diff --git "a/data/dm_maths/full_data_1/10895_11255.jsonl" "b/data/dm_maths/full_data_1/10895_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10895_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify sqrt(15)\/sqrt(3) + 1 + 3*(sqrt(10)\/sqrt(2))**2 + -5 + (sqrt(150)\/sqrt(3) + sqrt(50))\/sqrt(10) + sqrt(5) + -2*(-5*-2*sqrt(80) + 3).\nAnswer: -76*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aabbabbabbbab. What is prob of picking 3 a and 1 b?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6223*o**2 - 4*o. Let k(g) = -172*g. Determine i(k(h)).\nAnswer: -184101232*h**2 + 688*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1578, -3310, -5052, -6804, -8566?\n\"Answer: -5*j**2 - 1717*j + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4250859 or -4250860?\nAnswer: -4250859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 - 9\/12. What is the units digit of (o\/(-1))\/(1\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*n - 31266, -5645 = -n + 5*w + 9946. What are the prime factors of n?\nAnswer: 2, 13, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84\/13 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1067*-0.4.\nAnswer: 426.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + -3 + 21 + 9 + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**2 + 5*i**2 + 6*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14c4 - -c0?\nAnswer: 1594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 507.\nAnswer: -5\/507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1250?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0612 + -8.5088. What is x rounded to one decimal place?\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + v + 50 = 0. Suppose 5*d + 5*c = v, -d + 4*c + c + 8 = 0. What is the second derivative of 0*k + 3*k**d - k**3 - 3*k**3 + 2*k wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-6)*(-34)\/((-113832)\/(-81))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 36*p**3 - 117*p**2 + 96*p - 18. Let c(d) = d**3 - 2*d**2 + 2. Let o(w) = -3*c(w) - s(w). Let o(y) = 0. What is y?\nAnswer: 2\/13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*1 - (18*550\/450 + -74).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*m**3 - 31*m**3 - 51*m**3.\nAnswer: -110*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 4, 68, 3, 87 in decreasing order.\nAnswer: 87, 68, 4, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is a6a234 (base 12) in base 2?\nAnswer: 1010000010001011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 619\/2 - 301. What is the common denominator of -73\/4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p + 0*p + 21 - 25 - 3*p**2 - 2*p**3. Let f be v(-3). Suppose -3*a = -2*a - f. What is the least common multiple of 8 and a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + 4 + sqrt(1700) + 1 + -4 + (sqrt(1700) - -4*(sqrt(1700) + 0))*-3)**2 + -5.\nAnswer: -1120*sqrt(17) + 333215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6688267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 124*j**3 + 2*j**2 + 6*j + 5. What are the prime factors of m(4)?\nAnswer: 11, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1804 is divided by 129.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 - 2*u**2 + 4*u**2 - 5*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2565\/380 - 4)\/(2\/(-32))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -983000 rounded to the nearest 10000?\nAnswer: -980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 51\/9 - 2\/(-6). Let x be (1 - (-1 + 2))\/((-16)\/(-8)). Suppose 38*b = v + 35*b - 18, x = -4*b. Calculate the highest common factor of z and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/100)\/(555\/(-185))*-10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2974)\/(-3))\/(36977*14\/(-63)). Let i = -13\/103 - c. Is 1 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605705 is divided by 813.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/(-18) + 2 - (-4170)\/(-432) and 74\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 11) + 6 - (-24 - -55)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 551.2111 centimeters?\nAnswer: 0.005512111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -6997 and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.06 (b) 836 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 0, 236, -1 in increasing order.\nAnswer: -1, 0, 5, 6, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 25*f + 40. Let n be l(-29). Let p = 174 - n. Solve 5*z + c = p, 3*z + 3 = 4*c - 0*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -781\/5 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -35.1.\nAnswer: -140.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 42?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 12) in base 3?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00026272535 to 5 dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 220116 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 2*x**6\/5 + x**5\/4 + 17*x**4\/3 - 156*x. Find the third derivative of n(s) wrt s.\nAnswer: 288*s + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1102 and 1101 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402767.\nAnswer: 402767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j**2 - 7*j**2 + 9*j**2 + 10*j**2.\nAnswer: 25*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*m - 296. Let o be (-1643)\/m + 1\/(-2). Calculate the highest common factor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 3:00 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.4, 2\/15, 0, -2 in decreasing order.\nAnswer: 0.3, 2\/15, 0, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 285705 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -r - 7. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*w + 206, 2*d + w + 0*w + 403 = 0. Let h = d - -203. Solve x + h*x - 9 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(5 + 2 - 5)*(-f**2 + f**2 - 2*f**3 + (f - f + f**2)*(0 + 0 - f) - 35*f**2 - 24*f**3 + 35*f**2) + 3*f**3 - 4*f**3 - 2*f**3.\nAnswer: 51*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 833054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kupukkkpuouoppokk. What is prob of picking 1 u and 1 k?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2422 in 0.1, -3, 2\/3, 5, 7\/18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 5. Let l(j) = -j**3 - 28*j**2 + 32*j + 115. Let n be l(-29). Let w = c + n. Solve k + 4 = -w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 3406.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 6, q - 7 = y - 0. Suppose 2*x - 31 = -5*h, q*x - 3*h - 64 = -2*h. Calculate the remainder when 25 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 3*(-1)\/((-6)\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -163727, 0.2, 4, 3\/7 in decreasing order.\nAnswer: 4, 3\/7, 0.2, -163727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**1)\/k)\/k)**16*k*k*k**(-2\/15)*k**(-6)\/k assuming k is positive.\nAnswer: k**(163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-348)\/(-14) + (-162)\/189. Calculate the highest common divisor of p and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**3 - 2*r**2 + 5. Let g be (3\/(-2))\/((-110)\/(-440)). Let x = -55 + 56. Let j(z) = 1. What is g*j(i) + x*f(i)?\nAnswer: 2*i**3 - 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*m - 307 = 0, -m - 2*m - 114 = -2*l. Let x be ((24\/l)\/(-4))\/(6\/(-28)). Let x*k - 2\/9*k**2 + 0 = 0. Calculate k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*l - 1280 = -145*l + 77*l - 4635 for l.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19258 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 2*(-12)\/8 - 2. What is the units digit of (-47 - -28)\/(h\/(-3))*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 45*k - 3. Let f(p) = 15*p - 1. Give 8*f(w) - 3*i(w).\nAnswer: 3*w**2 - 15*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2\/9))**1)**(-2\/15) assuming c is positive.\nAnswer: c**(-22\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/118929751 or 0?\nAnswer: 4\/118929751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-486)\/(-27) + 2 + -6 + -18.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from ublhp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -7 (b) 1.55 (c) -0.3 (d) 10 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (15 - 9 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -1*1*(-28 + (-3223)\/(-99))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1751*r - 220759 = -3304*r - 2040*r - 1104*r for r.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -209036 and -0.5.\nAnswer: -209036.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1843?\nAnswer: 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122 + -120. Suppose -5 = c*j + 8*x - 11*x, 5 = x. Let b(q) be the second derivative of -q**5\/20 + 5*q**4\/12 + 2*q**3\/3 - 7*q**2\/2 - 6*q. Determine b(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + -1. Let y be (-5)\/(-5) - 1 - (-2 - 2). Suppose y*a - 18 = 10. Sort -2, a, u in decreasing order.\nAnswer: a, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -11*k**2 - 3*k + 6. Let j(x) = 32*x**2 + 10*x - 17. Let d(s) = -6*j(s) - 17*o(s). What is the second derivative of d(q) wrt q?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**2 - 657*g - 8316 = 0. What is g?\nAnswer: -12, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**4 - 3*p**3 + 6*p**2 - 5*p - 3. Let a(l) = -l**3 + l + 1. Let n(d) = 3*a(d) + g(d). Find w, given that n(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 139514?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 398\/(-9552) - (-3)\/8. Let g be (20\/8 - 3)*-2. What is the closest to g in -4, y, -1\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 10*o = 1836. Let p = -2027 + 28355\/14. Find the common denominator of p and 7\/(-10)*o\/24.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44289640?\nAnswer: 2, 5, 193, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 4 (c) 6 (d) -4.3 (e) -2 (f) -13 (g) 1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 - 33. Suppose -2*f - h = f + 22, f = -5*h - c. Let l be 94 + -1 + (f - -4). What is the greatest common factor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 5:59 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**6\/15 - 3*b**5\/5 - 4*b**4\/3 + 30*b. Let y(x) = 0. Calculate x.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*(sqrt(95)*2 + sqrt(95)))\/((sqrt(5) - sqrt(30)\/(sqrt(6)*-1) - sqrt(5)) + sqrt(5) - sqrt(5)))**2 - (sqrt(95)*1*-3)\/(3*sqrt(5)*-4).\nAnswer: -sqrt(19)\/4 + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 2:46 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 140*y + 2. Calculate t(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*s**4\/11 - 172926*s**3\/11 - 1729710*s**2\/11 - 393150*s.\nAnswer: 6*s*(s - 28831)*(s + 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*v - 24518 + 109126, -3*v + 50748 = 4*b. Is 22 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1524057 is divided by 1524044.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 332 and 5980?\nAnswer: 1985360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -35. Let t = g - -43. Let l be 3 - -1 - 0\/(-6). What is the highest common divisor of t and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5900016 and 2128272?\nAnswer: 2590107024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727 a factor of 10092588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*m + 4 = 0, q + 5*m - 8 = -2*q. Let x = -25 + 74\/3. Which is greater: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000111001100 (base 2) in base 5?\nAnswer: 121211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.47 in 4.1, 1\/3, 4, 0.073?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*h**3 + 80*h**3 - 20*h**3 - 25*h**3 - 18*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)*s*s**(-6))**(-29)\/((s**0*s*s**(1\/3)\/s)\/(s**6\/(s\/(s*s**(-2))))) assuming s is positive.\nAnswer: s**(707\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3126 is divided by 80?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 50630*m**3 - 8*m**2 + 73*m - 15. Let i be y(5). What is i rounded to the nearest 100000?\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2368 and 351968?\nAnswer: 26045632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*k + 17, 5*l + 3*k + 30 = -k. Put -1, 0, l, 2 in descending order.\nAnswer: 2, 0, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + 23. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -380*l + 381*l + 6*v, -15 = 5*v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**5*b\/(b\/(b*b\/(b*b**(-1)\/b)))*b**(-4)\/(b*b**(-5))*b**(-5)*b**(3\/5)*b**1\/b*b*b**(-5) assuming b is positive.\nAnswer: b**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -99*n**2 - 21. Let i(z) = -49*z**2 + 27*z + 1. Let g(s) = -12*s**2 + 6*s. Let o(r) = -18*g(r) + 4*i(r). What is 4*j(q) + 21*o(q)?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 3*l**2 - 2. Let i be o(2). Suppose 2*q = 3*r - 38, -i*r - 4*q = 2 - 6. Let z(s) = s + 1. What is the remainder when r is divided by z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 bigger than -2\/851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 22. Let w be z(10). Is w smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22558 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3833391 to the nearest integer?\nAnswer: 1958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1289 (base 11) to base 15\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + 9 - -25) + 0 + -9 - (-144 + 147)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65301 - 24282 + 18*m**3 + 3*m**3 - 2*m**2.\nAnswer: 21*m**3 - 2*m**2 - 89583","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v = -108. Suppose n + h = -v + 109, -4*n + 364 = -5*h. What are the prime factors of n?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 3:26 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 11:08 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 16.9. Which is bigger: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 + 49 - -4 - -11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11131.42 + -11131.5800067. Let l = 0.16 + x. Round l to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**2 - 6*n**2 + n**2 + (0*n**2 + 0*n**2 - 2*n**2)*(-3 + 3 + 1) + 6*n**2 + 2*n**2 - n**2 - 2*n**2 + 3*n**2 + 0*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 equal to 41645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 15 = 5*v. Suppose -5*m - v = -68. What is the lowest common multiple of m - (-3)\/(9\/(-6)) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 = -4*r, -5*q + 0*r = 3*r - 14. Let t be (-10)\/2 - (2 + -2). Suppose -2*d = 3*d - 4*l - 10, 0 = -d - 5*l + 2. Sort t, d, q.\nAnswer: t, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -484*j + 53*j - 62*j - 31059 for j.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**5\/9 - 206*u**4\/9 - 632*u**3\/9 - 424*u**2\/9 = 0.\nAnswer: -2, -1, 0, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 177 + -896\/5. Which is bigger: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -131\/3 - -43. Let g = -0.19 - -0.39. Which is greater: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22061730 divided by 1470782\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 716960, 1433930, 2150900, 2867870, 3584840, 4301810?\n\"Answer: 716970*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-284)\/355)\/(33\/6) and -13\/374?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Suppose x*q + 3*q = -5*i - 35, 2*q = -i. Let v(w) = w + 14. What is the units digit of v(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -74, -68?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -257\/3 - -5143\/60. Let l(c) be the second derivative of -1\/2*c**4 - 5\/6*c**3 - t*c**5 + 0 - 2*c - c**2. What is l(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6295*q**2 + 1272*q**2 - 19445*q**2.\nAnswer: -24468*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 122613, -5, -2\/15 in increasing order.\nAnswer: -5, -2\/15, 0.4, 122613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 277*v = -280*v + 5, 0 = 3*j - 2*v - 22 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -47270.\nAnswer: -18908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -45\/166 != -17\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*l + 460*l + 206*l + 13082 = 0 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -n + 2 - 3, 4*r - n - 6 = 0. Is r less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.170722 to three dps.\nAnswer: -2.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 4*r - 220, 0 = -2*b - 0*b + 3*r - 114. Let f be b\/(-15) + (-6)\/(-20)*2. What is the derivative of -6 + d**4 + 16*d**4 - 4*d**f wrt d?\nAnswer: 52*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 241302463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmveeeem. Give prob of sequence mve.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33224?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 605361.4 days to nanoseconds.\nAnswer: 52303224960000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 64*h**3 - 4*h**2 - 7*h + 12. Let g be f(-5). Let r = -4644 - g. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 - 4*s + s**3 + s - 5*s**2 - 16 + 2*s**3. Let j be g(6). Solve 2 = 2*v, o - 2*v + 7 = j*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2910 = q - 2*c - 202, -18 = 3*c. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 39.3 (c) 1 (d) 1\/4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -218*x - 2593 + 296 - 7731 for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9*q + 27. Let l(g) = -6*g - 27. Let b(u) = 6*u + 24. Let m(j) = 3*b(j) + 2*l(j). Let z(p) = -5*k(p) + 7*m(p). Give z(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1039, 2086, 3129, 4168, 5203?\n\"Answer: -2*v**2 + 1053*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (3 - (11 + -6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.2. Let x = 121 + -119. What is the second biggest value in x, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -1, -179 in descending order.\nAnswer: 3, -1, -5, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000037618 to 7 decimal places.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/14 - (-136)\/14. Let x = y + -3. Differentiate 4*t**4 + 5 - 17 + x wrt t.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5369, 21212, 47579, 84476, 131909, 189884, 258407?\nAnswer: 337484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3 - 15. Let s(q) = -q**2 + 11*q - 6. Calculate the least common multiple of 22 and s(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -250, -558, -990, -1546, -2226, -3030?\nAnswer: -3958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 21. Let s(p) = p**2 + 5*p + 6. Let f be s(-4). Does f = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(704)*3*2 + -2 + 5)**2 + -2.\nAnswer: 288*sqrt(11) + 25350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 35 = -3*q, q + 2*q = -3*r + 3. Suppose -q*i = -20 - 5. Solve -5 = -0*j + i*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*s - 3*s - 3*m, -8 = -2*s + m. Let b(d) = d - 4. Let q be b(5). Differentiate 2*c**2 - s + 2 - q wrt c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 5*m**2 + 10*m - 6. Let d be 0 + 0 + 9\/(27\/6). Let b be t(d). Solve -5*p = -r - 1, -4*r + 5 = -b*r - 3*p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 11*i**2 + 19*i + 8. Let d(k) = -k**3 + 2*k - 4. Suppose -10 = -3*s - 4. Let a be d(s). List the prime factors of u(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 413000416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*q + 40 = -213*q. Calculate the remainder when (-4)\/(q\/182) + 4 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 6*a**2 + a - 3. Suppose 169 + 143 = 26*k. Suppose k = -94*b + 96*b. Calculate z(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22524834*n**5 + 129729*n**2 - 27*n wrt n?\nAnswer: 1351490040*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 17365*n - 15 = -17364*n, -30 = 5*d + 2*n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 12*g**2 - 10*g - 6. Let x be w(13). Let h be 2 - (-14)\/(-6) - (-176)\/x. Solve -2*a = -h*n + 21, -6*a + 4*a - 3 = n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11, -3, 11, 37, 81, 149?\n\"Answer: j**3 - 3*j**2 + 10*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56490 = -515*k - 2175*k for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -18*v**2. Let w be (-88)\/20 + 38\/95. Let m(c) = -11*c**2. Let x(h) = 340*h**2. Let s(u) = 187*m(u) + 6*x(u). Calculate w*q(y) + 5*s(y).\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3\/4, 1\/5, 0?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/3*k**2 - 8\/3*k - 1\/3*k**3 - 16\/3.\nAnswer: -(k - 4)**2*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38*u - 17*u + 67*u)*(0*u - 2*u + 4*u) + 7 - 3 - 6 - 3*u**2 to the form s + i*u**2 + b*u and give i.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/3 + 2\/(-3). Let m(c) = -19*c + 29. Let s(o) = -40*o + 48. Let q(f) = 5*m(f) - 3*s(f). Determine q(y).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 557 + -555. Factor 3*g**2 - 2*g**2 - 2*g**2 + 52*g + 112 - g**v.\nAnswer: -2*(g - 28)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 26, 24, 8, -28, -90, -184, -316?\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 10*h + 35. Determine y(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(8\/(-6)) - -1. Suppose -o = -k*o + 6. Suppose o*y - 38 + 8 = 0. Calculate the greatest common factor of y and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p\/((p**24*p*p)\/p))*p*p\/p**(-4\/3)*p)\/((p**5*p)\/((((p*p\/(p**(-8\/5)*p)*p*p)\/p)\/p)\/p)) assuming p is positive.\nAnswer: p**(344\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 2275?\nAnswer: -2\/2275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a factor of 23776521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8 = 5*s + 2, 5*n - 4*s - 21 = 0. Suppose n*o - 12 = -o. Solve -2*x + 8 = o*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 9:19 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 117505956 to the power of 1\/2, to the nearest integer?\nAnswer: 10840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-2)\/(1\/((-5)\/(-70))).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - k**2 - 2*k + 3. Let u(j) = j**3 + 1. Give 2*u(c) - w(c).\nAnswer: c**3 + c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241748, 483543, 725340, 967139, 1208940, 1450743?\nAnswer: 1692548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.24 or -1.5?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1863522371.\nAnswer: 17, 109618963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 13041 = -7*h. Calculate the greatest common factor of 243 and h.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -503451164 minus 0.4?\nAnswer: -503451164.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*q - 0*q. Solve y - 3*y - q = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207 - 5*h - 17*h + 40.\nAnswer: -22*h + 247","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 300 - 300.0167. Let u = 0.0467 + t. Let p = -2 - -2. Which is the second smallest value? (a) -2\/7 (b) 4 (c) p (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36821209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - m**2 + 33*m + 14. Give j(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppxpxx. Give prob of sequence ppxx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 - 3*h**4 + 5*h**3 - h**2 - 14*h**3 to d*h**2 + o*h**4 + l*h + f + t*h**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*m - 109, 3*m - 19 = n - 2*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.468 and 0.07.\nAnswer: 0.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/17)*k*k\/(k*k*k**(-2\/3)*k)*k*((k\/((k\/(k*(k**(1\/3)*k)\/k))\/k))\/k)**(-24))**(-43) assuming k is positive.\nAnswer: k**(68456\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -5, -1858, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 32*i**2 + 3875*i + 297. Calculate v(-121).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.222 - 52.778. Which is smaller: -34 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*(-57)\/(-19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1320, 0 in decreasing order.\nAnswer: 0, -1, -1320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 83339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2639 = -3*v - 4*v. What are the prime factors of v?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -1332, 2.\nAnswer: -1332, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qarrrrgrrgxxxraxxrrr. Give prob of sequence qg.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -328*j - 8 + 165*j + 167*j. Let z(f) = f**3 - 8*f**2 - 2*f + 12. Let o be z(8). Let x(u) = 2*u - 4. What is o*s(b) + 7*x(b)?\nAnswer: -2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24545762544.4 - 7.\nAnswer: -24545762551.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78.6, -631, 1\/3, 0.02 in ascending order.\nAnswer: -631, 0.02, 1\/3, 78.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x - 8. Let s(d) = 1004*d**2. What is s(h(r))?\nAnswer: 9036*r**2 + 48192*r + 64256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 9:30 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) -300 (c) 1 (d) -2\/7 (e) -4\/3 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53072 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5038*k - 4 + 5038*k - 59*k**3 to the form a + p*k**2 + m*k**3 + f*k and give m.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from tucutut?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 4:12 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45.229 + 45.303959. Let d = 10.075 - 10. Let y = a - d. What is y rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000397456 rounded to six dps?\nAnswer: -0.000397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + (-20 - (-12 + -14)) + (-66 - -6)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 9, k: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133977 and 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/643690?\nAnswer: -9\/643690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 5 + 2*m**3 - 37 + 10 + 8 - 1467*m**2 as y + q*m + h*m**2 + s*m**3 and give h.\nAnswer: -1467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4 - ((-6825)\/26)\/21. What is the greatest common divisor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -5, -7, -1 in increasing order.\nAnswer: -7, -5, -1, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + o - 51 = 0, -4*o = 1 + 3. Let i be (-90)\/(-8) - (8 + 4 + -1 + 0). What is the smallest value in u, -1\/3, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 + 86173 + 2*r**3 - r**3 - 172461 + 86288.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 412 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 765 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x**(-5\/3))\/x*x*x))\/x*x**28)**(-3\/2) assuming x is positive.\nAnswer: x**(-83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 7*d + 5*d)*(8 + 43 - 10) - 2 + 8*d + 0 + 3.\nAnswer: -33*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4445 or 4443?\nAnswer: 4445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 - -68. Suppose f = 5*j + 4, 7*f - s = 6*f + 3*j. Is f greater than or equal to -9\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8645290430 to the nearest one million.\nAnswer: 8645000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1523 + -691. Calculate the greatest common divisor of 65 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48386776 or -48386775?\nAnswer: -48386775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4442 and 1370?\nAnswer: 3042770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*p + 2. Let j = 2 - 2. Suppose j = f - p. Is 1 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95811 and 5.\nAnswer: 479055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.255 and 6.\nAnswer: -1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 4*n - n)*(-n + 5*n - 2*n) - 323*n + 168*n + 58*n**2 + 158*n.\nAnswer: 62*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - s - 20 = 0. Let t = 11821 + -260109\/22. What is the common denominator of 2\/(s + (-132)\/(-34)) and t?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105223412 divided by -4.\nAnswer: 26305853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**2 + 0*u**2 - 20*u**2 + (-u + 2*u**2 + u)*(-2 - 1 + 4) - u + u + 3*u**2.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1944765 and 1725.\nAnswer: 9723825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (5*(-12)\/(-20) - 15). Let k = 1176 - u. What are the prime factors of k?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4428731 nanoseconds in seconds?\nAnswer: 0.0000000004428731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205.074g to nanograms.\nAnswer: 205074000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**5 + 892*f**4 - 132312*f**3 + 6482692*f**2 + 6615898*f.\nAnswer: -2*f*(f - 149)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -2.2. Let z = 18.375 + -19.375. What is the nearest to z in -2\/5, -15, u?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - -23*3\/(-33). Let r = 47\/154 + t. Suppose 0 = -10*q + 5 + 45. Put r, q, 3 in descending order.\nAnswer: q, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 16 = -3*v, 2*f + v = 5*v + 4. Let m = f + 3. Suppose m = u + 3. Sort 1, u, -4.\nAnswer: -4, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/9 + (-2)\/3. Solve y = b + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10450 (base 6) to base 7.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309849913?\nAnswer: 97, 211, 15139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -1 - 23. Suppose 4*b = 4*f, f - 6*b + n = -b. Calculate the remainder when 4 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -12*r. Let s(t) = t**2 - t + 1. Let j(u) = -3*u**2 + 4*u**2 - u - 2*u**2 + 1. Let h(v) = -j(v) + s(v). What is h(g(f))?\nAnswer: 288*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206, -2, 1 in ascending order.\nAnswer: -206, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 12 - 9) + (-6 - 0) + 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39.4 - -42.4. Which is the smallest value? (a) 6\/5 (b) p (c) -1 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 19*c - 110. Let p be k(6). Suppose -2*i = p*g + 3*i - 37, g - 5*i - 3 = 0. Calculate the least common multiple of 307 and g.\nAnswer: 2456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*d - 60*d + 2*d + 71*d - 88*d.\nAnswer: -318*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {z: 5, g: 15}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 951*c - 9501. Give w(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1371 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28647 (base 12) in base 9?\nAnswer: 85101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a millimeter in micrometers?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 53*g**2 - 25*g**2 + 90*g**2 - 2 + g. What is the hundreds digit of k(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 596 - 584 = -4*b, -3*f = -5*b - 31. Put -4, f, -0.156, -3 in decreasing order.\nAnswer: f, -0.156, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3309 is divided by 218.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 1543 = 31*t - 8*t - 7 for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**4 - 6*p**3 - 20*p**2 + 603. Let u(w) = 6*w**4 + 33*w**3 + 101*w**2 - 3012. Let m(x) = -22*s(x) - 4*u(x). Differentiate m(n) with respect to n.\nAnswer: -8*n**3 + 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 36*s. Let w(i) = -5*i. Suppose 0 = -3*m + 112 + 11. Let v = -26 + m. Give v*w(f) + 2*o(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4353 (base 8) to base 4.\nAnswer: 203223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 4*d - 4*d + 3*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4918 - -4918. Let c = 0.056 + 34.944. Do b and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**6\/120 - x**5\/15 - x**4\/24 + 5*x**3\/6 + 3*x**2. What is the units digit of l(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 948 bigger than 1895\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*h - 68 = -115*h - 2*u, h + 3*u - 34 = 0. Solve h*j + 27 = -143 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*g - 0 + 1, 3*g = -3*s - 6. Suppose 4*a + 4*l + 8 = 0, -a + 6*l + s = 2*l. Let c(n) = 11*n. Calculate c(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -31*p + 127. What is k(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1408361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 885309 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 71519.62.\nAnswer: 71518.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/3)\/((-30)\/63*7)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 83258105 and 0.2.\nAnswer: 83258105.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 22. Let l be 5\/(-20) - (-14)\/n. Is 0 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-95 + 133 + 138)*(-b**3 + b**3 - 3*b**3) + 0 + 2*b**3 + 0 in the form y*b**2 + j*b**3 + h + t*b and give j.\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 2172342756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.176485334 to five decimal places.\nAnswer: -0.17649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miuuiiiiuiiuuuiiii. What is prob of sequence uum?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/8)\/((-24)\/32). Let z be 759998 + 2 - (-1 + w). Suppose -3*v + 7*v + z = 0. What is v rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 1, 2480, -3\/7, 79 in descending order.\nAnswer: 2480, 79, 1, 1\/3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599478?\nAnswer: 2, 3, 11, 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 + 146. Let c = t + -84. Calculate the remainder when 24 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 3*m - 3*m)*(2 - 2 + 2*m**3)*(-326 - 1250 - 307 + 381).\nAnswer: -6008*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 211.8465078 rounded to one dp?\nAnswer: 211.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -17904\/3731?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlt when three letters picked without replacement from {l: 5, t: 8}.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 35*z + 38*z + 15 = 0, -2*z + 4 = -h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 108038*z + 108046*z - 324142*z + 108046*z - 7.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 359?\nAnswer: -179.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 10:43 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2*o = 0, -4*a = -3*a - 2*o + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 76647?\nAnswer: 38323.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*s = -9*w + 8, w - 4*s + 8 = 0. What is the nearest to w in 0.4, -0.5, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 107 - 392 = 0. Let v = 109 - b. Suppose 5*s + 2*p - v = 0, -2*p - 17 = -4*s + 21. Solve -4*r - s = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - b**2 - 2*b - 1. Let f(w) = -630*w**3 - 420*w**2 - 840*w - 420. Calculate -f(h) + 420*t(h).\nAnswer: 210*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35249450 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 9\/2212 + -17231\/2212. Let j = 9 - -7. What is the common denominator of 32\/(-72)*(-262)\/j and u?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-18)*-2*5*(-439413)\/(-11267).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/78 + ((-5)\/210*-83 - 2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.335576*14.\nAnswer: 130.698064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -162\/17 (b) 453\/8 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 11 = -o - 0*o, -5*o = -3*b + 14. Let g = b + 6. Differentiate 1 - 3 - 3*i + 0*i + g*i with respect to i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24389 - 24386. Which is the nearest to 0.12? (a) -4 (b) 0.02 (c) -14 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - (-93 + 50) - 67.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**2 - t. Let y be q(-1). Let o be (-10)\/y + 3\/(-9). Let j(w) = w + 4. Let v be j(-9). Sort o, v, 4 in increasing order.\nAnswer: v, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 12:17 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*h**2\/11 - 33358*h\/11 - 9532\/11.\nAnswer: 2*(h - 2383)*(7*h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*s = 2*n + 18, 3*n + 27 = -2*s. Let f = -7 - n. Calculate the remainder when 1\/(-1*4\/(-8)) is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - 1.4. Let f = x + 1. Which is the closest to -0.1? (a) -4 (b) f (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 6:49 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 1\/3*d**3 + 0*d - 62*d**2 + 0 + 1\/24*d**4. What is j(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4550 + 20880. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 4. Let l(d) = 5 + 3 - 3 - 6. What is -a(c) + 3*l(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -3*x - 2\/3*x**3 - 1\/4*x**4 - 88 - 3\/2*x**2. What is l(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 2:36 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-64)\/24)\/8)\/((-1)\/6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*p + 5 = -2*p, 5*p - 4 = 4*q. Let y be (q - 0)*148\/(-4). Suppose -5*c + 2*g + y = 0, -5*c + c = -g - 32. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 346\/(-114) + (-59)\/((-6726)\/4). Let s = 0.3 - 0.7. What is the nearest to -0.8 in u, -15, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and -2834379.\nAnswer: -56687580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*d**2 + 989*d**2 - 3*d + 1376*d**2 + 6*d - 3*d.\nAnswer: 2242*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gsssssssssssssssgg. What is prob of sequence ggss?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-60)\/(-4))\/(5\/(-2) + 4) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 - 200*n**2 + 24*n - 2520. Determine p(100).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(10) + sqrt(10) + -1*sqrt(10)))\/(sqrt(324) + sqrt(4)).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3.3 (b) 0.09 (c) -15 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*p**2 + 118540444*p - 59270224.\nAnswer: 4*(p + 14817556)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109 - -108. Let t = 0.4 + 4.6. What is the nearest to g in 3, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4421805.\nAnswer: 3, 5, 294787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - j + 2*j)*(-4 + 0 + 3) + 223 - 45 + 3*j + 366 - 19.\nAnswer: 5*j + 525","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 135840 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 - 6*r - 38. Let w(o) = o + 1. Give -t(f) - 6*w(f).\nAnswer: 2*f**2 + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*v**3 + 94*v**2 - 10*v - 310*v**2 + 216*v**2 + 4 in the form b + w*v**3 + s*v**2 + j*v and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmzyizzmdczyyzm. What is prob of sequence imc?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.9 + 5.1. Let u = 0.5 - -2. Let x = u + -3. Which is the nearest to 2? (a) x (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -15*k**2 - 7*k - 7. Let n(w) = -7*w**2 - 3*w - 3. Let o = -1837 + 1830. Let t = -2 + 5. Determine o*n(x) + t*u(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5369*x**3 + 6*x**2 - 6*x + 1. Let d be l(3). What is d rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 54277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23232.39 centuries in months?\nAnswer: 27878868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -61 - 16*x + 61. Suppose -p - 4 = -3*d + 2*d, 2*d = -5*p - 27. Calculate the lowest common multiple of 12 and m(d).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 60\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of n*u**2*y + 2*n*u**2 + 3*n*u*y + 32*n*y - u**2*y + 11566*y wrt n.\nAnswer: u**2*y + 2*u**2 + 3*u*y + 32*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 43 + 7 = 0. Calculate the least common multiple of 6 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/364)\/(6\/(-16))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -22 + (38 - 2) + (450 - 446)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -25*k - 152. Let v be i(-14). Calculate the greatest common divisor of 693 and v.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299*i + 3420 = -489*i. Let u(t) = -2*t**3 - 35*t**2 + 19*t + 30. Determine u(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1411, -5470, -12227, -21676, -33811, -48626?\n\"Answer: a**3 - 1355*a**2 - a - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -20.3. Which is the biggest value? (a) -0.2 (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1933 by -20491.\nAnswer: 1933\/20491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -2. Suppose g - c = -0*g. Which is greater: g or -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4739064?\nAnswer: 2, 3, 11, 29, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 26*c**2 + 24*c + 56. What are the prime factors of r(-22)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 9, 2*u - 4 = -4*c + 2. Suppose 2*x - 2 = 2*v + 6, 2*v - 6 = c. What is the common denominator of x and 16\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1314 - 935. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23917284, -23917280, -23917276, -23917272, -23917268?\n\"Answer: 4*r - 23917288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a. Suppose 3*o = 2*z - 46, -7 + 41 = z + 4*o. Let c = z - 5. Suppose -d - x + 4 = 0, -d = 3*d - x - c. What is g(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minus -50169?\nAnswer: 50208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*m = -54*m + 20. Let d be 8 - (-2 + 1)*3. Suppose a + d = 12. What is the least common multiple of a and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/5)\/(4\/(-30)). Let x be f\/(-9) - (-7)\/(-3). Let y = -1448 - -1448. Sort x, 0.5, y, 0.4 in decreasing order.\nAnswer: 0.5, 0.4, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 11*n - 2376 = 0. Suppose 4*j - n = 638. What are the prime factors of j?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 2*c**2 - c - 2. Suppose -127 = -19*p + 25. Suppose 2*o + 4*t + 16 = -6, 4*o + p = t. What is b(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -36, 49, 222, 513, 952?\nAnswer: 1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from rggrrggggrg?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -28.19. Let l = r + 0.59. Let f = -0.2 + -3.8. What is the smallest value in l, f, -3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15998104260 rounded to the nearest one million?\nAnswer: 15998000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {i: 7, c: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112101001111001 (base 3) to base 12.\nAnswer: 2684231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7 - 5 - 3)*(-8*a**3 + 3*a**3 - 4*a**3) + 2*a**2 - 2*a**2 - 2*a**3)*(-1 + 0 + 3 + (0 - 4 + 2)*(-1 + 1 - 2)).\nAnswer: 42*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -588650 * 0.06.\nAnswer: -35319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/10 and 2 - 63\/28 - (-46)\/72.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 8. Let y be v(12). Suppose 0 = -q - 4*b + 10, y*q - 9 = -4*b + 7. Solve -4 = -0*j + q*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.064 in 2\/345, 4, 1, 0.9?\nAnswer: 2\/345","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 20*d + 9. Does 11 divide j(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 108 = -116. Let w(u) = -u**3 + 5*u**2 + 7*u - 4. Let y be w(6). Let b be (0 - y)\/(1\/(-2)). Solve j + m = -b*c, 0*c + 5*j + 28 = 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 325?\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x + 7*x - x + 10*x. Let n(a) = 0*a - 3*a + a + a. Calculate n(j(u)).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4\/23 + 24*d**3\/23 - 14*d**2\/23 - 96*d\/23 + 88\/23 = 0 for d.\nAnswer: -2, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven fifths of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 8:11 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10.6, -1, -12, 480?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-4 - -6 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18040 and 385.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 27 - 7 = 0. Suppose 51 = -a*j + 7*j. Calculate the remainder when j is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 4*v**2 - 5*v - 3. Let a(u) = -2*u + 7. Let d be a(5). Give x(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -2*h + 2*n - 5, 2*h - 4 = 2*n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16667.\nAnswer: 7, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(-4*3\/(-9)) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y\/(y\/y**35))\/y*y\/y**(3\/11))**(-5\/3))**(1\/14) assuming y is positive.\nAnswer: y**(-1010\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-51)\/(-12)*4 + -1 and 60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(2\/7)\/t)*t)**18\/(t**(2\/3))**(-1\/62) assuming t is positive.\nAnswer: t**(20095\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from ooooooooowoo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -14.3?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.7, 49, -0.017576 in decreasing order.\nAnswer: 49, 2.7, -0.017576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 6*l**2 + 7*l - 5. Let x(q) = q**3 - 39*q**2 - 82*q + 5. Let j be x(41). What is f(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.7 + 1.3. Let w = f + 1.2. Let d = w - -2.2000009. What is d rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2\/13, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*v - 19060379 = -3587759. Round v to the nearest 1000.\nAnswer: -191000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3920)\/(-700)*45\/(-36)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**4\/4 + 7*f**3\/3 - 11*f**2\/2 + 4*f + 3. Let q(k) = 2*k**3 + 2*k**2 + k + 2. Let r be q(-2). Is 14 a factor of n(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 4*j + 1. Suppose -145*a + 134*a - 132 = 0. Let c be 3\/((69\/a - -4) + 1). What is y(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (-64 - -100)) + (68 - 4).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**7\/14 - 2*h**4\/3 + 92*h**3 + 5*h**2 + 144*h. What is the derivative of p(b) wrt b?\nAnswer: -60*b**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47323632*p**3 - 1013*p - 6690.\nAnswer: 283941792*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (651\/(-868))\/((-3)\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 0*h + h - 2*h. Let f(c) be the second derivative of c**3\/3 + c. Calculate o(f(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10040 + -304403?\nAnswer: -314443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20313 (base 6) to base 12.\nAnswer: -1699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -139.16660184 and -4.8963.\nAnswer: -144.06290184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 410*m + 2028. Determine b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (198\/18 + -12)\/(-1 + (-33)\/(-30))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n**3 - 5 + 6*n + 0*n + n**3. Let s be h(3). Let t = s - -80. What is the greatest common factor of t and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + (-15)\/9)\/((-4)\/(-6)). Solve m*a = a - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 < 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0, 5, -1 in descending order.\nAnswer: 11, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(216) + sqrt(6)))\/sqrt(3).\nAnswer: 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 20268912.1 to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*i - 2990299 + 3000265 = 0 for i.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1013 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -883874 + 454391. Let p = 1159483 + q. What is p rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(3 - (0 - -1)) + -382. Let o = -380 - k. Solve 3*g - o = 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8\/161, 2\/5, 1, 0.06, -4?\nAnswer: -8\/161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*f**2*x**2 - f**2*x - 911*f**2 - 2*x**2 + x - 3 wrt x?\nAnswer: 14*f**2*x - f**2 - 4*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -161*l**3 - 3*l**2 - 5*l. Does 8 divide m(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - z - 17 = 16 - 11, -2*z = 14*z + 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 300*d - 300*d + 6*d**2 + 1 - 2*d**2 - 1 + (-3*d - d + 3*d)*(-4*d + 3*d + 3*d) + 3*d**2 - d**2 - 3*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z - z + (-1 + 1 + 1)*(-z + 0*z + 0*z) + 2 - 2*z - 2 + z + 0*z + z + 4*z - 2*z + 2*z + 2*z + 1 - 1)*(7*z + 7*z + 2 - 15*z)*(-4 + 6 - 3).\nAnswer: 3*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) -3 (c) 2\/9 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 21, -33, -4, 18, 3 in decreasing order.\nAnswer: 21, 18, 3, 1, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x + 0 - x**2 - 1 - 5*x. Let c be z(-1). Let p be 3 - 9\/(3 - c). Solve p = 4*d - o - 6, 0*d = -3*d + 4*o - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 18*u + 21. Let z be h(-13). Let r = -6 - z. Calculate the greatest common divisor of 152 and r.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m - m + 308 = -42*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 553.81*304.\nAnswer: 168358.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h*o**3 + 2*h*o**2 - 77*o**3 + 45*o wrt o?\nAnswer: 18*h - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 734.5301 years in months?\nAnswer: 8814.3612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1184 * 0.3\nAnswer: 355.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 7. Let z(i) = -671*i + 13. Calculate -2*f(n) - z(n).\nAnswer: 669*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j = -27*j - 3055. Let d(h) = -611 + 2*h + j. Let a(i) = 8*i**2. What is a(d(w))?\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 640600739 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 45. Let y = 8 - 7.8. Let x = 0.06 + -0.06. What is the third biggest value in o, y, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/7, 3, 5\/14, 15, 0.3, -0.2, -3\/11?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -340*a - 4. Does 28 divide l(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1741320 (base 10) in base 9?\nAnswer: -3243570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 578*o**2 - 2338*o - 1758.\nAnswer: 2*(o - 293)*(o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -2 (c) 164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 50965 and 0.02.\nAnswer: 1019.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37761 is divided by 216.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 526763437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.85?\nAnswer: 2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 2*z**2 + 36*z + 1. Let p be i(7). Let q be p + -2 - (15\/5 + 1). What is r in -4\/9 - 2\/3*r - 2\/9*r**q = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 74 + 8*u - 74 - 2*u + 3*u - 3*u + (-2 + 2 - 2*u)*(0 - 4 + 2).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*g = 386 + 446 + 1128 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n = -35 - 109 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 62\/29 or 2?\nAnswer: 62\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 687 divide 858371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 313010629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(70\/4))\/((-1082)\/(-83855))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -29 - 51. Let d(c) = c**2 - 7. Let l be d(-7). Let o = l + v. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -9 (c) 2\/3 (d) -2\/9 (e) -1\/7 (f) -12 (g) -1780\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 3*i**7\/7 + 25*i**6\/6 - 776*i**3\/3 + 934. Find the third derivative of t(w) wrt w.\nAnswer: 360*w**3 + 1500*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1469.269 rounded to the nearest ten?\nAnswer: -1470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-239031)\/122580*(-1)\/1*10.\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmhmmmmmmmmmmmm. Give prob of picking 2 m and 1 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-136666.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/20 and -27\/388?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -252994, -254207, -255420, -256633, -257846?\nAnswer: -259059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2)*(4*l - 4*l + l)*(18375*l - 163*l**3 - 18375*l) to the form s + g*l**2 + x*l + r*l**3 + h*l**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*l = -198*l - 1247 - 1108 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23037*n**4 - 123434*n**2.\nAnswer: 552888*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78756260809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x + 3*x**4 - 8*x**3 + 3*x**4 + 7*x - 2 - 4*x - 32*x**2 + 28*x**2 as q*x**4 + j + h*x**3 + a*x + i*x**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (2376\/440)\/(3\/895)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbs when three letters picked without replacement from kpkpbkmkkmskmk.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7329097 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = -2*p + 57, 2*x = 5*p - 143 + 47 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.87 - 0.13. Let i = 8.25 - 15.15. Let w = a - i. Is w less than or equal to 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + -111?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3430 - -3008290?\nAnswer: 3011720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 879*k**4 - 13689*k**3 - 2*k**2 - 2141406*k - 9 wrt k?\nAnswer: 10548*k**2 - 82134*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 2)*(2*c + 3*c - 3*c) + (5*c - 4*c + 4*c)*(-3 + 3 - 1))*(-3*c**2 + 4 - c - 2*c**2 + 7*c**2).\nAnswer: -6*c**3 + 3*c**2 - 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 324862 plus -0.00612?\nAnswer: 324861.99388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 272435\/5745619 - -31\/8173. What is the common denominator of c and 50\/9?\nAnswer: 6327","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48947, 48932, 48893, 48818, 48695, 48512?\nAnswer: 48257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 358249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmqmrumzzmqmzqqm. What is prob of sequence qm?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -111*-187.138\nAnswer: 20772.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107263695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -22*w**5\/5 - 3*w**2 - 34*w + 207. Differentiate m(y) with respect to y.\nAnswer: -88*y**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 2:16 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**6\/21 - 2*y**5\/5 - 9*y**4\/14 + 2*y**3\/3 + 10*y**2\/7 - 537. Find w such that b(w) = 0.\nAnswer: -5, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/4 + (-27)\/(-36). What is the third derivative of -q*r**3 + r**3 - 7*r**2 + 3*r**2 - 3*r**2 wrt r?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166734235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*j + 31 - 31)*(-5*j + 4*j - 4*j + (0*j + j - 3*j)*(1 - 4 + 4) - 5*j + 0*j + 2*j).\nAnswer: -360*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*p + 339 - 67 = -33*p. Calculate the remainder when 644 is divided by p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -348*d**5 + 2*d**2 + 177.\nAnswer: -20880*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*y + 3*d + 49, -5*y + 4*d + 86 = 0. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/18)\/((-175)\/(-50)*((-26)\/126)\/(-13)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 + -8)\/((9\/(-15))\/((-2)\/10)). What is the nearest to -2 in p, 0.04, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1530 at most as big as 2607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 675.9784?\nAnswer: 670.9784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2340 = -18*l + 5*l + 23*l. Solve 5*z + 264 = l for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16604814?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.104 and 773181?\nAnswer: 773180.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*20.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h + 5. Determine k(-11).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 2*a + 3, 0 = 227*s - 226*s - 17*a + 50 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h + 2304 = -31*h. Suppose 0 = -2*a - 6*a + h. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from wwyywywl.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67.004 + -0.004. Let f = a - 67.00059. What is f rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k - 264. Let p = -63 - k. Suppose p*h - 284 = 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 -25197221 divided by -25197221?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/4 + 553839*x\/4 + 21602763\/2.\nAnswer: -(x - 553917)*(x + 78)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -154846 + 263573. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-70)\/18) + -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6*o = 40. Suppose s + o - 23 = 0. Let a = -10 + s. Solve -40 + 16 = -q + a*g, -4*q - 19 = 3*g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 20 = 0, 3*l = -4*v + 4*l + 7. Solve 0 = -4*y + 4*m - 8*m + 32, -3*y + v = -4*m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4*1 - 0) + 0. Let f = i - -12. Let w(s) = -63*s**3 + 2*s**2 + 2*s + 1. Let o be w(-1). Calculate the highest common divisor of o and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*z + z + 4*n - 17, 3*z + 1 = n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/2046 and -23\/3534?\nAnswer: 38874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7559273 by 103.\nAnswer: -73391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 9\/15)*40\/24?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 162, 235, 328, 447?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, -179, 18, 49, 1, 0 in increasing order.\nAnswer: -179, -6, 0, 1, 3, 18, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011100011100110100011 (base 2) to base 8.\nAnswer: 33434643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397 - 169 = 76*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.22 - 0.03. Let k = -0.11 - v. Let a = k - -0.27. Which is smaller: -2\/3 or a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o**4 - 34*o**3 - 5*o**2 - 28*o - 16. Let v(h) = -h**4 + 10*h**3 - h**2 + h + 1. Let w(m) = f(m) + 4*v(m). Let w(c) = 0. Calculate c.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6711646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*4*((-142)\/(-572) + (-248)\/682).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -40732*h**3 + 203860*h**2 - 1000*h = 0.\nAnswer: 0, 50\/10183, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**2 + 3*o + 3. Let y(b) = -5*b**2 + 2*b + 3. Let r(h) = 3*y(h) - 2*z(h). Find the first derivative of r(s) wrt s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1077 - -1242. What is the remainder when s is divided by 78?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4745 - -4747. Let c(d) be the first derivative of -8*d + 4\/5*d**5 + 6*d**m + 4\/3*d**3 - 27 - 3*d**4. Find x, given that c(x) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 6*w + 53151 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/45, 2\/11, 5\/23?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3734129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6684 (base 12) to base 16\nAnswer: 2c44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 47221.649 to the nearest 100.\nAnswer: 47200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g**2. Let j(n) = -8*n**2. Let z(k) = 7*f(k) + 6*j(k). Let p(x) = -6*x. What is p(z(m))?\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -755*z - 2649. Calculate v(-3).\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d6952 (base 14) to base 2.\nAnswer: -100000001101100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/7 in -7, 0, 6, -4, 55?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/34 less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59.3 + 59. Which is the nearest to 27? (a) -4 (b) h (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5481\/(-1102))\/(-27)*52\/(-819)?\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 2 = -4*n, 4 = -12*n + 13*n for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 + 5*z**2 - z. Let c(n) = 5*n**2 + 21*n**2 - 25*n**2. Calculate -5*c(t) + h(t).\nAnswer: -2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28952 rounded to three dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 12 - 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 68*q**2 - 130*q - 124. Let l be f(66). Solve -18*t - 46 = l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/72)\/((-63)\/18).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.59265 centimeters to millimeters.\nAnswer: 545.9265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 153*r**3 - 1 - 153*r**3 - 4*r**5 - 3*r**4 + (-4*r**2 + 0*r**2 + 6*r**2)*(-2*r + 2*r + r**3) - r**4 + r**4 + r**5 - 3*r**5 - r**5 + 2*r**5.\nAnswer: -3*r**5 - 3*r**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 22+-5.8083\nAnswer: 16.1917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 411204 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 173 = 38*p. Solve 0 = 5*b - 2*o - 11 - p, -4*o - 6 = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2. Let o = n + 1. Suppose -20 = -4*u, 3*u = -5*z - 0*u + 35. What is the third smallest value in o, -0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1777 - -2128. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 1 + 1)*(-336*c - 18*c + 733*c)*(4*c - 2*c + 0*c)*(-c + 5 - 5).\nAnswer: 758*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7292, -7290, -7288, -7286?\nAnswer: -7284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -52, 2919 in descending order.\nAnswer: 2919, 1, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (11 - 20) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -2\/9, -46, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*(1 + (sqrt(3) - ((sqrt(15) - sqrt(60)\/sqrt(4)) + sqrt(15))\/sqrt(5))))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10515 and 26064582.\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 11 = -792*g + 790*g + 13, 11*g - 22 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**7\/945 + 2*i**6\/135 + 8*i**5\/135 + 24*i**2. Suppose l(s) = 0. What is s?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 14*u + 19. Does 19 divide x(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 91*o**2 - 80*o + 546. Is 8 a factor of w(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56452 - 56458 + x**3 - 27*x**3.\nAnswer: -26*x**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -122843?\nAnswer: 17\/122843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*n + 3*s - 17, 19 = -4*n - s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/17 and (22\/(-44))\/(3\/(-291))?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50583970 to the nearest integer?\nAnswer: 7112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 2805201.\nAnswer: 280520.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 360*j**2 + 1195*j. Let k(o) = 91*o. Determine t(k(r)).\nAnswer: 2981160*r**2 + 108745*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 365 - 360. Solve 10 = -u*c + 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 15*l**2 + 2*l + 35. Let r be n(-15). Suppose -4*m = -3*o - 7 + 61, -r*m - 1 = o. What is the least common multiple of 22 and (4 - 8\/7)\/(4\/o)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/195 and 64\/1809.\nAnswer: 117585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 446 - 436. Let c(j) be the first derivative of 8\/3*j**3 - 8*j + j**4 - 2*j**2 - v. Determine f, given that c(f) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from {m: 1, y: 2, e: 2, o: 2, p: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-46*o**2 - 18*o**2 + 81*o**2).\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3250*d + 621*d + 3584*d - 419*d + 125*d as k*d + n and give k.\nAnswer: 7161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/5 + 2)*(-650)\/(-41860)*345\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -21*t + 58. What is the greatest common factor of t and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x - 7. Let t(y) = -y + 1. Let f(p) = -3*t(p) - u(p). Let h(z) = -z**2 + 2*z + 5. What is -3*f(q) + 2*h(q)?\nAnswer: -2*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4600 and 13067450.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 5:51 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**5\/60 - a**4\/6 - a**3\/6 + a**2. Let r = -13 - -20. Let w = -10 + r. Determine b(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3.83, -1, 6\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 11012 = 5*x, -z - 239*x + 243*x = -5500. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -134 + 139. Solve 0 = -f*c + 3*g + 9, -c - 5*g - 12 = -g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**7\/42 - 2*i**6\/15 + 3*i**5\/20 + 17*i**4\/6 + 26*i**3\/3 + 12*i**2 + 89*i - 3. Solve r(f) = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 57*j**3 + 19 - 102*j**3 + 5*j**2 + 50*j**3 + 12*j. Is o(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, x: 4, v: 1, c: 4, g: 1, n: 6}. What is prob of picking 1 s, 2 c, and 1 v?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 566707040 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7499*d**2 + 2*d. Let n be s(2). Suppose -2*l + l = n. Round l to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 384*v**2 - 232*v**2 + 437*v**2 + 277*v**2 to k + x*v + s*v**2 and give s.\nAnswer: 866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66*t - 9*t**2 - 8*t**3 - 56 + 4*t**3 + 4*t**3 - t**3.\nAnswer: -(t - 4)*(t - 1)*(t + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-26 + 15 + 19).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 plus -22.705?\nAnswer: -57.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 185*i - 639*i - 131*i)*(3*i - 4*i - 2*i).\nAnswer: 1755*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 56, 5 in ascending order.\nAnswer: -4, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvlgvvlgvvsvsv?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + w = 3*w - 12, 2*w - 8 = 0. What is the greatest common factor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/24913 - -250272\/14225323. Which is bigger: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 10 = 3*o - 2*y, -10 = -3*o - 2*y. Let b = 4 + -8. Let h = b + 2. Which is greater: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 p, and 1 u when three letters picked without replacement from {w: 1, l: 4, v: 1, u: 2, j: 7, p: 5}.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 25*m**2 + 25. Let j be s(25). Let b be -2 + (-9)\/(-5) - (-1805)\/j. Let a = b - 47. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c5 - -e3e7?\nAnswer: e4bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3 + 1 - 8 - (-39295)\/3915)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 11:32 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - -3e8?\nAnswer: 3d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/231 and -22\/16275.\nAnswer: 179025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2. Let x(f) = -4*f**2 - 4*f - 6. Let y(i) = i**2 - i + 1. Let m(n) = -x(n) + 4*y(n). Let c(r) be the first derivative of m(r). Calculate c(d(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*8\/(-36)*6\/(-1). Suppose -z*m = 1 - 9. Suppose -m*s + 3*x = -4*s + 37, -47 = -3*s + 4*x. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3071 = 137*t - 603 + 1094 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1810071 by -7.\nAnswer: 1810071\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 55992.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -562097 + -8?\nAnswer: -5620a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3151034334?\nAnswer: 2, 3, 7, 53, 471853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -208, -281, -342?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9080865 centuries to months.\nAnswer: 1089.7038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-3))\/4*3. Let l(j) = -2*j**2 + j + 1. Let n be l(p). Let s be 4 - (4\/n + 4). Solve -s = -t + 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 42\/5 of a tonne?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 52\/3 of a century?\nAnswer: 20800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 33\/(3 + (-260)\/90). Calculate the greatest common factor of 55 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + 0 + (24 - (-5 - 4)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*r, 0 = i + 10*r - 14*r - 19149. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 534 + 287 = 4*r - 284, -35 = 3*f - 5*r for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 14) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 + 55. Let y be ((-80)\/25 - w) + 1\/5. Determine o so that -12*o**2 + 3*o**4 - o**2 + 2*o**2 - 6*o + 2*o**y = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -212 and 782.\nAnswer: -165784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6266 (base 9) in base 6?\nAnswer: -33140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w - w)*(-w**4 + w**4 + 2*w**4) + 0*w**3 + 0*w**3 - w**5.\nAnswer: -5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 times -15810?\nAnswer: -2940660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 4, g: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 + -50. Calculate the highest common divisor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*n + n + 5*n**3 + 5*n - 3 - 24*n as k + p*n**2 + m*n**3 + l*n and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2313 - 25?\nAnswer: -2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120 - -134) + (3 - 44) - -15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 706 and 102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -50.2506 + 2280946.43\nAnswer: 2280896.1794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2892.7+-0.5\nAnswer: -2893.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 644 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*k + 27*k + 12*k)*(-3*k**4 - 10*k + 10*k).\nAnswer: -87*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + b + 6 = 7*t, -1 = -b + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1488, 5, -2 in decreasing order.\nAnswer: 5, -2, -1488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 118. Let u be f(0). Let w be u\/(-2 + (0 - -3)). Let q = -65 - w. What are the prime factors of q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, -5, -960, 1 in decreasing order.\nAnswer: 1, -5, -117, -960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8*n**3 + n**2 + 6*n + 9. Let i be d(-2). Let v = -60 - i. Let w be (v - 1494\/(-2))*(3 - 403). Round w to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(119) - (sqrt(119) - -6*(sqrt(119)*-4 + sqrt(119))))\/((sqrt(14) + sqrt(126))\/sqrt(2)*-5*2).\nAnswer: -29*sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2689 - 5006 = -19*v. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1011 is divided by 4\/(-46) + -12 + (-12520)\/(-92).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 8, 2*m + 19 = 3*h + m. Let z = -8.974 - -7.974. Which is the closest to 2\/7? (a) h (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 10*o**2 + 24*o + 35. Let j = 7 + 5. Calculate the remainder when n(-12) is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**8\/168 - h**5\/24 - 37*h**3\/3 - 8. Let w(j) be the third derivative of p(j). Find the second derivative of w(n) wrt n.\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1869 - 7761?\nAnswer: -5cd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 89261861483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 155*n**2 + 3*n. Let k(y) = 776*y**2 + 14*y. Determine -6*k(f) + 28*q(f).\nAnswer: -316*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 7*f**2 + 10*f + 27. Let s = 11 + -17. Let v be y(s). Solve 4 = -4*l + 3*r - 7*r, -3*l + v*r = -3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 12\/(0 + (-3)\/(-72))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + 49. Give d(-22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-12537)\/(-1194))\/(6\/4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -74 in -3\/2, -7, -0.4, 15\/59?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/13? (a) 0.1 (b) -2 (c) 1003\/5 (d) -3 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 5, m: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnuv when four letters picked without replacement from {n: 3, u: 7, v: 8, j: 2}.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y. Let p(l) = -3306*l**2. What is p(o(d))?\nAnswer: -3306*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 50\/31, -1.985 in decreasing order.\nAnswer: 50\/31, 0.3, -1.985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20634 + 11500?\nAnswer: 32434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgv when three letters picked without replacement from gtraagtvaggc.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**2 + 7. Let w(g) = -g**3 + g**2 + 2*g + 1. Let c be w(-2). Let n be (-2 + c\/6)*-4. Let u(h) = -h**2 - 2. Determine n*t(r) + 7*u(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93327 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = r - 2*g + 4*g, 5*g - 25 = 0. Suppose -r*j - 54 = 2. Is (-8)\/j + 178\/14 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/((k*k\/k**(-1))\/k))\/k)\/k)**5)**34*(k**(1\/4))**49*(k*k*k\/k**(2\/5))**(-16) assuming k is positive.\nAnswer: k**(-10787\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 c when three letters picked without replacement from {l: 2, c: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 9:02 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osqmqqssumsossusqo. Give prob of picking 1 s and 1 o.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(258\/(-43)*2*(-33)\/24)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/3)\/((-6)\/(-36))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5\/((((p*p*p**(-6))\/p)\/p)\/p))**(3\/2)*(((p\/(p*p*p\/((p*(p*p\/(p\/p**(-3\/4)))\/p)\/p)))\/p)\/p**(-1))\/(p*p**(-6)*p*p*p*p**(-5)*p) assuming p is positive.\nAnswer: p**(85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 829942.3 rounded to the nearest 10000?\nAnswer: 830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.3 + -7.3. Let r = 5 + -10. Let z = -3 + 4. What is the closest to z in v, 1\/5, r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 4:41 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -353, -22, -1, -3 in ascending order.\nAnswer: -353, -22, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -3. Suppose -2*y - p*m + 6 = -7, 0 = 5*y + 2*m - 64. Suppose r - b - y = 0, b + 20 + 30 = 3*r. What is the highest common factor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u**2*v**3 + 734513*u**2*v - u**2 + 2*u*v**2 - 2*u*v + v**3 + 242415*v**2 wrt u.\nAnswer: -6*v**3 + 1469026*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - 56*2743\/(-6396)?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673769778.\nAnswer: 2, 3, 11, 37, 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (183 - 55 - 102) + 82.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.1 + -12. Is t smaller than 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1495, 3528, 6905, 11620, 17667, 25040, 33733?\n\"Answer: -n**3 + 678*n**2 + 6*n + 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -17*z + 2. Let c(f) be the second derivative of 11*f**3\/6 - f**2\/2 + f. Let s(g) = 8*c(g) + 5*l(g). What is the first derivative of s(m) wrt m?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5259*o + 36814. What is k(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000315235 to 6 decimal places.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8*x - 1. Let k be 1 - (-8)\/(1 + 0). Suppose u + s + 2*s = -1, -3*s - k = -3*u. Let p be v(u). Solve 0 = -0*a - 3*a - p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117835 + -78250. What are the prime factors of m?\nAnswer: 3, 5, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 139 + 71. Calculate the highest common factor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-930)\/90*(-2 - (0 - 5)). Which is smaller: -51 or a?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.66 and 89.\nAnswer: 89.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (56\/(-40) - -2)*5\/2 + 441\/(-1134). Solve -j*a - 7\/9*a**2 + 1\/9*a**4 + 0 + 4\/9*a**3 = 0 for a.\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/4)\/((-39)\/(-10114)). Let h = t + -385. Solve 0 = -5*c - h*m - 5, -2*m + 5 = -3*c - 4*m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*m**2 + 144*m + 20.\nAnswer: 4*(m + 5)*(7*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2241243 + -5?\nAnswer: -2241250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -133*j - 9706. Give w(-73).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/7)\/(-39*(-40)\/32760). Solve z*s - 12 = 0, -2*r - 3*s - 8 = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 155 - 135 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 - -93. What is the closest to -1 in -1, -4, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -142*j. Let d(x) = -3*x + 4. Let o(k) be the second derivative of -11*k**3\/6 + 7*k**2 - 119*k. Let t(f) = 7*d(f) - 2*o(f). Give t(m(w)).\nAnswer: -142*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1532 - 9*b - 40*b - 1531 as y + w*b and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100168573283\/3040 - 32950189. Let i = a + -3\/608. Let r = 14538 + -348835\/24. Find the common denominator of i and r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 250 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5\/3 + 16*l**4\/3 - 4*l**3\/3 - 104*l**2\/3 + 146*l\/3 - 56\/3.\nAnswer: 2*(l - 1)**3*(l + 4)*(l + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 2*d**3 - 3*d**2)*(-3*d + 0*d + d) + 156*d - 40*d**4 - 156*d + (d + 6*d - 5*d)*(-d**3 - d**3 + 4*d**3).\nAnswer: -40*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 19735 - 19735 + 337*n + 41*n. Let w(t) = 7*t. What is c(w(v))?\nAnswer: 2646*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -133214544 (base 6) in base 16?\nAnswer: -28da40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 23645?\nAnswer: -3\/23645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19019501.\nAnswer: 683, 27847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 606*h**2 + 1215*h\/2 + 152.\nAnswer: -(h - 304)*(2*h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 152*l**3*v - 9*l**3 + 10*l*v**3 - 155576*v**3 wrt l?\nAnswer: 456*l**2*v - 27*l**2 + 10*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(550) - sqrt(550)*-1) - sqrt(550) - sqrt(550))\/sqrt(10))\/((sqrt(350)\/sqrt(63))\/sqrt(10)).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebeb. What is prob of sequence eb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 1 = -26. Suppose 0 = r - 3*q - 16, 2*q = -x*r + 3*q + 24. Let v be ((-18)\/r)\/(-3)*14. What is the highest common factor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/18*12\/21\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 5*u + 55 = 0, 9*f - 4*u - 24 = -6*f - 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4641, -5606, -6481, -7266, -7961?\nAnswer: -8566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1328956508.\nAnswer: 2, 11, 233, 129629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.104 + 3.896. What is the fourth biggest value in 0, h, 3, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11929462?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f**2*x**3 + 233885381*f**2 - 28924769*f*x wrt x.\nAnswer: -3*f**2*x**2 - 28924769*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 4, -0.4, -3\/4, 0.22, -7\/3?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*k + 132*k + 142*k = -7191 for k.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -t + x, 4*t + 4*x - 87 = 209. Let z be ((-21)\/(-1))\/((-3)\/(-4)). Suppose f - t - z = 0. Calculate the greatest common factor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3296693021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1236?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 380754192, 761508385, 1142262578, 1523016771?\n\"Answer: 380754193*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -5*i + 21. Let p(q) = q**3 + 9*q**2 + 7*q - 2. Calculate the remainder when p(i) is divided by -1 - -1 - (-1 - 15).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 7:26 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20*z**2 + 50*z**2 + 22*z**2)*(8*z**2 - 2*z + 3*z - 9*z**2) to the form f*z**2 + v*z**3 + d + j*z**4 + t*z and give j.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, n: 2, g: 5}. What is prob of picking 2 g and 1 o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1099 and 29\/5.\nAnswer: 5495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*a - 2*d = 443*a + 6, -25*d - 130 = -5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3753 and -0.79?\nAnswer: 2964.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 84, 132, 184, 240, 300, 364?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105856801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 3:00 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0958 - 404.9042. Let l = -404 - v. Which is the nearest to 0.1? (a) -2\/15 (b) l (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mswnwnnmmnpp. What is prob of sequence npww?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14526971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 371988688?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3*z + 6 = 0. Suppose -3*y = 2*p, p + 0*y = z*y. Solve -k + 0*h - h = -10, k - 4*h + 15 = p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12985\/159*3\/7. Solve -13*i + 6*i = z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j - 2. Calculate k(-7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.173, -1, -1\/2, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 49*y**2 - 519*y - 208. What is n(58)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/9 - 516238*q\/9 + 1032500\/3.\nAnswer: -2*(q - 6)*(q + 258125)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(-2)*(-33)\/(30723\/(-196))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 4:14 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1732 is divided by 841?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -226\/1311 - -1\/69. Are g and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by (-65)\/10*-4 + -1*2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -23*y - 1. Let s(w) = 17*w + 284. Let f be s(-17). Let j(m) = -m. Calculate f*j(h) + a(h).\nAnswer: -18*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1273)\/(-95) - (-2)\/(-5). Solve 2*x = -5*n - g, 3*n + 11 = x - 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or 339?\nAnswer: 339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81 and 70511778?\nAnswer: 634606002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*r + 57 = -330 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -30, -28, -10?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6*1\/(-2)*(-12)\/48\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129 and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.02, -7, 3\/2, -2642?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 13. Suppose -t*n + 8 = 23. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.354 - -0.353994092. What is j rounded to seven decimal places?\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6416, 12872, 19328, 25784?\n\"Answer: 6456*c - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 5. Calculate the remainder when y\/((-8)\/(-4)) - -35 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 1022343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**4\/12 + f**2\/2 + 2*f - 2548. Let p(y) = -y**2 - 11. Calculate -2*p(j) + 4*r(j).\nAnswer: -2*j**2 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -2*k**6\/15 + 2*k**5\/5 + k**4\/3 - 4*k**3\/3 - 8*k - 11. Let h(w) be the first derivative of n(w). Solve h(u) = 0 for u.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o + 1\/24*o**4 + 1\/2*o**2 + 0*o**3 + 0. Let m(v) be the first derivative of h(v). Let x(s) = s**2. Give m(x(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38508, 17, 0.24, 5\/2 in increasing order.\nAnswer: -38508, 0.24, 5\/2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 + -111. Let q = l - -72. What are the prime factors of q?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7549249 months in millennia?\nAnswer: 0.000229577075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-9 + 27 + -3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 7*j**2 - 4*j + 2. Let w(q) = -6*q**3 + 41*q**2 + 14*q - 14. Calculate the remainder when u(-4) is divided by w(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*m - 3*z, 950*m - z = 951*m - 8. Let j(d) be the third derivative of 0*d**3 + 0*d + 0 - 4*d**m + 1\/12*d**4. Let w(l) = -4*l**2. What is w(j(g))?\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 7*l**2 + 7*l + 9. Let v be u(-6). Let h(f) = 17*f**2 - 9*f - 3. Let i(j) = 6*j**2 - 3*j - 1. Let r(k) = -4*h(k) + 11*i(k). Give r(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4961763*-0.2.\nAnswer: -0.29923526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -5*b + 89. Suppose b = p - 202. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 0*x**3 + 35*x - x**2 + 0 - 7\/8*x**4 - 1\/2*x**5. What is the second derivative of z(f) wrt f?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 5*d - 2. Let x be c(-6). Let h(w) = -2*w + x*w + 2*w. Let s(b) = 7*b + 8*b - 24*b - b + 11*b. What is h(s(r))?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 43384, 86751, 130102, 173431, 216732, 259999?\n\"Answer: -z**3 - 2*z**2 + 43380*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1465686196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 894753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5930047 and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**8\/2160 + l**7\/3780 + 4*l**3\/3 + 7*l**2\/2 + 60. Let s(u) be the third derivative of n(u). Suppose s(i) = 0. Calculate i.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(88) - -6*(sqrt(88) + sqrt(88)*-3 - sqrt(88)) - (sqrt(88) - sqrt(88)*1*-5)))\/((3*sqrt(648) + sqrt(8)*1*5)*2).\nAnswer: -69*sqrt(11)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(2\/(-3)))\/((-1083)\/(-3610))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (330\/(-275)*15\/9)\/((-4)\/26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 + 110. Let z(t) = 5*t + 3. Let b(y) = 6*y + 4. What is q*z(v) - 3*b(v)?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30812 + 32465. Calculate the least common multiple of 522 and q.\nAnswer: 9918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -7*w - 31. Let p be i(10). Let c = -100 - p. Let f = -13\/5 + 11\/5. Is f >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3, 2*j + 3 = z - 4*z. Suppose -80*n = 76*n + 37*n - 579. Solve 2*h + 10 = j, 0 = n*a - 0*h + h + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 4875\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 0*g**2 - 33 - 40\/3*g**3 + 27*g. Let q(s) be the first derivative of i(s). Let l(f) = -f**2. What is l(q(d))?\nAnswer: -6400*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 35 = -2*g, -16*g + 1217*t + 170 = 1215*t for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30770*k**3*x**6 + 3*k**3 + 65631*k*x**2 - 2*x**6 wrt x?\nAnswer: -3692400*k**3*x**3 - 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 14*n + 3*h + 2*h, 0 = -6*n + h - 4*h - 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*p**2 - 39*p + 12.\nAnswer: 3*(p - 1)*(9*p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 9:59 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5701 divided by 50386?\nAnswer: 5701\/50386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -1, 20, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239538724.\nAnswer: 2, 29, 43, 48023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1328700 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 4*m**2 + 2. Let l be p(1). Suppose -4*s + 348 = 2*d, -268 = -s - 2*s + 2*d. Calculate the greatest common factor of s and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + 4*o. Let k = 39 - 49. Let x be 128\/k*(1\/(-1) - -6). Let w = x - -68. Calculate a(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64023193.\nAnswer: 13, 101, 48761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(132)*3)\/sqrt(12) - sqrt(44)*3).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + -2 + (sqrt(343) - -3*sqrt(343)) + sqrt(343))*-1)**2 - (-6*-2*sqrt(84))\/(sqrt(12) + (1*sqrt(108))\/sqrt(9)).\nAnswer: -174*sqrt(7) + 12352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 5) in base 7?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 677*w - 1003. Let b(m) = 339*m - 500. Let j(c) = 11*b(c) - 6*t(c). Differentiate j(o) wrt o.\nAnswer: -333","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/119 + 30\/119. Which is the closest to -2? (a) -3 (b) p (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 11:57 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, o: 1, i: 2, h: 4, s: 1}. What is prob of sequence oim?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 9 = 2*j - 0*f, 9 = 3*f. Suppose 0 = 4*p - 0 - 36. Solve j*c = -0*c + p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10226606 (base 7) to base 5\nAnswer: 210124232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/546 and -49\/90480.\nAnswer: 633360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 361 = 4*x, 2*v - 163 = 2*x + 75. What is the highest common divisor of 1679 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137 + 186. What is the remainder when f is divided by 2\/8 + (-204)\/(-16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 13*a + 4*u - 442 - 100, -206 = -5*a - 2*u for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 6 - 2. Suppose 3*k + 2*p = 11, -k - c = -2*k - p. Suppose -k*y + 0 = -6. Solve 2*q + 2 + y = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 7:55 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*n**2 + 74*n - 1 - 73*n - 13*n**2 + (-2 + 2 - 2*n)*(-3*n + 0*n + 4*n).\nAnswer: 22*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 3:16 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73ab73 (base 12) to base 10.\nAnswer: -1822983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -184?\nAnswer: -920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 1. Let d be -3 - -6 - (-1 + (3 - -4)). Let f(j) = -4*j. Let u(l) = -8*l + 1. Let n(i) = 14*f(i) - 6*u(i). Let p(z) = d*n(z) - 21*v(z). Give p(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 15. Let o(g) = g**2 + 12*g - 2. Let q be o(-5). Let u = w - q. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/76, 0.389, -3\/19 in increasing order.\nAnswer: -3\/19, 3\/76, 0.389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d*g**2 - 102993681*d*g - 2195838*g**2 wrt g.\nAnswer: 8*d - 4391676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/5 (b) -162\/41 (c) 0.12 (d) 2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2 - y**2 - 18*y - 14 - 2*y**2 + 0*y**2 + 1.\nAnswer: -3*(y + 1)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 - -59. Let n be w\/12*2 + 620\/8. Suppose 2*j = -s + 76, 227 - n = 2*s + 5*j. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 369907 and 168907?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 7*d + 3. Let z be s(-4). Factor -79 - 5*r + z + 42 - 5*r**2.\nAnswer: -5*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 r when four letters picked without replacement from {r: 2, h: 3, c: 2, f: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t - 5. Let l(z) be the second derivative of -11*z**3\/6 + 9*z**2\/2 - 65*z - 1. What is -7*f(y) - 4*l(y)?\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-256)\/(-576))\/(4\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67916568 to the nearest integer?\nAnswer: 8241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 4. Let u(c) = 2*c - 6. Let h(d) = -8*b(d) + 5*u(d). Let r be h(1). Suppose -5*k = z - 2435, 1948 = k + 3*k - r*z. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccgg. Give prob of sequence cg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67143999 - 45*j**3 - 67143999.\nAnswer: -45*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 12. Let b(z) = -z**3 - 4*z**2 + 5*z - 2. What is b(n)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4260 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 29 + 16 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.57 - 268.57. Let v = o + 268.0000213. Round v to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(6 - (-41048)\/(-21)). Find the common denominator of 0\/(-1) + 68\/(-22) and h\/444 + (-2)\/(8 + -2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 1404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27602 or -27601?\nAnswer: -27602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.1 - -3. Let t = -1.5 - -109.5. Let m = t + -103. Which is the fourth smallest value? (a) -1\/3 (b) l (c) m (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 40 (b) -0.14 (c) 568320\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by (-10*3\/12)\/((-2)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/6 and 137\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8*v**3 + 3*v**2 + 24*v. Let q(k) = -7*k**3 - 4*k**2 - 24*k. Let t(r) = 3*q(r) + 4*y(r). What is the second derivative of t(w) wrt w?\nAnswer: 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + v + 17 = 0, 2*x + 6 = 5*v + 51 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -889*q - 4*w = -891*q + 12, 0 = w for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3139454 + 3?\nAnswer: -3139451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - a - 2)*(-11 + 1 + 4).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1093*k**3 - 4051*k**2 - 26235374*k.\nAnswer: 6558*k - 8102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1153 - -2?\nAnswer: -1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 6264720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 8 = 0, -92*r - m - 8 = -95*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10a8a9 - 41a?\nAnswer: 10a48a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.037? (a) 4 (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -4. Suppose 2*x = -2*q + 14, -r*x + 12 + 19 = 4*q. Solve 1 = x*i - 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 9. Let x(o) = -o - 10. Let c(k) = -5*u(k) - 6*x(k). Let t be c(-14). Solve 0 = -3*b - 2*l - t - 5, 4*l - 8 = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q = -55. Let t(b) = -b**2 + b + 11. Let n(x) = -5*x**2 + 5*x + 43. Let j(z) = -2*n(z) + 9*t(z). Is 17 a factor of j(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 15\/25*(690 + 5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and 5047.\nAnswer: -252.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9076297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 9*a**2 - 9*a + 9. Let x be i(7). Does 11 divide -2*(-3)\/8*x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 83, 166, 263, 380, 523, 698, 911?\n\"Answer: t**3 + t**2 + 73*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and -12.59.\nAnswer: 264.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6023 + -6012. Sort 1, 3, o in decreasing order.\nAnswer: o, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60399480*t**3 - 7*t**2 + 2*t + 209657 wrt t?\nAnswer: 362396880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8688 = -83*p + 77*p. Let g = 3459 + p. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 12*r**2 + 17*r + 17. Let o(t) = -3*t**3 + 21*t**2 + 33*t + 29. Calculate 4*o(j) - 7*s(j).\nAnswer: -5*j**3 + 13*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3 (b) 0.11 (c) 2\/9 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - y = -5*y - 7, 3*o = 4*y + 37. Let n = 4 - -1. Suppose 0 = -g - n*t - 5, 4*t = -4*g + g - o. Put 0, -1, g in descending order.\nAnswer: 0, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/42*357\/(-221)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 56*b**2 - 25*b + 116. Let q(x) = -67*x**2 + 26*x - 118. Let y(h) = -5*q(h) - 6*w(h). Calculate y(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 + -97. Suppose 3*l + 5*d - 46 = n, -30 = -0*l - 2*l - 3*d. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57.07 + -57. Which is the closest to -0.1? (a) y (b) 4\/7 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 168*r + 118. Let a(s) = 140*s + 113. Let n(t) = 5*a(t) - 4*m(t). Calculate n(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 706654?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**3 + 13*v**2 - 7. Let u(l) be the first derivative of l**4\/2 - 7*l**3\/3 + 4*l + 30. What is 4*g(s) + 7*u(s)?\nAnswer: -2*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m - 1. Let s be f(1). Suppose -86 = 2*y - 2*o - 432, 5*y - 877 = -o. Let z = 170 - y. Sort s, 20, z in increasing order.\nAnswer: z, s, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200, 1691, 5734, 13607, 26588?\nAnswer: 45955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1873595839.\nAnswer: 67, 163, 171559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i - 4. Let u(c) = c + 1. Let o(v) = -d(v) - 4*u(v). Let a(y) = 0*y**2 - 4*y**2 + 3*y**2. Determine a(o(z)).\nAnswer: -81*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-27)*l*((l\/(l*l\/l**(-8)*l*l))\/l)\/l assuming l is positive.\nAnswer: l**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124531 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + -1*(sqrt(512) + sqrt(512) + 4 + sqrt(512)*1 - sqrt(512))*2 + 2)**2.\nAnswer: -8201 - 384*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4328)\/(-60) + 8\/(-60). Suppose -2*k = 2*k - x. Suppose 0*a = -3*n + 3*a + k, -2*a = -n + 11. Solve -4*m + 4*l = -28, 0*l + n = 4*m + 5*l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 3:40 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 50715968 to the power of 1\/3, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -19. Is ((-4)\/p)\/((-2)\/(-237)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/42)\/(-1))\/((-504)\/588)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 105*z - 12. Suppose 674 = 4*o + 642. List the prime factors of b(o).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nknkkkkkkkkknkknkk. What is prob of sequence nn?