2*k - o. Suppose k*b = 5 - 1. Solve -2*f - b*t = -5*t - 10, -t - 4 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83687.\nAnswer: 53, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24055.\nAnswer: 5, 17, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7298190, -14596336, -21894482, -29192628, -36490774, -43788920?\nAnswer: -51087066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9655359, -19310728, -28966099, -38621472, -48276847?\n\"Answer: -y**2 - 9655366*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4527092765 to the nearest integer?\nAnswer: 1654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -29. Let q = -51 - -35. Let a = f - q. Solve 5 = 2*o - 3*o, -j - 8 = a*o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-4 + -2 + 0 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 + 5)*(3 - 3 - h)*(4*h**4 - h**4 - h**4).\nAnswer: -20*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = -4 + 44. Solve 3*m - 15 = 0, m = -s*c - 3*m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v**2 + 4*v + 1. Let d be z(-2). Which is the closest to d? (a) -2 (b) 3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 24*o - 24*o + 576 = 0 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 7*d**2 + 22*d - 76. What is m(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4301*x + 2166*x + 2150*x.\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43.5 + 36. Let s = -5.5 - v. Which is smaller: s or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 6*u**2 - 6*u - 3. Let d be r(-5). Let n = -2 - 0. Which is the nearest to d? (a) -0.5 (b) n (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190855 and 3325?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -722\/4505 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 + 2) - ((-29 - -2) + -10).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.2950039 micrometers?\nAnswer: 0.0000002950039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1032086*b**2 - 9 + 5 + 0 + 1032086*b**2 - 2*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 270*f**3 - 117*f**3 - 52*f**3 as a*f**2 + y*f**3 + b*f + i and give y.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 1\/43642, -0.5 in increasing order.\nAnswer: -0.5, 1\/43642, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 102356323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**4\/24 - 7*t**3\/3 - 7*t**2. Let k be u(-16). Suppose -3*h + 82 = 3*x - 38, -4*x = -k*h + 80. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-13 + 2 - -2). Suppose -38 = -4*j - i. Find the first derivative of -4*b**3 + j*b**3 + 3 + 0 wrt b.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25cdd5 - 5?\nAnswer: 25cdd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggoa when four letters picked without replacement from oaooyoagooaogaoo?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 750, -208535, -3 in descending order.\nAnswer: 750, -3, -208535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 6:41 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5040 and 31815.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -91, -115, -155, -217, -307, -431, -595?\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7029 or -7030?\nAnswer: -7029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 38 + 10 = 4*n, -4*n = 2*f - 34. Suppose i + 4 - f = 0. Solve -3*a + a - 4 = i*w, -4*w + 5*a + 10 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + 1.94. Let q = 15 + -44\/3. Let c = 6 - 8. What is the nearest to q in c, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 15. Let y = 0.07 + -0.19. Is y >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 163469715?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/7 (b) 4\/3 (c) 0.2 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 91.971904.\nAnswer: -18.3943808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 48224, 96291, 144292, 192227?\n\"Answer: -33*s**2 + 48166*s + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 0.115 in decreasing order.\nAnswer: 0.115, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.71214 * 27.1\nAnswer: 46.398994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 168 - -1890. Does 49 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 60?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -14124, 4 in increasing order.\nAnswer: -14124, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147 + -147. Suppose p = -2*y, 0*y = -q + 2*y + 1. What is the nearest to 1 in q, 14, 2\/15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w + 3*w + 0*w + 3*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.27739 * -1.\nAnswer: 1.27739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10, 0.1 in ascending order.\nAnswer: 0.1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -47\/10 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1310723 to the nearest ten thousand.\nAnswer: 1310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-9)*17\/((-816)\/360)*3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 18 = 24. Let f(j) = 2*j + 3. What is f(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0199156 rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -22, 36, 10, -3 in decreasing order.\nAnswer: 36, 20, 10, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4340962*a. Let u(c) = -206*c. Give r(u(b)).\nAnswer: -894238172*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14504 (base 6) to base 9.\nAnswer: 3184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.590979ng to grams.\nAnswer: 0.000000000590979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4)*1)\/(6\/(-16)*440\/1650)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 2202?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108.49 - 107. Let j = 1.39 - f. Which is the third biggest value? (a) j (b) 2\/9 (c) -1 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 5*d**3 - d**3 + 0.\nAnswer: -6*d**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f + 2. What is the units digit of w(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2971181?\nAnswer: 59, 50359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2035 and 275?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1803.\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137 = -9*w - 92 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 3*k - 1. Let g be j(5). Let r be 30\/g*(-27)\/(-15). Differentiate -r*f**4 + 3*f**4 + f - f + 1 wrt f.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(343) + 0 + sqrt(343))**2 - ((sqrt(343) + 2)*-4)**2)*-4 + (-3 + sqrt(343)*5)**2*-3*-6.\nAnswer: -2436*sqrt(7) + 171168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 675524217 to the power of 1\/2, to the nearest integer?\nAnswer: 25991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from roorrrrorro. Give prob of sequence oo.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 28.06. Let l = -1.2 + 1.09. Let k = l - f. Is 0.1 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7254 divided by 26?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*s + 11 = -v, 2*s + 2 = 0. Let o(r) = 5*r + 7. Let l be o(6). Suppose 4*u + 5*n = 61, -3*u + 0*u + l = v*n. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 3*f - 14 = 0, 3*i - f = -2*f - 13 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 235763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**4 - 1112*w**3\/3 - 38642*w**2 + 6080. Suppose y(u) = 0. What is u?\nAnswer: -139, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0406 or 15?\nAnswer: -0.0406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1783 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -i**2\/2 - 3*i - 4. Suppose 7*u = 9*u - 6. Determine l(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**4 - 25*w**3 - 4*w - 8. Let x(g) = -3*g**3 + g**2 - 2*g - 1. Let l(v) = 5*c(v) - 40*x(v). Find b, given that l(b) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/9*y**2 - 4\/9*y - 2\/3*y**4 + 0 + 8\/9*y**3 = 0. What is y?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -3\/5 (c) -0.319\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252 = 167*l - 195*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-55)\/10))\/(((-54)\/(-45))\/(9\/(-30))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -460*i = -904*i + 461*i + 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/12 - 9\/(-4). Let k be 17\/j*(-6)\/(-1). Is (-3)\/((-9)\/6) + k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3063*q - 3 + 2*q**2 + 3.\nAnswer: 2*q**2 - 3063*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (649\/44 + -2)*(42 - -2). Let a = v - 551. Let w be 34\/8 + (-1)\/4. Solve 2 = -w*g + a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2*p**2 + 6*f**2*p*x - 2*f**2*t*x + 6*f*p**2*x**2 + f*t*x**2 + 2*p**2*t*x + 2*t*x wrt p?\nAnswer: 4*f**2 + 12*f*x**2 + 4*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67554 is divided by 33746?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18991\/5 or 3799?\nAnswer: 18991\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -136 - -141. What is the smallest value in 4, -5, x, 1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/5)\/((-1)\/5). Suppose 3*n = -3*k + 21, 4*k - 3*n - 8 = -i*n. Suppose -k*q + 18 = -6. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 343*l**3 - 5646*l wrt l.\nAnswer: 2058*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r**3 + 17126*r**2 + 810256*r + 230104 = 0.\nAnswer: -1174, -49, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*h + 68, -3*h + 144 = -4*u + h. Let m = u - -155. Suppose -4*r - x = -125, 2*r - 4*x = -2*r + m. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from {j: 2, u: 3, t: 2, n: 13}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine fifths of a century?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 0 + 19*f + 0*f**2 + 5\/3*f**3. Let k(y) = -2*y**2. Determine k(x(j)).\nAnswer: -200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2, -0.021, 2, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 2 = -16*i + 13. Solve 2*r - 3*k = -0 + 3, i = r + 3*k + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 233411024 by -2652398.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 9*f + 13*f - 49 = 0, 2*f - 32 = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 6, m + 4*u = 42 + 23. Let x = -261 + 261. Suppose -33*t - 63 + 459 = x. What is the remainder when m is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + z**2 - 2*z**2 + 17 - 17. Let l(o) = -o - 28. Calculate l(i(t)).\nAnswer: -t**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 4*u**2 + 12*u - 12. Calculate n(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*sqrt(2299))**2.\nAnswer: -62073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 + 14*c + 8. Let l be k(19). Let n = 705 + l. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4677150737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3928 and 83312880.\nAnswer: 3928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**24)**(-28) assuming k is positive.\nAnswer: k**(-672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-150)\/(-7))\/(3\/126 + 0). Suppose -225 = -j + 2*t, -q = -4*j + 2*t - 4*t. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*n**3 - 181*n + 8*n**2 + 203*n**3 + 171*n.\nAnswer: -14*n**3 + 8*n**2 - 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10410*j = 1072345 - 41755 for j.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4437, -10118, -19595, -32874, -49961?\nAnswer: -70862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.472, 9, -3\/4?\nAnswer: -0.472","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 4*b**2 - 8*b - 12. Let l be q(-5). Let u be ((-1)\/3)\/((-2)\/4). Factor -2\/3*y + 0*y**4 + 4\/3*y**l + 0*y**2 + 0 - u*y**5.\nAnswer: -2*y*(y - 1)**2*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -228.5260836 + 279.526083384. Let f = m + -51. Round f to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76113375 and 46475.\nAnswer: 837247125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-22) - (-4165)\/187) + (33 - 23)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(3*sqrt(117)*1 + sqrt(117)))**2 + 2*(-6*(sqrt(117) - (sqrt(117) + 0)))**2)*-6.\nAnswer: -101088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-6)\/(-10)*(1820\/(-693))\/(-26).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 4*i + 10. Suppose 4*q + 3*u + 43160 = 0, 3*q + i*q = -4*u - 53951. Let w = 215799\/20 + q. What is the common denominator of w and -37\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110429819*b**3 + 688553570*b**2?\nAnswer: 662578914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 0*w = -3*w. Suppose -2*r + 5*b - 20 = w, 0 = 4*r + b - 0*b - 4. Suppose -n + 6*n - 150 = r. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q*t**5 + 2*q*t**4 - q*t + 2*q - 631*t**3 - 14*t + 5 wrt t?\nAnswer: 40*q*t**3 + 24*q*t**2 - 3786*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -377 + 5653\/15. Let u(m) = -m**2 + 2*m + 2. Let z be u(3). Is z > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 11:51 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*m**3 - 7*m**3 - 253*m**2 + 0 + 0 - 66*m**2 as i*m**2 + o + z*m + h*m**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13519 - -13736.11. Let p = 216.0107 - d. Let h = p + 1.1. What is h rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a - 113. Let l(b) = -b - 75. Calculate 8*l(v) - 5*s(v).\nAnswer: 2*v - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 + 49. Sort w, -4, -3 in descending order.\nAnswer: w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - n - 5*d + 106, -4*n + 3*d = -90. Calculate the greatest common divisor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19470 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**3 - 4*w**3 + 776*w**2 - 734*w**2 to the form c*w**3 + r + p*w + b*w**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/150 and 99\/20?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000185345 rounded to seven dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*n**3 + 102*n**3 - 18*n**3.\nAnswer: 113*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1280) - ((sqrt(1280) - -2*sqrt(1280)) + sqrt(1280)))\/(sqrt(90) - sqrt(90)*-1).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 i, and 1 k when four letters picked without replacement from {g: 1, k: 4, i: 5, r: 3, n: 5}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + (sqrt(300)*-2)\/((sqrt(32)*-1)\/sqrt(8))).\nAnswer: -30*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-9) + (-4)\/(-3). Let t be (f\/(-2) - -2) + 2. Solve 8 = -t*z + 7*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z - z**3 + 5*z**4 + 2*z**2 - 7*z**4 + 1 - z to the form n*z**3 + s*z**2 + b*z**4 + a*z + l and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.9, -3, -1\/29, 5, 2, 57?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3\/n**(-7))\/(n**1)**(-12\/11))\/(n*n**(-2\/15)*n**(1\/5))**(1\/11) assuming n is positive.\nAnswer: n**(1814\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -242?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 3*o - 6 + 15, -5*o = -3*v - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -47 (b) 19 (c) -0.2 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7361 - 111*c + 7361 - 161*c + 58*c.\nAnswer: -214*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 7.02. Let o = u + 0.08. Let m = -0.4 + 0.5. What is the closest to m in -5, o, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5288695.\nAnswer: 5, 1057739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 6:11 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/2*996\/(-1162)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 16 = -o. Let w = 2 - o. Which is the third biggest value? (a) 4 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.062 + 84295453\nAnswer: 84295453.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -4*q + 63 - 99, -4*p + 14*q + 2*q + 87 = -41 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + v - 2*v)*(2*v + 4*v - 4*v) + (-43 + 43 + 6*v**2)*(-3 - 4 + 6) as i*v**2 + z*v + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 5:28 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3940 and 65929990.\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**4 - b**4 + b**4 + (10*b + 7*b - 5*b)*(31 + b**3 - 31) + 66*b**3 + 12*b**4 - 66*b**3.\nAnswer: 20*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10452 (base 10) to base 7\nAnswer: 42321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**4\/4 - v**3\/3 - v**2\/2 - 2*v + 1. Suppose -2*r + 8 = 3*l, -4*l + 21 = -3*r - 1. What is p(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 1)*(-2*n + 0*n + 4*n) + (3*n - 2*n - 2*n)*(2 - 1 - 3).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5425)\/310 + 32\/2)*(-2 - -24)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32210010 - -231?\nAnswer: -32203113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 488585950 and 380.\nAnswer: 977171900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4209\/5 greater than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12*2\/(-56) - (8\/(-14) + -3). Solve -4*z - 5 = a - 5*z, 5*a - 11 = -y*z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 4. Suppose -a - 6 = -t. Let k = t + -2. Put -0.3, k, -1\/2 in decreasing order.\nAnswer: k, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 256*c + 0 + 155\/6*c**3 + 213\/2*c**2. Find the first derivative of z(a) wrt a.\nAnswer: 155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-1 + (-5)\/(-3)). Let o(f) = -f**3 + 19*f**2 + 20*f + 12. Let u be o(20). Solve -5*k = -u - j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*g**4*l**2*s - 81*g**4*l**2 - g**2*l**2 - 7*l**2 + 80*s wrt g.\nAnswer: -648*g*l**2*s - 1944*g*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6*j - 2 = j, 5*d + j = -17. Suppose 11 = -5*s - 9. What is the nearest to 7 in d, -4\/5, s?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -51*c + c**2 + 46*c + 60 + 20*c. Let u be l(-8). Solve -u = -0*d + 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 166 - 100. Suppose -4*v + x = -238. Let y be 1310\/327 - v\/19. Which is bigger: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108 - 73. Suppose 5*r = 3*j + 2*j - 35, 5*r = 4*j - 30. Suppose -j*c - 50 = -5*g, 2*g + 4*c - v = 3*c. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*w - 15. What is the highest common factor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -14 - 26 - (-10 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*i**3*y**3 + 3*i**3*y**2 - 101*i**2*y**2 - 13*i*y**5 wrt y?\nAnswer: -150*i**3 - 780*i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f**2 + 1. Suppose -12 + 9 = -w. Let l be -6 + w - (-2)\/1. Calculate j(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46803*g**3 - 3552*g**2 + 2.\nAnswer: 280818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*k - 22, k = -4*k + 4*s + 59. Solve 5*f + k = -0*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 25307477, 25307476, 25307475, 25307474, 25307473, 25307472?\n\"Answer: -d + 25307478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 3, -418, -8 in descending order.\nAnswer: 3, -3, -7, -8, -418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67183 = 2157*l + 77777 + 21129 for l.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11021, 10076, 8501, 6296, 3461?\n\"Answer: -315*y**2 + 11336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by 1?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1796, -10.\nAnswer: -10, -5, 1796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -1\/10*b**5 + 3\/10*b + 3\/5*b**3 + 0*b**4 - 4\/5*b**2 + 0 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04959 * 134.\nAnswer: -6.64506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.4 - 41.6. Let o = -61 + 11. Let q = o - r. Which is the fourth smallest value? (a) 5 (b) -2\/3 (c) q (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 266165466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -6. Let j(y) = 3*y + 5. Let g(q) = -q - 2. Let u(n) = k*g(n) + 2*j(n). Let d(a) = -a**2. Determine d(u(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 100\/8 - (-1)\/(-2). Let u = g - 6. Differentiate 3*c**4 + 3 + 6*c - u*c with respect to c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/75 and 29\/1431405.\nAnswer: 7157025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - (41 - -9 - 49) - 34?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 17 + 0 + (2 - 1)*-3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -984*x. Let k(v) be the first derivative of -2*v**3\/3 - 193. What is k(u(t))?\nAnswer: -1936512*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (9 + 4 - 3) + (87 - 84)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*y + 1 = 5*y, 0 = y + 2. Let k(l) = -30*l. Let p be k(g). Calculate the greatest common factor of p and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + 20*u - 11*u - 3*u - 2*u**3 to k*u**2 + n*u + a*u**3 + g and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 4:15 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1258, 1257, 1256?\nAnswer: 1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cug when three letters picked without replacement from cggcggugccgcggc?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.034 - -0.071. Let h = y + -36.105. What is the second biggest value in 1\/6, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*a**4 + 21*a**4 + 22*a**4 + (-3*a**2 - a + a)*(-3*a**2 - a**2 + 2*a**2) + 0*a**4 + 0*a**4 + a**4.\nAnswer: 36*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 326566.1 - 326543.0999275. Let y = r - 23. What is y rounded to 6 decimal places?\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18.589 and 5?\nAnswer: 23.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 306661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 l when four letters picked without replacement from iiimmlilheehlmme.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 4 + 5 - p**2 + 7.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15322? (a) -4 (b) -71 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 2*z**2 + z. Let l be (-24)\/(-20)*(-30)\/(-18). Let d be j(l). What is the nearest to -2 in -0.5, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 times 15\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3 + 3*t**2 + 2*t - 5. Let y(s) = s**3 + 11*s**2 + 10*s. Let c be y(-10). Suppose c*z - z = 5*u - 17, 0 = u + 3*z - 9. Is f(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 23. Let r be (-1 - (-2)\/4) + 1. Let f = -672 + 671.6. Which is the third biggest value? (a) y (b) f (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19484?\nAnswer: 2, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 + 10*j + 8. Let i be u(-6). Is 4330\/8 - 5\/i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -7, -18, -27?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**8\/x*x)\/x*x)\/(x*x**(-5)))**(1\/56) assuming x is positive.\nAnswer: x**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.563 + 3.6. Let v = -0.087 - k. Round v to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 108420 to the nearest one thousand.\nAnswer: 108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 19635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 9:35 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -17*c**2 + 35*c - 5. Give h(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*a**2*x**2 + 12*a**2*x + 2*a*x**4 + a*x**3 - 12*a*x wrt x.\nAnswer: 42*a**2 + 24*a*x**2 + 6*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -741 + 741. Let t = 23 - 47\/2. Which is the nearest to l? (a) -1 (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 59\/63 - 26\/(-91).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-5 - (-4 + 16))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2415*f - 6 = 2412*f. Solve f*u = 45 - 45 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129360258.\nAnswer: 2, 3, 7186681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 14 = 10*l. Let a(g) = -g**2 + 4*g - 9. Let j be a(l). Sort 9, -4, -3, j in descending order.\nAnswer: 9, -3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*f + 10 + 114 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 - -1.53. Let l = d - -0.4. Let o = -1.99998 + l. Round o to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**2)*q)\/((q\/q**(-2))\/q))\/(q**(-1\/3)*(q*q**(-2\/11)*q*q*q*q)\/q))**(3\/41) assuming q is positive.\nAnswer: q**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132\/6029 or 1?\nAnswer: 132\/6029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/12)\/u)\/(u\/((u\/u**(-2)*u)\/u)))\/(u\/u**(2\/7))**(18\/7) assuming u is positive.\nAnswer: u**(-541\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 4*l - 5 - 21, 0 = -3*k + 3*l - 6. Let h be ((-2)\/4)\/(42\/(-20) - -2). Let z = 7 - h. Solve 0 = -2*i - 2*v - 8, z = k*i - v - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/(-3) + (-2)\/6. Suppose 21 + i = n. Solve -2*m = 3*m - n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (21 - -25 - 26) + (10 - 3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 d when three letters picked without replacement from {a: 6, d: 6}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 times 1.15?\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**4\/2 + 19*v**3\/2 + v**2\/2 - 19*v\/2 = 0.\nAnswer: -1, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-10))\/(-41 - 624\/(-16)). Which is the nearest to 1? (a) -9774 (b) j (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48971\/301 or 163?\nAnswer: 48971\/301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-14))\/(50\/175)*12\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 494*a = -493*a, -5*i + 17*a - 80 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -32, 24.56, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139.6 - 140. What is the smallest value in v, -3\/8, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133945, -267899, -401853, -535807?\nAnswer: -669761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6310?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 x when three letters picked without replacement from {n: 2, x: 2, q: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -264612 (base 7) to base 11\nAnswer: -34378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (120\/(-8))\/(-5)*(-4 + 2). Does 12 divide 770\/(-60) - -13 - 575\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a. Suppose -3*z - 4*i - 10 = a, i + 22 = z - 4*i. Let u(k) = 0*k**2 + 0 - 3 - z*k**2 + 2*k + 2. Determine u(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -0*f + 2*f. Suppose 55*l - 65*l = -1170. What is the remainder when l is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -129844668, -129844667, -129844666, -129844665, -129844664, -129844663?\n\"Answer: l - 129844669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3*sqrt(153) + sqrt(153)))\/((-1*sqrt(72))\/sqrt(8)) + -5.\nAnswer: -5 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -20001?\nAnswer: 20020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (3 + 4 - 5)) + (167 - 154) - -4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9*(8\/(-6) - 2). Let y be (-35)\/(-1) - ((-3)\/27 + 230\/45). Does y = k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/354 and 1\/2282?\nAnswer: 403914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j - 134 + 264 - 135. Let s be (-4)\/(-18) + (-112)\/18. Let x(t) = -t**2 - 5*t - 4. Let v(q) = s*x(q) + 5*m(q). Differentiate v(o) wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4834 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*6\/(-8) - 484\/688. What is the smallest value in y, -3\/7, 20?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -7741 (b) 4 (c) -16 (d) 2\/7 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4.38*0.0106\nAnswer: 0.046428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084133 is divided by 717.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/8)\/((-1)\/4). Suppose 0*k + 9 = 3*k. Let v = 1 + k. Solve r*x - v*x + 2 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3751*w = 3685*w - 1914 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 42*k - 38. Let u(n) = 14*n - 12. What is -5*r(f) + 16*u(f)?\nAnswer: 14*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*w + 13. Let z be -2 + w\/(-10)*-1. Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5824910 and 0.3.\nAnswer: 1747473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-4 + 5) - (3 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*s + 96 = 0, -116 = 2*o + 3*o - s. Let l = o + 25. Solve -q = -l, -2*q + q = v - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**3 - 211524*w**2 - 14*w**3 + 211529*w**2.\nAnswer: -22*w**3 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 2*d - 4. Let y be p(4). Let t(a) = -a**3 + 5*a**2 - 4*a. Let v be t(y). Suppose -3*h + v = -6. Solve -2 = 4*w - h*o + 8, 2*o - 15 = 5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-588)\/784)\/(((-30)\/(-32))\/(-1)). Let s = -1 - -2. Which is bigger: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2511566*i**3 - 104*i**2 - 940*i + 1.\nAnswer: 15069396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 274114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2 + 3, 3*c + 2*r = 2879. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -16 + 13 + (2 - 1). Let v(s) = s**2. Let c(o) = -o**2 + o + 1. Let m(u) = 2*u + 3. Let p be m(-2). Determine p*v(b) + t*c(b).\nAnswer: b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) + -1)**2 + -1 - sqrt(19)) + 5*sqrt(304))*6.\nAnswer: 114 + 102*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1209 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/665 and -41\/252.\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -235 + -14?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -106\/221 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) + -2 + sqrt(468) + sqrt(39)\/(sqrt(3) - sqrt(75)).\nAnswer: -2 + 47*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*n + 8936 = 153*n - 7768 for n.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 434 and 385?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 4)*(-4*b + 2 - 2)*(0*b**2 + b**2 + 2*b**2) to j + m*b**3 + n*b**2 + g*b and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3 = -27. Suppose p + 4*n = -p + 14, -3*n - 9 = -5*p. Let i = p + b. What is the remainder when 25 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171153383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, s: 4, x: 13}. What is prob of picking 3 c and 1 x?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 1792 = 2. What is the second derivative of -13*c**3 + b - 178 + 52*c - 180 wrt c?\nAnswer: -78*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-10))\/((-7 - 63126\/(-9030))\/1)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*l + 16 = -172*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23809417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1866, -4088, -6660, -9582?\nAnswer: -12854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aazazzaezaaaaaazaza. What is prob of picking 1 e and 3 a?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*k - 21. Let i = 18 - k. Suppose -2*h + 4*d = -10, h + 2*d + i - 36 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34007070*l**3 + 4*l**2 + 228952759*l?\nAnswer: -204042420*l + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347292 is divided by 106.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mazzkajjmjjjmmmamazi. Give prob of picking 1 z and 1 j.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.68 + 0.08. Let k = 1.513 + -0.263. Let z = t + k. What is z rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138\/(-66)*-11 + (5 - (2 - 7) - 4).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkbbbbkbbkbkbbbbkb. What is prob of picking 2 k and 1 b?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 1 - -4 - 6)\/1. Let h = 39 + -39. Let n be ((-1)\/(-3) + h)*(2 + -17). Sort n, c, 9 in descending order.\nAnswer: 9, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/22)\/((-2)\/(-44)*(-1328)\/(-5146))?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -125, -113, -85, -35, 43, 155?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11\/7 - -2\/21. Sort -2\/3, -2\/5, l in decreasing order.\nAnswer: l, -2\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4*x. Suppose v + 3*v = x. Is v equal to -1\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:02 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*j + 61*j + 37*j in the form r + t*j and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -43b29496 + -3?\nAnswer: -43b29499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*g + 512, -3*s - 33 = -3*g - 399. Suppose -6*v + s = -31. Let w be (-12)\/(-18) + 0 - v\/(-6). Solve 2 = -w*z - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -794628 by -22073.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6702 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6689173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -3)*2 - -4. Put -1, z, 1 in decreasing order.\nAnswer: z, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23587, 23579, 23571?\nAnswer: 23563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 27924 divided by 537\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -75, -2\/5, -1.3, 1\/4 in ascending order.\nAnswer: -75, -1.3, -2\/5, 1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60311 or 191.1?\nAnswer: 191.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 13 (c) 268 (d) -0.1 (e) -0.5 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -242 + 241. Which is the closest to -3? (a) 2\/11 (b) j (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*l - 3 - 53*l + 54*l + 1 + 1 - 1 + 2*l - 1 - l + 1 + (0*l - l + 0*l)*(-1 + 1 + 2) in the form j + f*l and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 411 (base 13) in base 8?\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b + 41*b**2 + b - 2*b + 4*b**2.\nAnswer: 5*b*(9*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 155.1108 nanograms?\nAnswer: 0.0001551108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 857955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 572 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -31126 (base 7) to base 4\nAnswer: -1312333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m + 909 - 909)*(-4*m - 1 + 1)*(2*m - 5*m + m) + (-m**2 + m**2 + 2*m**2)*(-84 + 84 - 67*m).\nAnswer: -62*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 240.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 221953141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 1928.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.029009 * 16.\nAnswer: -0.464144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - b. Let m be c(-2). Let i be m\/((40\/(-12))\/5). Let -2 + 7*y**4 - 2 + 59*y + 16*y**i - 75*y - 3*y**2 = 0. Calculate y.\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 199.38 and -0.4.\nAnswer: -79.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 7:37 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 21*b**3 - 3*b**2 + 5*b + 4. Is p(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -161615 - -1784155\/11. Let p = -581 + w. Which is smaller: p or 14\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*l - 90*l + 17908 = 21*l + 326*l for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1248395642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from buub?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-50)*(-10)\/(27\/(-18)*(-304)\/19)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -98429, -196854, -295279?\n\"Answer: -98425*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/7*(0 + 1). Let j be 2*(1 + (-10)\/9). Let o = -67 - -203\/3. Which is the nearest to o? (a) -1 (b) j (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**3))\/(v\/((v\/((v\/v**2)\/v))\/v*v))*(v**(1\/5)\/v)**(-1\/21))**(-29) assuming v is positive.\nAnswer: v**(2929\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 3*o + 5*o - 10 + 10 + 8*o + (o - 4*o + 4*o)*(-1 - 1 + 4) + 3*o - 2*o + o + 3*o - 2*o - 3*o + 2*o + 0*o + 0*o)*(3*o**4 + 0*o**4 + 2*o**4).\nAnswer: 65*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 5, 0, 1, -3 in increasing order.\nAnswer: -3, 0, 1, 5, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8708952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**2 - 8*f - 1. Is o(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 32*u - 12. Let z(w) = 19*w + 1. Let y(i) = 18*i. Let c(b) = -6*y(b) + 5*z(b). Calculate 12*c(o) + 5*j(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1200, 12, -23 in decreasing order.\nAnswer: 12, -23, -1200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74639 - -126936.\nAnswer: 52297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -0.2. Is 7 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5186 + 0.2186. Let r = 74\/3 + -24. Which is the closest to r? (a) -5 (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -261874167 and -12.\nAnswer: -261874179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 202*h + 1414. Let m be t(-7). What is v in 0*v - 3\/7*v**3 + m + 15\/7*v**2 = 0?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10*d**3 - 10*d**2 - d. Let o(r) be the third derivative of -r**2 + 7\/60*r**5 - 7\/120*r**6 + 0*r**3 + 1\/24*r**4 + 0 + 0*r. Determine 5*i(j) + 7*o(j).\nAnswer: j**3 - j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100 (base 4) in base 10?\nAnswer: -272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.7 + -0.7. Let h = d + -14. Let x = 6 + -17\/3. Which is the nearest to 0.1? (a) 2\/13 (b) x (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/5*-715*20\/(-880)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 456201253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*y + 6, 3*t + y - 4 = 0. Let f(m) = -118*m**2 - 118*m**2 + 237*m**t. Let k(r) = 5*r - r - 2*r. Calculate f(k(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 284920 or 2849197\/10?\nAnswer: 2849197\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.038018 - 0.186072. Let n = -1.294 + 1.52. Let h = n + p. What is h rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -3\/32 (c) -0.2 (d) -2\/29 (e) 3 (f) -3\/26 (g) -0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 324301223324?\nAnswer: 324301223314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**2 + 0 + 0)*(2*x**2 - 2*x**2 - 2*x**2) - 2*x**2 + 14*x**4 - 51*x**3 + 51*x**3 in the form z*x + j*x**3 + v + s*x**4 + t*x**2 and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 66253 divided by 2?\nAnswer: 66253\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/(1\/4). Suppose -y*r - 2 = -0, 4*d + 5*r + 9 = 0. Let m = d - -5. Which is the closest to 1? (a) 1\/8 (b) m (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzuu when four letters picked without replacement from zuuuz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8) - (-77)\/112*-12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-7))\/(((-256)\/(-1280))\/((-14)\/5)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 3. Suppose n*o + 4*k - 8 = -k, -o + 2 = -k. Let s be 80\/25*(o + 549998). Round s to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b (base 14) to base 3.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m + 3*r - 6, -2*m + 4 = r. Let i(z) = -2*z - 3. Let t(x) = -6*x - 8. Let h(p) = m*t(p) - 10*i(p). Let q be h(-3). Solve -g + 3*g - 8 = q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7d - -2e?\nAnswer: -4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 3:22 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1 - (12 - 17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -13 + (-5715)\/(-330) + (-26)\/(-22) + -1. Which is bigger: 3\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35796973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l = -40*l + 6. Is -3\/50 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38472, -153911, -346308, -615663, -961976?\nAnswer: -1385247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 0. Suppose -2*n - 5 - 10 = -o, 0 = 2*o + r*n. Let z(i) = o*i - 8*i - i**3 - 2*i**2 - 2*i**2. Calculate z(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11913 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/10)\/((126\/16)\/9). What is the nearest to 2 in 0.2, -0.5, w, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijq when three letters picked without replacement from {z: 1, i: 2, r: 4, q: 1, j: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 13*i + 455. Determine g(-29).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444 is divided by 163?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28058 is divided by 2464.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6364117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 7861, -18, -5 in descending order.\nAnswer: 7861, 20, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 z when four letters picked without replacement from {z: 11, e: 1, y: 3}.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 30.785328ms?\nAnswer: 0.00000855148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 78\/12 - 1\/(-2). Let x = z - -2. Let s = x + -4. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234479870, -234479868, -234479866?\nAnswer: -234479864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9)*z**3\/z)**14\/((z**(2\/9)*z*z**5)\/(z**(5\/2)\/(z*z\/((z\/z**(-2\/5))\/z)))) assuming z is positive.\nAnswer: z**(2321\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3066973.2 and 138938.\nAnswer: 3205911.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -0.4 (b) 2\/591 (c) 4 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5701461?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77704 - 77669.989. Let g = 34 - y. Let m = g + -1.879. Round m to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140032 (base 5) to base 16.\nAnswer: -160a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millennium in centuries?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 1 - 3. Let k(x) = 40*x + 2. What is the units digit of k(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**4\/4 + 5*b**3\/6 + 8*b**2. Let a be -9*(0 + 1\/(-1)). Is i(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -27.164. Let n = -0.16399931 + f. What is n rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9896271*i**2 + 209*i + 3610 wrt i.\nAnswer: 19792542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 2*f**2 - f + 1. Suppose m = 460*v - 456*v - 6, 3*m + 8 = 2*v. What is r(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.06627494 and -7695.637?\nAnswer: 7695.57072506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144 (base 5) to base 6.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*h + 8, r = -3 + 5. Put h, 17, -4 in increasing order.\nAnswer: -4, h, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**2 + 30*v - 2. Let g(n) = -748*n - 2986. Let y be g(-4). Determine a(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 404*o**5 + 8429*o**4 + 2*o**3 + 12446189*o**2?\nAnswer: 24240*o**2 + 202296*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1504\/91 - -226\/13. Which is bigger: -9\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 17*j**2 + j - 6. Let s be v(2). Let q be 4\/s*4*20. Solve -q*m = -6*m + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -11. Let v be ((-29)\/x)\/(1\/(-2)). Let q = 59 + v. What is the greatest common factor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6769809 + 3230191 = 0. What is z rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 7*n**2 + 6*n + 44. Give c(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*u - 30 = 0, 7 - 25 = 3*p - 2*u. Is p bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 4*y + 0*y - 3*y + (-208 - 80 + 144)*(y - 210 + 210) to the form z*y + h and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1499)\/((-12)\/8 - -1). Let h = -63106\/21 + j. Let v = 54\/7 + h. What is the third smallest value in 3, v, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146897363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5)\/(x*x**3))**(-28)*((x\/(x*x**(-7)))\/(x**(-2\/21)\/x*x))**(-9\/10) assuming x is positive.\nAnswer: x**(6609\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080446893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + x + 3*x)*(-x**3 + 4*x**3 - 12*x**3)*(-1 + 0 + 3).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-5)*(s**(-1\/16)\/s*s)\/s assuming s is positive.\nAnswer: s**(-97\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*z + 96 = 0, -6*w + z + 47 = -5*w. Find the common denominator of -133\/6 and (w\/(-30))\/(21\/(-113)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, v: 2, b: 4}. Give prob of picking 1 b and 1 v.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2782029 to the power of 1\/2, to the nearest integer?\nAnswer: 1668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 2*r - 56 = -5*r - 7*k, 16*k = 3*r + 84 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 5400\/(-1120))\/((-2)\/16*-2).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19629989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 239541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -3, 3, -727 in decreasing order.\nAnswer: 4, 3, -1, -3, -727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f*f*f**(-1\/4))*f**2)\/((f*f**2)\/f*f**2))\/(f**(-2)*f*f*(f**(2\/17)\/f)\/f*f*f**4\/f*f\/f**(-6\/7)) assuming f is positive.\nAnswer: f**(-3677\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88625088?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (1*-2 - 6). Let l be (2 + 0)*3\/z. Let v be 0 + 3*(-6)\/9. Which is the closest to l? (a) 5 (b) 1\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -268, -1.82, -5 in decreasing order.\nAnswer: -1.82, -3, -5, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 - 2) + -13 + 30 + (-3 - 23).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4926 is divided by 145.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*p + 140 = 0, 0 = 4*j - 0*p - 5*p - 112. Suppose -8*n = -n - j. Suppose n*c + c - 5755 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p - 1608*p**2 - 10*p - 5*p.\nAnswer: -1608*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 1779400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = 5*c - 8*b - 1112, -4*c + b = -889. What is the remainder when c is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313.709 litres in millilitres?\nAnswer: 313709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7293)\/1224 + 5\/((-15)\/(-18))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24749.91 rounded to the nearest ten?\nAnswer: 24750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1838, 1957, 2076, 2195, 2314, 2433?\n\"Answer: 119*t + 1719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djz when three letters picked without replacement from {x: 3, d: 1, u: 2, z: 5, g: 1, j: 1}?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + -12 - 3) + -4 + -20 + 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -45037966*o**2. Let l(k) = -15*k. Calculate l(z(a)).\nAnswer: 675569490*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**4\/12 - a**3\/2 - 44*a**2 + a + 2553. What is o(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l = -2413 + 2248 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a tonne in kilograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 3*j**2 - 2*j + 1. Let v be r(-4). Solve -v = -5*o, 4*o + 2 = -4*t + 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + o - 10 = 0, 3*n + 21 = -31*o + 35*o. Suppose 2*c - 3 = -13. Put 3, c, n, -7 in decreasing order.\nAnswer: 3, n, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61.1563261 + 84.\nAnswer: 145.1563261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -p + 2. Calculate the lowest common multiple of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 2. Suppose -6*f = -5*f. Let n be g(f). Solve -o - 3*o = 2*m + 4, m + 3*o = -n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 2375*b**2 - 524222*b - 1038952.\nAnswer: -(b + 2)*(b + 244)*(b + 2129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/4*(-6 - -4). Suppose -3*o - 2*i = 0, d*o + i = -0*i. Solve -3*b - 9 = -2*k + 6, o = -k - b - 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 15) in base 13?\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1357 and -198.8.\nAnswer: 269771.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.10626 + -37179403.\nAnswer: -37179402.89374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2151130 (base 8) in base 14?\nAnswer: -110996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 285589017 to the nearest integer?\nAnswer: 16899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89404 and 5642?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*u + 144 = 6*o, -3*o = -2*u - 94. Let t be 744\/(-10)*o\/(-9). Let f = t - 153. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g + 1820 - 1760 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14843529*h**2 + 47056929*h wrt h?\nAnswer: -29687058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 v when four letters picked without replacement from rvrvrrrrvrrrvvrrvvr?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -0.4, -19, 0.7138, 0.06, -3?\nAnswer: 0.7138","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/2))**(-1\/15)*(f**(-2\/9)*f)\/f*f*f*f**(-11) assuming f is positive.\nAnswer: f**(-839\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3952260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 5*s + 1 = 8*x, x + s = 11. Suppose -9*v + x + 172 = 0. Calculate the highest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 - -2. What is the remainder when i is divided by (-1251)\/(-54) + 8 - (-40)\/48?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62472 - 3087 = 798*c - 265*c for c.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2431 + 2423. Let m(q) = 4*q + 8. Give m(z).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1163891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -478d2 - -3?\nAnswer: -478ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 15*g**2 - 2*g - 4. Let u be j(-15). Calculate the remainder when 270 is divided by (u\/(-8))\/((-88)\/(-32) - 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**5\/20 + u**4\/2 - 5*u**3\/6 - 3*u**2\/2 + u. Let y(b) = b**2 - 3*b - 6. Let r be y(5). What is the units digit of t(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8279421, -8279418, -8279413, -8279406, -8279397, -8279386, -8279373?\n\"Answer: g**2 - 8279422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21411443819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from sybyzbzzbzpszsszspbz?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33076627 equal to 33076628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 546\/117 - 10\/6. Let t(p) = -p - 7 + 10*p + 10 - f. Let u(z) = -24*z. Calculate u(t(r)).\nAnswer: -216*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 15 = -5*o. Suppose 0 = o*h - 5 - 10. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.096, -2, 24 in decreasing order.\nAnswer: 24, -0.096, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.022 and -110.\nAnswer: -110.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s + 28. Let d be r(7). Let i(f) = -4*f**2 - 27*f + 4. Let q be i(d). Sort 2, 5, q, -5 in descending order.\nAnswer: 5, 2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -474 - -327.5. Let k = -147 - b. Put -0.9, k, 5\/2 in descending order.\nAnswer: 5\/2, k, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 + -0.8. Let x = s + 1.9. Sort 2\/11, -5, x in descending order.\nAnswer: x, 2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Let q(k) = k**2 - 2*k + 4. Let s be q(3). Let m = -4 + s. Which is smaller: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -30*x - 66. What is m(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 (base 14) in base 16?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7 - -0.3. Let k = w + -2.2. Let b = -13 - -8. What is the nearest to 1 in b, 2\/13, k?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 340 divided by 1\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i + 72. Let q be h(-12). Suppose q = 2*b + 3*o - 25, -o + 18 = b - 5*o. Solve -b + 39 = -5*l + s, -2*l = -5*s + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 - 20*c**2 - 21*c + 9. Let o(f) = f**3 + 20*f**2 + 20*f - 8. Let a(p) = -2*d(p) - 3*o(p). What is the remainder when 206 is divided by a(21)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299256864 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -13 + -288 + 294.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a century in months?\nAnswer: 25800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(255\/12)*27\/(-54).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in 4654, -54, -4, -2\/13, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 - 45. Suppose -24 = -16*u + 8*u. Suppose -q = 2*q + 3*d + 18, 2*d + 13 = -u*q. What is the closest to -1 in l, q, 0.03?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t**3 + 10*t**2 - 4*t + 4. Let j be w(2). Is -36\/13 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 26)\/(3*-1)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sscuuqyw. What is prob of sequence uwy?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155 > 3157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5875 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -45570*w**3 + 248*w**2 - 248*w - 248. Let r(c) = 549*c**3 - 3*c**2 + 3*c + 3. Give -248*r(l) - 3*u(l).\nAnswer: 558*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -688 - 2.28\nAnswer: -690.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -96159 smaller than -96159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-329)\/(-63) + (-2)\/9. Suppose -3*w = -p*w. Solve w = -g + 1 - 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a - 8 + 30 + 7*a + 2*a + 3*a. What is n(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or 12.10483?\nAnswer: 12.10483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*j**5 - 45*j**4 - 2*j**3 - 2*j - 25 wrt j.\nAnswer: -340*j**3 - 540*j**2 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 7258?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -4, -2, -1 in decreasing order.\nAnswer: 2, 0, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.241 + -11715726?\nAnswer: -11715726.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -429 + 377d56?\nAnswer: 37792b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -13*x + 2498. Let c(m) = -2*m - 4. Let z(d) = -6*c(d) + q(d). Let t(b) = -2*b. Determine z(t(w)).\nAnswer: 2*w + 2522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 9 + 1, -3*m + 136 = -4*s. Suppose 2*a - 3*a + 4*c + 13 = 0, -4*a = c - m. Suppose -9 = 2*w - a. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (32 + -32 - (-1 + 12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7599?\nAnswer: 3, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52053.6 rounded to the nearest 100?\nAnswer: 52100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 4*f - 55127, x - 20954 + 2562 = -f. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and 0.119 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -686.\nAnswer: -1\/686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + 51481 - 51481 + 5*n**2.\nAnswer: 5*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -5. Let j = x + 1. Let b(y) = 1 - 11*y**j - 3*y**2 + 3*y**2 - y. What is b(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*t + 31423 - 8623 = 273*t - 88*t for t.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*p - 13 - 0, 2*i = -2. Let c(r) = -4*r**2 - 20*r + 20. Let g(w) = -w + 1. Let j be 120\/14*(99 - 2547\/27). Calculate j*g(t) + p*c(t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1015*d**2 + 41*d - 179. Is g(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.37 - 16.37. Let w(m) = m - 1. Let h be w(2). Let s be (0 + -1)*(-2)\/h. Which is the fourth smallest value? (a) x (b) 5 (c) s (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -582 - -3359. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 268*m**3 + 3444*m**2 - 35372*m + 54760.\nAnswer: 4*(m - 5)*(m - 2)*(m + 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x - 12. Suppose 0 = -12*k + 15*k + 18. What is the tens digit of c(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.121 - -0.509. Round y to two dps.\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 2*o + 3*d, 2*o - 27 = 5*d + 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 325569.2 millilitres?\nAnswer: 325.5692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 95114.95ml?\nAnswer: 95.11495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6603 + -4942. Is 151 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 554*p + 186*p + 918*p as f*p + l and give f.\nAnswer: 1658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*s + 27, 4*v + 3*s - 17 = -0*v. Suppose 0 = -4*p - 2*c + 128, -v*c = 2*p - 63 - 9. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 13*v**2 - 8*v + 21. Let j be d(11). Suppose -2*x + 917 = j. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1915213872?\nAnswer: 2, 3, 11, 13, 279023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2187.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2800\/(-150)*18\/(-7) + 0\/(-3). Solve -72 = l*w - 264 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19668053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3150\/(-84)*112\/60.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8383 is divided by 4190.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18179 + 4376. Is t\/(-301) - -1*1\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 8:18 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*a - 19*a - 190. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 254096 by -3.\nAnswer: -254096\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.38 to the nearest integer.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -0.2. Let b = h + 0.05. Let k = -0.05006 + b. Round k to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) -1 (b) 105 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 3:08 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*g**4 + 20928444*g**3 - 176353285?