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 7*c**2 - 5*c - 1. Suppose 7*j = 5*j - a + 8, a + 10 = 4*j. Suppose -6*q + j*m - 18 = -9*q, -20 = -3*q - m. What is v(q)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j - 3. Let q be (-3)\/(j - 6\/(-4)). Let o = 22 - 14. Solve -o - q = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 39.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 23. Let o be h(-10). Let y(s) = -o*s + 6*s - 3*s + s**2. Let x(n) = 8*n. What is y(x(g))?\nAnswer: 64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9828 greater than or equal to 2719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/((-21)\/(-6)))\/1. Let m be ((-43)\/4)\/(p\/8). Suppose -u + 4*a = -m, -2*a - 51 = u - 2*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1211762 is divided by 136.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/37656 and 17\/790776.\nAnswer: 790776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 33*u**2 - 2*u + 72. Give g(33).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 301\/(-43) - (-54)\/8. What is the second biggest value in 3\/7, -4, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x\/(x**(10\/3)*x*x))\/x)\/x)\/x)**(2\/55))**(15\/7) assuming x is positive.\nAnswer: x**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 299885145.\nAnswer: 899655435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.07, -7, 0.4, 2.1, -8 in descending order.\nAnswer: 2.1, 0.4, 0.2, -0.07, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22184 divided by -4.\nAnswer: -5546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8292 and 704934015.\nAnswer: 2073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 414.7 - 414. Which is the smallest value? (a) w (b) -3 (c) 1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -48\/13, -1\/6, 3\/7, -9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 16*p + 20. Suppose -4 = j - 3. Let z(o) = -o - 1. Let f(q) = j*y(q) - 20*z(q). Let d(k) = -k**2. Determine d(f(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10710)\/(-154) - (18\/6 + -3 - (-66)\/121).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 8:53 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 57ece (base 16) in base 3?\nAnswer: 200022000121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1941282\/308637 + ((-66)\/9 - -1)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*10\/(-8)*2008\/(-1255)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4855 - -13122. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2. Let a(d) = -61*d + 25. Determine y(a(z)).\nAnswer: -7442*z**2 + 6100*z - 1250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5441461 (base 7) in base 14?\nAnswer: 134831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 - 24827?\nAnswer: -24841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 1903*k + 22904. Calculate d(-12).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/24 and -83\/5998538.\nAnswer: 71982456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 288.9 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(143) + (sqrt(143) - -2*sqrt(143))*-3 + sqrt(143))\/(4*sqrt(176)))**2.\nAnswer: -1911\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48766 + 10780 = 19*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**4\/12 + w**3\/6 - 7*w**2\/2 + w - 7. Let z(g) be the first derivative of m(g). Calculate z(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*u**4 - 311618*u**3 + 19*u + 573871345 wrt u.\nAnswer: -8*u**3 - 934854*u**2 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = -u - 3, -3*c = u + 4. Suppose -3*o + 6*o - 21 = 3*l, l = -3*o + u. Solve -2*f = o*f + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.5 + -0.5. Let l = -108 + 94. Let k = l - a. Are 0.1 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -2. Let l(k) = -k**3 - 3*k**2 - k + 1. Let q be (-2)\/(-1) + -13 + 8. Let m be l(q). Solve j*g + o = g - 1, -m*o - 4 = 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4543 = 29*q + 1034. Calculate the remainder when 618 is divided by q\/2 + 18\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3400)\/(-102))\/5)\/(-16)\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.1 and 0.18?\nAnswer: 2.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 135\/7 + -2423\/126. Let u(q) be the second derivative of -q + 1\/9*q**3 + 0*q**2 - z*q**4 + 0. Solve u(m) = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 9*m + 3. Suppose 0 = -2*k + 28 - 8. Suppose 0 = -22*t + 26*t - 200. What is the remainder when t is divided by a(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00068517 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252320*p + 161127*p - 76016*p - 6.\nAnswer: 337431*p - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -1)\/(23\/(-46))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u. Suppose -4*b - 8 = 5*m, -3*m + 2 = 5*b + 12. Let c(v) = m*v - 3*v + v + 4*v. Determine c(a(p)).\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 23. Let v(p) = p**3 - p. Let m be v(1). Let l be c(m). Let t = l + 33. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 6*i + 2. Let s be w(-6). What is the third derivative of -z**6 + s*z**2 - z**2 + 2*z**2 wrt z?\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 b, and 1 p when three letters picked without replacement from {e: 3, t: 2, p: 1, b: 4, o: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 199080 divided by 9954\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s**2 - 49*s + 68. Let y be r(10). Let m = y + -278. Suppose 5*t = 18 + 7. Solve 2*u - 4*l = 8, m*l + t*l = 2*u - 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -3. Suppose -4*g = j + f - 2, -5*g = -j - 1. Solve g*z = -5*z - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4 - 4*l**2 - 64*l + 62*l + 3*l**2 as h*l + o + u*l**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -332125 divided by 1?\nAnswer: -332125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m - 18 = 6*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*v - 5*a + 545, 4*v + 4*a = 548. What is the highest common factor of v and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152812?\nAnswer: 2, 11, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 29*x**2 - 1523*x - 3965. What is l(55)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*b - 12 = 0, 5*b + 4 = -3*v - 16. Suppose -y - 2*u + 25 + 26 = v, 3*y = 3*u + 171. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1663224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + j**2 - 2*j. Let y(s) = 2139*s**3 + 2852*s**2 - 5704*s. Calculate -2852*x(r) + y(r).\nAnswer: -713*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**3 + 2*r**2 + 2. Let t(c) = c**3 + 14*c**2 - 2*c + 23. Let g be t(-14). Let s(j) = 25*j**3 + 17*j**2 + 17. Determine g*w(v) - 6*s(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 56*p**2 - 621*p + 20. What is the remainder when v(40) is divided by 62?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10 + -9)*-2 - -7 - 3. Let r(n) = -10*n**2 + 2*n - 1. Let g(s) = -51*s**2 + 10*s - 5. What is f*g(i) - 11*r(i)?\nAnswer: 8*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**2 + 91729*m - 275190*m + 4*m**2 + 91726*m + 91735*m.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 24, -623*r + 5*j + 36 = -619*r. Is -5\/3094 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/7 (b) 1\/2 (c) 4 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c + 17 - 10*c**3 + 21*c - 14*c**2 + 18*c**3 - 7*c**3. Give g(13).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -425 + -5?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y. Suppose -2*d = 4*n - 94, -2*n - 3 + 5 = 0. Let j = d + -26. Suppose -11 = 4*i - j. What is w(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*u + 41*u = 25. Let s(y) = 0*y + 3*y - u*y. Let b(h) be the first derivative of -26*h**3\/3 - 4. Calculate b(s(o)).\nAnswer: -104*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*b**6*j**2 + 40*b**6*j + 4*b**2*j**2 - 176*b**2 - 2*j**2 wrt b.\nAnswer: 1440*b**3*j**2 + 4800*b**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.86 to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 44929*o + 269597. Determine k(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 606*g - 11*g**2 - 2 - 41*g**2 - 19*g**2.\nAnswer: -70*g**2 + 606*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 372938 + 9442492?\nAnswer: 9815430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, v: 2, h: 4}. What is prob of picking 1 h and 3 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -124*a**4 + 1647*a**3 - 5317*a**2 - 2106*a - 196. Let w(p) = -p**4 - p**3 - 2*p. Let n(l) = f(l) - 3*w(l). Factor n(j).\nAnswer: -(j - 7)**2*(11*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02 and 77161.021123828.\nAnswer: 77161.001123828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -341132 (base 5) to base 4\nAnswer: -2330022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -f, -v + 5*f = -0*v - 15. Let n = v + 4. Let c = n + 13. Solve 2*b + c = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -435819, -871633, -1307457, -1743297, -2179159?\n\"Answer: -v**3 + v**2 - 435810*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -214341.8 and -0.4.\nAnswer: 85736.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4492.1903 + 0.1.\nAnswer: -4492.0903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 771 - 767. Let b(x) be the third derivative of 1\/2*x**3 + 0*x + 0 - 2*x**2 + 1\/12*x**o. Differentiate b(t) with respect to t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 11. Suppose -5*x - u = -3*b + 40, -3*x = -9. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -343 (base 9) to base 16\nAnswer: -11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**4\/12 + 5*v**3\/2 - 39*v**2 - 2030*v. Give d(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 + -0.8. Let l = m - 1.8. Let s = 6.44 + -4.44. Put 0.3, l, s in decreasing order.\nAnswer: s, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w - 6*n = 70, n - 24 + 29 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/6)*p*p*p*p*(p\/(p\/p**2))\/p assuming p is positive.\nAnswer: p**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79 - -70.8. Let r = -7.8 - d. Which is the nearest to -0.06? (a) -0.3 (b) r (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -62, 4, 14 in decreasing order.\nAnswer: 14, 4, -3, -4, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1752083065?\nAnswer: 5, 350416613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -197046 divided by -73\nAnswer: 197046\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/14*(2 - 2)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**3\/6 + 13*f. Let n(g) = -g + 3. Determine u(n(j)).\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -9. What is the remainder when (3\/12)\/((-5)\/(-920)) is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + o**2 + o + 22. Let w = -1807 - -1983. What is the smallest common multiple of w and u(0)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (44\/(-203) - (-520)\/(-7540))\/(16\/14). Which is the third smallest value? (a) 13 (b) 1\/8 (c) -4 (d) 0.04 (e) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 + 3 = 94*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 9160.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -53, 1 in descending order.\nAnswer: 1, 0, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3886*k + 3407*k + 2 - 11*k**2 - 2 - 7293*k.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -149*j**2. Let q(g) = -4628*g. Calculate p(q(k)).\nAnswer: -3191339216*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b + 129. List the prime factors of z(-13).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 761 - 759. Suppose 4*n = 2*l - 2, m*l + 1 = n + 6. Let v(a) = -5*a + 8. What is v(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-6)*-18 + -5. Suppose -9*j + 13*j - 52 = -c*t, -3*t = 4*j - 52. Let q(d) = -d**2 + 15*d - 15. What is q(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.9 (b) 20 (c) -2 (d) -0.2 (e) 5.12 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5753214 (base 9) to base 7.\nAnswer: 35253364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-2)\/(-10))*-3. Does 10 divide -4*t\/12*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 - 43. Suppose f = 4*f + 5*l + x, 0 = 2*f - 3*l + 16. Let u(s) = -s**3 - 7*s**2 + 7*s + 3. Does 11 divide u(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11256871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 804159741 to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-398999392)\/(-7942) - (-6)\/(-38) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - v + 29 = 0, -2*k + 3*v - 1 = -26. Suppose 10*y = -4*y. What is the least common multiple of k and 21\/(-6)*-2 - y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 626 - -22700?\nAnswer: 23526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -a + 5796, 0 = n - 263*a + 262*a - 1936. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221122 (base 3) to base 10\nAnswer: -692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(7) + 0 + sqrt(7) + sqrt(28)\/sqrt(4) + 5)**2*5.\nAnswer: 200*sqrt(7) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*r - 5*x - 9, 0 = 5*r - x - 13. Suppose r*m - 7 = -3. Solve 2*i = -5*s - 2, -4*i + m*s - 4 = s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/2 - 238794178*u - 28511329723347842 = 0. What is u?\nAnswer: -238794178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**2 + 3*a - 3*a)*(-30 + 5 - 11) + (-a - a + 3*a)*(-3*a + 3*a + 2*a) + a**2 - 4*a**2 + 2*a**2 to x + c*a**2 + m*a and give c.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) -1\/5 (b) 4 (c) -2\/17 (d) 1653\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.250089964 - -0.004391.\nAnswer: 2.254480964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -103298168, -103298170, -103298174, -103298180, -103298188, -103298198?\n\"Answer: -x**2 + x - 103298168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -197 + 1377\/7. Let f = -91 + 89.3. Let n = f - -0.7. Which is the second biggest value? (a) r (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 6:37 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5314)\/(-3)*(42\/(-8))\/(138\/(-276)).\nAnswer: 7, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/((-609)\/18)*(-25)\/(825\/1694)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/5)\/h**6*h\/h**0*(h**(-3)\/h)\/h assuming h is positive.\nAnswer: h**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 542 = 4*m + 574, h = -2*m - 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 37*j - 20. Let w be (8\/4)\/((-11)\/33). What is the remainder when b(w) is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 146 - 130. Solve 0 = n*b + 28 + 52 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*o - 38 = -265*o. Calculate the greatest common factor of o and 716.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-36)*2*26\/195. Let n = -1563 + 46993\/30. Let p = n + -18\/5. What is the third biggest value in b, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*n - n - 2*n)*(-4 + 3 - 1)*(2056 - 797 - 398)*(-3 - 2 + 4) in the form t*n + d and give t.\nAnswer: -25830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-21)*9\/3.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 20, 22, 12, -16, -68, -150, -268?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 13. Let l = s + 0. Which is the second biggest value? (a) l (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 874106?\nAnswer: 2, 17, 47, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 22411677*u. Let p(c) = 2*c**2. Determine m(p(w)).\nAnswer: 44823354*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + t**2 - t**2 + t - t**2 - t + (t + 0*t + t)*(-2 + 2*t + 2))*(-1722 - 752*t**2 + 1722).\nAnswer: -3760*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*p**2 - 2*p**2 + 3*p**2)*(7*p**2 - 145*p + 300*p - 139*p) + (-1 - p**2 + 1)*(3*p**2 - 1 + 1) to j*p**4 + f*p**2 + r*p + u + a*p**3 and give j.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71181.06ml to litres.\nAnswer: 71.18106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12762664 + 12762664 - 1479*b**3.\nAnswer: -1479*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**6\/72 + x**4\/24 - x**3\/3 + 2*x. Let z(o) be the second derivative of u(o). Differentiate z(g) wrt g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 21.2, -1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-355 - -353) + 2 + -22 + (0 - -1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**15)\/(w*w**(-14)) assuming w is positive.\nAnswer: 1\/w","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/11 - 7\/55. Let i = -0.03 - 0.37. Which is the closest to r? (a) 5 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16062 is divided by 1239?\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-14) - 4\/14. Suppose -2*s + y*s + 24 = 0. What is s rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2737*d + 517*d + 2221*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**5\/20 - v**4\/2 - v**3 + 3*v**2 + 2*v. Let k be j(-5). Let u(n) = -2*n**2 - k*n + 11*n. Let o(b) = b. Determine u(o(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 6:08 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 + 61*k**2 - 87*k + 4. What is the lowest common multiple of y(29) and 968?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136870861 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 570, 632, 718, 840, 1010?\n\"Answer: 2*p**3 + 48*p + 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/427032 and -57\/212.\nAnswer: 22632696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1097250 rounded to the nearest ten thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*z**6 + 1372692*z**3 - 218250337*z**2 wrt z?\nAnswer: 4560*z**3 + 8236152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1177 - -1185 - (-1 - -3 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 2*t + 2, -4*v - t = 5 - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(-2 + sqrt(3) + -5) + 2) + (((sqrt(96) + sqrt(24))*-2)\/sqrt(8) - (sqrt(768)\/sqrt(4))\/sqrt(4)).\nAnswer: -15*sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcjgi. Give prob of picking 1 c and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/200*((-35)\/28)\/((-2)\/12)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 872, 1823, 3424, 5675?\n\"Answer: 325*g**2 - 24*g + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 12*i - 18. Let w be y(12). Let o(d) = -d - 16. Let r be o(w). Suppose -2*x = -52 - r. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a day in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 6*p**2 - p - 7. Let d be a(-6). Let b = -2 + 2. Let q = b - d. Is q less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, n: 4, t: 6, e: 7}. What is prob of picking 1 e and 2 n?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8770686 is divided by 96381?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 - -0.26. What is the nearest to 1\/2 in o, -0.4, -7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1399 + -1380. Calculate the remainder when 299 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 + w + 20. Let c be s(-5). Let j = -31 - c. Does j = 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-6 + (13 - 8) + -8 + -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282080 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5401*g + 7*g**2 - 2750*g - 2850*g to the form b*g**2 + q + k*g and give k.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = j + 2*j - 3*d, 0 = 3*j + 5*d - 13. Factor -8*v - j*v + 6*v - 5 - 2*v - 5*v**2.\nAnswer: -5*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*q - q + 4 = 0, 9 = w - 5*q. Let x(r) = r**2 - 7*r + 7. Let v be x(5). Let d = -3 - v. Which is the closest to 2\/3? (a) d (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide -13*((-552)\/39 - (-2)\/13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 6*v**2 - v + 6. Let d be u(6). Round d to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m = 0. Let p(b) = b - 6. Calculate p(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 4 + 2)*(z**2 + 4 - 4) + 42*z**2 + 11*z**2 + 12*z**2)*(-32*z + 41 - 41) in the form k*z**3 + h*z**2 + b*z + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*k**4 - 3 + 5*k - 5 + k**3 - 2*k - 3*k**4 - 5*k to the form b*k + l*k**4 + m*k**2 + t*k**3 + w and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/8)\/(1*(1 + 0))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1281 - -6620778.\nAnswer: 6619497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -531537, -531536, -531535, -531534, -531533, -531532?\nAnswer: -531531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*((-65)\/10 + 7). What is the nearest to g in -1\/82, 2\/13, -4?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9437 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -123*o + 30*o + 104853 + 63570. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105872030 and 9624730.\nAnswer: 105872030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204 (base 9) to base 14.\nAnswer: bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 2*a + 2, -10*a + 3*i - 5167 = -5131 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - -0.2. Let v = -1113\/2 - -7787\/14. What is the closest to -2\/15 in v, 2\/5, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2245.\nAnswer: 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/59 (b) -1\/4 (c) 0 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.061 - 25.061. Let h = -25.1 - d. Let j be (-2)\/(-8)*(-16)\/(-42). Which is the second smallest value? (a) h (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(300)*-1 - (6*(sqrt(192)*-2 + -3))**2) + -3.\nAnswer: -27976 - 3466*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 0)\/(-4 - -3). Suppose 0 = -p + 4*y, -2*p = -5*y - k*y. Let h(m) = -m + p*m + 0*m. Let f(b) = 3*b**2. Calculate f(h(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51052183 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8 + 180 + 6*m**4 + 3*m**3 - 3*m**3 + 325 - m**3 wrt m.\nAnswer: 24*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 60376 - 3579624. Round q to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -7*u**3 + 9*u**2 - 26*u + 40. What is m(3)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4\/5 - 1172*v**3\/5 - 38981*v**2\/5 - 328882*v\/5 = 0 for v.\nAnswer: -1138, -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = -5*p - 252. Let o(f) = f**3 + 5*f**2 - 2*f - 6. Let w be o(-5). Solve 0*i + p*i = -w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + -140?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-10))\/(93*(-197)\/(-183210)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 123911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -95 - -155. Suppose -6*p = -p - i. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -289*b**3*g - 72*b**3 - 1 wrt g?\nAnswer: -289*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-65 + 55 + 26 + 0 + 40).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.606 to one dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 10 = 3*g + 8, -2*w - g = -8. Let h(n) = 3*n + 3*n - 6 + 2*n**2 - 2*n**2 + n**2. Let p be h(-8). Solve p = b - w*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -10. What is the units digit of (3\/(-9))\/(f\/(-477))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 403077.7 centuries in millennia?\nAnswer: 40307.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/3 (b) 1\/3 (c) -2\/9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 - 9 - 9*z**4 + 107*z - 107*z + 7*z**4 in the form a*z**4 + c*z**3 + d + j*z + h*z**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/849524 and 173\/15810?\nAnswer: 12742860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -7*a + 124. Let w be g(14). Suppose -s = w - 30. Suppose -40\/3*b**2 + 6*b**s + 0 - 16\/3*b - 4*b**3 = 0. Calculate b.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 42756.87 tonnes?\nAnswer: 42756870000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 73, 118, 159, 196, 229?\n\"Answer: -2*f**2 + 51*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-4 - 4) + 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2 - 6*g + 1. Let k(s) = 559*s**2 - 774*s + 129. Let z(o) = k(o) - 129*p(o). Let q(b) = 119*b + 1. What is q(z(f))?\nAnswer: 5117*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z + 8*z + 32*z + 6*z.\nAnswer: 53*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 7*x = b - 4, 4*b - 3*x - 34 = 0. Calculate the lowest common multiple of 794 and b.\nAnswer: 3970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 11:37 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m*m**(-5))\/m))\/(((m**(-4\/9)*m)\/m)\/m))**(21\/8) assuming m is positive.\nAnswer: m**(133\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44133320 - -12?\nAnswer: -44133304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010100110010 (base 2) to base 13.\nAnswer: -2615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9399.0000006806 - -9399. Round v to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47957 (base 10) to base 12\nAnswer: 23905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -171\/1066?\nAnswer: -171\/1066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -5230 and -5232 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5598 and 30564?\nAnswer: 9505404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -611 - -606. Put -19, p, -16 in ascending order.\nAnswer: -19, -16, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262901137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 1)*(0 + -1). Suppose -2*i + 28 - 8 = k. Let m = i - 0. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 10*q + 4*g, -q = -2*g - 403 + 408 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7247983.88 to the nearest 100000.\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*m - 233, 5*m = v - 0*v - 54. Calculate the remainder when v is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3.2, 2, -5, 1\/6, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 14 = 59. Let i(p) = -p**3 + 9*p**2 + p + 12. List the prime factors of i(z).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*n**2 + 485*n - 59 - 1385*n**3 - 485*n + 64 wrt n.\nAnswer: -8310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 70?\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7, 15, 41, 71?\n\"Answer: 2*i**2 + 16*i - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 11720 - 11289 = 0. Is 116 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-24) - (-20)\/6. Suppose 4*t - 3*t = 2*n - 169995, -2*n + a*t + 169985 = 0. What is n rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82463.\nAnswer: 82463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d - 10. Let s(p) be the first derivative of p**2 + 3*p - 24. Let j(y) = 2*q(y) + 7*s(y). Suppose b = -2*b + 6. Determine j(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 180*r**3 + 2 - r**2 + 0*r**2 + 32*r - 2 - 80*r wrt r.\nAnswer: 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -9. Which is the smallest value? (a) u (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**4 + 3. Let l(q) = -q**4 + 357*q**3 - 221*q - 3. Let i(g) = l(g) + o(g). Find the second derivative of i(z) wrt z.\nAnswer: -24*z**2 + 2142*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 371 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -256 + (-1)\/(1\/(-2)). Let m = 518 + p. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 5*z**2 + 6*z + 6. Let j be f(7). Suppose -123*a - 178 - 479 = 327. Let c = a - j. What is the remainder when c is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 25*q**2 - 145*q + 1. Calculate the remainder when k(-18) is divided by 44.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -475 + 477. Solve 0 = 9*f + 7 + o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (557 - 652 + 583 + 2461)*(8*h**4 - 3*h**4 + 2*h**4).\nAnswer: 20643*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20538 and 33832932?\nAnswer: 101498796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4.2096358 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(468) + (sqrt(468) + 2 - sqrt(468)))**2.\nAnswer: 24*sqrt(13) + 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 27\/2 of a millennium?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/21)\/(19\/(-1197))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 32*g + 922. Let f be t(-30). Put -4, 5, -1, f in increasing order.\nAnswer: f, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86732, 86708, 86646, 86528, 86336, 86052?\nAnswer: 85658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2. Let c(w) be the second derivative of -w**4\/8 - w**2 + 2*w. Let g(q) be the first derivative of c(q). What is g(l(z))?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -40. Let g = 8 - m. What are the prime factors of (-2)\/5*2*g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3360)\/9450 + 14\/(-20) + 1.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 210977290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 0, 10*j + 5*i + 36 = 7*j. What is the hundreds digit of (-78)\/(-24) - 3 - 1377\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1243, -5, -7\/3, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1466195350 + 4.\nAnswer: 1466195354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -37*p - 1. Let h be -1 + (-1 - -4) + -3. Let u be a(h). Let s = 56 - u. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w - 1. Let t(v) = -12*v. Calculate t(f(m)).\nAnswer: 96*m + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7916003 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -259 - 111. Let p = -286 - j. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**2 + 7*u + 4. Let y(v) = v**2 + 2*v + 1. Let r(g) = -2*m(g) + 9*y(g). Let q be r(7). Calculate the highest common divisor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 23*t**2 + 7*t - 7. Let j(b) = 10*b**2 + 3*b - 3. Let u(k) = 7*j(k) - 3*o(k). Let z(c) = 2 - 2 - 10*c + 2 - 5. Determine u(z(g)).\nAnswer: 100*g**2 + 60*g + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) 5 (c) 217590\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**5 - 4*r**2 + 4*r**2)*(7 + 10 - 5)*(-3 + 4 - 2).\nAnswer: 36*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232997 is divided by 187.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-1100)\/2200)*27\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211075327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 50530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -3, 0.1, 1\/5, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-11280)\/5720840)\/((-8)\/34))\/(3\/(-4)).\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*g**3 - 61*g**3 + 124*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.13 + -7.13. Let m = 39 - 42.2. Let n = m + 3.3. Which is the second smallest value? (a) 0.5 (b) u (c) 5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 19729508.\nAnswer: -19729509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 7*p**2 + 8*p + 10. Let j be m(-6). Let h = 4 - j. Let f = 47 + h. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-52)\/14 - (-6)\/(-21). Let r be (12\/f)\/((-2)\/10). Solve 3*z + r = -3*c, 4*z - 4*c = -0*c + 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601884393?\nAnswer: 3, 11, 18238921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -32163610*y. Let k(m) = 5*m. Calculate k(o(z)).\nAnswer: -160818050*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77 and 315.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**6\/120 + c**5\/10 - 5*c**4\/24 + c**3\/2 + 2*c**2. Let b be w(5). Let y = b + 11. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2104 and 9.\nAnswer: 18936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1530909 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 156 - 106. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, 101, 1, -5, 0 in decreasing order.\nAnswer: 101, 1, 0, -5, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2482011760 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/(-4))\/(((-38)\/(532\/(-42)))\/8).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2604 or -2603?\nAnswer: -2603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.12, 27 in descending order.\nAnswer: 27, 2\/7, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 253 + 2457*c + 16*c**2 - 2457*c to a*c**2 + b + n*c and give b.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38427?\nAnswer: 3, 12809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6248*q**2 + 2*q**4 - 6248*q**2 + 12498*q**2 - 70*q + 19*q**3 to the form u + v*q + x*q**3 + k*q**2 + i*q**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13815, 27704, 41593, 55482, 69371?\nAnswer: 83260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719306 is divided by 360.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 1, -6\/13, -5\/2?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29 and -7?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 13 - 13. What is the greatest common factor of 26 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 6.7 (c) 4\/7 (d) 7 (e) -4 (f) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4779 and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.068 + -84.312. Let n = o - -85. What is n rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.7862 rounded to two decimal places?\nAnswer: -10.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14374696 divided by -2758\nAnswer: 5212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*((-28)\/(-35))\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*-16 - 0 - 2. Let h = 72 + y. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -2 (c) -0.01 (d) -1\/282 (e) -0.0396 (f) -3 (g) -3\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 m when three letters picked without replacement from {m: 6, q: 1, b: 2, d: 5, g: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.0178395 microseconds to days.\nAnswer: 0.00000000024326203125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 28. Calculate the remainder when 19 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/708260 and -81\/70?\nAnswer: 708260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24203126 and 1426?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2005 is divided by (-28 - -30) + 330\/((-9)\/(-3)).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -9. Let z = 238 + -280.4. Let o = 23.4 + z. Which is the closest to -0.1? (a) 1\/11 (b) k (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 228 + -354. Let l = a + 138. Solve -5*z - l = 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by 6.\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - h**2 + h**2)*(-3*h + h**2 + 3*h) + (h**4 + 2*h**3 - 2*h**3)*(-2 - 2 + 5).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 4 + 16*b + 0*b**2 - 9*b. Let m be f(8). Is 8 a factor of (-3 - -3) + m + 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 51*x**2 - 3*x + 51.\nAnswer: 3*(x - 17)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -5, 49, 135, 259, 427?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 0*h + h)*(-46 - 21 - 77)*(-2*h - 2*h + 5*h) - 2 + h**2 + 2 to the form u*h + n + m*h**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - (sqrt(70) + -1*(sqrt(70) - (1*sqrt(70) - sqrt(70)))))\/(1*sqrt(8)))\/((((2*sqrt(320) - sqrt(320)) + sqrt(320))\/sqrt(8))\/(2*sqrt(968))).\nAnswer: 11*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1282*b**2 - 6*b + 5. Let w(j) = 1283*j**2 + 6*j - 4. Let u(x) = 4*f(x) + 3*w(x). Let s be u(-6). Round s to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -s + 2*s - 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 100111111000001111011101 (base 2) to base 14\nAnswer: 1561a8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 67*k**2 + 142*k + 281. Determine a(-69).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 50608, 86880, 123152, 159424, 195696, 231968?\n\"Answer: 36272*t + 14336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 5, -m = -3*m - 5*t + 105. Suppose 5*r + 10 - m = 0. Solve -5*i + 2*l + 3*l = -15, -3*i + 4*l = -r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, -12, 2\/5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x - 1. Let v be y(-1). Let u = 9 + v. Suppose -r + a + 5 = 0, 2*a = -3*r - u + 41. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 8:56 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -9884?\nAnswer: -9882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 89195?\nAnswer: 1694705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1078423 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 3. Let l be d(5). Suppose -k + 5*k = k. Solve -f + l*f - 3 = k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.038 (b) -2\/19 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - 36. Let j = -4 - -8. What is the remainder when j is divided by (1\/(-2))\/((-6)\/d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/10 - (-22954)\/805*7. Calculate the greatest common factor of 950 and m.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 + 1 + (1739 - 1819)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161394210 to the nearest integer?\nAnswer: 12704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((8 - (0 - -5)) + 4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 5*d**2 + 50*d + 75. What is the units digit of u(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.236 (b) -2 (c) -5\/3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -34*d**2 + 300*d - 3792. Determine s(12).\nAnswer: -5088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-8 + 1 + -1 + (4 - -8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97.48 - -95. Let z = -14.48 - x. Which is the third smallest value? (a) -2 (b) 3 (c) 2\/9 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*10\/(-6)*(-798)\/(-532)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -91 (b) -4 (c) 1\/5 (d) -8 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 34, 55, 72, 85, 94?\n\"Answer: -2*n**2 + 27*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + -47.6. Let d be ((-1)\/4)\/(4\/(-16)). Which is the smallest value? (a) 4 (b) d (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 926*h - 10266. Calculate f(11).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 172*k - 5669. Let i be v(33). Solve 5*q + 2*l - i = 0, -q = -3*q - 2*l - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/5)\/m)\/(m**0*m)*m*(m*m**(1\/2)\/m)\/m*m*(m*m*m\/(m**(2\/3)*m*m))\/m assuming m is positive.\nAnswer: m**(-29\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*a - 8, 3*a = -3*h + 1 + 2. Let p(q) = 4*q - 7. Let g be p(h). Calculate the common denominator of 67\/33 and g + 692\/120*-1.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-24)\/(-36))\/(16\/(-12))*75\/(-10).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*15714.96.\nAnswer: -31429.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/230358 and -13\/66?\nAnswer: 2533938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - -25 - (-2 - 17).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 471109193 a multiple of 5048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 865245 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2622 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 9*i - 16. Suppose -6*u - l - 25 = -u, u = -4*l + 14. Let h be w(u). Factor -56*b**2 + 83*b + 24*b**h - 23*b + 8.\nAnswer: -4*(b - 2)*(8*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56ac1 (base 15) to base 11\nAnswer: 179243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1284 = -5*n, n - 4*u - 260 = -5*u. Suppose 43*j + 2*t - 98 = 39*j, 5*t + 8 = j. Suppose 19*o = j*o - n. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(228) - sqrt(570)\/sqrt(90))*-4)\/((sqrt(27) - sqrt(108)*4)\/(sqrt(81)*1)).\nAnswer: 44*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-5)*29000\/32480.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78\/8*1000\/150 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.144 (b) 0.02 (c) 9\/5 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 158, 170, 190, 218, 254?\n\"Answer: 4*x**2 + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8.52 times 137703\nAnswer: -1173229.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e8 + -dae4?\nAnswer: -d7eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-420)\/(-12) + 93030\/(-2730).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - 2 + 2)*(-4 - 3261*b - 1 - 4*b**2 + 3234*b).\nAnswer: 8*b**4 + 54*b**3 + 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s - 3. Let v(k) = -26*k - 4. Let z(p) = -5*p - 1. Suppose l + 2 = 0, -3*x = 3*l + l + 17. Let d(h) = x*v(h) + 16*z(h). Calculate -4*d(g) + 5*i(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -142397528 and 0.0636877.\nAnswer: -142397527.9363123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*o**3 + 5*o**2 - 2*o**2 + 305*o**3 + 5449 - 5451 + 2*o to z*o**3 + y + a*o**2 + i*o and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125 + -782. Let g = f - -974. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -1402233224?\nAnswer: -1402233234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*w - 753 - 1216, 4*n = -5*w + 1967. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -7, 0, -3, 8\/1431, 5, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, 3, -3, 5 in increasing order.\nAnswer: -106, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, o: 3, t: 5, e: 7, c: 2, g: 2}. What is prob of sequence ol?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 975 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -821.5974 rounded to the nearest ten?\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/4 - 3\/2. Let g = -15 - -12. Sort o, -5, 5, g in increasing order.\nAnswer: -5, g, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25103 + 14769 - 7892 = 390*y. Solve -26 = 54*c + y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112122 (base 3) to base 5\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -131112434?\nAnswer: -131112440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.6 + 16966693.972.\nAnswer: 16966710.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, j: 1, f: 1, p: 8}. What is prob of picking 1 f and 1 a?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -153.526*5\nAnswer: -767.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1382*u**2 + 322*u.\nAnswer: 2764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 9:21 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-48)*(-72)\/((-18)\/(-3)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34463?\nAnswer: 11, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/360 and 59\/20.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 258 (b) 5 (c) 8 (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(35\/(-3)) - (-213)\/7. Let w be (z\/5)\/3*(-1018)\/(-4). Let x = -256 + w. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**4\/18 - 8*q**3\/27 - q**2\/9 + 4*q\/3 + 48. Let v(s) = 0. Calculate s.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*t**3 + t**4 + 44*t**3 + 5767*t**2 - 2886*t**2 + t + 4 - 2881*t**2 in the form n*t**4 + g*t**3 + i*t**2 + z + v*t and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004875 to 7 dps.\nAnswer: 0.0000488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q + 2. Let f(k) = -4*k + 3. Let l be 16\/(-12)*3\/2. Let p(d) = l*f(d) + 3*g(d). Let n(m) = 31*m. Determine p(n(i)).\nAnswer: -31*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 12*c**2\/5 - 43903664*c\/5 - 14634556\/5 = 0.\nAnswer: -1\/3, 3658639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 69*u**2 - 12*u - 18. Let o be w(2). What is the greatest common factor of o and 234?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t - 14. Let h(m) = -12*m - 35. Let c(w) = 5*d(w) - 2*h(w). Let s(n) be the second derivative of -11*n**4\/4 + n**3\/6 + 3*n. Determine c(s(p)).\nAnswer: 33*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 - 0. Let g = z - 0.19. Let d = 0.7 + g. Which is the nearest to -1\/3? (a) 1 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s**5 + 254*s**4 - 6573*s**2 + 13941616*s wrt s.\nAnswer: 60*s**3 + 3048*s**2 - 13146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5127 + 1.3873. Is 76 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, r: 3, d: 1, a: 3, f: 1, x: 7}. What is prob of sequence erf?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 3)*(-4*w**3 - 4*w**3 + 6*w**3) + 2*w**3 - 3*w**3 - w**3 - 19*w + 2*w**3 + 19*w)*(w**2 + 3*w**2 + w**2).\nAnswer: -20*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*c + 120*q - 247*q + 123*q - 12, c + 26*q - 108 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 6*r + 0*r**2 + 0 - 1\/6*r**3. Let p(u) be the third derivative of -u**5\/12 - u**2. Calculate n(p(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-10))\/2*-4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3 (b) -4 (c) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**4 + 6 - 6 + (3*u**2 + 3*u**2 - 4*u**2)*(4*u - 4*u - u**2) + 0*u**4 - u**4 + 2*u**4.\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z + 62. Calculate the remainder when i(-5) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10042 < 10057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 6\/371965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235323800 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 19*g - 684 = -15*g, 348 = 2*o - 5*g. Let q = 172 - o. Solve -5*c - 17 = -y, q*y - 5*c + 0*c = 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 49242, 98536, 147830, 197124, 246418?\n\"Answer: 49294*i - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**3\/3 + 5*v**2\/2 + 3*v + 4. Let u be c(-5). Suppose -u + 15 = 3*q. Which is greater: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)\/(sqrt(9)*-2))\/(sqrt(36)*3 + sqrt(36) + sqrt(4)))**2 + (sqrt(189)\/sqrt(3) + 2 - (-5*sqrt(252))**2).\nAnswer: -4257441\/676 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 22*g + 1082. Let m be y(-49). Solve -2*n + m*b = -26, -20 = 9*b - 4*b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3833.35 centimeters to millimeters.\nAnswer: 38333.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 60879 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/(-4))\/7*55. Let h = 28 - r. What is the second smallest value in -5, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000213153 to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9*c - 5. Let v(b) = 13*b + 7. Suppose 205*q - 1099 = 48*q. What is q*p(z) + 5*v(z)?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2)*(-17 + -1). Let k(d) = -34*d - 87. Let m(c) = 9*c + 21. Let y(n) = -2*k(n) - 9*m(n). Let w(j) = 13*j - 5*j - j - j + 7. Give r*w(b) + 4*y(b).\nAnswer: 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*s = -1029, 3*s - 5*s - 410 = -2*k. List the prime factors of k.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6240 and 12640?\nAnswer: 492960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -10*p. Let r be g(-1). What is the smallest common multiple of (12\/r)\/(9\/30) and (-46)\/161 + 16\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 12*c + 7. Let l be k(-11). Suppose 0 = y - 3*y + l. Let b = y + -11. Sort b, -5, 4 in decreasing order.\nAnswer: 4, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12\/18*(1 + 149\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/5 (b) -5 (c) -2\/33 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -77232, -78147, -79062, -79977, -80892, -81807?\n\"Answer: -915*z - 76317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 544782 = 267*w + 542379. Suppose -4*x - 2*t = -8, x = -0*x - 2*t + 5. Let n be (-16)\/9 + 1 + x. Which is the second biggest value? (a) n (b) 4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/40 and -37\/192?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 107581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17 * 13.2151\nAnswer: 224.6567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 6. Let x be v(-5). Let h = -71.48 + 70. Let u = h + -0.52. Sort u, -5, x.\nAnswer: -5, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**6\/600 + z**4\/120 - 2*z**2 - 4. Let j(q) be the second derivative of g(q). Let j(c) = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 0.02 (c) 4 (d) -6.324\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2. Let k be d(-1). Solve -l = 5*r - 27, 0*r = k*r - l - 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(83\/1660)\/((-2)\/10)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4672 (base 13) to base 12\nAnswer: -5887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(80)\/sqrt(2)*-3 - sqrt(80)\/(sqrt(2)*2)))\/(-5*(sqrt(1600) + sqrt(16))\/sqrt(2)*6).\nAnswer: -7*sqrt(5)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356283144.\nAnswer: 2, 3, 7, 17, 83, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2490.1 - 2490. Is -833 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 = 4, 5*c - 4*b = 14. Suppose 0 = -9*i + 6*i. Suppose -p + c*o = 6, i*p = 5*p - o + 12. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/3 (b) -4 (c) 18.5238\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-1 + 6 + 0 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x**4))\/x**(4\/5))**(-2\/67)*((x*x**(2\/9))\/x*x**(-1)*x)**(-1\/2) assuming x is positive.\nAnswer: x**(187\/3015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, h: 9}. Give prob of picking 1 v and 3 h.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25674 by 6.\nAnswer: -4279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32.9 + 0.5. What is v rounded to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/40874 bigger than -0.014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5097168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - l - 34 = 0, 4*s - 28 + 8 = -5*l. Let c(d) = 5*d**3 - d**2 + d - 1. Let i be c(2). Let m = i + s. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760 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: Find b, given that -5*b**2\/2 - 32553*b - 13021\/2 = 0.\nAnswer: -13021, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m - 3*m - 5*m. Let o(y) = -2*y + 64. Let x be o(15). Let i(a) = -16 + x - 18 - 8*a**2. Determine i(f(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*s - 264*s = 2*q - 8, -3*q + 16 = q - 5*s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528) + (sqrt(528) + (sqrt(528) - (sqrt(528) + (sqrt(528) - 1*sqrt(528)))) - sqrt(528)))*-6)\/(4*-1*sqrt(432))*2.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 106\/11, -5\/4, -3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -0.15, -1, -5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -26211 at least -26210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 117, 108, 99, 90, 81?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o. Let c(a) = -14*a + 2*a**2 - a - 90 + 16*a - 13*a. Let p(t) = -2*t**2 + 9*t + 91. Let j(x) = 3*c(x) + 4*p(x). Give k(j(n)).\nAnswer: 2*n**2 - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3936329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9*q**2 - 116*q + 100. Let u(j) = -6*j**2 + 77*j - 62. Give -5*k(s) - 8*u(s).\nAnswer: 3*s**2 - 36*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20448\/(-426)*(8\/(-6))\/(-2).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*p**6 + 6*p**2 - 15*p**2 + 6*p**2 wrt p.\nAnswer: 720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 > 151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 5, 4, 1, 3 in descending order.\nAnswer: 51, 5, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 3. Let y = q + 7. Suppose 16 - 4 = 3*h. Sort y, -5, h in descending order.\nAnswer: h, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*b + 80. Let q = b - -23. Calculate the highest common factor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-14)\/y*y*y\/(y\/y**(2\/13)))\/(y*y*y**(-1\/4)*y**(-9)))**(-11\/2) assuming y is positive.\nAnswer: y**(3773\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8078092 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4650\/750)\/((-13)\/65) + -33?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75.3 + 76.3. Sort -2\/13, 7, -12, y.\nAnswer: -12, -2\/13, y, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/210502344 and -53\/28?\nAnswer: 1473516408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*o - k + 156, -4*o - k = -321. Suppose -5*w - 256 + o = 0. What is w rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265 = 416*o - 1097 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*s**5 - 7*s**3 - 550*s - 1 wrt s.\nAnswer: 580*s**3 - 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120046393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04514291506 rounded to four dps?\nAnswer: 0.0451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -278 divided by 26\nAnswer: -139\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 113673143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/21 - 2\/7. Suppose 9 = -3*b - x. What are the prime factors of b\/4*(-4)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2 = -y + 9, -4*y - 16 = l. Suppose -8 + 0 = -l*f. Let k = -4 + f. Put k, 5, 1 in decreasing order.\nAnswer: 5, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 203*k**4 - 3*k**3 - 3661 wrt k.\nAnswer: 812*k**3 - 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + f + 4. Let r be b(0). Let z(o) = 54*o**2 + 20*o + 20. Let g(v) = -17*v**2 - 6*v - 6. Let t(k) = -16*g(k) - 5*z(k). Determine t(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*(-3 + -3 + (2 + 2*sqrt(99) + sqrt(99) - sqrt(99) - -2*(sqrt(99) + -2 + sqrt(99)))) + 1)**2.\nAnswer: -7020*sqrt(11) + 90619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11838 divided by -6.\nAnswer: 1973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2302302 + -310?\nAnswer: -2303212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.07 + 0.23. Let g = -0.3 - -1.3. Let f = g - n. Which is the nearest to 0.1? (a) f (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -70*g - 836. Let z be t(-12). Let o(s) be the third derivative of 22*s**2 + 5\/6*s**3 + 0*s - 1\/12*s**5 + 5\/12*s**z + 0 - 1\/12*s**6. Factor o(v).\nAnswer: -5*(v - 1)*(v + 1)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33159 + -13317. Let a = 6442 - j. Round a to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33970 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 13622 + 3595. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11993536 by 44752.\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 - 42*v - 23. Let j(w) = w + 2. Let x(o) = -d(o) - 5*j(o). Let i be x(-18). Which is the biggest value? (a) 53 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -92, -13, 4 in ascending order.\nAnswer: -92, -13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/428 in 30\/11, 4, -44?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 25*q + 16 + 11*q + 12.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**7*y))\/y**6)\/((y*(y\/((y*y**1)\/y)*y)\/y)\/y**(3\/4)) assuming y is positive.\nAnswer: y**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 76 + 24 + 22 - b.\nAnswer: -b - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 251*s - 7*s + 1759*s + 150225 for s.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119\/17*5\/5*-1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12468.\nAnswer: 2, 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*h - 17*h + 14*h - 16*h as c*h + b and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/3388 and 37\/3695692.\nAnswer: 40652612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 - 5776*s**2.\nAnswer: -4*s**2*(s + 1444)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - 12 = 0, k - 2*k = -4*f - 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-6)\/9)\/((-48)\/(-9) - 4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114635651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2, -2, 1, 5.\nAnswer: -11, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 429 and 1599?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 - 34*y**2 + 133*y - 3. Let m be w(6). Solve 3*p - u - 14 = 0, m*u + 6 = -7*p + 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -3\/22, -2, -7, 5 in decreasing order.\nAnswer: 14, 5, -3\/22, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 10*w**3 - 25*w**2 + 850*w - 2590. Calculate c(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 275*j**3 + 259*j**2 - 580*j + 18. Let v(z) = -137*z**3 - 129*z**2 + 290*z - 8. Let k(l) = -4*d(l) - 7*v(l). Factor k(o).\nAnswer: -(o - 1)*(o + 2)*(141*o - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i**2 - 6*i. Let q(a) = -a**2 + a. Let c(g) = 5*q(g) + t(g). Let h(s) = 8*s**2 + 2*s. Calculate -2*c(p) - h(p).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {s: 2, p: 1, e: 2, v: 2, n: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 3\/8 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -257644 or -257642?\nAnswer: -257644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/9, 36, -10, -1\/12, 47\/5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-31 - -27 - 10) + (-6 - 3)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2 + 5 = y, -2*y + 24 = 4*o. Calculate the remainder when 3761 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omz. What is prob of picking 1 o and 1 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 16 = -5*w. Let k(u) = -12*u - 24*u - 2*u + 6*u + w. Let j be k(-2). Calculate the greatest common divisor of j and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 8 + 9 = 0. Suppose 0 = -4*r + r - 2*u, 2*r = -u + y. Let f = -0.04 + -0.46. Sort f, 0.04, r in decreasing order.\nAnswer: r, 0.04, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**4 - 285*f**3 + 2160*f**2 - 5060*f + 3840 = 0. What is f?\nAnswer: -64, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, w: 8}. What is prob of picking 2 w?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2197*x - 83186. Calculate c(38).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403623 = -4*n + 230417. What is n rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 377 divide 67070168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -3 - (-22 + 38 - 18) - 33.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -i + 5*d, 0 = -3*i + 6*i + 4*d - 18. List the prime factors of i\/(-8 + -4) + (-6859)\/(-6).\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000093 rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -14*a**4 - 4*a + 6. Let h(u) = -43*u**4 - 11*u + 18. Let q(z) = -4*h(z) + 11*w(z). Differentiate q(f) wrt f.\nAnswer: 72*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 4*c - 7. Let w be a(5). Let k be (1 - (-1)\/w)*2. Let l be (4*k)\/((-2)\/(-1)). Solve -l*m = -3*m + 3*j - 2, -3 = -3*j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 4*p + 17. Suppose 2*s - 6 = -0. Suppose -k = s*r - 332, 2*k - 62 + 294 = 2*r. What is the highest common divisor of r and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3244412 (base 6) to base 13.\nAnswer: -587c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 743, 2474, 5843, 11396, 19679, 31238, 46619?\nAnswer: 66368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*c = -54*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*-3.8.\nAnswer: -117.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/14)\/((-24)\/(-112)). Let x be (u\/(-9))\/(-2) + (-11)\/(-3). Solve 0*s - 7 = -x*s + n, 0 = -5*s + n + 11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 141893.05.\nAnswer: -141891.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-81)\/12)\/(-3) + (-7)\/28. Solve 0 = -7*k + w*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8063*n**3 - 580 + 5584 - 10735*n**3 wrt n.\nAnswer: -8016*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - 117. Let t = 111 + y. Is 35 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (-2*sqrt(288) + 5)*1)*-1)**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 10*c**2 + 21*c - 1. Let p be w(5). Let q be 25\/p + 2\/6. What is the second biggest value in -9\/5, -1\/7, q, 0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 19, 4.\nAnswer: -38, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 5756066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -6180165 + 1880925. Let j = -1434960 - k. Suppose -j = -3*l - 234660. Round l to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Let z be (-27)\/(-6)*38\/(-57). Let a = 0.04 + -4.04. What is the nearest to 2\/3 in z, a, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/(-28) + 1 - (43 + -38).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from bvvetvvvzvesveeevvzv?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3) - (-7)\/(-59 + -4). Let p = 45 + -677\/15. Suppose c - 9 = -3*g, -4*g + 9 = c - 4. What is the nearest to p in r, -2\/11, g?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.15 from -17.1.\nAnswer: -16.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -31*x. Let m(u) = 11752*u. What is 5*i(w) + m(w)?\nAnswer: 11597*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -11*k**2 - 113*k - 261. Let t(l) = 4*l**2 + 38*l + 92. Let x(n) = 6*r(n) + 17*t(n). Calculate x(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -51. Let l be 9*4\/10 - 696\/1160. Let z(u) = -u - 50. What is l*k(x) - 2*z(x)?\nAnswer: 2*x - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - t - 32, -6 + 26 = k - 4*t. Let l = -178\/5 + k. Let j = 7.2 + -14.2. What is the nearest to 0.1 in l, j, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and 3136.\nAnswer: -376.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19 and 17117.\nAnswer: 17098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*i = -11, 4*i - 3 - 8 = 3*m. Put m, 1\/4, -5, 51 in decreasing order.\nAnswer: 51, 1\/4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o + 4. Let s(c) = 97*c - 47*c + 8 - 47*c. Let h(v) = -v - 3. Let j(n) = 11*h(n) + 4*s(n). Determine -4*a(d) - 14*j(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*h + 40 = -50*h. Let j(p) = -p**3 + 9*p**2 + 12*p - 21. Let u be j(h). Is ((30\/6)\/(-15))\/(u\/951) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 0. Let l(w) = 10*w**3 - 47*w**2 - w - 4. Let t(q) = -13*q**3 + 63*q**2 + q + 5. Let u(z) = -4*l(z) - 3*t(z). Determine u(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4357, -26044, -62205, -112840, -177949?\nAnswer: -257532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byuuuuuyuubuuuwuuw. What is prob of sequence bb?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -2*b - 7 + 15, 3*b - 25 = -5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/28 and -33\/536.\nAnswer: 3752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 10:58 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 - 1 + t**2 - 8 with respect to t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 + 59*y - 103. Give f(19).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-95247)\/36762*33\/(-18). What is u in 1\/4*u**4 - 1\/4*u**2 + 19\/4*u + 0 - y*u**3 = 0?\nAnswer: -1, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*x + 34*x + 3*x**4 + 2*x**4 wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**3 - n**2 - 5*n - 2. What is the tens digit of j(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - 47. Suppose 7 - 17 = -5*s. Let t = -39 + 43. Solve -3*n - z*p = 2*n + 9, -s*n = -t*p - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10*(-2)\/(-4)*1. Let f be 9\/(-6)*8\/(-6). Let h = q - f. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 195*n**2 + 192*n - 752. Determine z(-196).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141426599 + 490506001 = -8*q. Let f = 124891575 + q. What is f rounded to the nearest 1000000?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0. Let v = -3621 - -3628. Sort -2, v, n in increasing order.\nAnswer: -2, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79669\/139335 + -7\/19905. Determine l, given that -2\/7*l**4 + 2*l - j - 18\/7*l**2 + 10\/7*l**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10201001 (base 3) to base 13.\nAnswer: 12ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + 6*n - 44. List the prime factors of f(-15).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 97?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1478761 by 431.\nAnswer: -3431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28016.562 microseconds in minutes?\nAnswer: 0.0004669427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 947197*d*f**3 + d*f**2*v*w + 14*d*f**2*w - 2*d*f*w + 173*d*f + 9*d*v*w + 2*f*v*w - 167*f*v + 2*v*w - v wrt f?\nAnswer: 5683182*d*f + 2*d*v*w + 28*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j**2 - 2*j)*(j**2 + 0 + 0)*(-3*j + 2 - 2).\nAnswer: 3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81831*o**5 + 39568*o wrt o?\nAnswer: -1636620*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -257 + 173. List the prime factors of ((-7)\/(x\/639))\/((-9)\/(-108)).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 622 * 0.12257\nAnswer: 76.23854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 to the power of 1\/9, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**5\/8 + 465*q**4\/8 - 711*q**3\/4 + 3*q**2\/2 + 237*q = 0.\nAnswer: -158, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 108158698+6\nAnswer: 108158704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 15, d: 5}. What is prob of picking 4 w?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 3*y - 96. Suppose -5*a + 324 - y = 0. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 2. Suppose -c - 727 = 4*t, t - 3*t - 5*c - 341 = 0. Let i = t + 4573\/25. Which is greater: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k + 2. Let p(o) = -o**2 + 9*o. Let s be p(11). Let g(h) = 7*h - 8. Let y(m) = s*a(m) - 6*g(m). Calculate y(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.023 - -45.977. Let x = o - 46.2. Which is the third smallest value? (a) 5 (b) x (c) 1 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 11:15 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, x: 4, a: 3, r: 1}. Give prob of picking 1 a, 1 r, and 2 x.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600476.\nAnswer: 2, 19, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-198)\/(-30) + -7)\/(95366\/(-95365) + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7, -73, -127, -163, -175, -157, -103, -7?\n\"Answer: z**3 - 73*z + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/(-4)*228\/247. Solve -p*u + 3 = -3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 12*b**2 + 14*b + 3. Let z be l(-10). Let o(q) = z - q - 63. Let t(g) = -4*g - 4*g**2 + 4*g. Calculate t(o(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5611 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2271561?\nAnswer: 3, 43, 17609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 85113534 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 12) to base 15\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/21526 + -1657507\/107630. Which is bigger: -0.026 or w?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 9*f**2 + 10*f. Let k be a(10). Let x be 0 + -2 - 8\/(-2). Sort k, x, 3.\nAnswer: k, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/13 - 3864\/(-104). Suppose 41*l = a*l + 400. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**5\/20 - j**4\/6 - j**3\/3 + 211*j**2\/2 - 36*j + 20. Let o(m) be the first derivative of r(m). Is o(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2206 - 2206 + 8*r. Let q(d) = -7*d**2. Give q(f(w)).\nAnswer: -448*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -211*v**3 + v. Let j be t(-1). Let o be 6 + (9\/(-9) - -37). What is the greatest common divisor of j and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94547329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*t + 28 + 7, -4*f = -12. Suppose t*g - 4*g - 1628 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2 + 4*g - 8. Determine o(4).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 2*c + 3. Let w be j(-3). Let d be (w + 4)*(1 + 0). Let l be (3\/8)\/((-9)\/d). What is the nearest to -1\/2 in l, -4, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3121704384 + -6377711549. Let q = w + 3256007130.99999994. Let a = q - -34. What is a rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from crrruccwwccrcuruuc?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -324986.5 rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55 + -2604614?\nAnswer: -2604526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472 = 117*r + r. Which is the nearest to -44? (a) -4\/11 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -538478492 - -0.09.\nAnswer: -538478491.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 45473046 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 10. Let v be 12\/((-100)\/(-12) - 1). Let h = v + -119\/66. Which is the second biggest value? (a) -0.2 (b) h (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 337 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 227768\/177 or 1288?\nAnswer: 227768\/177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -412 - -423. What is the biggest value in 0.2, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + h**2 + 6*h - 3. Let j be s(7). Let o = j + -431. Solve -5*y + 7 = -3*q - 8, o = -5*q - 4*y + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 79 = -5*v - j, 2*j - 34 = -2*v. Suppose -5*i = v, -h - h = -5*i - 101. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -13. Suppose n = p + 2, 3*f - p - 1139999 = 0. What is f rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j + 0*j + 2*j)*(-2 + 4 - 3)*(3 - 2 + 2) in the form b + h*j and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**4 + 0*q**4 + q**4 - q**2)*(-7458*q + 2659*q - 4682*q).\nAnswer: -9481*q**5 + 9481*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -42, -4, 70, 192, 374, 628, 966?\nAnswer: 1400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 529823741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3213072 weeks to seconds.\nAnswer: 194326.59456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4 - 1088*a**3 + 106889*a**2 + 675218*a + 567240 = 0.\nAnswer: -5, -1, 116, 978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**5\/5 + 16*n**4\/3 + 202*n**3\/3 + 168*n**2 - 6*n + 232. Factor h(l).\nAnswer: -4*(l - 21)*(l + 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/273 - -449\/12012. Which is bigger: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3714 divided by -1857?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -7*r**3\/3 - 4*r. Let z(p) = 2 - 2 + 5*p + p + 0*p. Determine b(z(l)).\nAnswer: -84*l","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3 = -7. Let p(o) = o + 3. Give p(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l + 1\/48*l**4 - 1\/2*l**2 + 0 + 1\/8*l**3. Factor i(x).\nAnswer: (x - 1)*(x + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3379.64 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9167 - 6221171.5?\nAnswer: -6221172.4167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, u: 1, i: 3, s: 5, a: 1}. What is prob of picking 2 s and 1 b?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47685142?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320953?\nAnswer: 320953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1342 + -9391\/7. Let u be (0 - 1)*(-20)\/5. Which is the second biggest value? (a) s (b) 6 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 - 43. Let o(z) = 4*z. Calculate o(w(v)).\nAnswer: -8*v**2 - 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -18*i - 29 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4881 is divided by 78.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-1*(-2 - (-48)\/20)). Let c be b\/((6 + -3)\/6). Let x be -4 - 3\/(15\/c). What is the second biggest value in -4, x, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1\/11))\/r*r*r*r\/(r*r\/(r**(-2\/41)\/r))*r)\/(((r**(-1)*r)\/r)\/r)**13 assuming r is positive.\nAnswer: r**(12196\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.88 + -0.12. Let m = 8 + h. What is the nearest to -2\/3 in 1\/8, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5204 + 10*q - 36*q + 5257)*(0 + 0 + 2) to h + a*q and give h.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -2\/5, -0.02, -2\/17?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*b = 4. Find the third derivative of -10*p**6 + 7*p**6 - 2*p**b - 9*p**2 wrt p.\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*t + t + 2*t - t + 5*t - 5*t + (3*t - 4*t - 2*t)*(-5 + 3 - 1) + (3 - 4 - 4)*(t + 4 - 4).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 (base 12) in base 2?\nAnswer: 11101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 171792 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*m - 178, 2*y = -4*m + 2*m + 92. Let u(z) = -3*z - z + 6 + z + 2*z. Let r be u(-9). What is the greatest common factor of r and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lld when three letters picked without replacement from {l: 2, p: 9, d: 1, t: 1}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y + 46. Let t be g(-14). Let u be (8\/t*2)\/(2\/(-24)). Suppose u*v = -7 + 39. What is the lowest common multiple of 6 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134350357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 2 - (99 + -97)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 14 = p, -4*k + 12 - 2 = -2*p. What is the first derivative of -16 + 21 + 9*g**3 + 5*g**k wrt g?\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t = -3*d + 7, -3*d = 4*t + 18 - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1741600, 1741660, 1741720?\nAnswer: 1741780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 u, and 1 t when three letters picked without replacement from tzuutmozzumoootmu.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 18.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f + f)*(0*f**2 - f**2 + 3*f**2 + (1 + 2 - 1)*(-2*f + 2*f + 2*f**2) - 19*f**2 + 18*f**2 + 20*f**2) - f**3 + f**3 + 3*f**3.\nAnswer: -22*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34034 - 1?\nAnswer: 34033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 149 + 541 = 0. What is the highest common factor of g and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138 + -148. Which is the nearest to -1? (a) t (b) -0.4 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12475 to 3 dps.\nAnswer: 0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -57671036\/9, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 14*g**2 - 27*g - 5. Let b be m(-12). Suppose -5*o = 2*x - b, 0 = -2*o - 3*x - 21 + 944. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1310052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 20*o**2 + 93*o - 19. Suppose -4*g + 3*t = -499 + 516, -2*t = -g + 2. Determine l(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-3)\/1)\/((-1854)\/616 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 840796 = 112*k - 141*k + 73*k. Is k a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f. Let b(q) = 62*q. What is g(b(d))?\nAnswer: 62*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2, 5, 34, 101, 218?\n\"Answer: 2*k**3 + k**2 - 14*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/3 and -77\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8477986 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1689 + 1709. Solve -u = 14*d + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 621*x**2 + 63*x - 1246*x**2 + 622*x**2 - 60 = 0. What is x?\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6748?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -148 - ((-70)\/(-42) - (-8)\/6). Let g = f + 156. Solve g*y + 2*s + 3 = -0, -s - 3 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 13*h - 7. Let i be m(3). Suppose -i*g + 100 = -33*g. Let f be (-1 - 416\/g) + -3. Which is smaller: 2\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*d - 3*b, d + 4*b = b + 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 2\/674543289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 5. Let v = 5 - -3. Let r be f(v). Suppose -5*g + r = 2*k, 7*k - 48 = -4*g + 3*k. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1815 and 4125?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -637427 and -0.27?\nAnswer: 172105.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -39 + 49 - 79?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -4. Suppose 3*p + 6*o - 10*o = 154, -4*p = o - 199. Suppose q - 4*x + 9*x = p, 5*q = -3*x + 250. What is the least common multiple of r and q?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104 - -104.3. Which is the second biggest value? (a) 2\/15 (b) 1.7 (c) 4 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 2*k**2 + 7*k + 1. Suppose -33 = -6*g - 9. Does 21 divide l(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 31566856.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 2042*u - 12104. Give o(6).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 - -0.04. Let z = b + -0.0769. What is z rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165038 divided by 3.\nAnswer: 165038\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/2 and -25\/10796228?\nAnswer: 10796228","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -591, -2367, -5327, -9471, -14799?\n\"Answer: -592*h**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367710?\nAnswer: 2, 3, 5, 7, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-117)\/(-18))\/(-13)*-134)\/((-4)\/(-24)) is divided by 191.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4376647 is divided by 729440?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times 0.04725473?\nAnswer: 0.042529257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1089)*-2)\/(sqrt(750)\/sqrt(10)))**2.\nAnswer: 1452\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from {q: 4, z: 1, n: 1, d: 5, a: 5}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -26 (b) -0.5 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/27 + 16\/27. Suppose l + 3*l = 12. Suppose l*u + 1 = 4. Which is greater: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 539006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*k + 75 = -51*k. Which is greater: -24 or k?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -4, -33 in descending order.\nAnswer: 6, 1, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3441?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 0 - 9 - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3630292 to the power of 1\/2, to the nearest integer?\nAnswer: 1905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.6 (b) -5 (c) -188.75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 442787604 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*b - 723 + 723 + b - b + b + (2 + 3 - 4)*(3*b - 4*b + 3*b) + 2 - 2 + b + b - 2*b + 3*b - b + 2 - 2 + b + 0 + 0)*(-2 + 5*b - 5*b - 4*b**2).\nAnswer: 28*b**3 + 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 42 - 1059 = -d, 2*g - 5505 = -5*d. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 0 + 0*s**2 - 7\/75*s**6 + 0*s**4 + 0*s**3 - 1\/25*s**5 + 31*s. Let d(j) = 0. What is j?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4630074*s**3 + 675438.\nAnswer: -13890222*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + z + 0*z)*(-1 - 2 + 2) + 2*z + 0 + 0 - z + 2*z + z - 2*z - 4*z + 5*z + 6*z + 34 - 12 - 24 to b + k*z and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*-2 + 143\/26. Let d = 7\/6 + -2\/3. Factor -3\/2*g - d - z*g**2 - 1\/2*g**3.\nAnswer: -(g + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110885, -221772, -332655, -443534, -554409, -665280?\nAnswer: -776147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -65520332?\nAnswer: 65520336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 - 4*u - 1. Give v(4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - -18. Let l be 4\/(40\/66) + (-33)\/j. Solve l = -4*q + q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8824.363 to the nearest 100.\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 1 - 10 = 5*w, -5*w - 1 = 2*p. Is 10 a factor of p\/6 - 89\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, b: 3, a: 4, f: 1, u: 8}. What is prob of sequence wf?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 8. Let g = 0 - -77. Suppose 12*f - 23*f + g = 0. Give j(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 311874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*q - 2*u - u, -4*u + 16 = -2*q. Solve -2*b = -3*c - 2*c + 4, -5*b + 19 = q*c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okokokooooo. What is prob of picking 3 k?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 320. Let d(v) = v + 322. Determine -3*a(z) + 2*d(z).\nAnswer: -z - 316","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1383619714.\nAnswer: 2, 31, 3847, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8747057, -17494133, -26241229, -34988345, -43735481, -52482637?\n\"Answer: -10*w**2 - 8747046*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - 42. Find the second derivative of 67*p**3 - m*p**2 - 10*p**2 - 1 - 31*p + 13*p**2 + 4*p**3 + 14*p**3 wrt p.\nAnswer: 510*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (19\/5)\/(2 - (-9)\/(-5)). Let y(g) = -5*g + 62. Let c be y(q). What are the prime factors of (-3954)\/c + (-2)\/(-11)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -2. Let v = c + -1.3. Let r = -0.4 - v. Is -1 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n - n**2 + 5*n**2 + 11*n**2 - 9. Let f be y(8). Suppose -5*g + f = 3*v, 5*v + 965 - 217 = 4*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 0.055 (b) 0.4 (c) 6 (d) 0.024 (e) 1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/70*15\/5\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m - 65 + 64 + 50*m as q*m + c and give q.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -289262043218586.\nAnswer: -289262043218586.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -5118 not equal to -5118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146101, -146097, -146061, -145975, -145821, -145581?\nAnswer: -145237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.872 and 0.92.\nAnswer: -0.80224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -110*i**2 - 2*i - 20. Let j be o(-5). What is j rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 11:20 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2)*r**(-6)*r**(-3)*r*r*r\/((((r*r**(-3)\/r)\/r)\/r*r)\/r*r*r*r))\/((r**(2\/3)\/r)**(-21)\/(r**(-1\/3)*r**(-2\/17)\/r)) assuming r is positive.\nAnswer: r**(-686\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 4*k**2 - k + 9. Let n be f(4). Calculate the greatest common divisor of n and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 10:26 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44088 and 34?\nAnswer: 749496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*c - 30*c + 350*c - 21*c - 252*c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r**2 + 2*r + 3. Let n(v) = 20*v**2 + 2*v + 5. Let u(k) = 4*k**2 + 1. Let q(z) = -n(z) + 3*u(z). Calculate -6*q(g) - 7*x(g).\nAnswer: -g**2 - 2*g - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17703 + -17700. What is the closest to 1 in -1\/4, b, 25?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 489\/((-7)\/(84\/(-9))). Suppose w*n - 88 = 648*n. Let s = -28 - -46. What is the least common multiple of s and n?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19, -33, -71, -95?\n\"Answer: 7*h**2 - 73*h + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110210110 - -221?\nAnswer: 110211101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbsz when four letters picked without replacement from {s: 4, b: 3, l: 1, z: 10}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-15)\/(-10))\/(-2 - (-10)\/4). Suppose 3*d - 4*b = -7*b + 972, 334 = d + y*b. What is the greatest common factor of d and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05 - 0.09. Let n = b + 1.54. Sort -3\/7, -3, n in descending order.\nAnswer: n, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((84\/(-30))\/(-7)*(-45)\/(-504))\/1.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c - 3*y = -79777, -c + 19933 = 3*y. List the prime factors of c.\nAnswer: 2, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 2 + 15 + -2 - -24?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 44951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 5. Let r = 4 - y. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 36\/(-10)*(19 - (-347139)\/(-26)). Round s to the nearest 100.\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/15 (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 23309*v + 139855. Determine c(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 451*y**3 - y**2 - 83 - 333*y**3 + 378*y**3 wrt y?\nAnswer: 2976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-6 + 3 - 12) - (0 + -3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnrarnrndnngrdxdna. What is prob of picking 1 g and 1 a?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 21. Let l = -3 + m. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -5*x**7\/168 + x**6\/72 + 2*x**5\/15 + x**4\/6 - x**3\/6 - 2*x**2. Let p(t) be the first derivative of b(t). Factor p(y).\nAnswer: -(y - 1)*(5*y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 48\/5 of a centimeter?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/62 and -15\/7396.\nAnswer: 229276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -14*j**3\/3 + 69. Let h(p) = 6*p**2. What is h(c(t))?\nAnswer: 1176*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + sqrt(165)\/sqrt(3)*5)\/(1*sqrt(66)\/sqrt(6)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 10 + 5 - 25*s**3 - 2*s + 19 as a + q*s**3 + v*s**2 + j*s and give q.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3 - 20*g**2 - 26*g + 48 = 0. Calculate g.\nAnswer: -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -6*w - 16*w + 466026. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 10*z**2 + 51*z + 81. Let f be m(-6). Solve -32*w + 5*w = f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 e, and 1 g when three letters picked without replacement from {g: 1, e: 1, k: 1, q: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -3. Suppose -5*t + d*q + 18 = 0, 2*t + 3*q + 11 = 3. What is the units digit of (284\/(-6)*-3)\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-328)\/246)\/((-4)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 + 5*k**5 + 13*k**2 + 7*k**3 - 3*k**2 - 12*k**3 - 6*k**4.\nAnswer: 5*k**2*(k - 2)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 8. Let s(x) = -3. Suppose -4*z - 16 = 4*p, -4*p - 4 = -2*p + 3*z. Let o(h) = p*s(h) + 3*k(h). Let v(m) = m - m - m + 0. Give v(o(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 638 = 2*b + 9*b. What is the derivative of 73*p - b*p + 69 - 49*p wrt p?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -23. Let u = -6 - w. Calculate the highest common divisor of u and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1353130*n**6 + 3*n**5 - 4*n**2 + 5801*n - 282?\nAnswer: -162375600*n**3 + 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53736 and 210483912.\nAnswer: 210483912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) 0.01 (c) 0.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360451413 and 2710161?\nAnswer: 360451413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s**4 + 5*s**4 - s**4 + (3*s + s - 2*s)*(s**3 + s**3 + 0*s**3) + (2*s**3 - 2*s**3 - 2*s**3)*(-s - 2*s + 2*s))*(-2*s - s + 5*s).\nAnswer: 36*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -14039935.\nAnswer: -8\/14039935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 207\/(-46) - (-439)\/(-46)) + 7?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7*h*h**(5\/6))\/(h*h**2*h*h*h*h**(-2\/37)*h) assuming h is positive.\nAnswer: h**(419\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 6*z**2 + 7*z + 20. Give a(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/(400\/625)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o - 429. Let u(t) = -399*t - 5. Calculate u(v(f)).\nAnswer: 1197*f + 171166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52951.\nAnswer: 52951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -11001032?\nAnswer: 11001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8*d + 2. Let v be l(-3). Let k = -26 + v. What is the second derivative of 15*n**5 + k*n - 10*n**5 - 2*n wrt n?\nAnswer: 100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -48 + (-4 - (5 + 16))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -178283, -1426170, -4813307, -11409320, -22283835, -38506478, -61146875, -91274652?\n\"Answer: -178271*j**3 + j**2 + 7*j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/11 + 1424*w\/11 - 253472\/11.\nAnswer: -2*(w - 356)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvc when three letters picked without replacement from cyvvy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14047+-2086.3\nAnswer: 11960.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - -74) - (32 + -34 + (-29 - -39))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 + 0)*(0 + 0 + l) - 6*l + 5*l + 9*l)*(-3 + 5 - 3)*(5*l - l - 5*l).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 3*b + 57, -11*v + 46 = -9*v + 4*b. Suppose -v*u + 7536 = u. What are the prime factors of u?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.08 - 0.1. Let n = -82211\/8 + 10294. Let j = 431\/24 - n. Put 2\/11, z, j in ascending order.\nAnswer: z, 2\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4895*j**3 - 28*j**2 + 55*j - 9. Is y(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 150 - 138. Solve 7*v + l = 40 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 364 + -731\/2. What is the closest to -1\/3 in 0.1, s, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53339 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 85 + 2437?\nAnswer: 2533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (130\/(-1040))\/(2\/4 + -1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8436 and 3306468.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 7 - 14 - (-14 - (-14 + -9) - -49)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = m, t - 4*t - 24 = 5*m. Are t and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.4 - 9. What is the nearest to 0 in m, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 93 = 5*v + 18, -3*o = -4*v - 89. Let d = 13 + v. Let h = -7 - d. Solve h*u + j = -2*u - 19, 3*j + 3 = 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(4)*-5 + sqrt(270)*-1)\/(-6*(2*sqrt(50)\/sqrt(5) - sqrt(10))).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 4. Let i(m) = -m**2 - m. Let a be i(-3). Let w be q(a). Solve 0*l - w*l = -8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993195 equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*a - 662 = 0, -4*p + 7*a + 884 = 3*a. What is the greatest common factor of 20 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 15*i + 17. Let s be v(13). Let a(q) = -308*q + 39. Is a(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7484266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 3 - (-4 - -18)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -0.12, -8\/5, -0.2, 0?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324 and 53076.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*p + 63 = 6*x, 0 = p - 1. Suppose 0*c + c + 2*n = -x, -4*c - 4*n - 72 = 0. Let v = c + 29. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 76583*c = 76580*c - 12, -4*c + 1427 = 159*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2802783 and 10.\nAnswer: 28027830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i - 1. Let j be r(-2). Suppose -25 = -j*p, 0*n + 4*p + 148 = 2*n. Suppose n = 9*x - 6*x. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) - (-5 + sqrt(891) + -1))**2 - sqrt(891) - sqrt(891))*4.\nAnswer: -72*sqrt(11) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 100 = -8*f. Suppose -7*c - f = 38. Let w(n) = n - 8. Give w(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -31 and -275312842.9.\nAnswer: -275312873.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 85595.59 centimeters in micrometers?\nAnswer: 855955900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 14 + 0 = 2*z, 2*z = 5*y + 26 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 1\/69, 0.6.\nAnswer: -1\/5, 1\/69, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + 222*r**3 - 268*r**3 + 0*r**2 as g*r**2 + z + u*r + l*r**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190, 192, 196, 202?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 + 56 + r**2 + 146 - 3*r - 16 + r**3 - 3*r**3 as d*r**2 + p*r**3 + t*r + b and give b.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 27 + -15 + -45.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 (base 14) in base 13?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12110 + -1010?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 3 - 3)*(0 - 2 + 4)*(3 + 1 - 2)*(-19 - 10 + 28).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3943462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10448280 divided by -1741380.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = u - 4*l, 8*l - 5*l = -9 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-2))\/(3\/(-4)). Suppose x*z - 5*a = 3*z - 1699985, 0 = 5*z + a - 8499997. Round z to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/286*-13)\/(30\/140)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 129001, 28, 30 in increasing order.\nAnswer: 28, 30, 129001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 5*k**2 + 4*k + 7. Let v be d(6). Let h = 3.008 - 0.008. What is the second smallest value in 1, h, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*m + 1509 + 13441 = 0 for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00092421539 rounded to five dps?\nAnswer: 0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 14207*r**3 - 4*r - 20. Let q be z(-15). Let h = q + 69248585. Round h to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 165 - 1483\/9. Let y = -5.4 - -5. What is the nearest to 2 in y, -0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -2 (c) -0.3 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114808434, 229616872, 344425310, 459233748?\nAnswer: 574042186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 2*a + 1. Let w(g) = -g**2 + 1. Give t(j) - 2*w(j).\nAnswer: 4*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/2)\/7*2. Suppose -4*w = j*s + 1 + 11, 3*s + 15 = -5*w. Suppose -2*o + 21 + 77 = s. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 3, 6\/5, 4, -2\/9?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1363 = 3*x + l - 1371, 2*l = -4*x + 14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d + 0*d = -4347. Let c = 917 + d. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5735, -11694, -17657, -23624, -29595, -35570, -41549?\nAnswer: -47532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 - 3*x**3 - 32 + 58.\nAnswer: -3*x**3 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -4)\/(2\/4). Let w(k) = 3*k - 4. Is 3 a factor of w(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 10eb?\nAnswer: 10f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 131*f**3*j**2 + f**3*x*z - 3*f**2*j**3*x - 42125*j**3*x*z - j**3*x + x with respect to z.\nAnswer: f**3*x - 42125*j**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -45. Which is the closest to y? (a) -1\/4 (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -19. Let w = 239\/3 + -81. What is the third biggest value in w, z, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 46 (b) -2\/3 (c) -2 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33260793 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 39*x**3 + 103577*x - 143 - 43*x**2 - 40*x**3 - 103490*x. What is d(-45)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -259 + 267. Let o = z + -7. Let l = -1.2 + 0.2. What is the third biggest value in -5, o, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - o = 0. Let h(v) = 4*v**2 - 4*v + 14. Let i(l) = 5*l**2 - 5*l + 15. Let c(z) = 4*h(z) - 3*i(z). Calculate the remainder when 32 is divided by c(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 291549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 - 42. Let d = -48 + n. Let h = d - -1. Which is the closest to 1? (a) -1\/4 (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -13520344?\nAnswer: 13520342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16\/7 (b) -0.2 (c) 0.1 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5411 - 54187\/10. Calculate the common denominator of 115\/6 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -3\/8, -3\/22, 3\/2, -3\/7, 11?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 994 and 568?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4119\/2 - 2059. Determine u, given that 7\/4*u + 7\/4*u**2 + j + 1\/2*u**3 = 0.\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 4*c**3\/3 + 52*c**2 - 3168*c - 3591. Determine i so that w(i) = 0.\nAnswer: -44, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a tonne in kilograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34482)\/1642*50\/42.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -94, -86, -78?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9967671 and 619110.\nAnswer: 99676710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -9. Suppose z*k = -2 + 6. Let d be -3 + 2 + (k - 5). Let s(v) = 2*v + 6. What is s(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(170) - (-4*sqrt(170)*-1 - sqrt(170)))*5)\/((sqrt(70) - (-2*sqrt(70)*-3 - sqrt(70)) - sqrt(70))\/(sqrt(252)*1)).\nAnswer: -60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -3*h - 8, -5*h - 10 = l + 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 + -92 - 54 - -28.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3 + 0.4. Let j = -3.3 - c. Put j, 3\/4, -15\/13 in decreasing order.\nAnswer: 3\/4, -15\/13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561691 is divided by 102?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.9 + 0.1. Which is the closest to 0? (a) -2 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-1)\/((-4)\/(-4)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5 = 3*g. Suppose -2*f - 4*m + 32 = 0, 0 = -g*f + 2*m - 7*m + 100. Suppose 4 = -5*a + f. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 10 - 3*i**2 + (-4*i - 4*i + 4*i + (3 + 1 - 3)*(i - i + i))*(-4 + 5 - 4)*(1 - 1 - i) in the form t + f*i**2 + g*i and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = l - 78 + 27, -l - 3*z = -49. Calculate the remainder when l is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**3 + 1680*x**2 - 101079*x + 1613898 = 0.\nAnswer: 33, 494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, 0, -25, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(1\/20))\/i**(-10))**(-19) assuming i is positive.\nAnswer: i**(-4541\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by -588169.\nAnswer: 43\/588169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18295 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*-4*(2 + -1*sqrt(72)*-2 - (sqrt(72) - (sqrt(72)*1 + 5))*1))**2.\nAnswer: 2208*sqrt(2) + 5137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 7 = 3*y, z - 6*z - 2*y + 26 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**2 + 0*q**2 + 2*q**2)*(3*q**3 + 2*q**3 - 3*q**3).\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 2*q**2 + 2*q + 2. Let i be v(0). Suppose -s = -i*s - 2*s. Let c be 24 - 24 - 34000\/(2 + s). What is c rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 44\/3. Which is smaller: 3\/16 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -967 - -975. Let q(b) = -8*b**2 - 9*b + b**2 + b**3 + 15 - 2. What are the prime factors of q(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*n - 214, -5*i - 377 = -4*n - 17. Let y = i + 33. Let w = -31 - y. Solve -b - 5*d - 9 = 2*b, -2*b - w*d - 8 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/1454400 and -133\/384.\nAnswer: 2908800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-116)\/(-145))\/((-1)\/2)*60\/24.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 114, -3\/4, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, p: 2}. What is prob of picking 1 x and 2 p?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*j - 728. Let c = -60 + j. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11467*i**2 + 85*i + 16980121 wrt i?\nAnswer: 22934*i + 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 4:46 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**4\/20 - 1436*p**3\/15 + 575*p**2\/2 - 1438*p\/5 - 1802. Solve b(t) = 0.\nAnswer: -1438, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3 + b**3 - 395424*b - 87*b**2 + 395424*b - 3*b**4 in the form m*b**4 + k*b + w*b**3 + a + z*b**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 5:19 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40823*c + 9 - 40644*c + 18 to the form g*c + o and give o.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 26*p - 131. Suppose 56 + 14 = 10*f. What is the remainder when g(f) is divided by 42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 174.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 10, q: 4}. Give prob of picking 1 v and 1 q.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-52)\/42 - 8\/(-14). Let c = -0.11 + 5.11. What is the second biggest value in -2, y, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (330\/(-90))\/((2\/(-72))\/((88\/(-11))\/(-32)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10402\/21 - (-2)\/(-6)) + 6\/(-2). What is the greatest common divisor of g and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 3179*x**4\/4 + 2156*x - 2216. What is the first derivative of y(m) wrt m?\nAnswer: 9537*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5064, 10128, 15192, 20256, 25320?\nAnswer: 30384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 101130 to the nearest 1000.\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2))\/(2 + 212\/(-104)). Suppose f*o + 104 = 15*o. Let w = 60 - o. Calculate the highest common divisor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 16*b**2 + 13*b + 54. Calculate q(17).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/315077 and -47\/7931.\nAnswer: 3465847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/18252 and 33\/182.\nAnswer: 127764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**3 - 2*v**2 - v - 2. Let y(q) = -q**2 - q + 10. Let i be y(7). Let s = 44 + i. What are the prime factors of c(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52388173 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**(2\/13)\/l)*l))\/(l\/(l**(2\/3)*l))*((((l\/(l**(-7)\/l))\/l)\/l*l)\/l*l)\/(l*l**(-5)\/l) assuming l is positive.\nAnswer: l**(461\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3419 - 3435. Suppose -3*w + 5*h = -8, w + 0*w - h = 2. Let q be (0 + 2 + w)*-5. Do q and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*v**2 + 41*v**2 - 8*v**2.\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, 0, 0.3, 2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.89*0.3.\nAnswer: -0.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 106\/5 (b) -2\/9 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 97709547*i**2\/2 + 26794365*i\/2 + 7347675\/8.\nAnswer: 3*(11414*i + 1565)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-33)\/(-12) + 9\/36. List the prime factors of 9*(-2 + 3) - (5 - b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k - 12. Is 14 a factor of 83 + (3 - (-8)\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -m + 30. Let j be (-12)\/(-27) - m\/45. Determine x, given that 1\/6*x**2 + j + 2\/3*x = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**2\/5 + 8149*r - 40746\/5 = 0.\nAnswer: -40746, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1270, -2425, -3574, -4717, -5854, -6985?\nAnswer: -8110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2567588 + 2567588 - 2*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332296488?\nAnswer: 2, 3, 4615229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 11*z**2 + 11*z - 7. Suppose 0 = 4*j + 1 - 41. Let p be u(j). Solve -s + p + 1 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 12:23 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 610266 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 409737*d**2\/5 - 3277902*d\/5 + 48\/5 = 0.\nAnswer: 2\/136579, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2) + 6 - (-165)\/(-33).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2620 = -4*a + 25476, 3*a - f - 21092 = 0. Let m be 129\/a*(-2)\/(-2). Let r = -3\/71 - m. Are r and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 + 1.1. Let q(c) = 2*c + 0*c + 3 - 3*c. Let h be q(8). What is the closest to -0.1 in h, 1\/3, d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44.9 + -45. What is the third biggest value in 5, -0.09, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 12 + 0 = 0. Let u = w + 6. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 12*t**2 + 2194*t + 4327. Give c(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3410297 to the power of 1\/2, to the nearest integer?\nAnswer: 1847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p. Let b(t) = 3*t. Let v(h) = -3*b(h) + 2*l(h). Let g(k) = 2*k**2. Give g(v(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*3*(5*(sqrt(468) - (0 + sqrt(468))*4 - 2*(sqrt(468) + 1)))**2.\nAnswer: -2633400 - 27000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10806 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32866*h**3 + 3*h**2 - 4347*h + 2?\nAnswer: 197196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 - 8*g + 1. Let a(j) = 4*j**4 - 28*j**3 - 12*j**2 + 233*j - 5. Let s(f) = -a(f) - 5*k(f). What is the third derivative of s(n) wrt n?\nAnswer: -96*n + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150208 * 8.\nAnswer: -1201664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 58785038397335.\nAnswer: 58785038397338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozz when three letters picked without replacement from {z: 6, o: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*b - 221*b = -48 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 5 - 6)*(-762 - 319 - 7*b + 311) to the form w + n*b and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-22)*(-16 + (-1677)\/(-78)). Let t = -1 + 0.8. Which is the second biggest value? (a) t (b) 55 (c) g (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 743785 or 743782?\nAnswer: 743782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*d + 234, 3*d + 171 = 3*i - 0*d. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h**(-1)*h))\/h**2 assuming h is positive.\nAnswer: h**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -20. Let c(a) = -a - 1. Let i(h) = 2*h**2 - 2*h - 2. Let b(v) = z*i(v) + 2*c(v). Let y(g) be the first derivative of -13*g**2 - 2. Give b(y(f)).\nAnswer: -1352*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 131 + -131.000213. What is h rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281279?\nAnswer: 281279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 25 = b. Suppose 48*g - b*g = -582. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -246063.528 to the nearest one thousand.\nAnswer: -246000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -5*a - 2*d, 0 = -a - 3*a - 3*d + 236. Suppose -5*q = -2*q - 57. Calculate the remainder when a is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6429 is divided by 1274?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.122 + 1.56. What is a rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1371677 (base 8) to base 15.\nAnswer: 7a8a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3504651?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2198, 20, -3?\nAnswer: -2198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 11*w + 23. Let u be b(-8). Let r = -322\/5 - u. Factor 0 + 0*c + r*c**3 - 3\/5*c**2.\nAnswer: 3*c**2*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17029787 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/9)\/k*k)\/(k*k\/((k\/(k\/(k\/k**(-5))))\/k)*k))\/(k**(-28)\/k**(-2\/29)) assuming k is positive.\nAnswer: k**(7841\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 6. Let o be t(6). Suppose o = 4*y + 2*f - 64 - 16, -3*y + 3*f + 69 = 0. What is y rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*u - 6161 = -14*u. Solve 0 = 14*y + 31 - u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -758, -3002, -6738, -11966?\nAnswer: -18686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 3 = 5*p + 21, 0 = 4*h - 4*p - 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u - 10. Let o be l(-7). Let c(m) = 0*m - 2*m + 2*m + o*m**2. Let p(r) = 2*r**2. Calculate p(c(a)).\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305669, 305644, 305609, 305570, 305533?\nAnswer: 305504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 11:08 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7567 is divided by 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8266987 rounded to 3 decimal places?\nAnswer: -1.827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from {f: 2, i: 2, e: 2, r: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - m + 14 = 0. Calculate the common denominator of (61\/5)\/(42\/15) and (28\/256)\/(m\/(-8)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12e3d8 (base 15) in base 7?\nAnswer: -10503266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4906392 divided by -613299.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 11:24 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, 2\/185, -8, 0.5 in increasing order.\nAnswer: -8, -1.1, 2\/185, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 + 0*d**2 - 2*d**2 - 3*d**3)*(-5 - 1 + 3).\nAnswer: 6*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1795*j**3 + 8*j + 41.\nAnswer: 10770*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32.8360838 - 32.33609. Let i = -1.9 + 2.4. Let w = m - i. What is w rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15*-0.57\nAnswer: -0.0855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 463140406 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 856782607 to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 8*t**2 - 9*t + 8. Let j be h(9). Suppose -4*l + 12 = -j. Let v = 1.7 + -2. Sort l, v, -0.2 in decreasing order.\nAnswer: l, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14529451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 7*q**2 + 2*q - 6. Suppose -1 - 14 = 3*w. Let p be c(w). Calculate the greatest common factor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4185*a**3 + 2087*a**3 + 21*a**2 + 2097*a**3.\nAnswer: -a**3 + 21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = g + g. Sort -3, g, 0 in decreasing order.\nAnswer: 0, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 13*k**2 + k - 1. Let h be a(1). Suppose 3*q = -0*q + 30. Suppose b - 2*t - 2 = 2*b, -q = -3*b + 2*t. Solve -b*x + h = -l + x, 4*x = -3*l + 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 279456.\nAnswer: 3074016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48619760 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549989 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43696 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j = 24. Let m = -5 - j. Let q be (-18)\/(-24) + m\/(-4). Solve -3*s + 1 = -l - q*l, -4*l = -s - 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 8\/7, -5310, 3?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v + 50*v**3 + 1917 + 50*v**3 - 1917 - 95*v**3.\nAnswer: 5*v**3 + 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -324*m**3\/5 - 792*m**2\/5 - 304*m\/5 - 32\/5 = 0?\nAnswer: -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 135*y + 2. Let b be o(3). What is the highest common divisor of b and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -86*u - 3675. Let a(y) = -206*y - 9187. Calculate 5*a(t) - 12*q(t).\nAnswer: 2*t - 1835","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 10*x**2 + 31*x - 53. Let a be r(15). Suppose 0 = -a*t + 1543*t - 468. What is the greatest common divisor of t and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 7:40 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09924563 to 5 dps.\nAnswer: -0.09925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - (sqrt(539) + 0)**2)*6 + 5)*-1.\nAnswer: -42*sqrt(11) + 3229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8428600 rounded to the nearest ten thousand?\nAnswer: 8430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.05, 1.43 in decreasing order.\nAnswer: 1.43, -0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -3*v**5\/5 - 3*v**4\/2 + 3*v**2 + 3*v + 8. Factor q(z).\nAnswer: -3*(z - 1)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 7. Suppose 4*i = 4*m + 44, 2*i + 38 = -4*m + 3*i. Let u(k) = -4*k + 30. Let x(b) = m*j(b) - 2*u(b). What is x(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1522*r = 1490*r - 896 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 19, -3, -23\/7.\nAnswer: -23\/7, -3, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -348 by 1157.\nAnswer: -348\/1157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -17. Suppose 4*k - 2*k = l. Suppose 6 = 4*z - k. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22417255?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -101101011100100100011?\nAnswer: 101101011100100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgz when three letters picked without replacement from {g: 1, m: 1, a: 1, z: 1, c: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s - 2*s - 6 + s - 5*s + s + 0*s + (s + 0*s + s)*(2 - 2 - 2) - s + 2*s - 3*s.\nAnswer: -12*s - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107.985*0.54.\nAnswer: 58.3119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**7\/280 - i**6\/32 - 3*i**5\/80 + 13*i**4\/32 + 5*i**3\/4 - i**2 - 2. Determine w, given that x(w) = 0.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 201850 to the nearest 1000.\nAnswer: 202000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1870 = z + 4*p, p + 0*p + 9329 = 5*z. Suppose 3735 = -2*j - t, -j = -2*j - t - z. Let b = j + 9311\/5. What is the common denominator of b and -5\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqv when three letters picked without replacement from vvtqvtttqqv.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o**2 - 2*o + 1. Let f be z(2). Let j = f - -20. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5056 and 8.\nAnswer: 5056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**2 - 31945*m + 223370 = 0. What is m?\nAnswer: 7, 6382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 8) to base 2\nAnswer: 110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6294, 6462, 6642, 6840, 7062, 7314, 7602?\n\"Answer: l**3 + 161*l + 6132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**14)**(2\/43)\/(b**(2\/11))**(6\/19) assuming b is positive.\nAnswer: b**(5336\/8987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/7*280\/80*-6. Let o be ((-243)\/108)\/(m\/12). Solve -16 = -o*x - 52 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*q - 98*q = -952*q - 56300 + 13796 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 57424 - 76?\nAnswer: 57337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/2 - (-1 - (-1479)\/145)\/((-12)\/(-10)).\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108328993109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**7\/70 - 31*g**6\/40 - 357*g**5\/20 - 1809*g**4\/8 - 1701*g**3 - g**2 + 29*g + 1. Factor w(q).\nAnswer: -3*(q + 6)*(q + 7)*(q + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71.02 - -1.02. Let s = v - -69.5. Let r = -0.39 + 0.39. Which is the biggest value? (a) -13 (b) 0.1 (c) r (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -3*(1*sqrt(77) - sqrt(77)))\/(-3*sqrt(11)*-2).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 217440 a multiple of 453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95 + -58. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**8\/14 - 7*y**4\/12 - 11*y. What is the third derivative of r(j) wrt j?\nAnswer: -480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21329, -85420, -192239, -341786?\n\"Answer: -21364*n**2 + n + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(108)*2 + 5 + sqrt(108) + 1 + -5*(0 + sqrt(108) + -3) + -3)**2.\nAnswer: -3456*sqrt(3) + 27972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*y. Suppose -p - 3*q + 14 + 13 = y, -q + 5 = 0. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(5 + (1*sqrt(847) - sqrt(847)) - sqrt(847)) + (sqrt(847) - ((sqrt(847) + 1)**2 + -5)) + -2).\nAnswer: -4350 + 220*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 479 + -1 - (-4)\/4. Suppose 11*x = -182 + y. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(425\/25)\/(-17)*2\/1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*p - 11, 150*h = 153*h + 4*p - 17. Suppose -4*g + 81 = -g. Let r = g + -15. What is the remainder when r is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + -6. Let k = f - -20. Suppose w = -4*w - 2*p + 340, k = -4*p. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 248, 40, -298, -760, -1340?\n\"Answer: l**3 - 71*l**2 - 2*l + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4\/11 + 804*g**3\/11 + 43200*g**2\/11 = 0.\nAnswer: -48, 0, 450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1410 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49489568?\nAnswer: 2, 1546549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 + -231?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24\/(-84) - (-2)\/((-42)\/(-7335))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i**3 + 6500*i**2 - 3240*i**2 + i - 3*i**3 - 3230*i**2 as q*i**3 + w + b*i + z*i**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4653?\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*r = 10, 0*p = -5*p - 2*r + 4. Is p at least -4\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, -30, -56, -86, -120, -158, -200?\n\"Answer: -2*d**2 - 16*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2. Let r(y) be the second derivative of 1\/6*y**3 + 19*y + 4*y**2 + 0. What is r(s(t))?\nAnswer: t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 93, 218, 443, 798, 1313, 2018, 2943?\nAnswer: 4118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 2\/13, -3\/5, -0.1, -102, 3, 43\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**2 - 7*l + 26. What is the remainder when s(5) is divided by (((-1547)\/26)\/7)\/(2\/(-4))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 984112, 1968402, 2952716, 3937066, 4921464?\nAnswer: 5905922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2704\/2028*4\/40*162*10\/(-4)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40148.\nAnswer: 2, 10037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/15)\/((v\/v**(-4))\/v))\/(v\/(v\/((v\/v**(2\/19))\/v*v))*v**(3\/7)) assuming v is positive.\nAnswer: v**(-10354\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from {n: 2, i: 3, r: 2, s: 9}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 21.06612 + 4\nAnswer: 25.06612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*v + 64*v + 3456 = 0. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/15 - 23\/(-5). Let o(i) = i - 6. Determine o(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4683 + 6970. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 - (-6 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39.7 + 14.3. Let z = 53.9 - k. Which is bigger: 4\/75 or z?\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 91*x + 142. Let c be m(92). Which is bigger: c or -25?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120553 = 24*n + 119641 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/20)\/((-2)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/9 + (-16600)\/(-67977))\/((-1)\/7).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 40*j + 7 = -12*j - 16*j - 16*j, -3 = b + j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*o + 31*o**2 + 8*o + 0*o to the form a*o**2 + p*o + y and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13854 + -13847. What is the remainder when 11946 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15003 is divided by 1153.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 1\/3, 2750, 2\/7, 0.5, 3?\nAnswer: 2750","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 18 = -2*z. Let p be z\/10 + (-40)\/100. Solve p*m + 30 = -6*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -49?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-71 - -9) + 90?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (0 - (-2 + 6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbvs when four letters picked without replacement from snbuuvsusuuu.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/3)*y*y**4*(y**0)**(13\/5))**42 assuming y is positive.\nAnswer: y**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429322377.\nAnswer: 3, 11, 13009769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 6*w = 356. Let y = w + -66. Calculate the remainder when 89 is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -7*m**3\/6 - 11*m**2\/2 - 2*m. What is the units digit of b(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5803960035.\nAnswer: 3, 5, 367, 461, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26378 + 51853 = 94*s + 6791. Calculate the highest common factor of s and 5510.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24181.95 nanoseconds in minutes?\nAnswer: 0.0000004030325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1\/3 (c) 5153.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - (2 + 76 + -5). Let n = c - -85. Suppose n*z - 469 = 35. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*g + 6296 = 0, g - 212 + 8082 = 5*s. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -278171837 by -4.\nAnswer: 278171837\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + u + 1193 = 0, u - 10 = 3*u. Is 38 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 371120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -22, -1, 0, 3, 20 in decreasing order.\nAnswer: 20, 3, 0, -1, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -7*d**4\/4 - 2*d**3 - 3*d**2 + 4*d + 13. Let l(q) = -q**2 - q + 1. Let u = -1230 + 1229. What is u*s(r) + 6*l(r)?\nAnswer: 7*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 l, and 1 j when three letters picked without replacement from brajrrrrzrabrarbrlr.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x - 7*x - 3*x - 10*x + 20*x - 9*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11, 47, 105, 185, 287, 411, 557?\n\"Answer: 11*y**2 + 3*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 13 + 11. What is the highest common divisor of c and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 151791086, 303582171, 455373256, 607164341, 758955426?\n\"Answer: 151791085*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104692, 209382, 314072?\nAnswer: 418762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**2*o**2*t**2 - l**2*o*t + l**2*t - 3*l*o**2*t**2 - 60*l*o*t**2 - 281*o**2 + 2*t**2 wrt o.\nAnswer: 4*l**2*t**2 - 6*l*t**2 - 562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 37 + 35. Let q be (3\/6)\/((-2)\/w). Suppose n - q = -n. Solve m - 5*d + 6 = 0, -5*m + 3 = n*d + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*r + 32 = 0, -2*r + 30 = 4*x - 34. Suppose -x*h + 32 = -20*h. Let o = h - -5. What is o rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 14*p**2 - 6*p - 10. Let n(z) = 3*z**3 + 41*z**2 - 17*z - 31. Let v(c) = -4*n(c) + 11*u(c). Let h be v(-10). Is (-51)\/h + (-6)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5804766, 5804732, 5804642, 5804466, 5804174, 5803736, 5803122, 5802302?\nAnswer: 5801246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 11*k + 15. Let m be w(10). Which is the third biggest value? (a) -5 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 760 - 397. Let d = s - 366. Let a = -4 + -1. What is the second biggest value in 5, a, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -862.1 - -862. Which is the smallest value? (a) -5 (b) 2 (c) 0 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15175*d**2*s*t**3 + 2*d**2*s - d**2*t**2 - 212*d - 3*s*t**2 - 2*s wrt t.\nAnswer: 91050*d**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*q - 24768, 0 = -494*h + 499*h + 5. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-7 - -3 - 1)) + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 n when three letters picked without replacement from fagfafafngn.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = -22*h + 5*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -7, -5, 0.3, -0.08, 0.168?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 460871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times 796.6?\nAnswer: -63.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 4100 and 944821480.\nAnswer: 944825580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -265, -530, -773, -982, -1145, -1250, -1285, -1238?\n\"Answer: 2*v**3 - v**2 - 276*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -5*d + 12, 5*d - 2*c - 3*c - 5 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-9)\/(-72))\/3.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g + 35. Let z(t) = -38*t - 10. Let j(s) = -4*s - 1. Let d(o) = -20*j(o) + 2*z(o). Give v(d(w)).\nAnswer: 32*w + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 8:40 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 15.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*i**5 - 49*i**4 + i**2 - 273*i?\nAnswer: 720*i**2 - 1176*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34281 is divided by 68?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2578 - 2162. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Let g(s) = 2*s**2 + 3*s + 3. Let x(l) = 5*l**2 + 8*l + 8. Let a(v) = -8*g(v) + 3*x(v). What is n(a(k))?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6423 + 10771. Suppose -14*i - o = -18*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*-5\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(-1*sqrt(2)) + sqrt(180) - -1*((sqrt(25) - -3*sqrt(25))*-6)\/sqrt(5).\nAnswer: -19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -1 (b) 24 (c) -0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/19, -3, -17743, -6, -0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 939454 - -1?\nAnswer: 939455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -45393.\nAnswer: -1\/15131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6359612 by -49.\nAnswer: -129788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.105 in 6\/1507, -3, 9, 1\/4?\nAnswer: 6\/1507","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)*-1)\/(sqrt(2) - sqrt(22)\/(sqrt(11) - sqrt(11)*-3) - sqrt(2)).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120020134 - -4?\nAnswer: 120020143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-6) - 8)\/((-8)\/3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y + 6*y**2 - 5*y - 26*y**2 - 10*y.\nAnswer: -20*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + y + 3 = 21, 0*n - 538 + 583 = -n + 5*y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1154682 divided by 54\nAnswer: 21383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172782 divided by -191.\nAnswer: -172782\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 1221095.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -375*n**6 - 88*n**2?\nAnswer: -45000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 22*c + 200. Calculate the least common multiple of m(4) and 72.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = 3 + 15. Let g be o + 0 + (-7)\/((-21)\/(-9)). Which is bigger: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6628781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 183.4515 from 0.311.\nAnswer: -183.1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l = 4*l + 42 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvv when three letters picked without replacement from ghjvvgvvhhvg?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*2)\/(((-8)\/7)\/(105\/(-735))).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 53 - 1\/2*n**3 - 1536*n - 48*n**2. Factor h(w).\nAnswer: -3*(w + 32)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 10:02 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 1\/6*i**3 + 0 + 4*i + 0*i**2. Let j(m) = m. Calculate h(j(t)).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -536 - 51179?\nAnswer: -51715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19.3707968+0.027\nAnswer: 19.3977968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-7))**(-19\/5)\/(((v**(-1\/25)*v*v)\/v)\/v**4))**(15\/7) assuming v is positive.\nAnswer: v**(2223\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h - 82. Let m be y(41). Put 5, -1, 9, m in decreasing order.\nAnswer: 9, 5, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15 + 1)\/(-28))\/(3\/(-6)*5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/567285 and 55\/3630624?\nAnswer: 18153120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**3 - 59*l**2 - 150*l - 72. Let u(c) = 4*c**3 - 60*c**2 - 148*c - 72. Let f(r) = 4*s(r) - 5*u(r). Factor f(a).\nAnswer: -4*(a - 18)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3551, -3, -4 in descending order.\nAnswer: 3551, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -25\/6, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-25))\/(252\/(-6440)) - -2*3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 598 and 851?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/9)\/(2\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/385? (a) -15 (b) -1 (c) -0.471\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -18*w. Let f be g(-6). Let n = f - 65. What are the prime factors of n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -23*t - 34*t**2 - 2 + 1 + 5*t**2. Let k(b) = -10*b**2 - 8*b. Let h be (-1)\/2*-2*-2. Let v(r) = h*y(r) + 7*k(r). Solve v(f) = 0 for f.\nAnswer: -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*m + 139, -a = 5 - 1. What is the remainder when m is divided by (-473)\/(-55) + (-4)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4.980636 centuries?\nAnswer: 5976.7632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13837 is divided by 631?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 143052*y - 1705322892.\nAnswer: -3*(y + 23842)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -25. What is the nearest to -17 in i, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -30*p + 15. Let m be r(5). Let w = 142 + m. Calculate the remainder when 158 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 18, 2, 1.9, 1 in increasing order.\nAnswer: -0.2, 1, 1.9, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 126\/10 - (-3)\/(-5). Suppose -8*u = -4*u - n. Suppose u*f - 20 = 13. Calculate the highest common divisor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thhhtthtxe. What is prob of sequence hxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(2\/7))**14)**36)**(-46) assuming a is positive.\nAnswer: a**(-29808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6*m + m + 8 = 0, -m + 7 = 5*c. Suppose -k + 13 = c. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/1*-14*(-3 - -4). Suppose g - 3 = 5*z. Solve -5*x + 1 = -2*a, -z*a - 18 = -3*x - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -300, -30, 240, 510?\n\"Answer: 270*m - 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1447159451.\nAnswer: 241, 6004811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2*r - 586, 76*z + 1152 = 80*z + r. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**2*u**3 - s**2*u + 2111*s*u**3 + 34*s - 7*u**3 - 21478 wrt u.\nAnswer: 24*s**2*u + 12666*s*u - 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1885672, -1885670, -1885676, -1885696, -1885736?\n\"Answer: -y**3 + 2*y**2 + 3*y - 1885676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-3)\/2)\/(-3)*400\/(-25))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-2)*m**(-7)*(m**(-2\/5)\/m)\/m**(-2\/9) assuming m is positive.\nAnswer: m**(-233\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 44 = -13*d + 19*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 37\/21187?\nAnswer: 37\/21187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 56, 88, 120, 152, 184?\n\"Answer: 32*h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30386331.\nAnswer: 3, 53, 63703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 + 8*q**2 + 5*q**2 + 4*q**2.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 49\/187?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qjqqqqqqj.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1280 and 123\/4397440.\nAnswer: 8794880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8*(0 + (-15)\/6 - -2). Is l at least as big as -18\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/24)\/(119\/14 + -8). What is the nearest to 0.2 in r, 2, 14, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 906919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5162 - -5179 - (-3 + -23 - 0).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1932582361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(f\/(f\/f**(3\/16)))))\/(f**3\/f)*(f**(-25)*f)\/(f\/(f**1*f)*f))**(1\/11) assuming f is positive.\nAnswer: f**(-39\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from {n: 1, a: 1, v: 4, r: 7}?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 16*l - 33. Let v be j(3). What is the highest common factor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 4 - 36. Suppose 0 = -2*j - 4*t + 16, 3*t = -2*j + j + n. Let b be 18\/8 + j\/(-32). Solve -m = -b*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -7*z**5\/60 + 5*z**4\/12 + 5*z**3\/6 + 9*z**2. Let l(m) = -8*m**2 + 11*m + 4. Let v(u) = -5*f(u) + 4*l(u). Factor v(h).\nAnswer: 3*(h - 3)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22854?\nAnswer: 2, 3, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -124*k**2 - k - 3. Let g(b) = -246*b**2 - 2*b - 5. Determine -3*g(x) + 5*u(x).\nAnswer: 118*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -80 (base 10) to base 12\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/3150582 and 25\/13652522.\nAnswer: 40957566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127620 is divided by 200?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - t**3 - t**3 - 27 - 26.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(12*v + v - 4*v).\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 10*a**3 - 19*a**2 - 16*a + 10. Let l(f) = -3*f**3 + 6*f**2 + 5*f - 3. Let z(k) = -2*d(k) - 7*l(k). Give z(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562201403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 4*i**2 - 5*i + 3. Let b = 3 + 1. Suppose -j = j - b. Calculate the remainder when k(-5) is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2732.3 - -2732.29999915815. Round w to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38\/15*h - 8\/15 + 10\/3*h**3 - 22\/5*h**2 - 14\/15*h**4.\nAnswer: -2*(h - 1)**3*(7*h - 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/5 - 6\/30. Suppose -5*r + w = 278 + 148, 423 = -5*r - n*w. Calculate the common denominator of -107\/76 and ((-6)\/33)\/(20\/r).\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3054324 divided by 6\nAnswer: -509054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*x - 24317 + 50934 = 22301 for x.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1469805 is divided by 54?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppojqjjjjqqqjjqojj. What is prob of picking 2 o and 2 q?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175 by 47.\nAnswer: -175\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - y + 1)*(5 + 2 - 1) - 3*y + 3*y - y - 11*y - 18*y + 8*y.\nAnswer: -28*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 384*g**4 - 13436*g**3 + 123508*g**2 - 109304*g - 1152 = 0. What is g?\nAnswer: -1\/96, 1, 16, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3307199 * -335.\nAnswer: -1107911665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21140 and 10190.\nAnswer: 21541660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1007587276*o + 127176277.\nAnswer: 1007587276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 - -116. Let b = 86 - n. What is the remainder when b is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 88*l - 360*l - 176*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (36\/63)\/(270\/(-105))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**3 + 2*d**3 - 3 + 1 - 3*d - 2*d**2 + 1. Calculate b(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Suppose 40 = i - m. Suppose -5*l - 5*g = -i, -4*l + 3*l + 12 = 2*g. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 + 2*u - 4*u - 5*u**3 + (-2 - 1 + 1)*(0*u**3 + 2*u**3 - 4*u**3) to c*u**3 + z + i*u + b*u**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018174708 to six decimal places.\nAnswer: -0.018175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 19161397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.87774 to one dp.\nAnswer: -25.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 minus 170658?\nAnswer: -170636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -6.1. Let f be ((-6)\/7)\/(6\/4). Sort 0.5, f, p.\nAnswer: f, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 14. What is the third derivative of 6*v + 3*v - 9*v + 3*v**i - 3*v**3 wrt v?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2748 greater than or equal to -2741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21782*c**3 - 13*c**2 - 32*c - 1.\nAnswer: -130692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 13*o - 14. Calculate the least common multiple of 49 and t(6).\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**5\/4 + 1089*u**4\/4 + 25110*u**3 + 72897*u**2 - 1080*u - 97200 = 0?\nAnswer: -180, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**4 + 5*h + 9 - 8 - 16*h + 48*h - 6*h**3 wrt h.\nAnswer: -12*h**2 - 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -43*b - 2. Let t(l) = 180*l + 4. Let u(q) = -4*s(q) - t(q). Let d(n) be the second derivative of n**3\/6 - n**2\/2 + n. Give -6*d(x) - u(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 141766177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47950 and 55937100.\nAnswer: 6850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 1. Let p be u(5). Suppose 5*a - 14 = 2*a - c, 26 = p*a + 5*c. What is the highest common factor of a and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.3 - -1.7. Let n = -16.035 + k. What is n rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28.26 + -0.26. Let d = -63 + 34.8. Let y = n + d. Is y at most as big as -5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 54*p - 43*p - 276*p - 212*p - 4 in the form k + a*p and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fppcpppfpfpppvppfs?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + 24\/(-64)*-8. Solve -i + m*i = 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 9, -9\/464 in decreasing order.\nAnswer: 9, 1, -9\/464, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -252, -39166, 22.\nAnswer: -39166, -252, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164 and 172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - 110452112?\nAnswer: -110452101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -21.2491, 1\/8, -5, 2 in descending order.\nAnswer: 2, 1\/8, -5, -21.2491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38857 + -32.\nAnswer: -38889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -651 = 198*w + 141 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 2*l - 4. Give s(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -350 (base 15) to base 11\nAnswer: -622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 2 = -9. Suppose 2 = -5*s + 3*k, -3 = 3*s - 2*k - q. Factor 0*f - f**2 + s*f + 3*f**3 - 4*f + 6*f**2.\nAnswer: f*(f + 2)*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-14) - (291\/63 + -3)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.0661, 14, 21\/10, 0.3, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -584849, -4674650, -15775535, -37393046, -73032725, -126200114, -200400755, -299140190?\nAnswer: -425923961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 4 = -r. Let m = -1807 + 1779. Let v = r - m. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.25 and -21.46.\nAnswer: -21.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*a + 14 = 2, 4*q = 4*a + 8. Let i(k) = 3*k**2 - 11*k + 13. Let v be i(q). Solve 3 = 3*b - 4*r + v, 2*b + r = 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(5 - (-16)\/(-3)). Let z(k) = 2*k - 1. Let r(g) = 1. Suppose -3*b + 1 - 7 = 0. Give b*r(s) + f*z(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 + (-3 - 2\/(-2 + 0)) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -1) + (5 - 4). Let y = -0.1 + 0. Let g = 4.15 - 4.65. Which is the smallest value? (a) s (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1)\/(1 - 0). Suppose -y + 2 = -d*y. Let b(j) = -4*j**y + 4*j**2 - 5*j**2 + 4*j**2. Let v(x) = 4*x**2. What is v(b(f))?\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33503\/2660 - -9\/380. Is -12 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 36837, 36872, 36931, 37014?\n\"Answer: 12*s**2 - s + 36826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2847*p - 2909. What is the thousands digit of t(22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 2) to base 16\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3926 divided by -1632\nAnswer: 1963\/816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**1*h)\/h)**(10\/7)\/(h*h\/h**0)**(-34))\/((h**(-1))**(1\/26)*(((h\/(h\/(h*(h**(-2\/3)\/h*h*h)\/h*h)))\/h*h)\/h*h)**(-24)) assuming h is positive.\nAnswer: h**(18727\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*258\/(-54) + ((-26)\/(-6) - 4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (353*t - 112*t - 70 + 69)*(9*t - 5 + 5) to s*t**2 + i*t + b and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - h. Let i(c) = -3*c**2 + 3*c - 4. Let g(v) = -i(v) - 2*r(v). Suppose 2*w + p + 5 = 1, -3*w - 4 = p. Give g(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 = -6. What is the highest common divisor of 46 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -384, -388, -394, -402, -412, -424, -438?\n\"Answer: -b**2 - b - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -2, 23071 in descending order.\nAnswer: 23071, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from nfnmsnnfssffsmmnnn.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-77)\/33)\/((-4)\/((-36)\/(-3))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 0*p**2 + 1 + 14*p**4 - 26*p**4 - 2*p**2 + 2*p**3 + 10*p**4 as y*p**4 + w*p + v*p**2 + m*p**3 + l and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**2 + 5*w + 1. Let g(t) = -2098*t. What is y(g(m))?\nAnswer: 17606416*m**2 - 10490*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ab + 6a26?\nAnswer: 6b15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 92\/(-15) + (-4)\/(-180)*6. Let k be (37 + -33)\/((-4)\/g). Solve -k*x = 5*a - 3*x + 18, -3*a - 3*x = 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, k: 4, r: 1, t: 1, j: 1, m: 1}. What is prob of picking 1 k, 1 r, and 1 j?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 231 and 230 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 8*i**2 + 47*i + 36. Give x(-12).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/111 - 13\/37. Let g = -378 - -416. Let n be 0 + g\/8 + -3 + -2. Which is the closest to -1? (a) -0.4 (b) n (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 29863 - -4?\nAnswer: 29867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17044 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 - 20*w**3 - 34*w**2 - 16*w.\nAnswer: -2*w*(w + 1)**2*(w + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 4 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.1, 3, -1\/16, 755 in decreasing order.\nAnswer: 755, 3, -1\/16, -6.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 15, -2*r = -3*r - 3*s + 84. Let p = 187 - r. What is the remainder when p is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppm when three letters picked without replacement from pmppppppppm.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 112?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 169 - 147 = 0. Suppose 2*x - f = 75. What are the prime factors of x?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10276413 divided by 4\nAnswer: 10276413\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**5\/70 - y**4\/42 - 5*y. What is m in k(m) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**2*w**2 - 2495073*k**2*w + 491114*k*w**2 - 24*w**2 wrt k?\nAnswer: 2*w**2 - 4990146*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 400 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 9:54 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 220463033231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*r**3 + 4*r**3 + 3 - 2*r**4 - 3 - 2 to the form y*r**3 + a*r + x*r**4 + j*r**2 + g and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/21 - (-2)\/7. Let c be 2*(-5)\/(-2)*1. Suppose j = -o - 0*o + c. What is the remainder when o is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-4)\/(-5))\/(17\/((-1360)\/96)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.8 + -34103.\nAnswer: -34100.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, c: 1, l: 2, n: 1, z: 1, m: 1}. What is prob of picking 2 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78*i**4 + 467*i**3 + 85*i**2 + 85251422*i?\nAnswer: -936*i**2 + 2802*i + 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3*v - 2. Let d be (-4)\/(-22) - (-24)\/(-253). What is the closest to v in 0, d, -2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.32 + -0.68. Let u be 5 + (0 - 1) - -2. Suppose 2*d - 3*k = u*d - 21, -d + 18 = 5*k. Which is the closest to -1? (a) d (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 90, 86, 82, 78, 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -83*w + 2911. Calculate s(35).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02 - 0.0200045. What is r rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 15. Find the third derivative of -c*a**6 + 5*a**6 - 69*a**2 + 58*a**2 wrt a.\nAnswer: -960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2 + (sqrt(320) - (-2*sqrt(320) + sqrt(320))))*-1 - (4 + (sqrt(320) - (1 + sqrt(320))))*1)**2.\nAnswer: 32*sqrt(5) + 1278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 368, 437, 512, 599, 704, 833, 992, 1187?\nAnswer: 1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 1. Let l(h) = 5*h - 4. Let d(o) = -l(o) + 4*s(o). Let n be -1*(-1 - 2\/1). Let z(k) = -2*k**2 + 0*k**2 + n*k**2. What is d(z(i))?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85304\/5 - -17132. Which is smaller: 70 or v?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 58 in 0, -1\/6, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351*a - 102 = 317*a. Solve 22 = -3*s - 2*x, -5*s - 4*x = -a*s + 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-5) + 0 + (-12)\/(-360). Is -6\/5 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42*20\/(-1680)*(-36)\/(-702)?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccthtcctchttthhcc. Give prob of picking 2 c and 2 t.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 13 - 3 = -3*u, -2*w = 2*u + 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2076224 by 4.\nAnswer: 519056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 8 = 3*v, -1 - 1 = -l - 2*v. Suppose -l*x = -3*x + 46. Suppose 5*i + 8 + 7 = 0, 2*i = 5*n - x. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/(r\/(r*r**11\/r*r))))*r**3)\/((r*r**(2\/33))\/((r\/(r**(-5\/4)\/r))\/r)) assuming r is positive.\nAnswer: r**(2137\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*((sqrt(12) - (sqrt(12)*-1 + sqrt(12) - sqrt(12))) + sqrt(12)).\nAnswer: -2 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*k**2 + 8*k + 525*k**3 - 531*k**3 + 0*k**2 wrt k?\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -122*p**2 + 287.\nAnswer: -244*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 44*v**3 - 5*v**2 + 16*v - 4. List the prime factors of x(5).\nAnswer: 3, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166675 a multiple of 295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1947, -1233, 711, 4503, 10761, 20103?\n\"Answer: 103*i**3 - 3*i**2 + 2*i - 2049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 8:53 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 1:09 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -440, -879, -1322, -1769?\nAnswer: -2220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.7952701 nanoseconds in days?\nAnswer: 0.00000000000027540821875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -62*y + 253. Determine h(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87551478 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 40408338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2559917138 + -2559917154.59999919. Let b = a + 16.6. What is b rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8746 a factor of 957832352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 156 + 63 = 0. Let k = z + 84. Suppose 10*m - k*m = -45. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -9.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4316, -17149, -38496, -68357, -106732?\nAnswer: -153621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1080*k - 1835*k + 54817 = 17067 for k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -1. Let r(c) = -c - 1. Let u(h) = 5*h + 3. Suppose 14 = -325*w + 332*w. What is b*u(g) + w*r(g)?\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -121, -155, -189, -223, -257?\n\"Answer: -34*p - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18840.8608 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2 - 764826*v + 764828 = 0. Calculate v.\nAnswer: -382414, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.52? (a) -11 (b) 32 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59695.36 decades to centuries.\nAnswer: 5969.536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7855*i**2 - 118676*i**2 - 12227*i**2.\nAnswer: -123048*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 172 + 162 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*v*y**3 - 6*v*y - 21*y**3 + 51*y wrt y?\nAnswer: -72*v*y - 126*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 + 65. Suppose 0 = -3*l - 5*u, -5*l - 3*u = -8 - 8. Suppose 0*b + 5 = l*b. Calculate the greatest common divisor of g and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-6) + 38\/4. What is the units digit of 30\/n*6 - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42569 - -979291\/23. Is y at most 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**2\/2 - 6*t - 15. Give s(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*k + 2, 0 = 2*u + 5*k - 37. Suppose -16*g + u*g = 1435. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51? (a) 0 (b) 27.743 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4*(1 + -1). Which is greater: -2\/53 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2) + -7 + 6. Let j be (-2)\/10*-4*(-20)\/36. Put -1\/3, o, 4, j in ascending order.\nAnswer: o, j, -1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655559184.\nAnswer: 2, 3, 7, 977, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27858 + -473584\/17. Suppose 0*b + 3*a = -3*b, 3*b - 5*a - 40 = 0. What is the closest to -0.5 in 1, 2\/7, b, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1148 = 2*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79160.24kg in grams?\nAnswer: 79160240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41 in -5, -0.6, -15, -6\/17?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/6 and -31\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 231958432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2 + 379562*i + 15565404 = 0. What is i?\nAnswer: -41, 189822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-18)*9\/57.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -13*s**3\/3 + 2*s**2 - 11. Let r(a) = -2*a - 106*a**2 + 62*a**2 + 50*a**2. What is -2*c(k) - 5*r(k)?\nAnswer: -4*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + s + 15. Suppose -s*c = -64 + 219. What is the common denominator of (c\/20 - 0) + -1 and 93\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + (-20)\/(-15))\/((-2)\/(-3)). Suppose a - 3*d = 3*a - 388, -y*a - d = -396. Suppose -5*t - 70 = -a. Calculate the greatest common factor of 39 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (124\/(-465))\/((-7)\/(-4))*(-102984)\/1568?\nAnswer: -2\/245","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*l - 121*l = -255 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (696\/88 - 9)*8\/16.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 194.6 + -195. Let b(u) = -u**3 + 5*u**2 + 6*u + 5. Let w be b(6). What is the smallest value in f, w, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 - 61 = -6*i. Let a = i + 26. Suppose a*w - 1 = -9. Let k(p) = 2*p - 7. Let f(n) = -n + 4. What is w*k(g) - 7*f(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 576395 by -6.\nAnswer: -576395\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/5 - 12502*i\/5 + 12503\/5 = 0. Calculate i.\nAnswer: -12503, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*f + 3364 = -177*f + 560 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 4*c**2 + 6*c. Let n be y(5). Suppose -5 = -2*j + n. What is the highest common factor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 2:14 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-12))\/1*240\/75\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1464759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 201. Let d be p(0). Let a = d + -116. What is the greatest common factor of 17 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6567271714 + -1?\nAnswer: 6567271713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33 + d?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 299 + 740 = -55*i - 1834 for i.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owywaowawawoowaoow. Give prob of picking 2 a and 1 o.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152.3 - 167. Let s = -12.054 - z. Let o = s - 2.8. Round o to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - t - 52 = 76, 0 = -2*t. Let j(x) = -37*x - 27*x - m*x + 100*x. Let p(h) = -17*h**2. What is j(p(g))?\nAnswer: -68*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*u - 35*u**2 - 40*u.\nAnswer: -35*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.24, 1\/4, 2\/3249, 0, -4\/7, -4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1485 + -1475. What is the second biggest value in -2, s, -21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -719*k**2\/2 + 159*k - 62. Differentiate v(x) wrt x.\nAnswer: -719","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2697*n - 204973. Determine w(76).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i + 5. Let n(z) = -z**3 - 4*z**2 + 11*z - 1. Suppose 2*u + 0*u + f = -9, 2*u + 18 = 2*f. Let v be n(u). Give j(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5741450087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -59 * -33.06\nAnswer: 1950.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20795 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.091 * -0.4\nAnswer: -0.0364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 778 or 780?\nAnswer: 778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 5*c + 5*x + 25, 4*x + 20 = -c. Solve -2*a + 4*k - 6 = -0*a, c = 4*a - 2*k + 18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -85*a**2 + 12. Let s(z) = -84*z**2 + 10. Let l(o) = -6*s(o) + 5*u(o). Let y(p) = -5*p. Give l(y(v)).\nAnswer: 1975*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -386 - -548. Suppose 17*c - 18*c + f = 0. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**5\/20 - h**4\/6 + h**3\/3 + h + 2. Let x(a) be the first derivative of k(a). Let d = -35 + 37. What is x(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 24*d**2 + 121*d + 1. Let y be o(-13). What is the highest common factor of y and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -20. Suppose 2*u - 5*i = 11, v*u + 0*i = -2*i + 45. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**5\/10 - l**4\/2 + 2*l**3\/3 + 32*l. Factor g(d).\nAnswer: 2*d*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-104)\/(-14))\/(((-348)\/(-203))\/12). Solve 0 = -12*f - h - 20 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + -65a?\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2897100*s**4 - 31*s**3 + 21718809*s**2 + 3 wrt s.\nAnswer: 69530400*s - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 516 - 507. Which is the third biggest value? (a) k (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5171166 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*n = -5170, -2*u + 0*n = 4*n - 5174. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -22. Let i(v) = -v + 7. Let y be i(g). Calculate the greatest common factor of y and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, 22, -5\/3, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 195126\/186 - (-28)\/(-434)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 - 7598778949665?\nAnswer: -7598778949665.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -1, 18890 in descending order.\nAnswer: 18890, 106, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2. Let m(d) = -11424*d. Calculate m(o(c)).\nAnswer: -11424*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 10460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 489*t**2 - 93*t - 1. What is the tens digit of j(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -46. Let u(r) = -8*r**2 - r. Let v be u(p). Let y(b) = b**3 + 6*b**2 - 8*b - 7. Let m be y(v). Solve 2*a + 4 = -m*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64\/16 - 54\/(-1) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from qqqqqqxq?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + (-2 + sqrt(833) - (-2 + sqrt(17) + -1 + sqrt(17))))**2 + -2.\nAnswer: 30*sqrt(17) + 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 7*g + 2. Let w be v(-7). Let h = -18 + 21. Suppose -y = d - h, -y = -2*d + w*y + 1. Which is smaller: 9\/4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/35 and 120\/650*8\/(-6)?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04288 + 0.95712. What is the smallest value in l, 13\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263849?\nAnswer: 263849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 881 divide 12077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2733513 is divided by 20708.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/5)\/((66\/(-120))\/(-11)*-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 137*i - 138.\nAnswer: (i - 138)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -82, -132, -210, -322, -474, -672, -922?\nAnswer: -1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m. Let p be r(4). Let j = -59 + 61. Let x = 19\/36 + -1\/36. Which is the third smallest value? (a) j (b) p (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5912760, 5912740, 5912718, 5912694, 5912668, 5912640, 5912610?\nAnswer: 5912578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 503*h**2 + 505*h**2 - 1004*h**2. Let o(b) be the first derivative of -6*b**2 - 1. Let q(u) = u. Let d(s) = 2*o(s) + 27*q(s). Calculate j(d(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ayd when three letters picked without replacement from {y: 1, d: 1, a: 1, p: 1, i: 2, f: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(200)*2.\nAnswer: -40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32 - -29)*(-40378)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297*q = 311*q + 14. Which is greater: -96\/79 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36342644 to the nearest integer?\nAnswer: 6028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38651741 to the power of 1\/2, to the nearest integer?\nAnswer: 6217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 9*f**2 - 9*f - 10. Let t be s(-8). Suppose 7*o = 5*o + t. What is the remainder when o is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/1)\/(24\/(-24))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + a**2 + 2*a + 2. Let d be w(-2). Suppose -6 = -4*t - d. Let n = t - -25. Which is bigger: n or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-4\/3))**15 assuming m is positive.\nAnswer: m**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2 + 6*w - 11. Is 11 a factor of r(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.768512 meters to kilometers.\nAnswer: 0.006768512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p + 85. Determine u(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + 0 + -1 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-1) - -1) + (12 - 5). Suppose 1 = z*l + w, -3*w - 13 = -5*l + 6. Put -0.6, -2, l in descending order.\nAnswer: l, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*t + 77*t + 219 = 5*q, 3*q - 5*t - 149 = 0 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5342775, 5342781, 5342787, 5342793, 5342799, 5342805?\n\"Answer: 6*b + 5342769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 10 = -17. Suppose 23 = b - 21. What is the remainder when b is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, w: 3, s: 1, t: 1}. What is prob of sequence ttt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -881*d - 40 = -889*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33021164 or -33021165?\nAnswer: -33021164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1026 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 292627987 to the power of 1\/3, to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*l = -180, 0*n + 180 = 4*n + l. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/3410186 and 47\/5610306?\nAnswer: 173919486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18295379997449 + 3*q**2 + 0*q**2 - 18295379997449.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4203 (base 5) to base 8.\nAnswer: -1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express n**4 + 5*n**3 + 16*n**2 - 12*n**3 + n + 6*n**3 + 0*n + 11*n**3 in the form r*n + f*n**2 + y + l*n**3 + s*n**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(3\/4)\/c)\/c*c)**(-25\/3)*((c**1*c)\/c)**37 assuming c is positive.\nAnswer: c**(123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 8\/5, 3\/4, -6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 1 = -z, 1 = 5*p + 4*z + 3 + 43 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/10 (b) 322 (c) 123 (d) 3 (e) 0 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171671.\nAnswer: 171671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 5. Let i be k(-8). Suppose -h = q - i - 5, 2*h + 5*q - 45 = 0. Calculate the remainder when 58 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6825 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**10\/453600 - x**8\/30240 + x**6\/2160 + x**5\/10 - 6*x**2. Let p(i) be the third derivative of n(i). Let p(z) = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x + 8. Let o be s(6). Let r(u) = u - 1. Let h be r(7). What is the units digit of ((-3)\/h)\/((-1)\/o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - x - 68, -15*z = -17*z - 2*x + 44. Solve -z*g + 22*g - 8 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i = -1031 - 2980. Suppose 21*a - i = 20*a. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*j - 6. Suppose -4*b + 4*y - 6 + 2 = 0, -y = 2*b - 10. Solve -10 = -b*d - 4*i, -j*d + 5 = 4*i - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2427043?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from brrommobr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**3 + p**2. Let s be h(1). Suppose 2*m + s*r = 318, 0*m + 2*r = m - 167. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by 2.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -128*l - 3. Suppose 0 = 12*v - 14*v + 8. Suppose 8*b - v*b = -5*i + 11, -6 = -3*b - 3*i. List the prime factors of p(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiiiiiiniiiiiiiii?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2280554900 to the nearest one million.\nAnswer: 2281000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10679 divided by -1?\nAnswer: -10679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (52\/(-494))\/(25\/(-475))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5789 a factor of 419505674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + 10 - (230 + -224).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 + 3)*(-2*j**3 - j**3 + j**3) + 6*j**3 - 2*j**3 + 4*j**3)*(-1 + 5 - 3).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1076)\/(-10))\/(-1) + (-1002)\/(-1670). Are -106 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43, -35, -27, -19, -11, -3?\n\"Answer: 8*t - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t + 28*t**2 + 9*t - 6*t to the form o*t + h*t**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(68) + 0 + -4 + sqrt(68) + sqrt(68))**2 - (sqrt(68) - (sqrt(68) + 2 + -1 + sqrt(68) + sqrt(68)))) + 5.\nAnswer: -44*sqrt(17) + 633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*g**5 + 3*g**4 - 2419*g**3 - 892744*g**2 wrt g.\nAnswer: -1800*g**2 + 72*g - 14514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, g: 2, w: 4, k: 6}. What is prob of sequence kwsg?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vnvvnvnnvnvvnvnv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/63)\/(1\/(-6)). Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g + 26. Let v be l(6). What is the highest common divisor of v and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 5. Let p = i - -16. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1993 + -1308. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*v - 77, 2*v = -2*d + 7*d - 165. Calculate the remainder when 60 is divided by d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c17 + -1b?\nAnswer: bda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7202931.47999954 - -7202951.48. Let m = -19.984 + -0.016. Let t = s + m. Round t to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-23 + -10) - 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtfh when four letters picked without replacement from hvhvfthshs?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -14*b**3 + 14*b**2 + 11*b - 2228. Let d(a) = -5*a**3 + 5*a**2 + 4*a - 743. Let o(x) = 11*d(x) - 4*y(x). Is o(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + j + 247. Let u be h(0). Suppose -7*k - 58 = -u. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -439*d**4*r**3 + 12*d**4*r - 3*d*r**2 - 735*d*r + 2*r**3 wrt d?\nAnswer: -5268*d**2*r**3 + 144*d**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -5*k**4\/12 - 2*k**2 + 2*k - 62. Let b(a) be the second derivative of n(a). Calculate b(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t - 2 - 3*t + 3. Let q be d(-1). Factor -1\/4*g**5 + 0*g + 0*g**2 + 0*g**3 + q - 1\/4*g**4.\nAnswer: -g**4*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4634 is divided by 122.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 280841678?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 1 - 4)*(1 + 4 - 6) - 2 + 3 + 1 + 2 + 2 - 2 + 1 - 4 + 2)*(22 - 22 + 3*i)*(0 + 2 - 4) to q*i + y and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/6*16\/10. Let j be -2*s\/32 + (-28)\/(-48). Let t(i) = i**3 - 4*i**2 - 7*i + 6. Let h be t(5). What is the fourth biggest value in -1\/5, j, -0.8, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 194562629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 - -144. Let f(h) be the second derivative of h**4\/12 + 2*h**3 + 47*h**2\/2 + 129*h. What is the remainder when s is divided by f(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4 + (12104 - -1) + 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 - t**2 - 3*t**2 + (-6 - 16 - 3)*(0 + 0 - t**2) - 6*t + 36*t**2 + 17*t - 14*t to the form o*t + k*t**2 + u and give k.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484 divided by -14?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9005 from -10269.588.\nAnswer: -19274.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 8*r**2 + 6*r - 2. Let k be a(-9). Let g = -31 - -35. Suppose -4*f = g*f + f. Solve 5*o = -f*o - k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89052 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1456 - 56b?\nAnswer: dda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -466*m**3 - 1114*m**2 - 31*m - 1. Let a(h) = 31*h**3 + 75*h**2 + 2*h. Calculate 31*a(n) + 2*q(n).\nAnswer: 29*n**3 + 97*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 8*j - 21. Let n be d(3). Let y = -4148 + 4143. What is the nearest to 0.1 in y, 9, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 t when three letters picked without replacement from {d: 2, t: 4, f: 8}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -197214604.1 + 197214602.130000714. Let u = 0.21 - 2.18. Let g = c - u. Round g to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2374, 16, -4, 1, 3, 7.\nAnswer: -2374, -4, 1, 3, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 0*f**2 + 4*f**3 + 0*f**2 - 4 + 2*f. Let d be (-144)\/(-9) + -3*1. Let h = 7 - d. Let v(o) = -5*o**3 - 2*o + 5. What is h*u(g) - 5*v(g)?\nAnswer: g**3 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -20.4 (b) -7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.3938 + 2.406407. What is f rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = 31056*z - 30965*z - 82 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3538*d**2 - 16*d + 3. Let k(f) = 1180*f**2 - 6*f + 1. Give -8*k(u) + 3*p(u).\nAnswer: 1174*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -273902 by -273902.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 3*l**2 + 8*l + 13. What are the prime factors of t(-5)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/4011 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 - 29*w**2 - 216*w + 20412.\nAnswer: -(w - 21)*(w + 54)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 196*89\/(-2462 - 30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1272*a**3 + 4*a**2 + 3*a + 7?\nAnswer: -7632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 29*j + 13 - 13. Which is smaller: j or 49\/61?\nAnswer: 49\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, 7, 1\/7, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 3*g + 2*g. Let n(a) = -a**2 - 10*a + 9 + 1 + 2. Let u be n(g). Solve 5*r - u = -6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, f: 3}. What is prob of picking 2 f and 1 b?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 38. Suppose -x + 3*x - t = 0. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51.5*4\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 + 891\/10. Which is the second biggest value? (a) -2 (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255548?\nAnswer: 2, 29, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182692 bigger than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 10:34 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -6)\/(-2)*(-1 - -1). Suppose -67 = 3*s + n + 11, -5*n = q. Is (2\/(8\/31))\/(s\/(-4888)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from gvcgjvggxg.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 284*q - 2. Let d be i(-5). Let s = -644 - d. Let r = -387 + s. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 366003.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edddddddededdd. What is prob of sequence ede?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 7*x - 1 - x)*(1 - 6 - 7).\nAnswer: -72*x + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 4:33 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96*x - 804 - 67*x**3 - x**3 + 97*x wrt x?\nAnswer: -408*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -0.9 (c) -1 (d) -78 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*j + 4*o, -4*o + 7 = 2*j - 3. Let k(d) be the first derivative of -d**4\/2 + d**3\/3 + d**2\/2 + d + 15. Let f be k(j). Solve 0 = 2*y - f - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttaataaaatttt. What is prob of picking 1 a and 3 t?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 46a (base 13) to base 2\nAnswer: 1011111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4041, 8297, 12553, 16809, 21065?\nAnswer: 25321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-40 - -57 - 33) + -22\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10120 (base 3) to base 10\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxx when three letters picked without replacement from {x: 12, n: 3, g: 1}.\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + a**2 + 12. Let q be l(0). Let u(v) = -62*v - 372. Let t be u(-6). Solve t = -2*m - m + q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 2. Let g be (-4)\/(-38) - (-9027)\/(-2907). Suppose 10 + 10 = 4*f. Let h(x) = x + 4. Calculate f*w(p) + g*h(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233244 is divided by 2912.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + 12. What is the least common multiple of 2646\/45*((-13 - -26 - 29) + 21) and u?\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -2*p**5\/5 - 5*p**4 + 14*p**3\/3 + 64*p**2 - 120*p - 7917. Let a(n) = 0. What is n?\nAnswer: -10, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 * -143829\nAnswer: -5609331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 6:43 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 689840565?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 1. Suppose 2*j = v*j - 12. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 3, -1\/26, 0.07?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 - (1 - (1 + -4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355085731?\nAnswer: 7, 11, 13, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6200 and 113925.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/16689 - 851159\/333780. Let v = -2\/9009 + 105113\/36036. Calculate the common denominator of z and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n. Let p(a) = -6*a**2 - 67*a - 86. Let h(k) = p(k) - 5*u(k). Solve h(s) = 0.\nAnswer: -43\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 21016 = 2613. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 5, -5, -3, 4 in descending order.\nAnswer: 5, 4, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 111 + -117.1. Let c = 6.0999892 + f. Round c to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3451647 is divided by 1702?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2112 and 5371872?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l\/(l\/l**(-1)*l))\/l*l)\/l*l)\/l**0*(l**5*l)\/((l*l**(-1\/7))\/l))\/(((l*l**(-2\/5))\/(l*l**(-2)*l))\/(l\/(l\/(l**(-1)*l)))**14) assuming l is positive.\nAnswer: l**(159\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 5*z**2 - 5*z + 13. Let g be a(-6). Let b(l) = 61*l - 60. Is b(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1467379.525 to the nearest ten.\nAnswer: -1467380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooggokkkkgk. Give prob of picking 3 k and 1 o.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*j**3 + 252*j**4 + 9*j**2 + 2*j**3 + 12*j**3 - 11*j**2 to the form n*j**3 + r*j**2 + f*j + m + g*j**4 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d + 113. Let f be i(17). Solve -14*n = -23*n + f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11 + 4)*6\/(-21). Let l(m) = 0*m**x - 4*m**2 + 3*m**2 - m**2. Let q(r) be the third derivative of -7*r**4\/24 + r**2. Determine q(l(t)).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4783039725?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21196186 smaller than 105980929\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184 and 267007.\nAnswer: 2136056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 707, 1, 281, -2.\nAnswer: -2, 1, 3, 281, 707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740300.\nAnswer: 2, 5, 11, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/9 and -69\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - 6732\/(-42) - (-4)\/(-14) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 4*t + 80, 2*x - 5*t - 2*t = -12*t - 32 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -3*q - 2*d, 15*q + 5*d = 20*q + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, h: 6, t: 1, z: 1, a: 4}. What is prob of sequence thh?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 18 = 4*b, 3*b + 7 = -0*o - o. What is the remainder when 70\/b*(-6)\/4 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15824*g - 7917*g - 7910*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*i = 59*i - 80*i. Factor -2\/7*y**3 - 18\/7*y + i + 12\/7*y**2.\nAnswer: -2*y*(y - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - x**2 - x - 1. Let i(w) = w**2 + 9*w - 21. Let c be i(-11). Let d(a) = 2*a**3 - a - 2. Give c*d(f) - p(f).\nAnswer: f**3 + f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 21 - 9 = 0. Let n be -73*(-4)\/h*3. What is the remainder when (1 - 8\/4)*n is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -243, -350, -457, -564?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 2*f - 4, 2*m + m - 1 = -2*f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 771*y = 775*y - 59, 66 = -24*s + 3*y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 n when three letters picked without replacement from {l: 3, o: 6, d: 1, n: 3}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 - 111*i**2 + 103*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**4 + 1570*r**3 - 121265*r**2 + 119700*r = 0. Calculate r.\nAnswer: 0, 1, 133, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 5. Let j = p - -7. Is 10 a factor of ((-74)\/j)\/(1 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/3)\/p)**(-47)\/((p**(-5)*p)\/p**(2\/9)))**(-21) assuming p is positive.\nAnswer: p**(-1253\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6 + 6 + d)*(0*d - 4*d + 6*d) + (4*d**2 - 5*d**2 + 3*d**2)*(-3 + 13 - 9)*(-4 + 1 + 5))*(-2 + 0 + 1) to the form a + x*d + r*d**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 + 73*t - 258. Let y be r(4). Factor 0 + 1\/3*q**y - 8\/3*q.\nAnswer: q*(q - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -3, -3471, -8, -4.\nAnswer: -3471, -8, -4, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (58\/(-4) + -2)*2. Let u = -22 - s. Suppose w = -3*w + 176. What is the greatest common factor of w and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l**(1\/23)))*l)\/(l**(-5\/6)*l) assuming l is positive.\nAnswer: l**(259\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c. Let q(s) = -69*s**2 - 14*s - 7. Let a(z) = 2*z - 16*z**2 + 39*z**2 + 3*z - z + 2. Let u(v) = -7*a(v) - 2*q(v). Determine p(u(w)).\nAnswer: -92*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o - 10 + 2*o - 9 + 0 + 0 + 2*o + (-4 + 5 + 0)*(-3 + 3 - 2*o) - 2*o + 4*o - o + 3*o + 4*o - 4*o to k*o + s and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 14, u: 1}. What is prob of picking 3 t?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-3*r + 12 + 2*r - 8).\nAnswer: -r + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1478*v**3 - 1417*v**3 + 216*v**3.\nAnswer: -2679*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*b - 193*b + 1224. What is the smallest common multiple of b and 476?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*h**2 - 32*h**2 + 66*h**2 - 216*h)*(-9 - 17 + 4)*(h - h - h**2)*((-3 + 3 - 2*h)*(-3 + 1 + 1) + (3*h - 3*h + 2*h)*(-1 + 2 + 1)).\nAnswer: -132*h**5 - 28512*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 58\/3*d**2 + 16\/3 - 52\/3*d - 2\/3*d**4 + 2\/3*d**5 - 22\/3*d**3 = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59396567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 13379 and 13379 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 74, 167, 298, 467, 674?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*((-3*sqrt(90))\/sqrt(9))\/(sqrt(45)*5).\nAnswer: -3 - 6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41.05933 + -0.05933. Sort -3, -0.042, g in decreasing order.\nAnswer: g, -0.042, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0311991 to three decimal places.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**5\/60 - 5*x**4\/24 + x**3\/6 - 36*x**2 + x. Let g(k) = -5*k**2 - 21*k + 22. Let c be g(1). Give b(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.1, 7123\/5, 0.03?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 538686.4 micrograms to milligrams.\nAnswer: 538.6864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 607 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*o + 30, 2*o - o + 4*q = -21. Let c = o + 15. Solve -2*w - c = -0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 921 = -1083. Suppose -178*y + 16 = -r*y. Solve -5*s = 3*j - y, -5*j + 10*j - 3*s = 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3605806685 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**3*g*o*w**2 + 22*c**3*o**3*w**2 - c**2*g*o**2*w**2 - 18*c**2*w - 2*c*g*o**3*w**2 - 2*o**3 wrt c?\nAnswer: 18*g*o*w**2 + 132*o**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4 = 22. Solve 0*s = -3*s + o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 979610 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4, 4\/39, 2\/13, 2\/7?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -621 - -620.9715. Let n = 0.02408 + x. What is n rounded to 4 dps?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4*x - 44 = 0, -2*p + 4669*x - 16 = 4673*x for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from jxjpccczxxxeccc.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1) + 11 + -8 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(102)*-1 + sqrt(102) - -2*sqrt(102)*-1)\/(sqrt(486)*2*-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-1)*2*1\/4*2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(832) + -3*(sqrt(832) + 1)) - ((-5*(2 + sqrt(832)))**2 + 1)) + -1 + 0.\nAnswer: -20884 - 704*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226016?\nAnswer: 2, 7, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/((-21600)\/(-645)) + 4\/(-18)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2288 + 2288 - 2930*j)*(-3 + 4 - j**2 - j**3 - 2).\nAnswer: 2930*j**4 + 2930*j**3 + 2930*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29.68 + 29.6799994353. What is g rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*2\/(-8)*-1. Suppose j = -6*p + 5*p, 5*u - 360 = 2*p. Calculate the greatest common divisor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169 = -19*j + 36 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136)\/18 - (42\/(-27) - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**14*f)*f\/(f\/((f*f\/(f*f\/f**(-10)*f*f*f))\/f)))**(-33) assuming f is positive.\nAnswer: f**891","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5297*j + 1. Let l be y(2). Suppose 0*u + 2*u = -32586. Let n = u - l. What is n rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1207340 and 206329.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -615.\nAnswer: 4\/615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s - 15. Let m(g) = -g + 4. Let q(i) = 15*m(i) + 4*n(i). Let z(d) be the third derivative of d**4\/12 + 5*d**2. Give z(q(w)).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 68364.\nAnswer: 68364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -1\/300*j**5 + 1\/15*j**4 + 14*j**2 + 0*j + 0 - 8\/15*j**3. What is y in i(y) = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s. Let g(b) = 5*b. Let t(c) = -5*g(c) - 4*o(c). Let q(k) = k - 4. Let z(i) = -i + 7. Let m(v) = 7*q(v) + 4*z(v). What is m(t(a))?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 15) to base 4.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 641158 and 2870.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 - -270456095689?\nAnswer: 270456095688.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*f**4 + 6*f**4 + 19*f**2 - 36*f**2 + 4*f**4 wrt f?\nAnswer: 360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -11*s. Let k(l) = -11*l. Let j(o) = -2*i(o) + 3*k(o). Is j(-2) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 + -23. Calculate the remainder when 38 is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 306608\nAnswer: -30660.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -69072 divided by 48?\nAnswer: -1439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -543006 - -130?\nAnswer: -542656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 165*t**3 - 83*t**2 + 34691*t?\nAnswer: 990*t - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 10:44 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -18. Let m be -5 + 0 + p + -2. Sort m, 3, 2 in decreasing order.\nAnswer: 3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32558 and 292?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*4 + -1 - (sqrt(50) + sqrt(2450))**2.\nAnswer: -3201 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 181393 = -45790 + 94302. Does 117 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*n**4 - 126*n**3 + 594*n**2 - 1242*n + 972.\nAnswer: 2*(n - 3)**3*(5*n - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 - 20*n + 9. Let i = -57 + 47. Suppose -19 = -3*h - 1. What is the remainder when u(i) is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366857 to the power of 1\/2, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7769, 7675, 7493, 7181, 6697, 5999?\nAnswer: 5045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0904645 rounded to 4 dps?\nAnswer: 0.0905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27474bd + -3?\nAnswer: -27474c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-one halves of a kilometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2 + 8 = 0. Let w = i + 2. What is the remainder when 13 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 156, 2, -907 in decreasing order.\nAnswer: 156, 2, -5, -907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 27. Let h(l) = -l + 56. Determine 5*b(u) + 2*h(u).\nAnswer: 3*u - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**6\/120 - h**3 - 2. Let r(z) be the third derivative of o(z). Let a(j) = -3*j**2. Determine r(a(t)).\nAnswer: -27*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23185, -23356, -23527, -23698, -23869?\nAnswer: -24040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*g**5 - 50*g**3 - 34995*g wrt g.\nAnswer: 420*g**3 - 300*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.089 times -247383\nAnswer: 22017.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -6 + 25. Let s = 440 + -1857\/4. Find the common denominator of s and a\/(-2) + (-1)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02897637 minus 97.74?\nAnswer: -97.71102363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Express (z + z + z)*(0 + 0 - 2)*(-121*z + 0 + 127*z + 2) as q*z**2 + g + h*z and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -20*j + 1478. Give l(73).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 6. Let t be v(2). Let n(h) = -36*h**3 - 4*h - 3. Is n(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(255)\/sqrt(5))\/sqrt(3) - (sqrt(17) + 2 + -4))**2*-2.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q**3 - 151 - 14*q**2 + 160*q**4 + 40*q**2 - 26*q**2 wrt q?\nAnswer: 640*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 157 + -289?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*d + d + 44*d to k + s*d and give s.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 21704.\nAnswer: 130224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*m - m + 110, s - 3*m = 35. Let i = s - 46. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 113, 120, 127, 134, 141?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 32*l + 58. Let w be u(-21). Calculate the greatest common factor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5 - 1 = 0. Let b(h) = -94*h + 8. Is b(s) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 11*h**2 + h. What is the least common multiple of 9 and s(1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1400)*5 + sqrt(14))\/(sqrt(2) + (-4*sqrt(8))\/sqrt(4) + sqrt(2)))*-4 + 2.\nAnswer: -10 + 102*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 309*o + 2 = 305*o, -4*x + 3*o - 27 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - -1001001?\nAnswer: 1000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 43 = -11*k + 4*b, 2*b = -2*k + 10. Solve -a = v + 9, -v + 2 = k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 2)*(-1)\/1. Which is greater: p or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 123, 131, 143, 159, 179, 203, 231?\n\"Answer: 2*b**2 + 2*b + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-10))\/(5\/(-4)*1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (224\/128)\/((-14)\/(-16)). Let b(n) be the second derivative of 0 + 7\/6*n**4 + 0*n**3 + 11\/2*n**s - 12*n. Differentiate b(u) wrt u.\nAnswer: 28*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 310 (b) -3\/4 (c) -0.2 (d) -2 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = 5. Let i(n) = 10*n - 15. Let m be i(8). Suppose 2*o + m = 3*l, 5*l + 5*o - 59 = 41. Calculate the highest common divisor of w and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18733037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 14, -84, 0, -15, -11 in decreasing order.\nAnswer: 14, 1, 0, -4, -11, -15, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.8 + -3. Let u = -461 - -461.4. Sort 2, -5, u, x.\nAnswer: -5, x, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -436*u + 50976. Give n(117).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*v + 36 = 494*v - 3*o, 0 = 4*v - 4*o - 72 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 1. Calculate the least common multiple of 17 and v.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00181169 to 5 dps.\nAnswer: -0.00181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 147342775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - h - 304 = 2*n, n - 3*h = 112. Let a = n + -38. Suppose -a = -3*t + 106. Calculate the highest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 32) + -93 + 145 + 21.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*p - 3*k + 15, 2*k = 0. Let v(m) = 11*m. Let q(r) = 14 - 14 - 6*r. What is p*q(g) + 3*v(g)?\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1120 - 498. Let t = b - 3721\/6. Which is bigger: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 2*f - 7 + 0*f - 2*f**2)*(2 - 3 + 3).\nAnswer: -4*f**2 - 2*f - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/4*(-360 + (-8)\/(-4)) is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -11*l**2 + 136*l - 34. Calculate the remainder when 596 is divided by j(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 0, -3, 2, -5937.2 in descending order.\nAnswer: 2, 1, 0, -3, -4, -5937.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + (sqrt(209) - sqrt(209)*-2) - sqrt(209))\/sqrt(11) + (-4*sqrt(38)\/sqrt(2) - sqrt(19)) - (-2*sqrt(228)*4 - sqrt(228))\/sqrt(12))**2*-1.\nAnswer: -931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -11*s - 1. Let u(a) be the first derivative of 1\/2*a**2 + 0*a - 202. Give m(r) + 4*u(r).\nAnswer: -7*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 7. Suppose 0 = -a*y + 121 + 17. What is the remainder when y is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (10 + 9) - -20.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 m when four letters picked without replacement from qqqqqqqqqmqdwwq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-2 + 11) - -10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + r**2 + r - 5. Give z(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*d - 2 = -6, 5*d = -2*l - 4. Solve u - l = -5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1 = -5. Let r(o) = 13*o + 13. Let m be r(-2). Let y be -1 - 37\/m - (-36)\/234. Solve y*k + 3*u = -1, 0 = -t*k + 3*k - 5*u + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 739 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, r: 3, x: 7}. Give prob of picking 4 m.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*y + 1146 + 1313 = -1015 + 1014 for y.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4)*(-12)\/42. Let n = -3.99 - 0.01. Put u, -0.4, n in ascending order.\nAnswer: n, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**4 + 144*r**3 + 11809*r**2 + 34104*r = 0?\nAnswer: -56, -3, 0, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31571*k*m**4 - 2*k*m**2*v**2 - 75*k*m**2*v + 225*k*m**2 - 8*m**3*v**2 wrt m?\nAnswer: -757704*k*m - 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139 - -40. Let l = k - -191. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11568)\/16 - 0\/(-3 + 1). Let k = q - -1193. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15339*p**2 + 14709 wrt p?\nAnswer: -30678*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*b + 786 - 2786, 5*b = -25. Let g = -658 - k. What are the prime factors of g?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -40?\nAnswer: -3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -13*j + 9*j + 14, 0 = -4*j - 5*i - 21. Let d be (4\/3)\/((-4)\/(-42)). Suppose 0 = -0*z + 2*z - d. Calculate the highest common factor of z and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61741\/410 - -753\/5. Let y = f - 661\/410. Let j = 3\/58 - 143\/522. Put y, j, -0.3 in decreasing order.\nAnswer: j, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3958 - 118699\/30. Calculate the common denominator of (-22)\/(-66) - (-3)\/(432\/(-957)) and o.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(((-11505)\/(-236))\/(-195))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(70)*-5*-4)\/(sqrt(80)\/(sqrt(8) - sqrt(16)\/sqrt(2)*6))*1*-2*-5)**2.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 9*h + 4. Let p be g(-3). Solve -68 = p*s - 48 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11917, -24599, -37281, -49963, -62645?\nAnswer: -75327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4512\/27 - 14\/126. Suppose 5*f - 608 - r = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35643835?\nAnswer: 5, 7128767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + -5*(sqrt(5) - (sqrt(45)\/(sqrt(18)\/sqrt(2)) + sqrt(5))) + -3 + -5 + (sqrt(25)\/(sqrt(5) + sqrt(80)))**2 + ((-1*sqrt(30))\/sqrt(6))**2).\nAnswer: -25*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -729*j**2 - 13134*j - 217. Give n(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 187844, 1.6, -4?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 1:11 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-43)*2\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -264380.58 rounded to the nearest 100?\nAnswer: -264400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/13 - 1038*i - 13492\/13.\nAnswer: -2*(i + 1)*(i + 6746)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 1\/3 (c) 26100 (d) -2 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-2*m + 0*m + 0*m) - 3*m + m + m + (0 + 3 - 5)*(0*m + 3*m - m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3713066513?\nAnswer: 13, 37, 7719473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 8*h**2 - 87*h - 4. Determine c(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*b + 1 = -2*l, 5*l - 40 = b. Solve -3*p = l*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/(-25))\/((-2)\/(-5)). Let r = 6 - 4. Sort r, v, 3.\nAnswer: v, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08553 to 3 dps.\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3 + (3 + 0 - 1)*(-3 + 3 - 2))*(-19*o**4 - 6*o**4 + 55*o**4)*(-3 + 4 + 0).\nAnswer: -150*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + sqrt(7)*2 + sqrt(7) - sqrt(7))**2.\nAnswer: -40*sqrt(7) + 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grggggrggggg. What is prob of picking 1 r and 2 g?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.1 in -1815, -5, 0.5, 81?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**5 + 180*m**3 - 11*m**2 - 4*m wrt m.\nAnswer: 60*m**2 + 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 2:04 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(3 + 2 + -1*sqrt(125) + sqrt(125) + sqrt(125) + -1)**2.\nAnswer: 80*sqrt(5) + 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4 + 1209*c**3 + 3516*c**2 - 33600*c = 0. Calculate c.\nAnswer: -400, -7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23641447*u**3 + 3480050*u - 3?\nAnswer: -141848682*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is a1 (base 13) in base 4?\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/8*-14)\/(-1) + 4. Let c be 2*(k\/1 + 2). Let n(q) = 2*q - 9. Let g be n(6). Sort g, c, 2, 4 in increasing order.\nAnswer: c, 2, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 188 and 14.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 7. Put -4, -0.3, n in descending order.\nAnswer: -0.3, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 2*o**2 - 5*o**2)*(124*o - 3*o**2 - 124*o).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 85 - 2857. Suppose 0 = 5*b + 3*r - 2010, 4*r + 311 = 3*b - g. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 7*f**2 + 6*f + 2. Let k = -74 - -50. Let s = -425 + 406. Let h = s - k. Give r(h).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -427545*r + 230662 wrt r.\nAnswer: -427545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -155 + 154.9429. Let t = -0.4429 + o. What is the smallest value in t, 3\/2, -2, 1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a decade in years?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 20, 5 in decreasing order.\nAnswer: 20, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(102) - 1*sqrt(102)) - sqrt(102))\/((2*sqrt(54))\/sqrt(9)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 7. Let p = 0 + 6. Let h be c(p). Suppose h*r + 3*n - 46 = 0, -n - 2 = 1. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 65529, 524153, 1769017, 4193241, 8189945, 14152249, 22473273?