\nAnswer: -24*g**3 + 62785332*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2472528 and 412088.\nAnswer: 2472528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1805 divided by -263182.\nAnswer: 1805\/263182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.4603, -1\/2, 2\/7, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11978.7 + -11979. What is the nearest to 1\/3 in v, -1, -135?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**2 + 0*f**2 - f**2.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.6844 - -1.68451092. What is b rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -387 + 382. Sort -2, -3, -0.3, y in decreasing order.\nAnswer: -0.3, -2, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2448) - ((-2*sqrt(2448) + sqrt(2448))*-2 + sqrt(2448)) - (-2 + 1 + sqrt(272)))**2.\nAnswer: -56*sqrt(17) + 13332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/9*(-126)\/14*30\/(-20)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 2:19 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 1, w: 1}. Give prob of sequence lz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.2, 3803, -167, 4, -2\/3 in descending order.\nAnswer: 3803, 4, 2, -0.2, -2\/3, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (2 - 5))\/(-2). Suppose 4*l + 0*l - 5*o - 159 = c, -85 = -2*l - 3*o. Solve 0 = -5*f + 25, -4*h + 7*f = 2*f + l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z - 2. Let x be a(-4). Suppose x*j = 10 + 8. Let u(i) = 8*i - 7. Let k be u(j). Calculate the greatest common factor of k and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -c - 23, 0 = 5*g + 2*c + c + 60. Is 638 - g\/(-4)*12\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/3 + 6\/(-9)*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11545, 11522, 11499?\nAnswer: 11476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -34, -50, -64?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143594, 1, -3 in increasing order.\nAnswer: -3, 1, 143594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 - 209 - (2 - (-1 - (-3 + 1)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*i - 16, -5*i + 11 = 2*g - 9. Let s be (-1 + (4 - 2))*g. Suppose 4*b - p + 4*p - 41 = s, b = 4*p - 4. Solve 7 = 5*u - b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 7*p + 3. Let l be x(-5). Let c = 11 - l. Suppose o = -o + c. Calculate the highest common factor of o and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqnqpnyyppp. What is prob of picking 1 q and 1 y?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 58 - 5?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-0.123.\nAnswer: 0.0492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -145*g**4\/48 + 15*g**3\/4 - 2*g + 861. Determine a, given that q(a) = 0.\nAnswer: 0, 18\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4) - 15\/((-270)\/21).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.7 + -10. Which is the nearest to -1\/4? (a) 3 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000025696587 rounded to 7 decimal places?\nAnswer: 0.0000257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in hours?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -378, -332, -274, -198, -98, 32?\n\"Answer: u**3 + 39*u - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 850643 - -12?\nAnswer: 850655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/159622 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5907 + -4142. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -16. Suppose 3*l - 8*l + u = -3*q, -4*l - 2*q = -24. Let j(x) = -x**2 + 7*x + 12. Let b be j(8). Solve -4*n + 2*n = l*h - 6, -b*h - n = -3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -104, -211, -318?\n\"Answer: -107*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y + 26. Let s be f(5). Suppose -s*l + 229 = -112. Calculate the greatest common factor of 279 and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10.098, 25, 0.2, 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83*h**2 + 23*h**2 + 24 - 32*h**2 + 77 wrt h.\nAnswer: 148*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -73*d**2 - 422*d + 23. Let w be p(-5). Factor -w*v - 25\/3*v**4 - 196\/3 - 949\/3*v**2 + 110*v**3.\nAnswer: -(v - 7)**2*(5*v + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -76, 4, -42 in decreasing order.\nAnswer: 4, 1, -42, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24612, -196929, -664700, -1575669, -3077580?\n\"Answer: -24624*j**3 + 17*j**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 7. What is the first derivative of 2*f - o - f + 0*f wrt f?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 54 = 10*j. Solve 0 = -2*p + 5*f + j, -3*p + f - 6*f = -1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, i: 1, k: 1, q: 11, p: 1, c: 3}. What is prob of sequence hhkq?\nAnswer: 11\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = 4*c, -5*n + 5*c - 10 = -0*c. Let m(k) = 2*k**2 - 1. Determine m(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4118424?\nAnswer: 2, 3, 157, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6599*s - 92289. What is q(14)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -700*w = -r - 1399*w + 703*w + 48, -10 = 5*w for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 515, 1151, 1907, 2783?\nAnswer: 3779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 758841614 to the power of 1\/3, to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/7358 and -35\/9256.\nAnswer: 2619448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1403144 (base 5) to base 12.\nAnswer: -14631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8553734 a multiple of 686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 5*w**2 - 5*w - 6. Let u be r(6). Suppose u = -2*j - j + 6. Suppose 3*m + j*m = 3*x - 434, 0 = -3*m - 3. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*z**2 - 4*z**2 + 0*z + 0*z.\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 + 38238*p**2 - 364885248*p - 12450340864.\nAnswer: -(p - 19136)**2*(p + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rw when two letters picked without replacement from {w: 1, r: 1, y: 2, v: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.0616 (b) -1\/10 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 11*h + 707. What is j(-17)?\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2271907517.\nAnswer: 11, 79, 2614393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-8)*(-24)\/40.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -478 + 478. Solve g*c + 3*c + 12 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**4\/7 - 8452*h**3\/7 + 25332*h**2\/7 - 25324*h\/7 + 8440\/7 = 0.\nAnswer: 1, 2110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwwvkgnhnvknwgg. Give prob of picking 1 v, 1 n, and 1 w.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9774656?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-2))\/(-16*10\/(-1520)*-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/(2\/((-60)\/(-6)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.00979 years in months?\nAnswer: 1188.11748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2523186 and 101\/714?\nAnswer: 300259134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) + (-60)\/9. Let l(o) = -2661 - 4*o**2 - 6*o - o**2 + 2667. Let n(b) = 9*b**2 + 11*b - 11. Calculate r*n(d) - 11*l(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14924.08513 minus 2.5?\nAnswer: -14926.58513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11154203?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1260289?\nAnswer: 19, 113, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 938969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -21, 2, -0.09, -2.6, 1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*c**2 + 0*c + 1\/7*c**4 - 1\/7*c**3 = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -255.7 + 256. Which is the second smallest value? (a) 0 (b) m (c) 0.5 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 - 104*f + 890. Determine c(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.001917 and -0.099661966.\nAnswer: -0.101578966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2190 and 50?\nAnswer: 10950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17621476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45651720 and 41086548.\nAnswer: 410865480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -346, -533, -668, -733, -710, -581, -328, 67?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33057079?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-4)*8\/(-6). Suppose 4*z + p - 7 = 0, -4*z + 12 + 25 = -5*p. Factor q**z - 3*q**2 + 2*q - 3*q - 1 + d*q + 2*q.\nAnswer: (q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-78)*13)\/((-6)\/(-100)). Solve -32*w + 27*w = -j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000065564 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 24 = 2*r + 11, 0 = 2*b - 3*r - 5. Suppose -j + v - 4 = 0, 6*v - 19 = 4*j + v. Sort b, 3, j, 2\/17 in ascending order.\nAnswer: b, j, 2\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -2300?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2404080 and 2448?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f + 55 - 48. Let a(x) = 7 + 4*x - 29*x**2 + 201*x**2 + 2*x. What is the tens digit of a(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47365 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -22384*0.1\nAnswer: -2238.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 5)*(1944\/20)\/(-3). Let s(t) = -t + 11. Let y be s(8). Suppose 357 = 4*m - 3*p, 3*m + u - 432 = y*p. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10069917 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2193323, 4386785, 6580247?\n\"Answer: 2193462*t - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (64\/(-2900))\/(34\/(-85)). Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5436622301?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-2 + -2 + 4) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23251891924241\/8681592421740 - 3073\/242516130. Let m be (-2)\/(-8 - 2)*(-120)\/(-92052). Let h = j - m. What is the common denominator of h and -17\/6?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380 divided by -20?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2. Let s(f) = f + 3 - 3. Let l(r) = -2*r - 21. Let y(j) = -12. Let a(x) = 4*l(x) - 7*y(x). Let k(z) = -a(z) - 5*s(z). Give k(p(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*i = 462*i + 3*q - 51, -34 = 22*i - 5*q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 11308*m**2 - 61943616*m + 184112892432.\nAnswer: 4*(m - 3402)**2*(m + 3977)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1463038?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/92 and -48\/115?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -369\/31 + 22534\/1953. Find the common denominator of r and (-3)\/(2 - 384\/136).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 3)*(2*x - 2 + 2)*(-9 - 1 - 5 + (1 + 0 - 2)*(1 - 5 + 3)) as i + p*x and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 381.58 millilitres in litres?\nAnswer: 0.38158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2 + 0 + v + 0*v + v**2. Is z(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 6409407 in decreasing order.\nAnswer: 6409407, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7595325 and 10?\nAnswer: 15190650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**4 + 0*j**4 + 3*j**2 - 65 + 0*j**2 - 2*j**3 + 66 in the form z*j**2 + d*j**4 + i*j + y*j**3 + k and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixx when three letters picked without replacement from iititttxtxit.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 8) in base 4?\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 2*b - 3. Let w be u(-2). Let r = 3 - w. Find the common denominator of r\/6*99\/(-10) and 29\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*a = a - 6, -4*a + 10 = -5*k. Let p be ((-28)\/(-12) + -2)*(-30)\/k. Solve 16 = 2*o + 4*x, -3*o + p*x = -6*o + 21 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -322 by 102.\nAnswer: -161\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/3*675\/20. Let x be 3\/(-2) + p\/(-36). Let u(z) = -20*z + 1. Determine u(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94154*m**4*n**2 + 2*m*n**2 - 10*m*n + 27*n**2 + 16*n wrt m?\nAnswer: -1129848*m**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 713186707 to the power of 1\/2, to the nearest integer?\nAnswer: 26706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/17559 and -95\/104226.\nAnswer: 610034778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 9:43 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 17*a - 778. Calculate q(40).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3755738*l + 3755801*l + 3339 for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((q + q + 0*q)*(2*q**2 + 2 - 2) - 129*q - 8*q**3 + 129*q)*(2 + 1 - 1).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -148, -157, -178, -217, -280, -373?\n\"Answer: -n**3 - 2*n - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/1238220 and -63\/16.\nAnswer: 4952880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10311 - 131?\nAnswer: 10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102 by 34.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and 247146?\nAnswer: 247146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 258\/13. What is the closest to 1 in r, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 13. What is the third derivative of -d*x**2 - 2*x**3 + 5*x**2 + 4*x**2 wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156921?\nAnswer: 3, 19, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19210589*l**3*x**5 - 5454*l**3*x**2 - 1750*x**2 wrt x?\nAnswer: 1152635340*l**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 2403.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 - 6*t**3 - 32*t**2 - 24*t.\nAnswer: 2*t*(t - 6)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*d + 1 = -18, 3*d + 29 = 5*l. Is 369\/(-6)*l\/(-6) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65142880 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -359909000 to the nearest one million.\nAnswer: -360000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -54593 at least as big as -54593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwucjp. Give prob of picking 1 p and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5 = -4*y - 11, 5*u - 5*y = 30. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**5 + 3*u**5 - 6*u**5)*((2 + 0 - 1)*(4 - 3 - 3) - 1 + 3 - 4 + (0 + 1 + 0)*(1 + 1 - 1)).\nAnswer: -6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/125)\/((-188)\/25)*12\/15.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*n + 27, 4*j + 13*n - 29 = 16*n. Calculate the remainder when 67 is divided by (-100*j\/10)\/(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239809 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 14*j + 8. Calculate a(10).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k - 5. Suppose 3*q = -y - 4, -5*q + 2 = 5*y - 8. Calculate the least common multiple of p(q) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 + 364*z**2 + 5911*z - 183. Calculate l(197).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 3*j**2 - 3. Let m(s) = -2*s**3 + 4*s**2 + s + 4. Let x(p) = 3*m(p) + 4*o(p). What is the second derivative of x(l) wrt l?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126*w**2 + 88 + 4483*w**2 - 88 to a*w**2 + v*w + m and give a.\nAnswer: 4357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 295.5 from 0.19.\nAnswer: -295.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 35*p**2 - 29*p + 62. Calculate j(-34).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -34.1. Let j = 23.1 + o. Let k = 28.00052 - j. What is k rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 172733?\nAnswer: -172733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*y)*((2*y - 1 + 1)*(y - 3*y + 4*y) + 0*y**2 - 8*y**2 + 2*y**2) in the form r + o*y**3 + b*y**2 + h*y and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.3 + -6.27. Let p = 0.03 - y. Which is the closest to 1? (a) 3 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1325250 and 554895.\nAnswer: 860087250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 839 - 586. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**4\/3 - 52*b**3\/3 + 5050*b**2\/3 + 10252*b\/3 + 1717 = 0.\nAnswer: -101, -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 532296336434 + -0.2?\nAnswer: 532296336433.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3086 + 12339 - 72*g**2 - g**2.\nAnswer: -73*g**2 + 15425","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 8*d - 434. Give m(0).\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -257.2 + 258.2. What is the nearest to d in 5, 3, 1\/4, 6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2 + 10. Suppose -2*d - 14 = -2*x + c, -5*x + 2*d = -33. Suppose -5*z - 4*u = -x*u - 26, 4*u = 4*z - 8. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 33 - -1*(-2 + 5)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 22*q + 386. Calculate w(-28).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 226*f - 22609. Calculate b(99).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 113984780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2 - m + 2 - 22*m + 26*m - 51*m + (-m + 2*m + m)*(1 - 1 + 2) to a*m + z and give a.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4 - 4 - o - 9*o**3. Suppose -109*i + 39 = -63 - 7. Determine q(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**4 - 8*u**3 - 38*u**2 + 44*u - 12. Let l(d) = d**3 + d**2 - 2*d + 1. Let f(p) = -b(p) - 12*l(p). What is i in f(i) = 0?\nAnswer: -5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.71 plus 14078.95?\nAnswer: 14079.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-1 - 2 - 4 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43488*h - 43207*h - 9835 = 0 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4713 divided by -3\nAnswer: -1571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 3, f: 5, b: 5, n: 3, v: 2}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4446.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0\/z*z**(-1\/4))**(-46) assuming z is positive.\nAnswer: z**(115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1 = -p, 23 = -5*w + 2*p - 3. Suppose 4*z - 16 + 9 = -s, z - s = 3. Put w, 23, z in ascending order.\nAnswer: w, z, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -3*(-1 - 2). Suppose -22194 = -3*z + 5*d, 0*d = -5*z - 3*d + 36990. Suppose z = q*y + 2750. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -2\/3 (c) -0.07 (d) -1\/5 (e) 0.19 (f) -3.96 (g) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1300)*4)**2 + 3*-2*sqrt(1300).\nAnswer: -60*sqrt(13) + 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 5:58 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -548*j**3 - 172*j**2 + 280*j**3 + 272*j**3 + 9*j**5 wrt j?\nAnswer: 540*j**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 770 - 703. Solve 0 = -j - a + 63 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 2:34 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123 - 77 - 76 - 105?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*sqrt(17) + (sqrt(68)\/sqrt(4))**2 + 1.\nAnswer: -5*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(304)*2 - ((sqrt(304) + sqrt(304) + -1 - sqrt(304)) + -4)) + 0 + (4*sqrt(38)\/sqrt(2) + -1 - 6*(0 + sqrt(475) + sqrt(19))))**2.\nAnswer: -168*sqrt(19) + 14905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 3*p + 5, -4*q + 5*q - 1 = p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/30 and 71\/1935.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1*(3 + (sqrt(2736) - (sqrt(2736) + 0)) + sqrt(2736) + sqrt(2736)*1 + 1))**2 - (0 + (sqrt(2736) + -1)*2*-3)**2).\nAnswer: -1056*sqrt(19) + 87572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4448 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*b - 514*b + 204*b + 166*b.\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**5\/5 - 3*t**4\/5 - t**3 + 3*t**2\/5 + 4*t\/5 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6079*c + 8355*c - 2344*c as h + b*c and give b.\nAnswer: 12090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**12*y\/(y*y*y*y\/y**(-13)))\/((y**(-4\/13)*y)\/y**(-2\/93)))**(-3\/23) assuming y is positive.\nAnswer: y**(33506\/9269)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -5\/23 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/3)\/(5\/15). Let r = 40.75 - 41.75. Which is the second smallest value? (a) 4 (b) r (c) s (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -174*m**4 - 3213441*m**3 + 70606548*m**2 - 125029740*m - 6656400 = 0. Calculate m.\nAnswer: -18490, -3\/58, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.535 - 25.565. Let z = k - -26. Let r = 6.4 - 6. Which is the closest to z? (a) -1 (b) -0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.21 + 0.21. Let y(n) = 25*n**2 + n + 2. Let l be y(-1). Let p = -22 + l. Which is the second biggest value? (a) v (b) -4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 14 (c) 2\/387 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 4*u + 2*u - 10 = -3*v + 7*v - 4, -9*u = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 68*k**5 - 346*k**4 - 154*k**3 + 782*k**2 + 662*k + 140 = 0. What is k?\nAnswer: -1, -1\/2, -7\/17, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -40 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14914 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*u - 114. What is the first derivative of 1705*f**2 - 3417*f**2 + 158 + u*f**3 + 1716*f**2 wrt f?\nAnswer: 87*f**2 + 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*y**3 - 46*y**3 - 2*y**4)*(-y - y + y).\nAnswer: 2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-18)\/20*((-1848)\/(-315))\/4 and 2\/(-3) + (-892)\/480.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -x - x + 768, -5*k + x + 1293 = 0. Suppose -3*t - k = 3*v - 0*v, 2*t = -4*v - 176. What is t rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8)\/t)\/t*t\/t**(-5)*t\/(t\/(t**(-3\/8)*t))*(t*t*t*(((t*t*t**6)\/t*t)\/t)\/t*t)\/t assuming t is positive.\nAnswer: t**(45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5852, 5852, 5854, 5858, 5864, 5872?\nAnswer: 5882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((8\/(-24))\/(6\/(-324)*3))\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 120915\/6 + 4\/18. Let s = 20160 - o. Let a = -6\/3635 + 287261\/58160. Find the common denominator of a and s.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*65956\/26982*((-1224)\/(-22))\/3?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 f when three letters picked without replacement from {v: 3, q: 1, f: 2, l: 3, t: 1, y: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - w**3 - 4289*w + 4193*w - 2*w**4 + w**3 in the form s + z*w**2 + j*w**4 + y*w + o*w**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (712\/(-445))\/((-8)\/(-2860)*13)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7823.224 grams in milligrams?\nAnswer: 7823224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1509.374 minutes in microseconds?\nAnswer: 90562440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/136 (b) 1.6 (c) 4\/5 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 36.1, -0.1 in increasing order.\nAnswer: -5, -0.1, 36.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 77?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488137869.\nAnswer: 3, 54237541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 34. Which is the second biggest value? (a) 0.4 (b) 4\/7 (c) 2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.38 + 22.62. Let y = g - 7. Let c = y - 16.00000018. What is c rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/13 - 40*r**2\/13 - 94*r\/13 + 136\/13 = 0. Calculate r.\nAnswer: -17, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/((q**(-24)*q)\/q)*q*q**(5\/4)*q**(-3)*(q**(-12\/11)\/q)\/q assuming q is positive.\nAnswer: q**(931\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 take away -296.529275652?\nAnswer: 305.529275652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.45 + -0.45. Let z = -13 - -22. Let c = -9.1 + z. Which is bigger: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -180, -304, -438, -588, -760, -960?\n\"Answer: -b**3 + b**2 - 120*b - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j - 8*j)*(2*j + 4*j - j) + 31*j**2 - 53*j**2 - 79*j**2.\nAnswer: -141*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkzk when four letters picked without replacement from zkkzozkkk.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 44 (c) 0 (d) -2\/341\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 10*s - 14*s + 83, 6*f + 38 = -s - 83 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 357 = -62*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {z: 3, p: 2, g: 1, v: 7, h: 1, j: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/6)\/((-6)\/(-27)). Let i = -4 + f. Suppose o - 1 = 3*p, -3*o + 18 = -2*p + i*o. What is the remainder when 1 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -770619150871 take away -1?\nAnswer: -770619150870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by 794?\nAnswer: -36\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*v, 2*k - 5*v = 3 + 2. Solve -3*n + k*b = -b + 1, -4*n + 4*b + 4 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 7:37 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42189? (a) -4\/11 (b) 2 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5418.7041047 - 5423.5041. Let k = -4.81 + 0.01. Let z = k - s. Round z to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 + 52.7. Let b = y - -2.3. Let d = 48\/5 + -10. Is d > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(q*q\/q**7)*q)\/q)\/q**7*(q*q**(-2)\/q*q)\/(q\/q**(-8)) assuming q is positive.\nAnswer: q**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.4 - 0.6. Let t = q - -4.1. Let u = -3.5 - -3. What is the nearest to t in 5, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 2280 = 2670 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/81 + (-2 - (-807)\/351).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = -3*y + 16*a + 6, 2*a = 2*y - 4. Suppose -5*r = -2*r - 9. Solve -3*x + 3*z + r = 0, -4*x = 2*z - y + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 390609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 1628?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2 - 10*t - 39 = 0. Calculate t.\nAnswer: -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 379, 867, 1561, 2467, 3591, 4939?\nAnswer: 6517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i**2 - 6*i + 12. Give s(3).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1544958, -1544622, -1544286, -1543950, -1543614, -1543278?\nAnswer: -1542942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -258593732 divided by 2?\nAnswer: -129296866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/10 + g**3\/10 - g**2\/5.\nAnswer: g**2*(g - 1)*(g + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165 (base 7) to base 8.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/33 or -15960?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2 - 2*x - 1. Let y(q) = q**2 - q + 1. Let l = -292 - -293. What is l*y(t) + z(t)?\nAnswer: -2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -43*y - 3. Let b(x) = -42*x - 4. Let r(g) = 4*b(g) - 5*s(g). Let j be r(-1). Let c = j - -62. What is the remainder when 55 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 25 + 2*c - 2*c + 1 + 0 + 2 + c + c + 0*c + (-1 - 1 + 0)*(4*c - 2*c - 3*c) + 2*c + 2*c - 2*c as o*c + w and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -12. Sort 1, g, 2 in increasing order.\nAnswer: 1, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**2 - 112*y - 683. Let s be l(-9). Which is the third biggest value? (a) 189.1 (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1687)\/(-252) + (14\/(-2) - 0) and -71\/10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5 - 4. Find the third derivative of -4*m**4 - 2*m**2 + 15*m - 15*m + y*m**4 wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 2)*(3 - 1 - 3) + 3 - 5 + 0)*(7 - 5 - 4)*(-2 + 2 + 4*t).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j - 4*h + 33048 = -16*j, -5*h = -4*j - 44064. Let k = 3247 - j. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 98 - 98 - 6*f. Let v(m) = m**2 - m + 1. Let j(i) = -8*i**2 + 6*i - 6. Let z(c) = -j(c) - 6*v(c). Give d(z(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 139*a + 377. Determine j(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 9*v**2 + 11*v - 11. Let a be o(10). Let b be (-10)\/a*(-18)\/(-4). Let n = 10 - 1. Calculate the highest common factor of n and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2 = -1. Let s = 712 - 709. What is the nearest to y in -2, s, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 15 = -3*b, 0 = -336*g + 335*g + 3*b + 19. Let d = 51 + -72. Calculate the remainder when 74 is divided by (112\/d)\/(((-4)\/(-6))\/g).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k**2 + 0 + 9 + 5 + 5*k - 12 as t*k + j*k**2 + n and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*k**2 + 93*k - 93*k + 2*k**2 + k**2 - 2*k**2 + (3*k - k + 0*k)*(-2*k - 2*k + 3*k) + (-2*k + 5*k - k)*(k + 3*k - 3*k).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-14) + 74\/(-14). Suppose 17 = 3*o - 2*o. Let y = f + o. What is the remainder when 34 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - (sqrt(91) + ((-1*sqrt(91) - sqrt(91)) + sqrt(91))*2) - -2*sqrt(91)*2)\/(5*(sqrt(343)*-5 - sqrt(343))).\nAnswer: -sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(5 - 4))\/(50*(-94)\/61100).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15651 and 222.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/22)\/(93\/33)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00897263125 to four decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 18. What is the units digit of 1\/2*q + 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29680131823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.037 - -0.237. Which is the nearest to t? (a) -4 (b) 5 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6914909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 100.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**6\/15 - i**5\/20 - i**4 + 5*i**3\/3 + i**2 - 20. Is u(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**4\/4 - 5*f**3\/3 - 9*f**2\/2 - f - 1. Let z be 1659\/(-158)*(1\/3 + -1). What is the tens digit of i(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + s + 2*s - 45, -5*s - 150 = -5*i. What is the remainder when 25 is divided by ((-65)\/(-15) - 4)*i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4721*l + 4721*l - 9447*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-396)\/462)\/((-2)\/(-7))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 c, and 1 k when three letters picked without replacement from {c: 3, e: 3, k: 1, u: 2, v: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-164)\/(-246)*3\/((-4)\/(12\/15))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**2 + 33674000*o + 56696913800000 = 0.\nAnswer: -3367400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*j - 315 - 278 = 5*j - 17 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -175 - d?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 36 = 6*s. Solve 11*b - 2 = s*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 35, t + q - 44 = -2*t + 32. Let j(v) = -v - 4. Let d be (-37)\/5 - 2\/(-5). Let r be j(d). Solve -t = 4*y - r*w, 0 = -5*y - w - 7 - 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3092)\/(-10) - 10\/50. What is t rounded to the nearest 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 + 0 + 0 + (-3 + 2*d**2 + 3)*(-14*d + 7*d + 23*d) - 37*d**2 - 44*d**2 + 17*d**3 + 79*d**2 - 1.\nAnswer: 51*d**3 - 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1139 + 961. Suppose -4*n = -n - a. Suppose 7*b - 3*b = n. 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: Is 293031631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 12*v - 9. Let z be j(-11). Solve 0 = 3*b + z*u, 0*u - 4 = -b - 2*u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(63)\/sqrt(36) - sqrt(7)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -10*g + 89. Let i be x(5). Suppose -14*w - i*w - 53 = 0. Sort 27, 0, w in ascending order.\nAnswer: w, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.706612us in days?\nAnswer: 0.00000000100354875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15 - 14)\/((-4)\/(-48)). Let u be g\/(-22) - 277452\/(-462). Which is bigger: u or 599?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**2 + 26*x + 6. Let k(b) = -b + 18. Let v(w) = -1. Let y(r) = -k(r) - 5*v(r). Let h be y(-6). Is p(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480*n = -49770 + 10890 for n.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1183860 to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-6 + 1 - (-4 + 16))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 97231856 divided by -21904\nAnswer: -4439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.07, 2\/7, -5\/4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 13*g**2 - 34*g. Give u(-8).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 5:54 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 79894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0. Let q = -2.6522 + 2.6622. What is the second biggest value in -4, s, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1177811177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 16 + -4 + (98 - 25) + 0\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36504685 divided by 16.\nAnswer: -36504685\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 57118009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21895)\/(-8758)*54*1\/5.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -24*s - 100. Give y(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-3) - 0 - 1. Let z(o) = -o**3 - 5*o**2 + 5*o - 8. Let w be z(-6). Let k be w\/(-2)*1*-6. Sort k, 4, l in decreasing order.\nAnswer: 4, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/168 and 5\/(-2)*((-1972)\/360 + 5)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 5, -16, -8 in ascending order.\nAnswer: -24, -16, -8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, 36, 144, 314, 552, 864, 1256, 1734?\nAnswer: 2304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -56.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y - 3 + 3 - 10*y. Let j(i) = -7*i**2. Determine j(z(q)).\nAnswer: -252*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 722841*y**3 + 7*y**2 + 1418*y + 190023 wrt y.\nAnswer: 4337046*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28892 and 2796?\nAnswer: 86676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/21, -52, -5, -525 in increasing order.\nAnswer: -525, -52, -5, -4\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m + 6*m - 84. What is the tens digit of 1\/3 - 1960\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 63*x - 109. Let m be (1\/(-2)*2)\/((-2)\/32). What is the tens digit of l(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3520079771?\nAnswer: 13, 59, 4589413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/7)\/(9\/63). Find the common denominator of -71\/10 and (a\/7)\/((-6)\/(-39)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -12342?\nAnswer: 12341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26640?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1848\/264*(-2)\/(-14)*7\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1363 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 947.13 - 922. Let j = 26 - m. Let s = -0.87 + j. What is the closest to s in 0.3, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -5*l + x - 7, 4*x + 6 = 3*l. Let r be (1*8 - -2) + l. Let s = r + 2. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 20. Suppose -2*j - 30 = 3*j + 5*c, 0 = -3*j + 4*c - 46. Calculate the remainder when 76 is divided by q(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*z + 3. Factor 0*r**2 - 5*r**3 + r**5 - r**2 - 3*r**4 + 8*r**z.\nAnswer: r**2*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39629.35 weeks to days.\nAnswer: 277405.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7563, 15015, 22383, 29667, 36867, 43983, 51015?\nAnswer: 57963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4155 + 4188. What is the greatest common factor of 29 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 3126?\nAnswer: 50016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 1288*w + 3421450.\nAnswer: -2*(w - 1669)*(w + 1025)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3\/3 + 55*p**2 + 130*p\/3 - 320.\nAnswer: 5*(p - 2)*(p + 3)*(p + 32)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 2\/45*o**3 + 1\/15*o**2 + 0*o - 5. Factor j(l).\nAnswer: 2*l*(l + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/2*r**2 - 57 + 51\/2*r = 0.\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -44?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 11 = 2*i, -5*s = -2*i + 29 - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4602*v. Let z be b(-1). Let u = z - 2293. Suppose -3*i + 8*i - 2*w = u, 4*w = 3*i - 1377. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n - 189 - 363 = 0. Suppose 0 = 134*x - 128*x - n. Solve -2*s - x*d = -6, -2*d - 5 = -7*d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1512 + 2186. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a**2 + 4290*a - 9*a**2 - 4*a**2 - 4068*a + 2*a**2 in the form q*a + y*a**2 + o and give q.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (40\/(-6))\/5*(7 + -5)*-12. Solve -7*r + 2*r = -2*o - p, 4*r + 4*o - 20 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -661*d + 666*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 5. Let z(c) = -1. Let j(m) = l(m) - 5*z(m). Let f(d) = 4*d. Calculate f(j(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**4\/3 - 1536*w**3 - 405504*w**2 + 1141899264*w + 678288162816 = 0.\nAnswer: -1056, 864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 738015989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -683, -666, -629, -566, -471, -338, -161?\n\"Answer: m**3 + 4*m**2 - 2*m - 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbooobbboo. Give prob of picking 1 b and 2 o.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**3\/6 + 2*h**2. Suppose 6*c + 5 + 7 = 0. Let g(j) = j - 2. What is c*g(b) + 3*k(b)?\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l**2. Let y(v) be the third derivative of 5*v**5\/6 - 7*v**3\/6 + v**2 - 1321*v. Calculate y(n(s)).\nAnswer: 800*s**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 14*r**2. Let g(o) = -43*o**2. Calculate s(g(k)).\nAnswer: 25886*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*o**2 + o**2 + 17*o**2)*(31 + 32 - 25) + (-2*o**2 - 3*o**2 + 3*o**2)*(2 + 1 - 4).\nAnswer: 1294*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwrw when four letters picked without replacement from wxwwwrrwrwr?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 - -73.24. Is -1\/2 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-760)\/150*(-66)\/4 - (-423)\/(-705).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1348, -1368, -1402, -1456, -1536, -1648, -1798?\nAnswer: -1992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - s - 35. Suppose -3*b + 117 - 20 = 5*n, -2*n = 5*b - s. Let j be 32 - 5\/(n\/(-12)). Calculate the highest common divisor of j and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6820 and 1921876.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-11 - (-6 + 0)) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1202, -4831, -10886, -19361, -30250, -43547?\nAnswer: -59246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 + 9367 + 1010*h**3 - 1011*h**3 - 8900.\nAnswer: -h**3 - 3*h**2 + 467","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 14*n**2 - 3*n - 11. Suppose 32*p + 62 = -3*k + 37*p, -k - 30 = -4*p. What is a(k)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**2*z - 2*i*z + 56*z wrt i.\nAnswer: -2*i*z - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1179215 minus 261578?\nAnswer: -261578.1179215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 0, -11, -46, -111, -212, -355, -546?\nAnswer: -791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26, -31, -36, -41, -46, -51?\n\"Answer: -5*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 1, i: 1, q: 2}. Give prob of sequence jq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24627 + -24627. Let c = -6 - -5.6. What is the nearest to -4 in -0.1, c, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*r**3 - 5 - 18*r**3 + 2*r**2 - 21*r**3 - 25*r**3 - 25*r**3 - 8*r**4 in the form a*r**4 + o*r**2 + j*r + s + m*r**3 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 730, 600, 468, 334, 198, 60, -80?\n\"Answer: -o**2 - 127*o + 858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 312 (base 4) to base 8\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 956.2314 nanometers to centimeters.\nAnswer: 0.00009562314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t - 7. Let j be s(-2). Suppose 0 = -j*u + 4*m + 3690, -755 - 2953 = -3*u - 2*m. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-75)\/14)\/(-3) - 2. Let t = f - 19\/42. Let z(v) = 3*v + 13. Let m be z(-5). Which is greater: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3235167 rounded to the nearest 1000?\nAnswer: -3235000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 3*f**2 - 3*f - 4. Let q = -231 - -228. What is j(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19012107 to the power of 1\/2, to the nearest integer?\nAnswer: 4360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42308897737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/h**14)\/(((h\/h**(-8))\/h)\/h**7) assuming h is positive.\nAnswer: h**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*f - 3*x, 3*f + 5*x + 11 + 15 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 - 10*h**2 - 77*h - 122. What is z(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20932623?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 0 + (1 - -2). Suppose m*h + 12 = v, 2*v - 34 = -3*v + 2*h. What is the third derivative of -4*n**5 + n**v + n**2 + 4*n**5 wrt n?\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 7*z**2 - 10*z + 2. Let p be 10\/((4 - 7) + (-1 - -2)). Let d be q(p). Sort -9, d, -5.\nAnswer: -9, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3103 - -51104?\nAnswer: 54211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/5 + 253\/55. Solve 2*l = b*l - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + -1 + -4*((sqrt(325)*-2 + 2 - sqrt(325) - sqrt(325))*6)**2.\nAnswer: -749370 + 11520*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 11 = -3*m - t, -7 = -2*m + t. Suppose -5*q = -9 - 6. What is the second derivative of -20*r**4 - 16*r - m*r - q*r**4 - 8*r wrt r?\nAnswer: -276*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.77 - 22.83. Let w = -19 - d. Round w to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.158 - -648304110.831.\nAnswer: 648304110.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 24. Let o be r*(2 + -1) - -1. Find the common denominator of -58\/5 and 84\/15 - 12\/o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - c**2 - 3*c + 2. Suppose 3*k - 12 = 7*k. Let p(r) = -r - 1. Let w be p(k). Let v be q(w). Solve t - v = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 6*h - 3. Let l be s(-6). Let a = 3 + l. Suppose a = -3*y + 2*y + 9. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 600850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4482*s + s**2 + 4482*s. Let p(r) = 6*r**2. What is h(p(m))?\nAnswer: 36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d + 19. Let c be y(-6). Let w(t) = 7*t. Let l be w(c). Suppose -4*x + l*x = -45. Is -17 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, x: 2}. Give prob of sequence ttx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -19*m + 9. Give z(5).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - 1124*y + 154392. Calculate q(239).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3 - 14\/(-6). Suppose -h*u = -5*u - 3. Is (-1)\/((-2)\/(-30)*u) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 8 + 14 = 0. Let j(h) = 2*h - 3. Let y(u) = u - 3. Let n(i) = 2*j(i) - 3*y(i). Let k(o) = -5*o - 16. Calculate b*n(m) + 2*k(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -129, -15, -54 in decreasing order.\nAnswer: -15, -54, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a28 (base 12) to base 6.\nAnswer: 22452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 - 1 - (-91 + (17 - -48))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/6 + (-1)\/3. Suppose n - 2 = m*y, -6*n = -n - 2*y - 26. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2004)\/7515)\/(110\/(-33)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 40*f + 220. Let a be p(-5). Let u(n) = -12*n + 246. Let i be u(a). Is 17 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 12:53 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 24*l**2 + 65*l - 22. Let v be c(21). Solve 10*b + v = 6*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 3:42 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 5*d + 0*d)*(-2*d**3 + 0*d**3 + 0*d**3).\nAnswer: -10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 + j**2 + 3*j**2 + 172*j**3 - 4*j**2 as z*j**2 + o*j + b + i*j**3 and give i.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2 > -27954?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 13 = 3*j - 2*y, 0 = 4*j - y - 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlxxwxxxwllww. What is prob of picking 2 x and 2 w?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 70529 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2. Let i = 0 - -2. Let j(d) = 6*d**i + 20*d - 20*d. Determine j(h(n)).\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -408 - 202. What are the prime factors of z?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19332, -19000, -18520, -17892, -17116, -16192?\n\"Answer: 74*y**2 + 110*y - 19516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 11720 = -5*b - 4*r, 4688 = 2*b + r. What are the prime factors of b?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 130928002.9297022.\nAnswer: 130928003.0297022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1732.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (-36)\/14) + 6\/14. Suppose 10410 = -z*j + 5*j. Suppose -3*l = -9*l + j. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 592765713?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -330 divided by -4\nAnswer: 165\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 7*v**5\/60 + 5*v**3\/6 + 10*v**2. Let k(l) = -3*l**2 - 2. Let h(q) = 6*f(q) + 15*k(q). Let t(g) = 3*g. What is h(t(c))?\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.27795 * -0.205.\nAnswer: 0.05697975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - 4.3. What is the third smallest value in c, 2\/7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**2 + 3*p + 1. Let d = -561 + 559. Calculate u(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 85 - 75 = 0. Let y = m - 60. Let r = 54 + y. Calculate the greatest common divisor of r and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 228 - 1139\/5. Let f(k) be the second derivative of 4*k + 0*k**2 - 2\/5*k**5 + y*k**6 + 1\/6*k**4 + 0 + 0*k**3. Factor f(h).\nAnswer: 2*h**2*(h - 1)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**4\/5 - 7782*s**3\/5 - 2519418*s**2\/5 + 2527206*s\/5.\nAnswer: -6*s*(s - 1)*(s + 649)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0. Let k = 476 + -475.6. Which is the nearest to 1? (a) -15 (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/26*20\/(-6)*-1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 6 + -6 - ((-6 - 10) + 2)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 24 = 4*q, -67*o + 5*q = -69*o - 30. Solve -2*y - 15 = -5*v + 12, o = -5*y - 3*v - 21 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 64\/(-10) + 7.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*a + 4 - 4 = -573*a. Factor a - 5\/4*n + 0*n**2 + 5\/4*n**3.\nAnswer: 5*n*(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580 a factor of 47779306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16238 or 15876?\nAnswer: 16238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10408*n - 29*n**3 + 10408*n + 13*n**3.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*g - 2*l + 3*l, -3*g = 2*l + 2. Let b(r) = 1389*r**2 + r. Let f be b(g). Suppose 14*h + 1120 = f. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35520 is divided by 71?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**5\/30 + 2*v**4\/3 - 16*v**3\/3 - 7*v**2\/2 - 3. Let o(m) be the second derivative of g(m). Find y such that o(y) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(-y**3 + y**3 + 2*y**3) - 28*y**3 + 53*y**3 - 2 - 24*y**3.\nAnswer: -y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4 = -a. Let w = 14 - 15. What is the smallest value in w, -0.5, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3947041*y**3 - 1206*y**2 - 391 wrt y?\nAnswer: 23682246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 450170 rounded to the nearest ten thousand?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -5.3, 1\/5, 10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(2*sqrt(112)).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 6*g - 4*t, -3*g = -5*t + 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-27)*6\/4 + 248\/(-102).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j**2 - j)*(7*j**2 - 57 + 57 + (0 + 2 - 4)*(2*j**2 - 2*j**2 + 2*j**2)).\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from {b: 1, i: 1, y: 2, a: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13073 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 233175177*j**3 - 2*j + 10963342 wrt j.\nAnswer: 1399051062*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1003226 and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/28*(-2)\/3. Let v(k) = -k**3 + 7*k**2 - 6*k - 10. Let n be v(6). What is the third biggest value in 3, n, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1076547.0525477 + -1076547. Let h = f - 0.0525. Round h to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5 = -3*i, -i = 21 - 26. What is the closest to 1\/13 in z, -0.4, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - -827. What are the prime factors of w?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4585\/3 - -9209\/6. Let k(b) be the second derivative of -3*b - 4 + 0*b**3 + 0*b**4 + p*b**2 + 0*b**5 - 13\/10*b**6. Differentiate k(z) with respect to z.\nAnswer: -156*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*l - 5. Let h be (l\/(-6))\/(0 + 4). Let x = 4 + -3. Which is smaller: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*a = 252 + 96 - 76. Solve -3*z + 22 = -a*m, 26 = -5*m - 2*z + 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33240, -66484, -99728, -132972, -166216, -199460?\n\"Answer: -33244*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*-1639.9433.\nAnswer: 98.396598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2108 + 2115. Solve 14 - 21 = t*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -6) + 5 + -2 + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - y + 17112 = 0, 0*c - 5*c = -5*y + 42780. Let s = c - -15949. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132.4253 years in centuries?\nAnswer: 1.324253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137815686*h**5 - 37268217*h**2 wrt h.\nAnswer: -8268941160*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 + 5*x**2 + 2*x - 3. Calculate b(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - -1. Solve -5*i - 18 - t = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 1257 = 2*x, 0*y - 3*x = -5*y + 1277. Let w = y - 181. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.82 and 629749.\nAnswer: -516394.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1606\/7, 0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 2*l**2 - l + 1. Let a(d) = d**3 - 153*d**2 - 606*d + 14006. Let z(y) = -a(y) + 6*m(y). Factor z(o).\nAnswer: 5*(o - 7)*(o + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {c: 1, m: 1, z: 1, h: 1, d: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-153)*(-4 + 1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/15 + (-1 - (-10)\/12).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 18*f = -17*f + 1, -2*a = 3*f - 17 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 15551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 2*d**2 + d - 4. Let u be l(-3). Suppose v = -u*v. Sort -3, v, 5.\nAnswer: -3, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 551 + -521. Solve 5*v + 3*l - r = -2*l, -v = 4*l - 21 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 12. Let d be x(0). Suppose 3*o = d - 0. Suppose 145 = 3*i + o. What is the common denominator of i and -17\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x. Let g(r) = 17*r - 136. Let z(b) = 1. Let i(n) = -3*g(n) - 408*z(n). What is s(i(w))?\nAnswer: 102*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 + 0*k**3 + k**3 + (1 - 4 + 2)*(-3*k**3 - 9*k + 9*k) + 244*k**3 + 482*k**3 + 505*k**3 + 396*k**3.\nAnswer: 1628*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 s, and 1 z when four letters picked without replacement from {h: 1, k: 2, l: 1, j: 2, z: 6, s: 5}?\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -11000001001000?\nAnswer: -11000001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30076031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.21 plus -4?\nAnswer: 60.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 47 (b) -2 (c) 27 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7*g**2 + 2*g - 2. Let t(q) = -90*q**2 + 27*q - 27. Let n(s) = -2*t(s) + 27*x(s). Let y(z) = -z. What is n(y(c))?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/16*4\/21?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**3 + 217*g**2 - 2139*g + 160. What is x(15)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**21\/(m*m**(-1\/7))*m**(-21)\/m**(-14))**(-25) assuming m is positive.\nAnswer: m**(-2300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 - 44*m + 1804. List the prime factors of i(27).\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3162413.1 to the nearest one hundred.\nAnswer: -3162400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8651*g + 8704*g = -636 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + ((1*sqrt(143) - sqrt(143))*1 - sqrt(143) - sqrt(143)))\/((sqrt(1584) - sqrt(1584)*1) + sqrt(1584)).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4898761 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1395248.\nAnswer: 2, 29, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27194\/11 + 2470. What is the fourth smallest value in -1, 2, h, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/7 - 334766*z**2\/7 = 0. What is z?\nAnswer: 0, 167383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -6*b + 46. Suppose 3*h = -3*o - 2*h + 16, o = -3*h + 4. Let g be y(o). Find the third derivative of -4*s**4 + s**g - 273*s**2 + 277*s**2 wrt s.\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 22 + (17 + 2 - 23)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*d + 12*d + 10 = 4*b - 9*d, 2*b = -d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s + 2*s**2)*(0*s + 2*s + 0*s)*(4*s**2 + s - s).\nAnswer: 16*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**5\/30 + y**4\/12 + 7*y**2. Let q be g(2). Suppose 21 = -5*u + 3*l, 5*u - 2*l + 5 = -7*l. Is q at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 38316.\nAnswer: 38316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y + 281 = 148 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -5*m**3\/3 - 10*m. Let r be 28\/16 + (-2)\/(-8). Let u(j) = r*j - 13 + 13. What is u(t(q))?\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2ba2 (base 13) in base 15?\nAnswer: -1d5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120540*h - 186407 wrt h.\nAnswer: 120540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 216\/23 bigger than 46535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 872 = -613. Calculate the remainder when i is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 2\/(-9) - (80 + -80)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 17 - 7 - 35*v**2 - 19 - 27*v**2 to the form o*v + r + i*v**2 and give i.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -663\/5 - -133. What is the second smallest value in 0, o, -1\/3, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 + 8*k + 1263. Calculate d(-23).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43820.6 plus -0.4?\nAnswer: 43820.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -47. Solve 2*p - 15 = -5*q, -q + 35 = -b*p + 2*q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l - 82. Let p be a(-14). Does 5\/9 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -136 - 5?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53535 - -0.4.\nAnswer: -53534.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -212 - -180. What is the smallest value in -1, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 - 135*o - 998. What is n(-8)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -12*p**2 - 104*p - 215. Let u be l(-4). Put 6, 10, u in ascending order.\nAnswer: 6, u, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244 (base 7) to base 12.\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139490000 rounded to the nearest 1000000?\nAnswer: 139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(-1 + 4 + (-204)\/30). Solve -8*x - 135 = g*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -7\/5 (c) 0.1 (d) 29 (e) 1\/24 (f) -39\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 725103384295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 2 (c) -5\/13 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**3 - 49*h**2 + 39*h - 289. Determine c(12).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -6) + (0 - -4 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -8*b - 25, 2*j + 2*b = 26. Let d(y) = -6 - 1 + 1 + 4 + j*y. Let u(a) = -a**2. Give u(d(s)).\nAnswer: -324*s**2 + 72*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12a0 (base 13) to base 8.\nAnswer: 5151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3871635 by -258109.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207500 divided by 41500.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 6:10 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -28*u - 25. What is the hundreds digit of m(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 199*p**2 + 599*p + 1732. Determine y(-196).\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 12*i - 11. Let k(m) = -m - 1. Let c(q) = 4*k(q) - l(q). What are the prime factors of c(7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*g = -45*g + 2054. Suppose -589 = -8*o + g. What are the prime factors of o?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-5*b - 29*b + 73*b)*(2 + 1 - 2) as p*b + c and give p.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4173099.95 rounded to the nearest 100?\nAnswer: 4173100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 493928?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 7 - 3\/2*z**2 + 5\/2*z + 1\/6*z**3. Find s such that v(s) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -2 - ((-12 - -8 - 9) + 5)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9106578*x**3 + 5816550*x.\nAnswer: -54639468*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -125.271016666541 - 0.3\nAnswer: -125.571016666541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -344 (base 15) to base 9\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - 1. Let q = -17\/21 + 8\/7. Which is the nearest to q? (a) 0.1 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-3542)*28*16\/(-320)\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9 - -10)*(-5403)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -179920*k + 325304?\nAnswer: -179920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (28 - (-2 + 1))*(-2 - -3). Let c = 3116 - 3114. Put v, c, -3, 0 in decreasing order.\nAnswer: v, c, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299*j**2 + 102*j**2 + 271*j**2 - 172*j**2.\nAnswer: 500*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, e: 7}. Give prob of picking 3 e.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = l + l + w, 0 = -l + 5*w - 23. Suppose 4*z - j = -61, -z = 4*j + 15 - 4. Let f = 20 + z. Solve t = -2*s - s + 1, -2*t = -f*s - l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 194, 494, 916, 1454, 2102, 2854, 3704?\nAnswer: 4646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 13 + 58 = 5*t, 0 = -8*t + 3*h + 17 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/2)\/((-1)\/(-2)). Let c = -1 - w. Let o = 2 + c. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 430085227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 29*x**4\/4 + 2*x + 4. Let t(m) = 8*m. Calculate t(r(d)).\nAnswer: 696*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 1\/4, -1\/19, -131, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 1, 0.4, -0.06, -3\/8.\nAnswer: -3\/8, -0.06, 0.4, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 - 133 = -2*r + 4*c, 4*r - c - 582 = 0. What are the prime factors of r?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1\/2, 2\/639, 4, 21903?\nAnswer: 2\/639","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/76 and -79\/38?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110012 - 120?\nAnswer: -1110202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -147, -2.5, 1\/5?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24886 and 3222.\nAnswer: 80182692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 g when four letters picked without replacement from agagooaoogg.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -103483*n - 2690573. Calculate r(-26).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kr when two letters picked without replacement from kkararkkkkkkkk?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven eighths of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1892*z**5 + 1539*z**2 + z + 2.\nAnswer: -113520*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2131*z**2 - 6*z + 3. Let x(v) = -3032414*v**2 - 8536*v + 4268. What is 4268*k(b) - 3*x(b)?\nAnswer: 2134*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p - 8779 = 6437. Let w = 643 + p. What is the highest common divisor of w and 66?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 15. What is the least common multiple of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akma when four letters picked without replacement from {a: 4, p: 8, m: 4, k: 4}?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-3) + 1*80\/(-15). Let v be i\/15*-2*3. Suppose -w = -2*g - v*w + 1126, 2815 = 5*g + 2*w. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 39?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3730 rounded to the nearest one hundred?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*b - 25 = 0, m - 5*b - 30 = -0*m. Let w = 699 - 697. Let a be -1*1*(-5 + 2). Put a, m, w in ascending order.\nAnswer: w, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*q - 17 - 7 = 0, 0 = 2*f - 4*q. Let x be 6\/(13 + -4 + f). Factor -18\/5*t**3 + 33\/5*t**x - 17\/5*t + 2\/5.\nAnswer: -(t - 1)*(3*t - 2)*(6*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7405173492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017573 rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 5*g**4\/4 - 10*g**3 + 45*g**2\/2 - 30. Factor k(u).\nAnswer: 5*u*(u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110012 (base 3) to base 13.\nAnswer: 1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = b + l, -b = 5*l. Suppose -p - 4*g + 28 = b, 0*g - 3*g - 94 = -5*p. Calculate the least common multiple of p and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, d: 4, j: 2}. What is prob of picking 1 d and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.78 at most 698487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 2 - (5 + -5 + 10 - -23).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -112, -162, -210, -256, -300, -342?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71.2 + 66. What is the second biggest value in m, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghhg when four letters picked without replacement from {h: 2, z: 2, g: 9}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3515*s + 1752*s = -1741*s + 242 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(3564) + 2*sqrt(3564) + 2 + sqrt(3564) - (sqrt(3564) + -4 + 0 + sqrt(3564))) + -2 + 0.\nAnswer: 10 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 - 5) + (-4)\/(-2). Let s(v) = v**3 - 5*v**2 + 2*v - 5. Let m be s(u). Solve y + 21 = m*k, k = y - 4*y + 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 12*s + 197. What is c(-57)?\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 5*u**8\/56 - u**4\/12 + 4*u. Find the third derivative of v(c) wrt c.\nAnswer: 600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l - 18. Let s be y(-10). What is the tens digit of s\/4 - 3423\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(153) + 2) + 3 + -3 - 4*((sqrt(153) - (sqrt(153) + -3)) + sqrt(153) + sqrt(153))*4*-5)**2.\nAnswer: 220428*sqrt(17) + 3826053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1049, -3518, -7641, -13418?\n\"Answer: -827*d**2 + 12*d - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 308 = p, -o = -2*o - 5*p + 77. Let t = o - -51. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1491 + 1749 = -50*s - 22*s for s.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -132*((-1769)\/(-348))\/(-61)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*m + 16 = 0, -2*r + 5 = 3*r + 5*m. Let j = r + -1. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178 divided by -214.\nAnswer: 89\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -11*g**7\/70 + 9*g**6\/40 - 2317*g**5\/30 + 88*g**2 + 2. Find the third derivative of b(n) wrt n.\nAnswer: -792*n + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -798 + 922. Calculate the greatest common factor of 10478 and v.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 6*g + 36 - 6*g - 36.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 17*c - 303. Let v be k(18). Let i(n) be the second derivative of n**2 + 0 + n**v - 7\/40*n**5 - 4*n - 3\/8*n**4. Determine h, given that i(h) = 0.\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -77 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 6*l + 48800. Round l to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3034 divide 439123440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539)*-1*2 - -5*(sqrt(176) + sqrt(176) + (-4 + sqrt(176) + sqrt(176) - sqrt(176) - sqrt(176))**2 + sqrt(176)).\nAnswer: 80 + 46*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/74 - -169\/518. Which is the nearest to -1? (a) n (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y. Let t(n) = -1. Let h(z) = r(z) + 2*t(z). Let s be h(3). Let u = 10 - s. Calculate the highest common divisor of 2 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*t + 20. Calculate the remainder when 60 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j - 14 = -2*l, 0 = j - 1. Let h(k) = -k**3 + 22*k**2 + 21*k + 48. Let v be h(23). Suppose 3*a + f - 77 = l*f, 66 = v*a + f. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5635?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000 (base 2) in base 9?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35305.\nAnswer: 5, 23, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 30*v - 172. Suppose -10*b + 262 - 202 = 0. Let d be f(b). What is the highest common factor of d and 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 396923306 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5481 and 10332.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 2*a + 35. Let u = a - 4. Let k(i) = -2*i**2 - 2*i - 5. Let t(c) = -2*c**2 - 2*c - 6. Let j = -12 - -8. Give j*k(x) + u*t(x).\nAnswer: 2*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (645\/(-10))\/(1\/(-2)). Suppose 4*c - w = -13. Let s = -14728\/5 + 2955. What is the common denominator of c and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.8 + 0.2. Which is the third smallest value? (a) -2 (b) r (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**43*c*c**(-4\/11)*(c**9\/c)\/(c*c**(-1)) assuming c is positive.\nAnswer: c**(568\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.305 - -268.905. Let d = -86.7 + a. Round d to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1053)*3 + (-2 + sqrt(1053))*6)**2.\nAnswer: -4536*sqrt(13) + 464517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 126\/344 - 224\/896. What is the closest to j in -0.5, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z = -13*z - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from cugugugg?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1\/5)\/t*t)\/t)\/t**(-2))**(1\/15)*t\/((t*t**(-1))\/t)*t**(-2\/17)\/t*t\/(t*t\/t**(3\/2)*t)*t*t*t\/t**0 assuming t is positive.\nAnswer: t**(8761\/2550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29029.\nAnswer: 7, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -11. Let w be (-390)\/4*h\/(-3). Suppose -w = -5*y - 5. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -657\/52 + 49\/26. Let u = l - -309\/28. Is u != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, v: 3, q: 1, z: 3, h: 1, a: 1}. Give prob of sequence qzza.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 43 = 3*f, -4*v - 26 = -2*f - 2*v. Let n be 7\/f*(-1)\/(-2). Which is the closest to 1? (a) n (b) -1\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 35, -8 in descending order.\nAnswer: 35, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - y)*((-1 + 0 + 2)*(-2*y**2 + y**3 + 2*y**2) - 8*y**3 + 7*y**2 - 7*y**2 - y**3 + 0 + 0 + (0*y**2 + 6*y**2 - 3*y**2)*(-3*y + 2*y - y)).\nAnswer: 14*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -441 + 849. Is y a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c\/c**4*c*c**(-5\/3)\/c*c*c*c*(c\/(c**7*c))\/(c\/c**(-4)) assuming c is positive.\nAnswer: c**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -73. What are the prime factors of b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**4\/12 - 2*s**3\/3 - 2*s**2. Let w be g(-5). Suppose 2*l = 5*l - w. Solve l = -3*t + 4*b, -b - b - 12 = 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -31?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 - 2*m - 12. Let f(l) = l**2 - l + 1. Let b(o) = 3*f(o) + u(o). Let q be b(7). Solve q*j + 12 = -3*w + 5*w, 3*j + 20 = -2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7968180 or -7968181?\nAnswer: -7968180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 5*x**2 + 14*x + 47. What is the lowest common multiple of g(-4) and 108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3103 (base 4) to base 12\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-4) - 30\/120. Factor 1\/4*c**4 - c**3 + 3\/2*c**p + 1\/4 - c.\nAnswer: (c - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19541595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.229 + 1.771. Let t = 0.1 - 0. What is the closest to t in c, 3, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 - 0.3. Let z = 3.787 + 0.013. Let p = 3.4 - z. Which is the third biggest value? (a) p (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2880) + (1 + 2 + sqrt(2880) - sqrt(2880)))**2 - (sqrt(2880) + sqrt(2880)*1*4 + 4 + sqrt(2880) + -1).\nAnswer: 720*sqrt(5) + 17331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**5\/20 + 11*t**4\/24 + 9*t**2\/2 + t. Let r(n) be the first derivative of l(n). What is the second derivative of r(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i + 1. Let w be ((-2)\/6)\/((-4)\/(-12)). Let n(g) = 1. Determine w*n(v) + b(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -8. Suppose 4*l - v*l = 5. Solve -5*m + 5*k + 30 = 0, -k - k + 2 = l*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -416 = 3*s - 7*s. Let f = s + 87. Solve f*z - 2*z**2 - 191*z = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 8)\/(2178\/(-594))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (440\/35)\/(-11)*7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 662 + -590. Calculate the remainder when o is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 4) + 10 + -4 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 272119\/1146 - -646\/191. Let d = x + -7247\/30. Find the common denominator of d and -3 - ((-49)\/(-9))\/(-7).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94757 is divided by 93415?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -104*r + 9679. Calculate q(93).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18693 = 2*o - 3677. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, z: 1}. What is prob of sequence cz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -13. Find the second derivative of a + x - 6 + 2*x**4 wrt x.\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.33 - 0.3. Let n = -72\/107 - -8299\/9630. Let u = n + 1\/30. What is the third smallest value in r, u, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.075 and 0.09.\nAnswer: 0.00675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 10*s + 220. Let j = s - 38. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*c + 15. Suppose c*s = -p + 6, -p + 0 = -4*s + 3. What is the highest common divisor of 5 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 525 = -316558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 0.55 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(272*w + 31 - 31)*(-4*w**3 + 3*w**3 - w**3).\nAnswer: 1088*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-2\/5))**14)**22 assuming s is positive.\nAnswer: s**(2464\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 103\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -17252503, 0 in increasing order.\nAnswer: -17252503, -15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94547 + -26537. Suppose 5*n + 2*u + 23766 = 363756, -n = -2*u - i. Round n to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16797\/8 + 2104. What is the common denominator of (-174)\/42 + 4 - (-398)\/42 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 164.5 * -4.\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 + 0)\/(-3 + 4). Let n = 14 - m. Factor -r + 2*r**3 - 3*r**2 + 3*r + 7*r**n.\nAnswer: 2*r*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**5 + 3925*o**4 - 768305*o**3 - 780105*o**2 + 1544490*o = 0. Calculate o.\nAnswer: -2, 0, 1, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74 + 70. Sort -344, 2, h in descending order.\nAnswer: 2, h, -344","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 6*n + 5. Give q(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -56 (b) 1 (c) -0.04 (d) -10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.043724 + -5.956276. Let x = -17 - -25. Let u = x + -12. Which is the biggest value? (a) m (b) u (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4706473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4*c**(-2\/5)\/c)**(-41)\/((c**(1\/3))**(-21)\/(c**(1\/4)*c*c*c*c*(c\/c**(-3))\/c*c*c*c)) assuming c is positive.\nAnswer: c**(-1787\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 3*z - l = -4, 2*l - 8 = 5*z. Suppose z*d - 21 = -d + p, 0 = 2*d + 5*p - 49. What is the remainder when 41 is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/27*-6 + 12. Solve w + 2 = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (-2 + (sqrt(128) + -2*sqrt(128) + -1)**2 - (-1 + sqrt(128) + 0 - (sqrt(128) + (sqrt(128) + -1)**2*-3 + sqrt(128))))).\nAnswer: -1305 + 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4b8 (base 16) to base 5\nAnswer: -14313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1581 (base 15) to base 13.\nAnswer: -2146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-4)*y**2 assuming y is positive.\nAnswer: y**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 10 = 2*c. Let h be -42 + ((-12)\/3 - -3). Let r = -13 - h. What is the greatest common factor of c and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58 - -40) + 0 + 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 5*x - 2*x + (-2 + 1 - 2)*(429 + 27*x - 429))*(2 + 3 - 4)*(-4 + 4 - 2) to w*x + c and give w.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 9. Calculate the remainder when 15\/((-150)\/20) + 17 is divided by v(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 127*b**2*p + 352*b**2 with respect to p.\nAnswer: 127*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2220)\/1110)\/((-1)\/(9\/(-30)))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n = 38*n - 22. Solve -5*f + n = 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6579860 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2866*d*p**3 + p**3 + 328*p - 4 wrt d?\nAnswer: -2866*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 899841912 to the nearest integer?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/126 or -116948?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/2935 or 0?\nAnswer: -8\/2935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/233 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*o + 135. What is the remainder when o is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 + 2*p - 24. Let h be b(-5). What is the units digit of (3*1 - h\/(-14))*-73?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 222.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 532?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)*2)\/sqrt(5) + (4*sqrt(15)\/sqrt(5))**2.\nAnswer: 2*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: What are the prime factors of 570772182?\nAnswer: 2, 3, 337, 282281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.6047cm to nanometers.\nAnswer: 396047000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -0.42. What is the nearest to -3 in o, 4, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/3 in -2\/3403, -2\/5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h - 14*h - 8*h - 8*h as j*h + n and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*q = -589, 0 = -3*o + 4*o + 3*q - 114. Suppose p = 4*p - o. Let y = 23 + p. List the prime factors of y.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 8*h**2 - 22*h + 133. Calculate k(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 10*d**2 + 14*d - 8. Calculate the smallest common multiple of y(-8) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14141410.0000145 + 14141421. Let h = w - 11. What is h rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119796 by -19966.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*15800129.\nAnswer: -316002580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than -281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1031 + -103?\nAnswer: -1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*(-2 + sqrt(1573) + sqrt(1573) + -5 + sqrt(1573)*-1 + -2)*4)**2.\nAnswer: -2851200*sqrt(13) + 23817600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5859557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2374 is divided by 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16263)\/(-278))\/((-1)\/((-4)\/6)). Let a(j) = 3*j - 5. Let h be a(6). What is the highest common divisor of z and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 6:36 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1110 - -1112. Which is the third smallest value? (a) 8 (b) j (c) 3 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1904*t**2 + 193. Let x(i) = -9524*i**2 - 963. Let s(o) = -2*x(o) - 11*z(o). What is the derivative of s(p) wrt p?\nAnswer: -3792*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*n = -0*f - 24, 2*n - 52 = -5*f. Suppose -f = 4*y + 6, 2*x + 4*y = 376. What is x rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192952467?\nAnswer: 3, 19, 149, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -327.0517 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143096?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.032, -1, 2\/5, -4 in decreasing order.\nAnswer: 2\/5, 0.032, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/10 + -1)\/((-720)\/400).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 408\/98555 or -1?\nAnswer: 408\/98555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 4 = 0, 3*s + 2*s - 40 = 4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2905130 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*k**2 + 60*k - 25131 - 60*k + 25131.\nAnswer: 293*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-34))\/(424\/(-1696))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -891\/7 - -127. Let q be 1 + 0 + (-1)\/4 + -1. What is the nearest to -3 in s, q, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/((-96)\/6844)*-2*-14. Let j = y + 155791\/13. Which is smaller: j or 8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**7\/84 - p**6\/30 + p**4\/12 - p**3\/12 + 15*p. Factor f(d).\nAnswer: d*(d - 1)**3*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64313*g**2 - 64314*g**2 - 64309*g**2 + 192932*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9314 - 11.7367?\nAnswer: -10.8053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 - 86*n**2 - 592*n + 680.\nAnswer: -2*(n - 1)*(n + 10)*(n + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 1)\/((-6)\/18). Solve 5 = -4*h + c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -43.6\nAnswer: 41.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 1. Let d(k) = k - 12. Let i be d(9). Let o be w(i). Let x be 85\/25 - (-2)\/(-5). Solve -5*v + 12 = o*f - 6*f, x*v - 12 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 916?\nAnswer: -916.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.684 in -0.2, -1, 5, 3, 1\/58?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 264911823 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 32448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 31152, 6, 1 in descending order.\nAnswer: 31152, 6, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28.4 + -29. What is the nearest to -2\/5 in -0.4, -3\/2, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkdwqdqqdddqddd. Give prob of picking 2 d and 1 k.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2532231.\nAnswer: 3, 13, 23, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*w + 21*w - 5*w)*(-4*w + 8*w - 2*w - 4*w + 2*w + 3*w - 1 + 1 - 2*w + (2 - 2 - 2)*(w + w + 0*w) + 3*w - 5*w + 4*w + 2*w - w - 3*w - w - 3*w + 2*w).\nAnswer: -145*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 u when three letters picked without replacement from {u: 5, a: 8}?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468077 is divided by 2295?\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 12, -31, -3 in ascending order.\nAnswer: -31, -3, 12, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u - 13*u**2 - 14*u**2 + 52*u**2 - 14*u**2 - 5*u**2 + 9*u**2.\nAnswer: 15*u**2 + 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 2*j + 4*j)*(5 - 1 - 1)*(2 + 3 - 4) + 22*j - 9429 + 9429.\nAnswer: 31*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82860 and 1140?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + -5 + (-7 - -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 11:13 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 23\/2 + (-1)\/2. Is 15 a factor of 442\/11 + (-2)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -12, 1, -629, -4, 5, 1\/20 in descending order.\nAnswer: 5, 1, 0.3, 1\/20, -4, -12, -629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -768*z**2 - 385*z**2 + 3599*z**3 + 64*z**2 + 21*z**2 wrt z?\nAnswer: 21594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**0\/(k*k\/k**(-2\/3))*k\/((k\/(k*k**(-7)))\/k)*k**(-12) assuming k is positive.\nAnswer: k**(-59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -33*j**3 + 3*j**2 - j - 2. Let l(o) = 65*o**3 - 7*o**2 + 2*o + 5. Give 3*l(h) + 7*p(h).\nAnswer: -36*h**3 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 6) to base 16.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -145*b + 11761. What is the thousands digit of d(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 331493*j**2 + 27471736515*j + 27472068009.\nAnswer: (j - 165747)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 13 + 15 = 4*i, -3*i + c + 21 = 0. Is i < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -487*d + 29*d + 5954 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 + -48?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 3*v - 138 = -115, -2*m = 3*v - 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (146\/(-4))\/((-3)\/(-2)). Let p be (-24 - 1 - 0)\/1. Let v = l - p. Which is the closest to 0.1? (a) v (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 6*b + 30 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - 2*w - 2*w + (w + 0*w + 2*w)*(6 - 3 - 10) + w + w + 0*w)*(2*w - 1 + 1)*(4 - 3 + 1)*(w + 1 - 1) to h + l*w + c*w**3 + i*w**2 and give c.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 1:23 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/214 and 133\/204?\nAnswer: 21828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at most -261375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k - 10. Let m(f) = -4*f + 9. Let u = 171 - 176. What is u*p(r) - 6*m(r)?\nAnswer: -r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 31241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5845 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, -2, 2 in ascending order.\nAnswer: -5, -2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + -7)*18*56\/(-882).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 32. Suppose -h - 12 = -4*t, 127*t - 8 = 124*t + h. Calculate the smallest common multiple of (-12)\/(4\/(t + -6)) and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 1. Let x(g) = 120*g**3 + 3*g**2 - 3*g + 5. Let s(v) = 2*u(v) - x(v). Is s(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99811, 99812, 99815, 99820, 99827, 99836?\nAnswer: 99847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 2\/151, 0?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, 24, -57, 1 in decreasing order.\nAnswer: 24, 5, 1, -7, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 151 + -224. Let v = l - -73.00000177. Round v to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -632.1 - 2?\nAnswer: -634.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/6*((-4705)\/(-80) + -59). Factor -9\/8 - v*f**2 + 1\/8*f**3 + 15\/8*f.\nAnswer: (f - 3)**2*(f - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9850b6 (base 13) in base 7?\nAnswer: -42303663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 3 - 10*g + 17*g - 11. Let r be o(-9). Suppose 51 = r*w - w. Is 17 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b**2 + 0*b**2 + b**2)*((4 - 1 - 5)*(0 + 3 - 1) - 34 + 13 - 10)*(3*b - 5*b + b) in the form f + r*b + d*b**2 + y*b**3 and give y.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = 4*h - 5*h. Suppose h = 4*n - c, 0 = 5*n - 4*c - 271 + 55. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 f when two letters picked without replacement from {f: 3, w: 16, v: 1}?\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30653292, -30653301, -30653310, -30653319?\nAnswer: -30653328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -572 + 628. Do -0.3 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u**2 - 3*u + 3. Let a(l) = 55*l**2 - 22*l + 22. Let c(v) = 3*a(v) - 22*y(v). Let z(s) = -8*s. What is c(z(g))?\nAnswer: -704*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 8\/229 and 86712 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 675834529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 17.1 and 37988.\nAnswer: 38005.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzggzgzzzg. What is prob of picking 3 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25660 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-24)\/(-60)*20 + 18120?\nAnswer: 2, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24510903 or -24510888?\nAnswer: -24510903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -214*j + 205*j + 72. Solve 6*z + 4*x = 2*z, 0 = -4*x - j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 5*f**2 - 7*f - 6. Give n(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2833 divide 100530847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcc when three letters picked without replacement from {l: 5, c: 9}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 354326 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05749876001 rounded to six dps?\nAnswer: -0.057499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.255256 times -0.172?\nAnswer: 0.043904032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w**3 - 3*w**3 - 2*w**3 - 6*w**3. Let a(m) = -23*m**3. Determine 6*a(r) - 51*s(r).\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/9, -2, -6\/2443 in decreasing order.\nAnswer: 2\/9, -6\/2443, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -201 + 200.9396. Let t = -17.7604 - j. Round t to 0 decimal places.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1355?\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - j + 2*j - 8, -2*j = 0. Suppose 0 = -3*q - 0*q + f*w + 10, -4*q + 4 = 2*w. Solve -q + 6 = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osor when four letters picked without replacement from mrosmrrrssosorxs.\nAnswer: 5\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**1*q)**24*q**1*q*q*q*((q\/(q*q*q\/(q\/(q*q**(-5\/2)))))\/q*q)\/q assuming q is positive.\nAnswer: q**(103\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-25)*30\/(-396).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 a when three letters picked without replacement from {c: 1, g: 4, x: 4, h: 9, a: 2}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59.4 + 59.422. Round m to three dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**7\/210 - 3*y**3\/2 - 29*y**2 + 2*y. Find the first derivative of h(r) wrt r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*r + 50, r + 7*o - 4*o = 6. Suppose -8*m - 1021 = -1117. Let v = 31 - m. What is the remainder when v is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**3 - 6*l. Let w(c) = -c**3 + c**2 - 1. Let a(i) = f(i) + 3*w(i). Let r be a(-4). List the prime factors of 2*3 - (r + -5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 351564 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((12 + -1)*-509)\/((-1)\/4). Suppose -o + 5*o + 4*p - h = 0, 5*p + 5581 = o. Suppose o = 10*m - 6*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/96)\/((-6)\/152) + (-38)\/171. Solve -h*n - 2*r + 30 = 0, 0 = 11*n - 7*n + r - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/15))**8)**(-12)*((l**1*l*l)**(1\/37))**(-2\/31) assuming l is positive.\nAnswer: l**(73378\/5735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -58164, -116325, -174486, -232647, -290808?\n\"Answer: -58161*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 + 4 + 79*s**3 - 3 + 188*s**3 + s**2. Is f(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*n + 18 = 0, -40 = -2*k - 1963*n + 1968*n. Suppose -329 = 2*c - 1019. What is the greatest common divisor of c and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**2 - 43*c + 3. Let u(h) = -31*h**2 - 282*h + 19. Let y(j) = 13*s(j) - 2*u(j). What is y(7)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.4, 4, -3, -0.5, -34078 in ascending order.\nAnswer: -34078, -3, -0.5, -0.4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3 + (-7 + 0 + 4)*(2 + 1 - 5) - 2 + 5 - 1)*(-2*l + 11*l - 7*l)*(3603 + 85*l - 3603).\nAnswer: 1530*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*h**4 + 64*h**3 + 132*h**2 + 6*h + 2.\nAnswer: -600*h + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**5\/12 - 10*v**3\/3 - 13*v**2 - 2*v + 18. Let i(d) be the first derivative of y(d). Factor i(g).\nAnswer: 5*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 399978655 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 0*n - 365. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/47 - -37\/235. Suppose 42 - 10 = 4*i. Let t = 6 - i. Which is the second smallest value? (a) t (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2063*s + 1803. Let y be t(3). Is -4385 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 8. Suppose 3*k + 7 = 4*f - 0*k, -2*k - 2 = -2*f. Let l = f + 0. Which is the closest to 0.1? (a) z (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3443829 is divided by 125.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*h + 3*w, -4*w = 2*h - 6*h + 44. Suppose 10*v = 12 + h. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 f when four letters picked without replacement from jjjfjjjjjjjj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 76*p**2 - 2*p. Let y(r) = 9*r. What is v(y(n))?\nAnswer: 6156*n**2 - 18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-1\/3)*y*y))**1\/(y*y*y**2*y\/y**(-3)))**(-18))**41 assuming y is positive.\nAnswer: y**6396","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 497*n - 193 wrt n.\nAnswer: 497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -26*p - 17\/2*p**2 - 12 + 1\/3*p**3. Let f be u(19). Solve -2*j = -j - 3*a + f, 4*j - 5*a = -13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 19\/392088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18719113 - -18719230.99947. Let b = i + -118. What is b rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -14*x - 4*x - 35 + 23*x. Let j be q(22). Let v = 79 - j. Solve -v*w + 9*w = -15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16457067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, f: 1, n: 3}. What is prob of sequence xfn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 6 = -3*s. Suppose s*o - 271 = 44. Suppose 0*c = 3*c - o. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -12780 (c) 5 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410\/581 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -360 (b) 6\/5 (c) 2\/9 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(11)*1)*4*-5 + -5)**2.\nAnswer: 200*sqrt(2) + 825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/9, -91\/37, 19, -0.3.\nAnswer: -91\/37, -0.3, 10\/9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**3 - 3*d**2 + 6. Let s be m(3). Let x be (-168)\/(-16)*s\/21. Calculate the highest common factor of 250 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -521 at most as big as 754\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-28)*(-12)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 32. Let u = i + -6. Which is smaller: -1\/33 or u?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/10 - 182\/420. Let l(h) be the second derivative of -z*h**3 - 1\/6*h**4 + 0 + 0*h**2 - 3*h. What is l(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 197 = 170 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*d*y**3 + d*y + 774*d - 3*y wrt y.\nAnswer: 36*d*y**2 + d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6))\/((-9)\/81). Is 6 a factor of (-2)\/2*a + 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7485\/998*1\/(-6)*-73*(-24)\/(-30)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 6, 27, -0.3, -2, -719?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -24516319 divided by -41\nAnswer: 597959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdz when three letters picked without replacement from {z: 2, x: 1, d: 2, v: 2, t: 1, j: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 29*u - 26. Give m(-13).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -408273*u + 3674464. Give h(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -48708, -94571, -140434, -186297, -232160, -278023?\n\"Answer: -45863*d - 2845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/4 and 28\/53.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 2*n - 12. Sort -1, -2, n.\nAnswer: -2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by 32\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85602749 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520 = 17*u + 503 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = b - 28. List the prime factors of b.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -20. What is the third derivative of -y*a**2 - 4340*a**3 + 0*a + 0*a + 4495*a**3 wrt a?\nAnswer: 930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4713.39m to micrometers.\nAnswer: 4713390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + 8. What is the highest common divisor of z and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2480 divided by -134.\nAnswer: 1240\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98775?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1120 and 4003232.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 246402.6ms?\nAnswer: 4.10671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-42)\/3 + -28 + 32)*6\/(-33 + 3). Solve -10*t - 12 + 2\/3*t**3 + 8\/3*t**h = 0.\nAnswer: -6, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -112.09, 0.2.\nAnswer: -112.09, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 404 + -245. Suppose 0 = 40*b + 15*b - 4141 - 1689. What is the greatest common divisor of q and b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 2308 - 6340 = 0. Suppose 27140 - r = 4*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + sqrt(2299)*1))**2 - (-2*(1 + sqrt(2299)) + -3*(-1 + sqrt(2299)))**2.\nAnswer: -20436 - 1298*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -3, 3, 2\/5, 203?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -7*l + 163. Calculate the remainder when n(-24) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -181\/14. Let j = 47 - 649\/14. Let r = d + j. What is the third smallest value in -0.2, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + -2 - (-4)\/2. Let m(x) = 2*x + 6. Let y be -2 + (-16)\/(-4) - 2. Let w(v) = -4 - 3 - 2*v + y. Determine f*w(l) - 6*m(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 534089820 and 24.\nAnswer: 1068179640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-56)\/(-35)*(-45)\/(-6). Is 8 a factor of 6\/36 - (-790)\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 5.6. Let p = -0.33 + -1.67. Let d(x) = x**3 - 5*x**2 + 13*x - 13. Let a be d(1). What is the second biggest value in k, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -18 + (4 - 3 - -2) + (-6 - -11)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 0.5, -3, -304\/5?\nAnswer: -304\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238051?\nAnswer: 11, 17, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2218, 15817, 52730, 124615, 243130?\n\"Answer: 1943*u**3 - u**2 + u + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352321 - 352321 - j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3622 * 4\nAnswer: 14488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19037701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**5\/30 - t**2. Let m(c) = 11*c. Let p(u) = u. Let b(r) = -m(r) + 5*p(r). What is k(b(l))?\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0581 in -0.03, 5, 4, -2\/3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 4:26 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39619346 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/39 and -41\/9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 12, i: 3, f: 1, y: 1, g: 1, w: 2}. What is prob of picking 2 i?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 28*v - 55*v + 25*v. Let c(w) = -110*w + 2. Let s(q) = -4180*q + 77. Let f(z) = -77*c(z) + 2*s(z). Determine p(f(j)).\nAnswer: -220*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1487 + 742 = 86*f + 3813 for f.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**8\/560 + f**5\/60 - 2*f**3\/3 - 1. Let g(d) be the third derivative of j(d). What is the second derivative of g(r) wrt r?\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2426445 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34.7 and -0.07.\nAnswer: 2.429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen fifths of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 6*i - 8. What is the tens digit of -1 + (i - 2) - -31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67272228 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 10\/7*t**2 + 2\/7*t.\nAnswer: -2*t*(5*t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12191344 divided by -1?\nAnswer: -12191344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7343527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k - 28 + 13 + 13 + 5*k**2 - k**3. Let q(s) = -2*s**3 - s**2 + 3*s - 2. Let z be q(-2). Let n be f(z). Solve 0*r - n*r + 2 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*g + 11*g - 132. Let r(d) be the first derivative of 0*d + 0*d**g + 3 - 2*d**2 + 1\/2*d**4. Find the second derivative of r(i) wrt i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(28)\/sqrt(4) - (2*sqrt(700) + sqrt(7)))**2 + -4.\nAnswer: 3384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11656298, 11656231, 11656118, 11655959?\n\"Answer: -23*f**2 + 2*f + 11656319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppxxpxppppxxppppx. What is prob of picking 3 x?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vh when two letters picked without replacement from kqkhvmq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {k: 9, d: 11}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33518637 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 20*y - 36 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 108 = 6*c. Solve -4*d + 11 = c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -65? (a) 0.02 (b) 0.5 (c) 5 (d) -4\/5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5\/d)\/d)\/d*d*d**(2\/17)*d*d*d*d*(d**(-1))**(-2\/9)*(d\/d**2*d)\/d**(-2\/9)*(d**(1\/3))**(4\/3) assuming d is positive.\nAnswer: d**(1225\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42267499 is divided by 210286?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -237.88 - 768.22. Let r = -1012.093 - q. Let u = r + 6. What is u rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i - i - 2*i + 33*i - 308*i - 44*i + (-1 + 0 - 1)*(-i - 3*i + 2*i) + 2 - 2*i - 2 - 6*i - 14*i + 11*i as s*i + o and give s.\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 256, 570, 884?\n\"Answer: 314*n - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a03d387 + -4?\nAnswer: 2a03d383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**4\/7 - 6068*j**3 + 150788879*j**2\/7 - 3098752702*j\/7 + 1998830440\/7 = 0.\nAnswer: 2\/3, 20, 7069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13928755 >= 13928755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4315253, -4315280, -4315293, -4315286, -4315253?\nAnswer: -4315188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u + 46. Let q be (3 + -2)*(-16 + 1). Let c be n(q). Suppose 2*w + 3*w = 640. Calculate the greatest common factor of c and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*y - 651, -3*y - 15 + 218 = u. What is the first derivative of -u - 3114*f**3 + 1562*f**3 + f + 1564*f**3 wrt f?\nAnswer: 36*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/122 and -79\/4.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1732, 1062, 3856?\n\"Answer: 2794*t - 4526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1700) + (sqrt(1700) - -4*(1 + sqrt(1700)))))**2 - (0 + (sqrt(1700) - 6*sqrt(1700)*1 - sqrt(1700))))*-3.\nAnswer: -6611328 - 52020*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 43 + 5)*(47 - 47 + 17*u).\nAnswer: -799*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1486*h**3\/9 + 67496*h**2\/9 + 93554*h\/9 + 27544\/9 = 0 for h.\nAnswer: -44, -1, -313\/743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + f**3 - f**3 + (3287 + 18*f**3 - 3287)*(5 - 4 + 0).\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.198 + 0.802. Let y = -0.1 - 0.9. Let d = 13.3 + 0.7. Which is the third smallest value? (a) d (b) y (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160128*d + 66 - 66 - 160111*d.\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*2)\/sqrt(11) + sqrt(11))**2*4.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23063 and 4.\nAnswer: -92252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2453 by -2453.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 6. Let z be 3*s - (2 + 17). Let i be 1\/3 + z\/30. What is the nearest to -1\/4 in i, 0.3, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 727925553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 62\/5 - 10\/25. Suppose -36 = 9*v - n*v. Calculate the greatest common factor of 15 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(66)*-1 + sqrt(66) + sqrt(66))*3)\/(-2*sqrt(600)*6).\nAnswer: -sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-144)\/16)*(2\/11)\/((-6)\/(-3)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen halves of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109848 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z. Let x(l) = -7*l + 7 - l**2 + 0*l**2 - l**2 - 5*l**2. Let b(a) = 4*a**2 + 3*a - 3. Let t(h) = -7*b(h) - 3*x(h). Calculate t(w(j)).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -244093 divided by -2?\nAnswer: 244093\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -41972.1 * 0.58\nAnswer: -24343.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-179841)\/(-53595) + 19\/(-5)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140*i**4 + 480*i**2 - 1221 + 1220 - i**3 - 141*i**4 to v + s*i**4 + w*i**3 + g*i + o*i**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-112)\/144*(-21)\/(-52). Let w = 1\/52 - u. Is -2\/15 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -33*m - 4. Let q(b) = -50*b - 6. Let j(s) = -7*a(s) + 5*q(s). Does 17 divide j(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7143761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 428\/(-5885)*(675\/18)\/(-15).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*f - 629 = 0, -3*i + 8*f = 9*f - 619. Let z = -13249\/64 + i. Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -18794 and -15889 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -117*h - 1995. Give m(-22).\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 12420 in increasing order.\nAnswer: -5, -4, 12420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 - w - 1. Determine p(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = -126 - 498. What is the remainder when 126 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -25. Suppose -l = -4*l + 12, 0 = 3*v - 2*l - 4. Suppose -4*w - v - 4 = i, 4*h - w - 54 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6058, -11962, -17866, -23770, -29674?\n\"Answer: -5904*b - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.44 - -0.56. What is the nearest to -1\/2 in -0.4, o, -0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75.20925998 + 62.2092609. Let r = u - -13. Round r to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/4*(-2)\/(-3). Let f(u) be the second derivative of u**3\/3 + 2*u**2 + 25*u + 1. Determine f(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1333420 - -10?\nAnswer: 1333430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25644, -25649, -25656, -25665, -25676, -25689?\n\"Answer: -b**2 - 2*b - 25641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, h: 8}. Give prob of picking 4 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18798193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 + 600743511306 - 600743511306.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18472 is divided by 1672?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3 - (-71)\/3. Let p be 274\/(-6)*s\/8. Let a be 2 - (p + (-2 - -1)). What is the highest common factor of a and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.069 (b) 4.569 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231823?\nAnswer: 231823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -9. Let x = -5.51 - -5.91. Which is the second smallest value? (a) h (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*v - 132 - 88 = 0. What is the fourth biggest value in -8, -9, v, -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*3*5*-2. Suppose i = f - v, 7*f + v - 120 = 2*f. Suppose -c = -6*c + f. What is the greatest common divisor of c and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3483*c**3*j**3*u**3 + 2839*c**3*j - c**2*j**3*u + 447*c**2*j**2*u**3 - 31*c*j**3*u**2 - c*j*u**3 - 4*j**3*u wrt c?\nAnswer: 20898*j**3*u**3 + 17034*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 155 and 13500?\nAnswer: 2092500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -11*r**2 + 10*r + 9. Let q = 123 + -122. Let d(f) = f**2 + 1. Let g(t) = q*z(t) + 6*d(t). Solve g(s) = 0 for s.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**5\/60 + 11*w**4\/24 + 13*w**3\/3 + 3*w**2. Let a be y(-7). Let t be (-56)\/(-21) - a\/(-3). Is t != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27522304*b*g**2 - 87*g**2 + 30*g - 33 wrt b?\nAnswer: 27522304*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/51633?\nAnswer: -2\/51633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, -11208906, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 167.0273 + 0.3027. Let z = -169 + a. Round z to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*f - 213*f + 21*f - 218*f.\nAnswer: -532*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/124 and 14 - (5650\/(-36))\/(-25)?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 6*s**2 - 2*s - 8. Let y be i(6). Suppose 4*m = -2*v - 3*v + 63, 0 = -2*m + 4*v + 64. Let o = y + m. Solve -j + 1 + o = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 - 2 + 2 + (k - k - k)*(3 + 4*k - 3))*(-24*k - 14*k - 7*k) to c*k + a*k**3 + g*k**2 + b and give a.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.187 - -1.813. Let j be (2 - -2) + (-3)\/(-12) + -4. Is j at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225240 divided by 9385.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -29. Suppose 4*j - 5*n + 5 = 1, -12 = r*n. Let d(m) = -m**2 - 8*m - 7. What is d(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8424 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (-10)\/(-14))*91\/((-26)\/2). Solve h*u - 29*q + 31*q + 10 = 0, -4*u - q = 11 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 21\/9504932?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/19 + 846736*h\/19 + 89620231712\/19.\nAnswer: 2*(h + 211684)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -5*m - 1, -3*f + 4*m + 0 = 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 17. What is the closest to o in 0.3, -2\/7, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 0*a + 4*a - 5*a - 8*a. Let v(y) = y. What is r(v(t))?\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a - a**3 + 2*a**2 + 9 - 3*a - 8*a**2. Let t = 7 + -13. What is w(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1036468?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 39681.\nAnswer: 317448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 1:42 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 0 - 1) + 34 - (915 + -909) - 1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + 2*w - 5*w)*(-2 + 2 - 1)*(-2*w**2 + w**2 + 0*w**2)*(0*w + 6*w - 3*w) to the form a*w + m*w**3 + p + t*w**2 + d*w**4 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(847) + sqrt(847) + -1)*4 + (3 + (sqrt(847) - (sqrt(847) - -2*sqrt(847))) - 5*(sqrt(847) + 0)))*1 + 4)**2.\nAnswer: -726*sqrt(7) + 102496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19, 85, 195, 349, 547, 789, 1075?\n\"Answer: 22*o**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppc. Give prob of sequence ppc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00084824448 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - ((-63)\/(-3))\/3. Let m be 1\/(-3)*36\/t. What is the greatest common factor of m and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-11 + (-18 - -5) - -24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 16. Let u(d) be the second derivative of 4*d + 1\/3*d**3 - 9\/2*d**2 + 0. Let h(t) = t - 4. Calculate p*h(w) + 4*u(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -155*n**5 - 2645*n**4 - 12105*n**3 - 20455*n**2 - 11500*n - 660 = 0.\nAnswer: -11, -3, -2, -1, -2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i + 96. Let h be q(-11). Suppose -2*n - 1000 = -2*m, -h*n = -27*n - 6. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 260 = -5*n, 5*k + 2*n = 3*n - 260. Let q = -3 - -1. What is the tens digit of (13\/k)\/(q\/152)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111 - 49. Let j be -2 - r\/(-15) - 2. Let o = -5.4 - -0.4. Sort o, j, 4 in increasing order.\nAnswer: o, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 208*x - 588.\nAnswer: -4*(x + 3)*(x + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 8880 = 4*f + 5*n, -2*n - 11067 = -5*f. List the prime factors of f.\nAnswer: 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 5*z**2 + 3*z + 3. Let o = -28 + 26. Let m be 0 - o*(-3 + 5). What is b(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5.603\nAnswer: -6.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/36?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (746\/(-11004)*20 + -1). Let f = v + 22\/131. What is the common denominator of 23\/33 and f?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9254, 11726, 14198, 16670, 19142, 21614?\nAnswer: 24086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**6\/360 - n**5\/180 - n**4\/18 + 2*n**3\/9 - 27*n**2\/2 + 15. Let z(b) be the second derivative of l(b). Factor z(p).\nAnswer: (p - 2)*(p - 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 2:40 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 192923999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 460 and 32?\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126956 and 29308.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 5 = 11*m. What is the tens digit of -13*(-13 - 1) - (m - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 4*l**2 + 2*l - 15. Let y be g(5). Suppose 7*t - 3*t = y. Let q be ((-30)\/4)\/t*-2. Solve -2*d - q = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20513388 divided by 10256694?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by (84\/(-126))\/((-4)\/(-42)) + 70?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10674 + 10674. Which is the nearest to h? (a) -2 (b) 0 (c) 8 (d) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2064054304\/27 - -76436601. Let x = -9856 - j. What is the common denominator of x and -14\/33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -152, -220, -378, -662, -1108, -1752, -2630?\n\"Answer: -6*q**3 - 9*q**2 + q - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135478, -135470, -135462, -135454, -135446?\nAnswer: -135438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-60)\/3 + 2)*-2. Calculate the highest common divisor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*m - 35*m**2 + 19*m**2 + 17*m**2.\nAnswer: m**2 + 247*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34.67 - 35. Let s = -0.07 + t. Which is the smallest value? (a) s (b) 6 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 730216 to the power of 1\/2, to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from {l: 10, h: 4}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - -1)*4\/(-6). Suppose m + g - 5 = 5*o, 2*m - 16 = -4*o. What is the tens digit of (-1 - -3) + 78\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (37 - (-8 - -12))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5526101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5704 - -13457. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-15)*366\/122)\/((-294)\/525)?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**4 + g**4 + 5*g**4)*(23 - 148 - 20).\nAnswer: -145*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 4*p**2 + 2*p - 4. Let m be l(-3). Let g(n) = -5*n - 1 + 4*n - 5*n. List the prime factors of g(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -87*d**3 - 102*d**2. Suppose 6*v = -91 + 25. Let c(a) = -29*a**3 - 34*a**2. Let w(z) = v*c(z) + 4*x(z). What is the third derivative of w(r) wrt r?