\n\"Answer: 65520*b**3 - 16*b + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7c8b77 (base 15) to base 8\nAnswer: 26552310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1292\/170 + -4*2\/(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227.666 years to millennia.\nAnswer: 0.227666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, d: 13}. What is prob of sequence ddii?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 672 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/((-48)\/(-320)*5).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/4 (b) -4 (c) 28636\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**5\/60 + o**4\/12 - o**3\/6 + 85*o**2. What is t(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*x**5 + 31*x**3 + 2905534*x**2 - 10194*x - 2905534*x**2 wrt x.\nAnswer: 220*x**3 + 186*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3346225 (base 7) to base 2.\nAnswer: -1100101010110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.6 + -17.9. What is the nearest to -3 in -1, 11, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from {a: 1, m: 4, o: 4, w: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2079 and 68\/167423949.\nAnswer: 167423949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b = 11*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2770, -22027, -74222, -175825, -343306, -593135, -941782, -1405717?\nAnswer: -2001410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5553\/4 or 1389?\nAnswer: 1389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(243) + -1 - sqrt(243) - sqrt(243) - sqrt(243) - sqrt(3)) + (sqrt(27)\/(sqrt(27)\/sqrt(3)) - sqrt(288)\/sqrt(6)).\nAnswer: -22*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*t**2 + 4700*t - 5005*t - 2 - 31*t**2 - 3*t**3 in the form r*t**2 + y*t + k + h*t**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Suppose -c = g*c. Let o(m) = -m**3 + 3*m**2 + 3*m + 4. Let a be o(4). Is a greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-36))\/(1\/40*-1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**0)**(21\/5) assuming p is positive.\nAnswer: p**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 81 - 54. Let c = l + -11. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 90.06, -1, -1\/2, -2\/7, 0.5, 11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.13998 - 0.1385326. What is w rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 64*q**2 + 110*q - 33. Let n be a(-61). Is 8841\/2 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrym when four letters picked without replacement from xvrxgmy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00461959 rounded to five dps?\nAnswer: 0.00462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3210 rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhuhhhhhu. Give prob of sequence uu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (175\/100)\/(1*3\/(-12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4031.64 years in months?\nAnswer: 48379.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ktt when three letters picked without replacement from {k: 1, i: 1, l: 4, y: 4, t: 6}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3021 divided by -4.\nAnswer: -3021\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -10. What are the prime factors of (2 - 4)\/(d*6\/1431)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*a - 110*a - 23 = 43 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-43)\/(-129) - (-3)\/(-9). Solve -20*v + 19*v = k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.53 and 0.56.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -21. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 836502789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 27. Suppose 0 = -h*q + 4*q. Suppose -5*j + 122 = y - 60, 3*j + 5*y - 118 = q. What is the remainder when j is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0448 + 0.04479737. Round h to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -175938 (base 10) to base 5.\nAnswer: -21112223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**4\/20 - 7*g**3\/15 + g**2\/5 + 8*g + 2616. Let z(o) = 0. Calculate o.\nAnswer: -2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 1445*d**2 + 344*d + 20. Let r(y) = -2890*y**2 - 689*y - 40. Let t(o) = 9*p(o) + 4*r(o). Suppose t(n) = 0. Calculate n.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35159038 divided by -6\nAnswer: 17579519\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**4 - 4*t**3 - 24*t**2 = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1383*y + 5569. What is p(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -668\/121 or -5?\nAnswer: -668\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -4, 0.9024, 1, -2\/9, -6\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 395284, 395273, 395260, 395245, 395228?\n\"Answer: -s**2 - 8*s + 395293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12443\/3 or 4147?\nAnswer: 4147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 4 = -5*r, -3*t - 2*r - 2 = 0. What is the biggest value in -1556, -3\/7, t?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*r + 86*r - 45*r + 58*r.\nAnswer: 167*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -214.193146 rounded to two decimal places?\nAnswer: -214.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**3 + 87*u - 87*u.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 520 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 24.6 times 399317\nAnswer: 9823198.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 322402095 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.941 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*6\/72*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 0*s**2 + 2*s**2)*(-3*s**2 - 3*s**2 + s**2) + 2*s**4 + 3*s - 3*s - 38*s**3 + 28*s**3 + 2*s**4 - 3*s**3.\nAnswer: 14*s**4 - 13*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - (10 - 27 - -13 - (-1 - -6))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t + 5*t - 5*t)*(3*t**3 + 3*t**3 - 5*t**3 + (-t + 0 + 0)*(-2*t**2 + t - t)).\nAnswer: 24*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1068338 to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*-134\nAnswer: 4.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*w + 798*l - 797*l, -1 = -w + l. Let o(q) be the first derivative of 2*q**2 - 13*q + 4. Calculate o(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 + -179. Let c = g + 100. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2470 + 792*p - 365*p - 426*p to l + y*p and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1803124 times -25?\nAnswer: 29.50781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -x - 677, 3*x + c - 3*c + 2059 = 0. Let t = 6841\/10 + x. Let g = -458197\/18 - -25447. Find the common denominator of t and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74986545 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3) + 53\/3. Let t = p + -13. Factor -3*k**t + 6*k**3 + 2*k**3 - 3*k - 2*k**3.\nAnswer: -3*k*(k - 1)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -10*l. Suppose 2*s - 1 - 45 = l. Calculate the remainder when s is divided by -16*((-7)\/4 + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 122 * 2.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 997*w - 1344*w - 19779 for w.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert d5 (base 14) to base 7.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(900) - (sqrt(900) - 1*sqrt(900))) + sqrt(9))\/(sqrt(48)*4))**2 + 5 + (1 + 0 + sqrt(75))**2 + -2.\nAnswer: 10*sqrt(3) + 21867\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**2 + 116*j - 234. Calculate u(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 58288700, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4\/11, 6\/7, 8, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 38\/12)\/(9\/12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49\/5*l**3 - 42*l**2 + 57\/5*l - 4\/5.\nAnswer: (l - 4)*(7*l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffff. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - (sqrt(637) + -2 + -3) - (sqrt(637) + 0 + -5))**2.\nAnswer: -140*sqrt(13) + 737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.107 + 1.893. Which is the nearest to 1\/2? (a) q (b) 0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-5))\/(16817\/335). Is 1 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 24 = 2*o. Suppose -3*i = -3*l - 63, -5*i - 5*l + o*l = -81. Let t = i - 15. Solve g = 4*g - t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -549 + 554 - -6*4?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25093695 is divided by 1792406?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**5 - 111*p**4 + 3239*p**3 - 28289*p**2 - 3240*p + 28400 = 0.\nAnswer: -1, 1, 20, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - w, 239*m + 5*w = 241*m + 17 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 1. Let t(m) = -4*m**2 + 12*m + 12. Suppose 7*i = g + 4*i - 5, -5*g - 2*i - 9 = 0. What is g*t(o) + 12*p(o)?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*o = -0*u + 4, 3*u + 2*o = 10. Suppose 8 = u*h - 6. Suppose -6*g + 10*z = 9*z - 2, -2*g + 3*z = 10. What is the highest common divisor of h and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 5, -42, -8, -16, 0 in decreasing order.\nAnswer: 10, 5, 0, -8, -16, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 h when three letters picked without replacement from {h: 3, i: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3 = -21. Suppose -10*l = -f*l. Suppose 4*m + 3*i = -i + 144, l = 5*m - 2*i - 208. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**6\/180 + 2*v**5\/15 - v**4 - v**3\/3 - 169*v**2\/2 - 40*v - 2. Let m(s) be the second derivative of t(s). Factor m(b).\nAnswer: -2*(b - 6)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 12. Let k be b(24). Let m be ((45\/k)\/(-5))\/(2\/8). Solve m*g + 14 = -4*c, 11 = 3*g - 3*c + 2*c for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*sqrt(77))\/(sqrt(704) - sqrt(11)) + -4 - (sqrt(28)\/(sqrt(4) + sqrt(64)) + 4 - sqrt(49)\/(sqrt(56)\/sqrt(72))))**2.\nAnswer: -768*sqrt(7)\/35 + 13504\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-34)\/1785*7 + (-79)\/(-30). Which is the nearest to 0.1? (a) m (b) -0.02 (c) -2\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61*(-73)\/8906*(-5)\/(10\/(-72)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2342*b + 18 = -4640*b + 2321*b - 28. Factor 0 + u**b + 11\/5*u.\nAnswer: u*(5*u + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/8)\/((-250)\/40 + 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1 = l - 1, 2*l - 4 = -z. Let c(s) = 1. Let o(t) = 5*t + 1. Give l*c(p) - o(p).\nAnswer: -5*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 51 = 36. Let r(f) = 2*f**2 - 9*f - 8. Is r(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1472278 + -83?\nAnswer: 1472185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -44, -60, -74, -86, -96, -104?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 3. Let u(d) = 2*d - 4. Let b(p) = -4*t(p) + 3*u(p). Let i(x) be the third derivative of x**5\/30 + x**2. Determine b(i(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1771993 times -5\nAnswer: 8859965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1589 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 31317 and -37.5291.\nAnswer: 31279.4709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 12*q**5 + 21*q**4 - 66*q**3 - 57*q**2 + 18*q = 0.\nAnswer: -3, -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105) + 5*(sqrt(105) + (-5*sqrt(105) - sqrt(105))) - sqrt(105) - sqrt(105))\/sqrt(3)*3)\/((2*sqrt(3136))\/(4*sqrt(7)*-2 + sqrt(7))).\nAnswer: 273*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 12 = v - 3*h, 2*v + 703*h + 7 + 16 = 700*h for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -296264195 or -296264194?\nAnswer: -296264194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*v**4 + 45659*v**2 - 276313428.\nAnswer: 184*v**3 + 91318*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.1291 (b) 0.1 (c) 0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*x**5 - 2*x**5 + 7*x**5 + 0*x**5 + (-2*x**4 - x**4 - 2*x**2 + 2*x**4)*(0*x + 0*x - x).\nAnswer: 4*x**5 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 191346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3.5. Let y be -8*10\/(-4) + -8 + 9. Let z be 1\/y - (3\/9 + 0). What is the nearest to 0.1 in 0.2, z, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -1. Let i = -15798 - -15794. What is the smallest value in t, 0, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.14\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/(-4)*-4*(6 + (-190)\/30). Suppose 0 = -m - f + 6, 5*m - 37 = -0*f + 2*f. Calculate the greatest common factor of m and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * -27.\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 r when two letters picked without replacement from {c: 2, r: 2, v: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, m: 1, j: 1}. What is prob of sequence mj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30192*a - 10086*a - 10096*a + 27*a**2 - 10010*a.\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 168750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 5:16 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 10, -9*m + 6*m - 5*v = -34. Is -8 - (1 - m - 415) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 8*s**2 + 9*s + 4. Let i be t(7). Suppose 80 = 11*d + 25. Solve -d*b = y + 10, 2*y - 4*b = 4 + i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1312*g + 1294*g - 2608*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1444513 and -53\/86888.\nAnswer: 11556104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Let x = 60\/469 + -2318\/10787. Which is the smallest value? (a) 3 (b) j (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 617 = -4*h - h, -5*x + 15 = 0. List the prime factors of h.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -14544.\nAnswer: 1\/3636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 41*n - 153. What is the tens digit of l(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3882733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/32, -8, 0, -33 in increasing order.\nAnswer: -33, -8, 0, 1\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -298858\/11 or -27170?\nAnswer: -27170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 7:45 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22622 (base 9) to base 16.\nAnswer: -3aee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*n**3 - 825*n**2 - 4715*n - 7935 = 0.\nAnswer: -23\/3, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 6 - 16 = -5*s, -3*b - 46 = 5*s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 2*f**6\/45 - 2*f**5\/5 - f**4\/3 + 104*f**3\/9 - 40*f**2 + f - 49. Factor t(m).\nAnswer: 4*(m - 5)*(m - 2)**2*(m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 + 4*c**2 - 3*c - 3. Suppose 0 = -5*z - 21*z - 130. Let j(a) = 3*a**3 - 5*a**2 + 4*a + 4. Determine z*u(o) - 4*j(o).\nAnswer: -2*o**3 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -133 * -174\nAnswer: 23142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 + 2*k**2 + 0*k**2 + (3*k - k - k)*(-k + 4*k - k) - k + 2*k**2 + k - 4*k - 13*k + k - 2*k**2 to v*k**2 + g*k + y and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8*h + 48. What is the least common multiple of 6 and d(-3)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 2 (c) 3 (d) -1.8049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 10:54 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/13)\/(l*l*(l\/(l\/(l**21*l)))\/l) assuming l is positive.\nAnswer: l**(-298\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -11*m - 3. Suppose 4*y - y = 21*y + 47*y. Let q(p) be the third derivative of 20*p**2 + 0 + 0*p**3 + 0*p**4 + y*p + 1\/60*p**5. Calculate f(q(b)).\nAnswer: -11*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38028576.6us in weeks?\nAnswer: 0.0000628779375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8022124 or -8022125?\nAnswer: -8022125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -86? (a) 2\/65 (b) -5\/4 (c) -3\/2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 436 in -0.1, 4, -2\/3, 0.3, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -128*d + 117*d. Sort d, -2\/15, 0.2, -1 in descending order.\nAnswer: d, 0.2, -2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 1. Let n(f) = f**3 - 7*f**2 + 5*f. Let x be n(6). Let p = -7 - x. Let t(k) = -2 - 11 + 9*k + 5 - 4. Determine p*t(b) + 12*d(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k - 2*k - 2*k. Let o(s) = -s + s + 0 + 0 + 2*s. What is o(q(n))?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*m**3 - 12 + 20 + 2*m - 8.\nAnswer: -174*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-43 - (-17 + 15) - -10) + (-1 - 0)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1053015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*k - 5*g - 4, -3*k = 3*g - 9. Suppose 6457 = k*q - 2785. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**3 + 8 + w**3 - 8.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 231592990 rounded to the nearest 1000000?\nAnswer: 232000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - 102466005260.3?\nAnswer: -102466005272.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1083, 3392, 9361, 20724, 39215, 66568, 104517?\n\"Answer: 289*b**3 + 96*b**2 - 2*b + 700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -h - 2*h, 3*u + 2*h = 5. Suppose u*r = -3*r + r. Suppose 2*l - 59 = 9*v - 4*v, 5*l + 4*v - 131 = r. What is the remainder when 77 is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3023 divided by -50?\nAnswer: -3023\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5470814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 46 = -5*g. Is 23 != g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/2 - 83215*n**2\/2 + 166437*n\/2 + 249651\/2.\nAnswer: -(n - 3)*(n + 1)*(n + 83217)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.03 - 0.03. Suppose 0*k = 9*k - 9. Sort d, k, 1\/5.\nAnswer: 1\/5, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2343\/13 (b) 5 (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v + 3*s + 9, v - 22 = 4*s. Let i be v\/(-1) - (-3 + 1335\/(-3)). Suppose -51*u + 49*u = -i. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2\/6 - 657343*x\/3 - 432099819649\/6 = 0. Calculate x.\nAnswer: -657343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 18*w + 6. Let i be 18*(8 - (8 + -1)). Give f(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**5\/60 + z**3\/2 - 4*z**2 - 11*z. Let t(v) be the first derivative of g(v). Find the first derivative of t(q) wrt q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*y + 46, -c + y = -3*y - 23. What is the remainder when 67 + (4\/(-26) - (-55)\/(-65)) is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5052036 to 2 decimal places.\nAnswer: -1.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7933 <= 39671\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 40. Which is the nearest to 1? (a) i (b) 0.4 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/(y*(y**(-39)*y)\/y)*y*y*y**(-1\/4)*y**15\/y**(-1\/5) assuming y is positive.\nAnswer: y**(1139\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 41?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17569357*l - 2*l**3 + 11*l**3 + 8784678*l + 8784679*l.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 113 - 7?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 - 1.2. Let q be (-42)\/(-3) + (-219)\/15. What is the third biggest value in d, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -857*s**4 + 2571*s + 5*s**2 - 2*s**5 - 861*s + 1818*s + 294*s**4 + 452*s**4 wrt s?\nAnswer: -40*s**3 - 1332*s**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/24))\/l**(-3\/2) assuming l is positive.\nAnswer: l**(61\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (63\/84)\/(6\/16). Find the third derivative of -i*f**6 + 95*f**3 + 6*f + 2*f**5 - f**2 + 92*f**3 - 187*f**3 wrt f.\nAnswer: -240*f**3 + 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -227\nAnswer: 5\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {h: 2, v: 9, f: 3, m: 4}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 47. Suppose i = -0*i + g. Suppose z = -2*s + 85, 3*s = 14*z - 16*z + 165. What is the remainder when z is divided by i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2, -0.2, 14, -0.26664, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*d**2 - 2*d**3 - 4301 - 96*d + 4301.\nAnswer: -2*d*(d + 4)*(d + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10\/4*6100\/125 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*v + 19*v = -22*v - 256 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/9*1*-15. Suppose -a*v = -7 - 88. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + r + 2, -r - 4*r + 20 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 4*h**2 + 16*h + 48. Determine c(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 2, -5, -4 in ascending order.\nAnswer: -5, -4, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 631, 516, 401?\n\"Answer: -115*s + 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5 = -2*b. Let f = -306 - -29. Let n = 277.4 + f. What is the nearest to 1 in b, n, -10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 12 = -2*r + 4*r - 5*k, -2 + 7 = -2*r + 3*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*h - 17993 = 0, 25*h = -4*x + 21*h + 72084. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*l + 65 = 0, 3*a + 2 = -l + 49. Let k(q) = 17*q**2 + 2. Calculate the remainder when k(-2) is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-1)\/2*(-90)\/15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 283045155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 11:42 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30.5 - 30.7. What is the smallest value in 12, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 + 9 - (2 + -29). Suppose -o + 4*o = -d + n, -72 = -4*d - 2*o. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 49 = -5*p, 21*p + 25 = -u + 18*p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -20, 2*z - d = -5*z - 47 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*4\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6768908.200077 + -6768966.2. Let o = 58 + n. What is o rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 = -0*r. Suppose 0*w = -r*w + 10. Suppose 2*q + w = 21. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55369, 55370, 55373, 55378, 55385?\nAnswer: 55394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20561809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74164917 to the nearest integer?\nAnswer: 8612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d = -68*d - 112 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -2 (c) -6 (d) 2714 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**8\/112 - v**4\/12 - 2*v**3 - 15*v. Let o(y) be the second derivative of k(y). Differentiate o(m) wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + 0*y + 0*y + (-3 + 3 + 4*y)*(2 - 4 + 1).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 7 + 1 = 0. Let z be (-16)\/6 + i\/(-6). Let m = -131\/2 - -66. What is the second biggest value in z, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**2 + 83141*b + 190897 wrt b?\nAnswer: 6*b + 83141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*u = 7, -h - 17 = u - 6*u. Suppose 4*c + 79 = 4*v + h*c, c = 3*v - 59. Let p = 0 + v. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {p: 1, k: 1, j: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a milligram in micrograms?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17366 - 17046. Is a < 323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/5*(-2402985)\/78. Is (30 - 31)*b\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*b = 3*o - 798, 3*o = -5*b + 804. Suppose o = 4*r - 29. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 210 and -4932139.\nAnswer: -4931929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -326*f + 1734. What is the lowest common multiple of 24 and t(5)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 19*x**2 - 61*x - 13. Let i be v(-15). Suppose -2*q = -20 - 22. Suppose -4*h = -2*f + q - 69, -h + 3*f = -22. Solve -2 + h = -i*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*k = -80. Let w = k - -20. Let h(q) = 2*q**2 + q - 1. List the prime factors of h(w).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -686, -1186, -2792, -6056, -11530, -19766?\n\"Answer: -92*n**3 - n**2 + 147*n - 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 32 = -2*j - 4*m, 14 = -j - 4*m. Let t = -67 - j. Let b = 79 + t. Solve 5*o = -4 - b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33982669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 1. Let u be o(4). Let z be (1 + -3)\/(4\/(-34)). Let a = z - -13. Calculate the greatest common divisor of a and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 4:28 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*s - 134. Let w be (-4)\/(-12) - (-52)\/6. Let b be w\/(-2)*(-20)\/6. What is the greatest common factor of b and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 10:25 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 239107\/(-28) + 5\/(-20). Let h = z + 8532. Calculate the common denominator of 3\/(-12)*(-90)\/8 and h.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3063136 < -3063725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 8:27 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 41*h - 76. Let l be c(2). Let t be l + -4 - (-1 + -1). Solve 3*k = 2*a + 13, -a = 4*k + t*a - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49587518 * -6.\nAnswer: -297525108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 4674 + 8096. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 6*v = 7*v. Solve -2*t + 3*t - 2 = v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02626 rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - i - 4. Let w(z) = 2*z**2 + 3*z + 9. Let q(j) = -j**2 + 13*j - 15. Let o be q(12). Let b be (-14)\/(-3) - 1\/o. Give b*y(l) + 2*w(l).\nAnswer: -l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2\/8 - 3007*f\/8 - 46005\/2 = 0. What is f?\nAnswer: -60, 3067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626914 to the power of 1\/2, to the nearest integer?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 3*q - 3*q)*(-1 + 1 - 2*q**2 + (1 - q - 1)*(q - 5*q + 2*q) + 3*q**2 - 3*q**2 + 2*q**2 + 6*q**2 - 8*q**2 + 4*q**2).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 20 = -4*r, -5*r = 3*y - 8 - 1. Suppose 0 = -2*x - r*x + 160. Is x a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**2\/6 - 141*v\/2 - 854\/3 = 0.\nAnswer: -4, 427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvkr when four letters picked without replacement from dkuudrkuvruurvu?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**3 + 80 - 155 + 90.\nAnswer: -3*j**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2468 + 4508. Calculate the highest common divisor of 102 and i.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 0*x + 4\/3*x**3 - 4\/3*x**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u - 5. Let a(f) = -4*f - 2. Let y(d) = -10*a(d) + 4*n(d). Let o(x) = -2*x. What is y(o(g))?\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**2 + 2*s - 2. Let h(v) = 21*v**2 + 8*v - 8. Let z = 110 + -112. Determine z*h(b) + 9*a(b).\nAnswer: 3*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**4 + 0*n + n**2 + 5*n - 191*n**3 + 189*n**3 to w*n**2 + p*n**4 + l*n + d + u*n**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 41. Let i(r) = -r + 21. Let z(h) = 5*i(h) + 2*m(h). Let l be 1 + (3 + -2 - 2). Does 6 divide z(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/3, -0.12, -0.2, 0.07?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 536 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*m + 79*m - m**2 - m**2.\nAnswer: -2*m**2 + 204*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*x - 10*x - 2. Solve -4 - 29*l + 35*l + 1 - 3*l**x = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31332, -32495, -34434, -37149, -40640, -44907?\n\"Answer: -388*k**2 + k - 30945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 628 = 4*j - 0*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*m - 3*q - 28, -5*q - 53 = -4*m. Solve 0*w + m = 2*b - 2*w, 3*b = -4*w - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.26 (b) -1 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 286 + 0\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 76\/29 in 4, 16, 0.5, 0.4, -153?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61\/22 + 57\/11. What is the common denominator of g and -73\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 + 25*b**3 - 85*b**2 - 105*b.\nAnswer: 5*b*(b - 3)*(b + 1)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188*2.\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, z: 2, b: 5, y: 1, d: 2}. What is prob of picking 1 y, 2 e, and 1 b?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -7954\/25 (b) 0 (c) 4\/9 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*d = 20, -3*d = 3*x + 2*x - 57. Let j = 2 + 1. Let w = 1 + j. Calculate the least common multiple of w and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 = -3*g. Calculate the least common multiple of 9 and g*2 - (-9 + -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16670746 and 21638.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2 + 13*t + 64. Calculate w(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 219*n - 215*n - 9368. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*t**3 - 215*t**3 + 329*t**3.\nAnswer: 401*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5 = -4*a - 2*h, 3*a - 5*h = -2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.321 - 0.466. What is c rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 33160*a**2 - 264995*a + 231840.\nAnswer: -5*(a - 6624)*(a - 7)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*i + 44 = -86 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13843, -10927, -8011, -5095, -2179?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 24*x + 492. Let j be p(12). Put j, 4, -3 in descending order.\nAnswer: j, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 12*i - 11890 = 0. Let m = -20222\/17 + i. What is the common denominator of (-3*132\/(-162))\/((-20)\/(-195)) and m?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44254410 (base 8) in base 15?\nAnswer: -c82592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.7 - -2.7. Which is the closest to -0.1? (a) f (b) 0 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x - 2*x**2 - 7*x - 4 + x**2 + 2*x. Let g be l(-10). Let a = g + 89. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/5 - 7383*v**2\/5 - 449097*v\/5 - 6916317\/5.\nAnswer: -3*(v + 31)**2*(v + 2399)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(13) - ((sqrt(13) + 0)**2 + -4))*6 + -3*2*(-2*sqrt(468))**2.\nAnswer: -11286 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 468 - 192. Find the common denominator of 3\/2*1\/(-9) and j\/352 + (-54)\/144.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3656.4 + 3656. Which is the second smallest value? (a) -0.3 (b) 87 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 17*o + 25. Let a be r(-15). Let s(c) = -2*c + 12. Let t(d) = 2*d - 12. Let u(y) = a*t(y) - 4*s(y). Differentiate u(j) wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23295 is divided by 182?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2))**(-49))**(-30) assuming n is positive.\nAnswer: n**(-2940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -97038099.98 + 182?\nAnswer: -97037917.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-6)*(-3)\/2. Suppose -t*k + 75 = k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -166, -3, -15, -5 in decreasing order.\nAnswer: -1, -3, -5, -15, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 6:58 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -804 + 802. Suppose 2*y = -2*y. Let i be (-2)\/(f + 1) + y. Solve 8 = -2*a, 7*q - 2*q - 33 = i*a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1558661*w + 1558654*w + 1558428*w - 4675742*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -5 - (14 + -7)) + -5 + (-1 - -43).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 7:25 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m - 12319*m**3 + 4*m - 1958*m**3.\nAnswer: -14277*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 447\/157?\nAnswer: 447\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55031, 110094, 165157?\nAnswer: 220220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/21 greater than 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 174589*m + 1222232. Determine i(-7).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - a = -5*l - 9 + 15 - 4, -11*l - 3*a + 22 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/18 and -101\/516.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 7799 = -1853. What are the prime factors of t?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -191 + 114 - 488*i + 77 + 3401*i**4 wrt i.\nAnswer: 40812*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 2:59 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a**2 - 183*a - 28. Let r(m) = 3*m**2 + 91*m + 12. Determine -4*j(d) - 9*r(d).\nAnswer: d**2 - 87*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1. Let s(o) = 2*o**2 - 7*o**r + 3*o**2. Let z(v) = -8*v**2 + 0*v**2 - 15*v**2. Determine s(z(c)).\nAnswer: -1058*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (95 - (-45 + 35)) + -94.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 20445413?\nAnswer: 20445423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/25 (b) -4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44\/6 - 16\/(-24). Let x = b + -3. Solve -4*r + m - x*m = 24, -m - 8 = 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + 0.3. Suppose p + 16 = 2*v, 3*p = v + p - 14. Let n be ((-1)\/v)\/(9\/36). What is the closest to g in -0.2, -2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30.93? (a) -1\/5 (b) -3 (c) 0.175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 14505*i + 145088. Calculate r(-10).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -148 - -597d?\nAnswer: 5835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/425, 5, -0.12, 1, 3\/2 in increasing order.\nAnswer: -0.12, -4\/425, 1, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**10)\/(w*w**(-1\/3)\/w*w*w*w))\/(w\/(w*w**(3\/17)\/w*w))**(-7\/12) assuming w is positive.\nAnswer: w**(-2401\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 13832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 2 + 1)*(0 - 1 + 3) + 0 - 1 + 3 + 119 - 13 - 3)*(k + 3*k - 6*k) as v*k + r and give v.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6435 - 3549 = 1039*n - 415*n for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1*14\/(-133)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -4, -166, 2, 3, 22, -3 in decreasing order.\nAnswer: 35, 22, 3, 2, -3, -4, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1024, 2037, 3032, 4003, 4944?\n\"Answer: -u**3 - 3*u**2 + 1029*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 36223, 72486, 108769, 145072?\n\"Answer: 10*b**2 + 36233*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 times -0.022?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 17 = -2*u, -3*u + 2*w - 3 = -3*w. Suppose u*t + 2*t = -30. Let n be ((-8)\/3)\/(6\/(-9)). Sort 3\/7, t, n in descending order.\nAnswer: n, 3\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 2*z + 3 + 0*z + 0. Let h be ((-10)\/(-4))\/((-2)\/(-4)). Let v(y) = 3*y + 7. Let f(o) = h*b(o) - 2*v(o). Determine f(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - (27 + -11)) + 17 - (1 - -3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/15*(33\/24 + -2).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*q - 5075205 = 3145107. List the prime factors of q.\nAnswer: 19, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2183?\nAnswer: 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116834 is divided by 2596.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n + 1003 - 1003.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 4159056?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -107 + 169 + -54 - (0 + 33 + -1)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 1. Let o be y(1). Suppose -m + r + 0*r + 14 = o, -4*r - 36 = -2*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 5530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, j: 2}. Give prob of sequence jkk.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9284 by -4.\nAnswer: 2321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 3\/(6\/20). What is the third derivative of -4 - 5*s**2 - f + 14 - 3*s**5 wrt s?\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 3*y + 5. Let l be i(7). Let c be (-4)\/(-24) + l\/(-6). Solve -c*g - u - 2 = 0, -3*u - 2 = 3*g - 2*u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 368883367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**3\/6 + 3*x**2 + 5*x. Let r be j(3). Solve -4*t + r*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 609\/2 - 304. What is the closest to -2 in 1\/7, 0.1, i, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 171331580.7s?\nAnswer: 283.28634375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 12315.6747ns?\nAnswer: 0.00000000014254253125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 (base 13) in base 9?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -291 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u + u + 5 - 12*u.\nAnswer: 4*u + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7)\/u)**(11\/3)\/(u**3*(((u**(-4)\/u)\/u*u)\/u*u)\/u) assuming u is positive.\nAnswer: u**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 104 + 269\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.7? (a) 1\/9 (b) -2 (c) -159 (d) -7.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u**2 + 6\/11*u**3 + 0*u + 2\/11*u**4 + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7081, -17932, -28779, -39622, -50461, -61296, -72127?\n\"Answer: 2*p**2 - 10857*p + 3774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/2)\/((-6)\/48). Let m = -4 + 4. Solve m = -j + 3 - p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -46. Suppose 3*g = -2*f + 8, 4*f + i*g = 9 + 7. Factor 7*b**4 - 3*b**f - 16*b + 14*b**5 + 16*b.\nAnswer: 2*b**4*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-1)\/248)\/((-3385)\/16248).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + y + 1. Let z = 7 - 6. Suppose k + 19 = z. Let v(q) = -8*q**2 + 9*q + 8. Calculate k*t(l) + 2*v(l).\nAnswer: 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74917089 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 160*q**2 - 309*q - 8. Let t be u(2). Solve -2*r - 55*f = -59*f + t, 4*r = -5*f - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.7, -0.3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7665, -15379, -23093, -30807, -38521, -46235?\nAnswer: -53949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hahaahaa. What is prob of sequence hhah?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mawkwvmmmkskvwmskm. Give prob of sequence mwm.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-26) + (-144)\/(-78). Suppose -5*h = -3*i - 158 - 65, h + v*i = 42. What is the units digit of 888\/44 - 8\/h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 2 + 2)*(-3*o**2 + o**2 + 0*o**2) + (11*o**2 + 7*o**2 - 7*o**2)*(-1 + 1 + 2*o)*(5 + 5 - 1) to m*o**3 + y*o**2 + h*o + d and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -292 by -2.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -6*o + 11, 49*o + 4*y = 53*o - 24 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 30, 3, -5 in increasing order.\nAnswer: -5, 1, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/5 (b) 2\/7 (c) -0.11 (d) -0.1 (e) 0.3577 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 260, -26, 654, 1.\nAnswer: -26, -24, 1, 260, 654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9975 and 609.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -4*c + 5*u, -u - 100 = 5*c + 4*u. Let y(p) = -p**3 - 19*p**2 + 7*p - 27. List the prime factors of y(c).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8062 < 7909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 + -523. Let x = a - -573. Let n(y) = -y**3 + 7*y**2 + 6*y - 3. Calculate n(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1592*j - 39449 + 127823 = 191*j - 865*j for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3634 in 0.16, 2\/19, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -364*g**4 + 64*g**4 + 233*g**4 + 27*g - 2*g**3 - 6*g**2 + 60*g**4 in the form u*g**2 + r*g**4 + z*g**3 + o + h*g and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 722235528, 722235527, 722235526, 722235525, 722235524?\nAnswer: 722235523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 664444 + -1.2.\nAnswer: 664442.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 take away 26137?\nAnswer: -26123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.340183 kilometers to centimeters.\nAnswer: 834018.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/24*(1 + (-15)\/(-5)). Which is the fourth smallest value? (a) 1.2 (b) 9 (c) -0.5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105457 - 171*q - 105457 to m*q + a and give m.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 3, q: 1, h: 1, s: 4, d: 4}. What is prob of picking 2 d?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -215*a + 657 - 658 - 199*a + 31*a**2 wrt a.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -31 (b) 0.8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -35038 (b) 1 (c) 2 (d) 3\/77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 642, 807, 972, 1137, 1302, 1467?\nAnswer: 1632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/2 + 5114*s**2 - 902459*s\/2 + 446116 = 0 for s.\nAnswer: 1, 88, 10139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 6*g - 273. Calculate the remainder when m(26) is divided by 2556\/51 + 2\/(-17).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 - 8 + 5*o**4 + 8 - o in the form k*o**3 + h*o + l*o**4 + v*o**2 + j and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 2*a + 2. Let m be g(-2). Suppose p + 3 = m*p. Let b be p + -6 + 713 + 0. What is b rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gm when two letters picked without replacement from {m: 5, x: 7, g: 1}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1495623 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2.786421 kilometers?\nAnswer: 2786421000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*u + 20 = -u, 4*t - 20 = 5*u. Suppose -4*j + 5 + 3 = t. Suppose 8 = j*z + 4. Solve -z*q - 20 = 2*q, -i - 11 = 2*q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u = 0. Let m be (10\/1)\/(2 - u). Suppose 3*h + m - 20 = 0. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**3 + 2*w**2 + 2*w + 2. Suppose -34*i + 56 = 22*i. Let n = 16 - 11. Suppose 0 = 4*u + 13 - n. Let h(f) = f**2 + f + 1. Calculate i*j(g) + u*h(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vavsvacvv.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2452848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1487 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (46\/(-7))\/(-4 - (-135)\/35). Let w = 120 - t. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149210 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1864498734 and 1748?\nAnswer: 1747.8135501266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7777*n = 7762*n - 933 - 3207. Round n to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 352269744?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*k - 0*k. Solve 2*z + 3*g = -15, 1 = 4*z - 3*g - k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 339*o - 22379. What is c(66)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 12:12 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -23*o**2 + 185*o - 4. Let s be a(8). Solve u = s*v + 21, 5*v + 39 - 13 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/5)\/w*w)**(-21\/4) assuming w is positive.\nAnswer: w**(-147\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.757 + -9.957. Let u = 15 - -3. Is h smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 9*j - 4. Let v be (-1 - (-3)\/9)*(-36)\/(-8). Let a(l) = 8*l - 6. Let c(b) = v*x(b) + 2*a(b). Let p(g) = -6*g**2. Determine p(c(m)).\nAnswer: -726*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 107823077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 4:44 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19367.\nAnswer: 107, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 2056?\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2141088?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002927144 to 7 decimal places.\nAnswer: 0.0002927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -30.426. Let a = 0.274 - h. Sort a, 2\/19, 4.\nAnswer: a, 2\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22.6 + 16.6. Let q = p - -3. Let o = 983\/133 - 51\/7. Sort -4\/5, o, q in descending order.\nAnswer: o, -4\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*b*n**2 - 212*b - n**2 - 4*n + 6 with respect to n.\nAnswer: 80*b*n - 2*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 968613582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 53.872. Let x = -0.1280037 + g. Round x to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 67*g**6\/6 - g**2 + 2*g - 13. Find the second derivative of f(z) wrt z.\nAnswer: 1340*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8163327.\nAnswer: 3, 2721109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o + 26. What is b(11)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 17 + (-116 - -1) + 19 + 4?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -14*v - 16. Let m(b) = 40*b + 48. Let c(u) = -16*f(u) - 5*m(u). Let w(t) = 1. What is c(g) - 16*w(g)?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -25*-3732329\nAnswer: 93308225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27147*i**5 - i**2 - 28227*i**5 + 62979*i**5 + (-3*i - 3*i + 5*i)*(i**4 - 4*i**4 + 6*i**4).\nAnswer: 7602*i**5 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*t + 105*t - 68 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*8\/(-48)*(-6)\/14.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -18 (b) 1\/10 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 7. Let s(c) = c**3 + c**2 + 3*c + 3. Suppose 0 = u + 5*h - 23, -h = -3*h + 10. Let b be s(u). Let r be k(b). Let g(l) = l - 4. What is g(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 80\/(-70))\/(4\/(-28))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.577 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*h = 0. Let p(r) = 2*r**2 - 3*r + 1. Let k be p(0). What is the units digit of 32 + 1 - (h - k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 1:30 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17025\/136072 + 2\/17009. What is the nearest to -14 in 5\/2, -1\/3, o, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 62*a**2 + 69*a + 4437. What is d(-62)?\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 459354 rounded to the nearest 1000?\nAnswer: 459000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 82662803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -2. Solve -i + 1 = y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (3 + 12\/(-1)). Let v be (-3 + (0 - -3))\/2. Put v, f, -4 in ascending order.\nAnswer: -4, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 2 (c) 0.4 (d) -1170\/11 (e) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -309*j**2 - 3625*j wrt j.\nAnswer: -618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.08 + -0.06. Let h = 0.23 + a. Let w = h + 0.1. What is w rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167 + 26. Let q = -138 - h. What is the remainder when q is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.7 - -1.701299. What is g rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 144*o**5 - 3504*o**4 - 25148*o**3 + 565312*o**2 + 3748096*o.\nAnswer: 4*o*(o + 8)**2*(6*o - 121)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15053, -23713, -32373?\nAnswer: -41033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 6*l**2 - 2*l - 15. Let r(m) = m**3 + 4*m**2 - 7*m - 16. Let z be r(-5). Calculate b(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1711173 (base 10) to base 6.\nAnswer: -100402033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1919195554 and 461.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*i**2 - 5*i**3 + 3*i**3 - 111*i**2)*(-54 - 19 - 17)*(-i - 4*i + 6*i).\nAnswer: 180*i**4 + 5310*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/((-1500)\/24))\/(45\/(-25)). Which is the second biggest value? (a) -3 (b) 0.2 (c) 26 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j - 3. Let g(m) be the third derivative of 35*m**4\/24 + 35*m**3\/6 + 6*m**2. Let p(w) = -4*g(w) - 49*h(w). Differentiate p(v) wrt v.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 23. Let q(r) = -2*r - 24. Calculate 3*b(m) - 2*q(m).\nAnswer: m - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 1775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 121100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -364\/5 + 73. Suppose 0 = -16*f - 0*f + 160. Suppose 24 = -2*y + f*y. Which is the nearest to -0.2? (a) -0.4 (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g - 17. Determine o(19).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7))**13\/(q*q**(11\/3)*q*q\/q**(-13)*q) assuming q is positive.\nAnswer: q**(-512\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 4. Suppose i = 2*f + 6, -7 = -4*f - 4*i - 43. Determine n(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*a = 30*a - 539*a. Solve -58*q - 77 - 155 = a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (84\/20 + -3)*5. Suppose 20 = -t*k + 11*k. What are the prime factors of 4 - (-83 + (-12)\/k)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/(3\/108). Let q be ((-3)\/(-9))\/(2\/u). Is (-131)\/q - (-10)\/(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 390 and 14323348.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/8)\/(3\/(-46)). Suppose 2*r + 11 = t, 4*r - 4 = t - m. Suppose 2 = -t*f + 11. Let b(d) = 2*d - 1. Let w(j) = 2*j. Give f*w(n) - 2*b(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 10436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8c7 - -17?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7423480 to the power of 1\/3, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42767737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/25*(-815245)\/(-4749)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -9. Let o be 1\/i + 21\/4. What is the highest common factor of o and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-8)*(-3)\/(-63)*-2*1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5166449221 - 5166449790.9998482. Let p = -570 - t. What is p rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000255432299 to seven dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 37173*s - 259304. What is l(7)?\nAnswer: 907","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3)\/c*(c*c**(-19))\/c assuming c is positive.\nAnswer: c**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 341?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 162763511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31171 by 2.\nAnswer: 31171\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvmj when four letters picked without replacement from {m: 1, h: 3, j: 4, v: 7, s: 4}?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2189, 2185, 2179, 2171, 2161, 2149?\nAnswer: 2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*r, -q - 6*r + 3 = -5*r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b + 1 + b**2 - 5 + b**2 - 3*b**2 to j*b**2 + x*b + s and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115072*a**3 - 2*a**2 - 344*a - 15616060 with respect to a.\nAnswer: -345216*a**2 - 4*a - 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)*-5*1*6)\/((sqrt(54)\/(sqrt(9)*-4))\/sqrt(3)).\nAnswer: 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 50 - (-43 + 36 - -12)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 - 2 - -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1187 = 3*k, -3*y + 3*k - 31 + 922 = 0. What is the remainder when y is divided by 76?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21584 - 21580. Which is the fourth biggest value? (a) -3\/5 (b) -0.2 (c) y (d) -2\/7 (e) 4\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*y + 24*y + 4*y - 11*y + 2*y**2 + 20*y.\nAnswer: 2*y*(y + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1\/z*z\/(z*z**(-1\/4)))\/((z*z**(-6)*z)\/z*z**(3\/5)) assuming z is positive.\nAnswer: z**(93\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4056729.\nAnswer: 3, 79, 17117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 15. Suppose -42 - k = -5*o. Calculate the greatest common factor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + u**2 - 7*u - 3. Let x be o(-3). Suppose -7*s - 881 = -11*s + 3*g, s + 5*g - 203 = x. What are the prime factors of s?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u - 14*u + 14*u - 1 + 0*u + 2*u + 0*u + (9*u + 37 - 37)*(-4 + 4 + 2) to the form x + w*u and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k**2. Let x(c) be the first derivative of 0*c**2 + 2\/3*c**3 + 0*c + 9. What is x(s(y))?\nAnswer: 72*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 - 2 = -5*v. Let u = v + -1. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2625*p**3 - 1600.\nAnswer: -7875*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31196970 and 220570?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s. Let o(t) = 68*t + 2803. Determine f(o(w)).\nAnswer: -68*w - 2803","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -253794996 divided by -273\nAnswer: 929652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0 (c) -1\/2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 389*f**2 + 3*f - 756*f**2 + 366*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 4*x + 3. Let a be d(4). Let z(b) = -b**2 + 3*b + 2. Let k be z(a). Suppose -h + 7 = k*g - 75, 3*g - 3*h = 105. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -44 + 12 + (-3 - (2 - 28)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 95 and 40.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v - 5*l = 29*v + 8, -2*l = -3*v - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -0.038422136068077?\nAnswer: 4.961577863931923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**2 + 4*g - 1. Let f be (0*4\/(-16))\/3. Let u = 7 - 3. Suppose 12 = u*p - f*p. Calculate k(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(1\/(12\/8)). What are the prime factors of 81\/4 - g\/12?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333898.\nAnswer: 2, 166949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -14. Let u = 43 - 37. Let h be ((-14)\/12)\/(-7) - (-2)\/u. What is the second biggest value in w, h, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -7. Let o be 8\/(2 - k) + 2. List the prime factors of 5 - (2 + -3)*o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*a - 84. Find the common denominator of 54\/11 and a\/4*(-60)\/14.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341184 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*b = 2*a + 30*b + 18, 20 = -4*a + 2*b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g - 3*g**3 - 3\/2*g**2 + 0 - 3\/2*g**4.\nAnswer: -3*g**2*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 1272?\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 8. Suppose -54 = z*p - 7*p. What is the remainder when 51 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 228\/9 - (-10)\/15. What is y rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502188297595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 115792?\nAnswer: 578960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -64*m - 657. What is the thousands digit of p(-40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 624094075 to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3441.3798 times -2\nAnswer: 6882.7596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3363518024 to the power of 1\/2, to the nearest integer?\nAnswer: 57996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12183 is divided by 239?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.248 + 237413.\nAnswer: 237412.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22473*r**5 + 2*r**4 - 34*r**3 - 5069576*r?\nAnswer: 449460*r**3 + 24*r**2 - 204*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + sqrt(448))*6)**2*-2.\nAnswer: -296136 + 31104*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021 times -1.765191?\nAnswer: -0.037069011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/7 - 220*n**2\/7 + 1058*n\/7 - 120.\nAnswer: 2*(n - 105)*(n - 4)*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 10:50 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrqqrqqqqqqqrqq. Give prob of picking 1 r and 1 q.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 6489.702.\nAnswer: -1946.9106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153027, 153021, 153013, 153003, 152991, 152977?\nAnswer: 152961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 206917 - 620749\/3. Let j be (-4)\/(-6) - 23\/3. Let g(k) = -k**3 - 7*k**2 - 2*k - 10. Let y be g(j). Which is the closest to -2\/3? (a) y (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -180 or -106?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 + 34 = 18*h + 3 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 322\/(140\/(-20))*7\/(-42)*-9.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 18 = -9*k. Solve 4 - h**k - 3\/2*h**3 + 6*h = 0.\nAnswer: -2, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 8*a**2 + a + 2. What is the tens digit of y(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.1805 + 0.4745. Round a to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -207543 - 14?\nAnswer: -207557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 2. Let z be s(6). Suppose -2*c - 5*l = -23, -5 = -4*l - l. Factor 20*u**2 + 10*u**4 + c*u + 2 + 20*u**3 - z*u**5 + u + 6*u**5.\nAnswer: 2*(u + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1764610.\nAnswer: 2, 5, 176461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**2 + 3. Let p(v) = 10*v**2 - 5. Let n(g) = 3*p(g) + 5*s(g). Let l(b) = b. Let k(x) = x. Let f(h) = 7*k(h) - 6*l(h). Give f(n(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33287 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1061*p - 528*p - 349396*p**2 + 349386*p**2 - 533*p.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 3*s**2 - 2*s**3)*(0 - 11 - 8)*(-18 + 13 + 17).\nAnswer: 456*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1724 = 45*a - 109*a + 132 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -155 (c) 8 (d) 0.06316\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5)**27\/(r\/(r**16\/r)*r**(10\/3)) assuming r is positive.\nAnswer: r**(437\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = 2. Let u(g) = g**2 + g + 1. Let q(k) = -5*k**2 - 9*k - 5. Let i(x) = -q(x) - 6*u(x). Give i(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14 - 11 - 8\/(-2). Let -6 - p - 20*y - 20*y**2 + 20*y**3 + 21 + 12*y**4 = 0. What is y?\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 10*y**2 + 7*y - 40. Let i be k(-11). Suppose z + 0 + 3 = -i*r, 0 = 5*z - 3*r - 8. Which is the closest to -1\/2? (a) 0.5 (b) z (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*m = -108 - 30, -o - 3*m + 38 = 0. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/4588051 or 1?\nAnswer: -6\/4588051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138530?\nAnswer: 2, 5, 7, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -3. Let i = -3468\/13 + 267. Let y = -866.1 + 866. Which is the smallest value? (a) x (b) i (c) -2\/3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times -0.0132?\nAnswer: 0.1848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 3*h - 7714 + 7693 = 0, -4*s + 39 = 3*h for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1504 - -1525. What is the smallest common multiple of j and 54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Let t = 0 + 0.2. Let f = -521\/7 - -74. What is the second smallest value in f, r, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137 - -139. Suppose 2*t - 115 = 5*z, 4*z = -l*t - 3*t + 238. What is the highest common factor of 125 and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 821604 to the power of 1\/2, to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -451719.841 take away -0.5?\nAnswer: -451719.341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -160.78 - -161.18. Sort x, 94, 1\/2, -1 in decreasing order.\nAnswer: 94, 1\/2, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*i = -l - 4, -5*l + 16 = -i. Suppose 0 = -2*a - a + 5*r - l, 3*a - 16 = -5*r. Solve a*g - 4 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - 4. Let u be q(2). Let y = u - -13. Suppose -108 - 82 = -y*m. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45539b (base 12) to base 5.\nAnswer: 240430244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 20661.106 to the nearest one hundred.\nAnswer: 20700","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -z + 185 - 196, -4*z + 10 = -2*v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1199*x**3 + 1744 + 551*x**3 - 288*x**3 - 1744.\nAnswer: 1462*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -565*y**4 + 13537 + 3397*y**4 + 1148*y**4 + 5422*y**4 wrt y.\nAnswer: 37608*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.697 - 5.497. Let g = -30.6 - -31.83. Is g smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -77765*u**4 - 18890.\nAnswer: -311060*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 379584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/766 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -101001000001101101110010 (base 2) to base 13\nAnswer: -22c7384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-13)*y**0)\/(y**5)**(2\/37) assuming y is positive.\nAnswer: y**(-491\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109644 or 328936\/3?\nAnswer: 109644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3 - 6*i**2. Let x(o) = 3*o**3 - 5*o**2. Suppose -164*b + 101*b + 252 = 0. Calculate b*x(z) - 3*h(z).\nAnswer: 6*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, p: 2, s: 4, a: 1, d: 2}. Give prob of sequence sz.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + 6. Suppose -2*x + 4*u = -60, 0 = -2*x + u + 91 - 43. What is the least common multiple of x and r?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/4)\/(4 + -1). Let f be (-405)\/(-1050) + (60\/8 - 8)\/5. Which is the second biggest value? (a) f (b) 0.1 (c) k (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2323, 1, 4, 5.\nAnswer: 1, 4, 5, 2323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, z: 2, p: 2, v: 1, f: 1}. What is prob of picking 1 v, 2 z, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 166?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -37 = -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 9, -g - 3*a = g - 13. Let r = 1 + g. Suppose 0 = -r*l + 16319 + 22681. Round l to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351*f + 349*f = -14. Solve 2*h + 12*p = f*p + 2, 8 = h - p for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + 6*(sqrt(1573)*1 - sqrt(1573))))**2 + 3 + -4.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18304800 and 266945?\nAnswer: 128133600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 + -46. Suppose -17*a = -r*a - 276. List the prime factors of a.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 12, s: 7}. Give prob of sequence rs.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 324 and 324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -1, 0, -177?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 3:40 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35735760 + -64115272. Let f = i - -28379511.49000043. Let g = -0.51 - f. What is g rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81*v**5 - 2*v**4 + v**3 - 8247*v**2 wrt v.\nAnswer: 4860*v**2 - 48*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 5*k - 2. Let o be l(5). Let d be ((-5)\/o)\/(-5)*-6. What is the greatest common divisor of d and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 51.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0872 * 0.2.\nAnswer: -0.01744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6093)\/(-60))\/((-6)\/68). Let o = y - -1148. Find the common denominator of o and 39\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42006187998.09 - 4\nAnswer: 42006187994.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 19 = 7*m, 4*g + g + 3*m = -27 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-8)*r*r)\/r**(-1\/17)*(r\/r**2)**42)\/((r**(1\/5)\/r)**(-11))**(3\/14) assuming r is positive.\nAnswer: r**(-29052\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*c + 9, -3 = 3*c - 2*a + 4. Find the first derivative of -2 + c - 6*q**2 + 1 + 3 wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -524*i + 532*i - 2568 = 0. Calculate the remainder when i is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 619.8411 millilitres to litres.\nAnswer: 0.6198411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3278293*n*q - 1805889*q with respect to n.\nAnswer: -3278293*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2202433241 (base 5) to base 16.\nAnswer: 483a83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-2) + 7\/(-14). Suppose -67 = d*o + 4*p, 3*o = 3*p + p - 107. Let q = 6 - o. What is the remainder when 102 is divided by q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -180*o + 156*o. Solve 0 = -2*x - 82*n + 83*n, 3*x - o*n + 5 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2. Let a(b) = -4*b**2 + 16*b. Give a(z(t)).\nAnswer: -4*t**4 + 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 59*y**5\/60 + y**4\/12 + y**3\/3 + 9*y**2. What are the prime factors of h(-1)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 414*b**2*s**2 + b**2*x**3 + 10*b*s**2*x**3 + b*x**2 - 2*b*x - 2*s**2*x**3 wrt b?\nAnswer: 828*s**2 + 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(280)\/(sqrt(200)\/sqrt(5) + sqrt(40)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -84.747 times 0.5\nAnswer: -42.3735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1067 + 1999. Calculate the remainder when u is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9 + 4061*x - 8112*x + 4124*x. Let b(t) = 37*t + 4. Give -9*b(q) + 4*m(q).\nAnswer: -41*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495*f - 498*f + 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 27 = -5*y, -2*y + y + 31 = -4*v. Suppose 4*k + 43 = -3*p - 2*p, -p - 4*k = 15. Does v = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1584 and 2219415.\nAnswer: 106531920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-665)\/(-21)*(-14)\/(-210)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 p, and 2 z when four letters picked without replacement from zzpzmzzqmpzzzppzpp.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**3 - m**3 + 3*m**3 + (0*m + m + m)*(m**2 - 2*m**2 + 0*m**2).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 58 - 7 = 0. Solve 0 = -4*u - 0*i + 4*i - 4, -5*i + k = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d13e1 - -164?\nAnswer: d1555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + -31211332231?\nAnswer: -31211332243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 10. Suppose -4*b = 4*u + 16, 5*u - 4*b - b = 20. Determine k(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 201 - (0 - -1) - 2. Let z be 4\/(-6) - (-418)\/(-3). Let u = z + c. Is 29 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5976017 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*b**2*y**4 - 77*b**2 + 7*b*y**4 wrt y.\nAnswer: -32*b**2*y**3 + 28*b*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.5 + -0.5. Let h = -10 + 5. Let b = 7 + h. What is the closest to -2\/3 in 0.4, b, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2 = j, 2*z = j - 1007 + 1004 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6050605 (base 7) to base 16.\nAnswer: af576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7333.61g in kilograms?\nAnswer: 7.33361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 55\/4 of a gram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 4*i + 14 = 3*w, -3*w = -5*i - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -1. Suppose 4*w - 9 = q, m*q - 3*q = 2*w - 24. Let u = q - -23. What is the lowest common multiple of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3*y = -21, 0*h - 3*h + 3*y = -9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0455*0.27.\nAnswer: 0.012285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 59703526.\nAnswer: -11\/59703526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 g when three letters picked without replacement from qjgqpg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -5*u - 21. Let n be u\/((-4)\/32*18). Let y = 0.2 + -1.2. Is y <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 11) in base 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -315 divided by -2?\nAnswer: 315\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 628156708 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -202886 plus 1.4?\nAnswer: -202884.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 114.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.81 from -4459677979.\nAnswer: -4459677984.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(1053) + 2)*6)**2 - (sqrt(1053) + (2 + sqrt(1053) + 4)**2)) + (-3*-5*(-1 + sqrt(1053)))**2.\nAnswer: -2871*sqrt(13) + 274109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 2 - 3) + 4. Suppose t*o + 4*o - 40 = 0. What is the remainder when o is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -113*p - 4. Is l(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 - -68. Let s = k - -16.99999704. Round s to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-110))\/(41\/((-21197)\/188))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**2 + 18 + 40*j - j**3 - 14*j - 9*j + 9*j - 17*j. What is y(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 11*a - 77, -3*a + 287*c - 282*c + 21 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.84644l to millilitres.\nAnswer: 80846.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 91, 89, 87, 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2 - 2922*x - 11713. Give z(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 + -15 - (-4 + -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -442151343 (base 6) in base 14?\nAnswer: -10abb67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3191 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (4 + 0\/7). Let m(z) = z**4 - z**3 - z + 2. Let f(a) = 5*a**4 - 3*a**3 + 9*a**2 - a + 12. Let h(n) = j*m(n) + f(n). Solve h(c) = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1718 + -1217. Which is the third biggest value? (a) 0.3 (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359699 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*r + 20 = 172*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**6\/30 - 21*y**2\/2 + 8. Let v(x) be the second derivative of i(x). Factor v(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h - 28239. Let z(b) = -2*b + 15. What is z(c(d))?\nAnswer: 4*d + 56493","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -976.\nAnswer: 1\/976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o - 1. Let z(d) = 17*d - 2. Let m(f) = 11*h(f) - 4*z(f). Let i(u) = -u**2 + 13*u + 4. Let w be i(10). Let g be 1\/4 + w\/(-8). Determine m(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 18*o**2 - 152*o + 60. What is d(10)?\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11941009, 11941008, 11941007, 11941006, 11941005?\n\"Answer: -f + 11941010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6, -6, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from {f: 1, b: 1, e: 1, h: 2, r: 1, u: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 5:08 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - 5 - (-97 - -90)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.99 + 1. Let u = t - -3.49. Let n = u + -4. Sort 0, n, -0.3.\nAnswer: n, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 67742, 135418, 203026, 270566, 338038, 405442, 472778?\n\"Answer: -34*a**2 + 67778*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2192 and 95?\nAnswer: 208240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from ttzttttttttwttt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 0*i**2 + 0 - 1\/2*i**5 + 0*i**3 + 12*i - i**4. Find the third derivative of x(a) wrt a.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -1\/4, -3, -2\/15, 613\/24?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.5 + -7. What is the biggest value in o, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide (5 - 342\/66) + 42784\/88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443706143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in -5.1, -4, -1\/5, -3, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1283423 and -6417113\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n**2. Let z = 24440 - 293267\/12. Let o(k) be the second derivative of 0*k**2 + 0 + 45*k - z*k**4 + 0*k**3. Give f(o(h)).\nAnswer: -676*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -24*u + 275. Calculate g(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (156\/(-24) - -5)\/(12\/(-10)). Let l(o) be the first derivative of 1\/2*o**5 - 8 + 1\/2*o + 1\/12*o**6 + 5\/3*o**3 + h*o**4 + 5\/4*o**2. Factor l(w).\nAnswer: (w + 1)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 9:04 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 8:33 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 11, k: 2}. Give prob of picking 1 a and 3 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -244642\/15 - -16314. What is the common denominator of a and -121\/8664?\nAnswer: 43320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*y = 12 - 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + 58*m**3 - 55*m**3 - 2 + 1 to g + r*m + p*m**3 + y*m**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -12*b**3 - 119*b**2 + 10*b - 1. Let s be t(-10). Put s, 39, 3 in descending order.\nAnswer: 39, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5*h - 5, -2*n + 67 = -4*h + 7. Suppose -8*m - 12 = -n. Sort 7, m, -5, -4.\nAnswer: -5, -4, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292*h - 290*h = 14776. Suppose 34*w = h + 6994. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 7) to base 12\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 3*s**2 - 3*s - 4. Let f be n(4). Suppose 3*p + 2*j - 46 = f, -3*j - 8 = p - 7*j. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (162*i + 206317 - 206317)*(-i + 0*i + 2*i)*(-i - i + 3*i).\nAnswer: 162*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0369551 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*t = 185*t - 256. Let j(q) = -42*q**3 - 2*q**2 + q + 1. Let h be j(-2). Let w be 8\/t + h\/12. Solve -w = -3*r - 3*m, 5*r - m - 2 = 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 77481 - 59469 = -33978. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/2 + 700\/14. Let q be (-1)\/(-1) + -50 - -1. Let a = u + q. What is the third biggest value in 2, 4, -0.1, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w**2 - 5*w - 2. Let g(x) = -13*x**2 - 11*x - 4. Let n be 4\/(-18) - 316\/36. Determine n*y(z) + 4*g(z).\nAnswer: 2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 + f**2 - 4*f + 6. Let p be b(2). Let w be p\/(-6)*(-8 - (-406)\/49). Suppose 2\/3*t**2 - 4\/3*t**3 + w*t**4 + 0 + 0*t = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by 3.\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62525.\nAnswer: 5, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znz when three letters picked without replacement from nznzznnzzznznnznzznn?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/179964266 and 11\/1832630.\nAnswer: 899821330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -9 + 19 - 4*z - 10. Let k(m) = 20*m. Determine 14*j(u) + 3*k(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-69)\/(11 + (-889)\/56).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00213347 to six dps.\nAnswer: -0.002133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5972639.\nAnswer: 2179, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/9 + 454*g\/9 - 448\/3.\nAnswer: -2*(g - 224)*(g - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*r + 11, 2*c - 5 = 3*r - 18. Let z be c\/(-15)*(-25)\/15. Let j = -351 + 351.1. What is the nearest to j in z, -0.5, -3\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150086, 150099, 150112, 150125?\nAnswer: 150138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8447 times -4\nAnswer: 33788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -415607992, -415607987, -415607972, -415607941, -415607888?\n\"Answer: c**3 - c**2 + c - 415607993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6) + 0)\/(1\/39). Let y = a + 19. Solve -2*q + y = 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29600*x**3 - 89620?\nAnswer: 88800*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q - 18*q**2 + 19*q**2 + q + 2 + q to z + b*q**2 + j*q and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + 0*t - 3*t)*(-7 + 1 + 4) + 41*t - 15*t + 14*t as y + w*t and give w.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -46. Let x = i - 27. Let p = 11 + x. Solve 0 = -p*j - 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17013 and 5?\nAnswer: 85065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.0653*1.254\nAnswer: 0.0818862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15056?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-9) - (-22)\/99.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 15*i**2 - 21*i + 51. What is k(14)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.357745949 and -0.1.\nAnswer: -0.457745949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5198 + -5197.6. Which is the second biggest value? (a) 1221 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 11*g = 6. Suppose 5*s - 46 = g*a - 1, -14 = s + 4*a. Differentiate -14 - 13*p**3 + 2 - 9 - s*p**3 with respect to p.\nAnswer: -57*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 114*o**2 + 109*o**2 - 225*o**2 + 1 + 15*o**3 - o - 2*o**4 as h*o**3 + k*o**4 + p + w*o**2 + i*o and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five quarters of a century?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-4)*j**3)\/(j**(4\/7)\/((j**(4\/9)\/j)\/j*j)) assuming j is positive.\nAnswer: j**(-71\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4921\/729725 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*j - 5*g, -2*j - g + 7 = -4*g. Let f = -4 - j. Let k(b) be the third derivative of -b**5\/60 - b**4\/12 - 2*b**3\/3 - 16*b**2 + 2. Give k(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93162 + 19*w**3 + 93162 + 23*w**3 - 3899*w**2 + 3899*w**2.\nAnswer: 42*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k**3 - 13*k**2 + k. Let r(v) = 13*v**3 - 25*v**2 + 3*v - 1. Let z(i) = 6*r(i) - 11*u(i). Suppose -5*x = -3*l - 27, 4*l = x + 3 - 5. Give z(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1945\/22 - 3803\/44. Let g = -243613\/468 + 6732\/13. Calculate the common denominator of g and b.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4 - 670*p**3 - 112216*p**2 + 6030*p + 1010025 = 0. What is p?\nAnswer: -335, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.92 - -7.87. Let u = 0.05 - q. Let i = u + 6.89999963. Round i to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*w = -22, -3*w + 3 = -z + 2*w. Let k = 42 - z. Calculate the remainder when k is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7*x**6 + 3*x**4 - 4*x**2 - 3*x. Let s(q) = -q**6 - q**4 + q**2 + q. Let m(r) = -3*s(r) - t(r). What is the third derivative of m(y) wrt y?\nAnswer: 1200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - h - 16 - 7)*(813 - 30 + 42 + 484) in the form a*h + k and give a.\nAnswer: -1309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11110 (base 2) to base 8\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 0)*(1 - 1 - 1) - 2 - 1 + 1)*(38*m + 31*m - 85*m).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 3*p + 4101, -4*o = -2*o - 3*p - 2739. Is o a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uoppupouuopoudduoo. What is prob of picking 4 u?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(216) + 1*sqrt(216)))\/((1*sqrt(550))\/sqrt(11)).\nAnswer: 36*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(405))\/((sqrt(120)\/sqrt(2))\/sqrt(10)).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (496*w + 1609*w - 33*w)*(-6*w + 3*w + 2*w + (2*w - 2*w - w)*(-1 + 9 + 1)) to b*w**2 + k*w + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 3*q - 4*v - 0*v, -v - 83 = -3*q. Let g = 4 + -10. Is 15 a factor of (60\/(-9))\/(g\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3*z - 37, -21*b - 3*z = -24*b - 21. Let k(c) = -c**3 - 6*c**2 + 6*c - 9. Calculate k(b).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7 = -4*t, 3*o - 8*o - 4*t = -9. Determine w, given that 11\/2*w**2 - o - 1\/2*w + 3\/2*w**4 - 11\/2*w**3 = 0.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -259. Let a(s) = -2*s - 538. Calculate 3*a(y) - 5*g(y).\nAnswer: -6*y - 319","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 4*l + 18, -2*l + 133 - 115 = -4*m. Let t(u) = 2*u + 21. Let z be t(-9). Let r(h) = 5*h + 9 + z*h + 4*h**3 - 3*h**3 + 7*h**2 - h. Give r(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 682 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/115188 and -73\/3132.\nAnswer: 1036692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5552\/25 + -222. Let x(k) = -k**3 - 9*k**2 - 9*k - 4. Let j be x(-8). Let r = j + -3. Is r greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*2 + sqrt(102) + sqrt(102))*-6)\/(sqrt(30)\/(3*sqrt(5) + sqrt(5))).\nAnswer: -96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(624)\/sqrt(588))**2.\nAnswer: -156\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 95*c - 57*c - 52*c + 204*c - 2*c**3.\nAnswer: -2*c**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, u: 4, a: 1}. Give prob of picking 3 w.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-6 - (-2 + -8 + -1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uenuueuuuanununvu. What is prob of picking 1 v and 1 a?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-14) - (9 - 864\/63). Suppose 2*j - t*x = -0*j + 19, 4*j = -2*x + 2. Solve j*l + 1 = -2*k + 13, 0 = k + 3*l - 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18 + 25 - 2*k - 9 - 3*k - 2 + 2 + (-3 - 4 + 5)*(-2*k + 4*k - 3*k) + 0*k + 2*k + 0*k - k + 9*k + 2*k.\nAnswer: 9*k + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/3, 2\/27, 0 in increasing order.\nAnswer: -4, -1\/3, 0, 2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 25*y**4\/6 - y**3\/3 - 2*y**2 - 6*y - 6. What is the second derivative of t(j) wrt j?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.77 + 20.81. What is the closest to -2 in 0.5, u, 4, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 7*i**2 + 12*i + 2. Let l be d(5). Is 4 a factor of 15\/l*1\/((-3)\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*c - 21. Solve 3*x + c = 5*f, -5*x + 3 = 4*f - 2*f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3 - 57 = 0. Let i be 3 - (r\/3 + -4). Let o(x) = -9*x**2 + i*x**2 - 4*x**2. Let z(g) = -g**2. Determine z(o(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80869*v**6 + 114*v**3 - 125947123*v**2 wrt v?\nAnswer: -9704280*v**3 + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r - 4. Let a(i) = -7*i - 5. Let p(t) = -4*t**3 + 22*t**2 + 10*t + 9. Let j be p(6). Calculate j*a(w) + 4*z(w).\nAnswer: -7*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 1, 1286?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.73 + 3.13. What is the nearest to 13 in 1\/4, -1\/8, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11183786*p - 11183790*p + 22367576*p - 1386*p**3.\nAnswer: -1386*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 4*a**2 + 2*a - 1. Calculate z(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b - 2 + 2)*(-19 + 9 + 25) + 13*b + 50*b + 103*b to the form d*b + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 5*z + 15, 0 = 5*y - 7*y - 2*z. Is 1965\/25 - 2\/y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/6 - 1\/3. Let d(g) be the second derivative of 0 + 0*g**2 - g + 0*g**4 + 1\/10*g**5 + i*g**3. What is the second derivative of d(j) wrt j?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctc when three letters picked without replacement from etdcttedctdedte.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 13852828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 21 = w + 1, d = -2. List the prime factors of (58\/4)\/((-9)\/w).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 207 - 171. Let g = -48 + 56. Suppose 0 = 10*h - 262 - g. Calculate the highest common divisor of z and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + 3 + sqrt(1539) + (sqrt(1539) + sqrt(1539) + -1)*-4)**2.\nAnswer: -756*sqrt(19) + 75447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/6)\/3*(-271)\/((-2082635)\/212).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1672\/(-33))\/76)\/((-5)\/(-65)).\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q + 2. Let r(t) = 35*t - 7. Let z(g) = -6*b(g) + r(g). Give z(16).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41838 and -73?\nAnswer: 3054174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 620*f**2 - 119*f**3 - 1 + 2*f**4 - 299*f**2 - 321*f**2 to z*f**2 + u + h*f**4 + g*f + t*f**3 and give t.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 67, 135, 199, 259?\n\"Answer: -2*k**2 + 74*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8164 or 4878?\nAnswer: -8164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o\/o**0)\/o)*o**(-6)*(o*o*o**(-2\/17))\/o**(-4\/5))**27 assuming o is positive.\nAnswer: o**(-7614\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((((sqrt(171) + (sqrt(171) - -2*sqrt(171)) - sqrt(171) - sqrt(171))*-2)\/sqrt(9) + (sqrt(76)\/sqrt(4)*-4 + sqrt(19) - sqrt(152)\/sqrt(200)))*-3)**2*4.\nAnswer: -1772928\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6240*i*m**3*r + 127*i*m**3 - i*r + 11*m**3*r + 49*m**3 - 2*m**2*r + 37*m*r + 11 wrt i.\nAnswer: 6240*m**3*r + 127*m**3 - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14, -49, -96, -155, -226, -309, -404?\n\"Answer: -6*j**2 - 17*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one twentieth of a microsecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y + 32*y**2 + 4 - 2*y - 3 - 31*y**2. Calculate n(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26301222.\nAnswer: 2, 3, 1461179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -71259*t**3 + 71251*t**3 - 14 + 2*t**2 + 3*t + 3*t in the form x*t**2 + w*t + l*t**3 + c and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/(-14)*(5 + -12). Let k(t) = -t**2 - t - 80. Let l be k(0). What is the tens digit of (-6 + 0)*l\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000022251502 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 27, -2\/19, 201 in increasing order.\nAnswer: -2\/19, 4, 27, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 14. Let x be ((-16)\/o)\/(-4)*-3. Is (-6)\/(-12)*19*x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237031 divided by -2.\nAnswer: 237031\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16647 and 334?\nAnswer: -5560098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -141*k**3*w - k**3 + 481*k**2*w - 129572*k**2 + 2*k*w - 80*k + 4*w with respect to w.\nAnswer: -141*k**3 + 481*k**2 + 2*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2952466 to 3 dps.\nAnswer: 0.295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (2 - (3 + 1)) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93*c*o**3 - c*o**2 - 18*c*o - 4*o**4 - 2*o**3 wrt o?\nAnswer: -558*c - 96*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from {y: 1, d: 5, p: 3, z: 3}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (40\/140)\/(5\/302470*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - -9 - (-12)\/(-4). Let n(t) be the third derivative of 1\/300*t**6 - 1\/60*t**4 + 0*t - l*t**2 + 0*t**3 + 0 + 0*t**5. Factor n(h).\nAnswer: 2*h*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + (-2 - -2))\/((-2)\/(-8)). Sort v, -1\/2, 3\/5 in descending order.\nAnswer: 3\/5, -1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00141569504 to 7 decimal places.\nAnswer: 0.0014157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3941713*h + 3926689?\nAnswer: -3941713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 103032.\nAnswer: 515160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f + 7. Let o be p(-1). Suppose 3*k - 5*l = 115, 0 = k + o*l - 70 + 13. Calculate the smallest common multiple of k and 3.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 greater than -0.37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 0 = d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -28, 1, 10 in descending order.\nAnswer: 10, 5, 1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -26. Suppose 2*l - 1 = -3*y - 0, w = -3*l + y + 18. Let i = -1 + l. Solve 0 = 2*o + 3*s - 19, i*o - s = -4 + 21 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 184\/24 - (-4)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from tpyktrtttrrypt.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*w**3 + w**3 + w**3)*(1 - 2 - 2)*(3 + 174 + 80) in the form m*w**2 + n*w**3 + j*w + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 4)*(22*x - 22*x - 5*x**4) to the form s + c*x**2 + a*x**3 + j*x + p*x**4 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**4\/6 + 7*x**3\/6 - 4*x**2. Differentiate m(l) wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2) + sqrt(2) + -4)*-5 - (sqrt(80)\/sqrt(4)*6)\/sqrt(10).\nAnswer: -16*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725205.\nAnswer: 3, 5, 13, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 441 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 5*h - 6, 2*b + 4 = 2*h - 0*h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*v - 89*v - 1716 = 455 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fe + 47e60?\nAnswer: 47f5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = h - 0*m + 4, 0 = 3*h + 2*m - 12. Let g be 20*(-4 - 22892\/h). Round g to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -199954 less than -199951?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x + 15. Let r(j) = 132*j - 286. Let z(f) = -77*i(f) - 4*r(f). Is z(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -99, -250, -541, -1020, -1735, -2734, -4065?\nAnswer: -5776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 350559310?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018828 to 5 dps.\nAnswer: -0.00188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((5*(sqrt(77) - (sqrt(77)*-2 - sqrt(77))) + sqrt(77))\/(6*sqrt(28) + sqrt(7)) + -4 + 2).\nAnswer: -84*sqrt(11)\/13 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 - -168. Let s = d + -9. Suppose 0 = p, -p - s = -o - 4*o. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 8 = 2*n, -2*n + 6*n + 7 = o. Let b be 1\/((1 - (-45)\/(-10)) + 1). Is b != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 851 - 329. Calculate the remainder when w\/(-15)*5\/(-2) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1226452 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -136, -1784\/151 in increasing order.\nAnswer: -136, -1784\/151, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -36\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 86*o**2 - 37*o + 1230. What are the prime factors of n(16)?\nAnswer: 2, 47, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15633 - 15633. Which is bigger: -2312 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 + -31. Let q(m) = -m**3 + 5*m**2 - m + 7. Let v be q(5). Suppose 0 = -2*i + v*d, 0 = 4*i - 0*i + 5*d - o. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1115*m + 3910?\nAnswer: 1115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -837 + 236. Let r = -16 - o. Is r a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 223*q**2 - 4238*q + 809. What is h(-202)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6961 is divided by 149?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.14 + 5.46. What is i rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -133 - -136. What is the highest common divisor of 81 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2) + (-2)\/4. Is 37\/(2\/(-10)*v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {x: 3, z: 3, e: 3, w: 1, i: 3, o: 1}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 15 = 3*j, -j - x = 4*j - 23. Suppose 3*a = 4*a - j. Sort -0.3, -2\/11, a in increasing order.\nAnswer: -0.3, -2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12331769 and 1023?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k**2 - 4*k**2 - k**3)*(298 - 31*k - 298) + 12*k**4 + k**4 - 6*k**4 + 7 + 2*k**4 - 7 as t*k + h*k**4 + p + j*k**2 + q*k**3 and give h.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -44*k**2 - 6. Let q(b) = -144*b**2 - 20. Let x(h) = 3*q(h) - 10*u(h). Let y(a) = -3*a**2 + 46. Give x(y(n)).\nAnswer: 72*n**4 - 2208*n**2 + 16928","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19550805733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554 is divided by 184?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 232530 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562548 is divided by 118.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 86\/6 + 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**3\/7 - 1916*y**2\/7 + 67584*y\/7 = 0.\nAnswer: -512, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*d + 28. Suppose 9*j - 6*j - t - d = 0, 4 = -4*j + 4*t. Calculate the remainder when 4 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(4 + ((sqrt(136) - ((sqrt(136)*1 + sqrt(136) - sqrt(136)) + sqrt(136)))*-6)\/(sqrt(8) + sqrt(896)\/sqrt(7)))*-6.\nAnswer: -288*sqrt(17)\/5 - 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -5*k**3 + 20 + 40*k**2 - 5\/4*k**4 - 60*k. Factor z(i).\nAnswer: -5*(i - 2)*(i - 1)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20466487 - -5?\nAnswer: -20466482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 20. Let u be s + 0 + -10 + 14. Let m(c) = c**2 - 4*c + 3. Calculate the lowest common multiple of 1 and m(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6650782, -13301566, -19952350, -26603134?\nAnswer: -33253918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*x - 20 = -76*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3*q*q)\/q**(-2\/5)*(q**(-4)*q)**(-2\/87))**(-16) assuming q is positive.\nAnswer: q**(-12688\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -5.3. Let v = -0.5 - m. Let z = v + 0.6. Which is the biggest value? (a) 0.3 (b) -0.2 (c) z (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 7 + 23 = 0. Solve -v*i + 6 = -9*i - 2*h, -2*i - 4*h - 12 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-2*3 - 2*sqrt(136)*-1)\/(sqrt(40)\/(4*sqrt(20))) + -3)*2.\nAnswer: -64*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2216 (base 7) to base 6.\nAnswer: 3405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3227 - 134*q**3 - 3227.\nAnswer: -134*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 509101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-12)\/18 - (-11284)\/78 and 8.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -742933\/95500 - -1500\/191. What is the common denominator of 101\/420 and v?\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*v - 52*v - 32*v + (-5 - 2*v + 3*v + 6)*(-25 + 21 + 20) as m + i*v and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 171. Let m = s + -41. Calculate the greatest common divisor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.329239 minus 220974723?\nAnswer: -220974723.329239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 14389999?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1606178?\nAnswer: 2, 7, 47, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3346*y = 5*u + 3351*y - 365, 0 = -4*u + y + 292. Solve 13*c - u*c = 240 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 17 = -l, -4*l = -2*p - 2116 + 2138 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000536 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3503*m - 15 = 3500*m. Suppose -67 + 22 = -3*t. Solve 10*y + m = t*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**9\/60480 - x**8\/3360 + x**7\/720 - x**6\/240 - x**5\/30 - 4*x**2. Let r(o) be the third derivative of q(o). Determine r(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 8:38 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2, 201 in decreasing order.\nAnswer: 201, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10722741?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 126124*w - 3024672.\nAnswer: -4*(w - 31507)*(w - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2013, -4124, -6357, -8712, -11189, -13788, -16509?\n\"Answer: -61*w**2 - 1928*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 17*t**3 + 4*t**2 - 6*t - 9. Give m(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 2\/3*d**3 + 74 - d**2 + 3*d. What is q(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 - 1 - 213*m**2 + 98*m**2 + 115*m**2 + 91*m**4 in the form q*m**2 + r + j*m**4 + o*m + c*m**3 and give j.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l + 13. Let p be a(-10). Let x be ((-532)\/120)\/p - (-2)\/12. What is the nearest to 2\/9 in 1\/8, x, -5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -19*w + 15. Let m(v) = 1. Let s(u) = d(u) - 3*m(u). Is 18 a factor of s(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**5\/80 + 13*u**4\/48 - 5*u**3\/4 + u - 771. Solve d(r) = 0.\nAnswer: -15, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1408 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t + 136. What is k(13)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {f: 3, r: 3, a: 1, l: 3, g: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*f**4 + 5*f**3 + 122*f**2 - 51*f - 3 wrt f?\nAnswer: -84*f**2 + 30*f + 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, z: 9, o: 1, h: 2}. What is prob of sequence hno?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64000 = 14*t - 64182 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*b = 320. Let j = b + -93. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.5 and 34.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = 215 - 150. Let o = -0.199 + -0.001. What is the closest to 2 in 1, o, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 2*o**2 - 3*o + 7. Calculate j(5).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**3 - 3 - 2*z**4 + 4*z**3 + 0*z + 0*z + 2*z**2 in the form o*z**2 + y + g*z + v*z**3 + r*z**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5520)\/(-1840)*(-114)\/3.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 x when four letters picked without replacement from wwcxfxfq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35647 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from powipppa. What is prob of picking 1 a and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 2*y**3\/3 + y**2\/2 + 7*y + 3. Let g be k(-5). Suppose 0 = 5*r - r - g. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-24)*2)\/((-5)\/200). Let j(o) = w*o**2 + 10*o**2 + 63*o - 63*o. Let s(l) = -10*l. Determine s(j(z)).\nAnswer: -200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 2*q + 1. Let m be l(1). Let w be 2\/m + (-3237)\/204. Let p = 2\/17 + w. Calculate the common denominator of 77\/16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**4 + 41265*a**3 - 46167600*a**2 + 13957871680*a = 0. What is a?\nAnswer: 0, 632, 6989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1498.71 rounded to 0 decimal places?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10678*y - 50 = 4*i - 10673*y, 3*i = -i - 3*y - 54 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.048 - -1.548. Let w = 491 + -1965\/4. Is i less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 253 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3)*(24\/2)\/2. Let k be (-4 - 1) + (-438)\/(-84). Which is the second biggest value? (a) -2\/7 (b) k (c) m (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1697 - 817. List the prime factors of 2 + (-2)\/(-1) + w.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*5*(-2*(-1 + sqrt(1377) + 0))**2*3.\nAnswer: -10800*sqrt(17) + 826800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*w + 12*w - 4*w + 12*w - 22*w as l*w + y and give l.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 533579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*z + 134*z = -2889440. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98843316*x**4 - x**3 - x**2 - 25408536*x?\nAnswer: 2372239584*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 612 - 611. Factor -k + n + 1\/4*k**4 + 1\/2*k**3 - 3\/4*k**2.\nAnswer: (k - 1)**2*(k + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i + 5*x, -i = 3*x. Is i\/(-1) + 6*3 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**3 + 15239*g**2 + 17036 wrt g.\nAnswer: 6*g**2 + 30478*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 9349585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90\/7 - 173\/14. Which is the third smallest value? (a) p (b) 5\/4 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3 + 3)*(115 + 111 - 789*u - 226).\nAnswer: -789*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98171 and 504769?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2274.8 - -2274.82. Let f = 6 + -6. Suppose -q - 5 = -f*q. Which is the nearest to -2\/7? (a) -0.3 (b) k (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1515714 and 957?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 1. Is t at most as big as -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10 + (-44)\/(-24) + (-5)\/6. Find the common denominator of (-12711)\/(-66690) - (-4)\/x and 62\/117.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 598673337 to the power of 1\/3, to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 + 14) - (-10507 - -10488) - -56?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383458 is divided by 20791?\nAnswer: 9220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*x = -6*x - 246868, 2*g = 4*x + 164576. What is g rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**4 - 2469*h**3 + 557910*h**2 - 20393100*h + 150579000 = 0.\nAnswer: 10, 33, 390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 1198 + 1198)*(-2*q + 4*q + 0*q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30 - 3\/(-3)*-2. What are the prime factors of (-8)\/d - 51\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 + l**2 + 0*l**2. Let r(o) = -4*o - 5. Let v(j) = 6*j + 7. Let s(u) = 7*r(u) + 5*v(u). Give q(s(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from {k: 2, j: 4, u: 7, y: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = b - 45, -5*b + l + 408 = 139. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 71928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 3 (b) -2 (c) 47\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003313344 to six decimal places.\nAnswer: 0.000331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 11*c - 96. Suppose 0 = -12*u + 12 + c. Suppose 0 = 4*r - u*s - 758, 0 = 2*r + s - 82 - 303. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -4a65?\nAnswer: 4a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20812271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34.9 + -33.9. Let a = 47.31 - 47. Let o = a + -0.3. What is the nearest to h in -3, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5058 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*j + 24, 3 + 12 = -3*j - 3*i. Let v be (-5)\/((-30)\/(-24))*3\/j. Let s be -3*(-2 + 28\/(-6)). Solve 0 = -v*z + 7*z - s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -4\/2488901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9636311473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, m: 3, d: 1, s: 2}. Give prob of picking 1 d and 2 m.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -22. Let n be (-6)\/(-2 + f\/4). Suppose -68 = -4*o - n. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*15\/35)\/((-780)\/1820)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 58487 = 58495, -3*f = 2*d + 104 for d.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from {g: 10, m: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(8\/7))**(-1\/7) assuming c is positive.\nAnswer: c**(-8\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 155579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33.3 - -34. Let a = 0.65 - k. Let m = 1.7 - 1.6. Sort a, m, 1 in descending order.\nAnswer: 1, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-407)\/444)\/(-15*2\/(-120))\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xczxwzxxjzwwzdwxcx. Give prob of picking 1 z, 2 c, and 1 d.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*-2.33.\nAnswer: -2.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + d3e?\nAnswer: d3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-196)\/(-24) + -7)*110\/(-154)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -89 times -79148\nAnswer: 7044172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1635634 and 62909?\nAnswer: 1635634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -38. Solve 2*c + h = 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -69, 1, 0.08, 5\/16, -1.2, 1.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f - 13. Let u be b(-12). Suppose -19*s = -u*s + 120. Suppose 0 = -3*m - 5*q + 29, 2*m - s = 2*q - 0*q. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -697*d*y**6 - 3*d*y**5 - 2*d*y**2 - d*y + 8060*y wrt y.\nAnswer: -83640*d*y**3 - 180*d*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*f - 174 = 0. Let k = 309 + -155. Let v = f + k. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 300 and 309700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 0*k - 34 - 21\/2*k**2. Let o(r) be the second derivative of -r**4\/12 + 2*r. Calculate f(o(l)).\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1564 (base 7) to base 10\nAnswer: -634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*t = 12, -6*j + 2*j - 5*t = -14. Let q = 12 - j. Is 3\/q + (-75)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((-42 - (1 - 20)) + (4 - 17))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14385 + 14386 + 2*u - 121*u**2 - 304*u**2 to the form o + q*u + a*u**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 806740836 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 216295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x - 3740 = -5140. What is the remainder when 1337 is divided by x?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 + 131*u**2\/4.\nAnswer: u**2*(u + 131)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -1, -2, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5307\/8 - -655. Let q be (4 - 70676\/(-36)) + -3 + 2. Let a = q + -1964. Find the common denominator of j and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 5*h - 3. Let d(q) = -q + 1. Give 2*d(j) + x(j).\nAnswer: j**2 + 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3364481 and 7231.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2 = 34. Let d = u - -50. Let r(k) = k**3 + 18*k**2 - 42*k - 36. What is the remainder when d is divided by r(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -284*j - 284. Let w be d(-1). Solve -2*g - m - 2 = w, -3*g - 5*m + 30 = 40 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/(k**(-1)\/k*k))**(-1\/17)*(k\/k**(-3\/5))\/((k*k**0)\/k))**(1\/36) assuming k is positive.\nAnswer: k**(29\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2016*l - 5544 = -128520 for l.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-3*sqrt(80) - ((sqrt(5) + 0)*5 - sqrt(5))))**2 + sqrt(125)*-2 + 0 + 5 + 0.\nAnswer: -10*sqrt(5) + 1285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -18 + -2 + (-9 - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**3 - 3*v + 3. Let z(k) = 3 - 17*k**3 + 23*k**3 - 4*k - 1. Let t(p) = -4*g(p) + 3*z(p). What is the derivative of t(i) wrt i?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 80 - 19 = o, 4*d + 2*o = 44. Let h = d + -8. Let z be -2 + h - (-46)\/(-18). Which is the second smallest value? (a) z (b) 0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 10057?\nAnswer: 10057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2022\/21 - 4\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8034370*i - 2334654?\nAnswer: -8034370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.028 times -0.01\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 2)\/((-5)\/15). Suppose 4*s = i*g + 15, -3*s - s = -5*g - 17. Calculate the least common multiple of s and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 79*s - 169. What is d(0)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7650, 15299, 22944, 30585, 38222, 45855, 53484?\n\"Answer: -2*s**2 + 7655*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12 + 13)\/(((-1)\/2)\/(-1)). Suppose -3*d - 5*z + 2*z = -327, -121 = -d - 4*z. Suppose -11*a + d = -4*a. Solve -7*l + n*l = -a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40058 + -225606655\/5632. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 12*b**2 - 24*b + 33. Calculate s(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13512008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 394619.\nAnswer: 789238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29950.4 and 0.268.\nAnswer: 8026.7072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6 - 44*d - 22 + 16. Let t(g) = 4*g**2. What is h(t(b))?\nAnswer: -176*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (27\/18)\/((-6)\/(-16)) - -103. Solve -7*z + c = 121 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2943132 divided by -4\nAnswer: 735783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 378, 784, 1204, 1644, 2110, 2608?\n\"Answer: j**3 + j**2 + 396*j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 194 - 191.7. Which is the fourth biggest value? (a) q (b) 0.3 (c) -4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11014 + -42022234?\nAnswer: -42033303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 6:54 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22129 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/24*(-1404)\/780?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4526 - -4241. Put -1\/4, j, -1 in descending order.\nAnswer: -1\/4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2. Let k(v) = v + 1. Let r(h) = 4*h - 1. Suppose 0 = -3*s - 3. Let t(z) = s*r(z) - k(z). Calculate t(a(f)).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 0*m + 6. Suppose -m*d - 4*b + 57 = 15, 4*d - 5*b = 110. Suppose -d = -2*n - 5. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 23*t**4\/6 - 4*t**3\/3 + 40*t**2. Let a(n) = 2299*n - 198. Let q(h) = 4*a(h) - 99*v(h). Let w(g) = 2*g**2. Determine w(q(m)).\nAnswer: 15488*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-52332)\/(-63190) + -1*32\/40\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18*2\/(-12)*-4. Suppose 4*l = 12 + b. Let x = l + -1. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 + -51. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7740*c. Let a(u) = u. Determine r(a(o)).\nAnswer: -7740*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5488\/(-8232)*3\/(-31).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**9\/30240 + q**8\/4704 + q**7\/8820 - 8*q**5\/5 - 4*q**2 + 22*q. Let o(t) be the third derivative of d(t). Factor o(v).\nAnswer: 2*v*(v + 2)*(7*v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 4*q - 9. Calculate n(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78285 + 184802. Suppose -54967 = -12*r + k. Let v(s) = -r + 13457 - s**2. Let d(t) = -2*t. Calculate v(d(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14200140 + 0?\nAnswer: -14200140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0375 in -1\/2, 1\/6, -1, 0, 0.0181?\nAnswer: 0.0181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 82 + 72 - 235 + 81 - 3*j. Let i(y) = y + 4. Let m be i(-3). Let l(f) = m + f - 1. Give l(r(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 15*x**3 + 11*x**2 - 15*x - 21. Let s(y) = 3*y**3 + 2*y**2 - 3*y - 4. Calculate -2*k(p) + 11*s(p).\nAnswer: 3*p**3 - 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.153723 weeks to seconds.\nAnswer: 3116971.6704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.6 - 3. Let m = -10701 + 53504\/5. Which is bigger: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-10))\/((-3)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/18 + 20\/(-90). Suppose -2*c + 4*c = i + 10300252, -2*c + 10 = w. Let k = i - -40200242. What is k rounded to the nearest 1000000?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhnwhzzfhzhf. What is prob of picking 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3024)\/12)\/18)\/(-5)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9b3 - -a5c?\nAnswer: 1742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**0)\/d)\/d)**(-9\/10)\/((d\/(d\/(d*d**(1\/2))))\/(d\/((d\/d**(-2\/7))\/d))) assuming d is positive.\nAnswer: d**(4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -2) + (-18 - -23)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbb when three letters picked without replacement from bbbbwwbbbbbbbw?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 23. Let v(m) = m + 15. Let a(h) = -8*v(h) - 5*z(h). What is the smallest common multiple of a(4) and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-5)\/u)*u)\/u*u**(-12)*u*u**(-1\/10)*u*u**(-4) assuming u is positive.\nAnswer: u**(-71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*b + 3 + 81*b - 478*b.\nAnswer: -495*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*d + 2*j, 2*d + 1 = 4*j + 13. Let a(g) = g + d*g**2 - 3*g**3 + 2*g**3 + 3 + g**2. Give a(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119344 divided by 6\nAnswer: -59672\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 358*o**2 - 668*o - 110928. Determine r(-359).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.7 take away 30?\nAnswer: -24.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 8:35 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.00804786 and -1537?\nAnswer: 1537.00804786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**4\/42 + 46*x**3\/21 - 10110*x. Factor a(s).\nAnswer: 2*s*(s + 46)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 804 + -804.122. Let l = 0.222 + p. Let y = 112\/3 + -1226\/33. Which is the closest to 0.1? (a) -11 (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.05 + 55.45. Let u = -108.6 + o. Let q = u - -54.979. What is q rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + 7. Let k be j(-7). Suppose 5*q = 26 - 11. Let t = 199 + -198.7. What is the fourth biggest value in 1\/6, q, k, t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.03467 (b) 0.5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4724, 5, 1\/3, 0.13, -5.\nAnswer: -4724, -5, 0.13, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*5*-6 - -5*(sqrt(78) + (sqrt(78)*-2 - sqrt(78)) + sqrt(78) + sqrt(78)))\/(2*-2*(sqrt(6) + (sqrt(42)*4)\/sqrt(7))).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12685*g**5 + 565*g**3 - 1475*g**2 + 215*g**4 - 2910*g - 6333*g**5 - 6347*g**5 + 3600 = 0. Calculate g.\nAnswer: -40, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from cjgxy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/78 - 2)\/(16\/640*-6).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/7 - (-1 - 1) - 1368\/(-240).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**5 + 2*w**4 + 26*w**3 - 2*w**2 - 24*w = 0.\nAnswer: -3, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 70, 65, 58, 49, 38?\n\"Answer: -s**2 - 2*s + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-1) + -3)\/1. Let u be (-24 + 1)*(s + -1). Suppose 0 = -0*i - i + u. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4*u + 10, -5*u + 8 = -3*w + 23. Sort 0, -921, w.\nAnswer: -921, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/4, -1\/3, -3, 4 in descending order.\nAnswer: 5, 4, -1\/4, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/132 - 57\/(-11). Find the second derivative of o*r**2 - 9*r**2 - 12*r + r - 8*r**2 wrt r.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h. Let z(a) be the third derivative of a**5\/30 - 35*a**4\/12 - 108*a**2. Determine z(q(k)).\nAnswer: 18*k**2 + 210*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 4. Let a = d - -1. Suppose 5*h + 3 = -3*f, 5*h - 3*f = f + 4. Solve -2*k + 2*t + 2 = -a*t, 4*k - 5*t - 4 = h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*2*19*60\/380\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 185? (a) 2 (b) 1.8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(-6)*187416\/(-180) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 46 + 194 = 5*q, 61 = q - 3*u. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2))**(3\/14)*(q*q**(-1))\/(q*q**(-7\/2)*q*q*q) assuming q is positive.\nAnswer: q**(-11\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*g + 64*g**3 - 128*g**3 - 10*g**2 + 62*g**3 - 22*g**2 = 0. Calculate g.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25597995 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0353 + -0.0754. Let o = 1.8949 - w. Let t = o - 1.8. Round t to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21874212\/37 at least -591195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5247511 + -3141511. Suppose 0*d - v = -9*d. Round d to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 538415*n - 134603749. Calculate g(250).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 149.\nAnswer: 59.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-102)\/(-85)*1*20\/(-6). What is the common denominator of 121\/20 and 35\/q*(-6 + (-5 - -9))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixiixslxqxjx. Give prob of picking 1 j and 1 q.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10675 is divided by 2002?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6083 + -103413\/17. Let q = 81 + -55. Which is the second smallest value? (a) q (b) 2\/7 (c) f (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*d - 54. Let y = d + 146. List the prime factors of y.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7832 plus -0.34?\nAnswer: -7832.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 10*w**2 + 27*w - 16. Let y(q) = 11*q**2 + 30*q - 17. Let u(x) = -7*h(x) + 6*y(x). Give u(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 438326959?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 433 = -6*v + 3*v, 5*v - 4*c + 725 = 0. Let a = v - -237. Calculate the remainder when a is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2458 - -4702. What are the prime factors of a?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 2*r + 6. Suppose -4*b - 20 = 3*z, -5*b - 12*z + 8*z - 25 = 0. Determine q(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 4 + 13 + 29. Suppose 36*r + 9060 = d*r. What is r rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 9*x + 28 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022 (base 3) to base 11.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2 - 3*f + 2. Let k be h(1). Let d = 32.7 + -34. Let q = 1 + d. Which is smaller: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + (-21)\/12)*0. Suppose l = 3*u - 21 - 24. What is the remainder when u is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2979*v + 1490*v - v**3 + 1489*v - 7*v**3 - 6.\nAnswer: -8*v**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l - 1472. Let w(a) = -a**2 + a + 3. Determine -2*w(z) + y(z).\nAnswer: 2*z**2 - 1478","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 66?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -1)*4*1. List the prime factors of (4 + 0)*30\/u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 219 = 5*q. Let t = q - 28. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1606 + -1690. Let k = -18.4 + -51.4. Let c = k - t. Round c to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4395 divided by 5\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c = 6, j - 2*c = 63. Suppose 0 = o - 3*m - 36, -4*o + 47 = -5*m - j. What is the highest common factor of 168 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2509 + -34178.\nAnswer: -36687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7035 is divided by 1329.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*((f*f*f**(2\/15)*f)\/f)\/f*f*f)**(-42)\/(f**25\/(f*f*f*f\/(f\/f**16))) assuming f is positive.\nAnswer: f**(-898\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*f + 18*f - 28*f)*(3 - 4 + 5).\nAnswer: -132*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15264 is divided by 805?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 957 = 37*h. Which is bigger: h or 21?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 633674.\nAnswer: 2, 101, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + (-1 - -8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5092 is divided by 2510?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 2871737*t**2 + 11486936*t + 11486932.\nAnswer: (t + 2)**2*(t + 2871733)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 10. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -223 + 152. Let h = -49 - i. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 3*d**2 - 4*d + 5. Let a be f(4). Suppose 5 = -2*j - 3*j, -a*o = 2*j + 22. Let b = 18 + o. Calculate the remainder when b is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.019 - -0.01845. What is l rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520053031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 - -1) - (-25 - -25).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**6\/8 - u**4\/12 + u**3\/6 - 6*u**2. Calculate m(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.9 + 7.1. Suppose -3*d + 4 = 7. Sort d, 2, -0.4, k in descending order.\nAnswer: 2, k, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-5))\/((-74)\/(-555)). Sort -0.5, 2, h, -5.\nAnswer: -5, h, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99043781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than -588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-43)\/(-4) + (-72)\/96. Suppose -58 = -2*v - 2*t, v - 43 = -5*t - s. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.01, -30, -54 in descending order.\nAnswer: 3, -0.01, -30, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 1.597 (c) -25 (d) -0.6 (e) -2 (f) -14\/5 (g) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-2 - (-5)\/3). Let s be ((-15)\/10)\/(k\/(-2)). Is s equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(28\/(-88)) - (-3 - -1). Solve -4*w + p + o = -p, -2*w = -3*p - 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 - 3*j**2 - 2*j**5 + (29*j**4 + 86*j**4 - 24*j**4)*(-1 - 4 + 3)*(0*j + 0*j + 2*j).\nAnswer: -366*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188089 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*p**3*u**2 - p**3*u - 17620*p**3 + 11*p**2*u**2 - p*u**2 - 3*p*u - 137*u + 39 wrt p.\nAnswer: -36*u**2 - 6*u - 105720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 - x**2 - 7*x**3 + (0*x**2 + 0*x**2 + 2*x**2)*(-2*x + 3 - 3) - 3*x**3 - 4*x**3 + 5*x**3 - x**3 - x**3 - x**2 + 0*x**2.\nAnswer: -15*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13\/68 + -1\/17. Which is the third biggest value? (a) 4 (b) -1\/6 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 6*d**2 - 8*d + 65. Let i be a(-8). Sort -2, 4, 106, i.\nAnswer: -2, i, 4, 106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmflzzfzzz. What is prob of sequence mzw?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -8.93728?\nAnswer: 9.13728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 162763*q**2 - 81367*q**2 + 0 - 81414*q**2 - 2.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529 is divided by 445?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y + 1. Let c(g) = 10*g + 65. Give c(i) - 3*j(i).\nAnswer: i + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g + 3*g + 3*g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 - 12594*m**2 - 6*m**3 + 12594*m**2.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 8*a - 8. Let h = 1334\/55 - 280\/11. Calculate the common denominator of c(6) and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128702?\nAnswer: 2, 7, 29, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 15*z + 3*z)*(-z + 2*z**2 + 3*z + 0*z**2).\nAnswer: 28*z**3 + 28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2.78*6\nAnswer: 16.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 20\/411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39139385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4533*w**2 + 1241 - 1667*w**2 + 14*w**2 wrt w?\nAnswer: -12372*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 times 2.2?\nAnswer: 138.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2046 equal to 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44556 is divided by 1703?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 4. Let f = -123 - -127. Suppose -f*t - 14 = 6. Calculate n(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -3*sqrt(1300) + -1 + sqrt(1300) + -4 - (sqrt(1300) + -2*sqrt(1300) + sqrt(1300) + 3 - (sqrt(1300) - (sqrt(1300)*1 + -3) - sqrt(1300)))*2)*-1)**2.\nAnswer: 320*sqrt(13) + 20816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, 2.82, 18, -4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 6 = -5*j. Let w(n) = -6*n - 4. Let v(f) = -f - 1. What is j*v(l) - w(l)?\nAnswer: 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4420331 (base 6) in base 5?\nAnswer: -24023242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-2))\/(192\/(-512)). Suppose -z*q + 3334 = -5*t + 793, 3*q - 1914 = t. List the prime factors of q.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29560 + 29559.5. Which is the biggest value? (a) 1\/7 (b) f (c) -1\/6 (d) 0.4 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**2 - k + 6. Let h(f) = f + 1. Give 3*h(c) + 3*w(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53572*l*q**2 - 26*l*q - 2487*l + 1385*q**2 + q - 1 wrt q.\nAnswer: 107144*l + 2770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -206108.672 to the nearest 100.\nAnswer: -206100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 7*c**2 - 7*c + 9. Let h be g(6). Let j be (1\/h)\/((-4)\/(-84)). Suppose -s = 4*s - 35. Are s and j unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 7206 = 7*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) 16 (c) -54.1 (d) -0.13 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -118, -322, -632, -1054, -1594, -2258?\n\"Answer: -t**3 - 44*t**2 + 35*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(80) + sqrt(80) + -1 + sqrt(80) + -1 + sqrt(80))**2.\nAnswer: -192*sqrt(5) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - (-42 - -3) - -23.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s - 15. Let u(g) = -9*g - 1. Let f be u(1). Let r be b(f). Solve 0 = 5*l - 0 + r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4398769 to the power of 1\/2, to the nearest integer?\nAnswer: 2097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1201100021110 (base 3) to base 14\nAnswer: -19a5da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2aa3 - -38256?\nAnswer: 40249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(1377) - sqrt(1377)) + 1)**2 + (sqrt(170) + sqrt(170) + -6*(sqrt(170) - 4*sqrt(170)) + sqrt(170))\/sqrt(10).\nAnswer: -87*sqrt(17) + 49573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4730 = 2*p, 3*p - 3552 = -3*h - 0*p. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79.1 - 23.3. What is g rounded to the nearest integer?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -4*s + 5*h, -3*h + 0 = -3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 4) + -1 - (10 - 20).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12560069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81622666 and 370.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16028, 35606, 55184, 74762, 94340, 113918?\nAnswer: 133496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*r + 55 - 28*r - 18.\nAnswer: -149*r + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*x + 2*x. Let o = -38 + 70. Calculate the greatest common factor of o and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 17*q**2 - 15*q**2 + 82*q**2 - 19*q**2. Let o(z) = 21*z**2. What is b(o(i))?\nAnswer: 13230*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**5\/60 - a**3\/6 + 3*a. Let l(y) be the second derivative of c(y). Let h(v) = -8*v. Calculate l(h(u)).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -41535.869.\nAnswer: -41535.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 14*o**2 + 16*o - 18. Let t be a(15). Let i be 7 - t\/(2\/(-2)). Suppose i*j - 68 = -4*n, n - 4*j - 11 = -2*j. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163447 to the power of 1\/2, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1163 = -3*h + 80*q - 81*q, 2*h = 5*q + 798. Solve -h*a + 382*a = 42 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 23*a - 2*a - 14*a)*(a + 143 - 150 + 7*a).\nAnswer: 56*a**2 - 73*a + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36028070 and 26110.\nAnswer: 3730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551318749.\nAnswer: 551318749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 7*k**2 + 4*k - 25. Let b be d(7). Suppose 3*i = -0*i - 9, -i = b*z - 48. Calculate the remainder when z is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 11*x - 1. Let n(g) = -5*g**2 - 5*g**2 - 13*g - 6 + 7*g**2 + 0*g**2. Let w be n(-2). Let f(o) = 17*o - 2. Give w*q(z) - 5*f(z).\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8857 + 8856.55. Which is the fourth smallest value? (a) -1\/5 (b) 4 (c) j (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*s**2 - 5*s**2 + 0*s**2 + (-s + 3*s - 3*s)*(4 - 2*s - 4))*(-5 - 5 + 2).\nAnswer: 536*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 12. Which is the fourth biggest value? (a) 1 (b) k (c) 5 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -558*l + u + 19 = -561*l, -4*l = -2*u + 22 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 15 + 30. Suppose 0 = 12*h - 893 + 173. Suppose -4*q + 2*l - 3*l = -f, -4*l + h = 4*q. Solve -a - q = -2*t, 5*a + 3*t = t - 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018.073 rounded to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s - 4 + 4 + 0.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = j - 10, -35 = -5*d - 4*j. Let y be (-4)\/(-10) + 8\/5. Suppose b + 5 = y*b - n, -4*n = b + 20. Solve -24 = 3*w + d*q, b = 8*w - 3*w - 4*q - 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y - y - 5*y + 2*y + y**2 to the form j*y + q*y**2 + o and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732873 is divided by 715.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4457 is divided by 2225.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 1.51?\nAnswer: 1.51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 693, 5, -24 in decreasing order.\nAnswer: 693, 5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/99 and -187\/92640.\nAnswer: 3057120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 58812013 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 5*g + 0*g)*(3 + 0 - 1 + (0 + 3 - 4)*(3 - 3 - 1) + 6 - 18 - 9)*(39*g**4 - 58*g**4 + 31*g**4).\nAnswer: 432*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 385.983 - 386. What is s rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 95624.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/25608204 and 89\/49546.\nAnswer: 179257428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8162 - -24212\/3. Let a = 92 + u. Is a not equal to -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*p**3 + 12*p**3 + p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -396*q - 13857. Determine v(-35).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*b + 7. Let h = -5 + 8. Let l(y) = -h*y - 7 + 7*y + 3. Give l(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 41, -8, 2, -16 in increasing order.\nAnswer: -16, -8, -1, 1, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/8)\/((-50)\/200).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a hour in minutes?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p - 3. Let a be j(3). Let v = -10 - a. Solve -15 = 5*c - v*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890 is divided by 64.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*(-4)\/((-32)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(500) - (1 + sqrt(500))*-4) + sqrt(500) + 3 + -1*sqrt(500))**2*2.\nAnswer: 2000*sqrt(5) + 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 9) to base 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 4\/53, 0.4?\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*((a*a**7)\/a)\/a*a*a*a*a*a)**(-1\/5) assuming a is positive.\nAnswer: a**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2937802047?\nAnswer: 3, 979267349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 - 35. Calculate the remainder when q is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190480, 381829, 573178, 764527, 955876, 1147225?\nAnswer: 1338574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12656799?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.852 - -9.852. Which is smaller: o or 602?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1611.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 101826, 100728, 99630, 98532, 97434?\n\"Answer: -1098*z + 102924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (1 + -1 + 0)) + 65 + -74?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -102313102?\nAnswer: 102313042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/18 + (-32)\/18. Let d = 1 - -1. Let j(t) = 2 - 2*t**2 - 4*t + 0*t**d - 4. Determine j(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufff when four letters picked without replacement from fffuffffffuuffff?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4 + 39. Let t(g) = g + 1. Let h(f) = -6*f - 17. Let y(v) = h(v) - 5*t(v). Calculate the remainder when y(p) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 4*c**2 + 5*c + 6. Let b(m) = -m**3 - 4*m**2 - 2*m + 3. Let u be b(-4). Let o be -1 + -1 + u - 2. Let p = 12 - o. Give v(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*r**2 + 102*r + 9117 wrt r.\nAnswer: 30*r + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1916202, -1916243, -1916304, -1916379, -1916462, -1916547, -1916628?\n\"Answer: l**3 - 16*l**2 - 1916187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*(2 + 63\/(-2))?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - 35\/(-1))\/3. Let x = 143 + -222. Calculate the common denominator of -6 and m\/(-6)*x\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/1267?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 8:11 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = o - 0*a + 30, 5*o + 4*a + 5 = 0. Put o, -1, 1 in increasing order.\nAnswer: o, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 9*c - 3*k + 32, -2*c - 24 = -4*k. Let a be -3*((-24)\/9)\/c. Calculate the remainder when (58*a)\/(2 - 4) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 456\/(-60)*((-1)\/4)\/((-63)\/(-252)).\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2. Let v(k) be the second derivative of 0 + 15*k + 13\/12*k**4 + 0*k**2 + 0*k**3. Calculate l(v(b)).\nAnswer: -338*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 1:04 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4990 + 2*s**2 + 65*s - 6*s**2 + s**2 - 4995.\nAnswer: -3*s**2 + 65*s - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 81*r**2 - 165*r - 532. What is g(-79)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.03 (c) 0.06 (d) -6716 (e) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2822?\nAnswer: 2, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -18 (b) 1\/5 (c) 32 (d) -68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/(r\/(r\/(r**(2\/37)\/r))*r*r*r)*r)))\/(r**(-31)\/r)*(r**16)**(-10) assuming r is positive.\nAnswer: r**(-4738\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3063960 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3218 + 6052. What are the prime factors of f?\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-10)*o**(-1\/8))\/((o\/(o**9\/o))\/((o**(-4)\/o)\/o)) assuming o is positive.\nAnswer: o**(-65\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 235 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(12\/13)*(f**19*f*f)\/f*f**(-30)*f*f**(2\/59) assuming f is positive.\nAnswer: f**(-5402\/767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*((-144)\/1092)\/(-6).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 39*k. Let i(x) = -21*x**2 + 3*x - 6. Let d(z) = 250*z**2 - 35*z + 70. Let l(w) = 3*d(w) + 35*i(w). Determine r(l(q)).\nAnswer: 585*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/15)\/(-2)*(-100)\/(-220)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*g - 3*y + 4, 4*g + 4*y - 12 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 14 = 4*i, -2*p = 5*i + 2*p - 19. Suppose 21 = i*b - 3. Suppose 2*a - 53 = -5*m, 1105*m + 5*a + 95 = 1110*m. Solve -m = -g - b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 20 + 29 = 5*m, -2*m + 2*p = -18. Let j = 0.18 - -4.82. Which is the closest to m? (a) -1\/4 (b) j (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27303, -27298, -27291, -27282, -27271, -27258?\nAnswer: -27243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100065395 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 2*z + 10. Let b be v(-4). Suppose -3 + 14 = n + 4*m, 4*m = -b*n + 14. Suppose 388 = n*h - 305. Is 33 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -71420, -71429, -71444, -71465, -71492, -71525, -71564?\n\"Answer: -3*c**2 - 71417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33006132 is divided by 33006122?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1419906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/7826 and -191\/1119720?\nAnswer: 14556360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 147648380 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: Evaluate 12\/6*(-5)\/(-55).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + -3c1e4?\nAnswer: -3c203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9587.028 minutes to milliseconds.\nAnswer: 575221680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 145170 a multiple of 502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 809443, 809352, 809261, 809170, 809079, 808988?\nAnswer: 808897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + w = 6*w + 35, 4*i = -3*w. Suppose -10 = -i*m + 350. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -351 + 236. Let q = h + 115.0000061. What is q rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l**3 - 15*l**2 + 63*l + 29. Is q(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2\/3 + 21457862*k\/3 + 42915716\/3 = 0. What is k?\nAnswer: -10728929, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9630 times -541?\nAnswer: 5209830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 20) + (0 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/5616 and 2452\/132 + -20 + 1.\nAnswer: 61776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 321 and 22966694?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10ab4 + -270?\nAnswer: 10844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2. Let g(l) = -l**2 - 6*l + 9. Let i(d) = -g(d) - 2*q(d). Let i(w) = 0. What is w?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 15*m**2 - 13*m + 7. Let y be z(-14). Let x be (-3)\/(-2) - (-5)\/(-10). Let v be -9 - -12 - y*x. What is the highest common factor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svjjjjzh. Give prob of sequence jhj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 8, 4*o + 17 = -o + 4*h. Which is the nearest to 1? (a) o (b) 18 (c) 1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 4*t**7\/105 + t**5\/15 - 3*t**2. Find the third derivative of g(y) wrt y.\nAnswer: 192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1951, -1944, -1921, -1876, -1803, -1696?\n\"Answer: w**3 + 2*w**2 - 6*w - 1948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*((-8)\/20 + 0) - 466. Let x be 1 + 10\/(-12) - t\/96. Let z(h) = h**3 + 5*h - 6. What is the units digit of z(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/73615 and -37\/9.\nAnswer: 662535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 104\/11, 0.1, 1\/3 in descending order.\nAnswer: 104\/11, 1\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13267772?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*2*sqrt(2299) - (sqrt(2299) + sqrt(2299) + 1 + 5) - (sqrt(2299) - ((sqrt(2299) - (4 + sqrt(2299) + 1)) + sqrt(2299)))*2) + 5 + 1 + 1)**2.\nAnswer: 792*sqrt(19) + 36865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116708004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 + 3.03. Let u = -4570 + 4571. Let h = -329\/8 + 41. What is the nearest to u in h, 5, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*(3 + sqrt(80) + -4 - (-4 + sqrt(80)*-3 - sqrt(80) - sqrt(80) - sqrt(80)))*5)**2.\nAnswer: 3920*sqrt(5) + 98196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**4 - z**3 - 1. Let r(o) = 6*o**4 - 7*o**3 - o**2 + 2*o - 5. Let n(g) = 5*m(g) - r(g). Factor n(w).\nAnswer: -w*(w - 2)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -3) + 2 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*y - s, -11*y - s - 6 = -13*y. What is the closest to -1 in y, 98, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 36119967 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5409*y + 11702 = -42388 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + n + 5*j - 28460, 0 = -n + 3*j + 9468. What is n rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-28) + 5\/(-20).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -67 (base 8) to base 2\nAnswer: -110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/4, -3, 0.02, 1, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, p: 3}. What is prob of picking 3 p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*4*5)\/(sqrt(10) + sqrt(360)*4))**2.\nAnswer: 176\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -13\/304521?\nAnswer: -13\/304521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 12*f**2 + 63*f**2 + 151*f**2 - 6*f + 1.\nAnswer: 202*f**2 - 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 2 (c) -24419\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2 - 3636*i + 529*i + 6 in the form a + v*i and give v.\nAnswer: -3107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -4, -1, -5 in increasing order.\nAnswer: -5, -4, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 s, and 1 p when four letters picked without replacement from {p: 1, l: 2, w: 1, u: 2, r: 2, s: 5}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2cd07cb - 5?\nAnswer: -2cd07d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3472084501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = x - 4*i, 7*x + 21 = 6*x - 5*i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 3*o**2 + 12*o - 38. Give c(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 530 - 179 + 6*x**2 - 180 - 176 in the form u + d*x**2 + h*x and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -276*p + 74252. Calculate w(269).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*l + 3*l + 2*l + 0 + 0 + 3*l + (-2*l + 2 - 2)*(2 + 2 - 3) + 3*l - 2*l + 0*l + 3 - 6*l - 3 + 3*l + 0*l - 2*l + 3 - 3 + 2*l + (1 - 5 + 3)*(4*l - l - 2*l).\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 4. Let z be j(-3). Let l(g) = 2*g + 1. Let p be l(-1). Is p bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 7074 = -2507. What are the prime factors of z?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 20 = 0, 25 = 2*d + 3*d + n. Suppose 6 + 2 = -4*k. Let h = -23 - -19. Sort k, h, d in increasing order.\nAnswer: h, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 1 + 3)*(170 - 170 + 50*s) + 0*s - 8*s - 2*s.\nAnswer: 690*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*z - 10 - 17 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 127031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 5*a**2 + 0*a**2)*(0*a - 8*a**2 + 0*a).\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314492313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in -17539631, 2, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -467 by -17.\nAnswer: 467\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -11) + (15 - (-16 - -14) - 10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 6 - 4. Let n(i) be the third derivative of -i**5\/60 - 7*i**4\/24 + i**3 + i**2. Let z be n(-8). Sort k, 1, z in decreasing order.\nAnswer: 1, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - c)*(20858 - 20858 + 186*c) in the form a*c**2 + s*c + u and give a.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -66, 2\/3, -2\/5, 0.7 in decreasing order.\nAnswer: 0.7, 2\/3, -0.05, -2\/5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 188730*r - 2. Let x be k(1). Suppose -27272 = -8*w + x. What is w rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -773 + 762 - (9 - 0)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*q + q + 17, -q = 2*w - 23. Let u = 59 + -75. Let s be (u\/w + 1)\/(1\/(-12)). Solve s*o = 2*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 - 2*u**3 + 4*u**3 + (-4*u + 4*u - u**2)*(3*u - u - 3*u) + (-4*u + u + u)*(116*u + 3 - 3)*(0 + 0 + 3*u).\nAnswer: -693*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-5)\/(-240) - 46\/(-40)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**4\/4 - 2*j**3 + 2*j - 29. What is m(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1289 + 1158.3. Let k = s + 131. Let p = -5.9 - -1.9. Which is the nearest to 2\/3? (a) p (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**4 + 219*i**3 + 1266*i**2 - 7788*i + 8712 = 0.\nAnswer: -66, -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 - r**2 + 5*r**2)*(180*r**2 + 4*r**3 - 190*r**2 - 8*r**3).\nAnswer: -4*r**5 - 10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*w + 10, 5*w + 15 - 60 = -4*f. Suppose -4*p + 312 = -7*o + 5*o, f*o = 4*p - 318. Is p 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 11:47 AM and 7:39 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -26. Let l = w + -6. Let u be 3\/4 - (-186)\/8. Solve -i + u = -5*k, i + l*k = -2*k - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 + 77*m - 104. Is f(13) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1243320 (base 7) in base 9?\nAnswer: 266263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*96\/(67968\/3953)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51\/101 - -557\/303. Let 2*t**2 - 2\/3*t - d = 0. Calculate t.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 8, 0, 3 in decreasing order.\nAnswer: 52, 8, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 11*w**2 + 13*w + 24. What is k(-11)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 - -35. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(2*x + 2 - 2) + x + 2 - 2 + 3871*x + 3984*x - 7959*x + 8.\nAnswer: -107*x + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 128.5\nAnswer: 642.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18372, -77042, -174822, -311712, -487712?\n\"Answer: -19555*c**2 - 5*c + 1188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 7*m**2 - 9*m + 5. Let k(v) = -5*v**3 + 36*v**2 + 46*v - 24. Let h(w) = 11*i(w) + 2*k(w). Let p = 530 - 524. Determine h(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 2. Suppose 0 = r - 6 + h. Solve 2*v = -r*k - 8, 2*k = -v - 2*v - 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 5, 2*q + 11 = 5*h + 3*q. Solve 5*r = h*n + 5, -5*n - 2*r + 21 = -10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19714*z**6 + 3*z**4 - 80653*z**2 wrt z.\nAnswer: 2365680*z**3 + 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/6)\/((-3)\/9). Let q(k) = 2*k**2 - 2*k + 1. Let g be q(r). Suppose -3*i = 2*i - g. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18740 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*s - 3202 = -133. Sort -4, -6, s in descending order.\nAnswer: -4, -6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 50*f**2 - 270*f + 145. Calculate o(-55).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, r: 4}. Give prob of picking 3 r.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116711 is divided by 33.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 39, -3, -2, 0.025?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -2 - -2 - (13 + (-20 - -14 - 30))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631018207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/8897 and 31\/164.\nAnswer: 35588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/5)\/q*q*q*(q*((q**(-3\/5)*q*q)\/q)\/q)\/q)**(35\/3))**15)**21 assuming q is positive.\nAnswer: q**2940","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 857882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*260\/(-546)*-3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -1\/6, 5, 142, -3 in decreasing order.\nAnswer: 142, 5, 1\/5, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 23*g - 21. Let u(n) = 5*n - 4. Let c(h) = 2*f(h) - 11*u(h). Differentiate c(s) with respect to s.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/35 (b) -11424 (c) 5 (d) 0.1 (e) -0.5 (f) -2 (g) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**5\/20 - 842*b**2. Let r(u) = -427*u + 2. Give k(r(a)).\nAnswer: -546987*a**2 + 5124*a - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 14 = 3*i, -t + 1755 = 3*i + 1751 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36 + 0 + 2 + 4. Let k = d + -43. Let i(s) = -4*s**3 - 2*s**2 + 1. Calculate i(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2590851 to the power of 1\/2, to the nearest integer?\nAnswer: 1610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 38*k - 2. Let y = 15 - 16. Let p be s(y). Let m be 1 + -3 - 88\/p. What is the second biggest value in m, -1, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1 (b) 0.4 (c) 6 (d) -0.074\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2982*c**2 - 168*c. Let h(v) = -89*v**2 + 5*v. Let p(j) = -168*h(j) - 5*x(j). Let l(s) = -5*s**2. Give p(l(n)).\nAnswer: 1050*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -25. Suppose 0 = 5*z - g*z + 35. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -495 + 650. Let s = w - 146. Sort -0.03, s, 1\/5.\nAnswer: -0.03, 1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/(-28)*14\/4. Let j = s + -71\/20. Let c be (-16)\/(-7) + -1 + -1. What is the third biggest value in -3, 2\/3, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9620.24313 to zero decimal places.\nAnswer: 9620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15688, 31183, 46678, 62173?\n\"Answer: 15495*u + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34 and -143?\nAnswer: 4862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.88168 millilitres to litres.\nAnswer: 0.04788168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2. Let m(t) = t - 16. Let n(h) = -m(h) + 6*w(h). Let y(v) = -v + 5. Determine -7*n(a) + 6*y(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19013\/1388 - 18\/347. Which is smaller: a or -13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -1\/5 (c) -566 (d) 9 (e) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 10:25 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 6*q + 0*q)*(4 + 1 - 4) + 3*q + 1 - 5*q + 3*q + 7*q - 5*q + 3*q + (1 - 1 - 2*q)*(3 - 4 - 1).\nAnswer: 6*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1174*g**2*z**3 - 22*g**2*z - 377*g*z**2 + 5*g*z + 1187*z**4 wrt z?\nAnswer: -7044*g**2 + 28488*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 o when three letters picked without replacement from {o: 2, a: 1, n: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 - 3*d + 69. Let w(u) = 5*u**2 + 9*u - 155. What is 9*r(b) + 4*w(b)?\nAnswer: 2*b**2 + 9*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t**3 - 5*t + 3. Suppose q + 5*o = -7, 5*q - 11*o = -12*o + 13. Let w(f) = -7*f**3 + 6*f - 4. Determine q*w(l) + 4*m(l).\nAnswer: 7*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18897023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y - 24 = 0. Let l(z) be the first derivative of z**4\/4 + 2*z**3 - z**2 - 7*z + 2. Let h be l(y). What is the highest common factor of 55 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(3\/4)*i*i)\/(i**(-2\/81)*i) assuming i is positive.\nAnswer: i**(737\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 = 2*k, 11*k - 9*k - 20 = 5*x. What is i in 2\/3*i**2 + 10\/9*i**3 - 2\/9*i**5 + 2\/9*i**4 + 0*i + k = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2253 + -1434. What is the smallest common multiple of t and 77?\nAnswer: 9009","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0.4. Let o(b) = 4*b**3 + 2*b**2 - b - 1. Let c be o(1). Let n be (-7 + c - -7) + -5. What is the nearest to n in 4, 0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3 + 576*d**2 - 1136*d wrt d?\nAnswer: 6*d + 1152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) -0.4 (c) -184\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 6)*(4*h + 2*h - 4*h)*(0 + 5 - 4)*(-6 + 1 + 4) in the form s*h + o and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 2 (c) -14\/55 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2152737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24 + 0*k + 2*k - 26 + (5*k - k - 2*k)*(3 + 5 - 3) + 0 + 4*k + 0.\nAnswer: 16*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2 (c) 2 (d) 6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45287839 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14969*t**2 - 40 + 75 + t - t - 30.\nAnswer: -14969*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 143.9 + -143.5. What is the biggest value in -0.2, -70\/11, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 11*p = 0. Suppose 3*z - 212 = 2*y - 0*y, p = -2*z - y + 139. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 3:06 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-60) + (-6)\/10?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-168)*-8 - 627\/4410. Let c(t) be the third derivative of 1\/168*t**4 + 0*t**3 + 0*t + 0 - 1\/420*t**5 + n*t**7 - 14*t**2 - 1\/840*t**6. Factor c(i).\nAnswer: i*(i - 1)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7212081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 229554 + -229553.99999753803. Round m to seven dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-3))\/(9\/(-162)). Suppose 0 = h - j + 1. Let i = 19 - 9. Solve -h*u - i = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -536, -1243, -1950, -2657, -3364?\n\"Answer: -707*d + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 12*q**2 - 20*q + 100. Let l be v(11). Is l smaller than -6\/907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**4)**36\/((m*(m**(-6)*m)\/m)\/(m**7\/m)))**(1\/3) assuming m is positive.\nAnswer: m**(155\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 1\/12*c**4 - 1\/3*c**3 + 1\/2*c**2 - 4*c + 0. Let i(a) = 0. What is a?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 - 111. Suppose -3*a + 14 = s, 18 - 2 = 2*s + 3*a. What are the prime factors of (-581)\/x - s\/(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4.49, 1\/4, -0.1?\nAnswer: 4.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64727020 divided by 4?\nAnswer: 16181755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -139, -244, -527, -1078, -1987, -3344, -5239?\n\"Answer: -15*n**3 + n**2 - 3*n - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 + -20 + 14 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 53, 126, 263, 488?\nAnswer: 825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -176 + 176.099. Round t to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -139*f + 31. Let s(p) = 9*p - 2. Let i(r) = 93*s(r) + 6*w(r). Let j(y) = -158*y. What is j(i(c))?\nAnswer: -474*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 13) + 52*684\/2574.\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*o**2 + 405*o**2 - 100*o**2 + 358*o**2 - 10*o**2.\nAnswer: 621*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -254640 divided by -5\nAnswer: 50928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79086 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i*q - 1049*i + 1633*q wrt i.\nAnswer: -2*q - 1049","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 59 = q - 158, -2*q = 3*a - 164. Calculate the remainder when 130 is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, j: 1, k: 2, w: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31916 - 2*k - 31916.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 336a8434?\nAnswer: 336a8435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2 = 0, -13079*q + 13077*q = g + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12)\/(-1)*(-61)\/((-915)\/(-20))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -520?\nAnswer: 520.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*(-1 + sqrt(1539)))**2.\nAnswer: 54*sqrt(19) + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 58. Put 2, m, 5 in ascending order.\nAnswer: m, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78119 - 26036 - 26040 - 16*r**2 + 15*r**2 - 26043 - 2*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, w: 2}. Give prob of sequence wsw.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 367 - -73. What are the prime factors of g?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2*(sqrt(48) - sqrt(3)) - (4*sqrt(15))\/sqrt(5)) + 6*-6*6*3*sqrt(3))**2.\nAnswer: -7511688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-88164)\/18600)\/((-162)\/(-5)) and -29\/810?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.917 - -0.917. Let a be ((-1)\/(-3))\/(8 + 68\/(-8)). Put a, k, 5, -3\/4 in decreasing order.\nAnswer: 5, a, -3\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -8. Let q be (f - 3\/9)*0. Solve k - 3*k + 2 = q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*(-138)\/(-92)*-8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from wwrr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 + 106 - 5*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 66 = -2*u - 5*f, 4*f - 33 = -u. Is (-192948)\/(-44) + (-6)\/u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2\/7 - 4*o\/7 + 6\/7 = 0. What is o?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 - 5)*(-5)\/(-2). Solve 3*a = -4*x + 14, x = -0*a + r*a - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 16) to base 12.\nAnswer: -196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1078953?\nAnswer: 3, 19, 23, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169237575?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46527 + 6?\nAnswer: -46521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/9)\/(4\/(-18))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2007585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/20, -3335, -1\/10, 6?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -12, -3 in descending order.\nAnswer: 53, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20178 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/28745 and 52\/17247.\nAnswer: 86235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 20, -2 in descending order.\nAnswer: 20, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5147*l**3 - 5154*l**3 - 5151*l**3 - 5165*l**3 + 20608*l**3.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21431 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 161 and 69?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6117979930.\nAnswer: 2, 5, 611797993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41708185 to the nearest integer?\nAnswer: 6458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.069922 - 0.07. What is b rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**5\/2 + 2*d**4 - 36*d**3 + 128*d**2 - 184*d + 96 = 0.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j = 33. Let q = 54 - j. Suppose 20 + q = 5*u. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (1 - -34*1). Let o = 61 + f. Calculate the remainder when o is divided by 1\/3 + 52\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14644620413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.325*-205918.\nAnswer: -66923.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6*(-3)\/(-2)*464\/48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*8*1\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020168015 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56697.\nAnswer: 3, 18899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/2764511 and -1\/2651.\nAnswer: 30409621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3010 (base 5) to base 8\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (137 + 88 + -119).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(1\/7)*(k*k**(2\/3))**(-17)*(k\/(k*k*k**(-2\/9)*k*k)*k**(-5))\/(k**(-1\/3))**(7\/4) assuming k is positive.\nAnswer: k**(-8989\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 45908.67 nanoseconds?\nAnswer: 0.0000007651445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-882)\/315*(-5)\/(-2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3 - 21 = 0. Let s = k - 6. What are the prime factors of 18 - (s - (1 - 0))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1999\/2709 + 12\/301. What is the common denominator of n and 27\/64?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l = 0. Suppose l = q + 3 - 8. Suppose 7 = 3*z - q. Solve -4*n = -3*p - z, 0 = -5*p + 4*n + 3 + 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3490, 6986, 10482?\n\"Answer: 3496*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4240 divided by -5?\nAnswer: -848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2 - 2 + 0 + 1 + (0 + 4 - 2)*(1 + 0 + 1) - 4 + 3 + 2)*(-3*q - 2 + 2) + 2*q - q - 2*q.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 9*n + 4*n)*(2*n + 4*n - 3*n)*(n**3 + 4*n**3 - 4*n**3).\nAnswer: -3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3312 divided by -3?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 31. What are the prime factors of (p - 30\/26) + (-3762)\/(-117)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -6*y + 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220212 + 0?\nAnswer: -1220212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and (-7*(-3)\/63)\/(5\/30).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**2 + 1499385*f - 52484600 = 0. Calculate f.\nAnswer: -299912, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 155227 (base 9) in base 5?\nAnswer: 11030221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2081*y**3 - 26*y**2 - 3*y + 15. Is c(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -18. Let p = u + 8.96. What is p rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*h*i**2*t**3 - 6*h*i**2 + 240*h*t**3 - 2*h*t**2 + 135*i**2*t wrt t.\nAnswer: 42*h*i**2 + 1440*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -88.3528 != -14.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 16. Let y be x(0). Let s be (-63)\/(-8) + (-5)\/(-40). Suppose -4*m + 56 = -2*r + y, -m = -5*r + s. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -474, -483, -504, -543, -606, -699, -828?\nAnswer: -999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22621760252519\/4818 - -4695259513. Let s = c - 2\/803. Find the common denominator of s and -2 + 3 - (-62)\/36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 7 + -29 + 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 9:04 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 12:27 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 598.3 + -584. Let j = h + -14.7. Sort -19, j, -3, 3 in increasing order.\nAnswer: -19, -3, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i + 1. Let f be (-90)\/(-8) + i\/(-4). Suppose f = 3*k - 1. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 - 50 = 38*r. Suppose -12 = 4*j - 7*j. Which is the nearest to r? (a) 3\/4 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10)*14)\/((-1694)\/(-7260)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 7 (b) -0.3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 + 0.2. Let d = 42 - 4. Let c = d + -38.2. What is the nearest to -1 in c, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 16\/29, 3, -5, 200?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + b**2 + 12. List the prime factors of g(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10166?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*n + 183*n = -178*n + 364 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 155 + 4512454?\nAnswer: 4513053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -3*b - 15, 0 = b - 5*f + 8456 - 8440 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0*y)\/y*y*y**(-2\/19)*y\/y**(-1\/3)*y**4*y*y)\/(y\/(y\/y**3*y*y)*y**(-1\/3))**(-5\/14) assuming y is positive.\nAnswer: y**(1126\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 525488710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*f - 25 = 3*c, 5*c - f = -39. Let w = -5 - c. Let n(t) = -t**w + 3*t**2 - t**2. Let g(y) = -y. Give g(n(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -347, -313, -279, -245, -211, -177?\n\"Answer: 34*k - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -59685335.37 to the nearest 1000000.\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 220*q**2 + 1328*q + 196208. Determine k(-222).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**4\/24 - z**3\/2 - 9*z**2\/4 - z. Suppose x(r) = 0. What is r?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7865 by 5.\nAnswer: -1573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) -4 (c) 0 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422*v + 419*v - 1248*v + 410*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167, -163, -157, -149, -139, -127?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68.4*-0.65.\nAnswer: -44.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1834 and 385?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19534162.5s in days?\nAnswer: 226.08984375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2799 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-6 - 1) + 1 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1863?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3080 - -3075. Let s(q) = 11*q**3 + 4*q. Let u(r) = -2*r + 6. Let i be u(4). Let b(d) = -5*d**3 - 2*d. Give i*s(n) + z*b(n).\nAnswer: 3*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*n - m - 4*m, n - 3*m = 1. Let k(p) = -p - 17. Let r be k(-11). Let s = r - n. Sort 1, 0, s, -1 in decreasing order.\nAnswer: s, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -1, -5 in ascending order.\nAnswer: -5, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m + 38*m**2 - 5*m.\nAnswer: 38*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -7. Suppose 22*g = 19*g - 24. Let c(j) = j**2 + 7*j - 4. Let s be c(g). Solve t - 20 = s*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -103, 4, 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2835))\/((3*sqrt(60))\/sqrt(12)) + 5.\nAnswer: 5 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -610 (base 9) to base 11.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q - 2. Let n be l(2). Let a = 18 + n. What is the lowest common multiple of 33 and 26 - (a - (4 + -1 - 0))?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(2\/7))\/z*z)**(30\/7))**(3\/13) assuming z is positive.\nAnswer: z**(810\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/832 and -7\/128.\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -2.\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 383491?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2463.9*-1.\nAnswer: 2463.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 18*m + 4. Let h(y) = -18*y - 5. Suppose -6*n = n - 49. Let s(k) = n*h(k) + 6*q(k). Find the first derivative of s(w) wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*l = 5, -7*d = -4*d + 4*l + 5. Suppose -5*w = s - 1 - 13, 0 = s - d*w - 54. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007118 rounded to four dps?\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -1 - -1 - -7. Suppose 0 = -0*r - 3*r + 9. Let a be (r + -3 + -1)\/(-1). Solve -3*x + l = a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9\/5, 0.05, 16\/29, 0.3?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19496808 and 396.\nAnswer: 214464888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000388937 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150954.6969ns to weeks.\nAnswer: 0.00000000024959440625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-14)\/(-21))\/1)\/((-14)\/(-1))\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 9) to base 6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2135891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -10. Let r(w) = -w + 13. Let j be r(10). Suppose k + m = j*k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/4, -0.06, 10, -0.5, 2436?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 40\/5*(2 + -1). Let a be -2 + (-3)\/(-2)*2. Let n be 2\/(-8) - 102\/(-24). Solve 3*v + 8 = d, v - a + h = -n*d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/3 - (-10)\/6. Let x = z + -14. Let c = -8 - x. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2516, -5062, -7610, -10160, -12712, -15266, -17822?\n\"Answer: -i**2 - 2543*i + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122 (base 3) in base 11?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 421 + -5?\nAnswer: 41b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kyyfooyyykagygg. Give prob of sequence kgyy.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 - (-272)\/80?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q - t = -2, 0 = 5*q + 5*t + 5. Solve -p = 2*p - q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90 + 127. Suppose -x + 83 + b = 0. What is the greatest common divisor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a - 63*a - 40*a + 4*a - 32*a.\nAnswer: -140*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -526850 - -526836.00106. Let y = 0.3365 - -13.6635. Let x = c + y. What is x rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-66 + 93 + (3 - 4 - -8))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**2 - 65 + 16*z + 65 in the form w*z + p + h*z**2 and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 2*t**2 - 2 + 0*t**2 + 0*t)*(0 + 3*t**3 + 0).\nAnswer: 6*t**5 - 3*t**4 - 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52\/9*f + 2\/9*f**2 + 338\/9.\nAnswer: 2*(f + 13)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 1\/330*m**5 - 1\/1155*m**7 + 0 - 1\/660*m**6 + 3*m**2 + 0*m + 0*m**3 + 1\/132*m**4. Factor j(g).\nAnswer: -2*g*(g - 1)*(g + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 9\/(-6) - (-1383)\/6. What is the greatest common divisor of r and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 5*w**2 - 2*w + 7. Suppose -b + 3*q - 8 = 0, -1 - 7 = -b - q. What is the tens digit of f(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370713?\nAnswer: 3, 7, 127, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 + 12 - 23*-2. What is the highest common factor of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 0*b + 2*b)*(-b - 4*b + 3*b) - 1 + 6729415*b + 3*b**2 - 6731426*b + 2.\nAnswer: 7*b**2 - 2011*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5380092 nanograms in milligrams?\nAnswer: 0.0000005380092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30610 + 20983 - 3126 + 14929 + 5554 + 4329)*(2*b + 4 - 4) to the form c + a*b and give a.\nAnswer: 146558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 2*y**2 + 3*y + 1. Calculate p(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-500))\/((-3)\/10)*-12.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -77, -153, -231, -311, -393, -477, -563?\n\"Answer: -i**2 - 73*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7922859 take away -2553?\nAnswer: -7920306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(130)*-1 - (sqrt(130) + 6*sqrt(130)*2))\/(sqrt(90)\/((sqrt(54)\/sqrt(3))\/sqrt(2))*-3).\nAnswer: 11*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42490208?\nAnswer: 2, 17, 37, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 32401?\nAnswer: -32404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 3*b. Let u be o(3). Let t = 1 + u. Let g(y) be the third derivative of y**4\/24 + y**3\/6 + 3*y**2 + 7*y. Calculate g(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 11. Let u(z) = 3 + z**2 + 0 + 22*z + 3*z**2 + z**3 - 19*z. Give u(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1539134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-3))\/((-15)\/(-360)). Suppose 0 = d*s - 13*s - 15. Let y(r) = -s*r + 4*r + 0*r + 3 - 1. Calculate y(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 9 = -3*r + 4*v, 5*r + v - 15 = 0. Which is bigger: 30\/7 or r?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -90818, -181283, -271748, -362213?\n\"Answer: -90465*n - 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 6:03 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.86 - -0.14. Suppose 0 = -4*b - 0*b - 4, -4*x - 3*b - 595 = 0. Let k = -1921\/13 - x. Sort k, i, -2\/15 in decreasing order.\nAnswer: i, k, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.172546 and 0.07.\nAnswer: -3.102546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 5*w + 40. Let y(n) be the second derivative of -2\/3*n**3 + 1\/5*n**5 - 1\/15*n**w + 0 + n + 0*n**4 + n**2. Let y(s) = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31*t**3 - 8*t**2 + 797.\nAnswer: 93*t**2 - 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 229193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.703 + -3.4. Let l = x - 0.363. Let v = 31\/10 + -13\/5. Is l at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - 1 - (1217 + -1241)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-13 - -5 - -30 - 42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*u**2 - 2*u**2 + 2*u**2 - 2 - 11 + 52*u**2 to j + v*u**2 + w*u and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25243364873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*n**3*w**3 + 95*n**3*w + 2*n**2*w**5 - 13*n*w**2 wrt w.\nAnswer: -66*n**3 + 120*n**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a century?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**2\/5 + 140990536*o\/5 - 1242395702597956\/5 = 0. Calculate o.\nAnswer: 17623817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3\/2 (b) -3 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -385?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + 70 + (37 + 10 - 4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 - 88 = 5*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -21114.83225?\nAnswer: -21114.63225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d**3 + 27*d**2 + 43*d - 21. Calculate z(-3).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*a + 2. Let q = a - -4. Let d(k) = k**2 - 7*k + 6. Let u be d(6). Solve -q = -u*s + s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 59*x + 34. Let o(i) = 173*i + 103. What is 8*n(f) - 3*o(f)?\nAnswer: -47*f - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/6 - ((-85)\/102 + 1). Solve -r + 4*l + 18 = o, -4*r + 10 = r - 4*l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - 102. Let v = 148.0097 + h. Round v to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5946530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2. Let u(c) be the third derivative of 0 + 133*c**2 - 7\/24*c**4 + 5\/2*c**3 + 0*c. What is l(u(b))?\nAnswer: 98*b**2 - 420*b + 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.1 - 0.9. Let s = 16.83 - 17.33. Which is the closest to -3? (a) p (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -171.9808 + 172. What is p rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/21 - 352\/(-476).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-8 - (-5 - 2)) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -59 and -1.7203 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 250 + -260. Let v be ((-24)\/(-42))\/(w\/7). Which is the closest to v? (a) 2 (b) 3\/4 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -1. Suppose 15 = -t + 3*w, -5*t - 39 = 2*w - 5*w. Let x(l) = -l - 1. Let n(p) = t*s(p) + 5*x(p). Calculate n(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 8*q**2 - 1. Suppose -4*y - 3*r = -7*r - 168, 5*y - 3*r - 218 = 0. Suppose 122 = 4*x - y. Suppose 5*n - x = 4*t, 4*n + 4 = 6*n. Give m(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a. Suppose 0 = -5*s + 20 - 5. Let d be ((-288)\/(-6))\/6 - 5. Let c(w) = 6*w - s*w - d*w + 3*w. Give o(c(t)).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, b: 2, q: 5}. Give prob of sequence beq.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -291444 by 97148.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -21385 (b) -1\/17 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -121 - -121. Let q be 3\/6 + 2 + -2. What is the closest to p in q, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1827226?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1936692 less than 1?\nAnswer: -1936691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*z - 8, -2*n + 2*z - 1 - 7 = 0. Suppose n = 5*i - 63 - 17. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-3)*33\/22. Let z be 10\/(-12)*(-16 + c - -6). Solve -s - 20 = 4*j - 0*s, z*j - 2*s = -12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00018558 rounded to 6 dps?\nAnswer: -0.000186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572134149?\nAnswer: 3, 47, 409, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 5. Let u(r) = -3*r - 5 - 13 + 16. Let l be u(-2). Calculate o(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/8 of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*l - 15*l + 474*l**2 - 10*l - 57*l**2 to the form y*l**2 + g + a*l and give y.\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 382*a + 3853. What is the hundreds digit of z(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1122.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -73, -304, -689, -1228?\n\"Answer: -77*k**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18696, 18805, 18914, 19023, 19132, 19241?\n\"Answer: 109*c + 18587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-16))\/((-45)\/120)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-15 + 0)\/((-396)\/48)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - -2*sqrt(102)*-1)\/sqrt(3))\/((sqrt(64) - sqrt(64)*-1)\/sqrt(2)).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.49000092 - 0.49. What is n rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95 divided by -2\nAnswer: -95\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3451321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 8*h**2 - 6*h - 2. Let c be t(7). Solve -2*a + 0 - 4 = -b, 10 = -c*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -147 + 120 - (36 - 5).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 101*g**2 - 1908*g + 610. What is b(76)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1852)\/(-41670) + (-1892)\/45 + -3\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(66\/(-4))*(-242)\/(-132)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -36 (c) 48 (d) 4 (e) -23\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 547087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.5 * 76038.\nAnswer: -570285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 divided by 8?\nAnswer: 85\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -103.\nAnswer: -27\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313*f + 34400000 = 308*f. What is f rounded to the nearest one hundred thousand?\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 25560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = -9 + 65. Suppose -31 = a*s + 33. List the prime factors of (-24)\/s - (-858)\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 80\/2 + (6 - 11). Suppose 0 = y*p - 12603 - 2132. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0732 - -0.0368. Let a = 0.045033 - 0.1550165. Let f = a + i. What is f rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(1 + (6 - 4)). Let d be 1\/(n + 3112\/1036). Let u = -140 + d. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2465711?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 133.3904 litres?\nAnswer: 133390.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(45) - (sqrt(1125) - sqrt(45)))*-4)\/sqrt(9))**2*6.\nAnswer: 4320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 199, 295, 391?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/365, -389, -0.4 in descending order.\nAnswer: -2\/365, -0.4, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**2*v**3 - 401*t**2*v**2 + 61*t*v**3 - 2296*t*v**2 + 134912*v**3 wrt v?\nAnswer: -12*t**2 + 366*t + 809472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 1 - -6)*(-5)\/(-4). Let w(y) = 2*y + 9 - 6*y + 3*y. Let v be w(a). Solve -28 = -4*f - v*n, 12 = -f + 2*n + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-5 + 7 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 45 + 57. Let p(k) be the second derivative of k**3\/3 - 4*k**2 - 15*k. What is p(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1594128 by 48.\nAnswer: 33211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8430 - 8448. What is the closest to -1 in 2, -0.2, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 798600138 to the nearest integer?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20893 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -40371.741.\nAnswer: -16148.6964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3999?\nAnswer: 3, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.016, -1, 3, 617, -3 in decreasing order.\nAnswer: 617, 3, -0.016, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*c + 3*l - 3 = -405*c, -5*l + l - 30 = -7*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146125 and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -16 - 11. Let o be (6\/4)\/(s\/36). Solve 0 = -5*y - 3*f - 17, 0 = o*y + 4*f + 18 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*n**2 + 92*n.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 397485\nAnswer: 8\/79497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**6\/360 + 7*f**5\/120 + f**4\/4 - 11*f**3\/6 + 14*f**2. Let z(s) be the first derivative of q(s). What is z(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + 4.5. Let v be (-60)\/(-36) - (-716)\/(-30). Let j = 22 + v. What is the nearest to -1\/2 in g, 1\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 11:10 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -271 by -8.\nAnswer: 271\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 0*a**2 - 5*a**2)*(-2*a + 18*a + 0*a + (-1 + 2 - 2)*(0*a + 2*a - 4*a) + 2*a - a + a + (0 + 1 - 2)*(-6*a + 3*a + 2*a)).\nAnswer: -84*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0 + 2. Suppose q + 2*w = 45 - 18, 0 = -d*q + 5*w + 27. Let o = q + -15. Sort -5, o, 4 in ascending order.\nAnswer: -5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(264\/234)*(99 + -95)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) 2 (b) -0.04 (c) 65 (d) 4 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2)*l*l**3)**(-50) assuming l is positive.\nAnswer: l**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 26. Suppose -5*f - 6 = -z*u, 2*u + u + 10 = -2*f. Let p be 2*(-1)\/6*15. Put -3, f, p in increasing order.\nAnswer: p, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -10144*j + 81164. Give u(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 t when four letters picked without replacement from ttottgttttttttt.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g + 9. Give m(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7\/811 + -1755\/15409. What is the smallest value in 0, 1\/5, a, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 3*l - 1. Let v(y) = 2*y**2 + 14*y - 3. Calculate -v(u) + 5*x(u).\nAnswer: 3*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -12*u**2 + 6*u + 10. Let l(o) = -17 + 34 - 8 - 8. Let p(d) = -l(d) - m(d). Let b be p(-2). Calculate the greatest common factor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32.4 - 32. Which is the closest to 16? (a) 0.1 (b) 5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12211333 (base 5) to base 7.\nAnswer: 663362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**3 + 5*x**2 - 2*x + 4. Let f(b) = b**3 + b**2 - b + 1. Let v(q) = 4*f(q) - m(q). Let d(l) = -l**2 + l + 4. Let g be d(-2). What is v(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 4*m + 2. Let r be o(4). Let a be -15 + 12 - r\/(-4 - -2). Suppose -2*t + a = 4*v - 68, v + 4 = 0. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q - 28. What is the remainder when y(9) is divided by -11 - (-21)\/63*51?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194880 divided by 48720.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 12*k - 8. Let j be x(11). Suppose 2*p - 25 = -j*p. Solve -b - p = -0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-105))\/(2 + -25). Let h = o - -45089\/7245. Calculate the common denominator of h and (-16)\/(-7)*2\/4.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 315360 - 315361. Let x = 43 + -25. Let m be (x\/4)\/3*-4. Sort t, m, 4.\nAnswer: m, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33912*y**3 - 2*y**2 + 5419*y wrt y.\nAnswer: -203472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110101011010010 (base 2) in base 4?\nAnswer: 32223102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -724.304196 rounded to 1 dp?\nAnswer: -724.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*v - 5*v**3 - 2*v**3 - 2*v**2 - 2*v**2 - 5*v**3 + 4*v**5 + 4*v**4.\nAnswer: 4*v*(v - 1)**2*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 804 is divided by 190.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 2*t**4 - 77\/20*t**5 - 1 + 0*t + 0*t**2 - 1\/3*t**3 + 49\/24*t**6. Suppose k(x) = 0. What is x?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 1)*(-1 + 1 - 2*z**3) + 3729*z**3 - 3259*z**2 + 3259*z**2 to n + p*z**2 + l*z + j*z**3 and give j.\nAnswer: 3731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b1abe (base 16) in base 12?\nAnswer: 717b66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75765)\/10102)\/((-30)\/(-436)).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/13 (b) -5 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -16*t**2 + 12*t. Let j(z) = -3*z. Let g(v) = -4*j(v) - q(v). Let l(y) = -3*y + 5. Determine l(g(k)).\nAnswer: -48*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 2*v + 2. Let j be w(0). Let y(r) be the first derivative of r**j + 2 + r - 1\/3*r**3. Determine y(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225104, -224634, -224164?\nAnswer: -223694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1291 + -1274. What is the remainder when 34 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y - 14. Let p(d) = 10*d + 45. Let u(i) = -2*p(i) - 7*v(i). Calculate u(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-102 + 22 - 342)*(5 - 1 - 2)*(-2 + 0 + 4)*(u + 0*u + 4*u) to a*u + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207038.\nAnswer: 2, 13, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -9. Suppose -16*h + 113942 + 13962 = 0. Let l(n) = 7999 - 2*n + 0*n - h. What is l(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i. Let q(m) = m - 77. Determine q(u(c)).\nAnswer: c - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 - 2*u**2 + u + 4. Let h be b(-5). Let a(w) = w**3 + 6*w**2 + 42*w + 12. Let p be a(-5). Let v = p - 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 the remainder when 39561 is divided by 5603.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -19.6 * 120\nAnswer: -2352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-45)\/(-75)*17\/3. Which is the closest to -5? (a) 2 (b) h (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124822 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729395275 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5668*w**2 - 10421*w - 11096*w**2 + 10421*w to the form x + b*w + j*w**2 and give j.\nAnswer: -16764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 8*n - 2*n - 2*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 7:33 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + 2)*3 - sqrt(1100) - 4*sqrt(66)\/(sqrt(36)\/sqrt(6)))**2.\nAnswer: 192*sqrt(11) + 2852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 2 + 2)*(-16*o**2 + 16 - 16 + (-o + o - 4*o**2)*(2 + 3 - 6)).\nAnswer: -24*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104 - 80*y**3 - 204 + 98 + 322*y**3.\nAnswer: 242*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -317\/3 in 1\/6, -5, -0.5, 0.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*a + 92210 + 21367 = 0. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/2 - 3*z\/2 - 9\/8 = 0.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 5:30 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*d + 14 = -2, -2*m + 3*d = -22. Let c = 2 + m. Suppose -15 = -u + c. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -187025 (base 9) to base 13.\nAnswer: -41141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, c: 6, a: 2, n: 2, r: 3, z: 1}. Give prob of sequence trrz.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 22 = -19. Let d be (-10)\/(-35)*s*14\/(-6). Suppose d*a - 7*a + 25 = 0. What is the remainder when a is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = 25*o + 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 402*l**2 + 24*l + 7. Is n(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 3*i - 4*i)*(6 - 1 - 3)*(i**2 + 2 - 2 - i**2 - 6*i**2 + 3*i**2 + (1 - i**2 - 1)*(-3 - 2 + 7)).\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 525011017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**3 + 6*b**2 + 494*b + 1479. Determine m(-3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/11 - 8*q**4\/11 + 16*q**3\/11 + 20*q**2\/11 - 46*q\/11 + 20\/11 = 0. Calculate q.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -115 or -118?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -2806329 and -2806326 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (29 - 11)*(1172\/6 - 0). Let n = o - 2095. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1\/8)*r)\/(r\/(r\/r**(-1))*r*r))\/(((r\/(r\/r**(-2\/3)))\/r)\/r**(6\/11)))\/((r**(-2\/5)\/r)**(20\/11)\/((r**6\/r)\/((r\/r**8)\/r))) assuming r is positive.\nAnswer: r**(4655\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-5)\/4) + 1692\/2130. Let j = -363\/1420 - f. Which is the second biggest value? (a) 0.4 (b) 0.5 (c) j (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 + 6*u - 56. Let j be x(6). Let d = j - -454. List the prime factors of d.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 992678927 to the nearest integer?\nAnswer: 31507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49563289.\nAnswer: 173, 286493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1665432021 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: Simplify -3*((-1*sqrt(20) + 1 + (sqrt(5)*1)**2 + sqrt(5))*6 + -1*sqrt(125)*-3 + -1).\nAnswer: -105 - 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -70\/23 in 4, 5\/2, -4, -0.5, 2, -2\/37?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0388 + -3.0712. Let i = w - -0.11. Put 5, 0.4, i in ascending order.\nAnswer: i, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 59 - 3. Let x be 17 + -4*21\/h. Is 0.04 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3929 + 3930. Let n(l) = 8*l**3 + 2*l**2 - 3*l + 2. What is n(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**5\/30 - 11*b**2 + b - 13. Let c(f) = -4986*f. Determine d(c(t)).\nAnswer: -49720392*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v + 31. Let k(a) = 4*a**3 - a**2 - 3*a - 2. Let c be k(-1). Let q(n) = n + 16. Let z(t) = c*d(t) + 7*q(t). What is z(9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9068469, -9068467, -9068465?\nAnswer: -9068463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 3*x + 21, -3*t - 3*x - 7 = -4. Suppose -s - 680 = -t*s. Suppose -3*g + s = g. What is g rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8787*u + 35. Is v(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 122220101?\nAnswer: 122220020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1565 - 1547. Solve o - 4*m = -15, -3*m + w = -o + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)\/(m*(m*m**(-2\/9)*m*m)\/m))\/(m**(-2\/9)\/((m*m*m**1*m)\/m))*(m**(2\/15)*m*m**(-2\/15)*m*m*m)\/(m\/(m**(-1\/4)*m))**(-42) assuming m is positive.\nAnswer: m**(179\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 1:35 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(55)\/sqrt(5))**2)*3 - sqrt(22)\/sqrt(2)*2.\nAnswer: -33 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*i - 582 = -3096 - 2007 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 2*n**2 + 12947*n - 10. What is s(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142187, -284379, -426569, -568757, -710943?\nAnswer: -853127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-8\/11))\/i)**(-27\/2) assuming i is positive.\nAnswer: i**(-108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -7. Suppose b = -4*m + 43 - 11. Suppose -3*h + 23 + 40 = 0. What is the remainder when h is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 10, v: 2, n: 4, k: 3}. What is prob of sequence uknv?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**7\/5460 - p**5\/780 - p**3\/3 - 12. Let f(g) be the third derivative of b(g). Factor f(m).\nAnswer: 2*m*(m - 1)*(m + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, a: 6}. Give prob of picking 2 j.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from {m: 1, a: 1, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (585\/78*(-144)\/(-60))\/111.\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1851 to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58378084*7.\nAnswer: 408646588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-105)\/70)\/((-12)\/24). Sort p, -5, 5, 4, 1981 in increasing order.\nAnswer: -5, p, 4, 5, 1981","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.037 and 0.118.\nAnswer: 0.004366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -442371 (base 9) to base 11\nAnswer: -170557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*c + 13*c - 28*c)*(1 - 4 + 1) + 3*c - c - 3*c.\nAnswer: 87*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + 5889625?\nAnswer: 5889641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 269, 593, 1045, 1625, 2333?\nAnswer: 3169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -6.1. Put 2\/7, 0.4, u in ascending order.\nAnswer: u, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.2, -2\/5, 0.12 in descending order.\nAnswer: 0.3, 0.12, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/15 + 2\/5. Let k = 0.118 - -2.882. Let f be -1 - (8\/(-6) + 0). Put m, k, f in descending order.\nAnswer: k, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 12. Suppose -3*i - 9 = -2*g + 6, -o*g + i + 33 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/49 - 104\/147. Put 2\/19, 2\/11, a in descending order.\nAnswer: 2\/11, 2\/19, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319 = -10*j + 519 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/13)*f*(f\/(f**2\/f))\/f)**25*(f**(-1\/2)*((f\/f**(1\/10))\/f)\/f*f)\/(f**(-3\/5)*f**(-1)\/f) assuming f is positive.\nAnswer: f**(76\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16, -2\/5, 0.03, 0.02, -4, -0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(648)*1) + 1*(sqrt(500)*1)**2.\nAnswer: sqrt(5)\/9 + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -12*k. Suppose v + k*v = 0. Let s be (0*(v + 1))\/(-1). Is -2\/41 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 14*l + 128*l**3 + 8 - 66*l**3 - 60*l**3.\nAnswer: 2*(l - 1)**2*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4552554\/19 equal to 239609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/84 + 136\/(-14). Let c = -6 - m. What is the remainder when 86\/18 - 22\/(-99) is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -33372, -33377, -33392, -33423, -33476, -33557, -33672, -33827?\n\"Answer: -j**3 + j**2 - j - 33371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -4316?\nAnswer: 4310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-118 + 0\/1). Suppose 0 = -2*t + 4*g + 382, 0*t + 573 = 3*t - 5*g. Let v = t - a. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 10 + 2, 3*m - 3*n + 3 = 0. Let k be -2*((-27)\/6 + m). Suppose -4 = 2*z - 0, k*z + 8 = -u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1700 or 18714\/11?\nAnswer: 18714\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p. Suppose 6 = -v + 2*v. Let q be v\/(-33) - (-342)\/66. Let r be k(q). Solve -r*l + 13 = -2*n - 0*n, 3*n + 12 = 5*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19712 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.38 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9324 - 8735 = -31*x for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -2*u + 10 - 37, 2*u - 5*n - 23 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000)*-2)\/(-4*sqrt(20)\/sqrt(4))*2.