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 1. Let x = -1 + j. Suppose -3*f + 0*f + 60 = 0. Calculate the smallest common multiple of f and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 589608.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*c + 516 = h, -2*h + c = -1012. Is h a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 3. Let c be (x\/(-2) - 5) + 296. Let r = c + -208. What is the remainder when r is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 - 66. Let w(t) = t - 4. Let q be w(2). Put j, q, -4 in ascending order.\nAnswer: -4, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 7 + 8*g**3 + (g - g + 2*g**3)*(-4 + 0 + 3) as o*g + m + y*g**3 + p*g**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72877633 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - (1 - 5)\/4) + 443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -0.1, -1\/2, -13\/128 in increasing order.\nAnswer: -1\/2, -13\/128, -0.1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3235.243 centuries?\nAnswer: 323524.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + (2*sqrt(90))\/sqrt(9))\/((sqrt(72) - sqrt(8))\/sqrt(4)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/170489 and 41\/1760.\nAnswer: 27278240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 11:37 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**3 - 1344*l**2 + 529*l - 1 wrt l.\nAnswer: -12*l - 2688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 269*g**5\/20 + g**4\/6 + 122*g**3\/3 - 5*g + 34. What is the third derivative of k(f) wrt f?\nAnswer: 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90*x**5 + 16*x**3 + 4*x**2 + 86782*x.\nAnswer: -1800*x**3 + 96*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 608, 628, 648, 668, 688?\n\"Answer: 20*j + 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -20, -2, 0, 1, -1, -314398?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -4\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 154 = -2*d. Let q be (5602\/d)\/(-3 + (-50)\/(-15)). Let h = -202589\/168 - q. Find the common denominator of -137\/24 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + sqrt(68) - sqrt(68) - sqrt(68)) + -1 + ((0 + sqrt(68))*-5*4)**2.\nAnswer: -2*sqrt(17) + 27196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, i: 5}. Give prob of sequence ia.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 0*z + 1\/3*z**3 + 1\/60*z**5 + 1\/24*z**4 - z**2 + 0. Let f(u) = -4*u**2 - 4*u - 9. Suppose 1 = a - 1. Give a*f(g) + 9*v(g).\nAnswer: g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/21498 and 20.\nAnswer: 21498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - 1. Let r(l) = 5 + 0*l + 2*l - l + 6. Let v be r(p). Solve 0 = 5*y - 5*t + 5, v*y + 26 - 7 = -t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 2, 1555, -66.\nAnswer: -66, -5, 2, 4, 1555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 8. Suppose -i*l + 4 = 2*l. Solve -k + 10 = 2*m, 4 = -4*k + m - l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 600 = 21*b. Let t = 98 + b. Let m(v) = -v**3 + v**2 + v. Determine m(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*(-1176)\/1680?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112312 and 26688?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 5:45 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from rrrorrororrrrrrroorr.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213950071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 913468 + -362031. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11756 - 5996. Suppose 0 = 6*y - 0*y - u. What is y rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 745 - 287 + 443 = 50*l - 449 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3 = -1, 0 = 3*i - 5*b + 8. Put -0.5, i, 1 in increasing order.\nAnswer: i, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15, 10, 89, 252, 529, 950, 1545?\n\"Answer: 5*b**3 - 3*b**2 - b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/28893497 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120091 (base 10) to base 15.\nAnswer: -258b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -5 (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5642013 divided by 3?\nAnswer: 1880671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -38.5. Let k be (4 - (-44)\/(-12))\/((-1)\/3). Let n(o) = -3*o**2 + 2*o + 1. Let h be n(k). Which is the closest to 2\/7? (a) h (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(44\/(-33))*4\/(-90)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*n**4*y**2 - 8*n**4*y - 18*n**3 - 3805*n**2*y**2 + 2*n**2*y wrt n?\nAnswer: 336*n*y**2 - 192*n*y - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/11))**(3\/23)*(u\/(u\/(u*u*u*u**(1\/5)\/u)))**(1\/54) assuming u is positive.\nAnswer: u**(4403\/68310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 11*c**2 - 2. Let x be s(-11). Let o = 0 + 1. Suppose q + h - 5 = 0, o = -4*q - 5*h + 24. Sort -4, x, q in descending order.\nAnswer: q, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*x**5 - 188*x**4 + 1888*x**3 + 720*x**2 - 576*x = 0 for x.\nAnswer: -6, -3\/4, 0, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5 + (sqrt(11)*1*-2)**2 - sqrt(33)\/((sqrt(192) + (sqrt(192) - sqrt(192)*4) - sqrt(3)) + sqrt(3) + sqrt(3)))*-5.\nAnswer: -243 - sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.625 minus -19.506?\nAnswer: 14.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.2 and 8.46.\nAnswer: -18.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 17*j - 110. Solve 0 + j = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 21 = 3*v, -2*v - 3 - 1 = 3*w. What is the least common multiple of 0 - ((1 - w) + -9) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g. Let q(k) = -3*k**2. Let a(x) = 10*x**2. Let p(b) = 6*a(b) + 21*q(b). What is p(y(m))?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -42. Calculate the remainder when 44 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 897 divide 82949707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3327 + 3322. Let x = -0.81 - 0.09. Let p = x - -1.3. Which is the third biggest value? (a) 0.2 (b) -4\/7 (c) p (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 - (3 + -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5841, 11649, 17421, 23157, 28857?\n\"Answer: -18*z**2 + 5862*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30669)\/(-7)*(-3)\/(-4125). Let t = n + -4\/875. What is the common denominator of t and 71\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 13\/287 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 1656220?\nAnswer: -1656223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(2*v**3 + 6*v**3 - 4*v**3).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y + 20. Let g be f(5). Solve -q + 1 - 2 = g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-963*t**3 - 992*t**3 + 1952*t**3 + 1706*t**2)*(5 - 4 - 2) to the form m*t**2 + q + s*t**3 + z*t and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -296.5 - -297. What is the nearest to 50 in z, -4, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**4\/3 - 15*g + 2. Suppose 0*u + 3*u = 2*k + 4, -4 = 2*k. Let d(z) = 11*z + u*z - 7*z + 4*z. What is t(d(x))?\nAnswer: 256*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + 949 + 1116 + 1136 - 2827 in the form a*b + q and give q.\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 784 in -26, -0.4, -10, 8\/15, -0.3?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d - 58. Let s be n(-10). Suppose s*h + 4*j = 8, -2*h - 4*j + 6 = -2*j. Suppose 0 = 10*w - h*w - 1952. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1133313 to the nearest ten thousand.\nAnswer: 1130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 849*j - 797*j - 43888. What is the nearest to 1 in -5, 3\/2, j?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t**2 + 2247542*t + 642156 = 0.\nAnswer: -2\/7, 160539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96978350 and 20?\nAnswer: 193956700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 12*u + 2 = 10*u, w = 3*u + 1. Which is the fourth biggest value? (a) -13 (b) w (c) 2 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 5800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -4 (b) 1.2 (c) 11 (d) 366 (e) -0.4 (f) 2 (g) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -93, -107, -123?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 221 - 221. Solve x*v = -v + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*j + d, 0 = 61*d - 57*d - 8. Sort 2, j, -4, -2\/5 in descending order.\nAnswer: 2, -2\/5, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 529*j**3 + 349*j**3 - 294*j**3.\nAnswer: 584*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3044, -2716, -2322, -1856, -1312?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17 - -18)\/(2\/4). Let r(m) = 7*m - 5. Let p be r(w). Find the third derivative of -5*z**2 + 15*z**3 + 3*z**3 - p*z**3 wrt z.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 + 19. Let d = g + 26. What is the closest to 2 in -0.2, -1\/2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2 - (-8855)\/(-10))\/((-6)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 5*f + 6. Suppose 0 = u + u - 10. Suppose u*i = i - 16. What is the units digit of p(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*w + 10 = 0, -3*w = -5*a + w - 20. Solve -2 + a = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 32\/3, 2\/31, 1135\/8, -2?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 1499589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 9 = -23. Suppose 0*j + 25 = 5*j + t, -j = -2*t - q. What is the highest common divisor of 9 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12304492741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -295, -469, -571, -571, -439, -145?\n\"Answer: 5*d**3 + 6*d**2 - 227*d - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, c: 5}. What is prob of sequence clc?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4944?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 2120020022?\nAnswer: 2120020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1662*q - 56. Let c(b) = 9*b**2. What is a(c(f))?\nAnswer: -14958*f**2 - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s**2 - 4*s + 4. Let t(a) = 2*a**2 + 4*a + 4. What is the least common multiple of l(2) and t(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4656 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1633, -1264, -885, -490, -73, 372, 851?\n\"Answer: q**3 - q**2 + 365*q - 1998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5725*r**2. Let u(j) = 89407*j - 178818*j + 89410*j. Calculate u(m(s)).\nAnswer: -5725*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 251.31501 nanoseconds?\nAnswer: 0.0000000041885835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -3. Suppose 4*g - 4 = 0, -2*h = -5*g + 18 - 53. Suppose 4*l = -5*s + h, s - 4*l = 3*s - 8. What is the biggest value in s, v, -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3 + 23*g**2 - 80*g wrt g.\nAnswer: 6*g + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 29 - 16 = 0. Let w(p) be the first derivative of p**4\/4 - 3*p**3 + p**2\/2 - 6*p - 2. List the prime factors of w(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36262 (base 8) in base 4?\nAnswer: 3302302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74978*u - 249158*u - 31968*u.\nAnswer: -206148*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8849 - 14087578747.\nAnswer: -14087578748.8849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 488 and -0.5.\nAnswer: 487.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (350\/(-40))\/(((-285)\/24)\/19).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201546 = -3*h + u, 5*u = 2*h - 162882 + 28518. List the prime factors of h.\nAnswer: 2, 3, 11197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 m, and 1 d when three letters picked without replacement from {m: 1, f: 2, r: 2, v: 2, o: 1, d: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(2 - 1 - 2)*(2*c**3 - 2*c**3 + c**3)*(0 + 0 - c).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.037182 * 5\nAnswer: 0.18591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/11, 291, -4\/5, -4.698?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/2)\/1 - 4. Let g + 1\/4*a**2 - 1\/4*a + 1\/4*a**3 - 1\/4*a**4 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**3\/2 + 151*i**2\/2 + 26577*i + 307188 = 0.\nAnswer: -159, -12, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (1 + sqrt(99))**2 - sqrt(132)\/sqrt(48)) + 0 - (sqrt(704)*-1 + -3)*-2.\nAnswer: -19*sqrt(11)\/2 + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6599.277km?\nAnswer: 659927700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 990 and 5715.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - -1)\/(-7*195\/546)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, 92\/9, 1403, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b4b (base 13) in base 11?\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -244\nAnswer: -3\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, g: 1, b: 14}. Give prob of picking 1 g, 1 e, and 1 b.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + ((-13900)\/(-475) - -28) - 30.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -199930, 0, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 28*f = -3*w - 30*f, 0 = -8*w - 16*f + 21*f + 36 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - -2.9. Which is the nearest to 0.1? (a) 1\/8 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 142076 = 5*q, -q - 22*b + 23*b = -28412. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 494*f - 26 - 20 - 21 + 67 to k + v*f and give v.\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161 and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 + 15\/6)*10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -9*j**2 - 2*j + 6. What is d(-3)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-10))\/((-11)\/(13750\/(-30)))?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2594181276.\nAnswer: 2, 3, 24020197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -10, 1\/3, -0.2, 5 in descending order.\nAnswer: 5, 1\/3, -0.2, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 - 26 + 32 = 3*w + v, -12 = 4*v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.2 - 1.199912. Round r to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(208) + 0)**2 + -2.\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50612704 to the nearest integer?\nAnswer: 7114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - r. Let l(b) = -3*b**2 + 6*b - 7. Let h(k) = -l(k) - t(k). What is the units digit of h(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 146.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 10*w - 14 = 0. Solve -w*h = 1 + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/1013? (a) 1\/4 (b) -11 (c) 0.2 (d) -12 (e) -2\/93 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/15 (b) -0.015 (c) 1\/30 (d) -0.5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 4*u + 14. Let l(a) be the first derivative of a**3\/3 + a**2 - 5*a - 3. What is the remainder when l(-4) is divided by h(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -1 - 3) + (-77 - -76)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -178*d + 1173. Give o(7).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from vvvvvvvvlvvvv.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -14*u - 14. Suppose 6 = 2*r, -4*r - 3 = -3*q - 9*r. Let y(g) = -5*g - 5. Let v(j) = q*k(j) + 11*y(j). Let d be v(-2). Which is greater: 3 or d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*d**2 + 257*d**2 - 92*d**2 - 87*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 1b1ee?\nAnswer: 1b1ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -13*k**2. Let f(l) be the second derivative of 7*l**3\/6 + 4*l + 8. Determine f(d(a)).\nAnswer: -91*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 17*d**5\/5 - 5*d + 3. Find the first derivative of n(a) wrt a.\nAnswer: 68*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -24*(-310)\/440*11. Suppose 0 = -c - 3*c + 1240. Calculate the highest common factor of c and t.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -12, -32 in ascending order.\nAnswer: -32, -16, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, 0, -5 in ascending order.\nAnswer: -8, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 16*x**2 + 15*x + 22. What is f(17)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen sevenths of a week in hours?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 11*l - 10*l = -20, 3*s = 4*l + 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3090 - 1940. Suppose 6 = 2*o - 4*o, 4*t - l = -2*o. What is the greatest common divisor of t and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgp when three letters picked without replacement from ggpppgppgpgpppgpppp?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 15 - 5 = -4*a, -5*y - 25 = 0. Suppose 32 = 4*v - v + 2*x, 0 = 5*v - 2*x - 48. What is the greatest common factor of a and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*i**3 + 16*i**3 + 11*i**3 + 9*i - 1 + 8*i**3 in the form d*i + m*i**3 + h*i**2 + u and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -3*r**5\/40 + r**4\/2 - 5*r**3\/4 + 3*r**2\/2 - 375*r. Factor v(i).\nAnswer: -3*(i - 2)*(i - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 4\/9, -1, 0.447, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 73, 85, 111, 157, 229, 333, 475?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.01\nAnswer: -0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1861 is divided by 205?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a - -10?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + 6. Suppose -6*h - 19 = -2*h - 3*l, -2*h + 4*l - q = 0. Let r be (0 - -1)\/h - -15. What is the greatest common divisor of 35 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (-42 + 0)*-1 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-783*x**3 + 391*x**3 - 5 + 396*x**3)*(-4 + 4 + x + (0 + 2 + 0)*(3*x + 3*x - 4*x) - x + x - 2*x + x + x - x + 15 - 7*x - 15).\nAnswer: -12*x**4 + 15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 28519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-2)*(-2)\/(-6). Is (-53)\/(-3)*(2 - f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -120*(6 + (-48)\/6). Let y = m - 244. Let z = 7 - 7.3. What is the fourth biggest value in y, z, -0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 12*y**2 + y - 1. Let b be 5\/4 + (-4)\/16. Suppose 2*v - b = 1. What are the prime factors of w(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27608925 < -27608923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*z + 174235 - 173988 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -862, -875, -920, -1015, -1178, -1427?\n\"Answer: -3*o**3 + 2*o**2 + 2*o - 863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -404132 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4905 + 4914. Calculate the remainder when 141 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -218, -4, -17 in decreasing order.\nAnswer: 33, -4, -17, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58189754.\nAnswer: 2, 7, 71, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4178731km?\nAnswer: 417873100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 11:31 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4077046 + 8154090 - 176*d - 4077044.\nAnswer: -176*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*s = 21936 + 22590 - 45186 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156 (base 7) to base 4.\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/5)\/n)\/(n*(n**(-1\/6)*n)\/n)*(n**4)**(-2\/13) assuming n is positive.\nAnswer: n**(-877\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36.6 - 32. Let w = -5 + x. What is the third smallest value in 2\/11, w, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2.4. Which is the closest to -1\/2? (a) x (b) 4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3\/8, -2.6, -9, -2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5748331 and 249.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 14) in base 8?\nAnswer: -374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7*m - 2*v = 4110, -5*m - 3*v = -4110. List the prime factors of m.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7*h**19)\/(h**(-3\/10)\/h)**(-15\/7) assuming h is positive.\nAnswer: h**(325\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41140750 + 4?\nAnswer: 41140754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 578. Let v(m) = -5*m + 2876. Give -11*p(c) - 2*v(c).\nAnswer: -c + 606","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4515 - 2542. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 297 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*a = -16, 0 = 3*l + 4*a - 64 + 48. Suppose 39*r - 41*r + 770 = l. What is the highest common factor of r and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*-0.037.\nAnswer: 0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41431 is divided by 98?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.26 + 59.34. Let u = 63.5999532 - v. Round u to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j**2. Let w(d) = -3*d - 6 - 1 + 7. What is w(a(x))?\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -68, 13, 94, 175, 256?\n\"Answer: 81*s - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23516?\nAnswer: 2, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 27\/10, 4.01, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1736.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 + 148 = -35*f + 101 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/6)*j**(-4))**48*(j\/(j*j**(1\/4)))**(-48)*(j*j**(-1\/2))**(-1\/11) assuming j is positive.\nAnswer: j**(-2729\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1563*a**2 - 1667*a**2 - 1277*a**2 + 4498*a**2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29941, 59890, 89839, 119788, 149737, 179686?\n\"Answer: 29949*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18504714617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 + 295)\/(239\/14579) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (7 + -9 + 3 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 127 + -87. Suppose -a = 3*a - p. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**3 + v**2 + 11*v - 12. Let d(u) = 4*u**3 + 2*u**2 + 11*u - 15. Calculate 4*d(m) - 5*r(m).\nAnswer: -4*m**3 + 3*m**2 - 11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-23800)*-17*25\/10?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -58615\nAnswer: 4\/58615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 72190740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.535112 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q**3 - 13*q**2 - 21*q + 20. What is the tens digit of i(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8552 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*k - 40*k = -93*k + 1629600. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -19 - (-3 - (-3 + 2)). Let n = i + 20. Suppose 3*y - 69 = 3*p, -n*y = -5*p - 50 - 13. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6214815?\nAnswer: 3, 5, 138107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*k**(-2\/5)))**(-1\/7))**(-23) assuming k is positive.\nAnswer: k**(-69\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 7*k = -5*o, -3*k + 5*o + 30 = 0. Determine j, given that 4*j**k + 8*j**3 + j**4 + 2*j**2 - 12*j**3 - 3*j**4 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28779 and 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 4) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2048*a + 1931 - 2048*a - a**2.\nAnswer: -a**2 + 1931","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 6*p**2 + 2*p + 7. What is m(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 69 (b) 0.09 (c) 5\/18 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73 + 83. Solve -p + 3*z - z - t = 0, -p + 10 = 3*z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 4*l - 1\/60*l**4 + 0 - 1\/15*l**3 + 3\/10*l**2. Determine n, given that c(n) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 124 - 13 = 0. Let c = x - -88. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 6 + -3 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbeemmembm. Give prob of sequence bbeb.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 2*b**3 - 386 + 386. Let d(o) = 27*o**3 + 4*o**2 - 1. Let s(g) = 12*a(g) + 3*d(g). What is the derivative of s(n) wrt n?\nAnswer: 171*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 78*o + 75*o + 254 + 1 - 5 = 0, -27*u + 360 = 3*o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -37 (b) -22 (c) 1 (d) -0.5 (e) -36.9 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22396748 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -21*i**3 + 3*i**2 - 6*i - 13. Let v(y) = -y**3 - y - 2. Calculate -6*v(g) + w(g).\nAnswer: -15*g**3 + 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -277 - -541. Suppose 2*d - c = -2*o, -o + d + 53 + 71 = 0. Let t be (-1 + 0 - 1) + 18. Calculate the greatest common factor of o and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3770 = 2*d - 31*d. Let r = 5 + -4. Does 13 divide 2\/r*d\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaytataa. What is prob of picking 1 y and 1 a?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(153) - (sqrt(153) - (sqrt(153)*-2 - sqrt(153))) - sqrt(153))\/sqrt(9)*5 - (-2*sqrt(187))\/sqrt(11)*1).\nAnswer: -18*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-1)*1)\/((-184)\/(-92))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 + 0)*(1 + 14*g - 3 - 16*g).\nAnswer: -10*g - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 11, s: 4, r: 4}. What is prob of picking 2 s and 1 j?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*(2 + sqrt(539)) - ((sqrt(539) + -2)**2 + 4)) + 5.\nAnswer: -533 + 63*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248 and 898792424?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 3*q**2 + 942*q**3 + 4*q**2 - 4*q**2.\nAnswer: 942*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1343182.\nAnswer: 2, 671591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + x = 205, 0*x + 4*x + 60 = -2*l. Put 2, -2, l, 9 in increasing order.\nAnswer: l, -2, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h = h - 19 + 387 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -555 + 575. Let m be (10*(-2)\/(-4))\/(-1). Is (-356)\/v*1*m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 + 209 = 17*b - 50 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10042433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68271 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 2*j**2 + 1 + j**2 + 7*j**2 to i*j**2 + q + r*j and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11748067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18042037595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -26, -7?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdedxuxefxdfepdxdd. Give prob of picking 1 x, 2 e, and 1 d.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*f**4 - 37*f**4 + 0*f**4)*(1 - 3 + 4) to t + d*f**3 + y*f**2 + i*f**4 + s*f and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 12) to base 14.\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98 + 98.4. Let f(k) = -76*k + 759. Let y be f(10). Sort g, y, 1 in decreasing order.\nAnswer: 1, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/9 and 173\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 8*k - 1. Suppose -18 = o + o. What is the lowest common multiple of r(o) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010010111 (base 2) in base 13?\nAnswer: -9ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12239 + 19270. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7445 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 40513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 46. Let h(k) = -15*k + 0*k**3 - 12*k - 2*k**3 + 28*k - 1 - l*k**2. What is h(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(297))\/(sqrt(176)\/sqrt(4)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4331\/28 + 154. Let w = 3\/7 + t. Let s = 19\/42 - -3\/14. Which is the biggest value? (a) 1 (b) s (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/63 and 91\/135.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -5\/6 (c) -8411 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -63.7\nAnswer: -191.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 2\/19 (c) -72\/131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 3*l + 11. Let w be i(-8). Let k = 137 + w. Suppose 0 = 5*u - k - 20. Solve -4*a + u = -0*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -1444.9\nAnswer: 5779.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n + 8*n - 3*n - 18*n + 0*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in 0.4, -3\/13, 3\/2?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/10)\/((-30)\/(-75)) - -6. Suppose r - n = -7. Solve r*b = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + (11 - -2) - 0) + -8. Let a(g) = -261*g**2 + g - 3. Let n(k) = -174*k**2 + k - 2. Let m(f) = -5*a(f) + 7*n(f). Is m(v) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -212030, -211970, -211910, -211850, -211790?\n\"Answer: 60*x - 212090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -258 + 216. Is 6\/(-21) + (-144198)\/h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f**3 - f**4 - 20*f + 17*f**3 - 10*f**3 - 32*f + 2*f**2 as a*f**2 + w + p*f + u*f**4 + c*f**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 1)*3 - 1. Let x = 722 - 725. Let y be (-1 - x\/(-3))\/((-22)\/(-55)). Sort y, -4, -2, f in descending order.\nAnswer: f, -2, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -8*d + 0 - 1\/15*d**6 - d**3 + 0*d**5 + 0*d**2 + 0*d**4. What is the second derivative of m(l) wrt l?\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 5:16 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -27, 2, 398 in descending order.\nAnswer: 398, 4, 2, 0, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 35. Suppose 7 = -4*a - 3*f + 23, 0 = -4*f. Solve -a*n - b = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -2\/41 (b) -5 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000495213844 to five decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, 5, 4.7, 6\/7, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + ac?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12144)\/(-27060) - 6\/15. Which is smaller: -13 or c?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 2\/13*z**2 - 18\/13*z = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m - 2*m + 5*m + 0*m + 2*m + 0*m + (0 + 1 + 0)*(2*m - 5*m + 4*m) - 2*m - 2 + 2 - 4*m + 6*m + 2*m - 1 + 5*m + 17 - 6*m.\nAnswer: 5*m + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0732297 milliseconds to minutes.\nAnswer: 0.000001220495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2358 and 1441.\nAnswer: 25938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2331420 and 92232.\nAnswer: 41965560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0124 - -4.0124. Let s = 0.41 - 0.01. What is the second biggest value in 3\/5, 57, s, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((2 + 20\/(-12))*-4)\/6. What is the third smallest value in 0.5, 24, q?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105462 a multiple of 558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2207*d**3 + 723*d**3 - 6278*d - 312*d**3 wrt d?\nAnswer: 15708*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b + 41. Let o be t(-11). Suppose -7*g + 862 = o. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 98200765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q - 2*q)*(0 + 0 + 1) - q + q - q + q - 23*q + 2*q.\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*f = 2*r - 25, 4*r - 3*f = 11. Suppose -r*x + 2198 + 134457 = 0. Let q = x + -656041\/24. Find the common denominator of q and 1\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -79653172202.1\nAnswer: -79653172205.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 1. Let x be 3\/4*(-8 - u). What is the common denominator of 79\/6 and ((-1)\/3)\/((-14)\/x)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26.79 + -3.51. Let y = r - -30. Which is greater: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*z + 5*u, z = 2*z - 2*u. Let v be z\/5 - 608\/(-95). Calculate the common denominator of 381\/(-126) + (-3)\/v and 83\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 17, -0.8, 0.4, 4 in increasing order.\nAnswer: -0.8, 0, 0.4, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 63*r**2 + 3*r - 35. Is u(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2*h + 19, 0 = -2*o - 5*h + 2*h. Suppose -o*b = 2*b - 50. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7791 and 172641?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*m**5 - 3*m - 8*m + 1 + 0 - 3 wrt m?\nAnswer: 400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 2.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15 and -0.319.\nAnswer: 14.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -1\/1440*f**6 + 0*f**4 + 2\/3*f**3 + 0*f + 2 + 0*f**5 + 0*f**2. Let n(l) be the third derivative of s(l). Factor n(z).\nAnswer: -z**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 38, -1\/3, 1\/3, 3\/2 in decreasing order.\nAnswer: 38, 3\/2, 1\/3, -1\/3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31.4 - -15.3. Let w = -16.3 - y. Let p = 0.06 - -0.74. What is the nearest to 3 in 5, w, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 58, 115, 224, 403, 670?\nAnswer: 1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 2*i. Suppose -3*l + 10 = -20. Let j(c) = c**2 - 12*c + 20. Let s be j(l). Solve 5*y + i*y = -2*x, s = -x - y - 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3160, 6343, 9538, 12751, 15988, 19255?\nAnswer: 22558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 932762964?\nAnswer: 2, 3, 7, 83, 353, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = 44*l + l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + z)*(30*z + 25*z**2 + 20*z + 53*z + 54*z - 191*z).\nAnswer: 25*z**3 - 34*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146073 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 42 = -3*y, 44 = -3*y + 2*j + 2. Sort y, 5, -5, 0 in descending order.\nAnswer: 5, 0, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -122919\/110 + 34509\/44. Let l = -333 - p. Let u = -1311\/7 + 187. Sort 0.4, 4\/3, u, l in descending order.\nAnswer: 4\/3, 0.4, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 2*r**2 - 5*r + 6. List the prime factors of g(5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51367, 51357, 51331, 51283, 51207?\nAnswer: 51097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13209 by 3.\nAnswer: 4403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 41*u**2 - 604*u - 859. Calculate l(53).\nAnswer: 837","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 51 = -8*v. Let o = v - -17. Are o and -35 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -584*b + 333*b + 1165*b - 90*b + 1884*b + (0 - 2*b + 0)*(-5 + 5 + 3).\nAnswer: 2702*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (189\/15 + (-84)\/(-210))\/(7\/(-7)) + 70\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 divided by 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 638516 (base 11) in base 12?\nAnswer: 41318b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1668694032 to the power of 1\/4, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 62844960*m + 439914965.\nAnswer: -5*(m - 7)*(m + 12568999)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52951?\nAnswer: 52951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 7*c - 6. Let p be f(5). Suppose -t = -5*h + 22, 18 = 3*h - p*t + t. Solve -w - 3*y - 3 = 0, -h*w + 2*y + 3 = -13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144573, 144557, 144531, 144495, 144449, 144393, 144327?\nAnswer: 144251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -x + 10. Let m be ((-3528)\/9)\/8*-2. What is the greatest common divisor of x and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 7773*n - 62112. Calculate d(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -342825 divided by 5.\nAnswer: -68565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2221660 = 2*s, -474*r - 2*s + 2777057 = -469*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -183731 (base 10) to base 11.\nAnswer: -116049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5432722561079 plus -68?\nAnswer: -5432722561147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 78.6 and -0.629.\nAnswer: 77.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-20))\/(9680\/1056).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) -29 (c) -0.5 (d) -17 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a factor of 56518177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 85 divided by -3\nAnswer: -85\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 22. Is 137 + z + (-14 - -17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 - 51. Let w(u) = -19*u - 16*u + o*u. Let m(y) = -26*y - 36*y + 10 + 65*y. What is w(m(s))?\nAnswer: -6*s - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 - 46*h + 0 - 2*h**4 - h**3 - 4*h**4 + 13*h**4 - 5*h**4 + 3 to the form n + t*h + z*h**3 + w*h**4 + q*h**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 295 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*d**5 + 17*d**3 + 2566*d**2 + 463397927*d wrt d.\nAnswer: -820*d**3 + 102*d + 5132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278017, 556033, 834045, 1112053, 1390057?\nAnswer: 1668057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 6*y + 4*y, -4*b - 3*y - 1 = 0. Suppose -b*i - i = -54. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18760 and 18571060.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/5)\/((-1)\/5). Let m(w) = -w - 1. Let g(n) = -4*n - 7. Let c(j) = g(j) - 3*m(j). Let u be c(h). What is the highest common factor of 8 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/68 and -97\/254?\nAnswer: 8636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 44 + 6 + -20 + 15 + (2 - 4)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 - -122. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609356 is divided by 299545?\nAnswer: 10266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**2 + 20361*m + 40734 = 0. Calculate m.\nAnswer: -2, 6789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 4, -7, -22682 in decreasing order.\nAnswer: 4, -2, -4, -7, -22682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a factor of 18007520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1909505 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97*u**3 - 11601*u**2 + 11601*u**2 + (0*u**2 + 0*u**2 - 2*u**2)*(-u + 0*u + 0*u) + 2*u**3 + 1 - 1)*(-2*u + 2*u + 7*u - u).\nAnswer: 606*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, e: 1, c: 1, j: 3}. What is prob of picking 1 e and 1 a?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7108290 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: Let w(g) = -11*g**3 + 730*g**2 - 9883*g - 306. Give w(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44683896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*j + 13 = 0, 108*j - 105*j = -5*o + 31. Let k(v) = -2*v + 21. Let z(x) = 6*x - 64. What is o*z(t) + 14*k(t)?\nAnswer: 2*t - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3\/8 + 651*y**2 - 2189385*y\/8 - 6661575\/4 = 0. What is y?\nAnswer: -2085, -6, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4*4\/(-4))\/((-20)\/(-30))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkbbkkbbkbkkbb. What is prob of picking 4 k?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/1 + 5 + -1. Factor 2*i**4 - i**r + 0*i**3 + 0*i**4 + 0*i**5 - i**5.\nAnswer: -i**3*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k - 70. Let r be h(18). Solve -r*b = -7*b + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1) + -1 + 1. Let j = 0 - g. Let h = -1 - j. Is h not equal to 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1018 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 1 - 311399*w**3.\nAnswer: -311399*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/4*16\/(-20). Let v(g) be the third derivative of g**5\/20 + g**4\/12 - g**2. Is 4 a factor of v(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwimiiwwiowdq. What is prob of sequence wwdq?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 14, y: 4}. What is prob of picking 2 y?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*t - 4, 5*g + 2*t + 3*t = 25. Let m be 3\/g + 3 + 5. Let r = m - -2. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1986119093.\nAnswer: 7, 283731299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 538500304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*q - 6 + 14*q**2 + 4 + 193*q + 94*q**2.\nAnswer: 108*q**2 - 90*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2186573\/72 - -30368. Find the common denominator of 17\/96 and g.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 2:43 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 65 = 5*i - 13*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljej. Give prob of sequence je.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22534604 - -5?\nAnswer: -22534577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6c4 + 9?\nAnswer: -6b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -10. Suppose -4*w - 5*i = -567, w = 3*i - f*i + 140. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -0.3. Let r(j) = j**3 - 9*j**2 + 2. Let l be r(9). Suppose 3*v - l = 5*v. Which is the closest to f? (a) v (b) 2\/11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 831969 and 184882.\nAnswer: 1663938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*88\/132\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 3*o - 2. Let r be u(2). Suppose -44*n - 50 = -47*n + 2*z, 3*z = -5*n + 96. Suppose -r = -2*q + n. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q = -14*q - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1280946 is divided by 264?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwdwprprf. What is prob of picking 1 i and 1 p?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 503 + -501. Suppose 0 = a*l - 1606 - 398. Is l a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0127730832 to 5 dps.\nAnswer: -0.01277","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-6) + -2 - (-901)\/159?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 13*q, -48*q - 49*q + 96*q = 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 120*d**3 + 13*d**2 - 13*d - 17. Let m(f) = 60*f**3 + 6*f**2 - 6*f - 8. Give -6*c(p) + 13*m(p).\nAnswer: 60*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -9, -1, -3, -8\/13, 1306, -0.5?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 48 = -16. Let c = q - -14. Suppose w + 3*w - 28 = 0. Is w smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 1 + 2)*(-2 - 4 + 5) + 0 - 3 + 2 + 2 + 2 - 1 + 0 + 0 - 2)*(4 + 3 - 1 + x) to the form j + d*x and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 13 = u - 17*k, -3*u = -5*k + 1. Suppose -3*j + 2*s = -u*s - 1571, 5*j + 2*s - 2639 = 0. What are the prime factors of j?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-7 + -1) - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**2 + 48*m - 165 = 0.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 181, 2, -74.009 in decreasing order.\nAnswer: 181, 2, -74.009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9065153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 6 (c) 20\/117 (d) 2\/11 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -1550071?\nAnswer: -1550072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -652\/7 (b) 0 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 - 5*f**3 + f**3 + (f**2 - 2*f**2 + 0*f**2)*(1 + f - 1) + 2 - 2 - 9*f**3 as w*f**3 + m + l*f + y*f**2 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/1)\/(1\/4). Suppose 5*u - s = 104 - 74, -2*u - 4*s - 10 = 0. Suppose y = 5*d + 17, 2*d - u*d = -2*y + 20. Are v and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 7*o + 9. Let h be s(-8). Let f = h + 1. Find the second derivative of 5*u + 3*u - f*u - 25*u**5 + 18*u**5 wrt u.\nAnswer: -140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54720256 to the nearest integer?\nAnswer: 7397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1984*l**5 + l**4 - 23*l**3 + 22874*l**2 - 3.\nAnswer: -119040*l**2 + 24*l - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(21\/(-2))\/(7\/(-14)). Let j be 7\/h*-1*3. Let n = 6.9 + -7. Which is the nearest to 1? (a) j (b) n (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, 6, -6.61198, -3.\nAnswer: -6.61198, -3, 0.2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 157, 277, 397, 517, 637?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1698 divide 2243731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 231222136?\nAnswer: 231222137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 181608 and 683004.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 9 - 19 = -2*j, 5*j + 22 = -4*t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 2*g**2 - 1\/180*g**6 - 1\/210*g**7 + 1\/90*g**5 - 1\/1008*g**8 + 1\/18*g**3 + 1\/24*g**4 + 0 + 89*g. Suppose h(o) = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -1647?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 6*a + 2*a + 204, 2*a - 124 = 3*q. Let f be ((-22)\/q)\/((-6)\/4). Which is bigger: f or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 72*z + 738. Determine t(12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 696.405 rounded to the nearest 10?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - 5 - 21675\/(-612)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(2057) + -2 - (5*(sqrt(425) + sqrt(425) + -2) + sqrt(425)).\nAnswer: -44*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 3705, -2, -60 in increasing order.\nAnswer: -60, -17, -2, 3705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1227 divided by 12?\nAnswer: -409\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/14*1*-3\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -273 - -314. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 31*t**3 - 143*t - 8. Let h(m) = -20*m**3 + 95*m + 5. Let i(v) = 5*c(v) + 8*h(v). Factor i(d).\nAnswer: -5*d*(d - 3)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 2:08 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 + -77.3. Put -0.1, -3\/10, -5, j in ascending order.\nAnswer: -5, j, -3\/10, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7557306 - -7557294.4288591. Let o = x - -30.57114132. Let b = 19 - o. What is b rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 19240*z + 26. Let c(l) = -30784*l - 41. Determine -12*c(q) - 19*k(q).\nAnswer: 3848*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 5 + 5)*(j + j**4 - j) - 2*j**5 - 3*j**2 + 3*j**2.\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-14) - 320\/(-70)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -14.42 (c) 5 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 250\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 116118*p**3*s**3 + 13200*p**2*s**3 + 4*p**2*s**2 wrt p?\nAnswer: 696708*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h + 3*h + 10*h**5 - 12*h**5 wrt h?\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 + -2.94. Let r = 0 - -0.5. Let x = -0.5 + r. What is the nearest to 0 in x, w, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -385\nAnswer: -1925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-12))\/(-2 - (-76)\/36). Let c be -2 - (4 + -22)\/3. Let r(y) = 2*y**3 + 2*y + 5. Let o(j) = -2*j**3 - 2*j - 6. Give c*r(l) + i*o(l).\nAnswer: 2*l**3 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 55802*o**2 - o - 1. Let m be p(1). Round m to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhum when four letters picked without replacement from {x: 3, p: 4, y: 3, u: 4, h: 2, m: 1}.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 1 - (-3)\/(6\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 732627329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 + 2 + 52022*v - 51468*v.\nAnswer: 554*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 4*a + 2*a)*(0 + 0 - 2*a) + 3*a**2 + 0*a**2 - a**2 - 3*a**2 + 5*a**2 - a**2 - 2*a**2 + 6*a**2 + 4*a**2 + (1 - 2 + 3)*(a**2 + 0 + 0).\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/67 in 4121, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/364)\/(760\/(-5320))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21283 + 13767. Let d = m + 12736. Round d to the nearest one hundred.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 + x**3 - 2*x**3 + (0*x + 0*x - 2*x)*(-15*x + 4*x**2 + 15*x) - 3*x**3 - x**2 + x**2.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/34584 and -65\/19388.\nAnswer: 1279608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 681.\nAnswer: -2\/681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 94\/5. What is the third biggest value in 3, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 0. Let c = 0.1 + o. Let q = c + 0.4. What is the closest to -0.2 in q, -0.4, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59563*0.3\nAnswer: -17868.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l. Let t be q(-5). Let f = 25 - t. Let a(s) = 7*s - 14. Is 14 a factor of a(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21702283*w**3 - 14*w**2 - 392543*w wrt w.\nAnswer: -130213698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-8 - -6)) + -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 s, and 1 j when three letters picked without replacement from ptppspjjpjtjttpjpjt.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 22*d**2 - 3*d - 60. What is s(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1232*a**5 + a**4 - 3*a**3 + 285*a + 7?\nAnswer: 24640*a**3 + 12*a**2 - 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 614, 2443, 5494, 9767, 15262, 21979, 29918?\nAnswer: 39079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 8:54 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) -5111 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 + 20*c**3 - 892*c**2 - 5588*c + 14520.\nAnswer: 4*(c - 15)*(c - 2)*(c + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-63) + 24\/336?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1331) + 3 + sqrt(1331) + (sqrt(1331) + -1 - sqrt(1331)) + 1 + -3*sqrt(1331))**2.\nAnswer: -88*sqrt(11) + 1347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 26*w**2 + 8*w + 40. Let v = 109 + -84. What is the tens digit of y(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 9) to base 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -22, -70, -168, -334, -586, -942, -1420?\nAnswer: -2038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)*d*d*d**(-7))\/(d*d*d**(-1)\/d)**(2\/41) assuming d is positive.\nAnswer: d**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1227469720 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-8)*(-148)\/(-222)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 4 = 2*j. Let z(t) = -23*t - 3. Let l be z(j). Let r be 36\/l + 2 - 1\/(-5). Solve 11 = 2*n - 5*q - 1, r*n + 24 = -2*q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**6\/120 + 9*n**5\/20 - 29*n**4\/24 - 25*n**3\/6 + n**2 - 60*n. Calculate the remainder when v(-28) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18986130 is divided by 376?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 87397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (160032\/84)\/((-4)\/(-42)) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from ibbibbbbiiiii.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 10*o - 7. Calculate t(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 25*t**2 + 28*t + 56. Let y be v(-26). Sort 0.4, y, -4\/7, 14 in descending order.\nAnswer: 14, y, 0.4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**2 - 4*j + 1. Let u(k) = 8*k**2 - 3*k. Let p(g) = -3*g**2 + g. Let w(i) = -11*p(i) - 4*u(i). Determine -a(z) - 5*w(z).\nAnswer: -z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61523 + 14627 = 5*w + 3*h, 3*w = 3*h + 45666. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 324*u**2. Let c(a) = -15*a + 17*a + 31 - 31. Calculate g(c(n)).\nAnswer: 1296*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*a + 24, 5*m + 5 = -5*a - 10. Let p = m - 8. What is the units digit of (1 - (-2 - p))*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1611575, 1611583, 1611615, 1611683, 1611799, 1611975?\nAnswer: 1612223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6 + -8 + 11 + (-7 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 7*z**3\/6 + 29*z. Give w(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10121 + 10541 = 84*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -192a68 (base 12) to base 4\nAnswer: -1223201300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*i**2 - i**2 + 3*i**2)*(-13*i**2 - 26*i**2 + 30*i**2 - 3*i) to the form l*i + d*i**4 + s*i**3 + p + f*i**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 31*l**2 + 84*l + 173. What is the remainder when d(28) is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -38, -101, -208?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 14) to base 11.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*h**3 - 32*h**3 - 14*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2\/5 - 2595754*b\/5 - 1557456 = 0.\nAnswer: -3, 1297880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 * 20\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -261 + -110056?\nAnswer: -110350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 5*u - 6, 0 = 3*h + 4*u - u - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13*(-17)\/221)\/(-23)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*u**3 - 30*u**3 + 11*u + 4*u**3 + 11*u**3 as j*u**2 + p + q*u + f*u**3 and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 18 = 8*b. Suppose -10*w = -b*w - 84. Let c = 41 - w. Solve 3*x = 2*u - 10 + c, 4*u = -x - 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*(-1*sqrt(121)*-1)\/(sqrt(704) + 2*sqrt(704) - sqrt(704)))*-5.\nAnswer: 5 + 25*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*n**3 + 12*n**3 + 5*n**3.\nAnswer: -19*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.31 + 2.31. Let f = -20 - -17. Let l be 3\/f + 6*2\/20. What is the third biggest value in y, l, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 20*j - 17. Suppose -5*n = -u - 6, -75*u + 70*u + 6*n = -65. What is y(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4071.84, -0.2, 0.02 in descending order.\nAnswer: 0.02, -0.2, -4071.84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 4. Let l be j\/(-22) + (-30)\/(-198). Let o = -26\/105 + -4\/105. What is the closest to l in 1, o, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 102 - 225*d + 201\/2*d**2. Differentiate j(i) with respect to i.\nAnswer: 201","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a + 82. Let z be t(28). What is the tens digit of (-506)\/z - (-16 + 15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by -8 + 4\/4 + 85 - -2?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.04, 1\/2, -4422\/23?\nAnswer: -4422\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -390, -760, -1082, -1332, -1486, -1520, -1410?\n\"Answer: 4*l**3 - 398*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q. Let u be 7 + (8 - (-1 + -49)). Let l = 11 - -52. Let g = u - l. Let z(k) = k**2 + k. What is g*z(h) + n(h)?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -40*f + 320. Let a be c(5). Calculate the highest common divisor of a and 1065.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 11:28 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -110331 (base 4) to base 8\nAnswer: -2475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*d = 74*d - 420. What are the prime factors of d?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13504)\/4220*297\/(-108).\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(11) + sqrt(176))*5 + (sqrt(11)*-2 + -4 - (-2 + sqrt(11) + -3 - sqrt(11)))**2.\nAnswer: -154*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7737535 by -1547507.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -44.8. Let s = 131 + -127. Let x = s - o. Is 2\/37 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 43*l**6\/30 - 23*l**3\/6 + 6*l. Find the second derivative of w(p) wrt p.\nAnswer: 516*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 25. Give y(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 17*o**2 + 3*o - 4. Let u = -13 - -25. What is the least common multiple of d(1) and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 10111000?\nAnswer: 10110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108892 is divided by 2862?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkktkktkktk. What is prob of picking 3 t?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -43*f**2 + 17*f - 14. Let h(j) = 14*j**2 - 6*j + 5. Let m(c) = 11*h(c) + 4*p(c). Calculate m(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3\/7, -6, 1\/13, -1\/4, -22\/7?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 16107*b**3 + 2 - 10*b**2 - 16109*b**3 - 2 as x + u*b**3 + p*b + k*b**2 and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/9 - 20396*t\/9.\nAnswer: 2*t*(t - 10198)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/11047437 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*k + 1 = -4, -2*s - 2*k + 6 = 0. Let r = -640\/2093 - -6\/299. What is the closest to r in -1\/2, 5, s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, s: 2, m: 1, f: 2, k: 2, p: 1}. Give prob of sequence sfz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (192\/(-128))\/((-18)\/(-4))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.07.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*((0 + sqrt(208) + -4 + -4)**2 + 2*(-5*-1*sqrt(208))**2) + 4.