\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7*n = -5*f + 4, -n - 3*f + 8 = 0. Let y(r) = r**3 + r**2 - 16*r - 4. Let a be y(n). Solve -s + a = 3*x + 2*s, 4*x - 4*s = -24 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19\/40 - 1\/40. Which is the closest to -2? (a) 5 (b) 0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 41. Suppose -5*z = 3*q - 23, 0 = z - c*z - 5*q - 27. Solve 0 = -4*o + p + 10, -3*p = -3*o - 2*p + z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 492 + -24\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 62*h**2 - 3*h - 8. What are the prime factors of b(-2)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 344030 (base 5) to base 4\nAnswer: 3001212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*d*j**4 - 19*d*j**3 - 3293*d*j**2 + 3*j**4 + 2*j**3 + 21*j**2 wrt j?\nAnswer: -864*d*j - 114*d + 72*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, 4, -5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 + 327*r - 16091*r**3 + 553*r + 16094*r**3 to the form q*r**3 + d*r**2 + s + p*r + u*r**4 and give p.\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -7\/3*p**6 + 0*p**5 + p**3 - 20 + 0*p**4 + 0*p**2 + 0*p. Find the third derivative of m(d) wrt d.\nAnswer: -840*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -680.87 + 627.1. Let h = c + 54. Let t = h - 0.03. What is the smallest value in -0.4, t, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-171)\/38)\/((-52)\/(-104)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - 0) + (-77 + 33 - -58).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((40\/48)\/1)\/((-20)\/(-36)). Which is the closest to 1? (a) n (b) 0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**3 - g**3 + 196*g - 221*g.\nAnswer: -g**3 - 25*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/18 and 29\/1236?\nAnswer: 3708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6326 is divided by 48?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31423 - -2?\nAnswer: -31421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5006 + -45052\/9. What is the fourth smallest value in r, -6\/17, -2\/7, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**2 + 24*b + 8. Let q be h(-4). Let g(y) = 5*y**2 + 12*y + 106. Is 9 a factor of g(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4e8338 (base 15) in base 16?\nAnswer: -39961a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 0*g = 7*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 187867237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9481 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 -5447769, -5447764, -5447757, -5447748, -5447737, -5447724?\n\"Answer: c**2 + 2*c - 5447772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5706.2 + 5706. Which is the second biggest value? (a) -13\/3 (b) 10 (c) x (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -9*k**2 + 3*k - 3. Let i(g) = -g**2 + g - 1. Calculate 9*i(n) - 3*v(n).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 b when four letters picked without replacement from iiibbcbcbbbbc.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -179.757 - -180. Let o = 0.063 - 0.473. Let k = o + l. What is k rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3 - 1 - 3*l**2 - 7*l + 5*l**2. Let h(m) = 3*m**2 + m - 3. Let r(v) = -8*v**2 - v + 7. Let i(k) = 5*h(k) + 2*r(k). Determine -4*c(b) - 9*i(b).\nAnswer: b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 10:24 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from iiniiiiiiiii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -4, 4, 6, 0.\nAnswer: -23, -4, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 86078.77 micrograms?\nAnswer: 0.08607877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173283045.\nAnswer: 3, 5, 13, 888631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -664, 2, -4, 0, -7, 3 in ascending order.\nAnswer: -664, -7, -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 895359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2675 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3528160 and 1280.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l**3 + 2*l - 2*l.\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a - 7. Let b = -3 + 16. Let h(c) = -9*c - 15. Let m(d) = b*v(d) - 6*h(d). Let j = 5 + 0. Give m(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(29\/2))*j**(10\/3))\/(j\/j**(-1)*j*j*j**33))**(-3\/5) assuming j is positive.\nAnswer: j**(289\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygy when three letters picked without replacement from ybbgbbybgyggbbbgbgg?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(6) - sqrt(18)\/sqrt(3) - sqrt(6)) + -2)**2.\nAnswer: 4*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 3042 = p, 9*p + 4*u = 8*p + 3052. Is 3052 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*z = -379, 0 = 3*l + 140*z - 142*z - 1150. What is the highest common divisor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 4*p = -18, -7*p - 18 = -m - 11*p for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10032\/26334)\/((-2)\/(-91)))\/((-1)\/(-3)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68 or 1\/4?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-6))\/((-1)\/1). Let q be (1*-3 - -2) + 7. Let z = 8 - q. What is the closest to z in m, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -0.08 (c) -2 (d) -3 (e) 98 (f) -71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(((l*l**1*l*l*l*l)\/l)\/l*l*l))**(-2\/5)*(l\/l**(-8\/5))\/l*l**(-2))\/(((l**(-1)\/l*l)\/l*l)**21\/(l**5\/l**(8\/5))) assuming l is positive.\nAnswer: l**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**5\/60 + 7*z**4\/12 + 5*z**3\/3 + z**2. Let a be 14\/(-1)*4\/20*-5. What are the prime factors of b(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10679 + 5134. Is 31 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 8 - (9 - (2 - -9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47579 and 53405.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - 4)\/((-30)\/250)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*z - 44 = 6*g - 212*z, 4*g + z = -44 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*-2 + 39\/4. Which is the nearest to 4? (a) j (b) -3 (c) -3\/5 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 + 2*a + 190. Let g be r(0). Let z(n) = -g - 2*n**2 + 97 + 93. Let t(c) = 149*c. Give z(t(d)).\nAnswer: -44402*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 391 + -62. Let r = 20 + -3. What is the remainder when (-8)\/10 + t\/5 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*x + 29*x - 42 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 + 2*p + 1. Let f be q(2). Let d = 9 + -4. Suppose 0 = 4*r - d*y - 1 + 6, 2*y = 2. What is the closest to r in 4, f, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91200 and 1248?\nAnswer: 1185600","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(8\/1))\/((-6)\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + q - 3*q)*(-1087*q - 825*q - 1 + 1656*q).\nAnswer: -256*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2303 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45*y + 46*y - 14*y)*(-1 + 0 - 1) to the form f + t*y and give t.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2000\/32*2*2\/5\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -175 - -190. Let z be (-18)\/(-4)*10\/w. Solve -s + 16 = z*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 6*i + 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11738*b**2 - 4316 + 1857 + 1949 - 5*b + 0*b wrt b.\nAnswer: 23476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/2 - (-1 + 0). Let z(s) = s**3 + 2105780268 - 2105780261 + 2*s - 3*s**2 - 5*s. Give z(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.5, 6, -0.1, -0.18, -6\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80585156 by 40292578.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l + 10. Determine z(-7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (9432\/(-32))\/(-9)*228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -100*b**4 + 852206*b**3 - 255552*b**2\/5 - 920392*b\/5 + 136352\/5 = 0.\nAnswer: -1\/2, 4\/25, 2\/5, 8522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 11:12 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(4*l - 2*l + 0*l + (-1 + 4 - 1)*(l + 1 - 1))*(-5*l + 1 - 1).\nAnswer: 40*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 1. Suppose 5*j = -w - 24, 0 = -2*j + 2*w - 6 - 6. What is u(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 277*o + 1078*o**2 - 1077*o**2 + 435*o**3 + 134*o**3 wrt o?\nAnswer: 3414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**5\/20 + 2*p**4\/3 + 3*p**3 + 19*p**2\/2 - 81*p. Let w be d(10). Is w > -5\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2\/19, -0.05, -10\/7 in increasing order.\nAnswer: -10\/7, -0.05, 2\/19, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 12. Let c be 136\/6 + 2\/6. Let m = 34 - c. What is the units digit of f(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 2\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27290439, -27290459, -27290481, -27290505, -27290531, -27290559?\nAnswer: -27290589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 0. Let l be -3*((-31)\/(-372) + ((-84)\/16)\/7). What is the nearest to l in m, 3\/7, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -5\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1733796 by -12.\nAnswer: 144483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -266516 divided by -169\nAnswer: 266516\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1167751 (b) 7\/6 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*f - 102, 0*f - f + 4*v = -16. Suppose -18 = 4*h - 30. Suppose y - f = -3*r, 2*y = -h*r - y + 24. Let b(t) = -t**2 + 9*t - 9. What is b(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeexxexee. What is prob of sequence eee?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*p - 5 = 0. Suppose 0 = p*c - 3*c - 4. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/42205102 and -93\/86?\nAnswer: 42205102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -213942.\nAnswer: 1\/106971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 341aa (base 16) to base 13\nAnswer: 761aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4240 by -12.\nAnswer: 1060\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 - 0.35. Let c = p + 0.37999905. Round c to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwwwwwgggg. Give prob of picking 1 w and 1 g.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 270898445?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.651 - -0.183. What is o rounded to two dps?\nAnswer: 1.83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1310, 568, -668, -2398, -4622, -7340, -10552?\nAnswer: -14258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x - 20. Calculate the remainder when 20 + (-2)\/x*-6 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46043?\nAnswer: 41, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1486274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -5*b**4\/24 + 7*b**3\/6 - 108*b**2 + 23*b. Let u(z) be the first derivative of o(z). Calculate u(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 539 = 4194. Let d = t - 2835\/4. Calculate the common denominator of 11\/20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13406007 is divided by 154.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1428, -2915, -4418, -5931, -7448, -8963, -10470, -11963?\n\"Answer: a**3 - 14*a**2 - 1452*a + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**3\/3 - 52*w**2\/3 + 78*w - 60 = 0.\nAnswer: -30, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 122174443 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 4. Let y = -5 - -3. Let g be l(y). Let r = -0.8 + 0.9. Which is the closest to -0.1? (a) g (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -38. Which is smaller: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*x - 790 = 0, -5*x + 229 = i + 59. Let y = i - 197. Let v = -5 - -5. Put -5, v, y in increasing order.\nAnswer: -5, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgtt when four letters picked without replacement from foototooootttogtto.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1033696 divided by -32303\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*w\/(w\/(w**(-5)*w)))\/(w*w*w**(-2\/11)*w**(2\/11)) assuming w is positive.\nAnswer: w**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 81733, 81748, 81763, 81778?\n\"Answer: 15*y + 81718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 3*s - 155 = -149, 2*s + 15 = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/96*3\/(-15). Let t(h) be the second derivative of -1\/40*h**5 + h + 0 + 0*h**3 + g*h**4 + 0*h**2. What is x in t(x) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + -121?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 7:22 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 91070 = 3*y - 33843, 0 = -2*a + y + 28611. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 + -4 + 7 + 0 + -4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*u + 28 = 0, 4*n - 59 - 53 = 3*u. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o + 42477*o**2 + 17*o + 33347*o**2.\nAnswer: 75824*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + c207?\nAnswer: c204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 10:46 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**2 + 5*l + 3. Let w(g) = -1. Let r(z) = j(z) + 3*w(z). Let d(f) = 2*f + 6. Let q(t) = -3*t - 12. Let y(k) = -2*d(k) - q(k). What is y(r(x))?\nAnswer: 5*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/18 - (-688)\/18. Suppose -3*f + f + s = 0. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 4*b**2 - 5*b - 22. What is x(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**4\/12 + 13*d. Let t(z) = -z + 1. Suppose 2*o + 6 = 2. Let g(y) = 8*y - 7. Let i(x) = o*g(x) - 14*t(x). Give m(i(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*u - 371*u = 3*d + 1, 1 = u + 2*d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*u**4 + 28*u - 283?\nAnswer: 12*u**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1)*(7*u**2 + 2*u**2 + 0*u**2).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -237.4\nAnswer: -71.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 10 + 710\/(-64))*330\/99?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -55473 divided by 33\nAnswer: -1681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/(-52) - (-2)\/(496\/114) and 43\/2.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61747 divided by 2.\nAnswer: -61747\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 15 = -5*d, -d + 5 = 2*h. Solve 0 = 4*f - 3*f - h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 957400.6cm to kilometers.\nAnswer: 9.574006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 602 divide 277696304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -6. Let w = 3 - b. Suppose -4*l + 11 + w = 0. Let s(d) = d**2 - 4*d + 3. What is s(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1238\/8 - (-3)\/12 - -2. Let l(q) = -3*q - h + 86 + 68. What is l(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.974583l?\nAnswer: 4974.583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 24.13. Let y = 1.407 + 2.593. What is the second smallest value in y, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4988, -19768, -44352, -78740, -122932, -176928, -240728?\n\"Answer: -4902*j**2 - 74*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -5. Suppose 2*t + 64 = 4*j - 0*t, -j + x*t + 19 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123 and 457683?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -64. Suppose 4*o - 20 = 36. Let m = -4 + o. What is the greatest common factor of m and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 16) in base 9?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -4*j + 5*j - 5*w, 0 = -2*j + 3*w - 347. Is -11*j\/(0 - -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(60))\/((sqrt(5) - -3*2*sqrt(5))*-6)*5)**2.\nAnswer: 1600\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2\/4 + 52554*z - 27783395 = 0.\nAnswer: 530, 209686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*j + 61*j + 27285 = 0. Is -1281\/5 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*k**2 - 50211*k + 16733*k + 16745*k + 16733*k.\nAnswer: -71*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -6. Suppose -5*b - 3*t + 35 = 2*t, -3*t = -n*b + 49. 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: Let q(z) = z**3 + z**2 - z + 1. Let c(a) = 2*a**4 + 4*a**3 + 29*a**2 + a - 1. Let n(t) = c(t) + q(t). What is the third derivative of n(x) wrt x?\nAnswer: 48*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -123*l + 15640. Calculate m(134).\nAnswer: -842","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 1 + 1)*(-5 + 1 + 2) - p - 464 + 464.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.55 - -0.6. Let h = -2.95 - m. Sort -0.3, -2\/5, h.\nAnswer: h, -2\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/3))**26\/((z**1*z)\/z*z*(z**(-4)*z)\/z) assuming z is positive.\nAnswer: z**(136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/3 + 4)*(-9)\/(-12). Suppose -m*w = w - 36. Calculate the least common multiple of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**3\/3 - 7*a**2 - 12*a + 1. Does 6 divide r(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 8:49 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-2))\/(15\/(-11355)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -316*c**2. Let f(u) = -5159*u. Give f(m(n)).\nAnswer: 1630244*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**2 + 5*n + 5. Let s be m(-2). Let k(q) = q**2 + 15*q - 8. Let r(f) = f**2 + 2*f. Let a(w) = k(w) - 2*r(w). Calculate a(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 255.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8270000 rounded to the nearest 100000?\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2075 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, m: 10, t: 2}. Give prob of sequence ptp.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*j**4 + 399*j**3 - 4*j**2 + 120*j + 2180 wrt j.\nAnswer: -96*j**2 + 2394*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15029318 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/22136 and 91\/16.\nAnswer: 44272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**7\/1260 + w**4\/4 + 3*w. Let z(y) be the third derivative of b(y). Let l(k) = 2*k. Determine l(z(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**4\/2 - 9*h**3\/2 - h**2. Let y(d) = 27*d - 1779 - 28*d + 1781. Let k = 90 + -63. What is k*y(z) + 2*g(z)?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 81021690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 804664 * -5\nAnswer: -4023320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 2*o - 13 + 10, -o + 3*r + 14 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 245*s - 250*s - 20, 7*c - 5*s - 16 = -s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6339*z - 15607*z - 7516*z - 5532*z.\nAnswer: -34994*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 27) + 3 - (-32 + -2 + 1)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 5) + 0 + 1 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 2*p - 2*p)*(4 - 2*p**3 - 4) - 2*p**4 - 3*p**3 + 4*p**3 + 2*p**3.\nAnswer: 6*p**4 + 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2681 - 11436 = -515*n for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30500 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(275)*2*3 + -3 + sqrt(275) + -1 - (-1 + -4 + (sqrt(275) - (sqrt(275) - (2 + sqrt(275)))))*-3)**2.\nAnswer: -1000*sqrt(11) + 27600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjhgw. What is prob of picking 1 g, 1 j, and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i. Let s(a) = 4 + 19*a + 17*a - 58*a + 21*a. Calculate s(r(t)).\nAnswer: 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 170.13 + -160.1. Let w = -10 + n. Let z = -1.03 + w. Which is the closest to -0.1? (a) -3\/4 (b) z (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2180b (base 13) to base 16\nAnswer: -ed0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -99966?\nAnswer: 99963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*y + 67 = -85, 3*y - 56 = -g. Calculate the highest common divisor of g and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = -0. Suppose p*m - 353 = m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07164 plus -4?\nAnswer: -3.92836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.2 - -0.8. Let k = l + 8. Let c = k - 14.00035. Round c to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34516.45 rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 249533146?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-8 - -8) + (34 - 70).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 0, -10 in descending order.\nAnswer: 4, 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 7 = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 5*t + t)*(-5*t + t + 3*t) + (3 + 3 - 2)*(2*t**2 - 2*t**2 - 2*t**2).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-26)\/p**(2\/43)*(p\/p**(-9))\/p*p**(8\/9)\/p assuming p is positive.\nAnswer: p**(-6640\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (24523389\/(-66))\/(15\/6 - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34214677 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1286*z**3 - 49 - 474 - 368*z**3 - 4 wrt z?\nAnswer: -4962*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2002.\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**6\/48 + 41*o**5\/20 - 199*o**4\/4 - 482*o**3\/3 + 399*o**2 + 1764*o + 3602. Suppose j(c) = 0. Calculate c.\nAnswer: -2, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 321 - 315. Which is the second smallest value? (a) 4 (b) x (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 9 + 3. Suppose -194 = -4*w + x*c, -2*w + 4*w + c - 92 = 0. Suppose -164 = -l - 3*i, -4*i - 176 = -l - w. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 2 + 7*s - 3 - 4*s + 4*s**2. Is z(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2359 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/110 or -1496?\nAnswer: -1496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1366, 2403, 3452, 4519, 5610, 6731, 7888?\n\"Answer: t**3 + 1030*t + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23.105 + 23. Let u = 15440 + -15440.1. Is u < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 14 = 3*x - u, x - 8 = 3*u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 95 - 66. Calculate the remainder when 114 is divided by g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 296 = -u. What is the remainder when u is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 4:00 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-273)\/(-26))\/((-2)\/8). Let g be 12\/(-21)*(m\/4)\/3. Solve -4*s + 5*t = -1, 0 = -g*s + 5*s - 3*t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b64 + 1bb7c?\nAnswer: 1c902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96 - 4*p**2 + 11*p**2 - 99 to the form x*p**2 + j*p + a and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - j + 19, -19 = -211*f + 210*f - 5*j. Solve 4*g - 4 = 0, -f*g + 11 = -3*y - 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/1032 and 20\/6427401?\nAnswer: 2211025944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**4 - 11324*n**3 - 954204*n**2 + 1942396*n - 976864 = 0.\nAnswer: -2744, -89, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41.44 - 32.44. Which is the closest to -1\/5? (a) f (b) 0.01 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a - 2. Let d be f(-1). Let r be 0\/((-3)\/d*2). Solve 0 = 4*l + z + 12, 0 = -r*l + 3*l - z + 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8846*u**2 - 4176*u + 1?\nAnswer: 17692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 7*y - 2*y. Let l = -435 + 1273. Suppose 35*c = 4*i + 38*c - l, 5*c = 10. What is the highest common divisor of y and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59301 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 45*v**2 - 97*v + 83. Determine m(47).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220, -443, -666, -889, -1112?\nAnswer: -1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3776, 7240, 10590, 13826, 16948?\nAnswer: 19956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131 - 127 + 4673*w - 114 + 372.\nAnswer: 4673*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2 + 3222*v + 1 - 3220*v in the form z*v + n and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - -37 - (11 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/3 - (-10)\/(-30). Let t(o) = o + 1. Let w be t(2). Let v be (-3)\/(-2)*3\/6. Which is the smallest value? (a) v (b) p (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 46 (b) 3.509 (c) 2.7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -5\/2, 473\/2, -1\/5, -1\/4, 2.7, 2\/9?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3877 + 2715. Let f = -1162.2564 - d. Round f to 2 decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101102*y**3 - 4618*y**2 + 10*y wrt y?\nAnswer: -606612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 388683*h**3 - 3*h**2 - 16354*h?\nAnswer: 2332098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 6) to base 13\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -5*r**3\/6 + 43*r**2\/2 - 19*r. Let s = -149 - -157. Let c be g(s). Solve 2*t = 5*q + c, 4*q - 23 = -5*t + 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4488323 is divided by 174.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7003714 and 2603?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-315)*-7)\/((-2)\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4214 divide 190818348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-184 + 39 + 653)*(3*w - 3*w - 2*w).\nAnswer: -1016*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*2\/(-4)*-2. Let m(u) = -5*u - 2. Let f be m(-2). Suppose a - f = 3*q, q = -2*a + 4 + 5. Is x not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in years?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -121145332?\nAnswer: -121145341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11129 + 11131. Sort -2, g, 386, -1, 3.\nAnswer: -2, -1, g, 3, 386","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 194, 195, 196, 197, 198, 199?\n\"Answer: x + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102533444548823 + -3.\nAnswer: 102533444548820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 658455522?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 3*z - 2*z)*(0*z + 0*z - z + (0 + 0 - 1)*(1 - 2*z - 1))*(233 + 1269 + 217).\nAnswer: 6876*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-142)\/(-4) + -33)*(-4)\/4.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 - -7. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 55, 54, 53?\n\"Answer: -h + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u = 3*d - 146370, -3*u - 243954 = -5*d. What is the thousands digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35.021 - 0.021. Let l = p - 34. Suppose 0 = -a - 0*a. What is the second biggest value in -4\/5, l, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 + 3. Let g(c) = -c**3 - 2. Calculate 5*g(f) + 3*u(f).\nAnswer: f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1944 greater than -3887\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.049 + -3.951. Let b = -5 - 0. What is the second biggest value in 1\/2, c, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -1270, 13, 4, 1, 3 in increasing order.\nAnswer: -1270, -5, 1, 3, 4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (140\/175)\/((-4)\/(-350))*(-4)\/8\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 2 = -6*c, -3*w - 2*c = 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96607?\nAnswer: 7, 37, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12352 - -320441?\nAnswer: 304045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 84. Let w = -51 + u. Let p be (25\/10)\/((-10)\/w). Solve 5*i + 7 = -3, -p*l = 3*i + 26 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 106 + -106.563. Let j = f + 0.54. Round j to three decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 21 = 84. Is ((-3)\/j)\/(5\/(-16305)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36.7 - 6.3. Let m = 42.78 + h. Let c = m + -3.78. What is the biggest value in 2\/13, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77504587 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 161, 140, 105, 56, -7, -84, -175?\n\"Answer: -7*x**2 + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from ksdfiksiiikcssfsfs?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/9 + 484240*t**2\/9 - 58700945813*t\/9 + 19085079890774\/9.\nAnswer: -(t - 241957)**2*(t - 326)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 d when three letters picked without replacement from llqdggxddzdggdg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x + 25*x + a = 4, 4*a + 14 = 6*x + 30 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5 - 3, 3*m - 3*o = -18. Find the common denominator of 18*m\/(-40) + 5 and 50\/49.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 - -56.2. Let j be 63\/28*(-2)\/(-3). Put -0.1, f, j, 0.2 in decreasing order.\nAnswer: j, f, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 25451.\nAnswer: -3\/25451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14\/29 + -10\/261. Suppose -c*l**2 + 0 + 0*l - 2\/9*l**3 = 0. What is l?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 0*n + 0*n)*(-n - 2*n + 0*n)*(5*n**3 + 0*n**3 - 3*n**3) + 2*n**5 + 19 - 19.\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -25*x**5 - 65*x**4\/2 + 297*x**3\/2 + 53*x**2 - 34*x - 12 = 0.\nAnswer: -3, -2\/5, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-4)\/(-48))\/(8\/168)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**2\/2 + s - 2757. Suppose -z - 4*z - 5 = 0. Suppose -21 - 91 = -7*h. Let d(y) = 12*y + 16. What is h*r(v) + z*d(v)?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10001607.\nAnswer: 3, 7, 11, 29, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + -0.2. Let q = h - 0. What is the closest to 0.4 in 0, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -41*v**7\/7 - 31*v**4\/12 - v**3\/3 + v - 169. What is the third derivative of a(b) wrt b?\nAnswer: -14760*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 to the power of 1\/3, to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5505017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 15765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 2:49 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1149 or 1150?\nAnswer: 1150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-five quarters of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -38*y - 26. Let g be r(-6). Let z = 3639 - g. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 17764.0776ns?\nAnswer: 0.00000000020560275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, 1, -215, -6, -4 in ascending order.\nAnswer: -215, -7, -6, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22270 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 71, 149, 243, 323, 359, 321?\n\"Answer: -5*b**3 + 38*b**2 - b + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.37 and 14446482732.\nAnswer: 14446482732.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 55270.4 years?\nAnswer: 55.2704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(1\/9))\/(r*r*r**(-15)\/r*r)*((r*r\/r**(2\/53)*r)\/r)\/r**(1\/9) assuming r is positive.\nAnswer: r**(7508\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1100825 - -1100830. Suppose n - 3*t = 15, 0 = 6*n - n + 4*t + 20. Suppose -v + n*v + 1 = 0. Solve -4*h = -x - 2, -3*x - 5*h - k = v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + 2 + -16 + 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17715849001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -1\/20, -0.3, -3\/4 in ascending order.\nAnswer: -4, -2, -3\/4, -0.3, -1\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5)*d*d*d)\/d**(2\/19)*d*d**(2\/7)*d*d\/d**7)**(-23\/2) assuming d is positive.\nAnswer: d**(8901\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 13 = 2, z = -2*c + 12. Suppose -493 = -4*d + z*w + 31, -20 = 5*w. Calculate the remainder when d is divided by 35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from {e: 9, k: 7}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 0. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 299965\/23844 + 6\/1987. Let w = -8881\/2 + 135017847\/30406. Let u = 744983\/273654 - w. Calculate the common denominator of u and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -3.3591?\nAnswer: -1.6409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4196, 16775, 37740, 67091?\nAnswer: 104828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99.47 or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/40)*x**(2\/27)\/x)**(-1\/10))**(1\/12) assuming x is positive.\nAnswer: x**(973\/129600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-87)\/(-27) - 3)*102\/(-85)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 153*i**3 - 153*i**3 + 1 - i + i**4 to the form l*i**3 + h*i**4 + o + b*i**2 + u*i and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -5. Calculate the highest common factor of 16 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2347 + 2347. Let f = 0.4 - -0.1. Let m = 617\/372 + 1\/124. Which is the closest to -1\/2? (a) m (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u = 15. Let i be 3*(-2 - 10\/(-3)). Let v be (-2)\/u*(-30)\/i. Solve a - 2*y = -v, -5*a + 2*y - 14 = -5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*v + 15. Suppose v*g - x = -55, -g - x - 25 = 2*g. What is the units digit of (-952)\/g + (-8)\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144799937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000110110111000000 (base 2) in base 3?\nAnswer: -112202010122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 take away 0.1?\nAnswer: 68.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -29, -20, -5, 16, 43, 76, 115?\n\"Answer: 3*a**2 - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3093, -11198, -24263, -42294, -65297?\nAnswer: -93278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2005*h. Let f(u) = u - 2. Calculate s(f(j)).\nAnswer: 2005*j - 4010","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.17324, -4, 0.044?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 27, 3 in descending order.\nAnswer: 27, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-20)\/(-6)*6. Let z = m - -28. Calculate the remainder when 22 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(176) + sqrt(176))**2 - (sqrt(704))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -232 - -112402?\nAnswer: 112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 6:48 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/7 (b) 4\/45653 (c) 0.086 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4183 - r + 0*r + 0*r - 3303 + 7486.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**4)**36*(a*a**(2\/3))**28 assuming a is positive.\nAnswer: a**(-184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 4753\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 12 = -2*r, 3*r + 0*x = 5*x - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 798, 1613, 2468, 3357, 4274, 5213, 6168?\n\"Answer: -z**3 + 26*z**2 + 744*z + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**2 - 4*a**2 - 15*a**2)*(-4*a + 4*a - 2*a) - 3*a**3 + 3*a**2 - 3*a**2 + (-3*a - a - 3*a)*(2*a**2 - 15 + 15).\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1131 + 3541. Does 22 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-132*o + 22 - 22)*(-o + o + 2*o**3)*(-4*o + 3*o - 3*o).\nAnswer: 1056*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t**4\/3 + 48361*t**3\/6 + 155237*t**2\/6 + 5302*t = 0 for t.\nAnswer: -964, -3, -11\/50, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 574 less than -131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgg when three letters picked without replacement from {g: 5, p: 13}.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.95 + 3. Let h = 1.95 + l. Let f = 26466 - 26463. What is the fourth smallest value in -0.5, 4, h, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - -127\/3. Which is the second smallest value? (a) g (b) 1 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 409.\nAnswer: -4\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*g**2 - 4*g - 1 + 7\/4*g**3.\nAnswer: (g - 2)*(g + 1)*(7*g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 917639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1571?\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 35\/7)\/((-10)\/(-1))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, -249, 1, -138?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7*(-3)\/14*8\/6. Put k, 1, 44 in decreasing order.\nAnswer: 44, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*k + k. Suppose -n + 25 = 5*x, 6*x - 4*x + 5*n = 33. Calculate the remainder when x*(-1 + (-75)\/(-6)) is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6477046637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 120359 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1353 - 0.1914. Round h to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*k - 47 = 0, 0 = 4*i - 5*k + k + 124. List the prime factors of (-11416)\/i + 6\/21.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.8 in 4, 4\/3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02999 + 0.0299907082. Round b to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 10*n + 15 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -36, -66, -104?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 37*i**2 - 76*i + 110. Let b be d(-39). Solve -11*w + 76 = b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j + 48. What is r(11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 402*h - 3 - 291*h - 53*h**2 + 3 wrt h?\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 716374 (base 12) to base 4.\nAnswer: 12300332020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(4 + 3*w - 4)*(2 + w + 2 - 6) - 17*w + 2*w**2 + 17*w)*(-w + 5*w - w).\nAnswer: -3*w**3 + 18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*sqrt(468)*-5 + 0 + -1)**2.\nAnswer: 900*sqrt(13) + 292509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7*c - 4. Let v be s(11). Let k = v + -46. Let q = -13 + 23. Calculate the remainder when k is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.05702 minus -48641?\nAnswer: 48694.05702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 5*k = 47, -5*u - 1044227*k - 80 = -1044229*k for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 4*a - 186 = -27*k, 2*a - 3*a - 36 = -63*k + 58*k for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 81405 times -2281\nAnswer: -185684805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - 7*g + 12. Let r be c(4). What is the tens digit of (28\/r)\/(-7) - 1911\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**2\/7 - 195852*a\/7 + 19801454\/7 = 0?\nAnswer: -98027, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90147222 and 1692?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*c + 7, 0 = -2*s - c + 5. Let z be (-2)\/(2*s)*(-22 - -22). What is the fourth biggest value in 0.01, z, 0.3, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 times 5480?\nAnswer: -657.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -2.7. Suppose -r = 4 - 0. Let h be 9\/6*r\/36. What is the biggest value in 1\/2, h, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81350 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12 + 1)\/(2\/6). Let l = a + 66. Calculate the greatest common divisor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l + 6. Let r be ((-23)\/(-46))\/((-2)\/(-20)). Let d(c) = -c + 1. Give r*d(t) - h(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n**2 - n. Let w(b) = 15*b**2 - 3*b - 14. Let p(h) = -4*o(h) - w(h). Let k be p(-4). Solve v + 5 - 3 = 4*t, k*t - v = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/455420 and 103\/136626.\nAnswer: 1366260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54.105391847 - 162771.294607993. Let y = g + 162826.4. Let j = -1 + y. What is j rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14238 at least 14313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -51086.979.\nAnswer: 51087.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004244 to 5 dps.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4)\/(6\/(-36)). Suppose x - 12 = 5*p + 10, p - 2 = -k*x. Suppose -1 = x*q - 11. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2853532 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 10:03 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 + 85 - 0\/(-1). Suppose 4*l = -v - v - f, l = -2*v - 22. Let y = 49 + l. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -3, 4, 80?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25158, -50300, -75440, -100578?\n\"Answer: v**2 - 25145*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j + 42. Let z be i(14). What is the highest common factor of 6 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2928.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/4040 and 14\/4545.\nAnswer: 36360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -969840 * 1.\nAnswer: -969840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*o**2 - 24*o**2 - 24*o**2 + 7*o**3 - 3 + 3 - 3*o**3 + (-o**2 + o**2 + 2*o**2)*(o - 2*o + 0*o))*(0*o**2 - o**2 - o + 0*o).\nAnswer: -2*o**5 + 4*o**4 + 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h - 1880394 + 309699 = 479185. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1166, -1166, -1156, -1130, -1082, -1006, -896, -746?\n\"Answer: j**3 - j**2 - 4*j - 1162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1430120 - -4?\nAnswer: -1430114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 0)*-4*1. Let d be (-5 - -37)*(-18)\/(-84)*7. Suppose -4*y = -0*a - 4*a - 100, d = 2*y - o*a. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 12*z + 10. Suppose -10*d - 5 = -9*d. Let g be t(d). Suppose g = -6*k + 24. Solve -2*j - 3*q = -k*j - 5, -q = -3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693551?\nAnswer: 167, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148, -152, -174, -220, -296, -408, -562, -764?\nAnswer: -1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1773 + 2048. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-320)\/45)\/(-16)*(-81)\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 12, 5, -4\/7, 0.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23.4 + 23. Suppose 5*f + 15 + 5 = 0, -4*o + 2*f = 0. What is the closest to o in a, 2, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n**4 - n**4 - 5*n**4 + (0*n**2 + 5*n**2 - 3*n**2)*(-3*n**2 + n**2 + n**2) + 2*n - 2*n + n**4.\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 0 - (-3834)\/(-710). What is the second smallest value in i, 5\/4, 2\/7, -7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 690 + 533. Let q(h) = -1 - 1 + 1219*h + 2 - j*h. Determine q(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 - (15 + 14 + -8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d - 3. Let q be f(-2). Let k(z) = 14*z**3 + 6*z**2. Let v(h) = -14*h**3 - 7*h**2. Let g(w) = q*k(w) + 2*v(w). Factor g(n).\nAnswer: 2*n**2*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - i - 76 = 0, 5*t - 6*i + 3*i = 95. What is the remainder when 719 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.56 and 1.1.\nAnswer: -1.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-11 - -4 - (-32 + 3)) + -11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 128178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 861909.5g to kilograms.\nAnswer: 861.9095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o + z + 13 = 0, -5*o = z - 77. Let y be (9\/9)\/(1\/o). Suppose 5*i - 40 = 5*m, 4*m = -m + y. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w + 45. Let j(b) = b - 11. Let h(p) = -9*j(p) - 2*z(p). Let o be (-3 - -7 - 0) + 3. What is h(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 3*g + 12. Give p(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4631*f - 49072 = 21893 + 10552 - 7421 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 3:46 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/18)\/(((y*y**(-11))\/y)\/y*y*y))**(1\/7)*y\/((y*y**(-5))\/y)*y**(1\/2)*y**3\/((y\/(y\/(y**(3\/2)*y)))\/y) assuming y is positive.\nAnswer: y**(1187\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1944*b**2*l**3 + 3*b*l**2 - b + l**3 - 108*l**2 wrt b?\nAnswer: 3888*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*((-28)\/(-8) - 4). Let s be l\/(-3) + 4*33\/(-18). Let p be 1219996 + 11 + s - 0\/2. What is p rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -173.4 - -173.392795. Let v = 0.0066 + n. What is v rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 425012672 divided by 98.\nAnswer: 4336864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -2\/11 (b) -1\/9 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8326.594 litres?\nAnswer: 8326594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -25*h + 146. Let q be j(5). Let n(d) = -d**2 + 19*d + 27. What is n(q)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r - 3*r - 8*r - 8*r to a + o*r and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 26*y + 21*y - 10, -f - 5 = 4*y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1590*m**5 - 96*m + 4 wrt m?\nAnswer: -31800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 4. Suppose 0 = 4*w - f - 0*f, -16 = -4*f. Let y = -5 + w. Give g(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/20*6\/9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117973.\nAnswer: 117973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.3, 18, 22778 in increasing order.\nAnswer: -0.1, 0.3, 18, 22778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 233562106 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.52 - 7.52. Which is the closest to 0? (a) 4 (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32467 (base 8) to base 14\nAnswer: 4d71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i = 31*i - 12*i + 3*x - 29, 0 = -3*i - 32*x + 37*x + 73 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -3*n**5\/20 - n**4\/3 - n**3\/2 + 5*n**2\/2 + n. Let u be (4\/3)\/(3\/(-9)). Is z(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-28)*m*m*m*m)\/(m*m\/((m*(m\/(m\/((m\/(m**(-1\/4)*m))\/m)))\/m)\/m)*m))**(-36))**34)**(11\/2) assuming m is positive.\nAnswer: m**193545","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/43, 2, 4\/13, 0.5, 4534?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 5*m + 25. Let z be c(-8). Solve z + 4 = -5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9328 and 388?\nAnswer: 904816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/6))\/z)\/z*z**(-3) assuming z is positive.\nAnswer: z**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23698 and 42194?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(4 + -3) + 5\/(-2)*-2. Solve 20*u + h*m - 29 = 24*u, -20 = -5*u - 5*m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 91 = 4*i, 5*z + 190 - 21 = 6*i. What is the smallest common multiple of 144 and i?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -283758, 0, -2.\nAnswer: -283758, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4137 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*f*m**3*o**3 + 10*f*o**2 + 78*m**3*o + 2*m*o**3 wrt f?\nAnswer: -16*m**3*o**3 + 10*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 12\/5 + 6\/5*a**4 - 34\/5*a**2 + 2*a**3 - 26\/5*a = 0.\nAnswer: -3, -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -321281934.6\nAnswer: -321281929.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 + 3044*i - 6707*i + 3663*i.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 345 and 3480.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(40)*-2)\/(1*sqrt(288)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 46\/(-115) + (-42)\/(-10)*17?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -90? (a) -2\/7 (b) -2\/5 (c) -39 (d) 3 (e) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15181 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/(-35))\/((-2)\/150). Let p = 41 - d. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50195, 49050, 47905, 46760, 45615?\nAnswer: 44470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k. Let n be h(2). Let c be ((2 - 0) + -2)\/(-2). Solve -v - 1 + n = c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + sqrt(832) + -1 + -4).\nAnswer: 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -137387846.9996 + 137424180. Let p = 36325 - c. Let d = p + 8. What is d rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**3 - 5*l**3 - 32*l + 0*l**3 + l**3 + 32*l + 0*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64132?\nAnswer: 2, 16033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20 + -2)*(-1)\/(-2). Let v be (-2)\/(-4)*(-33 + -1). Let p = z - v. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 15*k**2 + 1999*k + 11. Let j(w) = 2*w. What is j(g(s))?\nAnswer: 30*s**2 + 3998*s + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -5*i**3\/3 + 40*i**2 - 300*i - 7383. Solve a(g) = 0 for g.\nAnswer: 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 767821252?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 + -72. Let q be 21\/2 + 6\/4. Let p = t - q. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/4336 and 47\/512.\nAnswer: 138752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9990.233ng in kilograms?\nAnswer: 0.000000009990233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (17 - 45 - -27)\/(1\/3). Put 8, 1096, n in descending order.\nAnswer: 1096, 8, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snn when three letters picked without replacement from subnunnn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1362641?\nAnswer: 7, 27809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, z: 8, s: 3, b: 3}. Give prob of sequence zbjz.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 9:30 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49102297?\nAnswer: 41, 1197617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0\/3 + (-140)\/88 and -27\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19304248 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a hour in minutes?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 5 (b) -1 (c) 2 (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**3 + 496*g**2 - g + 40265 with respect to g.\nAnswer: 6*g**2 + 992*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61792 and 9536?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w + 59*w - 18*w - 15*w - 17*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 6*x + 5*x**2 + 0 + 0*x**3 + 29\/8*x**4 - 2\/5*x**5. What is the second derivative of u(y) wrt y?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 6. Let l be k(-14). Let r be -1 + (2 - 1\/1). Let a(v) = v**2 - v - 2. Let q be a(2). Solve r = f - 5*s - l, 2*s - 4 = -2*f - q*s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12806391 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/3)*b\/(b*b*b**(2\/11))*b\/((((b**4\/b)\/b*b)\/b)\/b)*b*b**(-6)\/b assuming b is positive.\nAnswer: b**(-215\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 61162070.5736351 minus 2?\nAnswer: 61162068.5736351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/9))**(10\/7)\/((v\/(v\/(v*v**(3\/13)*v))*v)\/v**2))**(3\/29) assuming v is positive.\nAnswer: v**(-748\/7917)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**8\/8400 + w**6\/1800 - 4*w**3\/3 + 2. Let g(y) be the third derivative of t(y). Solve g(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -10*g - 31. Let m be o(0). Let t = -29 - m. Find the third derivative of -31*l**2 - 21*l**4 + 30*l**4 - 15*l**t + 27*l**4 wrt l.\nAnswer: 864*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**5 + 5*r**5 + r**5)*(-5 - 1 - 5).\nAnswer: -11*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - 20*(-8)\/16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 277\/36 + -1867\/252. What is the nearest to 1.1 in -0.3, h, -1\/2, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -230, 34, -5, 1.\nAnswer: -230, -7, -5, -4, 1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5175792 and 19840536?\nAnswer: 119043216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 2*d + 3*r - 45, -2*d + 98 = -4*r. Calculate the remainder when 620\/d + (4\/(-18))\/(-1) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**3 + 79*c**2 - 975*c + 528. Find the first derivative of a(b) wrt b.\nAnswer: -6*b + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 + 21*h - 9*h - 11*h.\nAnswer: -4*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3886 and 1206.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28 and 13\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*u = -5400. What is u rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2378464 is divided by 2625?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 150 - 165.56. Let p = x + 18.5. Let d = p + 0.06. Sort 2\/7, 5, d.\nAnswer: 2\/7, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 - 427\/6. What is the nearest to -0.2 in 1\/5, 2\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c\/((c*c**40)\/c)))\/c)\/(c\/(c*c**(2\/19)))*c**(-30)*c*c*c**(-4\/5))**28 assuming c is positive.\nAnswer: c**(30072\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118051260 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z - 4 + 4 - 37*z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*48\/(-432))\/(3\/(-1))*9\/(-9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 8*p - 4. Calculate c(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5668 is divided by 563.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 537 = 4*f + 554, 5*d - 2*f + 5 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 221 + -149. What is the highest common divisor of 24 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/328 and -105\/268739584?\nAnswer: 268739584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 24768 = -6*k. Suppose i = -5*n + 1935, 0*n = -4*n + 3*i + k. Let t = n + -223. Is 41 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z + 70 = -24*z. Let h be ((-8)\/5)\/((-14)\/z). Let n = h - -4. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*291.\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 b, and 1 o when three letters picked without replacement from kbkbooookinbo.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5433 is divided by 1293?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 162*x**5 + 3*x**2 - 8*x wrt x?\nAnswer: 9720*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from wbbtwwbbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 0) + 0 - -9. Let o be (-2)\/(-4) - (-3)\/x. Let c be 2\/(-2) + (-5 - -7). What is the nearest to 2 in o, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-36))\/((-614)\/10131*1\/6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 26*q**3 - 39. Let k(b) = b**3 - 1. What is c(v) - 39*k(v)?\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 2*i - 1. Let h be u(-1). Is 5\/h*18\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + 0 + sqrt(99)*-1)*-1 + 3 + -2 + (sqrt(44)\/sqrt(2))\/sqrt(2) + 5)**2.\nAnswer: 12*sqrt(11) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(972) - (0 + sqrt(675)))**2.\nAnswer: -18*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*r + g + 20, -5*r + 20 = 4*g. Suppose r*j - 9*j = -10. Suppose -j*o + 180 = -0*o. Calculate the greatest common divisor of 18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**4\/8 - 14*w**3\/3 - 5*w**2 - 15. Let b(s) be the second derivative of c(s). What is the first derivative of b(f) wrt f?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52330543 + -20?\nAnswer: 52330523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (36\/30)\/(2\/(120\/9)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1952 - 962. What is the greatest common divisor of v and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451 - 1373 = -87*g + 676 + 751 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Does 545 divide 1072732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-7) - 4\/(-14). Suppose -q + 6 = -5*i. Which is the smallest value? (a) i (b) 1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12417927407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v**3 - 7*v + 6. Let o(r) = -9*r**3 + 10*r - 9. Give 5*o(w) + 7*q(w).\nAnswer: -3*w**3 + w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187181129?\nAnswer: 1019, 183691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2882 by -49.\nAnswer: -2882\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 54 = 5*c - 38, -3*c = -l + 6. Suppose 3*h - 114 = -4*m + l, -m - 3*h = -33. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 572c - -5c?\nAnswer: 578b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -143868?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/52*(2\/(-9) + 456\/108)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 - (-1 - -9) - (-3)\/(9\/1068). Is w smaller than 1784\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 705 divided by 6.\nAnswer: 235\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132892681 to the power of 1\/2, to the nearest integer?\nAnswer: 33658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 334070809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 3*f**2 - 6*f - 4. Let d(k) = k**3 - 3*k**2 + 5*k + 3. Let s(o) = -7*d(o) - 6*h(o). What is s(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-11))\/(2*(-2)\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndn when three letters picked without replacement from {n: 3, q: 1, d: 13}?\nAnswer: 13\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3 + 29*c**2 + 174*c?\nAnswer: -12*c + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 22*b - 96 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2956 + -2954. Which is the third smallest value? (a) -15 (b) 2\/9 (c) 5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5520, -1479, -8478, -15477, -22476, -29475?\nAnswer: -36474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4779 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**2*t**4 + 3*s**2 + 2766*s*t - 5671*t**5 wrt t?\nAnswer: 12*s**2*t**2 - 113420*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8\/9, 26, -0.112, 3\/5, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 12*r - 17. Let b(w) = -3*w - 19. Let k be b(-9). Is t(k) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1164 = 2*b + 238*b + 148*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 4:39 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 52 + -42 + (-42 - -7).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3877387.\nAnswer: 19, 29, 31, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((6*(sqrt(10) - sqrt(90)))\/sqrt(2)*2 - ((1*sqrt(60) - sqrt(60))*4)\/(sqrt(72)\/(sqrt(6) + 1*sqrt(6)))).\nAnswer: -96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 5*s**2 + 2*s - 11. Let n be p(5). Let q be 3\/(-2)*2\/(-1). Suppose 0*x - q*x + 9 = 0. Put n, -3, x in increasing order.\nAnswer: -3, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3982 a factor of 1233137796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 682414 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: Calculate the common denominator of -11\/6 and ((-196)\/(-112))\/(23\/(-30)).\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24658 by 2.\nAnswer: -12329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.03 + -12.97. Which is the second biggest value? (a) -0.003 (b) s (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55904.\nAnswer: 2, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1570.8 - 1571. What is the biggest value in -2, y, 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 9. Suppose 4*m = -4*v + 24, m = -v + b*v - 2. Suppose 5*i = -v*u - 2*u + 68, -4*u + 72 = 4*i. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -52 (b) 0.1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 2 (c) 5 (d) -1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {n: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134.1 - 169.75. Let b = -0.65 - a. Let h = b - 10.8. Round h to zero dps.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 784*f + 202*f**2 - 63*f**2 - 784*f.\nAnswer: 139*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/177 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 416*h**3 - 497*h**3 - 14*h**2 + 41*h**2 wrt h?\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4)*(-34)\/(-51)*(-14 + 8). Suppose -2*m - 1 = -7. Put j, 5, m in decreasing order.\nAnswer: 5, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -191 - -211. Suppose a*q = 2*q + 12924. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 - -10010001?\nAnswer: 10011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 81276, 1\/9, 2, -2\/3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 308614 divided by 8.\nAnswer: 154307\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4663*b + 6829*b - 7369*b + 12974*b.\nAnswer: 17097*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((((t*t\/(t\/(t*t\/(((t**(-3\/8)\/t)\/t)\/t)*t)))\/t)\/t*t)\/t))\/(t**(1\/14)\/t)*(t\/t**10)**(2\/35))**(-7\/3) assuming t is positive.\nAnswer: t**(1109\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 6\/3)\/2. Let s be 2\/u - (-2 + -1). Let p = 0.293 - 0.393. Which is the third biggest value? (a) s (b) p (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b = g - 8, 0 = 2*g - 4*b + 16. Let d be 75\/385 - (-4)\/(-14). Is g not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 647*c + 63219. What is k(120)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/12533 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ene when three letters picked without replacement from {e: 3, n: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 802*-26.\nAnswer: -20852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3344213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.79605nm to kilometers.\nAnswer: 0.00000000004479605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (163\/1304)\/((5\/(-25))\/((-4)\/(-15)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -6*i**2 - 3*i - 4. List the prime factors of x(-2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 9:46 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -4*n + 10*s - 314, -3*s + 361 - 263 = 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsjvjsssjssjfsijv. What is prob of picking 1 v and 1 i?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*y + 31, 3*q - 3*y + 41 = 8*q. Is 11 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -7957, 0.205.\nAnswer: -7957, 0.1, 0.205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 83*z**2 - 82*z + 321. Calculate the least common multiple of w(82) and 1.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 7bb?\nAnswer: 7bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j**4*q + 148197*j**3*q + 83614*q wrt j?\nAnswer: 4*j**3*q + 444591*j**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 19*x**3 + 1. Suppose 0 = -9*n + 4 - 13. Calculate z(n).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*j**2 + 11*j - 43*j**2 - 10*j to the form z*j + o*j**2 + c and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16724552?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 12 = 4*j. Solve -4*o = j*o + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -601?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -681, -685, -689, -693, -697?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, 5, 1, -3, 4 in descending order.\nAnswer: 5, 4, 1, -3, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 4 = -7*r + 6*r, -4 = 6*n + 2*r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.14 + -0.14. Let x = 0.1 + -0.2. What is the closest to x in -1, s, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 + 81*m**3 - 75*m**2 - 81*m + 78.\nAnswer: -3*(m - 26)*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -7. Let i(c) = c + c - 3 + 5. Let w be i(-2). Which is greater: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209713.59 months in centuries?\nAnswer: 174.761325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 3*k**2 - 4*k + 3. Let v(p) be the second derivative of -p**3\/6 + p**2 - p. Let n be v(5). Let w be (n\/9)\/((-2)\/24). Give i(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*v = 2*v. Suppose 12 = 4*x + 5*a - 3*a, v = 5*x + a - 12. Solve g = x - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (1 - 4)) + -12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**3 - 2*o**3 - 11*o**3 + 2*o**3.\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 194.\nAnswer: 4074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 4 + 216\/(-52) - 420\/(-26).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i + 4*i - 14 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -2 + (77 - 105)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4009 + 64241\/16. Find the common denominator of -33\/16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-29)\/3)\/(5 - (-217)\/(-42)). What is the second derivative of 110*r**2 - 64*r - v*r - 219*r**2 - 44*r - 116*r**2 wrt r?\nAnswer: -450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*w = -138*w + 298*w - 2024 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-15\/2)*s**(-16\/3))**(-19\/3))**11)**(10\/3) assuming s is positive.\nAnswer: s**(80465\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*d, 3*d + k = 5*k + 25. Let u = 172 + -306. Let f = u + 160. Solve 5*h = d*o - f, -h - 3*o - 6 = 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/5 (c) 2 (d) 0 (e) 0.046\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(684)) - (sqrt(171) + -6*(sqrt(171) + (sqrt(171) - 2*sqrt(171) - sqrt(171) - sqrt(171))))\/sqrt(9).\nAnswer: 8 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*j + 48. Calculate the greatest common divisor of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in 18, -16, -1\/3, 1\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96 + -71 + (-53 - -65).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -995 - 1000 = 285*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(50) - sqrt(350)\/(sqrt(14)\/sqrt(2)))*-3)\/((sqrt(90)*-2*6)\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z**2 - 1. Suppose -4*r - 2 = -5*r. Suppose r*f + 8 = -4*c, -1 = 3*f - 5*f - c. Suppose -f*t = -4*l + 18, 0 = -5*t + 4*t - 5*l + 26. What is i(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50481422171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b7 (base 14) to base 3.\nAnswer: -12222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -207193\/69810 + 3\/2327. Calculate the common denominator of n and 7\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4875211003?\nAnswer: 13, 375016231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -465006.5 + 1.01.\nAnswer: -465005.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 9\/6)*2\/1. Let v be 8 + (1 - 0) + -1 + k. What is the derivative of 17*a**2 - 17*a**2 - a**4 + 10*a**4 + v wrt a?\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 199a22?\nAnswer: 199a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*t**2 - 163702697*t**3 + 327405398*t**3 - 163702698*t**3.\nAnswer: 3*t**3 + 33*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.219 + -0.519. Let k be -1 + 9\/(-21) + -2 + 3. What is the third smallest value in 3, -1, v, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 30 = 3*w, -v + 42 = 5*w + 3*v. What is the units digit of -6 - (1 - 187 - w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29216 and 2992?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -1399*n**6\/60 + 4177*n**3\/3 + 2*n**2 + 166*n + 1. Differentiate f(h) wrt h.\nAnswer: -8394*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*b**2*k*s**2 + 7*b**2 + 62*b*k*s - 943*b*k + 5*k*s**2 - 4143*s**3 wrt s?\nAnswer: -26*b**2*k + 10*k - 24858*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**3 - 2657*o**2 - 3*o**3 + 10*o**3 - 11*o**3 + (2*o**3 + 4*o**3 - 4*o**3)*(-2 + 12 - 3) as h*o**3 + t + n*o + p*o**2 and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -283*f + 4916. What is the units digit of h(-39)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -36837, -147630, -332381, -591090?\n\"Answer: -36979*t**2 + 144*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/9)\/(1\/3). Let z be (2\/(-6))\/(1\/2). Let d = z + 4\/9. Which is smaller: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 26. Suppose 13*h + m = 94. Calculate the smallest common multiple of 94 and h.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -33. Suppose -i = 4*i - z. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h - h + 5*h)*(-2*h**2 + 4*h**2 - 6*h**2) + (h**2 - 2*h + 2*h)*(-h - 2 + 2).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 166.109214 to the nearest integer.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 43*k**2 - 2238*k + 99. Give i(52).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v + 714*u = 716*u + 86, -2*v + 11 = 3*u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -835832435151 and -17.99.\nAnswer: -835832435168.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 11, 0, 0.2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8*i**3 + 3*i**2 - 5*i + 3. Let z = -1676 - -1681. Let g(h) = 9*h**3 + 4*h**2 - 6*h + 4. Give z*g(a) - 6*k(a).\nAnswer: -3*a**3 + 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -14, -5, 925, 5, 29 in decreasing order.\nAnswer: 925, 29, 5, 0, -5, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 125394059?\nAnswer: 125394059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/11 (b) 8 (c) -2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1223 divided by -9\nAnswer: -1223\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -99*t + 32. What is the tens digit of k(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 43499680?\nAnswer: 3\/43499680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1940184 divided by 2.\nAnswer: 970092","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(6*n - 1 + 1)*(-117*n - 676*n + 52*n)*(-n**2 - n**2 + 4*n**2).\nAnswer: 17784*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4234 - 1144 = 10*i. Let a = i - 169. Let k = a - 98. Calculate the greatest common factor of k and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.32379mm to meters.\nAnswer: 0.05432379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52281 by 783.\nAnswer: -5809\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25380871 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -17 + (-1 - -1) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3849, -3446, -3041, -2634?\nAnswer: -2225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = t - 4*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 515, 657, 903, 1259, 1731, 2325, 3047, 3903?\nAnswer: 4899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3727*k**2 + 7*k - 5. Let h(q) = 3*q + 5. Let w be h(-1). Is n(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) 24 (c) 136 (d) -10 (e) -3\/7 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(343)*-2*3.\nAnswer: 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, z: 1, m: 1, h: 1, n: 1, a: 1}. Give prob of sequence mhdn.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - 16*a**2 + 34*a**2 - 16*a**2)*(3*a - 5*a + 0*a) as q + g*a**3 + z*a + b*a**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-16))\/(2\/4). Do o and 3\/29 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2671435?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 - -92. Suppose 4*y = -42 - 42. What is the units digit of (-114)\/4*z\/y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.918 + 0.082. What is the third smallest value in q, -1\/6, 1, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 1782*v + 501*v**3 - 1782*v.\nAnswer: 501*v**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -750, -1470, -2190, -2910, -3630?\nAnswer: -4350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -7. Let b be (i\/(-26))\/(32\/2096). Let p = b - 10. Is -1 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-55))\/(1\/6*2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Let q = 2 + n. Find the second derivative of 0*o - 3*o - 2*o + 3*o + 2*o**q wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 3*u + 1\/12*u**4 - 2*u**2 + 7\/6*u**3 + 0. Let r be w(-8). Solve -g - r = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f - 1. Let u be j(-1). Suppose -6 = -4*i + 2*h, -u*i + 3*i + 6 = h. Suppose 8 = -i*b + 32. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-five eighths of a meter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4630925877.\nAnswer: 3, 1543641959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27527971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**4\/4 - w**3\/3 + 11. Let y(u) = -12*u**3 - 11*u**2 + 4. Let r(m) = 22*s(m) - 2*y(m). What is the derivative of r(x) wrt x?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/19 + 8*x**2 + 3034*x\/19 + 5476\/19.\nAnswer: 2*(x + 2)*(x + 37)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x. Let s(c) be the first derivative of 11\/2*c**2 - 8 + 0*c. What is z(s(f))?\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -135787, -135810, -135877, -136012, -136239, -136582, -137065?\n\"Answer: -4*l**3 + 2*l**2 - l - 135784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 - 149\/3. Let o = 0.9 + -1.3. What is the closest to m in -3, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 79*i - 789, 291*i - 294*i - 5*t + 35 = 0 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.4 (c) 7 (d) 5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - w + 20 = 0. What is the common denominator of -43\/33 and w\/(168\/229) + 12\/42?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 9*b**2 + 25*b - 24. Let l be h(5). Let r(d) = 2*d. Let c be r(1). Let m(w) = -6*w**3 + w - 5*w**2 - w**2 + 4*w**c. What is m(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8465\/11 at most -770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0 (b) -2\/7 (c) 80 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -49 in ascending order.\nAnswer: -49, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -344811 by 3.\nAnswer: -114937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**8\/840 - b**5\/24 + 4*b**3\/3 + 5. Let q(n) be the third derivative of o(n). Find the second derivative of q(h) wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-6)*z\/(z*z**(-2\/7)*z))\/(z**(-1)*(z*z*z**(6\/7)\/z*z*z)\/z))**(-16))**(-5) assuming z is positive.\nAnswer: z**(-4800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -156300 rounded to the nearest 1000?\nAnswer: -156000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17d - 9?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712 - 17 = 3*m - 4*a, 1115 = 5*m + 2*a. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1 - 2 = 3*t, 11 = -3*t + 5*c. Let s = 1553 - 1551. Factor -24*a**3 + 4 - 36*a**t - 4*a - 36*a**4 - 4 - 28*a**s.\nAnswer: -4*a*(a + 1)*(3*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194836.\nAnswer: 2, 67, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -235916*v + 32310 with respect to v.\nAnswer: -235916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -4. Suppose 0 = 5*b + 2*k - 5056, 4039 = 4*b + c*k - 13. What is b rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.977 and -1260999178?\nAnswer: 1260999177.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + a**2 + 0*a + 0*a**2 + (0 + a + 0)*(0*a + 4*a - 5*a) + 3 - 3 - a**2.\nAnswer: -a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2146*l**4 + 3375654*l**3\/11 + 620246*l**2 + 3424026*l\/11 + 580\/11 = 0. What is l?\nAnswer: -1, -2\/11803, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b - 14. Let s be d(-8). Calculate the common denominator of ((-2)\/(-3))\/(60\/(-387)) and 1 - (2 - 190\/s - -3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**4 + f**4 + 0*f**4 + (-2*f + 2 - 2)*(-f**3 + 2*f**3 + f**3) + 4*f**4 - f**4 - 2*f**4 + (0*f - 2*f - f)*(2 - 2*f**3 - 2).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 11. Let p be 12*(-2 + 5\/2). Let g be l(p). Let h = 9 + g. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*o = 72, 3*o - 28 = -j + 6*o. Solve -3 = 37*z - j*z - 3*k, -5*z = 5*k - 35 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -5*p + 19, -p - 2*k - 60 = -77 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -491, -920, -1427, -2012, -2675, -3416?\n\"Answer: -39*k**2 - 312*k - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/2*1315\/789?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkv when three letters picked without replacement from sskvyyykososokp.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/7 + 87*v**3\/7 + 331*v**2\/7 - 87*v\/7 - 332\/7 = 0.\nAnswer: -83, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11929\/5 + -394067\/165. Find the common denominator of -50\/9 and y.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-1 - 4) - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2*a + 2*z - 14, 5*a + 3*z - 19 = 0. Suppose -g + 189 = 3*s + 2*g, -4*s + 246 = -a*g. List the prime factors of s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -292, -387, -482, -577, -672?\nAnswer: -767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = p + 1 - 4, 3*k - 2*p + 6 = 0. Solve 5*l - 15 = -d, k = l + d + 2 - 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-6))\/(5 - (-33)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 4 = w. Let b = w + -8. What is the least common multiple of -2 + -4*-2*1 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -3. Let c = 104.4 - 104. Sort s, c, 1 in descending order.\nAnswer: 1, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*v + 2582 = -156*v - 768 for v.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d56 - -1?\nAnswer: d57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30675.12 - -0.4089.\nAnswer: 30675.5289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13900 and 130?\nAnswer: 180700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -0 + 3. Let g = 4 - -10. Let s = g - 20. Which is greater: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -5 - (14 + -23 + 6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 11*m - 5*m. Suppose m = 4*k - 8. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2. Let u(q) = -27*q**2 + 3. Suppose 2*r + 9 = 3. Let z(p) = 190*p**2 - 20. Let y(m) = r*z(m) - 20*u(m). Determine o(y(t)).\nAnswer: 1800*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 26*x**5 - 1804*x**4 + 2198*x**3 + 16892*x**2 + 7424*x - 5440 = 0.\nAnswer: -2, -1, 5\/13, 4, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -33. Let d = 0.08 - -3.92. Let c = d + -8. What is the second smallest value in c, 2\/5, q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/8 - 2867*y**2\/4 - 11034791*y\/8 + 9344800518 = 0 for y.\nAnswer: -3504, 4619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1135526 or 1135511?\nAnswer: 1135526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -56*x**3 + 6*x**2 - 9*x + 2. Let y(p) = p**3 - p**2 + p. Let v(h) = -s(h) - 6*y(h). What is the second derivative of v(o) wrt o?\nAnswer: 300*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -3401, 0.02, -4, 0.006, 5, -3\/2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjxjxjxxjuuxxj. Give prob of picking 2 u.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -276 divided by -12?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3167260503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 112140031 - 5?\nAnswer: 112140023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 - (-7 - (42 + -25 - 40)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 129 - 147. Let s be 7 - ((-18)\/(-81) - 32\/b). Solve 15 - 35 = s*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 4*f - 12, 1059*h - 3*f = 1055*h - 44 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((b*b\/(b*b**27\/b)*b*b*b)\/b)\/b)*b**(-6\/23)*b)\/(((b**(-26)*b)\/b)\/b**18) assuming b is positive.\nAnswer: b**(1604\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*b - 3*b. Let c(u) = -3*u - 16. Let l be c(b). Suppose 4*d = -0*f + f + 242, -l*d = -2*f - 124. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74818259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from vvzzvzvvzzvz?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, b: 1, z: 1, a: 9}. Give prob of picking 1 a, 2 f, and 1 z.\nAnswer: 27\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 10) in base 2?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1\/32, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**3 + 85*k**2 - 3707*k?\nAnswer: -6*k + 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 2*n**7\/15 - 29*n**3\/6 - 26*n**2. What is the first derivative of h(a) wrt a?\nAnswer: 112*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 9. Let a be j(-6). Let u(h) = -5*h + 2. Let f(y) = 6*y - 3. Suppose w - 4 = -0*w. Calculate a*f(g) + w*u(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -316 + 309 + (28 - 2) + 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 17*j - 707. Let v be r(0). Let w = v + 712. Solve w*l - 11*l = 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/981940 and -9\/490970?\nAnswer: 981940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96 or -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397995.\nAnswer: 3, 5, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19.8 - 14. Let y = 5 - l. Let j = 2 + y. What is j rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1246*s**6 - 123*s**5 + 437725*s**2 wrt s.\nAnswer: -149520*s**3 - 7380*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2109\/(-111))\/((-3819)\/(-2412)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 112, -4, 5, -20.\nAnswer: -20, -4, 5, 36, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.6 + 6.8. Let d = 1.8 + o. What is the second smallest value in 2, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 29 = 2*q, -2*q + 5*q - 4 = -2*t. Solve 0 = -i - 2*z - 7, 6 = 2*z - t*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/5, 8, 4, 186, 0.4?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8171 + 16202. What are the prime factors of u?\nAnswer: 3, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2 - 2*h**2 + 0*h**2 - 6*h - 1. Let y(q) = q. Suppose -j = a - 16, -8*a = -4*a - 5*j - 28. Let f be ((-12)\/6 + a\/3)*2. What is f*y(i) + b(i)?\nAnswer: -2*i**2 - 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -120882286 at most as big as -120882285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0573, -0.26326, 3, 1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001757952 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1164417 - -15423.\nAnswer: 1179840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 4*o**2 - 2*o + 13. Let y be w(4). Let j be 3*16\/6 - 0. Suppose -j = 4*b, -2*s + 2*b = 4*b + 2. Solve y*p - 19 = s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -103*m - 377. Let v be j(-4). Solve -4*b + v = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -831*z + 711 = -6462 + 39727 + 10658 for z.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7560)\/(-336)*6\/(-27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48467145?\nAnswer: 3, 5, 3231143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005858224 to 5 decimal places.\nAnswer: 0.00586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-7) - 45\/21\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 3*y**2 - y - 6. Let m be a(-2). Let l(b) = b**2 - 2*b + 11. Let k be l(m). Find the first derivative of 10*f**4 - k - 52*f**4 - 22 wrt f.\nAnswer: -168*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10120101012 - -210021001?\nAnswer: 11100122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/14220 and -97\/9480.\nAnswer: 28440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2. Let w = 0.1194 - 0.4194. Which is the third biggest value? (a) v (b) -4\/3 (c) w (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5449382?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 242 + -99. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdgpdpjpdd. What is prob of picking 2 j?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110 + -3 + (7 - 7 - 22) + 0?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -9*y**4\/16 - 5*y**3\/2 - 9*y**2\/8 - 11. Find v such that t(v) = 0.\nAnswer: -3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3c0 (base 13) to base 14\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37809*j - 18940*j - 18931*j.\nAnswer: -62*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1486 divide 37658212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 45580 = 78*r. Calculate the greatest common divisor of r and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 24 + 28 = 2*s, -g - 2*s = -24. Suppose -3*n - 39 = -5*w, -2*n + 2 = 2*w - 4. Suppose -g - w = -2*u. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14\/(-5))\/(10\/50). Suppose -2*b = 3*w - 0*b + 45, 4*w - 4*b = -60. Which is greater: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31591649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.9 + -34.9. Let a = y - -40.6. Let u = 10.6 - a. What is the third smallest value in -1, u, 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262876435 rounded to the nearest 1000000?\nAnswer: 263000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 144, 148, 134, 96, 28, -76, -222, -416?\n\"Answer: -m**3 - 3*m**2 + 20*m + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 - 5*m - 3. Let j be o(4). Let k = 12 - j. Let t(y) = 2*y**2 - 11*y + 17. Let c be t(6). Solve -c + 4 = -4*w - k*g, w + 2*g = 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2)\/h*h*h**(-7)*h)\/(h\/((h*h**10*h)\/h)*h**(-8)\/h) assuming h is positive.\nAnswer: h**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**5\/20 - 3*y**2\/2 + 3. Let w(n) be the second derivative of k(n). Let q(d) = -d. Calculate q(w(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.23 - 1.13. Let s = x + 0.8. Which is the closest to 0.1? (a) -4\/7 (b) -0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -736777 times -2?\nAnswer: 1473554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 3 + 11)*(-70*y + 70*y + 2*y**2 + 9) to r*y + s + b*y**2 and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-21)\/12 + (-5)\/20)\/(3\/1308). Is p at least as big as -872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/18*(1 - -20). Let m = s + 50. Is 9 a factor of m - (4\/1 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-3)*(-2)\/16. Let c = -7 - -7.5. Put c, d, -1 in decreasing order.\nAnswer: c, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n**3*w - 14*n**3 + 9*n**2*w + 8*n**2 + 81*w wrt w?\nAnswer: -n**3 + 9*n**2 + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1673459593.\nAnswer: 13, 128727661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.67 - -0.33. Let i be (-18)\/5 + 2\/(-5). Which is the second biggest value? (a) -2 (b) s (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2361345\/(-6276)*(-16)\/70.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-7 + 1 + 6 - -1)) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 46683*x - 326888. Determine l(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*q + q + 191, b + 5*q = 58. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u + 69 = -2*i, -5*i = -10. Let v = u + -70. Suppose -v*c = 5*p - 27, 4*p - 9 = p. Solve 4 = 2*q - c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669622 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3091*x**2 - 885*x**2 - 1065*x**2 - 916*x**2.\nAnswer: 225*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:26 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 7 + (6 - 3) + -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcf when three letters picked without replacement from {x: 2, c: 1, o: 4, b: 3, f: 2}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwwrwrrrrffrfwf. What is prob of picking 1 w and 2 r?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -0.066941673?\nAnswer: 0.933058327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h. Let f be c(11). Let k = f + -30. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209272 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 12 = 4*z, 2*j = -0*z + 2*z + 2. Let q(f) = -2*f - 7. Let y be q(-5). Find s such that 2*s**2 - y*s**5 + 4*s**5 - j*s**4 + s - 2*s**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 1591*p**3\/6 + 83*p**2\/2 - 33*p. Differentiate k(w) with respect to w.\nAnswer: 1591","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycczcozctczp. Give prob of sequence py.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from {l: 1, z: 1, d: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5 - 1368\/(-120).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/4)*w*w**(-1\/33))**49)**(3\/5) assuming w is positive.\nAnswer: w**(11123\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 87407*p + 262254. Give z(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -150 - -153. Let f = -1 - -1. Solve -3*z + u + f = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -683, -2724, -6131, -10904?\nAnswer: -17043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7458660?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 235759, 471519, 707279, 943039, 1178799, 1414559?\n\"Answer: 235760*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -16*t - 6. Determine o(-6).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from hghhhgggghhgggghggg.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82)\/(-1107)*-36*((-1555)\/(-388) + -4)?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 3495?\nAnswer: 10485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + g - 3*g + (2 + 1 - 4)*(4*g - g - g) - 7 + 7 - 2*g)*(2*g**2 + 11*g**2 + 0*g**2) to the form q + u*g**3 + x*g + s*g**2 and give u.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**3 - 2*i**3 - i**3)*(-5*i - 3 + 3).\nAnswer: 40*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 13.024.\nAnswer: 14.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 6:30 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 52*u**3 + 113*u**2 + 162*u - 120. Let i(q) = 11*q**3 + 23*q**2 + 33*q - 24. Let l(a) = 19*i(a) - 4*k(a). What is l(16)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4274 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55 + -162075?\nAnswer: -162020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**2 - 56*y + 10. Let q(h) = h**2 - 3 + 19721*h - 9852*h - 9850*h. What is -2*d(t) - 7*q(t)?\nAnswer: t**2 - 21*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 949469.5km in micrometers?\nAnswer: 949469500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**2)\/(f**(1\/7)\/f))**12)**38 assuming f is positive.\nAnswer: f**(-456\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5\/3 (b) -120 (c) 4 (d) -0.2 (e) 0 (f) -20\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2251200 and 9849.\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -86*x**4 - 40*x**5 + 177*x**4 - 86*x**4 + (-2*x**2 + 2*x**2 + x**5)*(4 + 3 - 5).\nAnswer: -38*x**5 + 5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -85340\/9 or -9481?\nAnswer: -9481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -36, 6, -1, -0.09, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, u: 2, q: 2, e: 2, x: 7}. Give prob of sequence yy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 98\/404059 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*s**5\/13 - 6576*s**4\/13 - 196642*s**3\/13 + 734340*s**2\/13 - 366424*s\/13 - 525840\/13 = 0. Calculate s.\nAnswer: -626, -35, -3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 209.65 * 0.077\nAnswer: 16.14305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 547125050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 12:44 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4 + 296*w**3 - 5760*w**2 + 10368*w.\nAnswer: -4*w*(w - 36)**2*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(300) - sqrt(12)) + sqrt(3) + -2 + sqrt(18)\/(-2*sqrt(24)\/sqrt(4)).\nAnswer: -2 + 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/3))**(1\/28)*l**3*l\/((l\/(l*l**6*l))\/l) assuming l is positive.\nAnswer: l**(505\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 491 divide 91882303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeyv when four letters picked without replacement from {y: 2, e: 6, v: 9}.\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 y, and 1 n when three letters picked without replacement from {y: 2, b: 5, n: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 94.9 - 95. What is the third smallest value in 0.5, t, -2, 1.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 8*l**2 - 15*l - 22. Let j be y(-6). Put -33, j, -3 in increasing order.\nAnswer: -33, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (0 - 0) - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12.447 + 1.3\nAnswer: -11.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.881 - 1.119. What is the biggest value in 2, h, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 186 = 3*z - 144, 0 = z + 3*d - 116. Let c = z - 93. Solve c = 4*l + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*z - 66 - 91, -5*f - 3*z = 249. Let r = -27 - f. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 13*q - 54. Let j be h(-17). Let n be 4\/j - (-280)\/49. Let m = 4 - 3. Sort n, m, -2 in descending order.\nAnswer: n, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -488 divided by 6.\nAnswer: -244\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 3004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 5. Suppose -3*y + 24 = 3*c, -2*c + 5*y - 12 = -3*c. Let m be v(c). Solve 3*l - 25 = -m*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7802 - -7761 - (2 - (19 + 0))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001210033976 to 6 decimal places.\nAnswer: -0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 + 1. Let d be o(-1). Suppose 4*j - 3*w = 13 + 30, d*w = -2*j - 1. Suppose -5*u + j*u = 106. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/5)\/(1\/((-5)\/(-5)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 696 and 19140.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence slo when three letters picked without replacement from {s: 1, o: 3, l: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 9. Let l be ((-4)\/(-63))\/((132\/42)\/11). Let s = -0.6 - 5.4. What is the closest to i in l, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451 is divided by 218?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(((l\/l**(-1\/13))\/l)\/l)\/l*l**(-1\/28))\/(l**18\/l*l*(l\/(l**(-5)\/l*l*l)*l)\/l) assuming l is positive.\nAnswer: l**(-8721\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 4*z - 246 + 119 + 116 = 0, -y - z - 2 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 + 0*l**2 + 74*l**3 - 71*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -2. Suppose 0 = 5*i - 18 - b. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 693, 1698, 3021, 4662, 6621, 8898?\nAnswer: 11493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2. Suppose 5*u - 82 + 32 = q. Solve 5*j - u = t - 6*t, -5*j + 4*t = 35 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 8*s**2 - 14*s - 24. Let h be m(10). Find the second derivative of 86*z**3 + h - 2*z**3 + 433*z - 432*z wrt z.\nAnswer: 504*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167445025 a multiple of 2255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + 24. What is the greatest common divisor of 38 and m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 114 + -71?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 4556.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1 + 13 = 0. Let s(w) = -w**2 - 6*w - 4. Let g be s(-6). Suppose -12*i = -21*i. Sort g, b, i in increasing order.\nAnswer: g, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and 18.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2684773\/819 - (-16)\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 9. Suppose 0 = -y + 1. Which is the closest to d? (a) y (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*t**3 - 164820*t**2 - 109884*t.\nAnswer: 3*t*(t - 18314)*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5302 less than -3447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 115.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(100)*-1 + sqrt(100)))\/(4*(sqrt(5) + sqrt(80)))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236 + 3570*t**3 + 211 - 3568*t**3.\nAnswer: 2*t**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92 by 49.\nAnswer: -92\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 402.\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1825 - 556 = 0. Suppose -3335*a + 3333*a = -322. Suppose -n + 0*b + 5*b = -a, 0 = -3*n - 5*b + d. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192, 727, 1610, 2841, 4420, 6347?\nAnswer: 8622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -314, -329, -360, -413, -494, -609, -764, -965?\n\"Answer: -a**3 - 2*a**2 - 2*a - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + -17. Suppose -z + 11*z = 10. Suppose -l + z = -7. What is the remainder when s is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 631*j - 95864. Determine n(-255).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 415520 to the nearest 10000.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f. Let q(d) = -30*d**2 - 19. What is q(k(j))?\nAnswer: -30*j**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1292 and 136724.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 13*k - 50 = -14*k, 0 = 3*h + 2*k - 30. Solve -2*v + 7 = -27*x + 26*x, -4*v = 2*x - h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5608504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94310 is divided by 8098.\nAnswer: 5232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2898000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 12\/(-16))\/((-15)\/24). Let z(g) be the first derivative of 2\/5*g**2 - 2\/5*g + f*g**3 + 2. Solve z(v) = 0 for v.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 - 4*q**4 - 7*q**3 + 10*q**2.\nAnswer: q**2*(q - 5)*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 4*j + 75. Let o be 1*(-2 - (-2)\/(-2)). Calculate the remainder when 2\/(-6)*261\/o is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734393988.\nAnswer: 2, 3, 47, 434039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4 = 4*c, 4*o + c = -6 + 16. Let t(a) = -4 - 4*a + o*a - 2. Let d be t(-5). Solve d*f = 8 + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 2:20 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35231*h + 46308.\nAnswer: 35231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4478848*s - 4405196.\nAnswer: -4478848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70690926?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -171 + 175. Suppose 7 = 5*g + 2*j - 9, 0 = 4*g - 3*j + 1. Solve 2 + g = b*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.14989 and 929.225.