\nAnswer: -32007 + 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45638 + -16737. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -15*b**2 + 2*b + 26. Let t be -6 + 4 - 19\/(-1). Let n(w) = -5*w**2 + w + 9. Let x(i) = t*n(i) - 6*p(i). What is the tens digit of x(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 5 = 7*t. Let n = 193 + -202. What is the second smallest value in t, n, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 18 = 5*w, -5*a - 5*w - 19 = -4. Which is smaller: 1\/26 or a?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 932 by -619.\nAnswer: -932\/619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 211038 and 111726.\nAnswer: 1899342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/17 or 18614198?\nAnswer: 18614198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = w - 10 - 1, 0 = -5*j - 15 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 + 73. What is the units digit of (48\/6)\/o + 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 6 + 8)*(-3*l - l + 2*l)*(-2*l**4 - 1 + 1).\nAnswer: 112*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1721 = 8*a - 2839. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 98 and 70335176499?\nAnswer: 70335176401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -589, -564, -541, -520, -501, -484?\n\"Answer: -n**2 + 28*n - 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40 + 38 + 10*m**2 + 9*m**3 + 2*m - 3*m**2 wrt m.\nAnswer: 54*m + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6853180*o**3*s*v**2 + o**3*v**2 + 2*o**2*s*v - 2*o**2*s - o**2*v - 16928*o*s + 47*o*v**2 wrt o?\nAnswer: -41119080*s*v**2 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*z + 2*z. Solve -2*a + s = -s + 16, -1 = z*a + s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c + 1. Let n(v) = 8*v - 4. Let w(f) = -9*k(f) - 2*n(f). Let a be w(-2). Put a, -3, 1, 3 in increasing order.\nAnswer: a, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s**2 - 3*s**3 + 14*s**2 - 18*s - s**4 + 1 - 2*s - 6*s**2 in the form h*s**4 + l*s + b*s**3 + r*s**2 + j and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -93945635.\nAnswer: -1\/93945635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 1:29 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 768 and 140084992?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 25*f**8\/8 - f**6\/30 - 155*f**4\/4 - 2246*f. Find the third derivative of m(u) wrt u.\nAnswer: 21000*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r = 5*r + 6, -11 = 4*d - 3*r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*p - 55 + 55)*(-16 + 12 - 10).\nAnswer: -210*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-10)\/(-63))\/(12\/(-78)) and -115\/154.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.222 + -0.322. Let y = 1.2 - 1. Let c be (2\/18)\/((-2)\/3). What is the closest to m in -4\/5, y, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 4, 60, -33.\nAnswer: -33, -5, -2, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -461 + 960. Suppose -t = -5*a - 29. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r + 4603300 = -9*r + 5*r. Round r to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*y - 15 = -y, -2*p + 3*y = -8. Suppose 4*j = i + 11, 5*i - p = -j + 22. What is the first derivative of 1 - 5 + i + 2*g**2 wrt g?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgsgqtgzxqsggsq. What is prob of picking 2 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17328 + 122672. Round d to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 1 + 9. Suppose 4*y = m*z + 23, 5*y - 11 - 5 = 2*z. Suppose -y*n + 5 = -9. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 3:03 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r + 2. Let p(i) = -8*i**2. What is u(p(q))?\nAnswer: -32*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 37. Let k(n) = -n**2 - 2*n - 2. Let y(r) = -r**2 + 16*r + 15. Let f be y(17). Let l(u) = -u**2 - 2*u - 3. Let v(a) = f*l(a) + i*k(a). Give v(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12718949, -12718951, -12718963, -12718991, -12719041, -12719119, -12719231?\nAnswer: -12719383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q = -357. Let p = -208 - q. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4)\/(2\/(-32)). Let b(s) = s**3 - 4*s**2 - 5. Let m be b(4). Let v = m + u. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-34)*r)**(-2\/39)*r\/(r*r**26*r*r)*r**25)**(-1\/35) assuming r is positive.\nAnswer: r**(17\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from ikeiwywyyeyywyi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + t = 28 - 140, -t + 296 + 549 = -29*m for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2479.\nAnswer: 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**4\/g)*g*g*g\/(g*g*(g**(1\/5)*g)\/g)*g assuming g is positive.\nAnswer: g**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4}. What is prob of picking 3 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1515*w**2 + 16*w + 1516*w**2 + 63*w + 2 + (0 - 4 + 5)*(10*w + 3*w**2 - 10*w).\nAnswer: 4*w**2 + 79*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60264 divided by 186.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (651147 - 651147 + 2737*o)*(0*o**3 + 3*o**3 - 2*o**3).\nAnswer: 2737*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8820942 is divided by 268.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9066, 18287, 27508, 36729, 45950?\n\"Answer: 9221*b - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**3*r**5 - l**3*r**2 + 7*l**3*r + 5*l*r**5 wrt r?\nAnswer: 120*l**3*r**2 + 300*l*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 4977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1712\/2991?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 238474*v**4 + 17*v**3 + v**2 + 7*v + 1263 wrt v?\nAnswer: 5723376*v + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-2) - 1290\/(-105)*(-2)\/4. Let m = 15 + -61\/4. Which is the closest to 0? (a) l (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.414 - 23.\nAnswer: -24.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {k: 1, j: 3, y: 1, o: 1, z: 2, n: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 188 and 2491.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 + -44132022?\nAnswer: -44132102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rogv when four letters picked without replacement from rmoorvogwrrr?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-5)\/(-3))\/1. Suppose 0 = 3*a - 12, -2*b + a - 2 = -b. Suppose 5*j = 2*d - 15, b*d - 4*j - 12 = 4*d. What is the nearest to t in d, 1, -5\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2742 rounded to 2 dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -11*o**3\/3 + 13*o**2 + 17. Find the second derivative of a(r) wrt r.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7)\/2)\/((-1)\/(-12)). Let g = -15 - u. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3\/5 (b) -5 (c) -3.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-11))\/(56\/112)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463014 is divided by 2841.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -106*i - 102. Is n(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 27*x + 29. Let r be s(-1). Which is the closest to r? (a) 2\/15 (b) 5 (c) 3\/4 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxw when three letters picked without replacement from xwcccwpccwwwwcccwx?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 31. Suppose 3*i = -2*n + n - 7, i = -3*n + m. Solve u + 0 = n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 809*a - 2053. Is 50 a factor of s(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-4 - -1) + 1 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 7 + 2 + 4 - t to the form x + a*t and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 10*l + 1. Calculate n(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + 34. Let b(h) = h**2 - 3*h - 4. Let a be b(4). Suppose 82 = o*v + u + 12, -2*v - 3*u + 42 = a. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5*i + 3*i - 4*i - 4.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*((-4*(sqrt(11) + (sqrt(11) - (2 + sqrt(11)))) - sqrt(11)) + sqrt(11) + ((-2*sqrt(110))\/sqrt(10))**2) + 2)*-4 + 3.\nAnswer: -128*sqrt(11) + 1635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -203 (c) 0.1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 411040 to the power of 1\/2, to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 270287*j**3 + 2*j**2 - j + 40436 wrt j?\nAnswer: 1621722*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(-m + m - 2*m)*(-39*m + 101*m - 38*m) + 11*m - 11*m + 8*m**2.\nAnswer: -88*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - (sqrt(8) + (sqrt(128) - 4*sqrt(128)) + sqrt(128)))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 243 - (-5 - -2)\/(-3). Suppose -n = -0*i - 2*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 5*v - t + 6, -2*v - 14 = 4*t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*x - 10. Let g be (-2)\/x*(-5 + 1). Solve 2*t - w = -g, -3*w + 6 = -0*t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74225117.\nAnswer: 23, 1723, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*(-1 + -5*4*4*(sqrt(13) + -1))*3)**2.\nAnswer: -1820160*sqrt(13) + 12879504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 0*w**3 + 0 + 1\/12*w**4 + 0*w**2 - w. Let x(l) = 2*l**2 + l**2 - 7*l**2. Give h(x(s)).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 0\/((2 - 0) + 0). Suppose -5*b - 64 = d*b. Which is greater: -12 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 29*z**8\/48 + z**6\/60 + z**5\/30 - 5*z**3\/6 - 234*z**2. What is the third derivative of t(j) wrt j?\nAnswer: 12180*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m**2 - 36*m + 22. What is the remainder when 439 is divided by i(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/5 of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k*p**3*t**3*w**2 + 88*k*p**3*t*w**2 + 2*k*p**3*w - 4*k*p**2*t**3 - 2*k*w - 2*p**2*t*w wrt w.\nAnswer: 8*k*p**3*t**3 + 176*k*p**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**5\/100 - 61*h**4\/60 - 128*h**3\/15 - 26*h**2 - 1268*h. Factor q(p).\nAnswer: (p - 65)*(p + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**22*w))\/w**(1\/21)*(w**(-1\/14))**(22\/3) assuming w is positive.\nAnswer: w**(-158\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*x**4 - 26*x**3 + 1184*x.\nAnswer: -264*x**2 - 156*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23713338?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1121220230 - 1100?\nAnswer: -1121221330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-24)*-3*(-4 + -2)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -16*n**2 - 20*n**2 + 54*n**2 - 20*n**2. Let y(i) = 15*i**2. Give y(c(o)).\nAnswer: 60*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 474*k + 68 = -478*k, -2*n - 51*k = -87 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7756088131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3125700 divided by -225.\nAnswer: -13892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -832*t**5\/7 - 9312*t**4\/7 - 3156*t**3\/7 + 26456*t**2 + 38388*t + 14112 = 0. Calculate t.\nAnswer: -7, -3\/4, 56\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12504211 (base 8) in base 11?\nAnswer: -163429a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from khhhkhhhkk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: a (base 14) to base 8\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2011867 <= -2011867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*((sqrt(3) + 1)*4)**2 + 0 + (((sqrt(432) - (sqrt(432)*2 - sqrt(432)))*1 + sqrt(432))**2 - (4 + sqrt(120)\/sqrt(10))**2).\nAnswer: -144*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 4:16 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-99 + 3*i + 99)*(3*i**2 + 0*i**2 - 2*i**2) to the form k*i**3 + u*i + c + h*i**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 181807 and 2248.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = 13*s - 13 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -621 - 930 = 83*y - 140 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a century in months?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46148.73km in centimeters?\nAnswer: 4614873000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (-6)\/(-5 + 2). Let p(q) = 1 + q + 4*q**2 - 1 - 4*q + 3. Is p(g) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2715 divide 60261825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.22 and -15122.\nAnswer: -15122.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -6. Suppose -20 = y - 5*v, -y = -4*y + 5*v - 20. Suppose -2 = f - y, n = 4*t + f - 10. Solve -t = -z - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4841896000?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26551422 + -5?\nAnswer: -26551430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 6 (b) 3 (c) 377 (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34574291.\nAnswer: 3067, 11273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*g + 23*g - 60. Suppose g*o + 326969 - 71969 = 0. Round o to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -23 - (-348 - -485)?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 935.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 23*b - 3*u = 44084, 17638 = 2*b + u. What are the prime factors of b?\nAnswer: 2, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 292*z**3 - 90*z**3 - 10*z - 2*z**2 - 102*z**3 - 95*z**3 - 1 as y*z**2 + x + u*z + n*z**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -984*l**2*z**2 + 3*l**2 - 78*l*z wrt z.\nAnswer: -1968*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 1:07 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 10*t**2 - 38*t - 37*t - 2 + 77*t. What is k(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, q: 1, u: 14}. Give prob of picking 2 u.\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 199587132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163772 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-4)*5248\/(-738)*-162. Suppose 3*k + 5*b - 50 = 79, 4*k - 195 = b. What is the highest common factor of k and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from {f: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**5\/2 + 5415*i**4\/2 - 10849*i**3\/2 - 81223*i**2\/2 + 86664*i - 43336 = 0.\nAnswer: -5417, -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 217\/14)\/(-8)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njnhfffjnnjfhnhfjfn. Give prob of sequence jnf.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s + 18*s - 5*s**3 + 15*s**3 + 24*s**3.\nAnswer: 34*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least 1\/197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5, 0*a - 2*o = 4*a - 14. Suppose 2*t - 9 = -2*x + x, a*x + 4*t = 32. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -4. Let r(h) = 978*h**2 + 15*h - 13. Let s be r(b). Suppose 0*y = 4*v - 3*y - 187997, y + s = 3*v. Round v to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6309271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 756 + -534. Let k be l\/11 + ((-12)\/(-22))\/(-3). What is the highest common divisor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -299 divided by 127.\nAnswer: -299\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.35582kg in nanograms?\nAnswer: 37355820000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -480294 divided by -2?\nAnswer: 240147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 - 97*q**2\/4 - 1509*q\/4 - 4995\/4.\nAnswer: (q - 111)*(q + 5)*(q + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58 - 74 - -35) + 138?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-4)*(-2)\/(-2)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5902799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/30*6\/7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g**2 - 788*g - 37. What are the prime factors of c(-64)?\nAnswer: 17627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, 3, 2 in decreasing order.\nAnswer: 95, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(1584) - ((-4*sqrt(1584) + sqrt(1584) - sqrt(1584)) + sqrt(1584)))*6.\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 2*z**2 + 8*z - 13. Let i be b(4). What is the highest common factor of 408 and i?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 7:20 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 9:30 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*2*1 + sqrt(1100)*-1*3)*-2.\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*(-4 + sqrt(128)))**2 - (6*-3*sqrt(2) + sqrt(12)\/(sqrt(6)*-2)).\nAnswer: -165851*sqrt(2)\/2 + 186624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + a + 40. Suppose 2*o = 2*u, o = 2*u - 4*o. Let d be p(u). Let s = 18 + -13. What is the greatest common factor of d and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 68 - 60. Let a(z) = z**3 + 4*z**2 - 7*z - 5. Determine a(x).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-376)\/(-1316))\/(-1 + 898\/896) and 150?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - g**3 - 5 + (-2*g**3 + 7*g**3 - g**3)*(8 + 3 + 10).\nAnswer: 83*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53874379?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 34*g - 3 - 35*g - 1. Give q(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 816 + 154. Round y to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011387168 rounded to five dps?\nAnswer: 0.01139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15240 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 110?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241, -250, -273, -316, -385, -486, -625?\nAnswer: -808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-131)\/(-24))\/(111*14\/(-161)). Let s = -3\/1342 + -343\/446886. Let z = k - s. What is the common denominator of z and -9\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26665 (base 9) to base 5\nAnswer: 1034131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, 342, 491, 616, 711, 770?\nAnswer: 787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -1.78345.\nAnswer: 0.535035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2*12\/(-3). Let a = f - 0. Find the first derivative of 0 - 3*l - a + 1 wrt l.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - i - 5*y + 34, 0 = 4*i + 5*y - 47. Suppose 5*n = n + 20. Suppose 58 = n*t + 23. What is the remainder when i is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - (-10 + (4 - 7) + 27 - 5)) + -5.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o + 7. Let t(d) = -24*d + 34. Let g(x) = 3*t(x) - 16*z(x). Calculate the remainder when g(5) is divided by 16\/(-3)*6\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5751*w**3 - 2*w**2 - 52*w + 54. Let z be x(1). Let m(i) = -362*i**2 + 3*i + 1. Let k be m(3). Let q = k - z. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17903740, 35807476, 53711212, 71614948, 89518684, 107422420?\nAnswer: 125326156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5634, -5133, -4632, -4131?\n\"Answer: 501*t - 6135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 144772 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.32 + 0.02. Let w = 2.6 + -3. Let t(l) = -l**3 + 2*l**2 + 3*l - 1. Let p be t(3). Which is the closest to 1? (a) w (b) d (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, i: 4, z: 4, b: 1}. What is prob of picking 2 i and 1 r?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 280 = 10*o. Which is bigger: o or 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -4*l**5\/5 + 10*l**4 - 44*l**3 + 80*l**2 - 64*l + 42. What is t in d(t) = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/52*(-2964)\/2128.\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 110*h + 370 = 0, -7*t + 34 + 4 = -2*t - 2*h + 4 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3746435)\/29193*(-3)\/5\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -201120100121?\nAnswer: 201120100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1.287 (b) 3 (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.136 - -0.806. Let s = 0.03 + v. Let t = 0.6 + -0.4. Which is bigger: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1104308, 1104329, 1104366, 1104425, 1104512, 1104633?\n\"Answer: f**3 + 2*f**2 + 8*f + 1104297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q**4 + 67984*q**2 - 40*q + 451198 wrt q?\nAnswer: 36*q**2 + 135968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7856878t in nanograms?\nAnswer: 785687800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0 (c) -2\/13 (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 - 7*z - 3*z**2 + z**2 + 2*z as t + y*z + c*z**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 133812689*q - 133812689*q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {u: 5, q: 15}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2 + 6 = 0. Suppose 5*l = -10, -2*z - s - 9 = 5*l. Sort z, 2, -5 in decreasing order.\nAnswer: 2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 144912? (a) 2\/15 (b) 2 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18a2c (base 13) to base 8.\nAnswer: 135371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in minutes?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/(p*p\/(p\/(p*p*p**(-3\/7)))))\/p))**(-27)*((p*p**(-3\/7))\/p)**49 assuming p is positive.\nAnswer: p**(-822\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 16*q - 5. Give r(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j - 2*j + 26*j**3 - 7*j.\nAnswer: 26*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1101000011?\nAnswer: -1100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**3 - 21*n + 16*n**2 + 2*n**2 + 12*n**2 + 2 - 34*n**2 to the form y*n**3 + u*n + g + c*n**2 and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 40*u = -31*u - 6489 for u.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3 - 110*g + 9*g + 4. Let l be h(-1). Let a(w) = w**2 + 9*w + 7. Let b be a(-10). What is the greatest common factor of l and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258\/(-2236)*8\/(-6).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from qwf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66.1315 or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -4, 1\/2, -10, 5 in ascending order.\nAnswer: -10, -4, 0.03, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3301010 (base 5) to base 10\nAnswer: -56380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2. Calculate the smallest common multiple of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-1)\/(-1)*8\/(-140)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/5)\/(-32)*8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0, -20, -39\/7, 0.04, -0.014, -12, 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = -4*r + 4*b, -4*r - b = -4*b - 167. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.06 + -65.06. Let r = 54 + c. Sort -5, 1\/5, 0.3, r in ascending order.\nAnswer: r, -5, 1\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228099 to the power of 1\/2, to the nearest integer?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7594222 is divided by 3797063?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by -6\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2 + 4*h**2 + 5*h**2 - 2*h**2. Let x(k) = k**2. What is x(c(j))?\nAnswer: 121*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-7 - (-11 - -9))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3133*h**3 + 3081*h**3 - 6235*h**3.\nAnswer: -21*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1565 + 148. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 3*s = 0. Solve s*o - 4 = -2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -4, -0.3, -0.1, 7, -2\/11, 35, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 23 - 74 + 60175*k**3 + 26.\nAnswer: 60175*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6889*m + 185525 = -234704 for m.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11925, 47611, 107091, 190365, 297433, 428295?\nAnswer: 582951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-42) - 44\/(-6). Suppose 0 = -4*j + n*j - 30. What is the lowest common multiple of (-1 + (1 - 1))*-6 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -122408?\nAnswer: -122405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from fdwrqqdrl.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*j - 90*j + 120*j.\nAnswer: 149*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1953538\/21 not equal to -0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -515 (base 10) in base 3?\nAnswer: -201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6 + 5 + -11 + -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17, -3, -37, -85?\n\"Answer: -7*i**2 + i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/6 - -9*(-4)\/12.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 3:29 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -10843*o + 10844*o + 4, 2*g + 2*o + 4 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 5:33 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 1. Let s(i) = -3*i**3 + i**2 + 2*i + 4. Calculate 2*p(j) - s(j).\nAnswer: j**3 - j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 118 = -82. What is the lowest common multiple of 4 and p?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/32 and 47\/240248.\nAnswer: 960992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -1887*w - 1900. What are the prime factors of a(-9)?\nAnswer: 15083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -15*q. Give m(2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-1.01.\nAnswer: -4.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhuu. What is prob of picking 2 h and 1 u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 212 + -214. What are the prime factors of (-21)\/n*520\/70?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*y + 81*y + 77*y.\nAnswer: 212*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -670.\nAnswer: 2\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43202.728 + -0.2?\nAnswer: 43202.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -19*a**2 - 80*a - 12. Let f be m(-4). Factor 1\/6*n**3 + 1\/2*n**2 - 5\/6*n + 1\/3 - 1\/6*n**f.\nAnswer: -(n - 1)**3*(n + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -2. Suppose -5*z - p*y = -20, 0 = -2*y + 6*y. Calculate the remainder when 9 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (8 + -12) - -30 - -56.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.079 - -35.3124.\nAnswer: 35.3914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 12:42 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/34 or 0.069?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1151 + 1153. Which is the fourth smallest value? (a) 5 (b) 0.4 (c) h (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5697 times 4.3\nAnswer: -24497.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 5) + (2 - (-3 + 9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43560479\/35370 + 495761\/262. Let i = k + -1982\/3. Let f be ((0\/(-1))\/2)\/(-1). Is f at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/4 + 99960*j**3 - 26647536357*j**2\/2 + 592174804128462*j - 78109050178635597\/4.\nAnswer: -(j - 133269)**3*(j - 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**5\/60 + i**4\/8 + 40*i**2. Give l(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -1 + (79 - 69)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3094, -6218, -9364, -12538, -15746, -18994, -22288, -25634?\nAnswer: -29038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 319260 divided by 60.\nAnswer: 5321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, b: 1, n: 6, i: 5}. Give prob of sequence ni.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1014916*z + 5*n + 24 = -1014920*z, 3*n = 5*z - 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 4\/111, -2\/5, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 120935460*d**5 - 49655109*d wrt d?\nAnswer: 2418709200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 24 = 3*l. Let g be -10*2*(-3)\/l. Suppose -2*i + 4 = g*w - 53, -38 = -3*i + 2*w. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.4. Let p = y + 0.3. Let d = -0.58 + 0.58. Which is the closest to d? (a) 0.3 (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 192316449 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*m**5 - 65*m**5 + 101*m + 93*m + 27*m - 128*m**5 + 1 wrt m.\nAnswer: -3440*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(-42)*x\/x**(-1\/4)*x**(14\/9) assuming x is positive.\nAnswer: x**(-1411\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*o + 77*o + 3*v = 12, -20 = 3*o - 5*v. Solve -4*b + q + 15 = 0, o*b + 2*q + 3 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -8*t - 24 + 57*t**3 - 4*t**3 + 0 + 0*t + 3*t**2. Let r be s(-7). Round r to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = -2*h - 33*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by 50?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = -5. What is the third derivative of -5*o**2 + 37*o - 37*o - b*o**3 wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1045 - 2020. Find the common denominator of -46\/11 and v\/(-1215) - 2\/27.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 315340 and 63068.\nAnswer: 315340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 7:22 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*j + 4*l, -4*l - 32 = 15*j + 53 + 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313 = -4*r - 265. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4159*m - 3*m**2 - 4159*m + 20*m**2. Let r(h) = -34*h**2. Calculate 3*r(l) + 7*t(l).\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11\/3, -389, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-2 + 7) + (36 - 36). Solve 8*i = g*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16487 - -16475) + (-2 - -4 - 4) + -13.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 496196 and 18972.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2074701, 2074705, 2074709, 2074713, 2074717?\nAnswer: 2074721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + 2*c**2 - 3*c**2 + (-108*c - 58*c - 50*c)*(2*c - c + 2*c).\nAnswer: -650*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 + 0. Let l = 1.4 + g. Let t = -2.1 + l. Which is the third biggest value? (a) 3 (b) -1\/6 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -29. Let z = 1 - 1. Suppose z = 3*y - v*y + 9. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 206058370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((176\/33)\/((-4)\/(-6)))\/((-1)\/2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one quarters of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*r + 5*r = 176. Solve -16 = r*n, -3*z - 2*n - n - 9 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 0, 1384, -5, 2 in descending order.\nAnswer: 1384, 4, 2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1305.8101 + 1252.815. Let q = h + 53. Round q to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 191 and 16729117.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152337411?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 2*b + 4*c, -b - c = -5*b + 68. Let s = b - 16. Is s equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -241 - 46*p**2 - 53*p**2 + 229 + 32*p**2 wrt p.\nAnswer: -134*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69 + 12*j + 8*j - j + 10*j - 68 to t*j + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 - y - 2. Let c(p) = -p - 1. Let d(u) = -3*u**2 + 19*u + 71. Let r be d(9). Calculate r*o(k) + c(k).\nAnswer: 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*6*(-1 + sqrt(2299)) + 2.\nAnswer: -16 + 198*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p + 16*p + 3 - 24*p - 89*p**3. Let d be o(1). What is d rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-8) - ((-6039)\/(-2728))\/9. Let v = n - 63\/248. What is the fourth smallest value in v, -2\/7, 7, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 11 - (-37 + -8 - -110)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r - 1. Let v be x(-1). Let y(z) = -z**2 + 6*z - 3. Let f be y(5). Let h = f + 0. Sort v, -0.2, h in increasing order.\nAnswer: v, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 4*z + 3*z)*(-2 + 2 - 4) - 17*z + 744 - 744 + (-3*z + 5*z + z)*(0 + 0 - 2) + 2*z - 5*z + 2*z.\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 170.6794, 0.6, 3\/4, 6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 14) to base 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 + y**3 + 0*y**3)*(3 + 1 - 50)*(30*y**2 - 15*y**2 - 18*y**2).\nAnswer: 276*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8981673ms in microseconds?\nAnswer: 898.1673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17\/26 in 2\/5, -2\/17, -8, -0.1, 0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -1, -1\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, r: 1, z: 1, d: 1, c: 3}. Give prob of sequence lrz.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4108)\/316 - (-91)\/6) + 3\/2.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 1544*k - 12480.\nAnswer: 2*(k - 8)*(k + 780)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + p - 16 = -0*y, -24 = -2*y + 4*p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -19 (b) 3 (c) 2\/19 (d) 36.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9398369 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -290\/397 equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 161882 or 161885?\nAnswer: 161885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 98?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + 500632263?\nAnswer: 500632250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -363.5 + 358.3. Let h = 1567070.800062 + -1567076. Let r = b - h. Round r to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 13*u - 7*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-8)*i)\/((i**(2\/11)\/i)\/i))**(-1\/70)\/((i*i**(-1)*i*i*i**(-3))\/(i\/(i\/((i\/((i**(1\/4)\/i)\/i))\/i*i))*i)**(2\/45)) assuming i is positive.\nAnswer: i**(1136\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k = -37*k - 3612. Is k not equal to -516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/5 (b) 0.1 (c) -1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 6:31 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 220878*b + 5744180.\nAnswer: -2*(b - 26)*(b + 110465)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 11:31 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12619 + 3199 = 628*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -580 divided by 4.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m**5\/17 - 13204*m**4\/17 + 209826*m**3\/17 + 416002*m**2\/17 - 142312*m\/17 - 58248\/17 = 0. What is m?\nAnswer: -2, -1\/4, 1\/2, 18, 809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 13956*c**2 + 5332320*c - 541371600.\nAnswer: 4*(c - 3069)*(c - 210)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 27) + -10 + 31.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**0*c))**(-5\/6)\/(c\/c**(1\/2))**(-1\/17) assuming c is positive.\nAnswer: c**(44\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**5\/21 - 9466*i**4\/21 + 114424*i**3\/3 - 7568222*i**2\/21 + 14815964*i\/21 - 802208\/3 = 0 for i.\nAnswer: 1\/2, 2, 8, 77, 2279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -283, -386, -667, -1216, -2123?\n\"Answer: -15*i**3 + i**2 - i - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 9*j + 2035 = 2041, 10 = -4*w - 2*j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 5*d = 7*d. Solve 3 + d = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -877\/102 - -132\/17. Which is the fourth smallest value? (a) 1\/7 (b) -2\/9 (c) -22 (d) 1\/8 (e) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1202993.\nAnswer: 11, 109363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 739.4312 meters to kilometers.\nAnswer: 0.7394312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 100 = -s. Calculate the highest common factor of 590 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**5 - 11*g**4 + 15*g**3 + 31*g**2 - 58*g + 24 = 0.\nAnswer: -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-10) - (-44084)\/20. Let v = 4075 - g. Let q = 2791 - v. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t = -31*t - 25756. Suppose 2*k + 13656 = k. Let s = t - k. What is s rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -21*g. Let z(d) = -2*d**2 - 8418*d. What is z(x(s))?\nAnswer: -882*s**2 + 176778*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 11 - 3 - 2 - 27*v**3 to the form c*v + a*v**2 + g + k*v**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 33217152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3*i**5\/4 + 15*i**4\/4 - 3*i**3 - 33*i**2 - 36*i = 0.\nAnswer: -4, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/(-1155)*(-18788)\/(-28)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (3 + 3*sqrt(2299) + ((sqrt(209) + 1*sqrt(209))\/sqrt(11) - (sqrt(19) - (1 + sqrt(684) + sqrt(19)))))*-1)**2.\nAnswer: 574*sqrt(19) + 31988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1428 and 1428.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 12:29 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -135803.98 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 110?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 396, 18, 2 in decreasing order.\nAnswer: 396, 18, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((6 - 6) + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**5 + 159*x**3 + 967*x wrt x?\nAnswer: 40*x**3 + 954*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 + i**2 + i + 5. Let q be n(-3). Let f = q - 21. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, e: 9, b: 2, f: 4}. Give prob of picking 2 k and 2 b.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2893*w - 2676. What is the hundreds digit of k(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.05616, 3\/4.\nAnswer: -0.05616, 0.3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 106126842 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1656\/352 - 6) + (-3)\/(-4)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 64 = 6. What is the remainder when 95 is divided by -1*(-68)\/g*(29 + -36)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -8*y**3 - y**2 - y - 1. Let z be g(-1). Let u = 6609 + -2415. Suppose u - 39474 = -z*m. What is m rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -662*f**3 - 129*f**2 + 40431 wrt f.\nAnswer: -1986*f**2 - 258*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 9 = -o. What is the remainder when o is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*u - 1, 2*u - u = -5*c - 7. Let n be (c\/(-1))\/(-2*1\/(-4)). Find the third derivative of 28*h**4 + 13*h**4 - 3*h**2 - 34*h**n wrt h.\nAnswer: 984*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1242 and -1241 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -248673.\nAnswer: -1740711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 4, m: 6}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15, 162, 523, 1206, 2319, 3970?\n\"Answer: 18*k**3 - k**2 + 24*k - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3421, -2, 0, 7, 0.2 in decreasing order.\nAnswer: 3421, 7, 0.2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 6. Let l = 324.4 + -324. Sort -1, x, l in increasing order.\nAnswer: x, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 - 178 = -109*l + 128 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4993731 months?\nAnswer: 0.000041614425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52 + -550?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6112, 12229, 18334, 24427, 30508, 36577?\nAnswer: 42634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g - 273. Does 29 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -12. Suppose 8 = 2*y + x. Solve -3*f = 4*g + 6, -y*f - 2*g = 3*g + 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28480, -114100, -256800, -456580, -713440?\n\"Answer: -28540*j**2 + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 3. Let q be v(2). Solve -5*m = q*b + 5, 0 = -0*m - 2*m + 4*b - 14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -18. Suppose -2*u + k*u = 92. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.15768 from -645854.\nAnswer: -645857.15768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/(-6))\/((-1)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2194 + -2195. What is the fifth biggest value in -3, -7, -1\/4, -2\/11, o?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6*f - 106. Calculate s(15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 0*w**4 + 2*w**4 - 3*w**4 + 0*w**4 - w**4 + 3*w**4 + (-3 + 2 - 2)*(4*w**2 + 4*w**4 - 4*w**2) - w**4 + 3*w**4 - w**4.\nAnswer: -10*w**4 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28006353 or -28006352?\nAnswer: -28006353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8173 is divided by 94?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77235.67km to centimeters.\nAnswer: 7723567000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 35.8. Put y, 0.5, -1\/6 in decreasing order.\nAnswer: 0.5, y, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8284 and 50628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-32 + -3 + 2)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -6*(sqrt(72) - sqrt(72)*-1) + sqrt(72))\/sqrt(6)*-3.\nAnswer: 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37905347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 169583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*k + 6608, k = -3*v + 6*k + 9914. Let n(c) = -3303 + v + c. Let r(q) = 4*q. Give -11*n(p) + 2*r(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.024 + -0.045. Let d = v - -0.02224. Round d to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00031779683 rounded to 6 decimal places?\nAnswer: 0.000318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 7, -0.2, -0.6, 5\/2, 0.3, -59?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 - 51. Differentiate -39 + r + 4*r - 9*r + l*r + 2*r**2 with respect to r.\nAnswer: 4*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 512\/5 + 1536\/5*m + m**4 + 102\/5*m**3 + 136*m**2 = 0.\nAnswer: -8, -4, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + u = 0. Let n = -39 - -124. Suppose -6 = 2*c, u*c = 4*p - 3*c - n. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000089645 to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/((-2)\/12)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 861805218 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + -144a2?\nAnswer: -14491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-531)\/12)\/(255\/(-40) + 6). Let r = h + -116. Solve -r*q + 10 = -7*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 160 and 22.3115?\nAnswer: 3569.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - (1 + sqrt(832)) - (-2 + sqrt(52))**2) + 2.\nAnswer: -55 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57812*q**2 + 17 - 57799*q**2 + 17 - 34.\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583883244?\nAnswer: 2, 3, 7, 23, 131, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.25, -133, 50, 1.2 in descending order.\nAnswer: 50, 1.2, -0.25, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20066717657 - 718.\nAnswer: -20066718375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a + 4. Let c(d) = 7*d + 3. Let g(q) = 5*c(q) - 4*w(q). Suppose 50 - 24 = -13*b. Calculate g(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 246, 357, 548, 825, 1194, 1661, 2232?\n\"Answer: z**3 + 34*z**2 + 2*z + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2074, 8253, 18540, 32935?\n\"Answer: 2054*o**2 + 17*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -537, -557, -601, -681, -809, -997, -1257, -1601?\nAnswer: -2041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*(sqrt(68) + sqrt(68)*1*1))\/(sqrt(144)*2 + sqrt(16)*-3).\nAnswer: -5 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1197)\/(-684))\/(77\/(-2596))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.52 + -0.02. What is the closest to g in -2\/9, -0.5, -2\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24946 + 24955 = -3*i, -49*b = -2*i - 55 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9959 - 5559. Let i be 87861\/20 - (-2)\/8. Let w = i - y. Find the common denominator of 61\/2 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154488 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 14616 = -2*z, 3*s + 0*z = 10*z + 21833. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 5)*((-64*h + 66*h + 97*h)*(0 + 14 - 3) + h + 3*h - 2*h)*(5*h - h - h) to the form j*h + p + x*h**2 and give x.\nAnswer: -6546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-172935)\/(-98))\/135)\/(4\/14)*12\/(-9)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**2 - 10*o + 1 + 1\/24*o**4 + 5\/12*o**3. Find u such that l(u) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obqaarwq. What is prob of sequence qaw?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 63. Suppose -4*h + 3*l = -d, -69 = -h - 4*h - l. Calculate the highest common factor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**3\/6 - w. Suppose 3*i + 7 = -2. Let n = -4 - i. Give l(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*k + 32 = 0, -2*k = 5*d - 5*k + 46. Let i be (-2)\/d + (-31)\/(-4). Solve -4*x + 3 = -b, -3*x + i = x + 4*b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275680352?\nAnswer: 2, 311, 27701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -3 + (2419 - 38). What is the highest common divisor of 54 and r?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 47 - 1. Let h(z) = -z**2 + 9*z - 4. Let c be h(5). Let g = c + -7. What is the remainder when n is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(l**2 - l**2 + 2*l**3) - 9*l**3 + 19*l**3 - 2*l**3 + 0*l**3 - l**3 + 2*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 335224.0552 to the nearest 100.\nAnswer: 335200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*j - 5*f, 3*f - 26 = 2*j - 6*j. Suppose -j*r = -2*r + 18. Let x(h) = h**2 + 4*h - 8. Let u be x(r). Solve 0 = 2*v - u*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4464\/(-72) + 62)\/(-2). Let h be 6*2\/9*3. Suppose -h*w = -3*w. Solve -5*u + s - 4*s - 25 = m, w = s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 84.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 373, 5, 2811, 0 in decreasing order.\nAnswer: 2811, 373, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 134 = 2*f + 47, -62 = -2*f + 4*t. Suppose f*m = 3*m + 11400. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-11)\/44*6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2261, -8999, -20211, -35897, -56057, -80691?\n\"Answer: -2237*p**2 - 27*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1*sqrt(1088) + 4 - sqrt(1088)) + -5).\nAnswer: 1 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 33.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 9. Let c(m) = m - 17. Let f(d) = 6*c(d) + 11*g(d). Let n(u) = 2*u**2 - 11 + 11. Give n(f(y)).\nAnswer: 50*y**2 + 60*y + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2706?\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -5)\/(11 - (8 + 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 8:15 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and 0.19938.\nAnswer: 2.79132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 581.0047ns to milliseconds.\nAnswer: 0.0005810047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 - 13*x - 349 - 4*x**3 + 6*x**3 + 14*x.\nAnswer: 2*x**3 + 5*x**2 + x - 349","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2862 + 3898. Suppose 7*q - 3*q + m = 0. Let k be q\/(-30) + 4\/6. Calculate the highest common divisor of 19 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g - 8*g + 3*z - 17, 0 = 4*g + 3*z - 25. Solve 0 = -h + 2, -19 = g*q + h - 41 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 33*h - 7. Calculate the least common multiple of 36 and a(13).\nAnswer: 7596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 11 = 32. Let f(z) = z**2 - 6*z + 1. Let l be f(o). Suppose 37 = 5*c - 2*v, 9 = 3*c + 4*v - l. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s + 10580*s**2 + 15*s - 10579*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + -13. Let f = -21 - -74. Let t = x + f. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -185 - -184.7. Which is the second smallest value? (a) -3 (b) 1.4 (c) f (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + -1)\/(-4)*4. Suppose 5*q = 7*q - t. Solve 0 = 3*p - 3*k - 24, -q*p = -0*k + 2*k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.8 and 2.52.\nAnswer: 1.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from nwnccnnnxxcnnncwnwn?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 10*g - 17. Let j be z(-7). Let q(o) = o**3 - 5*o**2 + 5*o - 4. Let l be q(j). Solve l = 4*i + t - 3, -3 = 2*i - 2*t - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q**3\/5 + 153*q**2 + 10773*q\/5 + 39984\/5 = 0. What is q?\nAnswer: -112, -17\/2, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 379*q**2 + 1016*q?\nAnswer: 758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o**3 - 6*o**2 + 6*o - 6. Suppose 2*b - 5 = -3. Let a(t) = t**3 + t**2 - t + 1. Calculate b*i(p) + 6*a(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5749538 or 5749540?\nAnswer: 5749540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 186779189 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n**5 + 286720*n**4 + 4018015*n**3 - 215035*n**2 - 3085180*n - 1004500 = 0 for n.\nAnswer: -14, -1\/2, 1, 14350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 32.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = 0, 7*l - 3*l - 38 = 5*n. Sort -3, 2, -5, l, 1 in ascending order.\nAnswer: -5, -3, 1, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 18*k - 42 = 0, 78*b = 74*b - 6*k - 34 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -75*c + 61*c + 1246. Suppose c + 756 = 13*n. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*33\/176*(-5)\/30?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-2*c + 3*c + c) - 1 + 2*c + 1 + 0*c - 2*c + 3*c - 3*c - 8*c + 5*c - c - 2*c + 4*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 151*q**3 - q**2 - 906*q - 2 wrt q?\nAnswer: 906*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 292, -0.2.\nAnswer: -2, -1, -0.2, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 27846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-10))**(1\/74) assuming x is positive.\nAnswer: x**(11\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 z when four letters picked without replacement from qiqqziiqvsqtqvtii.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.9977 times -897?\nAnswer: -68169.9369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44.3 + 44. Let y = 0.41 + -0.01. Let t = y + -0.4. Which is the third smallest value? (a) w (b) t (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.3 + -3. Let j = -0.04 + -0.36. Let q = 24 + -28. Which is the third smallest value? (a) q (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1122 by -1.\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1320)\/9591 + 3185\/442715?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -24221*f**2 - 1545. Let s(d) = 12065*d**2 + 772. Let v(c) = 6*i(c) + 13*s(c). Differentiate v(n) with respect to n.\nAnswer: 23038*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12718292 divided by 4\nAnswer: 3179573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*n - 138*n + 2*y = 9734, -4867 = -n + 4*y. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kssssskmsmskmskkm. Give prob of picking 2 k.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 450951 divided by 150317\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 756151515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1156*n - 7. Let s(b) = -825*b - 5. Let f(z) = 5*o(z) - 7*s(z). Let g(w) = 1039*w + 1. What is f(g(d))?\nAnswer: -5195*d - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -32, -65, -96, -125, -152, -177, -200?\n\"Answer: y**2 - 36*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -458330*c - 242868*c - 582163*c.\nAnswer: -1283361*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/15 - ((-3586)\/30)\/11. Let h = -1.8 + -0.2. Which is the smallest value? (a) i (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2632*p**2 - p - 10.\nAnswer: -5264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 22*t - 1060. Let b(s) = s**3 + s**2 + 60. Let v be b(0). Is v greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-six fifths of a century?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/2)*c)\/(c\/(c**(-6)\/c)))**12 assuming c is positive.\nAnswer: c**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.3, 2, 2\/7.\nAnswer: -0.3, -0.1, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 m, and 1 b when three letters picked without replacement from qbpppbmpqprbpbpqrmp.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iikkkiioiikckhkkc. What is prob of sequence kcoi?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 4:07 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 30*j**2 - 267*j + 7269. What is l(31)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(5\/3)\/(s*s\/(s*s**(-2\/7)\/s*s*s))*s**(-5)*s*s**(-12\/11) assuming s is positive.\nAnswer: s**(-857\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -615*i - 12910. Calculate y(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 7. Let b be ((4*s)\/(-2))\/1. Suppose 3*n - 5*y = -1, -b*n - 3*y = 3*n - 21. Solve -p - 3 = -z, 3*z - n*p = z + 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1579.39 and 0.15.\nAnswer: -236.9085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/20350 and 36\/11.\nAnswer: 20350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q - 1. Let z be b(3). Let k be (-6)\/(-12)*(z - 0). Suppose -2*t - k*l + 46 = 0, 8*l = -2*t + 3*l + 49. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-6))\/(1\/(-12)). Suppose p*g - 512 = 68. What is the highest common divisor of 58 and g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*l + 74*l - 32 = 0. Which is the nearest to 0? (a) 0.1 (b) 0.4 (c) l (d) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 491117*d - 53. Let s be g(9). Round s to the nearest one hundred thousand.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 6:15 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j**(-8)\/j)\/j*(j\/j**4)\/j)**31\/(j**(1\/3)\/(j*j**4\/j)*(j**(-1\/4))**(-2\/9)) assuming j is positive.\nAnswer: j**(-7189\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17560591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1, 1, 3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + 3 + -1 + (1 - 5). Let f(d) = d + d + d - 4 - 6 + d**2 - 5*d. Give f(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 484819138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -8*m**3 + 9*m + 21. Suppose 2*w - 1 = 3. Let z(x) be the first derivative of -x**4\/2 + x**2 + 5*x + 14. Calculate w*p(t) - 9*z(t).\nAnswer: 2*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-4 + (0 - -8))) + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 49. Solve p + w*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 170, 215, 278, 365, 482, 635?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*t. Suppose -g + 4*g**3 - 2*g**2 + t*g**3 - 5*g**3 = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/210 and -7\/12258270.\nAnswer: 85807890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381*k - 378 = -6093 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3750495474 and -0.5.\nAnswer: 3750495473.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 16 + ((-15)\/10)\/((-2)\/4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108185 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*a + 155, -93 = 7*d - 10*d + a. What is the remainder when d is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127950 + 127951.22179. Let q = c + -1.247. Let d = -0.025 - q. Round d to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, b: 1, v: 5, a: 2, j: 3, r: 1}. What is prob of picking 2 n and 2 v?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-3)\/6 + 190. Suppose 5*v = -5*p - 59 - c, 2*p + 75 = 3*v. Let g = p - -44. Is g != 1\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*(-138)\/(-2415) - 1047\/21?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 566 - 618 - (-4 + 54).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*h + 0*h - 2 + 8*h**3 - 11*h - 2*h.\nAnswer: 2*(h - 1)*(2*h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/(-17) + -154*(-3)\/(-150).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.5*220.528.\nAnswer: 551.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/9 and 3\/(-15) - (-976)\/(-220).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 310 and 890940?\nAnswer: 890940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4*p + 44, -4*j + 18 = -5*p - 82. Let i be 24\/(-27)*5\/j. Which is the nearest to i? (a) 5 (b) -0.4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-9) - 6\/(-27). Find the third derivative of y**4 + j*y**4 - y**4 - 6*y**4 - 9*y**2 wrt y.\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -597 = -5*q + h, -h = -5*h + 12. Let a = q + -117. Let o be a\/9 - 8*4\/204. Are o and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*z - 2*y, -3*z - 48*y + 21 = -52*y. Calculate the remainder when 150 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -189, 20\/3, -2\/3 in descending order.\nAnswer: 20\/3, -2\/3, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*f - 4*f - 223 + 64 = 0. Let k be (-4)\/(-6)*3 + -1. Let r be k*(1 - 2\/(-1)). Solve -r*o = f - 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/5 + (-1632)\/(-1680). Which is the closest to -2\/11? (a) -0.3 (b) z (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 1 - 1)*(0 - y + 0) - 148*y - 49*y**2 + 130*y + 23*y**2.\nAnswer: -28*y**2 - 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*o**5 - 3800114*o**4 + 9120194*o**3 + 8360210*o**2 - 4560108*o = 0. Calculate o.\nAnswer: -1, 0, 2\/5, 3, 380009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -120*r**2. Let i(o) = -30 + 64 + o + 4*o - 34. What is y(i(j))?\nAnswer: -3000*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 3*a + 2. Let x(i) = -3*i**2 + 7*i - 5. Let g(v) = -5*t(v) - 3*x(v). Let b be g(-7). Let c = 4 - b. Solve -5*w + c = -9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.8798961031 minus 187.8?\nAnswer: -158.9201038969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 11*b - 8. Suppose -2*c = 1 - 3, -5*k + b*c + 136 = 0. Suppose -z + 0*z + k = 0. What is the least common multiple of 14 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(9)\/sqrt(3) - sqrt(3))**2 + 1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (74 + -100 - -55) + -29\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 11856*c**2 - 838080*c - 14992128.\nAnswer: -4*(c + 36)**2*(c + 2892)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2470, -4955, -7440?\nAnswer: -9925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4*i - 25, -5*i + 50 = -2*l - 0*i. Let c = -22 - l. Solve -21 = 3*v + c*s, -5*s = v + v + 26 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -10*f**2 - 3*f - 4. Let y(s) = -s - 1. Let m(k) = j(k) - 4*y(k). Let u be m(-1). Let o = 13 + u. Solve -n = -o*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*h. Suppose 4*z + 21 - 85 = h. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(20)\/sqrt(10)) - (-4 + sqrt(133)\/sqrt(7))**2.\nAnswer: -35 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -36846500.54 to the nearest one thousand.\nAnswer: -36847000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84290824.\nAnswer: 2, 67, 157259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 823, -915, -3813, -7871?\n\"Answer: -580*s**2 + 2*s + 1401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111555718 to the power of 1\/2, to the nearest integer?\nAnswer: 10562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/78 and 101\/5864.\nAnswer: 228696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44432 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r. Determine o(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -14 - -2 - 0 - -3. Let k be (32\/(-2))\/(8 + i). Calculate the greatest common factor of k and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 748097 and 641226?\nAnswer: 4488582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 5 - 5)*(-3*m - 2*m + 7*m + 6*m**2 - 3).\nAnswer: 12*m**3 + 4*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 5*d**2 - 8*d - 7. What are the prime factors of x(7)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -574 or -573?\nAnswer: -573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 19\/4 of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-1 - 1) + -1. Put x, 5, 0 in descending order.\nAnswer: 5, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*w**2 + 526*w**2 + 98*w**2 + 533*w**2 - 37*w**2.\nAnswer: 1188*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -18*f**2. Let z(s) be the first derivative of -8*s**3\/3 - 692. Determine z(m(j)).\nAnswer: -2592*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0543879 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 17 = -w, 3*w + 7 = 4*g - 0. Solve -4*r + 10 = 2*f, 4*r - 5 = -w*f + 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2034, -4070, -6106, -8142?\nAnswer: -10178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 519 and 167284599?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 10*t - 8*t - 4*b, 3*t + 6 = -4*b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15975 + 215?\nAnswer: -15760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 140 + -138. Suppose 5*b - 30 = 4*v + v, l*b + 5*v = -2. Solve m + b*h = -7, -m + 0 = 2*h + 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240074, -240058, -240042, -240026, -240010, -239994?\nAnswer: -239978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -40. Let l be (-156)\/(-15) - (-9)\/n. Suppose -2*i = -p - 5*i + l, 0 = -i - 4. Calculate the remainder when 90 is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (1 - (-2 - -4) - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 12*n + 3. Let c be b(-11). Let t = -11 + c. Calculate the lowest common multiple of 11 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 47 = 3*j + 2*u, 3*j - 39 = -3*u. Let d = -44921 - -44920.8. Put d, 1, 2, j in decreasing order.\nAnswer: j, 2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {b: 2, u: 9}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2636615 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 10 = -2. Suppose 49 = -o*j - 5*c, -c - 1 + 2 = 0. Let b be (j\/4 + 4)\/3. What is the nearest to -2\/5 in 1, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-4)*(-10)\/5 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**5\/5 + 3702*b**4\/5 + 155308*b**3\/5 - 65088*b**2 = 0.\nAnswer: -1808, -45, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4. Suppose 0 = -8*c + 3*c - 3*q - 5, -11 = s*c + 3*q. Differentiate -b**2 + 1 + 1 - b**c with respect to b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -14*k**3 - 5*k**2 + 8*k + 16. What is the tens digit of u(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 21*d**2 - 515*d - 1395. What is p(27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 79022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -2 - 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 19. Let k = 3 + -5. Put k, 5, q in ascending order.\nAnswer: q, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.08 (b) -0.44 (c) -2\/11 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2. Let j(m) = -16*m - 14. Let t(k) = k + 1. Let x be -3 + 4\/((-8)\/6). Let f(u) = x*j(u) - 84*t(u). Calculate f(g(i)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -430 - 0?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*m**4 + 59358*m**3 + 39566*m**2 + 6594*m.\nAnswer: 2*m*(m + 3297)*(3*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 4, -3, 12, -2\/23, -6?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a - 15. Let m(o) = -11*o - 2. Let y(i) = -26*i - 2. Let v(z) = -m(z) + y(z). Determine l(v(u)).\nAnswer: -30*u - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 28, 2, 8, 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-28) - (-14)\/24. Put v, 7, -0.5 in increasing order.\nAnswer: -0.5, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -5\/2, -10.\nAnswer: -10, -5\/2, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6335114*z + 3167544*z + 3167550*z.\nAnswer: -20*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 618, 2073, 4910, 9591?\nAnswer: 16578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u - 6. Let l(o) = o**2 + o + 7. Let x be l(-4). Let m = u + x. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 27*v + 39. What are the prime factors of h(20)?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 6:23 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2283351.\nAnswer: 3, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1204023314 (base 5) to base 14\nAnswer: 52bc6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 77.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68353885 is divided by 1141?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 0. Suppose -4*h + p = -5. Let q(i) = 0*i + h*i - 6*i. Let f(j) = -3*j. Determine f(q(o)).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -22, 2, 48, 122?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -1 - 2) + (-30 + 21 - -61 - 150)\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3818?\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 67\/(2345\/168) - (6\/(-10))\/3. Solve -2*q + q = 4*l + 1, -p*l + 10 = -q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*y - 16 = 13, 0 = 3*y + 9. Solve 0 = -19*d - v - 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 18 + 6. Calculate the smallest common multiple of x and (3 + 36)\/3 + -3.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705899813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/j**(3\/8)))\/j*j\/j**(-1\/2))\/((j*j**(4\/3)*j)\/(j\/(j*((j*j**(-5)*j)\/j)\/j)))*(((j*(j\/j**0)\/j)\/j)**(-3\/5))**0 assuming j is positive.\nAnswer: j**(85\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 16*x + 295. Give t(-15).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0485 and 0.024.\nAnswer: 0.001164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, h: 1}. What is prob of picking 2 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 23. Let h = o + -12.9. What is the nearest to 0 in 2, -0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -254 - 1020 - 62*b**2 - 309*b - 31 + 311*b wrt b?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1602 and 747735102?\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7614 divided by -47\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 136 = -2*a. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12217 - -14549. Calculate the remainder when 6997 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57707361385462*q**2 - 57707361385462*q**2 - 3*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 338450124 to the nearest integer?\nAnswer: 18397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1327, -1858, -2373, -2866, -3331?\n\"Answer: k**3 + 2*k**2 - 544*k - 786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644 is divided by 190.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, v: 10}. What is prob of sequence mm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b - 12. Let p be k(-2). Let h be (19 + p)\/(6\/106). Let u = h - 45. Let z(g) = g**3 - 7*g**2 - 9*g + 11. What is z(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/5 - (-48)\/20. Suppose f + 3*f = -3*l + 17, 0 = f - p*l + 4. Suppose f*r - 10 + 0 = 0. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179637 is divided by 802?\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 7 (b) 6 (c) 7995\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/4 - 25*b**2\/8 - 25*b\/8.\nAnswer: b*(b - 5)*(6*b + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-1\/5))\/d)\/d)**45*(d*d**(2\/21))\/(d*d**(-8)*d) assuming d is positive.\nAnswer: d**(-985\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1263643404 rounded to 4 decimal places?\nAnswer: -0.1264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3648)*-1 - sqrt(3648))\/(-1*sqrt(3)*-2 + 1*sqrt(192)).\nAnswer: -12*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -81*c + 3987. Let i be x(49). Calculate the greatest common factor of i and 22419.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 + 137 - (3 + -3). Let j = -65 + q. Let w = j - 59. Put w, -1, 4, 11 in decreasing order.\nAnswer: 11, w, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1010 + 338. Suppose 297 + p = 5*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 60, 97, 150, 225, 328, 465?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (577\/(-5) + 8\/(-4))*-5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -211121 + 1.\nAnswer: -211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -40688390?\nAnswer: -20344195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven tenths of a kilometer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 1265290943?\nAnswer: -1265290945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1112 and 15104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 - 3232786*a + 3232803*a + 3.\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26.908 and -0.4.\nAnswer: 10.7632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/10)\/((4\/4)\/(-4))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11708, -23329, -34952, -46577, -58204, -69833, -81464?\n\"Answer: -t**2 - 11618*t - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33313 + -22000110?\nAnswer: -22100023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z**2 + 5*z + 10. Calculate u(-4).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + i = 434, i + 856 = -0*j + 2*j. Suppose -2*t - 3*t = -j. What is the remainder when t is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -169.72678?\nAnswer: -10.1836068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 358108 + -753808. What is g rounded to the nearest ten thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/7, -1\/6, 2\/5, 5, -0.4, -0.063?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 159 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7069 + 2580187\/365. Is d smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, 1617015 in descending order.\nAnswer: 1617015, 3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 - 7*r - 7. Let q(p) = -p**2 - 5*p - 5. Let a(o) = 3*o - 5. Let y be a(0). Let l(g) = y*f(g) + 7*q(g). Let v(s) = -4*s**2. Determine l(v(x)).\nAnswer: 48*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 13*z - 2. Let p(y) = -y. Give -k(g) - 6*p(g).\nAnswer: -7*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(30)\/(sqrt(50)\/sqrt(45) + sqrt(10)) + (sqrt(3) + 2*sqrt(12)\/sqrt(4) - (0 + sqrt(12)\/sqrt(4)))**2 + -4 + 3.\nAnswer: 3*sqrt(3)\/4 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 19 - 1\/2*k**2 - 8*k. Let s be f(-11). What is s rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.073? (a) 6 (b) 0.7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 20 = -10*u. Let i be (-4)\/(-2) - 18 - u. Calculate the least common multiple of 2 and (-80)\/i - 2\/(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -2\/5 (c) 17 (d) -9431 (e) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1700*a + 3407*a - 402*a**2 - 1703*a.\nAnswer: -402*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-32) + (-695)\/(-1320). Let w = 13\/12 - f. What is the smallest value in -0.04, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4e (base 16) to base 3\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/(-4))\/(2\/(-40)). Let i be (-2)\/(-3)*y\/6. Let o = -237\/2432 - 1\/128. Which is the biggest value? (a) i (b) o (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeqeeedqfe. What is prob of picking 1 q, 1 d, and 1 e?\nAnswer: 22\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2, -9, -34, -79, -150, -253?\n\"Answer: -o**3 - o**2 - o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-11898)\/12*(20\/(-12) - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.17501 and -0.08.\nAnswer: -0.8140008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*u - 20*u + 7*u)*(2 - 3 + 0) - 11440 + 360*u + 11440 to b*u + q and give b.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3303679997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j**2. Let t(s) = 1396*s**2. Determine z(t(v)).\nAnswer: 13641712*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1839, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 10*d**3 + 6*d**2 - 1. Let o(l) = 19*l**3 + 13*l**2 - 2. Let x(b) = 13*h(b) - 6*o(b). What is the derivative of x(r) wrt r?\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 30 = -5*x - 10, 0 = 3*x + 4*b - 26. Suppose 0 = -2*h + 5*h - 12. Put h, 3, x in descending order.\nAnswer: h, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m - 102 = 0. Let f(i) be the first derivative of i**4\/2 - 19*i**3\/3 + 7*i**2\/2 + 24*i + 84. What is the remainder when m is divided by f(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 100111110?\nAnswer: -100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -11*a. Let j(k) = 3*k - 17. Let b(i) = i - 6. Let u(y) = -17*b(y) + 6*j(y). Determine u(o(f)).\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1131720?\nAnswer: 2, 3, 5, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/10971 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9583 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*25\/(-15) + ((-114)\/6 - 43).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4874520 by 980.\nAnswer: -4974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 - 96*n - 371. Determine c(52).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 6827*l - 982479. Determine p(-141).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -2*y - 1993 + 1876, -25*y - 3*b = 1203 + 212 for y.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5495 or -1?\nAnswer: 0.5495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12831357, 25662715, 38494073, 51325431, 64156789?\n\"Answer: 12831358*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 2. Let f = b + 1. Solve -3*h = 3*t + h - f, -3*h - 4 = 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/1)\/((-136)\/(-136)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/3509319 and -64\/2943.\nAnswer: 3442641939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 + 120.083. What is t rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/2485128 and -73\/657828.\nAnswer: 22366152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -16. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 314 in ascending order.\nAnswer: -4, -2, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*q - 231*q = -4*r - 89, -21*q = -27*r - 558 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42849 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: Let w(a) = a**2 - 4*a. Suppose -3*f - 12 = 0, -5*n - 3 + 33 = -5*f. Suppose n*k - 12 = -2. Let z be w(k). Solve 3*t + z = 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13c + -4d764?\nAnswer: -4d8a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 6632.198 to the nearest ten.\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-8)*3*18\/(-54)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 7\/6*n**4 + 0 + 9\/2*n**2 + 0*n**3 - 9*n. What is the first derivative of c(d) wrt d?\nAnswer: 28*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 59a8 - 6d?\nAnswer: 593a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -103581.4 - 1.465\nAnswer: -103582.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1537 - -2439. Let r = j + -902. What is the closest to r in 2\/15, 4, 3, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*7\/(7\/(-4)). Suppose 4*f - o = 4. Sort -2, 1, f in decreasing order.\nAnswer: f, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 218122754?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0385830382 rounded to 6 dps?\nAnswer: 0.038583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(4)*4 + 3.\nAnswer: 3 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213, -221, -241, -279, -341?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-361)\/152 - (-30)\/80\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m + 1. Let a be u(1). Let i be 65\/5 + (a - -3). Suppose r = 4*z + 93, -4*r + 2*z = -3*z - 405. What is the greatest common divisor of i and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(34)\/sqrt(2) - sqrt(68)\/(sqrt(16)\/sqrt(4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h + 14. Let b(y) = y**2 - 2*y - 21. Let w be (-4)\/(-18) - (-473)\/99. Let r be b(w). Calculate f(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w**3 - w**2 + 7. Suppose 3*s = -5*m + 33, 3*m + 1 = 3*s - 8. Let b(n) = -14*n**3 - 2*n**2 + 20. Determine s*b(l) - 17*o(l).\nAnswer: l**3 + 5*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 304 - 318.9. Let z = n - -14.8. Let w(q) = -q + 1. Let i be w(-4). Which is smaller: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 81\/40 - (1 - -1). Let j = -5.2936 - -0.2936. What is the biggest value in t, -0.1, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1233 by 119.\nAnswer: -1233\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*x + 1673 - 100, 5*p + 4*x = 3890. Let m = p + -261. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 18*a + 20. Let l be u(13). Let k = -24 - l. Does 15 divide ((-3748)\/(-28) - -1) + 3\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124089207.\nAnswer: 3, 11, 3760279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -337366, -674778, -1012190, -1349602, -1687014, -2024426?\nAnswer: -2361838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -4*v**3\/3 + 9*v**2 - 108*v. Let u be s(2). Sort -3, -14, u in decreasing order.\nAnswer: u, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.853 + 1.72. Let q = 3.567 - w. What is the biggest value in q, 0.2, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-143)\/11)\/((-65)\/10). Let v(y) be the third derivative of 16*y**x + 0*y**3 + 0 + 1\/200*y**6 + 0*y + 0*y**5 - 1\/40*y**4. Factor v(j).\nAnswer: 3*j*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -64 + -3?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 32, 39, 44?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 79474598*q**4 + q - 177488416 wrt q?\nAnswer: 317898392*q**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1794467 and 7979.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/((95\/(-30))\/19)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*((m\/((m\/((m**(3\/4)\/m)\/m*m))\/m))\/m*m)\/m*m**(-6))\/(((m\/(m**(-1)\/m)*m)\/m*m)\/m)**(-8) assuming m is positive.\nAnswer: m**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -889524 - -889524.2. Let y be 1\/1 + (-437)\/(-5). Let j = y - 88. Which is the fourth smallest value? (a) f (b) 0 (c) 2\/37 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 59*h + 22. Is 67 a factor of s(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/3285 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 divided by 25?\nAnswer: -148\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36210 - 36210.4. Which is the smallest value? (a) -1\/3 (b) -150 (c) -0.3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*w - 5. Let g be (-142)\/4 - w\/2. Let d = g - -62. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.723 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 + 0 = 0. Factor -400*b**t + 402*b**2 - 144*b - 2 + 18*b**2 + 18.\nAnswer: -4*(4*b - 1)*(5*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 964.5 + -983. Sort 1\/5, s, 0.04 in descending order.\nAnswer: 1\/5, 0.04, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*x = 2, 4*x = -2*m - 0*m + 16. Suppose -30 = -m*w - 12. Suppose -a = 3*y - 0*y - 12, -4*y + a = -w. Solve -y*o + 4*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 121*s**2 + 337*s - 2019. Calculate w(-118).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3990, -7990, -11998, -16014, -20038, -24070, -28110?\nAnswer: -32158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285993, -571932, -857871, -1143810, -1429749?\nAnswer: -1715688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31, -18, 9, 56, 129?\n\"Answer: s**3 + s**2 + 3*s - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 4, b: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 >= 142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, e: 2, n: 3, w: 1, o: 3, x: 2}. Give prob of picking 1 q, 2 n, and 1 w.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15408*t**4 - 10070 wrt t?\nAnswer: -61632*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5341, 10694, 16045, 21394, 26741?\nAnswer: 32086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 7*p**2 + 8*p + 5. Let b(k) = k**3 - 4*k**2 + 3*k - 6. Let h be b(4). Give a(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1*i)\/i)**16\/(i**(1\/2))**44 assuming i is positive.\nAnswer: i**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 + 2331003200212?\nAnswer: 2331003200110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 13*k**2 + 26*k - 3. Calculate the remainder when q(11) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1033*6\/(-15))\/((-15)\/(-75)). Suppose -3 + 5 = i. Let z(v) = -2066*v + y*v - v**i. Let a(t) = -25*t**2 - 2. Calculate a(z(c)).\nAnswer: -25*c**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3016540.9 rounded to the nearest one thousand?\nAnswer: -3017000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*m - 4*s + 47, -3*s = 4*m - 32. Let x be -10 + m + (-1)\/(-1). Solve 3*z - 15 = -x*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 6.874737659\nAnswer: 6.674737659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*d - 139*d = -30 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u = -4*w - 60, -u = 3*w + 7. Suppose -320 = -7*i + 3*i. What is the greatest common factor of u and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 6*i - 20. Suppose -l + 34 = -0*l + i*s, 5*s + 55 = 2*l. Suppose -2*q + l = -22. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -123891.705 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 939940 rounded to the nearest 1000?\nAnswer: 940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -991, -1864, -2725, -3568, -4387, -5176?\nAnswer: -5929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 567 + 219. Let w be 140\/(-15)*36\/(-7). Let y = c - w. Solve -l + 2*q - 5 = 0, -q + 3 = 3*l - y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 919 divide 4547876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**5 + 4*y**5 - 5*y**5 + (2 - 2 + 4*y)*(-2 - 2*y**3 + 2)*(-y + 3*y + 0*y).\nAnswer: -17*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 19*x**2 - 2*x + 12. Determine g(19).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21480245*u**4 - 27422477 wrt u.\nAnswer: 85920980*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -9*c + 11*c. Let y = 15 - c. Sort y, -3, 0.05.\nAnswer: -3, y, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 - -51. Let m = 599 + -598.9. Which is the closest to m? (a) 0.3 (b) 2 (c) -2\/11 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.25 + -5.25. Sort t, 0.01, -1\/3.\nAnswer: t, -1\/3, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**3 - 7*c + 11. Let l be ((-6)\/9)\/((-8)\/6). Let x(u) be the first derivative of -6*u + 2*u**2 + 1 + l*u**4 + 0*u**3. Give -6*q(v) - 11*x(v).\nAnswer: 2*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (648\/(-40))\/((-1)\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f + 1. Let q(v) = 196*v**3 - 2*v**2 + 2*v + 2. Let s be q(-1). Let r = s - -204. Let y(a) = -2*a + 1. Calculate r*y(j) - 7*p(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*s - 5501, 116*b - 118*b + 4*s = -10970. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 62 - (18\/15)\/(8\/(-20)). Let q = 13154\/13 + -1012. Sort q, 0.2, u.\nAnswer: q, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82.726551 - -4066\nAnswer: 3983.273449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 p when two letters picked without replacement from {p: 6, f: 1, w: 1, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1562245 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-6)*((-48)\/(-80) - -3). Suppose 3*g = 2*z + 109, -4*g + z + 22 = -130. Let v = o + g. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + j + 4. Let r be s(0). Let h be -1*(29 + -26 + (-2)\/(-1)). Sort r, h, -19, -3.\nAnswer: -19, h, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*l = 23*l + 65. Suppose -2*f + 60351 = 2*f + l*r, f - 15090 = r. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27537435389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/114 and 25\/6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**4*v - m**4 - 2*m**3*v - 118094*m**3 + m**2 + 4*m*v - 44*v - 7 wrt m?\nAnswer: 48*m*v - 24*m - 12*v - 708564","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -3 + (6 - 14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9*(-5)\/((-4)\/(-4)). Let z = f - -66. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yydyd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -34*w**2 - 2551*w - 230. Determine r(-75).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/16*18\/27. What is the closest to h in -1\/2, 1, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**9\/1512 + o**8\/168 - o**7\/70 + 11*o**3\/6 + 32*o**2. Let q(w) be the first derivative of a(w). Suppose q(y) = 0. What is y?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 126981?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 96 - j - 97 + j**3 + 5*j + 3*j as n*j**2 + l*j**3 + k*j + h and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4 = -4*m + 4*r, 0 = -4*m - 3*r + 11. Suppose 6 = c + 2, j - c = m. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.137694l?\nAnswer: 7137.694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -324, -1, 0.2, 4\/3, -2, -224?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 11:22 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 9:33 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -919112, -3676064, -8270984, -14703872, -22974728, -33083552?\nAnswer: -45030344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 158 - 1263\/8. Which is the second biggest value? (a) -2 (b) f (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6.57?\nAnswer: -6.57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4339 and 2912722971.\nAnswer: 4339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 7*q - 7. Let l be k(-7). Is l < -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, r: 2, q: 4}. Give prob of sequence jrq.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20356 (base 12) in base 10?\nAnswer: 41970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/13 - 5720480*o\/13 - 4090486428800\/13.\nAnswer: -2*(o + 1430120)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a meter in centimeters?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 155 - 111. Calculate the highest common divisor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 12, p: 1, k: 3}. What is prob of sequence ik?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**3\/6 - 5*z**2\/2 - 2*z - 130. Let a(q) = 10*q**2. Determine v(a(p)).\nAnswer: 10*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 148*o**5 - o**4 - 10*o**3 - 2*o**2 - o - 6376?\nAnswer: 8880*o**2 - 24*o - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10996393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54249796, -54249797, -54249800, -54249805, -54249812, -54249821?\nAnswer: -54249832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7386063*d**3 - 1237891 wrt d.\nAnswer: -22158189*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7826 + -7155.8. Let t = p - 612. Let g = t - 58. Which is the smallest value? (a) 4 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-135 - 398 - 161)*(-5*d**5 + 6*d**5 + 4*d**5).\nAnswer: -3470*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 - 164*l + 282. Calculate j(-85).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*9\/(-36)*13*-4. Are r and 14 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 17934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*h + 264*h - 28 = -2*j, -2*h - 46 - 24 = -23*j + 3*h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -716 divided by 4.\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2050837 and -3.\nAnswer: 6152511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 1:47 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 27*s**8\/56 + 29*s**4\/12 + 25*s. Find the third derivative of k(m) wrt m.\nAnswer: 3240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (-6)\/(-9))*9. Suppose z*o - 8 - 7 = 0. Let q(j) = 26*j - 160. Let d be q(6). Which is the nearest to -0.1? (a) o (b) 3\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/85)*d\/((d\/(d\/((d*(d*d**(8\/7))\/d)\/d*d))*d)\/d)*(d**0)**(3\/16))**13 assuming d is positive.\nAnswer: d**(-8658\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5*(sqrt(1872) + sqrt(1872)*1 + -4) - (sqrt(1872) + 1 + 5 + (sqrt(1872) - (sqrt(1872)*1 - sqrt(1872))) + -4)))**2.\nAnswer: -4032*sqrt(13) + 120249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -291*i - 293*i + 64 - 293*i + 1163*i - 283*i. Determine z(-9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1722*-4988\nAnswer: 8589336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 0.1, -21, -1, 0, -349?\nAnswer: -349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.7 + 4. Let j = 1.7 + m. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, v: 3, a: 5, o: 6}. Give prob of picking 1 o, 1 a, and 2 g.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Put 1, -14, 581, 4 in ascending order.\nAnswer: -14, 1, 4, 581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -108952*h + 214496*h - 110304*h + 472 wrt h?\nAnswer: -4760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -2521\nAnswer: 12\/2521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 298255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 3:14 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -153310*i. Let j(v) = v**2. Give j(x(m)).\nAnswer: 23503956100*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18135 - 18136. Which is the closest to s? (a) -5 (b) 1\/7 (c) 110 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 1053?\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 41064*u - 5788160.\nAnswer: 2*(u - 20672)*(u + 140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3214818 divided by 2.\nAnswer: -1607409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 2*v - 2. Let x(t) = -99*t + t**2 + 47 - 50 - 102*t - 107*t + 305*t. Suppose -4*r + 0*r + 8 = 0. What is r*x(d) - 3*m(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 - 2 + 2 + 4*p**3.\nAnswer: 4*p**3 + 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8049855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*l + 5*l + 6*l + 16*l**3)*((2 - 2 + 1)*(-2*l - l + 5*l) - l + 3*l + 0*l).\nAnswer: 64*l**4 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 8*k - 4*f + 4844, 5*f + 10 = 0. What are the prime factors of k?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 1. Suppose 0 = 4*k + 2*r + 5 + 1, 3*r - 21 = 4*k. Let s be (-4)\/(-12)*(-2 + 2)\/k. Determine l(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (0 - -1) - (3 + -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c + 12. Let s = -2 - c. Suppose 2*h - s*h + 58 = 0. Solve 0*m + 12 = -f - 3*m, -3*f + h = -4*m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00377 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**3 + 11*t**2 - 5*t - 4. What is x(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 967516 divided by 241879\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**4\/12 - q**3\/2 - 19*q**2 - 1. What is j(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000151184 to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40296231 to the power of 1\/2, to the nearest integer?\nAnswer: 6348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5157*a - 3407*a - 3402*a + 11968*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6543b (base 13) to base 4\nAnswer: -230230211","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 0, 0 = 4*m - 9*m - 4*r + 10. Suppose -m*l + 3*l - 297 = 0. Suppose -151 = -8*z + l. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**4\/h)**(-4\/7)\/(h**2)**(-31) assuming h is positive.\nAnswer: h**(418\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + p = 2*s - 2670, -1317 = -p + 5*s. List the prime factors of p.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -12 - 7 - -75) + 288 + -299?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -284980 to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -39*r**3\/2 - 51*r**2\/2 + 33*r + 12 = 0. Calculate r.\nAnswer: -2, -4\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18780\/11 - -1710. Let f(v) = -2*v**3 + 13*v**2 - 4*v. Let n be f(8). Calculate the common denominator of j and (n\/20)\/((-1180)\/50).\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, d: 2, m: 1}. Give prob of sequence wwww.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1, 7\/5, 0.1, 2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - 65. Let b = x + 75. Let s(y) = 51*y**2 + y - 1. Is s(b) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2103 (base 4) in base 15?\nAnswer: -9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) 2\/7 (c) -370\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n - 5*r - 1646 = -28*n, 2141 = 4*n + r. What are the prime factors of n?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 26145065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1125*k + 202362. Calculate c(180).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 0.5, 0.03, 0.05, 7 in descending order.\nAnswer: 7, 0.5, 3\/7, 0.05, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 8640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134478674*j**2 + 134478674*j**2 + 1173*j**3.\nAnswer: 1173*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4031 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25969733497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*c**3 + 5*c + 1 - 103*c**3 + 3*c**3 - 1 to the form k + j*c + l*c**3 + f*c**2 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -10.9. Let f = m + 0.1. What is the second biggest value in f, -1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -19*f**5\/5 - 5*f**4\/12 + 5*f**3\/6 + 3403*f**2\/2 + 1994*f. Find the first derivative of i(v) wrt v.\nAnswer: -228*v**2 - 10*v + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r + 5*r + 5*r. Let d(j) = j. Determine d(g(z)).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 12, g: 6}. Give prob of sequence kggg.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*z + 4, -4*w - 3*z = 28. Suppose 4*o - 7 = -2*l - 3, -5*l - 18 = -4*o. Does 11 divide o\/(-10) - 1222\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r + 7. Let p(q) = -9 - 2*q - 4 + 5*q. Let v(n) = 5*g(n) + 3*p(n). Let o(k) = 5*k + 21. Calculate 2*o(u) + 11*v(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i - 574 = -1597. Suppose 8*w = 23 + i. Solve 4*p = -3*b + w*b - 28, -3*b - 4*p = 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 8924*t**2 - 17*t - 18. Is q(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1053)\/249561)\/(2\/6)?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1350, -2609, -3868, -5127, -6386, -7645?\n\"Answer: -1259*z - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2160\/99 + (-8)\/(-44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6630 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)\/(u\/(u**2*u)))\/(u*u**(3\/5)*u**(1\/2))*((u\/u**(3\/13))\/((u**(-1\/5)\/u)\/u))**(-14) assuming u is positive.\nAnswer: u**(-5547\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (112 - -2 - -4) + (-1500 + 1511 - (11 + 0))\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32854\/11 - 2984. Find the common denominator of 43\/259 and s.\nAnswer: 2849","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 2\/14852049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-288)*-6)\/((-1)\/(-4)*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*b**2 - 21*b**2 + 29*b**2)*(-2*b - 5 + 5 + (-2 + 0 + 0)*(3*b + 0*b - 4*b) + 3*b - 2*b - 2*b) in the form q*b + v*b**3 + i + k*b**2 and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 957391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -10. Let h be (-2)\/t - 65\/2. Let b = h - -55. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nolr when four letters picked without replacement from lrnroxo?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 53344?\nAnswer: -53335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5, 5*i + k = 109 + 51. Let l be 1\/33*6 + 126\/i. Solve -4*d + l = 4*j, -j + 21 = 3*d + 2*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 1536.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*k**3*l**3*n**3 - 277*k**3*l**3 + k**3*l*n**2 + 2*k**3*l*n - k**2*l**3*n**3 wrt n.\nAnswer: -252*k**3*l**3 - 6*k**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Suppose 11 = q*d - 5. Let x(n) = -220*n**2 + 1763*n. Let k be x(8). What is the greatest common factor of k and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 8. Let s(d) = -3. Let p(i) = f(i) + 2*s(i). Let k(n) = -2*n**2. What is k(p(z))?\nAnswer: -2*z**2 - 56*z - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30317\/15 - -2021. What is the nearest to -0.1 in 16, h, -21\/5, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933 is divided by 35.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*a = 140, 68*a - 220 = -3*c + 73*a. Which is greater: c or 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15811965, -31623924, -47435883, -63247842, -79059801, -94871760?\nAnswer: -110683719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -42*y + 43*y + 19 - 21. Let q be t(4). Solve -4*o - 4*u + 24 = -0*o, -4*o = q*u - 22 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1352*y**2 - 1465*y wrt y.\nAnswer: -2704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, a: 16}. What is prob of sequence abaa?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.012 - -8.312. Let i = s - 8. Put 2, i, 0.2 in decreasing order.\nAnswer: 2, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*r - 221*r = 110*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w + 8. What is u(-6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-396)\/2244 + 9500\/68476.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -248423*q + 248424. Determine w(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2. Let r(q) = -60*q**2 + 2. What is s(r(d))?\nAnswer: 3600*d**4 - 240*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -30 (b) -8 (c) 1 (d) 51 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*c + 14 + 4, 0 = 5*i - c + 68. What is the nearest to -1\/2 in 5\/2, i, 0.9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**7\/1890 + b**6\/1080 - b**5\/270 + 16*b**2. Solve h(g) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1601 (base 7) to base 2.\nAnswer: 1001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3 = a + 20, -4*a = 12. Let s(p) = p + 11. Let x be s(-5). Suppose 3 = y - x. Calculate the least common multiple of y and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 8 + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128825*n**2*u**3 + 111885*n**2*u**2 wrt u?\nAnswer: -772950*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 5:29 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 82*i**2 + 126*i + 437. Let j be v(-80). What is the greatest common divisor of j and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + o**2 + o - 11. Let t be w(0). Let y = t - -8. Let q = 14 + y. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/2)\/(33\/(-44)). Which is smaller: h or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 1. Let i be 2 - (-1 + 2)\/((-1)\/48). Suppose -6*w = 19*w - i. Solve -3*r - w*l - 1 = 0, -31 = 2*r + u*r - 4*l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9201452)\/4205120 + 4\/(-10). Let g = c + -1\/12368. What is the common denominator of g and -19\/8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1083556?\nAnswer: 2, 29, 9341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(12)\/(sqrt(726) + 3*sqrt(726) + sqrt(726)) + 5 + 1)**2.\nAnswer: -12*sqrt(2)\/55 + 108902\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 338*n**2 + 4. Let x be w(-1). Find the common denominator of (149*(3 + -2))\/18 and 2\/(-8) - (x\/(-60) - -4).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643934 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/(2\/(-16)). Let f(y) = 3 - 4*y + 9*y - b. Does 11 divide f(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 + 3*v - 13)*(220*v**2 + 15*v - 37*v + 22*v).\nAnswer: 660*v**3 - 1540*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - -697?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/70 - 1\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22203121 (base 4) to base 12\nAnswer: 21021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzwzwz. Give prob of sequence wwz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -50457 + -150?\nAnswer: -50607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(4\/3)\/d**(-5\/2)*(d*d**1)**12)**(9\/10))**22 assuming d is positive.\nAnswer: d**(5511\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 663255139 to the nearest integer?\nAnswer: 25754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7975965 to the nearest integer?\nAnswer: 2824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-75) - (-186)\/(-45).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7380 or -7379?\nAnswer: -7380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 3:17 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -10*f - 9. Suppose 0 = -5*m - 15, 0*v - 4*m + 36 = -4*v. What are the prime factors of u(v)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 l, and 1 x when four letters picked without replacement from nrxrlrrlrrrrxrlnrx?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m = 15*m - 2*f + 213, 193 = 5*m - 3*f. Calculate the remainder when m is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3134 divided by -45?\nAnswer: -3134\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1059 divided by 8?\nAnswer: -1059\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1085685*m**3 - 3*m + 3*m - 1085682*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (-7)\/((-7)\/(-2)). Let v = 14 - t. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8341 is divided by 1018.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**5\/15 + 16*r**4\/3 - 58*r**3\/5 - 84*r**2\/5 = 0.\nAnswer: -42, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*p - 2. Let v(c) = -22970*c**2 + 9*c - 19. Let t be v(p). Let o = t + 336722. What is o rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 317356315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*q - 10 = -4*h, 3*h + 2*q = 6. Suppose -6*m - y + 35 = -m, -28 = -3*m - h*y. Let x be (-4)\/m + 1 + 1. Which is smaller: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111110100 (base 2) to base 12\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-11)\/x)\/(x**(-15)\/x) assuming x is positive.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 31 + 67 = -5*s, 3*s = -5*i - 116. Find the common denominator of 4\/1 + 105\/i and 29\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6288.875 nanometers?\nAnswer: 0.006288875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b752 (base 16) in base 13?\nAnswer: 149228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g - 116. Calculate i(15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + d = 32, 4*d + 8 - 61 = -3*c. Suppose -3*j = 5*g - 3*g - 96, 4*g - 12 = 0. Let a be (-804)\/c - 12\/j. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 c, 1 l, and 1 w when four letters picked without replacement from {c: 4, h: 3, l: 2, w: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2. Let y(d) be the second derivative of -d**3\/3 - 2*d. Let a(h) = 4*h. Let z(b) = -6*a(b) - 11*y(b). Give v(z(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 146\/14 - -2*(-18)\/(-63). Let u be 2\/3 + (-394)\/6. Let x = i - u. Is x a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(3136)*-1)\/sqrt(7) - 5*(sqrt(7) - (sqrt(7) - (1 + sqrt(7) + 1 + sqrt(7))))) + -3)*-6)**2*2.\nAnswer: 33696*sqrt(7) + 175464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 11.777?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, o: 5, h: 2, r: 9}. Give prob of picking 2 o.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/3*-1)\/((-106)\/159). Let x = 0.284 + 33.916. Let t = x - 35. What is the biggest value in r, -1\/2, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 59 = -s + 23, 0 = -5*s. Let q = g - 66. Is -1*(-3)\/((-3)\/q) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*n = 17, -4*c - 5 = -5*n + 6. Let h be (-131248)\/(-564) - (-2)\/(-3). Let g = -232 + h. Is g <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 14921763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 4:51 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -915*j**4 - 21*j**2 + 2448. Let x(f) = 229*f**4 + 5*f**2 - 611. Let h(m) = 5*q(m) + 21*x(m). What is the first derivative of h(d) wrt d?\nAnswer: 936*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1374, -1391, -1394, -1377, -1334, -1259, -1146, -989?\nAnswer: -782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 17*i - 305. Let g be r(19). Suppose 3*p - g = -4*d, 4*p + 2 = -d - 0. Solve -3 + 27 = d*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-14)*y)\/y)\/(y\/((y**36\/y)\/y)) assuming y is positive.\nAnswer: y**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4750.99 rounded to the nearest 100?\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -437\/13 (c) 2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*l + 139990 = 58*l + k, -4*l - 4*k = -112008. What is the ten thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from erwze.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -174217 < -174217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 1.7 (c) -2\/17 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 3*l**2 - 2*l - 2. Let d be q(-3). Solve o + 2 = h + 2*h, d*h - 4*o = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 3\/2, -5, 2\/13?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -147\nAnswer: -14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.11 (b) 0 (c) 4268226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 8*i + 94. Let m be g(-13). Which is smaller: m or -6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1091412750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600 = 2*t - 6*t. Let r = -63 + t. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2 = 2*x, -4*u - 2*x - 2 = -3*u. Let r = -3 - -13. Calculate the lowest common multiple of r and u*(-2)\/6 + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 43?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t. Suppose 4*c + 4 = 6*c. Let d(p) be the third derivative of 0*p - p**c - 1\/12*p**4 + 0*p**3 + 0. Give d(x(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 6*d**2 - 5*d + 10. What is the remainder when 15 is divided by w(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-4)*(-2646)\/(-567)*-7*4\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46421 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 2*m**2 - 2*m + 4. Let u be h(0). Suppose -u*w + 30 = -102. Calculate the remainder when 196 is divided by w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4273 - 856*s - 4273)*(-2 + 3 + 7)*(2*s**2 - s + s) to c*s**3 + g + n*s**2 + u*s and give c.\nAnswer: -13696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -a + 646. Let w = 538 - a. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 3*m**3 - 6. Let g(c) = 3*c**2 - 6 - 1 + 7. Determine y(g(i)).\nAnswer: 81*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -515.4 + -295.3881601?\nAnswer: -810.7881601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1856969?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -175396427, -175396426, -175396425, -175396424?\n\"Answer: m - 175396428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x + 59 - 59)*(-14*x - 260 + 260)*(-18*x**2 - 20*x**2 + 8*x**2).\nAnswer: -3780*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5190.512 weeks in milliseconds?\nAnswer: 3139221657600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 11*i**2 + 4*i - 36. Let l be z(11). Suppose l*q = q + 6*q. Factor 1\/3*r - 1\/6*r**2 + q.\nAnswer: -r*(r - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 18 = -4*r, 0 = r - 2*c + 3 + 3. Sort 132, r, 0, -3 in decreasing order.\nAnswer: 132, 0, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60 - 3*c + 13 - 5*c - 11*c + 21*c to g*c + s and give s.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*i**2)*(-14*i - 16 - 11 + 34) to v*i + o*i**2 + q*i**3 + t and give q.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -18.44324 * -4\nAnswer: 73.77296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.369 + 29.631. What is the nearest to 1 in y, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k - 5. Let s be d(4). Let p be 8\/(-20) + 27\/5. Solve -z = -6*t + 2*t + s, 30 = 5*t - p*z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**4\/4 + 455*m**3\/4 + 9423*m**2\/2 + 40185*m - 166050 = 0.\nAnswer: -410, -30, -18, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - -14. Suppose 0 = 4*s - 40 - 80. What is the hundreds digit of 6154\/s - 4\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-25))\/3*(-1520)\/(-38)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 11*k - 18. Let w be u(14). Let z be -4*w\/(-128)*4\/3. What is the closest to 2\/7 in -14, 1\/5, z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-6))\/(27\/81).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - x**2 - 2. Let y be t(2). Let g = y - -21. Solve g = 3*q + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/56*98\/(-504)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2 + 8 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17646 + -17645.8. Let t = 3 - 2.4. Put t, -8, 0.5, n in increasing order.\nAnswer: -8, n, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-30))\/((-8)\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166 - -236 - (227 - 51).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -3 (c) 24590\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 225014747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -199 - -314. What are the prime factors of c?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(8\/7)\/r))\/r**(-10))**(-43)\/(r\/r**7*r\/(r\/r**(3\/4)))**(-18) assuming r is positive.\nAnswer: r**(-7859\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -x + 2, 44*x + 3*a = 42*x - 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4, 1, -2, 0.001, 0.\nAnswer: -2, -0.5, 0, 0.001, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1795 - 3?\nAnswer: -1798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 (base 13) in base 11?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 862507, 862517, 862533, 862555?\n\"Answer: 3*s**2 + s + 862503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 65. Let j be 42\/28*c\/3. Find the first derivative of -9*v**4 - 21 - 474*v**j + 474*v**2 wrt v.\nAnswer: -36*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-10))\/((-10)\/6775). Let w = -140 - h. Let s = w - -5. What is the common denominator of s and -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 21 = 201. What is the tens digit of q*(5 - (-175)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 421 divide 46555443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + 33 + -33.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-255)\/10) - -40*(-32)\/680.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjxkkkikkikkjkkk. Give prob of picking 2 i.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -160 (b) 19 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -214209*k**2 - 322*k + 370558579.\nAnswer: -428418*k - 322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 670.1175 years to centuries.\nAnswer: 6.701175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68101079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32*(-2)\/(-24)*-2.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -3. Let w = b - -4. Suppose 3*d + 2*n - 176 = -w*n, n = 5*d - 301. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 10:52 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4537*o**3 - 4472*o**3 + 8657*o**3)*(-4 - 1 + 4).\nAnswer: 352*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/97308 and 41\/97308.\nAnswer: 97308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3 - 4 + 4 + 2 + (-4 - 2 + 4)*(1 - 1 - 2))*(3 + 8*x - 3) - x + 3*x + 0*x + (4 - 4 + 1)*(x - x + x).\nAnswer: 59*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/90 and ((-762)\/40)\/((-459)\/(-102)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 6*k**2 + 3*k + 6. Determine c(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 8:25 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336 and 432?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -20*c. Let y be o(-1). Let g be (6\/4)\/(9\/300). What is the greatest common factor of y and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/6*2*(-3)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -24. Calculate the highest common divisor of 34 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - q**2 + q - 1. Suppose -8 = -13*k + 5*k. Let o(c) = 7*c**3 + 3*c**2 - 3*c + 3. Determine k*o(y) + 3*n(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/4 - 4) + ((-781)\/(-22) - 10).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 305658 and 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.41889km in millimeters?\nAnswer: 7418890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 10*x + 649. Let g be m(-31). Put -11, g, -115 in decreasing order.\nAnswer: g, -11, -115","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669263 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 p when three letters picked without replacement from nonnnpppno?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 7*w**4\/6 + 8*w**2 + 6*w. What is the derivative of l(z) wrt z?\nAnswer: 28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3500) + sqrt(3500) + -2*sqrt(3500) + sqrt(3500))*2)\/(-2*sqrt(35)\/sqrt(5) - (1*sqrt(63) - sqrt(63))\/sqrt(9)).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/60*-24 - (-9 - -1). Let j(d) = -d + 30. Give j(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 10. Let n be g(-9). Let u be ((-658)\/30)\/(2\/(-20)*4). Let m = -55 + u. What is the closest to n in 1\/9, m, 4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 507 + -503 - ((-2 - -2) + -2 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -17 (b) 33 (c) -254.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 1:32 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10641798 to the nearest integer?\nAnswer: 3262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/49 and 85\/13167.\nAnswer: 92169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -43\/51585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 20621120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(50)*4.\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-147))\/(1620\/(-30240)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 237523800 rounded to the nearest 1000000?\nAnswer: 238000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -642544300 rounded to the nearest one million?\nAnswer: -643000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270790 is divided by 9011.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 - ((-20 - (-12 - -2 - -2)) + 6)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 480 - 483. Let b = 9.9 + -0.9. Let z = g + b. Is 2\/7 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (0 - 2 - -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*4*(2 + sqrt(252)*-2 + sqrt(252) - 4*(4*sqrt(252) + sqrt(252)))*1)**2.