\nAnswer: 929.37489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 57754 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**4\/4 - 7*v**3\/6 - 3*v**2. Is h(6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.15 + 0.25. Let j = r + 2. Which is the nearest to j? (a) 0 (b) -1\/3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {j: 6, u: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -11*p - 720. Let k be p\/(-3)*(2 - 31456\/3). Round k to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccucuccccucuc. What is prob of picking 3 c and 1 u?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1 times 176?\nAnswer: 721.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -16\/15493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-3 - 3))\/(13\/(-3484)). Which is smaller: 135 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118561, -118563, -118567, -118573, -118581, -118591, -118603?\nAnswer: -118617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5086912.\nAnswer: 2, 61, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 56, -5, -2 in decreasing order.\nAnswer: 56, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-38 - (-6)\/3). Let u be (-4)\/(-2) - 60\/y. What is the second smallest value in -2, -3, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 20 = 218. Let t be b\/(((-9)\/(-14))\/3). Calculate the greatest common divisor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45205 * -12.\nAnswer: -542460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -344624.68 rounded to the nearest 10000?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 319, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 92893631 and -42.12?\nAnswer: 92893673.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*o = -o - 78, 0 = -5*q + 3*o - 362. Let i be (-28)\/q + 3652\/(-5). Round i to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022021 - -12?\nAnswer: 1022110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(2\/45)\/d*(d\/(d*d**9*d*d))\/d assuming d is positive.\nAnswer: d**(-538\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -919 (base 14) to base 2\nAnswer: -11011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**3*u**2 + 1761*r**3*u - r**3 + 20*r**2*u**2 - r**2 - 2*r*u**2 - 2*u**2 wrt r?\nAnswer: -6*u**2 + 10566*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*v - 5*k + 3, 0 = -3*v + 2*k - 28. Let s be (245\/2)\/(65\/10 + v). Calculate the greatest common divisor of s and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n + 2*n**2 - 2*n**2 - n**2 + 2*n**2 + 6. Let t be f(-9). Let k = -1454\/11 + t. Which is the closest to 0.1? (a) 3 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/690 and -38\/5589.\nAnswer: 55890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -7*g**5\/20 - 2*g**4\/3 - 7*g - 1. Let a(k) be the first derivative of t(k). What is the third derivative of a(u) wrt u?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/11 (b) -1\/18 (c) 2\/11 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1\/(-3) + -8*(-42486)\/144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 - k - 1. Let f(w) = 11*w**3 - 2586*w**2 + 149*w - 3. Let h(n) = -f(n) + 6*j(n). What is the second derivative of h(m) wrt m?\nAnswer: 6*m + 5172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3009 is divided by 1504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, e: 13}. Give prob of picking 2 n and 2 e.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132867 and 7437.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.065 take away 324.6?\nAnswer: -324.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7))**11 assuming t is positive.\nAnswer: t**(-77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 + 83*o**2 - 791*o - 8. Let t be r(8). Let a(k) = -k**2 - 7*k - 25. What is a(t)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*c**2 + 12*c**2 + 9*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/8 + n**3\/4 - 13*n**2\/8 + 5*n\/4.\nAnswer: n*(n - 2)*(n - 1)*(n + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -181 + 405. Suppose a = 3*v - 37. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-73)\/(-4) - 2\/8. Let i(h) be the third derivative of h**6\/120 - 17*h**5\/60 - 19*h**4\/24 + 10*h**3\/3 + 4*h**2. Let y be i(d). Sort y, -3, 14.\nAnswer: -3, y, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2546693m in nanometers?\nAnswer: 254669300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 4. Let v be l(-3). Suppose -v - 95 = -2*x. Suppose 0 = -5*h + x - 16. Solve 2*p + 4 = -2*g, 0 = h*g - 3*g - 2*p - 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -537 + 535. Which is smaller: 103 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4. Let z = 0.01 - -0.99. Let w = 18.4 + -16.4. What is the nearest to w in 1\/5, z, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**3 - 2286166*h + 5799557 wrt h.\nAnswer: 6*h**2 - 2286166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.407 + 0.107. Let v = -1197.8 + 1198. Which is the smallest value? (a) y (b) v (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 8*y + 20, -f + 2*y + 16 = 0. Suppose 3*i = f*i - 15. What is the second derivative of -c**3 + 8*c**3 - 11*c - 3*c**i + 27*c**3 wrt c?\nAnswer: 186*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {s: 2, r: 1, g: 4, e: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -3?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1535 is divided by 765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**3 - 44*x**2 - 12*x + 29. Let z be d(9). Suppose 0 = 3*l - 0*l - 12. Solve 6*a - a = -2*y + 26, 0 = -l*y - z*a + 20 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -291*z**3 + 106*z**3 + 89*z**3 + 98*z**3 + 96*z + 30*z**4 in the form w*z + v*z**4 + n + j*z**2 + d*z**3 and give w.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 1. Let b be l(2). Let n(h) = 2*h**2 - 4*h. Let a be n(b). Solve 3*r - 2*v + 7*v - 5 = 0, 2*r + v + a = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 9\/(-12)*4 - -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/14))**(-2\/103)\/(i*i**(-1))**41 assuming i is positive.\nAnswer: i**(-1\/721)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*((5 + 0 - 3)*(2 + 0 - 3) + (-2 + 0 + 3)*(-1 + 0 + 2))*(-86*m - 95*m - 71*m).\nAnswer: -504*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*m - 179 = 59*m - 664. Solve -12*f + 10*f = m*n - 12, 3*n - f = 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/15*(-7)\/(28\/240). Suppose -18 = -27*v + d*v. Solve 5*l = v + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*q - 0*q + 30, 14 = 3*g - q. Let l be 10\/(-4)*((-24)\/5)\/4. Calculate the highest common divisor of l and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1519113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -267562 (base 10) to base 2.\nAnswer: -1000001010100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 21 = 18. Suppose w - v = -5*v + o, -5*w + 5*v = -140. Suppose 136*k + 260 = 146*k. Is w bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3842*m - 5164.\nAnswer: -3842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*v - 2*v = 163, 4*c - 4*v = 160. Let r be (6 + -3)\/(-3) - c. Is (-1 + 3)*r\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((162\/(-189))\/3)\/((-2)\/140).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 3 (b) 6\/5 (c) 1\/5 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + -3*sqrt(1377) + 3*(sqrt(17) - sqrt(68)\/sqrt(4)) - ((sqrt(425) - 1*-1*sqrt(425) - sqrt(425))**2 + 4*(sqrt(425)*-2 + sqrt(425))**2).\nAnswer: -2125 - 26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184221 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -1. Solve -l = -4*w - 2*g + 7, 0 = -5*w - 4*g + 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -133, -60, 91, 326, 651, 1072, 1595?\nAnswer: 2226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pixggggpx. Give prob of sequence ggg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 5*g**3\/6 + 8*g**2 + g + 2. Let k(o) be the first derivative of d(o). Let p(u) = -u - 3. Give 2*k(h) + 11*p(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-42)\/3)*2)\/(22\/(-22))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljdlllyyyljj. Give prob of sequence ljj.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/8 + (-17)\/12. Is j > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -0.097657?\nAnswer: 0.497657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 4*q + 3, 3*q - 3 = 2*q. Suppose -w*j + j - 712 = -4*u, -2*j = -4*u + 706. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5 + 136*r**4 - 880*r**3 + 604*r**2 + 878*r - 740 = 0.\nAnswer: -74, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 15, -2, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/5)\/m**(1\/13))**0*(m*m**0*m*(m\/m**7*m)\/m)\/(m**(5\/4)\/(m\/(m\/(m*m\/(m\/(m*m\/(((m\/(m**(-5\/4)\/m))\/m)\/m)))*m)))) assuming m is positive.\nAnswer: m**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 3*s - 2*s)*(-2*s + 2*s - 3*s) + 314 - 13456*s**2 + 423 + 13457*s**2 + s**2 - s + s.\nAnswer: -4*s**2 + 737","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 57\/2. What is the closest to 0.6 in 1\/6, -0.1, v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11011002 + -110212120?\nAnswer: -22201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*j + 60, -342*c + 341*c + 45 = 3*j. Let t(k) = k - 4. Let u be t(9). Let g(m) = m**2 - 4*m + 5. What is the remainder when j is divided by g(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**4\/4 + 2*c**3\/3 - 3*c**2\/2 + 2*c - 11. Let k be h(2). Do -2 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -20*p + 12. What is k(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 19*u**2 - 18*u + 3. Let y(n) = 38*n**2 - 35*n + 5. Determine 5*v(d) - 3*y(d).\nAnswer: -19*d**2 + 15*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5)*(2 + 2 - 2)*(77181 + 77057 - 153454)*(1 - 1 - 2)*(5 - 4 + 0)*(-5*g**2 + 2*g**2 + g**2).\nAnswer: -12544*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 921101639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41347362?\nAnswer: 2, 3, 7, 984461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1595207 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.244 + 4.044. What is the second smallest value in -0.1, -2\/9, q, 60?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/29 + 234\/870?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than 1913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -351276 (base 8) to base 10\nAnswer: -119486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59011?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 h when four letters picked without replacement from nnhhbnnhhhnnbn?\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a factor of 471136756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/140 + (0 - 1730\/(-35))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 251969 = -251633 for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgq when three letters picked without replacement from qqqqqqggqqqqq.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f - 25. Let a be m(-4). Factor 4\/3*v**4 - 28\/9*v**a - 2*v + 32\/9*v**2 + 4\/9 - 2\/9*v**5.\nAnswer: -2*(v - 2)*(v - 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10131591 divided by -3377197.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 210121111021 (base 3) in base 5?\nAnswer: 102102430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -12*g**2 + 8. Let s(w) = 15*w**2 - 8. Let z(f) = 3*m(f) + 2*s(f). Let p(l) = 0 + 0 + l**2. Give p(z(q)).\nAnswer: 36*q**4 - 96*q**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109 - 110. Let r(h) = -h**3. Let g(u) = 4*u**3 + 2*u. What is l*g(c) - 5*r(c)?\nAnswer: c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 264 - 259. Suppose 0 = 6*h - 10*h + c + 21, -z*c + 20 = 5*h. Let o(p) = p + 7. Calculate o(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x**2 - 2*x - 17*x**2 - 8*x**3 + 22*x**2)*(6 + 4 - 6).\nAnswer: -32*x**3 - 8*x**2 - 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*4 - sqrt(65))*3)\/sqrt(5).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 2\/1617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2167487740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/c**(1\/18))\/c)\/c*c**30*(c**2*c)**(-3\/40))**40 assuming c is positive.\nAnswer: c**(10699\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10706.4 + -10704. Are 68 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7}. What is prob of sequence yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 22. Let b = 2 - w. Solve 0 = 2*g - b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6731 + -2.3269. Which is the biggest value? (a) 4.35 (b) 5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496100 rounded to the nearest 10000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11142 (base 8) to base 14\nAnswer: 1a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/798 and 20\/49.\nAnswer: 5586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1289\/24640 + 1\/448. Suppose -48 = -5*q + 4*r, -3*q + 4*r = 3*r - 26. Let d(w) = 2*w**2 - 17*w + 8. Let z be d(q). Is z >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1508 and 45617.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 14 = 3*y, -6275*y + 6272*y - 4*c + 22 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5679, 5674, 5667, 5658, 5647, 5634, 5619?\nAnswer: 5602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 333*p + 2448. What is m(-10)?\nAnswer: -882","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96402.\nAnswer: 2, 3, 16067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -409984*b - b**3 - 2 - 19 + 409983*b + b**2. Determine f(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 5*v**8\/1344 - v**7\/56 + v**6\/48 + 64*v**2. Let s(t) = 0. Calculate t.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 6, -2\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 59701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n - 60. Let h = -22 - n. Which is the second biggest value? (a) 0.5 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*2\/(6\/9). Suppose -6*f = -f + 10. Let w be (-1 + 9\/p)*f. Is -1 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9 + 3 - 17916\/(-2985). Is 0 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 380*d + 379*d + 39 = 0, 3*t - 2*d = -0*d - 71 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-416)\/42 - (-20)\/(-210)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -102\/365 - 3\/146. Which is smaller: 3\/7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*g = -16, -2*g + 36 = 3*p + 2*p. Let y(u) = -u + 13. Let d be y(p). What is the tens digit of (-36)\/(-15) - 3 - (-373)\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1073 - 3220\/3. What is the nearest to d in 0, -1, -4, -38?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/81)\/((-14)\/(-6))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -53*p**3 + p**2 - 7. Let n(q) = 79*q**3 - q**2 + 11. Let t(y) = 8*j(y) + 5*n(y). Find the third derivative of t(b) wrt b.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20953605 and 75?\nAnswer: 104768025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 3*q**4\/16 - 3*q**3\/4 + 9*q**2\/8 - 3*q\/4 - 19. Solve s(j) = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -49*a**3 - 46690*a**2 + 241092*a - 310392 = 0.\nAnswer: -958, 18\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1305 - 694 = -3*m - 4*c, -4*c = 4*m - 2672. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 47 - 97 + 52 - t. Let k(g) = -g + 4. Give 2*k(d) - 5*r(d).\nAnswer: 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -401 - -400.5. Which is the closest to 1\/3? (a) 6 (b) -0.3 (c) g (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57337 is divided by 1103?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*c + 36. Suppose 0 = -7*d - 5 + c. Let r(m) = -m**3 + 4*m**2 + 2*m - 7. Let n(j) = -j**2 + 1. Let v(k) = -6*n(k) - r(k). Determine v(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*g, -3*s - 3*g - 47 = -35 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1708*h = 1991*h + 5001 + 659 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e85d25 (base 15) to base 12.\nAnswer: -3852245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 1.44, -0.2?\nAnswer: 1.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -418*f**2*s - 4*s - 125 wrt f?\nAnswer: -836*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/72*24\/(-630).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (5 - -1) + 1 + (1 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 3)*(6\/(-3) - -5). Let w be 41 + 4 - (-12)\/t. Suppose -217 = -2*m + w. What are the prime factors of m?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/2))**(-20)\/((u**(-12)*u*u)\/(u*u**28)))**(1\/23) assuming u is positive.\nAnswer: u**(9\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 16*d**2 + 15*d + 15. Let i be y(-17). Calculate the greatest common divisor of 49 and i.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 1 = -0*t + 3*t, 2 = -4*t + 5*w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + 112\/20)\/1 - 2\/(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.697 - -0.244. Let y = d + 0.059. Suppose -3*i + 11 = 4*k - 4*i, 26 = 4*k + 2*i. Which is the second biggest value? (a) 0.4 (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236990 divided by -2.\nAnswer: -118495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2330.2 + -2330. Let c be 4\/14 + 8\/(-126). What is the third smallest value in p, -1, 0.07, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + sqrt(80)).\nAnswer: 4 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11598 and 6?\nAnswer: 11598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -128, -131, -134, -137, -140?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -211183, -1504, -3, -5 in increasing order.\nAnswer: -211183, -1504, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -568 or -0.01718?\nAnswer: -0.01718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 179*a**2 + 562*a + 36211. Calculate j(-181).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 31. Suppose -b + z = 5. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 7035744 + 7035714 = 6*o, 5*t - 23 = 2*o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2267*l**3 + 4863*l**2 - 9. Let a(z) = -567*z**3 - 1216*z**2 + 2. Let f(w) = 9*a(w) + 2*t(w). What is the third derivative of f(r) wrt r?\nAnswer: -3414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(330)\/(sqrt(110)\/(sqrt(20)\/sqrt(2))))\/(sqrt(110)\/(sqrt(55)\/sqrt(5))*-6).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -94 != -92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 - 76.06. Let x = -11833.66113 + 11832.6. Let m = c - x. Round m to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/((-28)\/(-8)))\/(162\/378). Let z(p) = -p**3 + 6*p**2 - 3*p - 5. Let y be z(4). Suppose 5*d + 5 + y = 0. Which is greater: d or n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12*94\nAnswer: -11.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 11. Let l = n + -10. Let i = 15.936 + l. What is i rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3243.4 + -3243.399967453. What is i rounded to six decimal places?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 845544.7um?\nAnswer: 0.8455447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 679511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)\/(sqrt(27)\/sqrt(3)))\/(-2*sqrt(10)*-3))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60170*l = 60442*l - 5168 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j + 6*j - 3*j)*(-130*j + 61*j - 84*j)*(3*j**3 + 1 - 1).\nAnswer: -4131*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-3 - -2) - -2. Suppose k*m - 23 = -a - 2*m, -a - m = -28. What is the remainder when a is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 685 + 668 - 7*k - 2006 + 669. Give b(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2397.2 + 2397.2. What is the nearest to -4 in h, -0.5, 33?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1*2\/(-4)). Suppose b + 1 = 2*x, -h*x - 1 + 14 = -5*b. Let u = x + 5. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*f - 448879*f**2 - 147*f + 448871*f**2.\nAnswer: -8*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -22. What is the lowest common multiple of a and (-1)\/(-3) - (-5)\/3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 15 = 5*v + 10, 3*v + 1 = s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 98?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/83 - -347\/415. Let t = -3.499 + 3.699. Let a be ((-8)\/14)\/(-2 - 4). What is the third smallest value in t, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 4:54 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 0 + 0)*(3*a + 0*a - 5*a - 3) - 6 + 6 - 4*a in the form j*a + g and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 232751 + -144305577\/620. Calculate the common denominator of 82\/1395 and x.\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 7. Suppose 0 = 37*j - 34*j + 3. Let i be ((-17)\/(-15) + j)\/(62\/93). Which is the nearest to i? (a) w (b) -0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201521569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 237 + -234. Calculate the highest common divisor of 24 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**3 - 6*x + 13. Let f(i) = -4*i**3 + 5*i - 12. Let y(a) = -6*f(a) - 5*t(a). What is the first derivative of y(p) wrt p?\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9227 is divided by 4516?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62587.28 grams in micrograms?\nAnswer: 62587280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 220111021 (base 3) to base 4\nAnswer: 10112332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18677 (base 10) to base 12\nAnswer: a985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6*w - 4*d = 258, 42 = w - 4*d. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87.09 - 87. Sort -0.5, q, -4, 0 in increasing order.\nAnswer: -4, -0.5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 8:19 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, s: 2, x: 1, g: 1}. Give prob of picking 2 s, 1 x, and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63614 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 13*v**2 - 12*v - 1. Let w be f(12). Let i(z) = -370*z + 1. Does 53 divide i(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3397, -13633, -30729, -54715, -85621, -123477, -168313?\n\"Answer: -5*l**3 - 3400*l**2 - l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -8\/3 (b) -1\/2 (c) -63.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 = -4. Suppose -3*c + 2 = -2*w, w - 1 = j. Solve -c*z - 2 = 3*y - 10, -2*z - y = -4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4530 = -10*j - 1190. Suppose -y - 295 = -4*q, -2*y + j - 48 = 4*q. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -15 - (-14 - -10) - -4091411. Round m to the nearest 10000.\nAnswer: 4090000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of -6*(-4)\/10*-3*-1925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80489226 to the power of 1\/2, to the nearest integer?\nAnswer: 8972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0 - 2 - 2 + 1 + (2 - 6 + 2)*(0 + 1 + 1))*(-3*q + 0*q + q)*(4 - q - 4).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = 2*a - 2*t, 4*a - 5*t + 8*t = -448. Let s = 547 + a. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/14 and -83\/38.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 19*l**3\/6 - l. Let u(w) = 2*w**2 + 22*w + 21*w + 6*w - 49*w. Give u(f(i)).\nAnswer: 722*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/5)*o)**(-39)*(o**(-6)*o)\/((o\/(o\/o**(2\/15)))\/o))\/(o**7*o\/(o*o*((o*o**6\/o)\/o)\/o))**(-11) assuming o is positive.\nAnswer: o**(-1136\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -1 (c) 4 (d) -9 (e) -3 (f) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 4*c**2 - 2*c - 2. Calculate j(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 159\/7?\nAnswer: 159\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*l**6 - 7 - 6 + 4*l**3 + 3*l**2 + 28 - 7 wrt l?\nAnswer: 600*l**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 29*d - 767. What is the remainder when 948 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 8*i**2 + 2*i - 14. Let p be g(6). Suppose 5*v + 157 = p. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + n + 1. Let y(v) = -5*v**3 + 5*v**2 - 9*v + 5. Let s(z) = 5*z**3 - 6*z**2 + 10*z - 6. Let g(m) = -5*s(m) - 6*y(m). Determine -g(p) + 2*t(p).\nAnswer: -3*p**3 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6342, 6340, 6336, 6330, 6322?\nAnswer: 6312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 46*c**2. Let f(z) = 333118*z. Calculate g(f(s)).\nAnswer: 5104509688504*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, -3, 7.8, 322?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f - 12 = 4*g, 3 = 2*f - g. Let i(h) = -3*h + 13. Let y be i(4). Solve f*s - s = y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-14)*q**0)\/(q**(-3\/11)*q*q\/(q\/(q**(-14)\/q))))**(-7\/12) assuming q is positive.\nAnswer: q**(-49\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1. Let j(k) = -26*k - 45. Determine -4*b(l) - j(l).\nAnswer: 26*l + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -69*q + 57*q. Solve -q*p = -3*p - 21 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 11 + -1 + (-6 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000010110101 (base 2) in base 12?\nAnswer: 9705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-13 + 7 + 2) - (1 + 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 6:46 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -1)*21\/(-21). Let t(c) = -c**2 - 6*c + 2869. Is t(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174843599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11092*g**4 + 2*g**3 + g**2 - g - 6750205 wrt g.\nAnswer: 44368*g**3 + 6*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*t + 5*w - 18, -3*w + 5 = 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(1 + -1 + -2). Let i(q) = -2*q**2 + 5*q**2 - q**h. Let a(u) = -11*u + 11*u - u**2. Give i(a(t)).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*h + 47*h - 94985 = 0. What is the remainder when h is divided by 48?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 390\/5*(2 + (-6)\/4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6325672417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1. Let h(v) = -v + 9. Let m(c) = 4*h(c) - 36*o(c). Let j(a) be the first derivative of -a**2\/2 - 2. What is m(j(d))?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*b = -36*b + 426*b - 29480 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (48\/(-18))\/((-2)\/9). Let t = 3 + r. Calculate the highest common factor of 15 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6)\/j*j*j*j\/(j**(-6)\/j))**1)**(-2\/7) assuming j is positive.\nAnswer: j**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, b: 8, m: 1, p: 5, i: 1}. What is prob of picking 2 b?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -451 and -0.19.\nAnswer: 85.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) -4 (c) 5 (d) -58 (e) -0.2 (f) 0 (g) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 212 and 162286.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 450894 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1686166 divided by 20563?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 16*o**3 + 4*o**2 - 2*o - 14. Let s be u(5). Let x = 81872\/9 - 704387\/63. Let c = x + s. What is the common denominator of -7\/4 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 747 is divided by 150?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 2*b + 54 = 0. Suppose 0 = -q - x + b*x + 25, 0 = 3*q - 5*x - 55. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1384 = 31*w + 58*w - 930 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216696, -433390, -650084?\nAnswer: -866778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000087 rounded to 7 decimal places?\nAnswer: -0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27\/7*k**4 - 15\/7*k**2 - 48\/7*k**3 + 6\/7*k + 0.\nAnswer: -3*k*(k + 1)**2*(9*k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a micrometer in nanometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59408 is divided by 3488.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2385166 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (574\/49 - 11)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -22, 2\/609, 1\/3, 281?\nAnswer: 2\/609","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 3:58 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 43396120 and 43396120 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 - 7*y - 2. Let s be t(3). Suppose 5*n - s*q = 61, n - q = 11 + 1. What is the remainder when 49 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4, 40, 124, 274, 508, 844?\n\"Answer: 3*v**3 + 6*v**2 - 3*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4981*v + 593470 = -2001*v for v.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/98542 and 59\/10.\nAnswer: 492710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 224445800 to the nearest 1000000.\nAnswer: 224000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4))**(2\/27)\/(r**(-2))**(1\/17) assuming r is positive.\nAnswer: r**(91\/918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 3*b + 42. Let l be z(7). Find the third derivative of 9*k**2 + 324 - 322 + l*k**2 + 22*k**4 wrt k.\nAnswer: 528*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98256 and 192.\nAnswer: 393024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 106536 a multiple of 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 64*a**4 + 5*a**3 + 5*a**2 - 10. Let h(b) = -32*b**4 - 3*b**3 - 3*b**2 + 5. Let f(n) = 5*h(n) + 3*m(n). What is the first derivative of f(r) wrt r?\nAnswer: 128*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2. Let u(d) be the third derivative of -6*d**2 + 0 + 0*d**4 + 0*d + 0*d**3 - 1\/3*d**5. Give v(u(f)).\nAnswer: 800*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**3\/3 - 3*u**2\/2 + 43*u - 13. Let g be j(-7). Solve -8*x = -5*x - g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 202 = 2*q + 2*q, -4*q = k + 203. Let s = q - -119. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6419945*n**2 + 12839883*n**2 - 6419956*n**2.\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 740750.8 millennia to years.\nAnswer: 740750800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 707 + -697. Suppose -8*g + 12*g = 4*f - 2012, 0 = 2*f + k. Which is smaller: -507 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 6:18 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -599618.5?\nAnswer: -599619.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 648 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 18\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61 + -297 - -321) + 18\/(-1 - 1).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -1)\/(-5 + 4). Let k be ((-12)\/10)\/((3\/(-10))\/1). Solve y*r - r + k = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**3 - 2*s**2 - 5*s - 2. Let i(d) = 6*d**3 - 4*d**2 - 10*d - 4. What is 4*i(p) - 9*j(p)?\nAnswer: -3*p**3 + 2*p**2 + 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133 (base 6) in base 9?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - (-15 - -20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -758 + 758 + 4789*l.\nAnswer: 4789*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 20*u - 534. Calculate s(-28).\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 (base 9) in base 6?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 g, and 1 l when four letters picked without replacement from lltgagglllgllggggg.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5951.372 nanograms in micrograms?\nAnswer: 5.951372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 976072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1742?\nAnswer: 2\/871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s**2 + 765*s - 26. Is o(-149) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002097 to 6 decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 0*w - 2*w + 2*w + 5 + 7*w. Let u(p) be the third derivative of 5*p**4\/8 + 11*p**3\/6 + 95*p**2. Calculate 13*a(i) - 6*u(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**3 + 2347 - 3*a**2 - a**3 - 2364 to the form o*a + i*a**3 + d + j*a**2 and give d.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l. Let h(m) be the second derivative of -361*m**4\/12 - 2*m**2 - 155*m. Let y(u) = -u**2 + 1. Let t(b) = h(b) + 3*y(b). Give t(k(i)).\nAnswer: -1456*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 0. Suppose 0 = a - g. Suppose -4*d + 13 = a. Solve 4*h - d*h + 4*m - 5 = 0, -h - 3 = -4*m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -202, -247, -222, -103?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -9. Let u = z - -18. Is -0.1 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/20 and -13\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 g, and 1 u when three letters picked without replacement from {u: 1, v: 2, n: 3, g: 3, d: 5}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 4*s - 3. Suppose 2*f = 0, 4*f = g + 3*f - 2. Let y be t(g). Let q = y + -4. What is the remainder when 9 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157918 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**3 - a**2 - 16*a + 5*a**3 + 181*a.\nAnswer: -a**3 - a**2 + 165*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 77 = 7*i, -4*i + 4*n - 77 = -9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103548 to the power of 1\/2, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*r - 5*h, -3*h + 10 = r + 2. Suppose 7*s = r*s - 7. Differentiate -9 - 5*d - 7 + s with respect to d.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = v - n, -2*v = -5*n + 6*n - 606. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316 = 3*u + 4*p, p + 212 = 2*u + 3*p. Is 18 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 75 - 8*w**2 - 59 - 16. Let y(l) = -l. Let g(x) = 7*x. Suppose d + 5 = 4. Let n(o) = d*g(o) - 4*y(o). Give v(n(i)).\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7637 - 13857 - 7994 = -834*d + 11378 for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - g - 2. Let b(s) = 5*s**2 + 3*s - 36. Give b(k) + 2*u(k).\nAnswer: 3*k**2 + k - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3.249 - 6662\nAnswer: -6665.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g = -3 + 42 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 0 + 0)*(-1 + 0 - 1) + 17 + 10*n - 17 - 5*n + 0*n - 1 + 4*n.\nAnswer: 7*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-278.5\nAnswer: -278.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 262852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -756*a = -750*a - 1476. Suppose -5*f = -5, -p + 2 = 2*f - 13. Calculate the remainder when a is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -448587 - -448629.000106. Let c = z - 42. Round c to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 3 (c) -2\/37 (d) -1 (e) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*q - 95*q + 1640 = 0. What is the greatest common factor of q and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -14*m**4\/5 - 186*m**3\/5 - 102*m**2\/5 + 818*m\/5 - 516\/5 = 0.\nAnswer: -86\/7, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1906, 1811, 1652, 1429, 1142, 791, 376?\n\"Answer: -32*d**2 + d + 1937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 3 + 11 + (28 - 13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k + 8. Let l be (-52)\/14 - 8\/28. Let p(c) = 3*c - 10. Let n(d) = l*p(d) - 5*m(d). Let s(i) = -3*i**2 - 2*i**2 + 2*i**2. What is s(n(a))?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8960180772 take away 731?\nAnswer: 8960180041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/32*((-2)\/6 + (-3604)\/(-7140)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5731665 divided by -1.\nAnswer: -5731665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n**5 + 21*n**4 - 21*n**4)*(6 - 3 - 1).\nAnswer: 16*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*f - 3466, -3*n - n + 16 = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t + 4. Let l be b(3). Let r(o) = 65*o - 1 - 21*o + 2 + l*o. Is r(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7017 is divided by 455.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**1)**22*t**(-2)*t*t*t*t\/(t*t**2\/t))\/(t\/t**2*t**(6\/11)*t**(-6)*t**(-1\/10)) assuming t is positive.\nAnswer: t**(5561\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 s when three letters picked without replacement from awaqqwiiiqqiqwiqsa?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 112*d**2 + 65*d - 74. Let o(t) = -22*t**2 - 13*t + 15. Let i(j) = -2*l(j) - 11*o(j). Calculate the smallest common multiple of i(2) and 30.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 55 + 29*i - 46*i - 52 + 23*i. Let a(v) = 0*v**2 - 10*v**2 + 5*v**2. Give a(y(s)).\nAnswer: -180*s**2 - 180*s - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*g + 2*g + 4*g + 7*g to the form u*g + q and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -869 + 7*x + 869 - 4*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + j = -5, r + r + 4*j + 2 = 0. Let i = r + 21. What are the prime factors of ((-4)\/(-6))\/(4\/i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1859426\/55 - -164936\/5. Let c = 820 + d. Suppose -x + 4*k - 8 = 2*k, 2*x + 4*k = 8. Are x and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.309281 kilometers to micrometers.\nAnswer: 1309281000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, 73, 307, 793, 1615?\n\"Answer: 14*c**3 - 32*c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -171.0135 + 171.3. Round r to three decimal places.\nAnswer: 0.287","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28446706 is divided by 116109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 54*p**3 + 488*p**2 + 18*p + 2. Let z be i(-9). What is k in 4\/3*k**z - 1\/3*k**3 + k - 6 = 0?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3647840 divided by 140\nAnswer: -26056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 24. Let u be 6\/(-14) - 8\/84*-309. Let x = -13 + u. Let v be w(x). 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 b be 8\/(-20) - 130566\/(-190). Let t = 687 - b. Suppose 7 = -3*f - 2, 0 = 4*v - 3*f - 9. Which is bigger: t or v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 13*g + 4*g - g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.81983 to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1545*q**2 + 108*q + 9?\nAnswer: 3090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 11) to base 7\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 36447.70268 to the nearest one hundred.\nAnswer: 36400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 - 20*y**2 - 4*y**2 + 3*y**2 in the form f*y**2 + i*y + j and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-4)*(-228)\/(-171)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -500*q + 505*q - 154, -2*n = -0*q - 11*q + 332 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 351 = -523. Suppose -n = -10*k + 14. Calculate the greatest common factor of k and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.79 times 6?\nAnswer: 28.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 0.2 (c) 24 (d) -1.2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*m - 24048, 2*a = -0*m + 4*m - 19230. Let v = 8078 - m. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhaaaaaaaaaaha. Give prob of sequence hha.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t - 3. Let b(u) = -4*u + 4. Let n be (-8940)\/20 + (-4 - -1). Let l = -447 - n. Give l*b(v) + 4*k(v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 11 = 3*f - 25, -s + 9 = 2*f. Let t = 25 - s. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(200))**2 + -2)*-2.\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 13. Solve 5*x - 6 - 4 = v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2267176.\nAnswer: 2, 283397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 - 33*c - c**3 + 3*c**3.\nAnswer: 4*c**3 - 33*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 488 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*i + 1 = 0, -2*p + i = -4 - 3. Solve b + 3 = 6*b + y, 11 = p*b - 3*y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -1\/4, -8, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((4\/3)\/(-1))\/((-12)\/(-90)). Find the common denominator of (1\/(18\/(-86)))\/((-19)\/(-57)) and 51*(-2)\/i + -13 + 11.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4279, 4289, 4307, 4333, 4367, 4409, 4459?\nAnswer: 4517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -40535515?\nAnswer: -40535520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -213 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhwfwhhhdrhffwd. Give prob of sequence wr.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqq when three letters picked without replacement from {q: 2, e: 5, l: 11, m: 2}.\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + j**2 - 2*j - 2. Let p be n(-2). Let s be 1\/2 + (-100)\/(-8). Let h = s + p. What is the remainder when h is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2117 or -4233\/2?\nAnswer: -2117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 7 = 3*y, -4*y = -j - 24 + 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8299.\nAnswer: 43, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + -16. Let q = 19.5 - s. Let m = 300\/1099 - -2\/157. What is the closest to m in -4, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 0*h**4 - 1\/420*h**5 - 1\/6*h**3 - 9*h**2 - 1\/1260*h**6 + 0 + 0*h. Let w(m) be the first derivative of a(m). Factor w(f).\nAnswer: -2*f*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000000000110111 + 10?\nAnswer: 100000000000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**3 + 31*z**2 + z + 3. Let b(i) = -2*i**3 - 15*i**2 - i - 1. Determine -5*b(q) - 2*v(q).\nAnswer: 2*q**3 + 13*q**2 + 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 227893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 3*l + 36, -4*r - 44 = -1665*l + 1668*l for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1815181 to four decimal places.\nAnswer: -0.1815","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose k + v - 847 = 0, 65*k = 69*k - 2*v - 3418. Calculate the smallest common multiple of 781 and k.\nAnswer: 9372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*t - 548 = 50*t. Let n = 137 + t. Solve n = m - 3 - 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 339 + -402. Which is smaller: -65 or q?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*h. Which is bigger: h or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 987385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9267227 - 18.46269.\nAnswer: -9267245.46269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 - 5*g - 5. Let c(n) = -n - 1. Let r(u) = 3*a(u) - 15*c(u). Let f(t) be the third derivative of t**4\/12 - 211*t**2. Calculate f(r(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = 14 + 162. Suppose -4*c + 5 = -119. Let b = c + s. Solve 5*m + b = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-213*g - 107*g + 1125*g + 772*g + 1297*g)*(-2*g + 3*g - 2*g) as j*g**2 + t*g + u and give j.\nAnswer: -2874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110111 (base 2) in base 16?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 17*x**2 + 18*x + 7. Give v(-16).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9619667 meters in millimeters?\nAnswer: 961.9667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-6 + -65 + 0) - (-31 - -10).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 13*z**2 + 4*z + 19. Let y = -6 + 18. Is b(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*h - 15, 5*n + 3*h = 141. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1573 - 856 - 2*d**2 - 17*d - 21*d - 837.\nAnswer: -2*(d + 4)*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**15\/(a**(-2\/7)\/a))\/(a\/(a\/a**(-6)))**(3\/4) assuming a is positive.\nAnswer: a**(291\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + -11 + (-1 - -12) - 52) + (0 - -3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 1. Let c be g(-2). Suppose -c*y + 4 - 16 = 0. Let w be -262 - (y + 0 + 2). Round w to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 11 = -0*m - 5*m, 3*d - 9 = 3*m. Suppose 5 = d*k + 27. Is -5 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 414, 415, 430, 465, 526, 619, 750?\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306, -737, -1332, -2091, -3014, -4101?\nAnswer: -5352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4964620 is divided by 1064?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 12:16 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-3))**20\/(d**(-2\/21)*d**10) assuming d is positive.\nAnswer: d**(-1048\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6729000 rounded to the nearest 100000?\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 13*o**3 + 9*o - 9\/4*o**4 - 39\/2*o**2 + 4. Factor r(v).\nAnswer: -3*(v - 3)*(v - 1)*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**3 + 143*g**2 + 47*g + 39. Let z be b(48). Let o(j) = j**3 + 8*j**2 - j - 12. What is o(z)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f**3 + 264*f**2 - 552*f - 16321. Calculate m(40).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -44 - -0.11\nAnswer: -43.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48229325219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + (2*1)\/(-2). Let q = 36 + -29. Let r(b) = -10*b**2 + 6*b + 10. Let l(y) = -7*y**2 + 4*y + 7. Let g(m) = q*l(m) - 5*r(m). Calculate g(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 - w**2 + 1. Let o(a) = -14 + 2 + a + 23. Let z be o(-12). Determine j(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 12*l**2 - 15*l.\nAnswer: 3*l*(l - 5)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17804*r + 12?\nAnswer: -17804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -314003\/28 + 11211. What is the common denominator of -101\/108 and w?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - -14 - -12 - 21?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2 - (-357)\/42. Calculate the highest common factor of 18 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111101000000110 (base 2) in base 16?\nAnswer: 7a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q = 27*q + 26 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 times 345?\nAnswer: -41745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - 33013?\nAnswer: -33002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*g**2 - 899*g + 8*g**3 - 9*g**3 + 903*g + 4 in the form k*g**2 + q*g**3 + d*g + m and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5 = 9. Suppose -28*m = -29*m + 13. Suppose -m*n + 18*n = 200. Calculate the remainder when n is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 758*w - 17966. Give z(-781).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -2*i**6\/3 + 20*i**3\/3 + 51*i**2\/2 + 13. What is the second derivative of m(g) wrt g?\nAnswer: -80*g**3 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001100111 + 11110?\nAnswer: 111010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*h + 10546 - 7549 + 19003 = 0. Calculate the least common multiple of h and 4.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 7:35 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2)*h)**(-1\/46)\/((h*h*h**(1\/9))\/(h\/(h\/(h*h**2)))))\/((h**(-3)*h*h**(-5))\/(h*h**(4\/7)*h*h\/(h*h\/(h*h**(-7)))*h)) assuming h is positive.\nAnswer: h**(12989\/2898)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 0 + 15*y + 0.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 130 - 130. Let f(g) = 4*g. Let p be 6\/9 - (-76)\/(-6). Let n(c) = -c. Let y(s) = p*n(s) - 4*f(s). Determine y(q(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.1 + -2.4. Let k = b + -2.3. What is the biggest value in -2\/5, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-120)*5\/24*-8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*o - 16 = 0, 3*n - 2*o = 64 - 72. Let k(a) be the second derivative of n*a**2 + 0 + 0*a**3 + 1\/12*a**4 - 1\/80*a**5 + 3*a. Factor k(u).\nAnswer: -u**2*(u - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 66 + 6. Let t(u) = u**2 - 5*u + 5. Let s be t(4). Calculate the remainder when (s + 43)*(-2)\/(-4) is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 551\/(-252) - (-4)\/(-14) and ((-39)\/54*3 - -2)\/(42\/1239).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 = -10*u + 41*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -9*u**2 + 3*u + 3. Let s(g) = -4*g**2 + g + 1. Let o = 78 + -83. Calculate o*s(w) + 2*t(w).\nAnswer: 2*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f, 2*d = 5*d - 2*f - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - 2*s + s**5 + (3 - 1 - 1)*(2*s**5 + 0*s**4 + 0*s**4) - 3*s**5 - 4*s**5 + 0*s**5.\nAnswer: -4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -448 in 5, 0.97, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 592545573 to the power of 1\/3, to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.2 take away 22849?\nAnswer: -22864.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7 = -8. Suppose 3*c + 2*c - 10 = 0, c - 7 = -r. Let z be (r\/15)\/((-1)\/(-12)). Solve -2*w - 2 - z = d, 0 = 5*w + j*d + 25 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 11 = 3*g, 4*g = 3*q - 0*q - 9. Let s be (g\/(-4)*-1)\/(3\/444). What is s rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*c + 6*c - 3*c)*(10 - 3 + 4) - 2*c + c + 3*c as n + d*c and give d.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27581.09mm in nanometers?\nAnswer: 27581090000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -427 - -841. Suppose 6*k = -270 + i. Let c be (-1 - -1)\/((-4)\/(-2)). Solve -b - 4*a = a - k, c = 5*b - 5*a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**4\/w**22 assuming w is positive.\nAnswer: w**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22128539 is divided by 570?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(144\/(-794)) + 1\/(-8). What is the second smallest value in 0.5, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnriirririiirriini. Give prob of picking 2 r and 2 i.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + 3*p + 4*p - 11 + 194 + 0*p.\nAnswer: 3*p**2 + 7*p + 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2225302 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8*l = -40. Suppose 0 = 3*h - l*h + 215. What are the prime factors of h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*b**5 - b**3 + b**2*j - b*j - 3*b - j - 32 wrt b.\nAnswer: 900*b**3 - 6*b + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -531216 divided by 6.\nAnswer: -88536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1595.337 micrograms to milligrams.\nAnswer: 1.595337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from pcbgucpiggigupcu.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/252*8\/6*-1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*110\/1800*7)\/((-70)\/(-20)).\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, b: 2, y: 3, r: 2}. What is prob of sequence bo?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6132 or -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018677984494 rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13438861.69124 - 13322505.8712402. Let t = b - 116358.82. Let d = t + 3. Round d to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 6*p + 119. Let t = -7 - p. Calculate the remainder when 17 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**3\/3 - 6*d. Let i(g) = -g**3 + 5*g**2 + 5*g + 1. Let q be i(6). Is 4 a factor of x(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10872*w - 10865*w = 9443. What is the remainder when w is divided by 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**3 - 14*r**2 + 22*r - 55. Determine f(7).\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/7 - 20 - (15\/3 - -3)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 17*d**2 - 10)*(0*d**2 + 3*d**2 - d**2) + (7*d - 4*d - 11*d)*(4*d**3 + 2*d**3 - 7*d**3) in the form w*d**3 + r*d + x + o*d**2 + b*d**4 and give b.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5d + 7?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 1. Let a be o(-5). Suppose -5*z = -5*v - 10, a*v + 22 = 4*v + 2*z. Let d be v\/9 + (-27004)\/(-6). Round d to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452374?\nAnswer: 2, 13, 127, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 5468049.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1710 and 180?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdddddjddjdddddjd. Give prob of sequence dd.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*k + u, 5*k - 20 - 5 = 3*u. Suppose 3*n = 7 + k. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o + o**2 + 0*o - 2*o + 5 - 2*o. What is z(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 2, 20.\nAnswer: 0, 2, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4256*l**2 - 3*l + 10. Let f be c(2). What is the hundreds digit of ((-17)\/(-51))\/(0 - (-4)\/f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100101111001011 + 1101?\nAnswer: -1100101110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10910 divided by 19779.\nAnswer: -10910\/19779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102311 + -131033202?\nAnswer: -130330231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1064158?\nAnswer: 2, 149, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44674*c**5 + 13*c**2 - 780*c wrt c.\nAnswer: 2680440*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*b = 53*b - 38 + 1237 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*d**2 + 136*d - 9 = 0. Calculate d.\nAnswer: 1\/15, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/28 - (-58)\/(-7). Calculate the least common multiple of 6\/(-5)*(-20)\/6 and b\/((-6)\/(-9)*-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 247, 379, 513, 649, 787?\nAnswer: 927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwswwmvswwsv. What is prob of picking 2 w, 1 m, and 1 v?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-41)\/(-6) - 1\/(-3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 9*b**2 - 12*b + 5. Let v be -3 - -3*7\/(-3). Is 14 a factor of p(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.376216m in centimeters?\nAnswer: 237.6216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 225962065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-28)*t*t\/(t*t**(-3)\/t))**(12\/5) assuming t is positive.\nAnswer: t**(-276\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1409094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 less than or equal to 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -m + 12, -4*m + 21 = k - 27. Let t(u) = 2*u**3 - 17*u**2 - 5*u + 11. Is t(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5035 - -5056. Put n, -42, 2 in increasing order.\nAnswer: -42, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w**3 + 2*w**2 - 3*w - 3. What is the remainder when 151 is divided by q(2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.774 - -1.65991\nAnswer: 6.43391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**6\/150 - q**5\/20 - 2*q**4\/15 - 2*q**3\/15 - 6*q - 2. Factor g(x).\nAnswer: -x*(x + 1)*(x + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*r + 304 = 630 + 4672 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 3)*(0*y + y + y + (-2 + 1 - 1)*(y - 3*y - 3*y)).\nAnswer: 36*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/405 and 75\/14.\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3384*v**3 + 3*v**2 - 15*v. Let y be m(5). What is y rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264821?\nAnswer: 137, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -23*w + 1696. Give p(67).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -11\/39526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttpfpptktipitiit. What is prob of picking 2 p?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - z**3 - 9*z**3 - 2 + 2*z + 6*z**3 to the form n + m*z + o*z**2 + y*z**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l = -3*k + 3*l - 6, -4*k - 8 = 5*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3*g + 234, -3*z + z + 150 = -g. Let u = z + -20. Calculate the highest common divisor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.1531, 4 in ascending order.\nAnswer: -0.1531, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 291, 442, 571, 666, 715, 706, 627, 466?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3553, 7168, 10723, 14212, 17629?\nAnswer: 20968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8537 + 230*p**2 - 230*p**2 + 9*p + 16*p**3 + p.\nAnswer: 16*p**3 + 10*p + 8537","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129 - 65. Let y = f + -43. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -646*y - 644*y + 182*y**3 - 2045*y + 3335*y.\nAnswer: 182*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + 27. Does 21 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324)*-3*4)\/(sqrt(4)\/(sqrt(6)\/sqrt(3)) - sqrt(2)*2*-2))**2.\nAnswer: 23328\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 392 - 780 + 388.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-1)*(-550)\/32175.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 66.05 and 1621.\nAnswer: 107067.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3. Suppose 2 = x*v - 4. Suppose 0 = -v*l - 4*p + 19, l - 2*l - p = -5. Solve -5 = -2*h + l, 7 = 5*b - h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -137\/1296 or -1?\nAnswer: -137\/1296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.137 + -0.05. Let c = 10.14 - 10. Let b = n - c. Round b to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 912, 1, -23.\nAnswer: -23, 1, 912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/4104 and -103\/81168?\nAnswer: 730512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444\/2 - 2\/(-1 + -1) is divided by 59?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-5) + -1)\/1. Let d = -5 + 4. Sort z, -5, d in increasing order.\nAnswer: -5, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -30. Suppose -5*j = -2*d - 8, j = 4*d + m*j + 16. What is the remainder when d\/(-6) - 86\/(-6) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 415862?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/9 and 13\/2526.\nAnswer: 7578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 304 = x, x - 5*j = 310 - 46. Let n = -235 + x. Suppose -5*q = -10, -4*c + 3*q + 26 - 4 = 0. What is the highest common factor of c and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803111019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from kkkyyyykkkykkkkk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**3\/3 + 41258*c**2 - 6100708*c + 676975976\/3 = 0.\nAnswer: 74, 123626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33192, -66337, -99488, -132645, -165808, -198977?\nAnswer: -232152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 4*f**2 - 122*f - 221. Calculate the remainder when 501 is divided by p(-12).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + -53. Is s <= -69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163 - -33. Let i = l - -129.9999538. Round i to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/87551 and 20\/7792039.\nAnswer: 7792039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-26) + 48\/195?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329*h**3 + 323*h**3 - 643*h**3.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*m + 5283 = 13693, 2*d + 2*m = 4206. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 2*l**2 - 2*l + 3. Let p be c(2). Let y(m) = m**3 + 9*m**2 + 7*m - 9. Let w be y(-8). Let f be 3 + 36\/(-10) - w. Is p equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 992477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0*1092009\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(720) + 0 + sqrt(720))**2 + -3 + (sqrt(20)\/(sqrt(64) - sqrt(4)) - ((sqrt(5) + -1)**2 + -5)).\nAnswer: 7*sqrt(5)\/3 + 2878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 11) to base 8\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 0.1667?\nAnswer: -0.0667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -8172, 4, -3 in decreasing order.\nAnswer: 4, -3, -8172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 121358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*u - 5600 = -3*u, -4*u + 1400 = i. Let q = i + -549. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 0 - (13 - (-2 - -10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 37 = -25. Suppose 0 = 5*k - w - 97, -f*k = -0*k - 3*w - 51. Solve -b - 3*b = k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/24*-6)\/((-18)\/(-48)). Suppose -5*h + l = -70. What is the remainder when 61 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -920222 divided by -460111\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 23760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10192 and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2188.08621 rounded to one dp?\nAnswer: 2188.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p + 11*p. Suppose 3*y - 5*m - 15 = 8, p = -3*y + 4*m + 19. What is the lowest common multiple of 13 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*y = 960, 5*u - 5*y = 9*u - 3788. Calculate the greatest common factor of 3689 and u.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36\/5 in 1\/2, -3\/8, 4, -3, 103.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -5) + (-4 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3007*j**5 - 103*j**3 + 6*j**2 + 41492243*j?\nAnswer: -60140*j**3 - 618*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + i - 1. Let t be g(0). Suppose -5*l + 1 = -84. Let z(b) = 3 - 5*b**2 + l*b**2 - 2*b - 4 - 7*b**2. Determine z(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -49 (b) 3 (c) 139 (d) -93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*l + 50*l - 18 = 0. What is the smallest value in -248, -5, l?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = d, 0 = c - d - 8 + 2. Suppose -c = 2*v - 3. Suppose 0 = m + 4, -m = 2*t - 3 - 1. What is the lowest common multiple of t and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, e: 1, j: 1, x: 2, s: 1, o: 1}. What is prob of sequence esxx?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.07223051498 and 0.1.\nAnswer: 0.02776948502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5568*m**3 + 4*m**2 - 47 - 5574*m**3 + 26 - 55 as u*m**3 + w*m**2 + g + l*m and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20050 - 20045. Which is the smallest value? (a) w (b) 125 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4783409*d**2 + 29*d + 101909?\nAnswer: 9566818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 75 - 57. List the prime factors of f.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*q = 18 + 58 + 119. Solve 2\/7*l**q + 100\/7*l**2 + 0*l + 0 = 0.\nAnswer: -50, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 - 2\/4. Which is the biggest value? (a) 0.5 (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 9. Let u be x(8). Let t be (74\/75 + u)*3. Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 60*a**3 + a**2 - 1. Let m be p(1). Suppose -9*q = -4*q + m. Let o be (-33)\/q + 3\/12. Solve 0*s = -3*s - o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -15. Let d be (-464)\/(-20) - 1\/5. Let y be (-3 - -2) + 21\/d. What is the closest to -0.2 in x, -1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2187 + 2187 + 7*t**3.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 140803945?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -16*u - 16. Let f be v(-1). Solve 0*y = 2*m - 4*y + 24, f = -4*m + 3*y - 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 2:15 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-4 - -23) + (-166 - -166).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1104)\/(-1050180)*(-2 + 7 - (-1 + 1)). Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7828 = 5*r + 703. Let a be 4\/38 - 1005\/r. Let o = 0.14 + -0.1. Sort -0.4, a, o in increasing order.\nAnswer: a, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2 + sqrt(847) + 1 - sqrt(847)*-2*5))**2.\nAnswer: 1210*sqrt(7) + 102512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, s: 9}. Give prob of sequence hh.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 3\/2762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**4 + 40*n**3 = 0. Calculate n.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 43.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (3 - (-1 + 6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 103 + y - 107 + 0*y. Let a(r) = 2. Determine -9*a(c) - 4*n(c).\nAnswer: -4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -11*u + 2. Let y(d) = -9471*d**2 - 8*d. Calculate v(y(l)).\nAnswer: 104181*l**2 + 88*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11235277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, -2 in descending order.\nAnswer: -1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -421 - -420.5. Which is the nearest to -1\/4? (a) k (b) 1\/4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1065 = -5*m + 10. Let k = -50 - m. What is the highest common factor of 23 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**4\/3 - f**3\/6 + 35*f. Give v(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*v + 6*v - 7*v)*(1 + 3 + 2) + v - 2 + 2.\nAnswer: 61*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(43*j**3 + 29*j**3 - 23*j**3).\nAnswer: 98*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -55292 plus -0.438601?\nAnswer: -55292.438601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/2850 and -19\/155160?\nAnswer: 14740200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 86?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 543\/(-15) + 1\/5. Let d be ((-4)\/6)\/(8\/c). Suppose 2*m + 0 - 16 = s, 4*m - d*s = 32. Calculate the smallest common multiple of 6 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2. Let f(z) = -3 + 0 + 23*z + 3. Determine f(p(c)).\nAnswer: -46*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/396*2778\/(-8) + (-7)\/(-154).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.41, 7, -1\/3, 2, 6, -0.29.\nAnswer: -0.41, -1\/3, -0.29, 2, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k - 3. Let p = k - 2. Let j = -5.5 + 5. Put p, -3, j in increasing order.\nAnswer: -3, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w = 39. Let k be w + (1 + 2 - 0). Solve 2*t = 4*u + 21 - 1, t - k = 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -392b3 (base 15) to base 3\nAnswer: -100021211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 - 2*h - 3. Suppose -5*f = -89 + 24. Suppose -7*t - f = 1. Let j(m) = 21*m**2 + 10*m + 16. What is t*j(s) - 11*i(s)?\nAnswer: 2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1003597374 to the nearest integer?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 1 = -2*z - 11, 23 = 2*z - 3*k. Let f(n) = -5*n + 4 + 4 + z*n. Let x be f(6). Solve -x*j + 10 = 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 29 - 2 - (-50 - (6 + -12)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 38*q + 13*q - 188 = 0. Solve 0 = -v + w - 5, -q*w + 0 = 3*v - 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -7. Let d(b) = b**2 - 4*b + 3 + 5*b - b**3 + 4. What is the units digit of d(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000458706 to 5 dps.\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -17, 4801494 in descending order.\nAnswer: 4801494, -2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**3 - 113*s**2 + 29*s + 16. Let p be i(28). What is the highest common factor of 759 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, 133, 438, 763, 1114?\nAnswer: 1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 283689 from 10142.2.\nAnswer: -273546.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73 and 107504180?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 527, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-42))\/((-2466)\/(-21) + -15). Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-20)*17080\/(-7808)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -11*d**2 - 4*d - 20. Let n = 3524 - 3527. Let q(r) = -5*r**2 - 2*r - 10. Give n*f(v) + 7*q(v).\nAnswer: -2*v**2 - 2*v - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 197106 and 390.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*d = 161 - 546 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/10*(-46875)\/12500?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = -2*p - 5*i + 11, -4*i - 8 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 19806.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14456)\/(-169) - 1260\/819?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -49242 (base 15) to base 10\nAnswer: -233387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -w. Let z be (7\/(-2) - 0)*-2. Suppose -z = r + m - w, r + 3*m + 11 = 0. Let v(o) = -4*o. Determine v(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 16*o**2 + 16*o + 30. Determine w(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 225 + 245, 3*v - 14 = -2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 5*m**4\/24 + 5*m**3\/3 - 7*m**2. Does 10 divide h(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(72) - 1*sqrt(72)) + sqrt(72) - sqrt(72))\/(sqrt(384)*-1 + sqrt(384) + sqrt(384) + sqrt(384) - sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 5*c = -28, 0 = 20*k - 24*k + 4*c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1403574?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -17. Let d = 3 + v. Let b = 16 + d. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffpffpfffpf. What is prob of picking 3 f?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*u + 920 = 2345 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 69.3988 (c) -1\/2 (d) 3\/8 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11359*d**3*s**3*x + 502*d**2*s**3*x + 2*d**2*s**3 + 2*d**2*s*x + 4*d*s**3*x wrt d.\nAnswer: -68154*s**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -12*k - 42. Let w(l) = l**3 - 6*l**2 + 5*l - 3. Let c be w(2). Let z be u(c). Let p(d) = 63 - 129 - 3*d + z. Let o(y) = -4*y**2. Determine o(p(a)).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -28*f**3 + 1. What is the remainder when c(-1) is divided by 1 - 21\/(-2)*4\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -212 - -211. Let j = 0.01 - -0.39. What is the closest to l in j, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k*k\/k**(-20))\/k)\/k)\/k**(5\/6) assuming k is positive.\nAnswer: k**(121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1363811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*m + 116*m + 232*m + 16*m - 3060 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*-5*(-1*sqrt(72)*-3 - 6*(sqrt(72) + 0))*2)**2.\nAnswer: -9720000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*y, y = 4*z + 3*y + 10. Sort -2, 5, z in descending order.\nAnswer: 5, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2870960 or -2871025?\nAnswer: -2870960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from uxxrxhuxhxdxxrt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + -8)*-3*(-16)\/40. Let m(w) = -w**3 - 13*w**2 - 13*w - 9. Let b be m(v). Solve 0 = t - b + 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-16)\/10))\/(2\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 3)*(-5*k**4 + 2*k**4 + 6*k**4 + k**2 - 3).\nAnswer: 15*k**4 + 5*k**2 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p + 5*f + 6, -5*p + 2*f + 24 = 0. Let t be ((-4)\/(-6))\/((-2)\/(-150)). Suppose 3*i - t = 28. Solve m + 14 = -3*o, -i + p = 5*m - o for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tv when two letters picked without replacement from atv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61 and 133590?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.793? (a) -2 (b) -3 (c) -1\/8 (d) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 2:51 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1312*w**2 + 1312*w**2 + 333*w**3.\nAnswer: 333*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g - 6*g - 2*g + 13*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 19. Let r(j) = 2. Let h(w) = -w + 2. What is d*h(v) - 3*r(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-2.59.\nAnswer: -1.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjjhhjh. Give prob of picking 4 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -41054 (base 6) in base 7?\nAnswer: -21562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 - ((7 + 2 - -1) + -38)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2077020 and 39600?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2.58 (b) 1\/7 (c) -0.3 (d) -2\/7 (e) -2\/23 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -100508 + 0.187817\nAnswer: -100507.812183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255421802?\nAnswer: 2, 127710901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -360032*p**3 + 159492 wrt p.\nAnswer: -1080096*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 493, 635, 1277, 2749, 5381?\n\"Answer: 55*i**3 - 80*i**2 - 3*i + 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 9*o**2 + 6*o + 7. Let s be i(8). Let j = s - -11. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -103605, -102111, -100617?\n\"Answer: 1494*z - 105099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*p**3 - 12*p**4 + 7*p**3 - 4*p**5 - 5*p**3.\nAnswer: -4*p**3*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4949 by 6.\nAnswer: 4949\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20*-1715.7\nAnswer: -34314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 58?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-21))\/(6*1\/(-12)*-1)\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/((p*p\/p**(-7\/5)*p)\/p))\/p)\/p**(-2\/23)*(p**(1\/5))**39 assuming p is positive.\nAnswer: p**(631\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + 32 - -12) + -49?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/10410 and -68\/885?\nAnswer: 614190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6257 + 8093. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*o + 7*o**3 - 3*o**3 - 37*o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39975 + (2\/9)\/((-1470)\/135 - -11) a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -24. Let d = 14 + c. Differentiate -3 + 2 + d + 5*w + 1 wrt w.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3882105943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, -1.3, -120, 2\/49, 2.\nAnswer: -120, -1.3, 2\/49, 0.14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*s - 30 = -3*l, -2*s = 3*l - 5. Solve 0 = l*n + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - 7*f - 4. Let c(r) = -r**2 - r - 1. Let b be (-177)\/(-15) + (-1)\/(-5). Suppose y + 63 = b. Let m be (16\/6)\/((-34)\/y). What is m*c(p) - i(p)?\nAnswer: -2*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 - 18.98. Let k = 70 + -52. Let j = t + k. Put -0.1, j, 1 in decreasing order.\nAnswer: 1, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**4 + 2*c**3 - c - 1. Let p(o) = 6*o**4 + 9*o**3 - 45*o + 4. Let u(l) = -p(l) - 4*v(l). What is the second derivative of u(q) wrt q?\nAnswer: -24*q**2 - 102*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 + 48*i**3 + 4 - 26*i**3 - 28*i**3 + 17 in the form k*i**2 + q + f*i + d*i**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1580 and 3*906\/(-68256)*(-56)\/42?\nAnswer: 14220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n - 39. What is i(-15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1800 divided by -348858.\nAnswer: -100\/19381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = d - 16*a, 201*d + 1 = 71*d + 127*d + 2*a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0006165 and -0.7.\nAnswer: -0.7006165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 18*b - 48*b. Suppose 3*l = 3*a - 3, 2*a = a + b*l - 11. Solve 0 = 2*m - 2*h + 3*h, -2*m = a*h + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2\/63, 1 in ascending order.\nAnswer: -2\/63, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -88.1.\nAnswer: -84.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 328*z + 154*z - 158*z + 4968 + 3780 + 4*z**2.\nAnswer: 3*(z + 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/32)\/(6\/24)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52302 - 38638 = -20*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113\/((-32544)\/4512) - (-15 - -2).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 19. Suppose 0 = -0*u + 4*u + 52. Let k be r(u). What is the third derivative of -5*a**6 + 5*a**2 + 4*a**6 - 13*a**k wrt a?\nAnswer: -1680*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 1)*(-2*r**3 + 0*r**3 + 5*r**3) + 2*r**3 + r - r - 3*r + 3*r + r**3 + (-1 - 2 + 2)*(0*r**3 - r**3 + 0*r**3).\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -490, -3089, -7574, -13945, -22202, -32345, -44374?\n\"Answer: -943*a**2 + 230*a + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 2*c = -8, -66*b + 55*b + 5*c = 36 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85)\/(-17)*(-1)\/8*(-3)\/(-15)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875720 a multiple of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30800 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38.8238 - 39.19. What is n rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/9*9)\/2. Let l = 1.06 - 0.06. What is the closest to l in g, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1295 and -47\/15540.\nAnswer: 15540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + 0. Suppose j = 3*p - 0. Suppose -p*r + 70 = -0*m + 3*m, -2 = -2*r. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 380 and 2720.\nAnswer: 51680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqqqqquuu.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29.515 - 30.1. What is y rounded to 2 decimal places?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 6*i - 2. Let r be b(-6). Let p be 2\/4 - (-1)\/r. What is the third derivative of p*x**2 + x**2 + 3*x**2 - 2*x**4 - x**2 wrt x?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4635614.\nAnswer: 2, 2317807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - 2*p - 13. Determine q(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1678 a factor of 3071357504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*11\/99*(24\/(-4))\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*(sqrt(2) + sqrt(32)).\nAnswer: -5 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 - d**4 - 3*d**4)*(-3 + 1 + 1)*(-1 - 1 + 0).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.774 - 986103.41?\nAnswer: -986132.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 28*h**2 + 5*h + 13. Let p be o(-5). Let x = 686 - p. Let w(m) = -m**3 + m**2 + 2*m + 1. Determine w(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -560*v**3 - 8*v - 6 wrt v.\nAnswer: -3360*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 11*i**3 + 7*i + 3. Let f(y) = -9*y**3 - 6*y - 4. Calculate 7*f(v) + 6*m(v).\nAnswer: 3*v**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/9*j**2 - 2\/3*j + 0 - 2*j**4 + 2*j**3 + 4\/9*j**5 = 0. What is j?\nAnswer: -1\/2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1635466 + -332?\nAnswer: 1635134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -16151\nAnswer: 5\/16151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (280\/245 + 5\/(-35))*(-16)\/(-1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -454236 and 7.\nAnswer: -3179652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -163 + 167. Sort 3, 1, -4, -27, v.\nAnswer: -27, -4, 1, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 33. Suppose d = 2*d - w. Suppose -5*c = q - 29, -2 + 23 = 4*q + c. What is the highest common divisor of d and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -200*j*n**4 - 3*j + n + 76 with respect to n.\nAnswer: -800*j*n**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -106062*t. Let h(v) = 19*v + 2. Determine c(h(x)).\nAnswer: -2015178*x - 212124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 120029267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 455 or 457?\nAnswer: 457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 10. Suppose -5*b = -v + 14, -v + 5*b = v - 13. Let z = -1 - v. Solve z = k*g - 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 7 = -2*l + 2*h, 1 = -4*l + 5*h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -17. Calculate the highest common divisor of x and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1718.\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 7*m + 10. Let h be v(5). Suppose 4*r - 418 - 30 = h. Let a = r + -60. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35856 and 951696?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1421057828*-0.5\nAnswer: -0.0710528914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3*3*1 - -73. Suppose -f + 296 = k. Is 32 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22732 - -22743. Solve 165 = -u*f + 77 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05662 - -0.054. What is n rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 45*u**3 + u**2\/2 + 2*u. Is h(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -31*q**2 - 134*q - 6. What is s(-4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -6*g + l + 261, 0 = 4*l + 20. Suppose 4*c + 4*v = g, v + 5 = 2*v. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 3*z + 15, -5*g = -0*g + 2*z + 18. Suppose 2 - 15 = 13*o. Let i be (4\/(-5) - -2)\/(o\/5). Put g, i, -3 in ascending order.\nAnswer: i, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 37010?\nAnswer: 37015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = r - 0. Let d be ((-15)\/(-40)*r)\/(-3). Let z = 0.3 - -0.1. What is the nearest to d in 2\/9, z, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.71375us in minutes?\nAnswer: 0.0000020285625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -787 = -2*j - 9*t + 12*t, 812 = 2*j + 2*t. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254, -250, -236, -206, -154, -74, 40?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22155a7 (base 11) to base 13.\nAnswer: -a61458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1\/10, -600920, 1\/3?\nAnswer: -600920","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 14 = -4*r, r - u = 2*u - 7. Let c = 2 - r. Solve -5*b - 10 = -c*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*2\/14*(-112)\/32?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 285 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 43 = d, -2*d + 34 = -3*x - 65. Suppose 6*w - d = 2*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -0.09 (c) 0 (d) 58\/7 (e) 32 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 1. Let d(i) = -2*i - 1. Suppose 4*v + 5 = l, -2*l + 4*v = -3*l + 5. Suppose -4*z = l*n + 18, n - 2*n - 12 = 5*z. Give n*d(h) + 3*r(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2810718247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l + 16*l = k - 210, -5*k = -4*l + 42 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 + 10*z**2 + 11*z - 18. Calculate l(-8).\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119517*f**2*h**3*y**3 + 2*f**2*h**2*y**2 - 33*f**2*y**2 + 8*h**3 - 5*h wrt y.\nAnswer: -717102*f**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*k = 109*k - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -224 + -46975651061.\nAnswer: -46975651285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 319430998.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 + y**3 + 4*y**3 - y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) 0 (c) 389.7 (d) -2 (e) 0.09 (f) -0.2 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1000001110011101001100 (base 2) to base 7\nAnswer: -24220530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/44 and 133\/312.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(z**1*z))\/z)\/z)**20 assuming z is positive.\nAnswer: z**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 987.6751 weeks to milliseconds.\nAnswer: 597345900480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -31.9. Which is the closest to -0.1? (a) s (b) -5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d + 158 = -98 + 176 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2533993 by 7.\nAnswer: 361999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 15, r + 43 = 3*g + 27 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 70 = 2*s, 2*t + 0*t + 4*s - 80 = 0. What is the remainder when t is divided by 1*18 - (-6 + 8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3312833 - 3368291 = -702*m for m.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172849, 172848, 172847?\nAnswer: 172846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2914476 or 1?\nAnswer: -1\/2914476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n + 12. Let c be x(5). Solve -c = -4*l + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/14*-5*(-3)\/15.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -841675*r - 250. Let c be s(10). What is c rounded to the nearest 100000?\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8177521979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 692 and 492.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 3:16 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1296*r**3 - r**2 - 2*r - 1. Let t be b(-1). Suppose -90*l - 46128 + 27991 = 42703. Let y = l + t. What is y rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 20, 3*j - 4 = -3*i + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -408, -847, -1284, -1719, -2152?\nAnswer: -2583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*-4*12\/(-160))\/(1\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddedddrrddrddd. Give prob of picking 1 d and 1 e.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + 8 - (4 - 5). Suppose 0 = -v*f + 34 + 46. Is ((-8)\/f)\/(3\/(-1110)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2\/(-18))*(-165)\/(-6435)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/216 and -39\/76912.\nAnswer: 2076624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - 8*s**2 + 3*s - 1. Let t(i) = -3*i**3 - 15*i**2 + 7*i - 1. Let g(n) = -5*q(n) + 3*t(n). Let p be g(2). Solve x - 2\/3 - 1\/3*x**p = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 1863 - 10590 = 0. Let i = -1167 - p. Does 36 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3421915753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 805*u + 21 = -810*u, k = 4*u + 6 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 200 + -200.0639. Round z to three decimal places.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110 (base 2) to base 6.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 3*b + 106. Let a = -24 - b. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1343*j = -77*j - 12744 + 53256 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64991902\/561 + 115850. What is the common denominator of l and -49\/264?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -302086 + 100594775\/333. Let z = o - 7\/37. Which is smaller: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122860292, 122860280, 122860254, 122860208, 122860136?\nAnswer: 122860032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {i: 1, c: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -46 + 26 + (-1 - 16).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 4:03 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**4\/6 + u**3\/2 + u**2 + 6*u. Let s(x) = 5*x - 3. Determine 2*s(f) + 3*v(f).\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -615*v - 6146. Determine l(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1046937, -2093868, -3140799?\nAnswer: -4187730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 171906583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -10 - 18 - 2) + -1 + -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(9\/2))\/((r\/(r**13\/r))\/r) assuming r is positive.\nAnswer: r**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -498927, -498881, -498823, -498747, -498647, -498517, -498351, -498143?\n\"Answer: o**3 + 39*o - 498967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/7 - (47 + 0). Let n = s - -117. Let k = 112 - n. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*m**3 - 138888*m**2 + 26*m + 328398841.\nAnswer: 21*m**2 - 277776*m + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 + 42*k**2 + 29*k + 41. Suppose 0 = 19*g - 12*g + 140. What is the units digit of i(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -44. What is the second smallest value in x, 0.07, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25284 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/(-10*(-21 - 119)) and -43\/3000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gowwzwh. Give prob of picking 1 h and 3 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + -1*sqrt(156)*3 + sqrt(156))\/(sqrt(192)*-1))**2*2 + 3 + 4.\nAnswer: 69\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 481 from 332895.\nAnswer: 332414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2727 and 2518233?\nAnswer: 22664097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*p + g, g = -p - 3*g + 15. Let w = -14 + 24. Suppose 4*n + 3*d = -7, p*d = 2*n - 9 - w. Solve -4 = -2*s - 4*h, -4*h - 2 = -n*h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 11:31 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14334 - -14389. Let g = -18 - -9. Let y = g - -20. Calculate the greatest common factor of y and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385*d + 995 = 390*d. Let t = d - 91. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6536170?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -71*v + 18. Let t be o(-5). Suppose t = 9*y + 94. Suppose -r - 2*c + 3 = 0, -30 = -4*r - 4*c + 2*c. Calculate the remainder when y is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3*48\/36)\/((-2)\/341). What is the third derivative of -r*n**6 - 101*n**2 + 14*n**2 + 695*n**6 wrt n?\nAnswer: 1560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43984*f**4 + 6*f**2 - 96.\nAnswer: 1055616*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**4\/2 + n**3\/2 - n**2\/2 - 10. Let o(u) be the second derivative of z(u). What is the tens digit of o(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - w - 2*w + 12 = 0, 5*c = w - 4. Let d(h) = -7*h**2 + 2*h**2 - h**2 + c*h**2. Let i(t) = -t**2. What is d(i(r))?\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-10) + ((-2376)\/45)\/12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 3:38 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/10, 1\/2, 2\/789?\nAnswer: 2\/789","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32417918.415 minus 0.004?\nAnswer: -32417918.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -0*c - 10*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -163 - -163.1. What is the third smallest value in 3\/7, 0, x, 1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a gram in milligrams?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7*l + 5*l + 0*l + 4*l**2 - 2*l**3 + 6 + l**3. Let r(o) = o**2 - 7*o + 8. Let b be r(6). Let w be 6*(b\/3)\/1. Determine t(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 5*i**2 - 7*i + 1. Give m(5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = i - 20. Suppose 7*q - 3*q = -i*j + 1912, -2*j = q - 958. Suppose -22*o + 26*o = j. Calculate the greatest common divisor of 48 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 317*s**5 + 925*s**3\/3 + 418. Find the third derivative of o(w) wrt w.\nAnswer: 38040*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a - 23. Let c be n(-5). Find the second derivative of -9 - 9*j + 3*j + 27 + 3*j**c + 5*j - 4*j**5 wrt j.\nAnswer: -80*j**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 802 + -782. What is the lowest common multiple of 25 and f?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 + 3. Let y(r) = -1. Suppose f = -5*s, 0 + 7 = 2*s - f. Let g(v) = s*t(v) + 3*y(v). Let q(n) = -4 - 2*n**2 + 4. Give g(q(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.29 smaller than 2\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 1. Let t be n*(0\/(-2) - -1). What is the least common multiple of 4 and (1 + t)*(-4)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 - -93. Let f be 0 - 1*h\/(-6 - -4). Let u be (-55199988)\/(-48) - f\/(-4). Round u to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 3) + -6 - 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/653979 + -112485298\/297560445. Let p = b + 6\/65. Let r = -5 + -2. What is the second smallest value in r, -0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 1. Let u(p) = -44*p**2 - 4*p - 2. Give -u(c) + 3*y(c).\nAnswer: 44*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 6*f**2 + 2. Let d be k(-6). Let r be 12\/10*95\/38. Suppose -5*z = r*x - 66, 5*x + 4*z - 80 = x. Solve 4*g = 3*u + 13, -d = -5*u - x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 13. Let h = -6 - a. Let y = -1 - -1.2. Sort y, 2, h in decreasing order.\nAnswer: 2, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*h + 139*h = 0, 4*h = -5*d + 15. Let -1 + z**2 - 1\/3*z**d + 1\/3*z = 0. Calculate z.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 10*t**2. Let k(w) be the first derivative of -w**5\/60 + 7*w**3\/3 - 1. Let f(r) be the third derivative of k(r). Give q(f(m)).\nAnswer: 40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -97862, -2, -374, -5 in ascending order.\nAnswer: -97862, -374, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 2 - (-4 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**4\/4 - 3*o**3 - 3*o**2 - 7*o + 13. Let k be (-2)\/(-4) - 133\/(-14). What are the prime factors of d(k)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7073.7 rounded to the nearest one hundred?\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5401475731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/((-15)\/(-1200)*-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*g - 1)*(1 - 4 + 1) + (-2 - 2 + 1)*(-3*g + g - 3*g).\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17737 + (-24)\/(-30)*90\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 4:47 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 3*r - 9, -3*a + 12 = 3*r + 3. Suppose 2*w + 2*w = a. Suppose 2*x - 2*v + 4*v - 28 = w, -x + v = -8. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 2*h + 90. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-63)\/(-12) + (-3)\/12. Let u(r) = -5*r + r + r - b. What is the least common multiple of u(-4) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1 + -7 + (-9 - -4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - -23. Let z(r) = 819*r - 20450. Calculate the least common multiple of z(25) and i.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -37, 0.2, -4\/7?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 426 divide 15591280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*j - 24. Suppose 3*f = 7*f - j. Suppose -7*d = -5*z - 2*d + 20, -2 = -f*z - d. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/8, -2\/25, -5, -2.8?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -232, -246, -270, -304, -348, -402, -466?\n\"Answer: -5*v**2 + v - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**4 + 1 - 7*n**4 + n + 7*n**4 - 6*n - 35*n**2 to the form h*n + p*n**4 + m*n**2 + w*n**3 + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 985 = -4*f, 6*q + 495 = -2*f + 3*q. Let z(g) = -g**3 - 22*g**2 - 21*g - 7. Let x be z(-21). What are the prime factors of f\/x - 16\/56?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220307411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from krbrkkrkrkb?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + 0 + sqrt(3))*6)**2 - (1*sqrt(2400) - sqrt(2400))\/(sqrt(128)*2).\nAnswer: -9000*sqrt(3) + 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 25 = 5*k, -3*b = -k - k - 13. Solve -8 = 4*l, -i + 5*i + b*l = -18 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -120080.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a centimeter in millimeters?\nAnswer: 146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/(-36) - (-1 - 4))*42\/7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 31*l**2 + 30*l + 16. Let n be 22\/6 + (-8)\/12. Suppose n*p = 2 + 22. Calculate the lowest common multiple of p and d(30).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23 and -0.119?\nAnswer: 2.737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2)\/(b*b**(2\/5)))**(-32)\/(((b**6*b)\/(b*b**7))\/(b**(-1)\/(b**(2\/9)*b))) assuming b is positive.\nAnswer: b**(1241\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1132*-0.57\nAnswer: -645.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddooooooodododdd. Give prob of picking 2 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x**4 + 6*x**2 - 13*x + 256. Let v(o) = -6*o**4 + 8*o**2 - 12*o + 256. Let m(y) = -4*b(y) + 3*v(y). What is the first derivative of m(l) wrt l?\nAnswer: 8*l**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 7) + (0 - -1) + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*o - 1177 - 3359. Solve m - 21 = 5*w, o - 64 = w + 3*m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -8*l**2 + 1. Let o be 2\/(-7) - 183\/21. Let w = 6 - 7. Let v be (-65)\/(-30) - w\/(-6). Let g(n) = -2*n**2. Give o*g(j) + v*i(j).\nAnswer: 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59721 and 67918.\nAnswer: 3463818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -42 + 12. Let c be (-14)\/35 + 183577184\/n. Suppose -2*o - c = 4642282. What is o rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/9 - 8317166\/(-1287)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-278)\/(-17) - (-1398)\/(-3961). Suppose 0*c - 24 = -c. What is the highest common factor of c and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397864 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -5*n**3\/3 - 5*n**2 + 5*n. Let y be r(-9). Suppose -v = -3*i + y, 4*i - v - 3*v - 120 = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.589264 centimeters to nanometers.\nAnswer: 45892640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -231 + 232. Which is the biggest value? (a) 2\/3 (b) 0.4 (c) p (d) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*k = 124, 0 = -2*u + 5*k - k - 70. What is the units digit of (-2)\/6 - 3384\/u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 10 = 2*s - 15, -d + 5 = -3*s. Let k be (s + (0 - -1))\/(-1). Let w = k - -4. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8*d - 12. Let h(w) = 10*w + 14. Let j(k) = -6*h(k) - 7*n(k). Let v(g) = 48*g**2 - 2. What is v(j(a))?