\nAnswer: -516096*sqrt(7) + 113803264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 10. Suppose 0 = 2*i - j - 11. Let s be (2\/i)\/((-4)\/8). Which is the second biggest value? (a) -0.1 (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -21*m**2 - 9*m + 8. Let q(v) = 5*v**2 + 2*v - 2. What is 9*q(u) + 2*x(u)?\nAnswer: 3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 11*c - 9 = 0. Let w(n) = -2*n - c*n + 0*n + 5. Is 15 a factor of w(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxj when three letters picked without replacement from {x: 12, j: 3}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-4 - 3 + 6)*(-2*z + z + 6*z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 86*2232\/74648*(-28)\/(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1 + (sqrt(2057) - (sqrt(2057) + -1)) - sqrt(2057)) + sqrt(2057) - ((sqrt(2057) - -2*sqrt(2057)) + 1 + 1))**2.\nAnswer: 66*sqrt(17) + 18514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -214 - 6?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7736, 30916, 69542, 123614, 193132?\nAnswer: 278096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**3 + 9*d**2 - 4*d + 2. Let y(k) = -4*k**3 - 10*k**2 + 5*k - 4. Let t(z) = -6*s(z) - 5*y(z). Give t(4).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 863783767 by -1.\nAnswer: -863783767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*d**2*n**3 + 44*d**2*n**2 + 17*n**4 wrt n?\nAnswer: -366*d**2 + 408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 170893*f**6*u**3 + 61*f**6 - 1841*f**2*u**2 + 1312*f**2*u + u**3 wrt f.\nAnswer: 20507160*f**3*u**3 + 7320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 - 5*z**2 + 3*z**2 + 1336.\nAnswer: z**2 + 1336","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p + 24*p + 24 = 0. Solve 0 = v, -3*b + 2 = -p*v - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**6\/24 + o**5\/10 - 47*o**4\/16 - 29*o**3\/3 + 70*o**2 + 400*o + 129. Factor k(n).\nAnswer: (n - 5)**2*(n + 4)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 j, and 1 o when four letters picked without replacement from ljlejrrrlojrlerrrrj?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.3 + -4.1. Which is the nearest to 1? (a) -2 (b) j (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-9\/4)*b\/(b**13\/b) assuming b is positive.\nAnswer: b**(-53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/12009, 0.5, -1, 1, -2.\nAnswer: -2, -1, 2\/12009, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - -20. Suppose -16 = u - 4*h, -2*u - 3*h = 3*u - o. Solve 2*k = b - u*b - 15, 5*k + 5 = -b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -618 + 420. Suppose 16*f = 15*f + 4, -210 = a - 3*f. Is a > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1519 and 651?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6857161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -340 + 2*h + 31 - 759 - 2*h**2 + 38 + h**2 - 2*h**3 as a + o*h**3 + c*h**2 + b*h and give a.\nAnswer: -1030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*h - 30 - 141*h - 153*h.\nAnswer: -136*h - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 838, 843, 844, 835, 810?\n\"Answer: -i**3 + 4*i**2 + 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -71461 and 0.016187?\nAnswer: 71461.016187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, x: 4, y: 1, k: 4}. Give prob of picking 1 k, 1 y, and 1 x.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x + 111. Let i be s(-16). Solve 3 = -4*g - j - 9, -j - i = 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01357826 to 4 decimal places.\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 2\/5 (c) 2.266\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 - -88. Suppose -s*n + 3498 = 266. Is 79 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -51 (c) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 817 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3308969 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*n - n + 75*n + 85*n + 4440 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(16\/5)*(-880)\/100?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**7\/h*h*h*h\/(h**(-17)*h)*(h\/(h*(h**(-1\/8)\/h)\/h))**20 assuming h is positive.\nAnswer: h**(137\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 3*r + 0*r - 2*r + 0*r + 4*r - 2 - 2*r + 2 + (2*r + r - 5*r)*(2 - 2 - 2) + 3 - 3 + 4*r - 3*r - 5*r + 3 + 11*r)*(-2*r + 1 - 1).\nAnswer: -20*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93*a + 6*a**4 - 93*a)*(51*a - 13*a + 28*a - 4*a).\nAnswer: 372*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*d = -152*d - 781. What is the smallest common multiple of d and 213?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - ((-3 - 7) + 19 + -19 + 17)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 32385630.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 + 34*s - 108. Determine x(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -182\/71?\nAnswer: -182\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 13*p - p - 9*p - 42, 0 = 3*b. Let y be (1 - 1) + 1 - 0. Solve y + p = -3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*a + a + 6*a**2 + 168*a - 1 as k*a + v + f*a**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*y**4 + 50*y**4 - 39*y**4)*(-4 + 3 + 3) + (0 + 1 + 1)*(6*y**2 + y**4 - 6*y**2).\nAnswer: 124*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - -58. Suppose -m*l + 9 = 9. Put -2, 5, l in increasing order.\nAnswer: -2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/7594 or 0.1?\nAnswer: -3\/7594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1 - 2 - w + 6. Let q(f) = -2*f**3 + 2*f**2 + 11*f - 21. Let c be q(2). Calculate x(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/2400 and 149\/3840?\nAnswer: 19200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-650)\/20)\/5*(-3)\/(-3)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(4032) + sqrt(4032) + (sqrt(4032) - sqrt(4032)*-2) + sqrt(4032) - -1*sqrt(252))\/((sqrt(576) + sqrt(576) + -1*sqrt(576))*5).\nAnswer: -5 + 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -87 in 0.2, -2\/3, -13\/3?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8*r + 56. Let i be z(-4). Suppose -61 - 443 = -i*v. Solve -9 = 3*g - v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-63)*3\/1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 15. Let z be f(15). Which is bigger: z or -2\/71?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**4\/3 + y**3 + y**2 - 19*y - 93. Let l(k) be the first derivative of w(k). Solve l(u) = 0 for u.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpoibkkjbiiikkjibipj. What is prob of picking 2 j?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6916846.\nAnswer: 2, 3458423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.4 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -5. Suppose -3*m + 9 = 3*d, -2*m - t*d + 8 = 2. Suppose -u = 3*z + 11, 4*z + 9 + 10 = 3*u. Put m, 2, z in descending order.\nAnswer: m, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 70\/(-8) + 3\/(-12). Let w be d\/4 + (-3 - (-13)\/4). Let l be (-12)\/8*w + (-209)\/69. Is l less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j + 34. Let z be n(13). Sort -4, z, 4, -2 in decreasing order.\nAnswer: 4, -2, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 480 + -479.5. Sort 0.18, 3, k in ascending order.\nAnswer: 0.18, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1062909 + 756373. Let h = 306535.150097 + w. Let l = h - -0.85. What is l rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.16 in 523, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - y = -32 + 9, 4*h + 30 = -5*y. Which is the second biggest value? (a) -3\/5 (b) h (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*r + 99*r - 9287 + 12248 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -3. Let p = -11 - -36. Find the common denominator of (5\/p)\/(22\/d) and 13\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 1:30 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15987 (base 10) to base 2\nAnswer: 11111001110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.001 smaller than 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12925 is divided by 1075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m - 5*l - 2736 = 0, 3*m = 4*l + 4090. Suppose -6*b - 512 + m = 0. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 5*p + 11, 3*p + 10 = 5*y - 2*p. Suppose -15 = -3*z - y*v + 60, 2*z - v - 38 = 0. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -15*n**3 + 2*n + 2. Let t be u(-1). Suppose -t*b = -16*b + 2. What is the first derivative of -6 + b*d + 3*d - 4*d + 5*d wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-93)\/196 + (-23)\/(-23) and -57\/8.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-2))\/(-5) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2) + (-6 - (-2 - 1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 6. Solve 0 = -r*i + 2 - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 9*w**3 + 11*w - 11. Let b(q) = 586*q**2 + 3*q**3 + 4*q - 4 - 586*q**2. What is 11*b(s) - 4*y(s)?\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7115666 (base 8) to base 4.\nAnswer: 13021232312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -8\/5*o**6 - 4\/5*o**2 - 28\/15*o**3 + 18 + 52\/25*o**5 + 0*o + 8\/5*o**4. Find m, given that a(m) = 0.\nAnswer: -2\/3, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.461 - 1.64. Is -0.3 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/16 (b) 0.01 (c) -0.4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*y**3 + 1 + 2*y**2 + 5\/2*y.\nAnswer: (y + 1)**2*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 11*f - 3. Let v be n(22). Suppose -3*l + v = -115. What are the prime factors of l?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - l**2. Let n(y) = 6*y**2 + 7*y. Let d(r) = 6*j(r) + n(r). Find the second derivative of d(c) wrt c.\nAnswer: -36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17648?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -132*s + 8. What is the thousands digit of z(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/12 and -109\/1236.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2117\/8 - -265. What is the nearest to 3 in -5\/6, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2*(12\/(-4) - -7). Solve 5*x + g = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18659 and 0.9?\nAnswer: 18658.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 279*l + 66 + 138*l + 138*l + 27 as s + w*l and give s.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 2. Let h(b) = b - 3. Suppose 2*s - r = -4 + 5, 4*s + r = -1. Suppose s*y + 4*y = 2*i - 14, -3*y - 9 = -i. What is y*h(a) - 3*m(a)?\nAnswer: 3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.064395 + 0.043616. Round q to 4 dps.\nAnswer: -0.0208","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -24, -168, -390, -678, -1020, -1404, -1818?\n\"Answer: 2*m**3 - 51*m**2 - 5*m + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2721 and -0.3.\nAnswer: -0.08163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -5\/4, 1\/21 in increasing order.\nAnswer: -5\/4, -1\/2, 1\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2999.\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*g**2 + 120*g**3 + 97*g - 3 + 18*g**2 - 96*g + 0 as h*g**3 + l + i*g**2 + m*g and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25181*c**3 - 4896*c**2 - 1.\nAnswer: -151086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -248 + 253. Let m(k) = -6*k + 7. Suppose 2*o + 12 = 6. Let q be (-6)\/(-15) - o\/5. Let v(f) = f - 1. Give b*v(h) + q*m(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -2*v + 2*g + 4, -g = -5*v + 10. Let d be 58\/18 - v\/9. Let w = 302.6 - 303. Which is the nearest to 1.6? (a) d (b) w (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*o = 8, 3*t + 3 = 5*o - 1. Suppose -4*p - 18 = -t*p. What is the highest common factor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005809544 to 7 decimal places.\nAnswer: 0.0000581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -909 + 33543. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/306 and ((-158)\/(-6))\/(28 + -32).\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -101*q + 7263. Calculate r(72).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + (-4 - -8) - 2) + -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1322321210 (base 4) in base 14?\nAnswer: -d164c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 938377 divided by -1\nAnswer: -938377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -3 (c) 2 (d) 161\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 1. Let s be h(1). Which is greater: s or -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*g**3 + 0*g**2 + 8 + 2*g**4 + 21*g**3 - 54*g**3 - 3*g**4 + g**2 to the form l*g + z*g**4 + p + c*g**3 + w*g**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - 465\/(-30))\/(1*-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 338 and 7878.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 8. Let y be l(-10). Let v be 1\/(y*(-4)\/(-144)). Let o = v + 29. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = p. Suppose -8 = -p*u - u. Determine i, given that -5*i - u*i**4 - 1 - 10*i**2 - i**3 + 3*i**4 - 9*i**3 - i**5 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.1. Is h bigger than 6.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 7*f + 1. Let v(m) = -m**2 + 8*m. Let t(d) = -5*u(d) + 6*v(d). Is t(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-36)\/10)\/(6\/4305*-7).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 3*u**4 + 17*u**5 - 14*u**5 + 3*u**2 + 0*u**4.\nAnswer: 3*u**2*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 125021?\nAnswer: 125025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13977 - 6*k**3 - 4*k**3 + 13977.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 3. Let o be d(4). Let l be o - -1 - 0\/2. Suppose -l*q - 24 = -58. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -11. Let b = 7 + -4. What is the third derivative of l**m - 2 - l**b + 2 wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**2\/8 + 8883*t\/2 = 0. Calculate t.\nAnswer: -11844, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*f**2 - 43*f**3 - 156*f**2 + 366*f**2.\nAnswer: -43*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 45327.61 centuries?\nAnswer: 453276.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.5 (b) 1 (c) 5 (d) 27 (e) -0.0512\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 4*x**2 + 5*x - 4. Let a be -2*((-4)\/(-2))\/6*-3. Let t be g(a). Is t\/4 + 365\/10 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248808 = -z + 3*w + 1348802, 3*z = -2*w + 3300004. What is z rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktttttktcktcktk. What is prob of picking 2 c and 2 t?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6 + 1\/((-4)\/(-240)) is divided by (-10 + -125)\/(-5) + -1*4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 24, -31, 18, 3, 2 in decreasing order.\nAnswer: 24, 18, 3, 2, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29, 99, 217, 395, 645, 979, 1409?\n\"Answer: 2*i**3 + 12*i**2 + 20*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 - -114. Let f = -175.9999779 + w. Round f to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, 1\/3, 1\/6, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*a*s*v**2 + 6*a*s*v - 18161*a*s + 11*a - 13*v**2 - v + 124 wrt s.\nAnswer: 4*a*v**2 + 6*a*v - 18161*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2123, 2138, 2153, 2168, 2183?\nAnswer: 2198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21709676 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-184)\/4*(-15)\/(-30)*3\/3.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 7. Suppose 3*p - 7*p = 20. Let l(z) = z**2 + 3. Let c(b) = p*l(b) + 3*y(b). What is the first derivative of c(u) wrt u?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**3 - 620*r**2 + 28288*r - 402288 = 0.\nAnswer: 34, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -194*m**4*s**3 - 45*m**3*s**3 - 46*m**2*s**3 - 4020*m**2*s wrt m.\nAnswer: -4656*m*s**3 - 270*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.637407ml in litres?\nAnswer: 0.000637407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -9. Let b = 33 - 25. What is the smallest common multiple of i and b?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 15 = -17. Solve -m = -5*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -154313*d**2*q - 50*d*q + 6*q - 32 wrt d.\nAnswer: -308626*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*1*2)\/((sqrt(100) + -1*sqrt(100) + sqrt(100))\/sqrt(10))*-1 + (1 + 2 + sqrt(17) - sqrt(17)) + sqrt(153)\/sqrt(225) + 3.\nAnswer: -9*sqrt(17)\/5 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -13. Suppose 3*b = 6*b. Solve m*l - 6*l - 6 = b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.16 - -0.26. Which is the smallest value? (a) 2\/3 (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(4\/(-12))\/(-1). Let x(f) = 3*f**2. Let l be x(m). Let s(q) = 17*q - 3. Is 12 a factor of s(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((128\/12)\/(-4))\/(4\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2527 + 2572. Calculate the remainder when 203 is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14973141 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 154.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1972 - -49323\/25. Find the common denominator of -1\/25 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/42 + 87123\/(-1799)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1304 at least -27359\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -58229.47232 rounded to the nearest integer?\nAnswer: -58229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 242210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -2*v**2 + v - 1. Let g be a(-3). What is the units digit of 3\/(2 + g\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 - ((-1)\/9 + 38900610\/(-405)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 28. Let w = t + 26. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24930)\/108584 - (8\/(-2))\/16\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-56))\/((-1)\/(-7)). Solve -2*p - 3*z = -8, 4*p - 2 = -3*z + m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1035729 = -30*n - 2811129. Round n to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -17. Let q(w) = 9*w + 14. Let x(g) = -3*g - 5. Determine l*q(h) - 8*x(h).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3142 * -3826.\nAnswer: 12021292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1 - 5*s + 2*s + 22*s. Let f(q) = 1027000*q**2 - 1026998*q**2 - 7*q + 12*q + 0*q - 5*q. What is f(v(m))?\nAnswer: 722*m**2 - 76*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p. Let d(m) = -2*m**2 - 72594*m + 29. Calculate d(f(i)).\nAnswer: -18*i**2 - 217782*i + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -48870 divided by -8145\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + 0 + -17 + -100 + 114?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 585 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 7. Let x = 8 - 10. Let h be ((-102)\/595)\/((72\/15)\/(-8)). What is the third smallest value in h, 0.4, t, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 7:17 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6342 equal to 25369\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -43071009.8 rounded to the nearest 1000000?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 20?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 - -106. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4689 - 4687. Solve 2*s + 14 = -3*v, m*s - 5*v = 8 - 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 15037.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*d - 54, -2*d = -2 + 8. Let b(k) = -10*k**2 + 7*k + 12 - s*k + k**3 + 15*k. Give b(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22536 and 1320?\nAnswer: 1239480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.89603 rounded to 1 dp?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 120210 (base 3) to base 12\nAnswer: 2b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 669 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - 20. Let z = f + -13. Let 17*n**3 - 4*n**5 + 4*n**4 - 77*n**3 - 22*n**z - 10*n**4 - 36*n**2 = 0. What is n?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 656292.1 weeks to days.\nAnswer: 4594044.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {u: 17, b: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3483 (base 9) to base 11.\nAnswer: 1a41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 391977?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, 1, -25, -71, -143, -247, -389, -575?\n\"Answer: -b**3 - b**2 - 2*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 34. Suppose 2 = 2*l - 2. Solve z*x + l*s - 22 = 0, -4*x - 2*s = -s - 19 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a decade in months?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -4 - (-3)\/(-3). Let l be -2*((-1278)\/42 - (-6)\/14). Let d be ((-3)\/5)\/(v\/l). Do d and 9 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -l - 128, -2*s + 6*s + 5*l - 177 = 0. Calculate the remainder when s is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b**2 - b - 5. Let q(t) = 36*t**2 + 4*t + 26. Let z(m) = 33*c(m) + 6*q(m). Let u(l) = 4*l**2 + 2*l + 2. Calculate -9*u(f) - 2*z(f).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 11*t + 7. Let w be g(10). Solve w*q - 4*q**2 + 41*q - 64 - 26*q = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21729, -43392, -65061, -86736, -108417?\nAnswer: -130104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*v - 52. Let r be v + 7 - (1 - 2). Calculate the remainder when 106 is divided by (12\/8)\/(3\/r).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + -3 - -8) + -14 - -16\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -83632 (base 12) to base 4\nAnswer: -221333012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1012*g**3 - 2025*g**3 + 2*g - 2*g + 1028*g**3.\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a gram in milligrams?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1742857 and 643229?\nAnswer: 2669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1892*a - 223*a - 1667*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -11\/43 = -627301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/88 and 127\/6?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/31 equal to 1.29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2504 - 1004. Let f(p) = -8 + r*p + 4527*p + 3222*p. Let v be f(-8). What is v rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 20 = -3*n. Suppose -n*u = 3*q - 65, 4*u - 23 + 4 = -q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12c + -2566ba?\nAnswer: -25658e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, -27, -49, -75, -105, -139?\n\"Answer: -2*z**2 - 12*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -60*c + 41. Let d be n(3). Let g = 457 + d. What is the remainder when g is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 8, 15, 24, 35, 48, 63?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.88139633 and 1?\nAnswer: -0.88139633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -58344\/235 at least as big as -248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-55))\/((-22)\/121). What is the units digit of -1 - (t\/2 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npepeeennnmni. What is prob of picking 1 m, 1 e, and 1 i?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**15)\/u**(-22)*u*u**43*u\/((u\/(u\/(u\/(u**19*u)*u*u)))\/u))**3 assuming u is positive.\nAnswer: u**303","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2464927*y**4 + 20128*y**2 + 3*y - 2.\nAnswer: -59158248*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -10. What is the units digit of n + (-36)\/(4\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 6:28 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -216 - -215.999998757. Round o to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12110?\nAnswer: 2, 5, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -6436.178 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15123440 to the power of 1\/2, to the nearest integer?\nAnswer: 3889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*t - 27582 = 126383 - 31515. Calculate the remainder when t is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 0 + 1 - z - z. Let s be l(-1). What are the prime factors of (-2 + s)*2\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2750301?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 40932646899 and -0.2.\nAnswer: 40932646898.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28916.\nAnswer: 2, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 0)*(3*p**2 - 3*p**2 + p**2) + 0 - 1 + 2 - 3*p**2)*(-p**2 + 2*p**2 + 6*p**2) + 91*p**3 + 3*p**4 - 91*p**3.\nAnswer: -11*p**4 + 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256584*g**2 - 27204*g**2 - 479340*g**2 - 7250*g**2.\nAnswer: -770378*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 145 and 10788715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (785 - 158 - 289)*(3*i**3 - 2*i**3 - 3*i**3)*(3*i + 2*i - 4*i).\nAnswer: -676*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32479 is divided by 1405?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 8 = -4*u - 4, 5*u + 20 = 0. Solve 0*p + 4\/7*p**z + 0 + 0*p**2 + 4\/7*p**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5060.8 * -0.457.\nAnswer: -2312.7856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 264.5.\nAnswer: -26.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4189 and -0.32?\nAnswer: -1340.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-16))\/(795\/(-8)))\/(((-23184)\/(-189))\/184).\nAnswer: -2\/265","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 55. Suppose -r = -x + o - 5, 0 = 4*x + 2*o - 40. Calculate the least common multiple of x and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 4*b + 12, -2*b - 9 = -11*u + 8*u. Solve 7 = u*d - 5*i, -3*d - i = i - 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5 + 7. Let m(s) = s**3 - s**2 - s - 1. Let j(i) = -5*i**3 + 6*i**2 + 5*i + 4. What is g*m(f) - j(f)?\nAnswer: f**3 - 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5727871 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*k + 40, k + 22 = -5*x + 72. What is the lowest common multiple of 54 and x?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1967 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 18. Let f be n(-16). Let u be 4 + (-2)\/(-4)*f. Solve -15 - 10 = -u*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = p + 154, p = 4*c - 157 - 50. What is the remainder when c is divided by 315\/(-23 - -2) - -26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2333\/(-110) + 6\/(-10). Let k be ((-291)\/(-5))\/(-3) - 0. Let b = k - j. Calculate the common denominator of b and -73\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**6\/120 + i**5\/10 - 7*i**4\/12 - 79*i**3\/6 - 722*i**2 + 3. What is k(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 214*l - 216*l + 4, 10 = -2*x + 5*l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2849 = 3*a + 34*a. Let k = -10 - -21. What is the highest common divisor of a and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 651, 2358, 5205, 9198, 14343?\nAnswer: 20646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-128)*-6*8*(-3)\/(-36)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(((-43)\/(3870\/75))\/(2*1\/(-18)))\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -0.13, 4, 3\/13826, 1?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3673\/232 - -470\/29. Let y(r) be the third derivative of 0*r - 1\/40*r**6 - 3*r**2 + j*r**4 + 0*r**5 + r**3 + 0. Factor y(i).\nAnswer: -3*(i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119504 divided by -308?\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 + 1.2. Let a = r + -0.9. Let m = a - -0.6. Sort 6, m, -0.2 in descending order.\nAnswer: 6, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 15*v**4 + 3*v**3 - 19*v**2\/2 + 5*v - 25. Is 69 a factor of d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**5 + 2*r + 5*r - 3*r**5 - 3*r**5 wrt r.\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**5 - 3*d**4 - 4426020*d**3 + 180164607*d**2 wrt d?\nAnswer: -120*d**2 - 72*d - 26556120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 15 + 36 + -42.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -2 - 3) + -12 + (-5 - 6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2567 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.4 (b) 9 (c) -5 (d) 40\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -3, 408, -25, 3, 2 in increasing order.\nAnswer: -25, -3, -2, 2, 3, 4, 408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181057508?\nAnswer: 2, 139, 325643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*j + 111*j = 33408. Solve 5*t - 701 = -j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 8:55 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 598050.9 micrometers in nanometers?\nAnswer: 598050900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/24 - ((-57)\/(-12) + -7). Put s, -10, -2 in decreasing order.\nAnswer: s, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/178607 and -29\/16237?\nAnswer: 178607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from endnqnndnne.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/3 (b) 1\/4 (c) 1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/399 and -46\/19.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*m - 18619 - 12298 = 118*m. What is the remainder when m is divided by 80?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325)*-2 - (sqrt(65) + 1*sqrt(65) + sqrt(65))\/sqrt(5).\nAnswer: -13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 2*l**2 - 7*l - 2. Let s be d(-3). Suppose -5*t + s = 5*w, 5*w - 4*t - 1 = 9. Put 1, w, 0 in increasing order.\nAnswer: 0, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c - 780000. What is c rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115 - 165 - -62 - (2 - -1 - 17).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from {d: 1, v: 1, t: 2, h: 1, p: 2, y: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 b when three letters picked without replacement from {u: 1, b: 7, y: 2, c: 8, r: 2}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 0 (c) -5 (d) 10882\/5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -214 + 193. What is the remainder when -1 + 18\/14 + (-3354)\/h is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y - 1. Let q(b) = -b**2 + 7*b - 2. Calculate the remainder when q(6) is divided by s(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63928.1 years to decades.\nAnswer: 6392.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by ((-3)\/(-4))\/((-14)\/(-224))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27690 a multiple of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 1:46 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-22))\/((-45)\/18).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -7*b + 343. What is the remainder when 173 is divided by f(44)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1547*p - 15467. Let x be g(10). Solve 2*k = 1 + x, -m - 5*k + 6 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -377298, -754603, -1131908, -1509213, -1886518?\nAnswer: -2263823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14454005 and 2645.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 185 + -371\/2. Which is the second smallest value? (a) -4 (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 4*f - 6. Let z be t(6). Suppose z = 4*l - 0*b - 2*b, -2*l - 3 = -3*b. What is the third derivative of -y**2 - 12*y**l + y**6 + 12*y**3 wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 391740*o - 66480200.\nAnswer: -4*(o - 97765)*(o - 170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -466999.25 - 118.795?\nAnswer: -467118.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9308, 10839, 12372, 13907, 15444, 16983?\nAnswer: 18524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/33348 and -89\/3970?\nAnswer: 166740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358681?\nAnswer: 358681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4)*(2 - 4 + 1)*(7 - 17 - 12)*(k + 0*k + 0*k).\nAnswer: 44*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1220?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**6\/60 - j**5\/30 + j**4\/12 - j**3\/3 + 3*j**2. Let c be t(-5). Suppose c = w + 186. Solve w = -0*q - q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4431 is divided by 178.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105084.\nAnswer: 2, 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.104 (b) 8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhjhhxjhhxhxhhhj. What is prob of picking 2 x, 1 j, and 1 h?\nAnswer: 81\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/18*(-93)\/217?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.52 times -3.98\nAnswer: 6.0496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 12*p - 8*p, 5*p = 4*o - 45 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 + 0*u**3 - 56*u + 107*u - 49*u + 16*u**2 + 1 as b + q*u + a*u**2 + f*u**3 and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-151)\/(-263646)*4\/(-4). Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1807148 and 432397.\nAnswer: 1939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2250 and 199125.\nAnswer: 398250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*v + 11 + 13*v - 30*v - 15 + 151*v**2 to p + q*v + c*v**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 6:19 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8084 + -5563. List the prime factors of u.\nAnswer: 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -12*j**2 + 11*j - 41. Let s(c) = 6*c**2 - 5*c + 19. Let t(p) = 6*h(p) + 13*s(p). Let r be t(-1). Let g = -661\/1110 + -1\/222. Which is bigger: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -46*x - 94. Let h(q) = -50*q - 92. Let g(j) = -4*h(j) + 3*l(j). Differentiate g(y) wrt y.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = -8*l - 5*z - 288385, -173027 = -3*l + 4*z. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3\/5 + 77808*l**2\/5 - 622272*l\/5 + 1244416\/5.\nAnswer: -4*(l - 19444)*(l - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4*3769180\nAnswer: 15076720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -25*h**2. Let v(u) = -265*u**2. Give r(v(i)).\nAnswer: -1755625*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4497*t - 284443. What is i(-63)?\nAnswer: -1132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**5\/4 - 327*x**4\/2 + 6957*x**3\/2 + 127921*x**2 + 1058025*x\/4 + 95625\/2 = 0.\nAnswer: -17, -2, -1\/5, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 7432761?\nAnswer: 7432762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.1 - 4.02. Let o = x - -0.89. Which is the third biggest value? (a) o (b) 0 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - -5*(3 + sqrt(1900)))**2 + (sqrt(1539) + sqrt(1539) + sqrt(1539)*2 + 0)**2.\nAnswer: 1800*sqrt(19) + 93249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-8 + 2 + 3). Let h(z) = z**2 + 2*z - 1. Let q be h(d). What is the third derivative of 8*c**2 + 2*c**2 + c**3 - 6*c**q wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/8 (b) -3\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, l: 5, t: 1, r: 5}. Give prob of picking 1 l, 1 t, and 1 r.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*s**4 + 39*s**2 - 4*s - 22*s**4 + 47*s**4 - 32*s.\nAnswer: -3*s*(s - 3)*(s - 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*y + 137*y + 75*y to d + x*y and give x.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 666233473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2 - 2300*m + 661250 = 0.\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w + 5*w)*(9 - 90*w + 90*w - 3 - 16*w**2).\nAnswer: -48*w**3 + 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a = -11614 - 8641 - 8644. Calculate the least common multiple of 27 and a.\nAnswer: 4563","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 0*w + 0 - 5*w**2 + 0*w**3 + 0*w**4 - 1\/30*w**5. Let x(r) = -3*r. Determine x(k(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/5 of a gram in milligrams?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)\/g**8)\/(g**16*g*(g*g**10)\/g*g) assuming g is positive.\nAnswer: g**(-145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34681499995*t - 34681499995*t + 2*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 2:04 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*i = 284 + 647 + 224 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -5.9. Let d = -5 + 5. What is the nearest to t in -1\/3, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 3 + (-2 - -2). Suppose -2*t = -b + 9, 2*b + 21 = -5*t + 3. Let g be (b\/(-3))\/(2\/3). Sort r, g, 0.4.\nAnswer: g, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**10\/180 + z**6\/36 - 7*z**3 - 7. Let p(v) be the third derivative of t(v). Find the third derivative of p(l) wrt l.\nAnswer: -3360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 880*n**2 + 230400*n.\nAnswer: -5*n*(n - 320)*(n + 144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.010772 and 65.4.\nAnswer: 65.410772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Let v = 1 - n. Suppose -5*h = -v - 19. Solve -t - h*o + 31 = 2*t, -4*o + 16 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - y**2 + 0*y**2 - y)*(2*y + y - y) + y**3 + 7*y**3 - y**3.\nAnswer: 11*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 110 and -126.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 10344612?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 139\/(21962\/15484) - 93\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 + 2*d + 3*d - 2*d**2. Give l(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426 = -13*p + 7*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 1.68.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 215?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 20*n + 114. Determine a(13).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31229?\nAnswer: 11, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 6. Let p(q) = -6*q + 13 + 3*q + 0*q + 5*q. Let y(m) = 13*l(m) + 6*p(m). Let r(i) be the second derivative of 2*i**3\/3 - 3*i. What is y(r(o))?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(567) + 4 + -3*(sqrt(567) + -1) + 0.\nAnswer: -18*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2449358 from 9.\nAnswer: 2449367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**6\/240 - 47*c**5\/80 - 185*c**4\/96 - 23*c**3\/12 - 1418*c + 4. Let i(x) = 0. Calculate x.\nAnswer: -92, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + q + 7 = -4, -g = -4*q - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 3*j + 6*j)*(5 - 4 - 3)*(6 + 2*j - 6 - j + 0*j + 3*j + 1 - j - 1 - 3 - 2*j + 3 + (-2*j - 4 + 4)*(-2 - 1 + 4) - 3*j - j + 2*j).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/3 - 4334*c\/3 - 24463.\nAnswer: -(c + 17)*(c + 4317)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 5 (b) 0.4 (c) 350 (d) 0 (e) 20.3 (f) 1\/3 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 - 3*a + 866*a**4 - 867*a**4 + 10*a + 7*a**4 - 12*a**4 + 10*a**4 + (a**3 + 2*a**3 - 2*a**3)*(-2*a - a + 4*a).\nAnswer: 5*a**4 + 2*a**2 + 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-328)\/(-615))\/(2\/5)*(-99)\/12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 10, v: 10}. Give prob of sequence vvvu.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 45. Let d be (-3)\/(-9) - 161\/(-3). What is the highest common divisor of y and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003002 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.5, -5, 0.0399, -4, 1\/11, 11 in ascending order.\nAnswer: -5, -4, -3.5, 0.0399, 1\/11, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2194853 centuries to months.\nAnswer: 263.38236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 - 48*a**3 - 164*a**2 - 168*a.\nAnswer: -4*a*(a + 2)*(a + 3)*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 53*l**3 + l + 7. Let z(c) = 155*c**3 + 3*c + 19. What is -11*t(b) + 4*z(b)?\nAnswer: 37*b**3 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a**2 - 17*a**2 - 6*a + 129*a**3.\nAnswer: 129*a**3 - 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 399*k**2 + 321*k wrt k?\nAnswer: 798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -1525 (c) 0.1 (d) -0.054 (e) -5 (f) 0.32 (g) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27383841853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3276.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from oppmpopopko?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/52 - (-1204)\/(-162162)*18?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 5*w + 10. Let b = w + 39. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*i - 1664 + 824. What is the smallest common multiple of i and 434?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181790874.\nAnswer: 2, 3, 1291, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.033 - 0.059. Round w to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - l. Let f(h) = -368*h + 6*h**2 + 2 + 362*h + 3*h**3 - 3. What is -f(y) + 6*g(y)?\nAnswer: -3*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 353.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165654552?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3399\/20 + -171. Let z be -2 + (200925\/66)\/(-1). Let g = -3045 - z. Find the common denominator of w and g.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6524568 (base 11) to base 7.\nAnswer: -166330650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 20 = 4*r, 2*r - 15 = 2*k - 5. Suppose 0*d = 3*d, k = v - 2*d - 7. Let l(z) = z + 1. Determine l(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*2\/(-8)*2 - 313. Let l = 639\/2 + y. Which is smaller: l or 7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.4, 34, 2.8, -13, -6, 0.2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -4. Let x = b + 14. Solve -12 = -4*w + x*k + 8, -w = 2*k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15195, -15198, -15189, -15162, -15111, -15030?\n\"Answer: y**3 - 10*y - 15186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -111 - -351. Suppose k - 196 = -3*w, 4*w - d = -0*w + 4*k. What is the highest common factor of 16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-110)\/385)\/(288\/(-28)). Let q(a) be the second derivative of -2\/3*a**2 - 23*a - 2\/9*a**3 - u*a**4 + 0. Factor q(y).\nAnswer: -(y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 4*a**2 + 5*a - 6. Let i be f(4). Suppose -3*w + i = -w. Suppose -132 + 377 = 21*h - 490. Calculate the greatest common divisor of w and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 1. Let u(q) = -144*q + 132. Let t(z) = -2*u(z) - 264*x(z). Let p(k) be the first derivative of 9*k**2\/2 + 3512. Determine p(t(h)).\nAnswer: 216*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.08721 and 3194666860.\nAnswer: 3194666860.08721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.8 + 1.2. Let s = v - 9. Put -0.3, 5, s in descending order.\nAnswer: 5, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 7*s - 3. Let x(r) = r**2 - 8*r - 4. Let u = 8 - -33. Suppose 6*v - 2*v = -5*o - 43, -5*o - u = 3*v. Determine o*q(b) + 6*x(b).\nAnswer: -b**2 + b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 164432788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120214831 and 3509?\nAnswer: 3509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 2*z - 4. Let p be y(4). Let x = -59 + 59.57. Let n = x - 0.37. Which is the third biggest value? (a) p (b) -0.6 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 12*p**2 - 16*p - 20. Let x be m(-13). Let g(b) = x - 711 + 8*b - 45*b + 354. Let t(u) = u**2. Determine t(g(d)).\nAnswer: 1369*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) -5 (c) 4 (d) 78.67 (e) 0.03 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 11*t**3 + 3*t**2 - 159*t + 302. Calculate the lowest common multiple of u(2) and 2289.\nAnswer: 9156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -182, -355, -636, -1061, -1666?\nAnswer: -2487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n + 596. Let u(h) = -4*h - 592. What is 4*u(q) + 3*v(q)?\nAnswer: -q - 580","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/42*(-154)\/44. Solve 0 = f*a + 7*t - 8*t + 12, 3*a + 3*t = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 8. Suppose -7 + o = -w. Solve -3*a = w*n + 7, 0*a + 4*a + 20 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 665449.\nAnswer: -266179.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 652986055 to the power of 1\/4, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 46855909, 2.\nAnswer: -1\/5, 2, 46855909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32.768 + -0.368. Let n = 31.9 - b. Sort n, -1, -4 in descending order.\nAnswer: n, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 20 = 2*n, -2*n + t + 9 - 1 = 0. Solve g - m = m + n, -2*g + 2*m + 6 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4552 = -2*g - 5*z + 194, 4*g - 7*z - 9492 = 0. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 208745673 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 79*g - 797. Give s(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 - 15*l - 5. Let q(h) = h**2 + 8*h + 2. Let t(w) = 3*a(w) + 5*q(w). Suppose -29 + 4 = 5*x. Determine t(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from {z: 2, u: 9, h: 2}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1277000 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*k - 3. Let j = k + 3. Find the second derivative of 2*q**4 + 16*q**2 - 16*q**j + 2*q wrt q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1219303921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2\/125 of a kilometer?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 15 - 7. Calculate the remainder when 3 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + 4*sqrt(102)*-4)\/sqrt(6).\nAnswer: -15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/169, 2\/5, 2\/7, 4 in increasing order.\nAnswer: 1\/169, 2\/7, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*d + 10*d + 3196 - 840 = 0 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 8:13 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, f: 3, l: 2}. What is prob of picking 2 d?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (38\/(-2185))\/(8\/6*(-14)\/280). Which is the third smallest value? (a) 2\/15 (b) t (c) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*y, -2*f - 3*f = -2*y. Suppose f*x - 2 = -2*x. Let j = x + 4. Solve -k - j = 5*p, 5*k + 3*p = 2*k - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2288 + 4531. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 690*m**2 - 5*m + 10*m + 241 - 13*m + 1491*m**2 - 240 wrt m.\nAnswer: 4362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from {b: 4, c: 14}?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.4, -0.1, 1, -3.4, -0.2 in increasing order.\nAnswer: -4, -3.4, -0.2, -0.1, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17674865 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 9. Let h(m) = 42*m**2 - m - 1. Let q be h(k). Suppose -132 = -4*v - 5*x + 2, 5*v + 5*x - q = 0. List the prime factors of v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8298057847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10996 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112 + 73. Let i = 30 + x. Put 3, -0.1, i in decreasing order.\nAnswer: 3, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3dc5 (base 14) to base 6\nAnswer: -122413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -643*k**3 - k**2 - 562*k + 1?\nAnswer: -3858*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1bc505c + -1?\nAnswer: 1bc505b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4 + -6)*-1)\/(1*2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1233\/1289 or -1?\nAnswer: -1233\/1289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31.35 + 31.3. What is the nearest to 2\/5 in z, 1\/7, -2\/15?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4425, -4288, -3715, -2424, -133, 3440, 8577?\n\"Answer: 47*g**3 - 64*g**2 - 4408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11948*c + 27240 with respect to c.\nAnswer: 11948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -1\/3, 2, -241 in decreasing order.\nAnswer: 2, -1\/5, -1\/3, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9434 and 22843.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 10. Determine t(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) 0.2 (c) 17 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3 - 1. Sort -4, o, 0.\nAnswer: -4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = 62*l + 45. Let d(s) be the third derivative of 1\/6*s**3 + 1\/12*s**5 - 1\/120*s**6 + 0*s - s**2 + 0 - 1\/12*s**4. Calculate d(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-15)\/2) + (-30)\/75. Suppose -5*z = h - 23, 4*z - 7 - 3 = -5*h. Suppose -7*k = -z*k - 8. Which is the nearest to u? (a) -1\/8 (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**4\/4 + o**3\/2 - o\/2 - 1\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/3936 and 65\/1476.\nAnswer: 11808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 smaller than 103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**11\/a*a)\/a)\/a*(a*a\/(a\/(a*a**9*a)))\/a*a*a**(2\/7)\/a*a*a\/(a\/a**(-2\/33)))**(-26) assuming a is positive.\nAnswer: a**(-127478\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p = -32*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*m = -211724, 34*m - 33*m - 158779 = -3*z. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-12) + (-16)\/(-6). What is the greatest common factor of k and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -508 + 508 + 26*w**3 + (2 - 1 - 3)*(3 - 3 - 2*w**3) + w**3 + 3 - 3 + (-3*w**2 + 7*w**2 - 2*w**2)*(322 + 12*w - 322) - 2 + 2*w**3 + 2.\nAnswer: 57*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 7 - (1 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-3))\/((-54)\/14985). Let v be r\/(-65) + (-1 - 3) + 7. What is the nearest to 1\/2 in v, 1\/8, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5980 - -6011 - (1 + 3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**2 - 31183893*h + 31183890 = 0 for h.\nAnswer: 1, 10394630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.07188680811 and -0.5.\nAnswer: -0.42811319189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-1\/2)*q)*q)\/q*q*q)**(5\/11)*(q**8*q)\/(q\/(q*q*(q**(1\/6)*q)\/q)) assuming q is positive.\nAnswer: q**(373\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43397\/108480 + -1\/21696. Suppose v = -v + 2. Which is the biggest value? (a) 0.1 (b) p (c) v (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, i: 1, x: 4, f: 9, c: 1, p: 4}. What is prob of sequence iac?\nAnswer: 1\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -295033780358 - -1.8\nAnswer: -295033780356.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**6)\/w**(-9\/7))**2 assuming w is positive.\nAnswer: w**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 83, 197, 367, 599, 899?\nAnswer: 1273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 72009810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/5*(-40)\/(-18).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g*g*g**8*g*g)))\/g**(1\/5))**29)**(-10\/7) assuming g is positive.\nAnswer: g**(-3422\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1579220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*c**3 + 8*c**3 + 207*c**3.\nAnswer: 318*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = l + 9. Let q be ((-2)\/l)\/((-4)\/12). Suppose 2*z + q*z = 12. Solve 0 = 5*m - 4*m - 4*j + 3, -z*m = 2*j + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x + 2*x + 2*x - x. Let d(o) be the third derivative of o**5\/60 - o**2 + 48*o. Determine k(d(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*d**3*m**3 + 248469*d**3*m + 5479276*m**3 + 162*m wrt m.\nAnswer: -30*d**3*m + 32875656*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 689838.7kg?\nAnswer: 689838700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -342689\/20 - -17131. Find the common denominator of 47\/64 and l.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47\/162 - 5467\/4050. Find the common denominator of 2\/105 and l.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 551906\/(-321)*(-3)\/2. Solve -v*f = -2568*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*h + 22 - 4*h)*(-4 + 4 + 4*h**2).\nAnswer: -16*h**3 + 84*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90644780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 60. Let w(j) = -3*j. Give w(c(v)).\nAnswer: -6*v + 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*6\/(-2)*(-3)\/(-63)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9*i + 116. Let r(c) = 20*c + 261. Let v(n) = -9*j(n) + 4*r(n). Let q(x) = 1119*x. What is v(q(u))?\nAnswer: -1119*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*q - 0*q + 40, 0 = -l - 3*q - 21. Is 214\/4 - l\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -516 + 2*v**3 - 56863*v**4 + 5522 + 58085*v**4 wrt v?\nAnswer: 4888*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (13 + -7) - (5 - 1 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 12:39 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 99684643 a multiple of 941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3590 and 46490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/((-190)\/60) - (-7 + (0\/8 - -6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 3*k - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 3*k - 5. Let x be ((-18)\/(-21))\/((-4)\/28). Let j = x + 14. Is a(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1160 or -767?\nAnswer: -1160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u + 6 = 0. Let o(y) be the first derivative of -y**4\/4 + y**3 + y**2\/2 + 4*y - 15. Calculate o(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -i + 144 - 37, -i - 5*n + 109 = 0. Suppose -14*r = 20 - i. Calculate the remainder when 22 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 less than 0.094?\nAnswer: 27.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-50)\/(-175) - (-62)\/77. Suppose -5*c = 14 + 11. Let y = c - -7. Which is bigger: y or r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001035070649 to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11958 is divided by 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**2 + 0*c**2 - 3*c**2 + (2 - 2 + 2*c)*(2*c + 7*c - 20*c)*(-2 + 3 - 3) to s + v*c**2 + f*c and give v.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1164910 + 7010147\/6. Let g = d + -3425. Let q = 56\/75 + 2158\/525. What is the common denominator of g and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (390\/(-234))\/(5\/(-72)). Suppose -3*y - 25*l + 296 = -k*l, -2*y + 184 = -2*l. Let w = -19 + 39. Calculate the remainder when y is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68335?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897 is divided by 395.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 4:00 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 26*h + 33. Solve -h*o = f - 8 - 8, -4*f = -16 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**5 + 6*v**4\/5 + 9*v**3 - 48*v**2\/5 + 12*v\/5 = 0. Calculate v.\nAnswer: -2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 750 - 870 + 5*t**2 + 0*t**2 - 10*t = 0?\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 1:59 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30235206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/2 and (16\/12)\/((-3)\/(-21))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9384 divided by -6?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 8*g**2 - 17*g + 108. Let a be z(9). Let b = -142 - a. Which is greater: -120\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*x + x + 2*x)*(x + 0 + 0) - 2*x**2 - 2*x**2 + 3*x**2 - 7*x**2 - 3*x**2 + x**2)*(0 - 2 + 3) - 2*x**2 - x**2 + x**2 to g + b*x + r*x**2 and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*360088.\nAnswer: 9002200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p**2. Let r(a) be the first derivative of 6*a + 88 + 1\/2*a**2. Determine r(f(o)).\nAnswer: -4*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85308210 + -85307505.37773. Let k = 704.7 - r. What is k rounded to 3 decimal places?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -7569*m**4\/2 + 1324923*m**3\/2 - 26786229*m**2 - 195758790*m - 62252100 = 0.\nAnswer: -6, -1\/3, 2630\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2086486 and 527.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(5\/6)*120\/(-90).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -510 + 513. Let d(q) be the first derivative of -17\/3*q**g - 4*q + 5\/4*q**4 + 8*q**2 + 7. Factor d(v).\nAnswer: (v - 2)*(v - 1)*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m + 2. Let r(n) = 2*n**2 + n + 1. Let h be r(-1). What is c(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24, 55, 104, 183, 304?\n\"Answer: 2*y**3 - 3*y**2 + 26*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9*(-16)\/(-72)*(-4558977)\/(-54) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171 - 128. Which is the second smallest value? (a) 1 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, m: 2}. What is prob of sequence nnm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*i**4*w - 140*i**4 + 4*i**3*w + i**2*w - 7*i + 396939*w wrt i.\nAnswer: 672*i*w - 3360*i + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 439\/5 - 87. Find the common denominator of ((-92)\/6 - 1) + 2 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 86.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4\/3 + 26*o**3\/9 - 352*o**2\/9 - 616*o\/3 - 64 = 0. Calculate o.\nAnswer: -6, -1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -32. Suppose -2*u - 4*r = -20, -2*r + 17 = w*u + 1. Solve 3*h = -u*b - 3*b + 35, 0 = 2*h - 2*b - 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16\/3*n**2 + 0 + 8\/3*n**4 + 4*n - 20\/3*n**3 = 0 for n.\nAnswer: -1, 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, 1, -3711548 in ascending order.\nAnswer: -3711548, -0.8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25221065 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 c(n) = n**2 + 6*n + 4. Let m be c(-6). Solve -2 = m*b - v, -2*b - 2*v + 4 = -5*v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -34162, -34156, -34148, -34138, -34126, -34112?\n\"Answer: r**2 + 3*r - 34166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.6 and -197901?\nAnswer: 197896.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676 - 835 = 305*h + 4416 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 5*y = 2, 0 = -122*z + 125*z - 3*y - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 6 + 34. Suppose 0 = -6*g + g + l. Differentiate 0 - 5*y**3 + 2 + g with respect to y.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 3 + -14 + -4 + 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 68175089, 68175087, 68175085, 68175083?\n\"Answer: -2*p + 68175091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -674, -1349, -2072, -2849, -3686, -4589, -5564?\nAnswer: -6617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014305872411 rounded to 7 decimal places?\nAnswer: 0.0014306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13990?\nAnswer: 2, 5, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, r: 1, z: 4, f: 2, c: 6}. What is prob of picking 2 f?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**3 - 2096*l**2 + 8288*l + 52. Give v(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 362308.7792 rounded to the nearest ten?\nAnswer: 362310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 + 7*j**2 - 3*j + 4. Does 4 divide f(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 45.724.\nAnswer: -137.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6085.205 days?\nAnswer: 525761712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 356170877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, 348, -3\/7, -2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 65525, 65191, 64875, 64577, 64297, 64035, 63791?\n\"Answer: 9*r**2 - 361*r + 65877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 245*f + 4, 5*q - 4*f = 449 - 444 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**5\/15 + 5*f**4\/24 + 13*f**2. Let n(v) = v**2 + 1. Let a(p) = 3*n(p) + w(p). What is a(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + -1411?\nAnswer: -1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7318 - 7322. What is the third biggest value in 1, -16, l, 0, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -4*x + 822. Calculate the remainder when (-2 - x\/(-3)) + (-14)\/(-21) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.12709 years to decades.\nAnswer: 2.612709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/60)\/((3\/4)\/(-3)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**5\/60 + h**4\/24 - h**3\/6 - h. Let w(s) be the second derivative of m(s). List the prime factors of w(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*t + 242 = 157*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 85 = -5*t, -y + 140 + 75 = 21*t. Let p be -468*(-1)\/(2\/3). Calculate the highest common factor of y and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 34 - 9*u**3 - 30.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, r: 2, p: 3}. What is prob of picking 2 r?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 214466831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -9793*l**3 + l + 1. Let p be h(-1). Is (-22)\/11 - -1*p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r. Let t = -1 - -1. Let w(p) = t*p**2 + p**2 + 0 + 0. Determine o(w(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3902203 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**4\/12 + 2*j**3 - 31. Let i(w) = 0. What is w?\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -416821902 divided by 2.\nAnswer: -208410951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from {b: 2, z: 1, i: 1, e: 1, g: 2, f: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2*t = 4, -2*s + t + 3 - 2 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (47\/94)\/((-2)\/36). Let w(m) = -8*m**2 - 12*m - 3. Let j(r) = 7*r**2 + 11*r + 3. Let c(d) = 7*j(d) + 6*w(d). Give c(u).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131199615, 131199618, 131199623, 131199630?\nAnswer: 131199639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6539 - -6548. What is the third smallest value in -0.5, -2\/7, y, -20?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -798*l + 774*l - 72 = 0. Let z = 13 - 12.7. Put 43, 0.5, z, l in increasing order.\nAnswer: l, z, 0.5, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527221471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 4535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaavvaaa. Give prob of sequence va.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*i + 48*i = -123. Let b = i + -123. Solve -v + u - 8 = 0, 3*u + b*u + 4 = -4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -9*m + 5. Let y(w) be the second derivative of 0 - 20*w - 1\/2*w**2 + 1\/6*w**3. What is r(v) + 4*y(v)?\nAnswer: -5*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -36996 less than -36995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 8:50 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1 = -3. Suppose 3*c = -a + 25. What is the third derivative of 2*z**2 - 2*z**3 - 2*z**3 + c*z**3 wrt z?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10857)\/99*(0 + -3). Suppose -2 = -g + 45. What is the greatest common factor of o and g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -796, 2, -5, -202222 in descending order.\nAnswer: 2, -5, -796, -202222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**3\/3 + 2*r + 160. Let a(y) = -5*y + 30. Give a(c(z)).\nAnswer: -10*z + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 0*j**4 + 0*j**2 + 0*j**3 + 3*j + 6\/5*j**5 - 4. Find the first derivative of v(k) wrt k.\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*p = 122, 7*i - 198 = 4*i + 3*p. List the prime factors of i.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47 - (3 + (4 - 7)).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/11 + 56665652*w\/11 + 401374514573138\/11.\nAnswer: 2*(w + 14166413)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6517*c - 482412. Calculate n(74).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 219179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.1244107 seconds to minutes.\nAnswer: 0.035406845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (84 - 109)*81\/(-15). Calculate the greatest common factor of r and 42795.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 2:17 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*g*m**2 + 9*g*m*w**3 + 2*m**2*w - 44*w**3 wrt g.\nAnswer: 16*m**2 + 9*m*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001111110110000 (base 2) to base 11.\nAnswer: 28794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4604 - 6741 = 115*o + 5455 - 3000 for o.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 + 4*c - 5. Let y be l(1). Let t be (2\/1)\/(-2) + 5. Suppose -3*p + 876 = y*i + i, 0 = -t*i - 4. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/7 and -52\/17985?\nAnswer: 125895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 322116 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16961452?\nAnswer: 2, 19, 67, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**(-7)))\/q*q*q\/q**(1\/21))\/(q*q\/(q*(q\/q**(-2\/9))\/q*q))**1)**40 assuming q is positive.\nAnswer: q**(-14680\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/30*3*-5. Suppose -v - 3*c = 2*c - 2, 5*c = -t*v + 8. What is the remainder when 41 is divided by 7\/((-3 - -4)\/v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 2*j = -10*g - 13562, -g = j - 2718. Suppose -g = 9*q + 841. Is -395 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.96 + 43855?\nAnswer: 43850.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8089683.\nAnswer: 3, 7, 385223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1644 divided by -4.\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vevvtttvvvev. Give prob of picking 4 v.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-65 - 25 + 89 - 1148*v)*(v - 4*v + v) + 3*v - 3*v + 3*v**2 to the form r + f*v**2 + c*v and give f.\nAnswer: 2299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3153 + 5777. What are the prime factors of s?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1337059739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203 + 20323111213?\nAnswer: 20323112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a decade in months?\nAnswer: 1176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 - x**4 + 2*x**3 + (-5*x**2 + x**2 + 3*x**2)*(-4 + 2*x**2 + 5 + 2).\nAnswer: -3*x**4 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 j when four letters picked without replacement from {s: 6, j: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, h: 2}. Give prob of sequence ehee.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39317279303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/(x**(-2\/23)*x)*x)\/x*x)*x\/((x*x*x**(-23)*x*x)\/x))\/(((x\/(x**(7\/2)*x*x))\/x)\/x**(-9)))**(-22) assuming x is positive.\nAnswer: x**(-8811\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (125 + 161145\/(-1287))*-44\nAnswer: 120\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 0*g**3 - g**3 + 532*g**4 - 256*g**4 + 2 - 278*g**4 + g**2 as b*g**3 + j*g**4 + f*g + v*g**2 + l and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in 4\/7, -6, 5, 1\/46?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.358 - -0.367. Which is the nearest to -1? (a) -2 (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + -83 + 65 + 23?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**4\/5 - 32436*w**3\/5 + 131479322*w**2\/5 + 52611192*w + 26308840 = 0.\nAnswer: -1, 8110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2206543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3703114792 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(0 + sqrt(1377)))**2 + sqrt(1377))*-5.\nAnswer: -6885 - 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 5*q**4\/3 - 6*q**3 + 19*q**2 + 2*q. Let c be n(1). Solve c*w = 6*w - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 9*c + 10. Let x be a(8). Solve -3*u = -3*z + 5 - 20, -4*z - x = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284271 to the power of 1\/2, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0, 2197, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 47*x + 165. What is j(43)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w. Let k(i) be the third derivative of i**7\/504 - 59*i**5\/60 - i**4\/12 + 64*i**2. Let u(p) be the third derivative of k(p). Give u(o(c)).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1966488nm in centimeters?\nAnswer: 0.00000001966488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7298182235 less than -2?\nAnswer: -7298182237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r + 10*r - 20 + 0*r**2 + r**2. What is the units digit of k(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 4*w + 6. Suppose -4*q = 3*p - 78 + 16, 0 = 3*p + 6. Let h(m) = -4*m - 16 + 15*m - 1 + 3*m**2. Let v(z) = q*c(z) + 6*h(z). Calculate v(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -465*z**2 - 102597*z + 4251390 with respect to z.\nAnswer: -930*z - 102597","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l = -8. Suppose 0 = -3*c + 3 + 9. Find w such that w**4 - 4*w + 6*w**2 - l*w**4 + 3*w**c - 2*w**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -43*j**7\/70 - 19*j**3 + 95*j**2 - 47*j. Let w(h) be the first derivative of r(h). Differentiate w(z) with respect to z.\nAnswer: -516*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301750103 - 301750103 + 2*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wyywwwwwwy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -706 + 807. What is the smallest common multiple of 3 and z?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/((l**(-5)\/l)\/l))*l)\/(l*l**(2\/17))*(l**(-2\/5)\/l)**(-1\/26) assuming l is positive.\nAnswer: l**(-13401\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 567, 574, 603, 660, 751, 882?\nAnswer: 1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24, 96, 222, 402, 636?\n\"Answer: 27*u**2 - 9*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 + -7264 + 7252?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + y. Let t(o) = 2*o**2 + 2*o. Give -4*k(b) + t(b).\nAnswer: -2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11061 - -23061. Round l to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 182162.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/15)\/(4\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/2 - (0 + 0). Let k(u) = -u**3 + u**2 + 3*u + 3. What are the prime factors of k(b)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*-1*(((sqrt(176) - (sqrt(176) + -2))*-1 - sqrt(176)) + sqrt(176)))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-8)\/(-2 - -6). Suppose y = -5*s + 60. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 8667*d + 1322557. What is o(-150)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**5 - 6*v**5 + 2*v**5 + (-5 - v + 5)*(3*v - 4*v + 2*v)*(-322*v + 15*v**3 + 322*v) + 8*v**5 + 22*v**4 - 22*v**4.\nAnswer: -9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 4 - (-2635)\/187?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -308, -275, -220, -137, -20, 137, 340, 595?\n\"Answer: o**3 + 5*o**2 + 11*o - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*y + 4 - 14 = 0, -4*b - y + 19 = 0. Suppose 3*v + 3 = -3*g, -v - 5 = g + 4*g. Find the second derivative of w + 2*w**4 + v*w**b + w wrt w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(4389\/(-152)))\/((-4)\/(-14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, 2\/21, -13, 0.4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2 - 3. Suppose -4*y + 808 = v*q, -q = -y + 53 - 211. Calculate the greatest common factor of q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 plus 361?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/27 and -68\/11391.\nAnswer: 102519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l**3 + 3*l**2 + 3*l + 2. Let c be k(-1). Let q(s) = 5996*s + 24. Let a be q(c). What is a rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 199522, 399681, 599838, 799993, 1000146?\n\"Answer: -n**2 + 200162*n - 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, -455 in ascending order.\nAnswer: -455, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + c = 3*l + 15, 2*c = -5*l - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52.38 - 53. Let o = -0.3 - 0.2. Let s = o - c. Round s to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(3)*2 + (sqrt(36)*-1)\/sqrt(12) + (sqrt(27) - sqrt(432))*3)**2*1.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 39\/(-2) - (-4)\/(-8). What is the common denominator of (66\/j)\/((-2)\/(-5)) and 7\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - d. Let c be k(0). Suppose 3*w + c*w = 0. Suppose 4*m = -w*m + 8. Solve m*r + 3 = 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -46, 14, -22?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/238 and -20\/3661.\nAnswer: 124474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2772332, -2772349, -2772368, -2772389, -2772412, -2772437, -2772464?\nAnswer: -2772493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*y - 35*y + 39*y - 213*y - 18*y.\nAnswer: -329*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/6743 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1891 = 40*i + 1891. Sort i, 1, 460 in ascending order.\nAnswer: i, 1, 460","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/44 + 3\/11. Suppose 2*v + 1 = 11. Suppose 19 = 4*h - v*k, -2*h - 4*k - 13 = k. Is y less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3028984, 3028991, 3028998, 3029005, 3029012?\n\"Answer: 7*g + 3028977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 829 - 827. What is the third biggest value in 6, -7, 1\/5, v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**4\/24 - 7*r**3\/3 + 68*r**2. Let s(d) = 2*d**2 + 25*d + 66. Let w be s(-7). Calculate u(w).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - -1 - 12*(-3)\/6. Find the third derivative of -300*a**s + 66850 - 66850 - 258*a**2 wrt a.\nAnswer: -18000*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2. Let l(q) = 11*q + 8. Let j(a) = 5*a + 3. Let w(y) = 9*y + 5. Let d(z) = -5*j(z) + 2*w(z). Let v(f) = 8*d(f) + 5*l(f). Give u(v(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 11*m**5\/20 + 3*m**4\/8 + 7*m**3\/2 - 20*m**2. What are the prime factors of f(-3)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 18 = 2*p + 2, 0 = -3*d + p + 11. Suppose -5*s = d*l - 8, 5*l - s = -3*s + 20. Suppose f - 92 = l*u, -426 = -5*f + 3*u - 51. Does 24 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -126*m + 114*m + 3120. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 2*r**7\/7 + 5*r**4\/6 - 11*r. Find the third derivative of f(h) wrt h.\nAnswer: 720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-4 - -6) + 15 + -85 + -10 + -5)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 1)*(9 - 2*t**2 - 9)*(1 - 2 + 4 + t)*(-5 + 1 + 13).\nAnswer: -90*t**3 - 270*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4) - (-78)\/8. Suppose -l - 4*l = -b. Suppose l = 2*j - 8. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/14)\/(14\/1568*-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 26*d**3 - 4. Let h be q(3). Suppose -2*i + g - 5*g + h = 0, -5*i + 1793 = -2*g. Suppose -b + i = 120. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2475.74 and 215.8.\nAnswer: -2259.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3222\/56385*(-20)\/(-6))\/((-6)\/(-45)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v + 5. Let w(l) = 2 + 6 + 3 + 4*l - 2. What is 11*i(d) - 6*w(d)?\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (2 + 47) - 19 - (9 + 0).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 589, -2, -4, 51 in increasing order.\nAnswer: -4, -2, 51, 589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2054601?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -18*h + 67, 13*h - 18*h + 30 = 2*r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4520475*r**5 + 13*r - 26145.\nAnswer: -90409500*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q, -2*q + q = 2*t. Determine b so that 0*b**3 + 0*b + t*b**4 + 0*b**2 + 0 - 2\/7*b**5 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.15 (b) -1\/6 (c) -1\/4 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1282273278.\nAnswer: 2, 3, 11, 13, 41, 36451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 906 + -499. Let h = -402 + u. Let s(y) = -2*y**2 - 8. Let i(a) = -a**2 - 4. Determine h*i(m) - 2*s(m).\nAnswer: -m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 13748448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-2)*(-30)\/(-60)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 26 - 20. What is the first derivative of o + 7*i**2 + i - 10*i**2 - 3 wrt i?\nAnswer: -6*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 234159*t - 11. Calculate p(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -23243+80548\nAnswer: 57305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28380 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 15 = 1. Let z be -4 + (20\/(-8) - p)*-8. Solve 8*u - 13*u - 15 = z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - 2) + (47 - 62 - (-2 + (-19 - 5))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12431365 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 62*q + 566. Let w be z(-9). Solve 6*n + w*n = 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47237933 divided by -6887.\nAnswer: 6859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 4 + 7)*(-5*f - 1 + 1) - 5 + 5 + 2*f to the form p*f + v and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -k - 8. Suppose -k*z = -0*z - 5*v - 121, -z + 4*v = -44. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -552*p**2 - 138*p - 13. Let n(x) = -x**2. Calculate t(n(q)).\nAnswer: -552*q**4 + 138*q**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f + 6 + 3*f - 3*f - 6*f. Let o(z) = 1. Let y be -3*(0 + 1\/1). Let u(g) = y*o(g) + n(g). Let p(i) = 3*i - 5. Give 4*p(d) + 7*u(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 + 140. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from opxppxpxxxxxppxnxpp?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(1\/4)*m*m)\/m**(-5))\/((m**(-2\/5)*m)\/m**(-4)) assuming m is positive.\nAnswer: m**(93\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -95087 - 6491?\nAnswer: -a0568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1442250, 0.02, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 236 + -203. Calculate the remainder when i is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -5 - (-8 - (-6 + -7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -7*k + k, -g - k = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 463796260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7360 and 11200.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -5 + 56 + -315 + 334.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 143*z**2 - 33*z. Let h(t) be the first derivative of 22*t**3\/3 - 5*t**2\/2 + 213. Calculate 33*h(n) - 5*u(n).\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 28 + 4)*(200*o + 68 - 33 - 37).\nAnswer: -2600*o + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.6539 < -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2492795 = l + h, -2*l - h = -4985590. Suppose l - 722795 = -3*f. Round f to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 338 - 189. Let s = 152 - r. What is the smallest value in 2\/5, s, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c - c**2 + 0*c**2 - 3*c**2 + 4*c**2 + (-c + 0 + 0)*(-c + 2*c - 2*c) + 1 - 1 + c**2 + 3*c + 2*c**2 - 3*c)*(20 - 11 - 2)*(4*c + c - c).\nAnswer: 112*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10, j: 2}. Give prob of picking 1 z and 2 j.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 1:34 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a**5 + 18248*a**4 - 84804*a**3 - 139448*a**2 - 36384*a = 0 for a.\nAnswer: -1, -1\/3, 0, 6, 1516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55184 = 1344*v + 92*v + 3488 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 20?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iasixbna. Give prob of sequence isb.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1573)*-3 - sqrt(1573) - sqrt(1573))*-6)**2 + (5*sqrt(1573)*-2)**2)*-3.\nAnswer: -4719000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 6:46 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1329\/10 - 133. Let h = 0.5 - 0. Let n = h - 0.3. Which is the biggest value? (a) i (b) 0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q = 20 + 34. Let x(r) = -r**3 + 5*r**2 + 6*r - 4. Let g be x(6). Let k be 10\/(-4) + 2\/4. Sort g, k, q.\nAnswer: g, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -91\/1830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36531 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -654402 + 654405. Suppose 1\/2*w**4 + 1\/2*w**2 + 0 - 2*w**m + 3*w = 0. What is w?\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-9) + (-12)\/(-72)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**2*l**3 - 26094*k**2*l**2 + 2*k**2*l + 4*k**2 + k*l**3 + 12*k*l - 22768*l**3 wrt k.\nAnswer: 4*l**3 - 52188*l**2 + 4*l + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by -3.\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 596130 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6198 * -2\nAnswer: -12396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 0) + (1 - 7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 81 = l + 3*j, 5*l - j = 123. Let r = 694 - 622. Calculate the remainder when r is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1390)\/(-3) + 11\/(-33). Let g = -478 + 155. Let b = m + g. List the prime factors of b.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -659970 to the nearest 10000.\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/35)\/b)\/b**39*b*b**(-1\/63)\/b*b**(-19))**(-7\/3) assuming b is positive.\nAnswer: b**(18572\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3590.85 to the nearest 10.\nAnswer: -3590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 + 264. Let s = -186 + m. Suppose -y = -4*l - 3, -l + 15 = 5*y + 4*l. Solve 2*n - y*p = -3*n + 13, 0 = -3*n - s*p + 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11318ff - 0?\nAnswer: 11318ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*i + 35 = 0. Let r(z) = -2*z + 3. What is r(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.635\nAnswer: 3.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 - 4*a**2 + a**2 + (91*a - 502 + 502)*(60 - 60 - 11*a) as m*a + k*a**2 + p and give k.\nAnswer: -1002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 590919, 590915, 590907, 590895, 590879, 590859, 590835?\nAnswer: 590807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.50488ml?\nAnswer: 0.00350488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a48 + 43?\nAnswer: -1a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 135719, 271405, 407093, 542783, 678475, 814169, 949865?\n\"Answer: c**2 + 135683*c + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 9 = 1. Suppose 3*j - 494 = 8*j + 2*n, j + n = -100. Is (j\/6)\/(a\/6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1612096 is divided by 196?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 33 - 30 - 4\/((-4)\/3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -h + 4, 2*v - 4*v + 3*h = 12. Suppose 0 = -2*i - v*i + 16. What is the highest common factor of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 55*r - 25. Let t(a) be the third derivative of 3*a**4\/8 - 2*a**3\/3 - 4*a**2 - 7*a. Calculate -25*t(p) + 4*z(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0185812 - 0.0184. What is v rounded to six dps?\nAnswer: 0.000181","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-11) - 1048\/(-44). Suppose -5*s - 3*o = -28, 0 = 5*s - 0*s - o - z. Find the first derivative of -1 + h**2 - s*h**2 - h + h wrt h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 divided by -4901?\nAnswer: 108\/4901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2. Let i(s) = -2*s**2 - 1183*s. Determine i(w(h)).\nAnswer: -2*h**4 - 1183*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 155 + -74. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 71. Calculate the highest common factor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 3*p, -1131*z + 10 = -1132*z - p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**2\/2 - 6*w - 58. Determine l(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzppzzzzppzzpzz. What is prob of picking 2 p and 1 z?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-nine fifths of a hour?\nAnswer: 42480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -3d6?\nAnswer: -3d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -85473?\nAnswer: 17\/85473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -133174 - -63284. Round b to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 3*c - 29 = -24*a, 0 = 4*a + c - 19. Sort -1\/44, a, -2.\nAnswer: -2, -1\/44, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-768)\/48*1 - 8224\/(-516))*(-2)\/(-8).\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1216 = 38*x - 42*x. Is x a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -1\/2*m**2 + 2*m + 35. Let o be r(0). Solve -x + o = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977113321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 j when three letters picked without replacement from jhhjjjhjhjjjjjhjjjj?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*a - 39*a + 360 = 86*a. Put -5, -4, -16, 2, a in descending order.\nAnswer: 2, a, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23, 1, 6\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*s**2 - 1 - 2 - 1 - 2*s**2 wrt s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/40200 and 169\/112560?\nAnswer: 562800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77\/(-1) + 490735\/10015.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 44. Suppose -3*b - 5*i + 1 + 162 = 0, 2*b - 2*i = 98. Let y = b + -45. Solve -y*u + 3*u = -k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 17316*f**2 - 315*f - 18. Let z(t) = -2885*t**2 + 54*t + 3. Calculate 6*h(b) + 35*z(b).\nAnswer: 2921*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -264 - -336. Let k = 84 - v. What is the remainder when 95 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**3 - 20*q**2 + 35*q + 50 = 0.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 + n. Let x be p(1). Let y be 2 + -2 - 2 - 4. Let s(a) = -a**3 - 5*a**2 + 7*a + 5. Let q be s(y). Put -6, q, x in descending order.\nAnswer: q, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**4\/16 + b**3\/4 - b**2\/2 - 3*b + 57. Factor z(u).\nAnswer: (u - 2)*(u + 2)*(u + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**3 + p**2 + 2*p + 36. Let v(j) = 8*j**3 + j**2 + 3*j + 54. Give 7*m(k) - 5*v(k).\nAnswer: 2*k**3 + 2*k**2 - k - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 11*o**2 + 100*o - 572. What are the prime factors of u(6)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = -8*z + 1489. Let l = 3088 + z. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -111715, -111724, -111731, -111736, -111739, -111740?\n\"Answer: i**2 - 12*i - 111704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 82*r + 177. What is the thousands digit of c(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agaagsgsgggssgsga. Give prob of picking 2 g.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**6*p)**(-2\/31)\/((((p**(-13)*p)\/p)\/p*p)\/p*p*p\/(p*p**(-10)*p)) assuming p is positive.\nAnswer: p**(108\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 112 - 49 = 4*q, -4*t + 215 = -5*q. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 4:38 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*(4 + sqrt(153)*-2 + sqrt(153)).\nAnswer: -12*sqrt(17) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, h: 5}. Give prob of picking 2 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*b + 154 = 0, 10*b - 72 = -j + 13*b. Solve j = -6*y + 63 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -833*c**5 - 220143*c**4 - 713151*c**3 - 161845*c**2 + 61656*c + 15660 = 0.\nAnswer: -261, -3, -2\/7, 5\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 1. Let y(g) = -g**2 - 3*g + 3. Determine 3*h(v) - y(v).\nAnswer: -3*v**3 + v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2304 divided by -59\nAnswer: -2304\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 2*a = 174, 44*a - 57 = 3*d + 39*a for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -12)*(-4)\/(-2). Let r = -5 - f. Suppose -183 = -6*m - r. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {j: 2, f: 4, i: 1, k: 2, a: 2, c: 8}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 798.\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(343)*2 + (0 + sqrt(567) - 1*(sqrt(7) + 0)).\nAnswer: -62*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -34. Let q be 16\/9 - 2\/(-9). Let y be q\/3 + 22\/3. Solve -3*s - p = y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -921622 divided by 1.\nAnswer: -921622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)\/(b*(b\/b**(-2\/11))\/b))\/(b\/(((b*b**(-3)*b*b)\/b)\/b)*b**1) assuming b is positive.\nAnswer: b**(-123\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5))**(-4\/7) assuming f is positive.\nAnswer: f**(-8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 1. Let l(y) = -7*y + 3. Suppose 0 = 7*h + 15 + 6. Let i be (-2)\/(-7) - 5\/(-7). What is h*p(r) + i*l(r)?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16572907?\nAnswer: 13, 61, 20899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 196*m**3 - 7364*m**2 + 4160*m - 592 = 0.\nAnswer: 2\/7, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-12) + 1\/(-6). Suppose -5*x + 550 = 5*b, f = 3*b + b + x - 425. List the prime factors of b.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99 - 156. Let a = 25 + z. Let b = -16 - a. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 - -56 - (-32 + 41 - (3 - 0))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4494 greater than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*1\/(-3)*546\/((-286)\/(-11))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 1317.427, 1\/2, -0.3?\nAnswer: 1317.427","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -15. Calculate the remainder when 39 - 2*6\/(-4) is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2860a8 - 11a?\nAnswer: -286217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from yysyyyss.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -5*v**2 - 41*v - 63. Calculate the remainder when 242 is divided by n(-9).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 37 + 3. Suppose -2*b + 28 = -d. Suppose 2*j - 3 = -3*i - 2, -3*j + i = -b. Solve -5*q - 8 = -0*w + w, -4*q + j*w = 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*p**3*v**3 + 796*p**3*v + 5*p**3 + 212*p**2*v**4 + 2*p**2*v wrt v?\nAnswer: 126*p**3*v + 2544*p**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b5 (base 14) in base 15?\nAnswer: -26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d - d - 10*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 - 56. Sort -5, h, -3, 0 in decreasing order.\nAnswer: 0, h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-156)\/(-65) + (-6)\/(-10). Suppose 25 = j*w - 11. List the prime factors of ((-3)\/2)\/((-2)\/w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 6*u**2 + 16*u. Let c be y(8). Let l be ((-9)\/(-4 + -5))\/(1\/14). Solve c = -l*b + 18*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 1322, 4441, 10528, 20573, 35566?\nAnswer: 56497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1025*a + 194*a + 541*a. Let r(j) = -3*j**2 - 2*j. Let b(w) = w**2 + w. Let f(o) = -2*b(o) - r(o). Calculate t(f(i)).\nAnswer: -290*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**5\/5 + 9966*d**4\/5 + 16553524*d**3\/5 + 9165125596*d**2\/5 - 16553526*d\/5 - 9165135562\/5 = 0?\nAnswer: -1661, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 53 - 24 - -40?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -2. Let r = d + -4. Let i = 16.7 - 17. What is the third biggest value in r, i, -2\/17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -209\/315 - -4\/63. Let t = -227 - -224. Sort 2\/13, r, t.\nAnswer: t, r, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -109 + 334 - 7*h**2 - 156 + 2*h**3. Calculate the remainder when q(6) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 3*o**2 - o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025239 rounded to 5 decimal places?\nAnswer: -0.00252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0058269465 rounded to six dps?\nAnswer: -0.005827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 17 = -2*a + x, -2*x + 8 = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-4 + 1)) + 4 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = -22*i + 9*i. Let d be ((-2)\/12)\/((-10)\/i). What is the nearest to 2 in -0.3, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -11. Suppose m = -5*v + 4*y + 52, 3*v - 30 = -0*v + 2*y. Let n = -25 - -53. What is the remainder when n is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -8*f**2 + 10*f - 4. Let c(z) = 3*z**2 - 3*z + 1. Let s = 331 - 328. What is s*x(n) + 10*c(n)?\nAnswer: 6*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1318 is divided by 268?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1043, -7059, -23399, -55229, -107715, -186023, -295319, -440769?\n\"Answer: -861*m**3 + 4*m**2 - m - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-3) - 2\/(-6). Suppose 5*a - 16 = -i, -2*a - 5*i = 2*a - 17. Put -2, x, a in ascending order.\nAnswer: x, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -284, -428, -572, -716?\nAnswer: -860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3709 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 13*y**2 + 12*y + 12. Let l be v(-12). Calculate the greatest common divisor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 691, 1379, 2067?\nAnswer: 2755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3900494 is divided by 57?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 28. Let q be 14\/g*1 - 2\/(-8). Suppose 3*v + 16 = a + 3, q*a = 2. What is the third smallest value in -8, -1\/4, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002781742 rounded to 6 dps?\nAnswer: -0.000278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 66 - 2266?\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 10*j = -5*k + 2, -j = -2*k + 2. Solve -127*r + 102*r + 175 = k for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -5*z**7\/42 - z**6\/6 + 3*z**5\/4 + 5*z**4\/12 - 5*z**3\/3 + 3121*z. Find n such that h(n) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*(0\/(-78))\/(-11)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 9:04 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 36. Let n(b) = -4*b - 5. Determine n(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -48.7, -2, -1, -776?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tc when two letters picked without replacement from {c: 3, m: 3, t: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.27 + -0.02. Let r = -0.2500043 + p. Round r to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 89*h**3 + 4*h - 91*h**3 - 4*h + 5*h - 221.\nAnswer: -2*h**3 + 2*h - 221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4189 or 5928?\nAnswer: 5928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - 0.3. Let s = -2 + 3. Let a be (-2)\/(4\/(-3))*-2. What is the third biggest value in a, s, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pve when three letters picked without replacement from {p: 1, j: 2, e: 4, v: 9}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*i + q, i - 4*q - 24 = 2*i. Suppose -2 = -n - 3. Let u(t) = t**2 + t - 1. Let k(g) = -2*g**3 - 4*g**2 - 4*g + 6. What is i*u(p) + n*k(p)?\nAnswer: 2*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(190) - (2*sqrt(190) + sqrt(190))) + sqrt(190))\/sqrt(10) - (1 + sqrt(1900))) + 5.\nAnswer: 8 + 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 462 divided by 14\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.94 - 0.06. Let v = -266\/9 + 89\/3. Which is the third smallest value? (a) 1 (b) v (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1644*z = -1646*z + 3*k + 55, 4*z + k + 37 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/266448 and -85\/13104.\nAnswer: 799344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 368669.3 micrometers?\nAnswer: 0.0003686693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (455 - 28)*(-10)\/(-7) a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022155394 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**5 - 36*h**4 + 28*h**3 + 276*h**2 - 608*h + 336 = 0 for h.\nAnswer: -3, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13, 31, 77, 163, 301, 503, 781, 1147?\n\"Answer: 2*h**3 + 2*h**2 - 2*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**3 + 1856*x**2 + 5511*x wrt x?\nAnswer: 6*x + 3712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -8014*z - 2. Let f(n) = 823*n. Calculate y(f(p)).\nAnswer: -6595522*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 1752165*n**2 - 10513205*n + 12265365.\nAnswer: 5*(n - 350439)*(n - 1)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -377*t - 1944. Determine l(-5).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28.4 or -0.062?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i - 147*i + 10248 = 364*i for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-2\/31)\/m*m\/(m\/(m**(10\/3)*m)) assuming m is positive.\nAnswer: m**(397\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = l, 0 = 100*u - 105*u + 8*l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -127, -458, -1011, -1786, -2783, -4002, -5443?\n\"Answer: -111*y**2 + 2*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**4 - v**3 - v**2 - v. Let y(p) = 3*p**5 - 13*p**4 - 22*p**3 + 8*p**2 + 65*p + 36. Let b(k) = -5*r(k) - y(k). Let b(x) = 0. What is x?\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3997, 3990, 3971, 3934, 3873, 3782?\nAnswer: 3655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/8 and 15\/(65835\/2123) - (-1)\/(-3)?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, u: 3, w: 3, q: 1}. Give prob of picking 2 m.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((14\/(-21))\/(10\/(-30)))\/18?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/40005 and 73\/45.\nAnswer: 40005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 86*u**3 + 2*u**2 + 22*u + 22. Give m(-1).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (228\/(-3800))\/(2\/5).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**5\/60 + r**4\/12 - r**3\/18 - r**2\/2 - 52*r - 37. Let f(j) be the first derivative of d(j). Suppose f(m) = 0. Calculate m.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*((-4*q + 2*q + 4*q)*(-q + 3*q - q) + 1350*q**2 + 1177*q**2 + 337*q**2) + q - q - 2*q**2 - 5*q**2 + q**2 + 5*q**2.\nAnswer: -2867*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w. Let a(d) = -2*d - 2. Let j(r) = -a(r) - 3*b(r). Let y be j(0). Suppose -2*f - n = -23, 6*f + n - 41 = y*f. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2237, -4517, -6821, -9161, -11549, -13997, -16517, -19121?\n\"Answer: -2*r**3 - 2266*r + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98307906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - z + 208 = 0, 0 = n - 7*z + 4*z + 56. Let d = -83 - n. Let r(v) = -5*v - 25. List the prime factors of r(d).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21762 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40405 + -3636361\/90. What is the common denominator of q and -65\/144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iti when three letters picked without replacement from tiiem.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 1)\/(((-20)\/185)\/(-4)). Let p = m - -42. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 l when four letters picked without replacement from llljwjjj.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**2\/(d**(-1)*(d*d*d\/(d*d*d**(-3\/2)*d*d))\/d))\/(d**(-1\/8)\/d**(-1\/8))**(2\/11) assuming d is positive.\nAnswer: d**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 1. Let f(a) = -288 + 573 - 286 - a + 0*a. What is -2*b(y) + 4*f(y)?\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 552.5145mg?\nAnswer: 0.5525145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c + f - 51 = 0, -2*f = -171842*c + 171847*c + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1267208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11103 is divided by 106.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 88004, 88026, 88086, 88202, 88392?\n\"Answer: 3*y**3 + y**2 - 2*y + 88002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p + 27. Let w be (3\/2)\/(p\/12). What is the third derivative of -7*f**4 + 5*f**2 + 2*f**2 + 3*f**w + 20*f**4 wrt f?\nAnswer: 312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 21*g - 79. Let f be u(8). Solve -2*m + 5*z = -4*m - 30, -m - 5*z = f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36487.\nAnswer: 11, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i**(-3))\/i*i*i**(-6)\/i)\/((i*i*i**(4\/7))\/(i*i**7)) assuming i is positive.\nAnswer: i**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*p + 14649 = 288*p - 41*p - 12891 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161 and 6463.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 7*a**2 + 2*a + 5. Let h(p) = -2095*p**3 + 49*p**2 + 14*p + 35. Calculate -6*h(s) + 42*q(s).\nAnswer: 12612*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**8*l**(-30) assuming l is positive.\nAnswer: l**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/4, -119\/2, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 80, 88, 102, 122?\n\"Answer: 3*g**2 - g + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 5*c + 10. Let b(f) = f**2 - 4*f - 8. Let t(q) = -5*b(q) - 4*d(q). Let y(m) = -2*m**2. Calculate -3*t(r) + 4*y(r).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*h - 250 + 250 in the form z + b*h and give b.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/9 - 10430144*d\/9 + 6953432\/3.\nAnswer: -2*(d - 2)*(d + 5215074)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.3 (b) 4 (c) -0.4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/3720 and -79\/1240?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f - 4*f + 3*f + (-f + 3*f - f)*(8 - 5 + 4) + 4*f - 3*f - 4*f to the form t + c*f and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14924 and 50414?\nAnswer: 4133948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 0*p**2 - 17*p**2 + 3*p**2 + 2*p = 0. What is p?\nAnswer: 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.3, 1\/6, 4, 0.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -32*r + 54 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v - 4 + 2 - 6*v. Let u(l) = -1. Calculate -2*d(s) + 4*u(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2740 and 63040.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 10*y**2. Let h be q(10). Let a(t) = t + 9. What is a(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(0 - -2) + 30. Let w = h + -2. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12444394.\nAnswer: 2, 6222197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 50 = -5*j, -3*j - 22 = -2*y - 4*j. Suppose -3*l + g + 14 = 0, -5*l + 4*g - y = -45. Calculate the greatest common factor of 21 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -7. Let j be (-3)\/1*u\/(-27). Which is the second smallest value? (a) 1 (b) -2\/17 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1019 less than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yygjjgpycjjygj. Give prob of sequence jjcp.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 12:29 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -36680.66 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.32 (b) 3\/7 (c) -0.6 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45.7 + -50.7. Let o = 13.5 + 1.5. Let t = -15 + o. Which is the second smallest value? (a) t (b) 0.2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -7*x**2 - 1\/20*x**6 - 3 + 1\/112*x**8 + 0*x**3 + 3\/5*x**5 - 3\/70*x**7 - x**4 + 0*x. Find h such that f(h) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -57, -199, -365, -555, -769, -1007?\n\"Answer: -12*a**2 - 106*a + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a90 + 88?\nAnswer: -3a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -249?\nAnswer: 24.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13000 is divided by 77.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxx when three letters picked without replacement from wxwfeewwwwwccwcwxeec.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 4:28 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + f - 3*f + 3*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 51*b - 177. Calculate l(5).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64167754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 5777 + -5777.11. Let g be (-81)\/(-15) + 2\/(-5). Which is the closest to y? (a) -4 (b) g (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**2 + 26110*o + 104360 = 0.\nAnswer: -5218, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2 - 2 = 0, 4*o = -5*l + 242. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 7.7. Let x = 0.39 + 2.81. Let y = 1.8 + x. Which is the third biggest value? (a) y (b) -0.2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7 + 2*i + i + 6 - 2. Let a(k) = -k. Let g be a(-5). List the prime factors of h(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + j - j + j)*(-4 - 6*j + 4)*(-5 + 3 + 0).\nAnswer: 12*j**2 - 192*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -163906\/87 + 1884. What is the nearest to -0.1 in 3, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8476 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*l**3 - 22 + 22 - 13*l**3 + 47*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -31*p**2 - 27*p - 180. Give r(0).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -48.9. Let j = 2 + p. What is the nearest to 1 in -5, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2)\/(s**2*s)*s*s**6*s**(3\/2)*(s**(5\/4)\/(s**(2\/23)*s))**(-16\/7) assuming s is positive.\nAnswer: s**(1007\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144639329 is divided by 338.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 287405324793 and -45.\nAnswer: 287405324748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 14*y. Let p(s) = -3*s. Let w(i) = -16*i - 2. Let j(u) = -6*p(u) + w(u). Give j(x(g)).\nAnswer: 28*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -208*c**2 + c + 1. Let n be v(-1). Let m = n - -431. Is m a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-21352023\nAnswer: -85408092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3. Let d(l) = l**3 - l - 7. Let t(b) = -2*b**3 + b**2 + b - 1. Let v(g) = -d(g) - t(g). Let z be v(y). Solve -a = a + z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**4 + 13*a**4 + 2*a**4)*(61*a - 114*a + 7*a).\nAnswer: -874*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19 (b) -1 (c) -4 (d) -2 (e) 7\/6 (f) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 36 = -f. Suppose 3*m + f = 0, -5*m = 5*y - 3 + 8. Determine q, given that -3 + 7*q - 9*q**2 - 7*q + 8*q + q + 3*q**y = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) 3\/2 (c) -3 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 5. Let y be v(7). Let d = y + -146. Let h = d + 172. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 60, 37, -58, -267, -632, -1195, -1998?\n\"Answer: -7*j**3 + 6*j**2 + 8*j + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/454 or 1?\nAnswer: 1\/454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (245613\/(-372))\/(342\/72)\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7915049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k + 103265 = 37*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/21)\/(18\/(-351)*-13)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllkkoklollllklllvl. Give prob of picking 3 k and 1 l.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/12097089 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 0. Let d(s) = -s**3 + 13*s**2 - 2*s + 32. Let q be d(13). Solve -3*f + 3 = f - i*n, 4*f = 2*n - q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2 - (-30 - -33)) + (16 - -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 16188883753819.\nAnswer: -16188883753818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -136\/781 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p - 6. Let b(t) = 17*t + 26. Let i(s) = -18*a(s) - 4*b(s). Let k(w) = -4*w - 5. Determine -6*i(z) - 5*k(z).\nAnswer: -4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/165)\/(-12)*3\/((-9)\/(-5)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*z + 56 + 200, -2*u - z + 256 = 0. What is the greatest common factor of 40 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 49*j**2 - 108*j**3 + 126 + 109*j**3 - 44*j**2 to m + g*j + w*j**3 + d*j**2 and give m.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 103927 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27793 = 8*m + 13*m - 133193. What is the thousands digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 8528 + 5440 = 0. Let z = h + -300. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 369*q**4 + 158383*q**3 - 31*q**2 + 2*q + 1548 wrt q?\nAnswer: 8856*q + 950298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-31)*(450\/27 + -11) - 5.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r = 38*r + 105 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 17980.034893 to the nearest one hundred.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1260044 is divided by 1719?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/41, -6\/7, 4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 7:28 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 46727.26 to the nearest ten.\nAnswer: 46730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 7 + 2 = 0. Find the common denominator of 65\/(-2)*1\/(-4) and q\/2 + (-131)\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - o + 1 + (116*o - 504*o - 250*o)*(1 + 2 - 5) to a + f*o and give f.\nAnswer: 1275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 3529194383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3714047 to the power of 1\/2, to the nearest integer?\nAnswer: 1927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52 + -47 - (-2 + 13)) + (-1 - 23).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7079175 is divided by 38060?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 66, 95, 120, 141, 158, 171?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 13619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(11) + -1 + sqrt(11)*-2 + (sqrt(132)*-1)\/sqrt(12))**2 + (1*1*sqrt(77) - sqrt(77))\/(sqrt(42)\/(sqrt(6)*-1)).\nAnswer: 16*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 679403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33367 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/2 and -5745825 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 - (-10 - -17) - -111?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/13))**(-6))**(1\/52) assuming t is positive.\nAnswer: t**(3\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 25.2*-12.0424\nAnswer: -303.46848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1319*f + 2424*f - 1792*f = 152178 for f.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -33*v + 6. What are the prime factors of y(-5)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 51, 181, 437, 861, 1495?\nAnswer: 2381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -93 - -14 - (-78 + 10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/6408 and 151\/3312.\nAnswer: 294768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1908144*o**2 - 21286*o - 26.\nAnswer: 3816288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 1:52 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-4)\/(-12)*(-462)\/44.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 37554*-197\nAnswer: -7398138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11213 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 375 and 315288000.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 515622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 7:53 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81 + -103. List the prime factors of 12900\/44 + -5 + 4\/b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 527 = -4*m + 1591, -286 = -m + 4*r. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 138699633 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2794815.04 to the nearest 100.\nAnswer: -2794800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6050 and 259?\nAnswer: -1566950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111907 is divided by 18483?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 6*y**2 + 1\/60*y**5 - 11\/3*y**3 + 0*y + 1\/6*y**4 + 0. Does 20 divide v(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.9 or 822\/1469?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 630*x + 99225.\nAnswer: (x + 315)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 604737671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*(-5)\/(-25) - 3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**6\/240 - 13*w**5\/24 - 341*w**4\/16 + 363*w**3\/4 + 46*w**2 + 2. Suppose y(n) = 0. Calculate n.\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**2 + q + 4. Let k(t) = -5*t**2 - 2*t - 5. Let i(d) = 4*h(d) + 3*k(d). Calculate the remainder when 26 is divided by i(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1 + (4 - -3) - (10 + -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 102.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1860 divided by 620.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 - 3*c**3 + 23*c**4 + (5*c - 4*c - 2*c)*(-2*c**3 - 3*c**3 + 4*c**3))*(4 - 4 - c).\nAnswer: -24*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18665, 11698, 4727, -2254, -9251, -16270?\nAnswer: -23317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/68)\/(-3)*220\/5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 8082528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45780 and 0.02.\nAnswer: -915.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 39042432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 65 = -4*a, -4*t + 4*a - 61 = -a. Suppose -6 = 2*d + 2. Is d > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.396572 millilitres?\nAnswer: 0.002396572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -866*1.\nAnswer: -866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22289 divided by 22289?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3*f)**(-1\/24))**(-2\/49) assuming f is positive.\nAnswer: f**(1\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = -7, 2*w - 23 + 12 = 2*l + 153 for l.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 - 99. Solve 3*s + 0 = -o*w + 5, 3*w + 2*s = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98\/3 - 469\/15. Is u greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}