\nAnswer: 768*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*x + 38*x - 5*p + 36, -12 = -3*p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, x: 3, m: 1, r: 2, k: 1}. What is prob of picking 2 r, 1 m, and 1 x?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*v**4 - 3*v**2 - 21*v**4 + 6*v**4 wrt v?\nAnswer: -216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - b**2 - 3*b - 2. Let n be q(-2). Let r be (-3)\/(-4)*n\/2. Suppose r*y = 76 + 26. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/5, 0, 4, -56, -439, -2\/39?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13110221 - -10202?\nAnswer: -13100013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4*t*(t**(1\/6)\/t)\/t*t\/t**(3\/2)*t*t*t\/((t**(-2)\/t)\/t))\/((t**1\/t)**(-1\/35)*((t*t**(-1\/5))\/t)\/(t**4\/t*t)) assuming t is positive.\nAnswer: t**(208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11426847 = 118*a - 2624239. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -10. Let n(k) = 13. Let f(v) = -3*n(v) - 4*r(v). Let z(p) = -3*p**2 + 45*p - 48. Let q(j) = -6*f(j) - z(j). Suppose q(i) = 0. What is i?\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468748 (base 15) in base 6?\nAnswer: 200121205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-400)\/(-60))\/(-2*(-1)\/(-190590)). What is g rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 367836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + 4 - (5 + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssc when four letters picked without replacement from ssccscscccccs.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599 is divided by 100.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -11*q + 1. Suppose q = -2*g + 4*g - 5*l - 128, -2*g - l = -116. Suppose -g = 4*b - 211. Calculate the greatest common divisor of 38 and b.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4646 - -4633. Let t(f) = -2*f**3 - 23*f**2 + 40*f + 11. What is t(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10065 + -10065. Solve k = 5*v + 2*l - 1, 14*l = 5*v + 15*l + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/5 + 44*o**3\/5 - 152*o**2\/5 + 144*o\/5.\nAnswer: -2*o*(o - 18)*(o - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010000011111 - -111011111111?\nAnswer: -11010100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-1 + sqrt(637) + 5) + -4)*-4)**2.\nAnswer: 5376*sqrt(13) + 92752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -15) + -58 + (-28 - -60).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a factor of 1151266136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2417563 or -100?\nAnswer: -2417563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + -3 - (3 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8535 is divided by 4158.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65641 + -33300. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111021221 (base 3) to base 4\nAnswer: -2113123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -201304234 (base 6) to base 7\nAnswer: -41104336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1188 and 83\/270.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 13 + 26 + 22 + 339831*r**2 - 339829*r**2 + 3.\nAnswer: 2*r**2 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d + 21*d = -102. What is the greatest common divisor of 136 and d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/11)\/((n*n**(-4\/21)\/n)\/n) assuming n is positive.\nAnswer: n**(296\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**4\/24 + 29*w**3\/6 + 28*w**2 - 1. Let m be j(15). Solve -3*x - m + 2 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = 230*h - 216*h. Solve -8*u - h - 15 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 8*s**3 + 30*s**2 + 7*s + 4. Let p(f) = -3*f**3 - 6*f**2 - 2*f. Calculate a(b) + 5*p(b).\nAnswer: -7*b**3 - 3*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from waaaaffaaawawawf.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*i - 46 - 3618 - 752 = 0 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 - 1)*(4*f - 2*f + f) - f + 7 - 1 - 4)*(15*f**2 - 15*f**2 + f**4).\nAnswer: 5*f**5 + 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -s + 17*s. Which is greater: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196515?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3)**(-25)*(d**2)**(-1\/27) assuming d is positive.\nAnswer: d**(-2027\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1129, 2264, 3399, 4534?\n\"Answer: 1135*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**28)\/y**(-24))\/(((y\/(y*(y*y**6*y)\/y))\/y*y)\/y**21) assuming y is positive.\nAnswer: y**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2812 - 2812 - 2*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 6*c + 9, -81 + 74 = -2*c + b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7910 + -5048. Is 54 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -153, 2, -1 in decreasing order.\nAnswer: 2, -1, -2, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p*p**(-6)))\/p)\/p**(1\/12))\/(p**(1\/2)*p)**(-14) assuming p is positive.\nAnswer: p**(323\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972292 is divided by 7252.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 0.031073776?\nAnswer: -5.031073776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -28\/9, 0.053, -3042?\nAnswer: -3042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1879*h**4 + 993*h**2 wrt h?\nAnswer: 45096*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*p**3 + 6*p**3 + 2666*p - 2619*p)*(-4*p + p + 4*p - 1 + 2*p + 1 + (2 - 2 + 4*p)*(3 - 2 - 2) - 2*p + 4*p - 3*p).\nAnswer: 16*p**4 - 94*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllpplpppippplpllp. What is prob of sequence ip?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -626 and -238.56?\nAnswer: 387.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19 - -37) + 0\/(-7). Solve w*r = 20*r + 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2 + 6*(0 + sqrt(162)) + -2)*-2.\nAnswer: -108*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*h - 646 = -414 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3284, 6573, 9866, 13163?\n\"Answer: 2*m**2 + 3283*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19440 + 27*s + 19443 + 48*s)*(9*s - 6*s + 11*s).\nAnswer: 1050*s**2 + 42*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31504 - 31503.5. Let i = -0.6 - 2. What is the closest to -0.1 in i, 1\/7, f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + z + 5. Let r be g(-5). Let b = -23 - r. Factor -12*q**3 + 6*q**b + 5*q - 2*q**4 + 10*q - 10*q**4 + 6 - 6*q**5 + 3*q**5.\nAnswer: -3*(q - 1)*(q + 1)**3*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/5 - 6\/(-40). Let x = -0.024 - -0.024. Which is the nearest to l? (a) x (b) 0.4 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 5*z**2 + z - 3. Let i be k(5). Suppose -w = d + 3*w - 2, d + 2*w = i. Solve m - 10 = 3*m + d*j, -10 = 2*m - j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-5 + 8\/(-8))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2 + 97062*k + 8332540 = 0. What is k?\nAnswer: -48445, -86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2 - 28*t + 11. Let g be f(-9). Calculate the highest common factor of g and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 5*v = -98, 3*w = -52*v + 50*v + 59 - 154 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6152 = 11*z - 15*z. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -21. Let i be 2 + 15\/h*2. Put i, 5, 2 in descending order.\nAnswer: 5, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -5 + -5 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 63 + (8 + -14 - -21 - -2) + -18.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11 + 11*q + 7*q - 18*q + 2*q**2 wrt q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 - 14 + 0)*(176 + t - 180 - 3*t) as p*t + q and give q.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0745 and 171888.\nAnswer: -12805.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -166.1 + 166. Let q = -1 - -1. Let j = -63 - -253\/4. What is the closest to n in 0.4, j, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 3\/187658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 12. Let a be (-104)\/(-10) - ((-30)\/(-25))\/(-2). What is t(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -33, -4\/13, 0.1, -5, 1\/126, -3?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -8 - (-42 + 46)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 25155900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**3\/15 + 1628*v**2\/5 + 993894*v\/5 = 0.\nAnswer: -1221, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117936 by 9.\nAnswer: 13104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27760)\/(-9716))\/(4\/(-35))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 978432 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rurvrrurrvvurrruv. What is prob of picking 2 v and 1 u?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 21*p**3 - 6*p**2 + 9*p - 1. Let s = -97 - -103. Is f(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 divided by 130.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, q: 3}. What is prob of picking 4 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvdvdxd. What is prob of sequence xd?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 99*s**2 + 65*s**2 - s.\nAnswer: -34*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407425098.\nAnswer: 2, 3, 53, 1281211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-1)*(2310\/(-56))\/(90\/40)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -8*d - 18. Let q(l) = -3376602*l + 3376602*l - l**2. What is r(q(m))?\nAnswer: 8*m**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 561283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.7 (b) -4 (c) -7 (d) -3 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -2423\nAnswer: -5\/2423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 22*y. Let x(w) = -11*w. Let j(l) = 3*m(l) + 7*x(l). Give j(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.61 and 1067.6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*s**4 + 28*s**3 - s**2 + 76*s**3 + 10*s**4 in the form h*s**2 + p*s**4 + q + a*s**3 + n*s and give a.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 25cc6 (base 15) to base 5\nAnswer: 12333021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75*k**4 - 258*k**3 + 25379*k**2.\nAnswer: -1800*k - 1548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 32898.2 and -370 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 3 (c) 18821\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/8065099 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 630 and 144?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w + 51. Calculate i(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12288 + 12291. Solve 5*i - 85*w - 15 = -90*w, -3*w = -p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 27*g**3 - 10*g**2 - 5*g - 6. Let n(p) = 13*p**3 - 4*p**2 - 2*p - 3. Let l(z) = 2*c(z) - 5*n(z). Let w(a) = -232*a**3 + 64. Give 64*l(t) - 3*w(t).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 2\/3*h**2 - 22*h - 5\/18*h**3 - 2 + 1\/36*h**4. Factor o(g).\nAnswer: (g - 4)*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 393084800 to the nearest one million.\nAnswer: 393000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7*21\/(-5)*(-35805)\/3906?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8740 divided by 46?\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 - 7. Suppose -k = -b + 2*q, -3*b - 23*q + 21*q = -128. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k**2 - 30*k + 3. Calculate p(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*r. Suppose r = -4*j - j + 10. Solve j*f + f - 6 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26196 = 4*h - 4*s, -3*s + 0*s = 2*h - 13088. What is the thousands digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*v - 245*v - 242*v - 245*v - 242*v - 39 + 1204*v.\nAnswer: -2*v - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 10 = 2*v, -4*v + 12 = -2*r - 8. Let g(j) be the third derivative of 0*j + 0 - 3\/10*j**v - 16\/75*j**5 - 2\/5*j**4 + 7*j**2. Factor g(c).\nAnswer: -(8*c + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + 7. Solve 3*f - i + 13 + 3 = 0, -4*f - q = -2*i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 + 208\/3. Let w be 18\/21*(-49)\/112. What is the nearest to -2 in 0.3, z, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 172*o**2 - 1402*o - 1232.\nAnswer: -2*(o + 1)*(o + 8)*(o + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5 (b) 1 (c) -4\/9 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*o + 36 = 0, v + 2*o = -0*v + 45. Let x = -34 + v. Which is smaller: 18 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3360 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 5:31 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*p + 20 = -76*p. Let i = 0.6 + -0.7. What is the second smallest value in 2\/7, i, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4 - 6*i + 6 + 20*i**3 + 2*i**2 - 2. Let n be v(3). Suppose 0 = 3*j - 4*a - n, -3*j - 3*a + 555 = -2*a. List the prime factors of j.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -46*b - 5. Let d(m) = 96*m + 8. Calculate -2*d(w) - 5*y(w).\nAnswer: 38*w + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*s = 400 + 293 + 825 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3760177 rounded to 1 dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1532, -1530, -1528, -1526, -1524, -1522?\nAnswer: -1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14349808 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*u - 9*u - 822 + 330 - 7*u - 1629 as b*u + x and give x.\nAnswer: -2121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(208) + 4))**2.\nAnswer: 1152*sqrt(13) + 8064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17554154383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43581563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 12:02 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -24*q**2. Let o(n) = 2*n**2 - 724659*n - 2. What is o(b(r))?\nAnswer: 1152*r**4 + 17391816*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/422 and 75\/572.\nAnswer: 120692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -67584? (a) -2\/9 (b) 4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpke when four letters picked without replacement from kkeeqzqqpqkzzkkkq?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 47519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -466*y + 7. Give b(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21936679 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8927 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - -16. Suppose 6*r - r = 90. Calculate the remainder when p is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 8*n - 2 + 1 + 2.\nAnswer: -8*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*p - 20*p = 255. Solve 6*n - 5*d = 8*n + 11, 3*n - p = 3*d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 5*z**2 - z - 6. Let h be u(-5). Is 3 a factor of 80\/6 - h\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 4, 177.231, -3?\nAnswer: 177.231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z. Let v = -9 + 5. Let h be v\/8*1*-4. Let n(u) = -8*u**2 + 9 + h*u**2 - 9. Calculate r(n(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10328899 is divided by 251?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**6\/h)\/h*h*h*h)*h)**30*(h**(-20)\/h)\/h*h\/(h\/(h*h**13*h)))**(-16) assuming h is positive.\nAnswer: h**2512","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 5267.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*k + 17*k**3 - 31*k**2 - 30*k**3 + 15*k**3)*(-2*k**2 + 3*k**2 - 2*k**2).\nAnswer: -2*k**5 + 31*k**4 + 19*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 - 159*i**2 - 73*i + 478. What is t(-79)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 11*t**2 + 13*t + 19. Determine b(10).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**4\/4 - 319*n**3\/3 - 5*n**2\/2 - 95*n - 2331. Find the second derivative of u(a) wrt a.\nAnswer: -6*a - 638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 - 4*w**2 + w**2)*(0*w + 5*w - 4*w) + w - w + w**3 + (14*w - 30*w + 19*w)*(-4*w + 4*w + w**2 + (-3*w - w + 6*w)*(w - 4*w + 4*w) - w**2 - w + w).\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*g**2*w**4 - 4*g**2 + 5346464*w**4 + 10254854*w**2 wrt w.\nAnswer: -192*g**2*w + 128315136*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -183253875 by 75.\nAnswer: -2443385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 354*l**4 + 242*l wrt l?\nAnswer: 4248*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35.56 + 33.56. Let w = 3 + -2.96. What is the biggest value in -0.1, w, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -5)*(-3)\/(-6). Suppose 0 = 4*u - 2*u + 4*z + 20, 2*z + 18 = -5*u. Let c be (-2)\/4 - (-3)\/u. Sort c, 0, d.\nAnswer: c, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**3\/5 - 6*k**2\/5 - 48*k\/5 - 56\/5 = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 95529 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 4. Let w be (6\/4)\/(15\/20). Solve -w*v + 10 = b*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 981.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23686 at most 23681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25262 or 958?\nAnswer: 25262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7*i**2 - 2*i - 2. Let z(j) = -j**2 + j + 1. Let c(a) = -x(a) - 2*z(a). Let b(d) be the first derivative of -14*d**2 + d + 100437. What is c(b(k))?\nAnswer: -3920*k**2 + 280*k - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 26826436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 - -2. Let j = 0.4 - m. Let t = -3.4 - 0.6. Which is the closest to 2? (a) j (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (7 + -8 + 5). Let g be -3 + (9 + -17)\/h. Solve 0 = 6*v - g - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 10*s - 8. Let x be f(1). Let o(w) = -w**2 - w. Let u be o(-1). Solve u = z - x*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**4\/4 - 2*i**3 + 5*i**2\/2 + 4*i + 11. Let k be t(5). What is the highest common factor of 44 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = 0, -3*y - y = 5*c - 438. Let k be 1\/(183\/c - 2). Calculate the highest common divisor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**6\/720 - 11*l**4\/24 + 6*l**2. Let i(u) be the second derivative of d(u). Let y(z) = 7*z**2. Determine i(y(v)).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t - 48 + 27 + 99)*(0 + 11 - 2 - t - 3*t**2) to the form m*t**3 + f*t**2 + w + q*t and give f.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -810, -809, -808?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 124786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 6. Let f be b(4). Let r(g) = 7*g**2 - g**2 - g - 5*g**f. Let n(d) = -5*d**2 + 4*d - 1. Determine n(m) + 4*r(m).\nAnswer: -m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 1, 3, 43 in descending order.\nAnswer: 43, 3, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/1)\/(-6) + 84\/(-36). Let k(j) = 2*j**2 + 4*j + 2. Give k(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13*1\/(-6))\/(26*38\/(-8892))?\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 2)\/2 + 0. Let g = 31 - l. Suppose -2*i + 95 = g. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7533110.\nAnswer: 2, 5, 13, 57947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - 5*-2*sqrt(325) - sqrt(325))*-1*-6*5*2)**2.\nAnswer: 117000000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 - 13*a + 8. Does 9 divide u(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513 is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/100 and 48\/25?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*b - 20*b + 3563 + 830 = -6002 for b.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (18 + -8)) + (0 - 17) + (706 - 792)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653258 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**2 + 4*m. Let c be l(-3). Suppose -5*j + 3*j = -66. Suppose -j = -4*r + 11. Calculate the highest common divisor of c and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 9*h - 8 = -7*d, -5*d + 4*h - 2 + 6 = 6*h - 0*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 - -124\nAnswer: 125.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 41515 divided by -41515?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*h + 5, 3*a + 13 = -2*h - 3*h. What is the hundreds digit of 420 + a*(-5 + 11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4781947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182260?\nAnswer: 2, 5, 13, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 8:52 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - 8*g**2 + g + 2*g**2 - g - 4*g**2 - g**2 + 4*g**2 + (0 - 2*g**2 + 0)*(-3 - 2 + 6) - 5 + 5 - g**2 - 4 + 4 - 2*g**2.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -26306.674224 to one decimal place.\nAnswer: -26306.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/92925 and -104\/105.\nAnswer: 92925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1044, 4320, 9794, 17478, 27384, 39524, 53910?\nAnswer: 70554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 105 = 35 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0359*0.134492.\nAnswer: 0.0048282628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/13350825 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 a factor of 1044750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 2205?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19253640.\nAnswer: 2, 3, 5, 7, 22921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2.3794, -0.1, 0, -22, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.62 in 5, -3, 2\/17, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -276139, -275869, -275599, -275329, -275059, -274789?\n\"Answer: 270*i - 276409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -16*y. Let t(c) = -133*c - 117*c + 361*c - 137*c. Give w(t(j)).\nAnswer: 416*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**2 + 618284*i - 95568776164 = 0.\nAnswer: 309142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + -4b345?\nAnswer: -4b335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14000397 to the nearest integer?\nAnswer: 3742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 7 (b) 0.138 (c) 5 (d) 0.4 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 182.6 times -0.06?\nAnswer: -10.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 654 - 658. Let q = -0.17 + 3.17. Which is the smallest value? (a) q (b) 7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -450, -1069, -1940, -3063?\nAnswer: -4438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200\/19*j + 0 - 398\/19*j**2 + 2\/19*j**4 + 196\/19*j**3 = 0.\nAnswer: -100, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**5 - 12*z**4 - 29*z**3 + 12*z**2 + 28*z = 0.\nAnswer: -2, -1, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -4*i + 6*i + 3 - 135, -4*t = 4*i + 43*i - 222 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n - 975*n**3 + n + 802*n**3 + 2*n + 482*n**3 to the form u + y*n**3 + v*n**2 + d*n and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.288 - -0.012. Which is the second smallest value? (a) t (b) 2 (c) -4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2) + -2)\/((-97)\/1358) - 10\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) 0.2 (b) 4 (c) -1 (d) 0.431\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -15*n**3 - 1645*n**2 + 2*n. Let z(o) = 50*o**3 + 4930*o**2 - 7*o. Give 7*x(i) + 2*z(i).\nAnswer: -5*i**3 - 1655*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 394 - 390.5. Let i = d + -4.5. Which is the nearest to 82? (a) 0.5 (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*z + 20987 = 28303 for z.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.071 - 6.671. Let i = 5 + o. Let b = i + 0.6. What is the smallest value in -2\/17, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**5\/60 - s**4\/8 + s**3\/2 - 2*s**2. Let j be f(4). Let d(o) = o**2 - 2*o - 5. Is d(j) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhnu when four letters picked without replacement from lhhhhkhhhnruhnrun?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*i**4\/9 + 1232*i**3\/9 + 992*i**2\/9.\nAnswer: -2*i**2*(i - 124)*(5*i + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/61159 and 23\/80930831?\nAnswer: 566515817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from weeewewwwwwe?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20780162 is divided by 112?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 0.8. What is the second smallest value in -6\/7, h, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/5)\/k)\/k)**(1\/18)\/(((k*k\/k**4*k)\/k)\/(k\/(k\/k**(-1\/4)))) assuming k is positive.\nAnswer: k**(299\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 2. Let z be d(0). Suppose -5*p + 20 = 5. Calculate the remainder when 68 - p - z - -1 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 9:24 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6290704 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/30*(-2)\/14?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l*l*l\/l**(2\/3))\/l*l)\/(l**(-7)\/l))**7*(l\/(l*l**(3\/5)))\/(((l**(1\/2)\/l)\/l)\/l)*(l*l**(-5))\/l*(l**(-6\/5)*l)\/l assuming l is positive.\nAnswer: l**(2461\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 951*q + 2 = -952*q, 3*q + 4 = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1146.282 litres to millilitres.\nAnswer: 1146282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 4*d + 2. Let u(b) = -b**2 - 3*b + 4. Let a be u(-4). Suppose 0 = 3*x - 0*x + r + 53, a = -5*x + 5*r - 55. Let y = x + 11. Calculate j(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = x, 2*x - 6*x + 11 = -d. Suppose -5*s - u + 0*u = -1557, 4*s - 1260 = x*u. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 1:39 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -83*r**3 - 2*r**2 + 2*r - 1. Calculate b(1).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7978*f*h**4 - 14202*f*h**3 + 1018066840*f*h wrt h?\nAnswer: 95736*f*h**2 - 85212*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21121, -41626, -61483, -80698, -99277, -117226, -134551?\nAnswer: -151258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r - 42 + 40)*(-3*r**4 + 5*r**3 - 5*r**3) + (0*r**3 - r**3 - r**3)*(4*r**2 - r**2 - 4*r**2).\nAnswer: -r**5 + 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 6*j**2 - 7*j + 1. Determine b(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 13*f**2 + 13*f - 26. Suppose 0 = -9*b - 114*b + 1476. What is m(b)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j**(1\/13))\/j*((j\/(((j*j\/j**(-1\/3))\/j)\/j))\/j)\/j*j)\/(j\/(j**(-8\/5)*j*j)*((((j\/j**(2\/5))\/j)\/j*j)\/j)\/j) assuming j is positive.\nAnswer: j**(496\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1230*x**4*y**3 + 3*x**3*y**3 - x*y**3 + 19*y**3 - y**2 wrt x?\nAnswer: 14760*x**2*y**3 + 18*x*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5 + 249*w**4 - 92785*w**3 - 14087549*w**2 + 2857648248*w + 33011742764 = 0. Calculate w.\nAnswer: -301, -11, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Convert 3.680724ml to litres.\nAnswer: 0.003680724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 2421 = 4719. Calculate the remainder when g is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -207 + 140?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-5) - (-4 + 2). What is the second biggest value in c, 0, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 16. Let o be a(18). Let s be -1*(0 + -1)*o. Let l(k) = 0*k + k + 3 - 2. What is l(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -16377?\nAnswer: -16384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2734 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -13*c - 9. Let f be u(-1). What is the greatest common divisor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65 - -2974.5.\nAnswer: 2909.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -29. What is the nearest to 0.07 in l, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -183?\nAnswer: -183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/10 + (-1950)\/250 + 6. Suppose -o - 13 = -4*s, -s + 10 = 3*o - 3. Sort o, -3, l, 5 in decreasing order.\nAnswer: 5, o, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53.77 - -54. Let l = a + -0.2. What is the second smallest value in 3, 1\/10, l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*w - 478 + 6040 = 422 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 14 = -s + 5*s, -s = -4*a + 14. Solve i = 4*i - h + 11, 3 = i + a*h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -185 + 193. Find the second derivative of a*s + 7*s**3 - 27*s + 13*s**5 - 2*s**3 wrt s.\nAnswer: 260*s**3 + 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47303.\nAnswer: 47303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 12 + 8 - 4*k - 21)*(-475*k + 475*k - 147*k**3).\nAnswer: 588*k**4 - 441*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + 431031512?\nAnswer: 431031466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or -3\/20?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 142170158 to the power of 1\/2, to the nearest integer?\nAnswer: 11924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 2447629474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*c - 4*d - 43, -34 = c - 4*d. Is (-6 + 54)\/((-3)\/c) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38249, 4, -178 in increasing order.\nAnswer: -178, 4, 38249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.1961 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + w - 1. Let h be x(-3). Let g = -215 - -253. Calculate the remainder when g is divided by (-1)\/(3\/(1 + h)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -31*k. Suppose 4*v = -3*g - v + 26, -v = 3*g - 10. Determine w(g).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4103750 is divided by 1756.\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 34802967541?\nAnswer: -34802967538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k. Let v(w) = w**2 + 5*w. Let u(a) = 0*a + a - 5*a + 3*a. Let f(x) = 5*u(x) + v(x). Determine f(s(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -237, 1\/7, 3, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36)\/(-24)*4\/3. Suppose a*t = -0*t - 2*b + 6, -t + 3*b + 7 = 0. Solve -1 = -3*w - t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 u when three letters picked without replacement from {u: 7, s: 5, q: 1}?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**4 + 0 + 0)*(-2*n + 0 + 0) + 0*n**5 + 10*n**5 + 0*n**5.\nAnswer: 8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2. Let g(y) be the second derivative of 1748*y**4 - 114*y**2 - y - 71. Let c(b) = 461*b**2 - 5. Let p(i) = -228*c(i) + 5*g(i). What is t(p(m))?\nAnswer: 103968*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -e1?\nAnswer: e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 22?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 8:17 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 7:37 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -14 (b) -6 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgpjtpjcrppjr. Give prob of sequence trj.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 269 (c) -168 (d) -2\/5 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a kilometer in meters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000013385 rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 0) + -1 + -4 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/25)\/((-199881)\/(-20190))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/34*(3 + (416\/(-20))\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*i**4 - 46*i**4 + 49 - 21 + 49 with respect to i.\nAnswer: -348*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15860676?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34045 = -51*v - 2017. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, o: 5, q: 1, h: 1}. What is prob of sequence yyqh?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 140.029 + -191.9994. Let g = x + 52. Let l = g - 0.02. Round l to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 12 - 2 = -5*y, y - 5*l = 7. Suppose 0 = 3*f + y*g - 320, 0*g + 4*g + 8 = 0. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1253.529 - -194.859. Let r = 1065 + d. Round r to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -206*u - 2883. Let g be b(-14). Solve -26*m + g = -155 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.389*-0.5\nAnswer: -0.1945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 833 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -79*p**3\/6 - 38*p**2 + 75*p - 1. What is the first derivative of h(l) wrt l?\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 656971 (base 12) to base 8\nAnswer: 6105345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 858 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.08 or -1.01?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26866714*o**4 - o**2 - 681294?\nAnswer: -644801136*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -13*n + 385. Is (n\/14)\/11*12254 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 469, 936, 1409, 1882, 2349, 2804, 3241?\n\"Answer: -c**3 + 9*c**2 + 447*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = s - 45. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2400*h + 4933*h - 2466*h.\nAnswer: 67*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 109, 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2252 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**5 + 40331*b**4 + 568*b**2 - 37*b - 3 wrt b.\nAnswer: 60*b**2 + 967944*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c + 10*c - 52 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 125 = -2*r. Suppose -43 = u + q, -7*q = -u - 2*q - r. Let f = 6 - u. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*d + 6*d + 2 = 0, -5*d - 20 = 0. Which is the nearest to 1\/4? (a) u (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 51 + 2*g - 74*g**2 - 39 + 45.\nAnswer: -74*g**2 - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-820)\/70 + 48\/(-21) + 2. Let y be p\/66 - (-84)\/99. Is y smaller than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1 = 17. Suppose -8*h - j = -38. Suppose 0 = -5*p + 55 + 55. What is the least common multiple of h and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20854.2 - 4124.125404?\nAnswer: 16730.074596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30051681 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/8 - 8190*g + 65519\/8.\nAnswer: (g - 65519)*(g - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 16) + 16 + (-8 + 0 - (3 + -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41324 - 44104?\nAnswer: -2230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/7*(1\/27)\/((-27)\/27)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 580635 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**2 + 8*w - 4. Let s(t) = t**5 + t**2 - t + 1. Let m(u) = b(u) + 4*s(u). What is the second derivative of m(d) wrt d?\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69161?\nAnswer: 23, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 543, 1178, 1905, 2730, 3659?\nAnswer: 4698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c**3 - 11*c**2 - 56*c - 61. Let r be p(-6). Is -1628 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3620600 by 21050.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 = 4*k. Suppose -g + 258 = k*g. List the prime factors of g.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -149\/219 + 1\/73. Sort 3, -4\/7, m in descending order.\nAnswer: 3, -4\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1ad - 2045?\nAnswer: -2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 7*t - 5. Let u be (26\/65)\/((-1)\/10). Calculate k(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -1)\/(51\/680*-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2274926.61 rounded to the nearest 100?\nAnswer: 2274900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/5 (b) -2\/11 (c) 1 (d) -6.463\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7224571, -14449052, -21673533, -28898014?\n\"Answer: -7224481*d - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 940011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4 = 0, 8*j = 4*j - 3*c + 26 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -82, -94, -112, -136, -166, -202?\n\"Answer: -3*z**2 - 3*z - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 11:47 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 72\/32 - 1\/4. Let k be (-3)\/(-5 + u - -4). Let m be -3*(-3)\/90*6. Which is smaller: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - p + (2 - 3 + 2)*(p + 0*p + 0*p) + p + 2 - 2 + 2*p + 3*p + 4*p as j*p + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k + 20. Let n = -475 + 1013\/2. Find the common denominator of -75*(k\/16)\/5 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/3 - 2980*t**2 - 26858*t\/3 + 29820.\nAnswer: 2*(t - 4473)*(t - 2)*(t + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((0 - 4)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.7 - -0.3. Let k = -13 + c. Let r = -0.1 - 0.9. What is the biggest value in k, 1\/2, r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.05, -49\/5, -1\/96?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2651100 rounded to the nearest ten thousand?\nAnswer: 2650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 45. Suppose 2*d = -o + 1. What are the prime factors of (d\/(-14))\/((-1)\/(-12))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.62 and -0.74?\nAnswer: 0.4588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3634 = -7*n + 2169. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24568 is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4220225 (base 7) to base 12.\nAnswer: 206775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020465 to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1088.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18230*a**3 + 6948*a**3 + 332*a**3.\nAnswer: 25510*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2694647, 2694646, 2694645, 2694644?\nAnswer: 2694643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010 + 110000?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.682, -1\/6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - r - 0 - 25, 3 = l + 5*r. What is the highest common divisor of l and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146348477.\nAnswer: 11, 103, 129169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 178 in increasing order.\nAnswer: -2, 0, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 4 (b) -13 (c) 0.5 (d) -775 (e) -2\/5 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -11248*r - 65. Is n(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(1275)*1 + sqrt(1275) - sqrt(1275)) + sqrt(1275))\/(sqrt(24)\/(1*sqrt(8))) + (2 + sqrt(2057) - (-5 + 1 + sqrt(17)))).\nAnswer: 18 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48\/101 or 0.276?\nAnswer: 0.276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 1\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, o: 1, e: 1}. What is prob of picking 1 o and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11.97+-1146735.3809\nAnswer: -1146747.3509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 31*d - 7. Does 11 divide w(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -843\/1627 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 1\/3*t**4 + 1\/20*t**5 - 1\/2*t**2 - 1\/6*t**3 + 0 - 9*t. Let r be k(-4). Solve 3 = -r*z, -4*b - b - 21 = z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 449100 and 394210.\nAnswer: 35478900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -29*z + 210. Calculate t(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109 - -267. Let o = f + -787\/5. Put 2, -1, o in descending order.\nAnswer: 2, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 126 - 2 + 2*m**3.\nAnswer: 2*m**3 - 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 183?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3))**9)**(-2) assuming a is positive.\nAnswer: a**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n + 9. Let x(v) = -v + 2. Let d(c) = -4*q(c) + 22*x(c). Let a be d(-4). Let y = 16 - a. Solve 6*w - w - 25 = y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 7*x**2 + 9*x + 5. Let i be ((-1421)\/(-28))\/(-7) - (-9)\/(-12). Determine h(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 2:29 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, -122, -612, -1354, -2366, -3666, -5272, -7202?\nAnswer: -9474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 914 - 3535\/4. Suppose z = -11 - 19. Let y = g + z. Which is bigger: y or 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 2 - 1)\/7. Let t = -7.9 + 6. Let n = t + 2. Put n, h, -3 in increasing order.\nAnswer: -3, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-50 + 2\/2). Let z = i - -70. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-90)\/(-160)*1\/3. Let z = 7.3 + -7. Let n = z - -0.2. Put n, w, -1\/4 in increasing order.\nAnswer: -1\/4, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19264 and -11.363.\nAnswer: -19275.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = z + 445, -6*d = -5*d + 4*z + 100. Let j be 5\/(-4)*(d\/(-20) + -6). Let w = 169\/110 - 18\/11. Which is the closest to 4? (a) w (b) -4\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 6, 36 in descending order.\nAnswer: 36, 12, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-15)*(-3 - 2). Suppose -o = 4*t - 33401, 0 = -b*t + 3*o + 30073 - 5011. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + z + 1. Let b be j(2). Suppose -5*v = -7*v + 198. What is the greatest common divisor of v and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.08 (b) -3\/2 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -914 + 914 - 4*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -26*c + 176. Let o(j) = -9*j + 58. Give 6*l(k) - 17*o(k).\nAnswer: -3*k + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13021021 (base 4) in base 12?\nAnswer: 14b21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 o when three letters picked without replacement from oooobooo.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - -8. Let c be 14 + (m\/(-2))\/5. Solve -10 = -5*j + c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 l, and 1 y when four letters picked without replacement from {y: 6, d: 4, s: 1, l: 2}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 4*o**2 + 8*o - 4. Let k(g) = -3*g - 31. Let l be k(-12). Calculate z(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -101. Does 21 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 150*z - 158. What is q(149)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -28103 divided by -503\nAnswer: 28103\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81123 is divided by 246?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 = -p - 4*i, 5*p = -4*i + 13. Find the third derivative of 367*a + 235*a**p - 401*a + 70*a**5 + 4*a**2 wrt a.\nAnswer: 18300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z + 48. Determine y(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4452 - -5?\nAnswer: -4447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*y + 0 = 10, -8 = 2*z - 3*y. Suppose -s - 2*s = -i + 262, -z*i + 559 = s. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -25. What is the closest to -2\/3 in -0.5, 5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 7*q**2 - 12*q + 5. Calculate the remainder when f(-8) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 1. Let d(v) = 8*v - 6*v + v**3 + 49*v**3 - 2. Let k be d(1). Suppose -2*o + 14 = l + 1, 5*o - k = -5*l. Calculate u(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 355451582 to the nearest ten thousand.\nAnswer: 355450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-735))\/(-1)*(-15)\/3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495 = 251*h - 244 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0*o + 3*o + (-3*o + 3*o + 7*o)*(5 - 4 - 3) - 4*o - 2 + 2)*(0*o - o + 6*o).\nAnswer: -80*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 10:24 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*x + 1454 - 7328, 11733 = 4*q - 5*x. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8441 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 4 + 3)*(-2 + 2 - d)*((0*d**3 - 5*d**3 + 3*d**3)*(1 - 1 + 1) - 4*d**3 + 4*d**3 + d**3) to q + t*d**3 + u*d**2 + k*d + s*d**4 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8228023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*a - 27 - 48, 0 = -3*p - a + 70. Suppose 2*c - 2*s = 42330, -p*c - 5*s = -21*c - 84642. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -436072*w**2 + 429935?\nAnswer: -872144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g = -9*g - 4515. Find the common denominator of 2 - 10\/4 - 28 and (-2)\/14*g\/(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18084196 divided by -4521049?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/2 (b) -1\/11 (c) 5 (d) -1180\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9002610*d - 4501315*d - 4501299*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.89 - -0.11. Let y = 222 + -217. What is the nearest to -1 in 0.1, y, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 5:01 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8891384.9 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 12, 0.4, -5, 2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13\/2*28\/742*53\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 824757?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h - 2. Let g be v(-1). Suppose g*o - 2*m + 76 = 0, 0*m - m - 2 = 0. Let a = o - -16. Solve n = f - 3*f + 2, a = f - 2*n - 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40738493.\nAnswer: 40738493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 271037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/5 + 261*n**2\/5 - 1539*n\/5 + 459.\nAnswer: -(n - 255)*(n - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (71 - 106 - 41)*(-8*k**2 + 14*k**2 + 3*k - 8*k**2) in the form y*k**2 + l*k + m and give l.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 331\/2 + (-4)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53.26 + -52.36. What is the nearest to -13 in 5, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 1)*6)**2 - sqrt(243).\nAnswer: 639*sqrt(3) + 8784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**5 + 9*t**4 - 8*t**3 = 0?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 7. Find the second derivative of 13*l**y - 14*l**3 + l + 3 - 3 wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -161 - -242. Let h(d) = -1 + 3 - d**3 + m*d**2 + d - 85*d**2. What is h(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 i, and 2 d when four letters picked without replacement from udidduuiiiiiddiduud.\nAnswer: 245\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z + 15 = -2*r, -4*z + 5*r = 5. Solve 0 = 4*w - 25 + z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -6. Suppose -4*a = 2*p - 40, 3 = -3*a - 4*p + 43. What is the third derivative of 2*f**4 - f**m + f**2 - a*f**2 + 4*f**2 wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.0311105kg?\nAnswer: 31110.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60980766?\nAnswer: 2, 3, 7, 11, 19, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2\/(y\/(y\/(y*y**2))))\/(y*y**(-10\/11)*(y*y**22*y)\/y) assuming y is positive.\nAnswer: y**(-265\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 19, 49 in decreasing order.\nAnswer: 49, 19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 708 + 693 = -3*c, 7*c - 2*w = -5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 2, -1628, -5, 5.\nAnswer: -1628, -5, -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*(0 + sqrt(1700)))*3.\nAnswer: -180*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3529713 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4028858, 16, 5, -5 in descending order.\nAnswer: 16, 5, -5, -4028858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/((-1)\/(-1) - 3). Let v be 1*(9 + -11)*(-2)\/3. Put -5, v, p in increasing order.\nAnswer: -5, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57837 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7.7 - 1671964784\nAnswer: -1671964776.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3471.3 and 0.96.\nAnswer: 3472.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 2*v + 0*v - 5*v + (-4 + 4 - 2*v)*(-3 + 3 + 2) + 3*v - 6*v + 0*v + 2*v - 4*v - v.\nAnswer: -13*v - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 488 times 206\nAnswer: 100528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y**3 + 16*y**2 - 3*y + 5. Let r(k) = 15*k**3 + 33*k**2 - 5*k + 10. Let m(t) = -13*l(t) + 6*r(t). What is the tens digit of m(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0020789736 rounded to 5 dps?\nAnswer: 0.00208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.5, 157.3, 0.06, -5, 0?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 0.9. Let q = -25 + 21.9. Let i = m + q. Sort i, -1, 5 in decreasing order.\nAnswer: 5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605*l = 500*l - 1995 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9959 divided by 5622\nAnswer: -9959\/5622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*j - 43, -2*j + 72 = j + 3*g. Suppose 8*v = 12*v - 24. Let t = j - v. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265540 rounded to the nearest 1000?\nAnswer: -266000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*i**3*y**2 - 5*i**3 - 16*i**2*y - y**2 + 1 wrt i?\nAnswer: 54*y**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -161 > 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -7)*(-2)\/(-4). Let j be s\/3 - (-34)\/3. Suppose -h - 2*h = -j. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7487449741?\nAnswer: 7487449741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0065 - -0.0065. Which is the closest to -13? (a) 3 (b) -7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 2\/5, -36, -21, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 139.2 + -138.2. What is the nearest to 3 in 3\/7, -0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -9*i**2 - 193*i + 436. Let p(r) = -3*r**2 - 65*r + 146. Let v(o) = 2*f(o) - 7*p(o). Find s, given that v(s) = 0.\nAnswer: -25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) -3\/7 (b) 3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(1\/2)*m)\/(m\/(m**7*m))*((m\/(m**8*m*m*m))\/m)\/(((m*(m**(-1\/4)*m)\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81.3 - 81. Which is the fourth biggest value? (a) t (b) 1\/5 (c) 3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1356, -5765, -13180, -23595, -37004, -53401?\n\"Answer: r**3 - 1509*r**2 + 111*r + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 546\/107 less than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 314 - 77. Suppose -j = -11*q + 357. Calculate the remainder when q is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3\/6 + 356*m**2\/3 - 4168*m\/3 - 22400\/3 = 0. Calculate m.\nAnswer: -4, 16, 700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33192.\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 times -51.9003?\nAnswer: -1868.4108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 + 297*t**2 + 870*t + 576.\nAnswer: 3*(t + 1)*(t + 2)*(t + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-10) - -1 - 33\/(-55). Solve f*u = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2. Is (0 + l + 39)*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(107\/((-170665)\/(-348)))\/(3\/((-99)\/(-6))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**2 - 2275*u - 2280 = 0. Calculate u.\nAnswer: -1, 456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182533\/30 + -6082. Calculate the common denominator of 47\/9 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((168\/(-280))\/(1\/2*-123))\/((-74)\/185).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**7\/42 - 83*b**6\/30 - 108*b**5\/5 - 175*b**4\/3 - 176*b**3\/3 - 782*b - 8. Suppose o(v) = 0. Calculate v.\nAnswer: -2, -1, 0, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 12*a - 13. Let f be n(-11). Let c be (3\/(-4))\/(f\/(360\/5)). Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17495981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 2*d - 10, 4*d + 6 + 3 = d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 320023030011 - -13?\nAnswer: 320023030030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -865*j - 138*j + 157*j - 148 - 699 wrt j?\nAnswer: -846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 491 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 3:05 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 - 68.5. Which is the biggest value? (a) 0 (b) 2 (c) q (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**2 + 3*i + 1. Let g be d(4). Let o be (-2)\/(5 + 392\/(-77)). Calculate the greatest common divisor of o and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3 = -c, c = 7*t - 4*t + 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.051 * 23738376\nAnswer: 1210657.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -587553, -1175108, -1762663, -2350218, -2937773, -3525328?\n\"Answer: -587555*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/16)*p\/p**(23\/5)*p assuming p is positive.\nAnswer: p**(-213\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -87. List the prime factors of l.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7*(-4)\/(-18))\/((-13)\/117). Let y be (10\/(-1)*-7)\/(-1). Let x be (-60)\/k + (-20)\/y. What is the third biggest value in -2, -0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27862?\nAnswer: 2, 13931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2 - 7. Let d be 6 + (-1 - 2\/1). Let i(o) = -o**2 + o. Let t(q) = d*i(q) + s(q). What is t(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 + 1.1. Which is the closest to k? (a) -1\/3 (b) -1 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10170 and 360018.\nAnswer: 1800090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-22)\/((-572)\/(-39)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-18 + (-1988)\/(-112))\/((-1)\/76).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -178930 + 603179. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4841, -4840, -4839, -4838, -4837, -4836?\nAnswer: -4835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 108 = 7*l. Let j be -25196*(-3)\/l*(-3 - -1). Let r = -1398 - j. Is 1 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 9 - (86 + (-22 - 44))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sddsgdddgssgssa. What is prob of sequence da?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.13, -0.3, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3. Let x(s) = -s + 1. Let h(v) = 3*v - 2. Let n(z) = h(z) + 2*x(z). Let o be n(2). Which is the third biggest value? (a) o (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5920 and 173596600.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/5 + 1286*s\/5 + 157112\/5.\nAnswer: 2*(s + 164)*(s + 479)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 5*p - 2*p**2)*(-1 + 6 - 40*p - 3).\nAnswer: 80*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1508 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2299) - (sqrt(19) + (sqrt(931) - sqrt(931)*4) + sqrt(19))) + 2.\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 + r + 1. Let x be v(-1). Suppose 2202*c = 2194*c + 4608. Let q = 581 - c. Solve -x*y - 1 - q = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-8)*3664\/687?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/(-504))\/((64\/(-8))\/16)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -176 + 130. Let k = 263 - 370. Let i = f - k. What is the remainder when i is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*n + 5 - 38*n - 3*n**2 + 71*n to q*n + x*n**2 + u and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 - d**3 + 134*d + 96*d.\nAnswer: -2*d**3 + 230*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrggrrgrrgggr. Give prob of sequence gr.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1 + (-174)\/7). Let x = m - -9467\/3258. What is the common denominator of x and (-2 + (-90)\/44)\/1?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + (-15 - (24 + -64))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1433 (base 6) to base 16.\nAnswer: -17d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20668283458 and -3.6?\nAnswer: 20668283454.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2120986730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -146?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3979908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9729133?\nAnswer: 31, 157, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 396 and 22?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-7 + 5)) + (-14 - 12) + 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/66 and (21\/(2268\/328))\/((-88)\/3)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2523*i - 158515. Determine h(-63).\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35448393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -16*2\/4*-2. Suppose -4*c - 117 = -3*r, 3*r - 3*c - 101 = w. Is 27 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 64*t**2 - 2*t + 1. Let n be i(1). Let p = n + -59. What is the third derivative of -5*s**p - 12*s**2 + 6*s**2 - s**4 wrt s?\nAnswer: -144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*m - 31, -5*z + 3*m + 50 = -2*m. Suppose z*k - 3*q = 4*k + 5, 0 = -k + q + 1. Calculate the lowest common multiple of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 545 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*u)*(4 - 4 - 2*u**2) + u**2 - u**2 + u**3 + 1 + u**3 - 1 - u**3 + 4*u**3 - u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*l - 13*l**2 + l + 3*l + 33*l**2 wrt l.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 12*o - 19. Let r be l(-10). Let p = -263 - -3417\/13. Which is bigger: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -163628\/64135 - -258\/101. Let s = k - -5046\/10795. Let j be 16 - 11 - (2 - -3). Which is smaller: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 243841757?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from avabuvbbvvvay?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 784*c**3 - 876*c?\nAnswer: 4704*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 52, 73, 96, 121?\n\"Answer: v**2 + 18*v + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -948726, 5, 0.19.\nAnswer: -948726, 0.19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/46, 0.018, -0.5, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.056448kg to milligrams.\nAnswer: 9056448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 8*h + 11. Let x be o(0). Solve 0 = 5*y - x + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7041, 14063, 21063, 28041, 34997, 41931, 48843?\n\"Answer: -11*f**2 + 7055*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 3:09 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -425322 and -0.1.\nAnswer: -425322.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 equal to 132090?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 520, 1170, 2080, 3250?\nAnswer: 4680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*f*g**5 + f*g**3 + 3*f*g - 27*f wrt g.\nAnswer: 160*f*g**3 + 6*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 0)\/((-7)\/56*-8). Solve f = 2*s + s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549563527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 i when three letters picked without replacement from ejddpeij?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5450132 rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f. Let h(n) be the first derivative of -n**3 + 4*n - 260. Calculate h(v(k)).\nAnswer: -12*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 15 = -d. Let i(v) = 38*v + 14. Let m(c) = -25*c - 9. Let s(z) = -5*i(z) - 8*m(z). Is 16 a factor of s(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 8*a - 7. Let h(w) = -w + 1. Let l(y) = -f(y) - 5*h(y). Let b(t) = -39*t + 27. Let j = -3543 - -3545. Calculate j*b(u) - 27*l(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091731403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11772*67\nAnswer: -788724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1.3 (b) 0 (c) 0.139 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**3 - 5*q**2 - 5*q - 5. Let s(l) = -l**3 - 2*l**2 - 2*l - 2. Let w(t) = -2*b(t) + 5*s(t). What is the units digit of w(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q**(3\/2)*q)*q)**(1\/39)*q*q*q**7*q*q*q\/q**(2\/19))**13 assuming q is positive.\nAnswer: q**(17647\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 825387697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/6 - (-47)\/282. Solve -11*v + 13*v = c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -144*y - 1507. Let o be w(-7). Is o < -500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y - 66. Let a = y + -23. Let o be (2 + 0)\/((-28)\/(-6)). Which is smaller: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by 72472?\nAnswer: -27\/72472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-4))\/((-1)\/2). What is the third derivative of 14*d**4 - 14*d**4 + 10*d**5 - 13*d**2 - d**i wrt d?\nAnswer: 540*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 81*j**2 - 520*j - 56113. Give y(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 126, -1 in decreasing order.\nAnswer: 126, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q + q + 8*q**2 - 6*q**2 + 4*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -145 + (158 - 16) + (2 - -36)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, m: 2, b: 1, x: 5, i: 1, s: 1}. What is prob of sequence em?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10100002 - 20020?\nAnswer: 10002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 1:34 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwhwwwh. What is prob of picking 2 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -319*c**3*o**2*q**2 - 2*c**3*o**2*q + 122*c**3*o*q**3 - c**3*q**2 - 276510*o**2*q**3 + 3*o**2*q**2 + 3*o*q**2 + 93*q wrt q.\nAnswer: 732*c**3*o - 1659060*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1658, 1601, 1514, 1403, 1274?\nAnswer: 1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 31*n + 42. Is s(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -25*l**2 - 4*l + 4. Let q(h) = 51*h**2 + 9*h - 10. Determine 5*f(c) + 2*q(c).\nAnswer: -23*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4005201528?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119723 is divided by 5013.\nAnswer: 4424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**2 + w + 8. Let j be v(2). Let c be (-3 - -7)*(18\/7 + j). Solve -4\/7 - t**2 - c*t = 0.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -1, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 360 + -367 - (-2 + (-1 - -5)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-98)\/(-7)*(45\/(-21) + 3). Suppose -2*p = q*p - 2646. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 7*g - 60. Sort g, 3\/7, -5 in ascending order.\nAnswer: -5, 3\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 1. Suppose 0 = -66*f - 106*f - 860. Let w(h) = -4*h - 12. Calculate f*s(l) - w(l).\nAnswer: -l + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k - 220 = 13*p, -128*k + 129*k + 76 = -4*p for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jlcj when four letters picked without replacement from {l: 2, c: 1, v: 2, p: 1, j: 3, a: 3}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 7.72. Which is the third smallest value? (a) 2 (b) -2\/5 (c) -1 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 691 + -21. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8)*(-11 + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**5\/12 - 10*g**4\/3 - 70*g**3\/3 - 2*g**2 + 168. Suppose d(h) = 0. Calculate h.\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 9:02 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4415344747.90000061 - 4415344772. Let q = m - -24.1. What is q rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 0, -0.2, 1\/12, 2, -17.\nAnswer: -17, -0.2, 0, 1\/12, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4520*d - 307427. What is i(68)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**28\/x))\/((x\/((x\/(x*x**(-1\/39)))\/x))\/x) assuming x is positive.\nAnswer: x**(-1052\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 2*c**2 + 25. Let z be b(0). Suppose -5*q + 70 = -2*k, 0 = q - 4*k + 2*k - 14. What is the remainder when q is divided by (-2 - -1)\/((-5)\/z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, c: 1, n: 5}. What is prob of picking 2 q?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-10)*(-390)\/((-546)\/14).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 - 44807200*q**2 + 89614403*q\/3 - 4978578.\nAnswer: -(q + 14935734)*(3*q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121450.29 months to centuries.\nAnswer: 101.208575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -5. Let q = 9 - 9.4. What is the third biggest value in w, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*k - 153*k + 264 = 0. What is the least common multiple of k and 20?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158901382, -158901366, -158901332, -158901274, -158901186, -158901062?\nAnswer: -158900896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 196 in 157, 1\/3, 2?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23639203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/16 in 7, -5.6, -5.39?\nAnswer: -5.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 652, -1425, -7044, -17975, -35988, -62853, -100340, -150219?\n\"Answer: -295*d**3 - d**2 - 9*d + 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 less than 3.04?\nAnswer: -84.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**3 - 6*h**2 - 6*h + 88. Let a(b) = -3*b**3 + 3*b**2 + 3*b - 50. Let u(r) = -7*a(r) - 4*c(r). Give u(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 0 - (-17 - -17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1926?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -13*z**2 + 4581*z - 50316. What is f(11)?\nAnswer: -1498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16927593713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4 + sqrt(80)*-5 + -2)**2 + (5*sqrt(405)*2 - -2*(sqrt(405) + 1 + sqrt(405)))**2.\nAnswer: 424*sqrt(5) + 81389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/6 - (-9217)\/78*28. Suppose -8166 = -15*m + a. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -25\/425154 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**4 - 5*b**2 + 146507*b + 491802 with respect to b.\nAnswer: 4*b**3 - 10*b + 146507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 350 and 2050825.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1177662, -2355331, -3532992, -4710645, -5888290?\n\"Answer: 4*w**2 - 1177681*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 684 - 441. Let a = z - -44. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.493694 to 2 decimal places.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d - 3. Let p = -10 - 105. Let o = 112 + p. Let j(a) = -7*a + 5. Determine o*j(k) - 5*y(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 16. Suppose -l*x - h = -23, -2*x = -4*x - 5*h + 37. What is the highest common factor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3246 (base 10) in base 5?\nAnswer: 100441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/7 (b) 421 (c) 191\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 5*n + 4. Let y be (3 - 0) + -2 + 6. Let w(h) = 4*h**2 + 16*h - 13. Let r(s) = y*q(s) + 2*w(s). Find j, given that r(j) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 166 - -207. Factor 3*v**2 + 421*v + 0*v**2 - v**2 - u*v + 288.\nAnswer: 2*(v + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*j + 57*j + 288 = 0. Does 36 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1540 and 3408944.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-12))\/(80\/(-192))*35.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2075210946 take away 0.052866?\nAnswer: 2075210945.947134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 0 + 2)*(-2 + 5 - 5) + (-13 - 24 - 7)*(26 + 17 - 16))*(2*o**4 + 1 - 5 + 5) as b*o**3 + f*o**4 + t + q*o**2 + z*o and give f.\nAnswer: -2380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421*w + 200*w + 2652 = 0 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15888 is divided by 51?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -29*h - 44. Let z(i) = 15*i + 22. Give -6*x(g) - 11*z(g).\nAnswer: 9*g + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -11*i**2\/2 + 43. Let o(h) be the second derivative of h**4\/6 + 5*h. Calculate o(z(v)).\nAnswer: 242*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8 = 2. Let r = 9 + y. Suppose r*g = 5*a + 7*g - 44, -4*a - g + 31 = 0. Calculate the remainder when 26 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 3)*-1 + -45. Let d = -28 - a. Suppose v - 2*b = 52 - d, 0 = -2*v + b + 80. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 150\/(-22) + (-4)\/22. Let i(j) = -2*j**3 + 14*j - 27. Let p(w) = w**3 + w**2 - 8*w + 14. Let n(k) = f*p(k) - 4*i(k). Determine n(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + -7)\/(2\/(-20)). What is the common denominator of -83\/14 and 2 - 66\/o - -3?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 8*h**2 + 7*h - 3. Let y be p(-7). Let l be (0\/y)\/(-2) + 5. Let i be 0\/(-10) - (2 - l). Solve -i*z - 8 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1020\/815471?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 336 + -177. Let h = -18 - -23. Suppose x - i = q, h*x + i - 153 = 654. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrhhhrhhhr. Give prob of sequence hr.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -183*q**3 + 20*q**2 - 266*q - 1 + 266*q wrt q?\nAnswer: -1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134108, 134113, 134118?\nAnswer: 134123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*t - 115 = -5*t, 3*k = 5*t + 143. Suppose 6*b - 5*r - 37 = 3*b, 4*b - 5*r = k. Solve -b = -p + u - 2*u, -3*u + 12 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5251 is divided by 924?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnrrgn. Give prob of picking 1 n and 1 r.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + c - 5 = 8, 2*c = -6. What is the remainder when (-143)\/(-3) + o\/6 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13965519 or -0.4?\nAnswer: -13965519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 - -54.00147. What is h rounded to four dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**7\/630 + m**6\/45 - 4*m**5\/45 + 64*m**2. Factor u(f).\nAnswer: -f**2*(f - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/((-576)\/186))\/(-1))\/(3\/24)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -326, 3, -65, 5 in descending order.\nAnswer: 5, 3, 2, -5, -65, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 2*u + 83179, w - 2*u + 0*u + 27737 = 0. Let v = w - -3129. Round v to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k. Let v(t) = 5*t**2 - 6*t. Let g(r) = -11*r**2 + 11*r. Let x(w) = 6*g(w) + 11*v(w). Calculate y(x(u)).\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 55\/1305362?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, m: 5, d: 2, r: 2, n: 3, z: 2}. Give prob of picking 1 d and 2 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36911 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 924022402 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21*(1 + (-48)\/(-9))?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 b when four letters picked without replacement from {b: 3, r: 3, w: 2}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-1\/5)*a)*a**6)**(2\/55)\/((a**(-1))**(3\/25))**(2\/93) assuming a is positive.\nAnswer: a**(1944\/8525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 - -71. Suppose -3*g - l*c = -47, 6*g - 40 = g + c. Calculate the least common multiple of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 2*t**2 + t + 2. Calculate g(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -17595890 at least as big as -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6151*g**2 - 7*g + 7. Let o(f) = -8153148*f**2 + 9279*f - 9279. Determine -9279*b(z) - 7*o(z).\nAnswer: -3093*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 596591?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 minus 0.4002526?\nAnswer: -0.2502526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286\/9 + (-4)\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 3542897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 + -16 - 31 - -26) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -14. Let o be ((-2)\/d)\/(9\/27). Differentiate 2*y**3 - 5 + 5 + o wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78332760 to the power of 1\/2, to the nearest integer?\nAnswer: 8851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-1\/3)\/a)*(a\/a**0)\/a)**27\/(a\/(a\/(a**2\/a))*a**(-7)*(a\/a**(1\/3))**(-38\/3)) assuming a is positive.\nAnswer: a**(697\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4347 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 2. Let i be t(-2). Let v be 42 + -4 + 2 + i. Let u = -24 + v. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-10 - 7) + 16 + 14 + 9 + 60?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22943 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 9*d**2 + 6*d - 9. Let g be 1\/((-2)\/(-3)*(-66)\/352). Determine m(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 + 7 - 24)*(2*v - v - 2*v - 2 + 2 + 5*v + (-2*v + 2*v + 2*v)*(-1 + 4 - 1)).\nAnswer: -640*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/19 (b) -4\/7 (c) 5 (d) -1\/95 (e) -201\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25795\/(-13090)*(-306)\/36?\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088)*-4)**2*-3 - ((sqrt(2448) - (sqrt(2448) + 4*sqrt(2448)*3)) + sqrt(2448))**2)*6*1.\nAnswer: -2090592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 3, n: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51298 is divided by 3744.\nAnswer: 2626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 3*f = 100. Suppose -2*p - f = 2*p. Let x = p + 8. What is the remainder when 7 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 + 3*b**4 + 3*b**3)*(2*b - 23 + 23).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0327212311 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -2*u + 4*f, 11*f - 3*f + 18 = -17*f + 24*f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3021 (base 5) in base 9?\nAnswer: -468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 1, -26, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -196 - -226. Calculate the highest common divisor of p and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 2*d + 2*d = 7, -3*g + 4*d - 9 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 9\/(-12)*-4. Suppose q*f + 11 = 5*w - f, f = -2*w - 6. Let r be -2 - (-1)\/3 - w. What is the second smallest value in r, -5, 3\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 71\/1715 or -1?\nAnswer: 71\/1715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1396461\nAnswer: -1\/1396461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - g + 0*g**2 - 71*g.\nAnswer: 2*g**2 - 72*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - z - 9 = 4*a, a + 2*z = -7. Let y be (-7 - a)*4\/((-8)\/(-3)). Solve -6*b - y = -4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3 = -4*t. Suppose t*y - 4*y + 89 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -24*r**4 + 29. Let w(g) = -g**4. Let b(f) = v(f) + 3*w(f). What is the derivative of b(y) wrt y?\nAnswer: -108*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4009213.14 less than -89?\nAnswer: 4009124.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 625 = 134*k - 3127. Suppose 2*n - 59 = 221. What is the greatest common factor of n and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(((n\/n**(3\/8))\/n)\/n)*n\/(n*n**(-2\/11)))\/(n**(-1\/7)*n**(-3)\/n) assuming n is positive.\nAnswer: n**(4127\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6223 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 2)*(2 - 4 - 1) + 11 - 5 + 10)*(-2*j - j + 4*j)*(-2 + 2 - 3*j**2).\nAnswer: -30*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -247*a**2\/6 + 53596*a\/3 + 434.\nAnswer: -(a - 434)*(247*a + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -559, -2279, -5195, -9301, -14591, -21059?\nAnswer: -28699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 160*w - 233*w + 161*w - w**2 to s + l*w**2 + k*w and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 4)*(2 - 2 + a)*(-37*a + 1 - 3 + 40*a - 2*a**2).\nAnswer: 4*a**3 - 6*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -16*u + 21. Which is the smallest value? (a) -15 (b) -5 (c) 3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/15 (b) 5\/4 (c) -2\/29459\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -0.3, 0.204, -2.12 in decreasing order.\nAnswer: 3\/7, 0.204, -0.3, -2.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 13 = m, -5*m + 2*m = -4*v + 14. Find the second derivative of -5*u + 9*u - 9*u**m + 11*u wrt u.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6685948, -6685947, -6685946, -6685945?\n\"Answer: j - 6685949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.96, -2\/19, 2, 1\/2.\nAnswer: -0.96, -2\/19, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, 7, -0.5, 1.8, -1\/3 in descending order.\nAnswer: 7, 1.8, -1\/3, -0.5, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -2\/3, 0.027734 in descending order.\nAnswer: 0.027734, -1\/4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - a + 20. Let b be (-30)\/150 - (9\/30 + 1\/(-2)). Calculate l(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and 0.009?\nAnswer: 0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 5*n + 13 = 0, 797*x = 799*x + 4*n - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7145*f**4 - 3*f**2 - f + 6490 wrt f.\nAnswer: -171480*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -3, 5, 823.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5184.3146 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -9*u - 0. Let n(f) be the third derivative of -u*f**2 + 0*f + 0 + 2\/3*f**3 - 1\/24*f**4. Differentiate n(c) wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)\/b**6)\/(b**(1\/4)\/(((b**(-7)*b*b)\/b)\/b)) assuming b is positive.\nAnswer: b**(-77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0206*1.\nAnswer: -0.0206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c44256 + -b?\nAnswer: -c44264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107780 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/38*2142\/882*-133?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2654189 divided by -59.\nAnswer: 2654189\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 161\/(-46)*(-54)\/21 - 4. Solve l*s = 4*y + 16, -y = s - 11 + 15 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 - 6)*(3*n + 5*n - 2*n) - 2 + 114*n + 111*n - 213*n.\nAnswer: -54*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82\/(6\/(-40) + (-68)\/(-170)) is divided by 135.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 449*k**2 - 12687*k + 3222. Calculate a(28).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 8) to base 9\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -627*w - 586*w + 8491 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**4 - 6100*n**3 + 1866590*n**2 - 3714900*n + 1854405 = 0.\nAnswer: 1, 609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2 - 0. Let x = 155 - 160. Is x at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 177 - 181. Let p be 2\/(-9) - (-752)\/(-18). Sort -1, p, k.\nAnswer: p, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -17*s**2 - 1. Calculate b(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 926789237?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 491507\/819180 - -1\/819180. Factor 3\/5*m + 6\/5 - 6\/5*m**2 - k*m**3.\nAnswer: -3*(m - 1)*(m + 1)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18052 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 155234.3mm?\nAnswer: 155234300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2561016895?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -142*y + 2128. Give u(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Let b = -24.1 - -23. Let a = 0.1 + b. What is the nearest to a in n, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24.1 + 2.9. Let t = q - 26.9998. Let y = -2.2698 - t. What is y rounded to 1 decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*h + 24. Let t(y) = -y**3 - 9*y**2 - 11*y - 11. Is t(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27645*d**2*h**2 - 1265176*d**2*h + 84*d*h**2 + 2*d - 2*h**2 + 3*h wrt h.\nAnswer: 55290*d**2 + 168*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 3*w + 4*j, -17*w + 14 = -18*w - 7*j for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15640*k + 4 = 5*p - 15638*k, -12*p - 4*k = -4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 w, and 2 t when four letters picked without replacement from {z: 1, e: 5, t: 10, w: 4}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 42 + 228. Let x = b - 42. Let x*t**2 + 309*t**3 + 3*t - 335*t**3 + 5*t + 7*t**4 = 0. What is t?\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 208 = 6*x. Calculate the highest common divisor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55759.\nAnswer: 11, 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -386 or 0.305?\nAnswer: 0.305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3009652100.\nAnswer: 2, 5, 7, 13, 330731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1633 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46848 divided by 3?\nAnswer: 15616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 589 - 574. Suppose -l - z = -3*k - 2, l = k - 5. Solve -k*p - 6 + 0 = -u, 0 = -p + 5*u + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -345 + 336. Suppose 3*h = 5*b - 12 - 3, 0 = 2*h - 3*b + 9. What is the nearest to h in 0, m, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1004.5 times 4?\nAnswer: -4018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - j**2 + 5*j - 13. Calculate z(3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w. Suppose w = -2*v + 3*v - 52. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a4c (base 13) to base 14.\nAnswer: 8d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -3, 0.5, -94, -0.1, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 7*k**2 + 12*k + 11. Let z be w(8). Suppose 117 = 6*q - z. Let n = -53 + q. Which is the second smallest value? (a) -6 (b) -0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 3*a + 2. What is r(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 13*a - 257. Calculate t(13).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 0*u**3 + u**2 - 1\/10*u**6 + 2\/3*u**4 + u + 10 + 0*u**5. Differentiate v(j) wrt j.\nAnswer: -12*j**3 + 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 104 - 34 = 0. Let z(c) = 21*c + 35. Let m(k) = 4*k + 7. Let t(g) = -14*m(g) + 3*z(g). Let b(j) = -4*j - 4. Give f*b(i) + 3*t(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*(2*sqrt(50) - sqrt(50)))\/(-5*sqrt(40))*-2.\nAnswer: -5 + 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 3*d - 920 = -917, 5*y + 1 = -d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19827 + 713713\/36. What is the common denominator of d and -119\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 1437*r + 59016. Calculate s(-41).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342*r**2 + 2371*r**2 + r + 2072*r**2 - 3*r.\nAnswer: 4785*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + -7?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen quarters of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.231496 kilograms in milligrams?\nAnswer: 2231496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times 1.6?\nAnswer: -38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 30 = f, 5*g = 2*g + 12. Let z = f - 19. Put 2, 4, z in increasing order.\nAnswer: z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/42 + -1\/6. Sort -5, y, -0.2 in increasing order.\nAnswer: -5, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515461420?\nAnswer: 2, 5, 17, 71, 131, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 - 25*z - 8. Let d be g(-12). Suppose n - 3*n = y + 146, 0 = d*y + 5*n + 575. Let f = y - -333. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, -3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49\/100 + -6\/25. Suppose 0 = -5*g + 3*g + 12. Let y = -1 + g. Which is the closest to 1\/3? (a) 0.2 (b) y (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - -0.3. Let v = -537\/11 + 49. What is the second smallest value in c, -0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 9*q**2. Let z(k) = 5*k**2. Let o(f) = 6*y(f) - 11*z(f). Factor o(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8101689 at least as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95932972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a decade in months?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 780 = -0*v. Suppose -5*y + v = 4*i, -i + 34 = y + y. What is the highest common divisor of 12 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 164*p**3 + 3*p**2 - p + 1. Let t be l(-1). Let r = t - -707. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560962559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 327647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32535 and 144186685?\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010222793 rounded to 6 dps?\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 3)*(-1 - 29 - 17)*(-6427*b - 44*b**4 + 6427*b + (-2*b - 5 + 5)*(3*b**2 - 3*b**2 - b**3)) as w*b**4 + s*b**2 + d*b + h*b**3 + o and give w.\nAnswer: -1974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -143 - 60906.\nAnswer: -61049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 5*f = 14, -f = -5*a - 2366 + 2374 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908886339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172 + 853 + 179 - 1204 - 2*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7682864 is divided by 255.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 7*f + 6. Let c be i(-8). Let r = 20 - c. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddicbsdddssdsidss. Give prob of picking 1 i and 2 s.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10990 + -21979\/2. What is the fourth smallest value in j, -11, -0.1, -0.22?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 8 = -m + 1, 0 = 4*m - 3*q - 29. Let h = -33 + 60. Let t = -2 + h. Calculate the greatest common divisor of t and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1652, 1651, 1670, 1709?\nAnswer: 1768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1015)\/(-1040) - 1)*(12\/9 + 224\/(-240))?\nAnswer: -1\/104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -458 + 223 + 210 - 52*u**2.\nAnswer: -52*u**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/24 and 37\/3305007.\nAnswer: 26440056","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*(-3)\/12*-6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1622656*s**2 - 849829*s**2 + 264008*s**2 + 249215*s**2.\nAnswer: -1959262*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n + 6. Let s be i(-9). Suppose -4*p = 4*o + 116, 4*o - 49 = p + o. Let b = s + p. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 26*r - 137. Let l(p) be the first derivative of -12*p**2 - 2*p - 3. What is the remainder when l(-2) is divided by b(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95251 and 57902?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p - 49*p**2 + 821*p**2 + 132*p**2 - 10*p. Let u(k) = 2*k. Determine i(u(j)).\nAnswer: 3616*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (6 - 93\/12))*198\/693?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/4*(-50)\/35*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - -2488?\nAnswer: 248f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 12*u**2 + 525*u - 26773. What is p(-74)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 380*k - 99*k**2 - 94*k**2 + 188*k**2 to the form j*k + t + i*k**2 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 861*z - 124. Let o(h) = -2584*h + 391. Let p(c) = -7*d(c) - 2*o(c). What is the first derivative of p(w) wrt w?\nAnswer: -859","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/26)\/((-18)\/8)*9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 11 (b) 0.1 (c) 40 (d) -5 (e) -14\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/27 + (-13)\/3. Let b = 56.358 - 55.358. What is the second biggest value in y, b, -1\/33, -4?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 6*s**2 + 3. Let p be v(6). Let a be p + -2*(-3)\/(-2). Solve a*n = 3*n + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1114 - 1109.852. Let x = 3.1 - l. Round x to 2 dps.\nAnswer: -1.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62037040?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*o + 576*o**3 + 18*o - 2210 - 571*o**3 - 10*o to the form g + y*o**3 + s*o**2 + n*o and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117492*a - 119528*a = 164916 for a.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*l**3 - l**2 + 7*l wrt l.\nAnswer: -282*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.039300301 to five dps.\nAnswer: 0.0393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 9*p**2 - 6*p + 5. Is 7 a factor of d(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 12:05 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 6*c**2 - c - 6. Let v be (0 - 1) + -3 + -2. Let j be h(v). Suppose j*p = -p - 4*i + 15, -2*p + 34 = 4*i. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.97 - -6.77. Which is greater: -75 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzb when three letters picked without replacement from zzxzzbzzxzxzzzzzz.\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 0.19 (c) -10151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23861 is divided by 157.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6664 by -60986.\nAnswer: 3332\/30493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 1. Let c = 10 - 13. Let r(y) = 2*y**2 - y - 1 - 2*y - 3*y**2. Calculate c*u(b) + r(b).\nAnswer: -b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11534 - 4942. What is the thousands digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 847961.2 grams to micrograms.\nAnswer: 847961200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3*sqrt(252))**2 - -3*sqrt(112)).\nAnswer: -4536 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2 - 1 - 23*d to f + u*d and give u.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21\/4 of a day?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 2, 5*p + 3*y - 443 = 0. Suppose -2*d = 24*q - 19*q - 41, 0 = -d - 2*q + 19. Calculate the remainder when p is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8.508229 meters?\nAnswer: 8508.229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 7:05 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1856*p - 95602 = 18643 - 1029 for p.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -953\/15 - -193\/3. What is the third biggest value in 12\/11, f, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-5\/2)*((c\/(c**0\/c))\/c*c)\/c)\/(c**(1\/3)*(c\/c**(4\/9))\/c))**(-1) assuming c is positive.\nAnswer: c**(-83\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.59859 + 2.6. Round z to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, v: 4, f: 1, l: 11}. What is prob of sequence ef?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = c + 16 - 14, 6 = -4*d - 3*c. Let n(v) = v**2 + v - 2. Let l be n(-3). Suppose -2*k = 2*k + 16. Put k, l, d in descending order.\nAnswer: l, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-12)\/(-9)*57. Suppose 3*o - m = -0*o. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 14. Let g = -470 + 509. Calculate the least common multiple of g and r.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.0335 + -0.9335. What is the nearest to -0.4 in -1\/5, v, 36, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2 + 442*k - 9640 = 0. Calculate k.\nAnswer: -241, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 4 + 2 - -266. Suppose -10814 = n*i - 272*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8547 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: Suppose 5*v = -p + 2, -5*v = -0*p - 3*p + 6. Let o = v - -3. Suppose 0 = o*s - 6*s + 9. Which is the second smallest value? (a) s (b) -0.4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 2:39 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33488 is divided by 313.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jajqj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 11\/1428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 1, -1, -101055, -2 in decreasing order.\nAnswer: 6, 5, 1, -1, -2, -101055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-252))\/(239\/466767)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4655, -18714, -42163, -74990, -117183, -168730?\n\"Answer: 2*h**3 - 4707*h**2 + 48*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 8:42 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Suppose -10 = -3*x - c - 3*c, -14 = 5*x - c. Let n be ((-3)\/x + -2)*-8. Solve d = -5*u + n*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*l**2 + 3708*l**5 + 424*l**5 + 2660 - 2119 wrt l?\nAnswer: 247920*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 417925 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -311.3 + 292. Round i to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283523.\nAnswer: 227, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.867157um?\nAnswer: 867.157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11287 + 2b93?\nAnswer: -d5e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 55769790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 813193.\nAnswer: 89, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 5. Let p(m) = m - 5. Give -6*p(l) + 7*s(l).\nAnswer: l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.04 - 1.04049. Round r to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*b**2 - 165*b**2 + 83*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108 + 2 - (2 + 1 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -10*p**2 - 7*p + 166. What is m(4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(67\/(-536))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**2 + 14*d - 37. Let r(s) = -16*s - 2. Let n be r(2). Is v(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 9 - 93 = 0. Let a be (-2)\/(-8) - 201\/(-12). Suppose -l*u = -a*u + 1055. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65870 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -155 + 274. Let s = i - 169. Put 2, s, 4, 0 in decreasing order.\nAnswer: 4, 2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1020, 1033, 1056, 1089, 1132, 1185?\n\"Answer: 5*l**2 - 2*l + 1017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 30 = 3*v, -4*f + 3 - 7 = 2*v. Let u(w) = w**2 - 9*w + 12. Let q be u(v). Let d be 2\/q + 15\/99. What is the nearest to 0.1 in d, -4, -2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b - 4*b + b**2 - 3 + 4*b. Suppose -4*a + 6*a = 54. Suppose 0 = -3*f + 5*t + a, 2*f - 17 = -3*t + 6*t. Calculate m(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(14\/9)*b**(-11)\/b)\/(b*(b*b**(-13))\/b)**(2\/53))**28 assuming b is positive.\nAnswer: b**(-133448\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**2 - p**2 - 3*p**2 - 3*p**2 - p**2 + 3*p**2 + (p - 2*p + 3*p)*(2*p - p + 0*p) + 4 + 2*p**2 - 4 + (3 - 2 - 2)*(-15*p - 13*p + 3*p**2 + 31*p).\nAnswer: 2*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 13)*(41975\/511 - 82)*(-917)\/4.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(4\/11)\/(y\/y**3))**(-1\/2))**(4\/29))**21 assuming y is positive.\nAnswer: y**(-1092\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -127, -289, -611, -1147?\nAnswer: -1951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 22. Suppose 1 = y - 6. What is the remainder when y\/(21\/(-6)) + 13 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - c**2 - 2*c - 2. Let j be i(-1). What is the remainder when ((-246)\/12 - j)*-2 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -287745345*w**3 - 72876*w**2 - 76?\nAnswer: -1726472070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17742667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10785 is divided by 54?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - w - o + 159, 144 = 4*w + 5*o. Suppose -4*t + 28 = -3*t - 4*z, 0 = -2*t - z + 29. What is the remainder when w is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**3 - 9*a**2 + 21*a - 8. Let r be h(4). Let s be (-318)\/(-13) - r\/(-702). Let p = -2.6 + 3. Put p, 0.5, s in decreasing order.\nAnswer: s, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 4*l**2 + 3. Let v be j(-4). Suppose 0 = v*o - 2*o - 25. Suppose 294 = -6*x + 9*x. What is the remainder when x is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25680 divided by -36\nAnswer: 2140\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 2:41 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14157681?\nAnswer: 3, 4719227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 3*h = -5*x + 9 + 31, 0 = 5*h + x + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -55680 (b) -7 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/39 or -0.2?\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 4*f - f)*(-4 + 2 + 5)*(-f**4 + 4*f**4 + 0*f**4).\nAnswer: -63*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 3*p**2 + 93*p + 40. What is the lowest common multiple of 27 and s(-11)?\nAnswer: 2133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -2. Suppose -71 = -d - 3*w - w, d = x*w + 50. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/5 - -9) + (10 - 8 - -7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 18 = 19*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33955561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2400.72 to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 5435148853?\nAnswer: -5435148852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2691905.\nAnswer: 5, 103, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -109*w*x**3 + 13*w*x - 2*w + 119*x**3 - 32*x**2 with respect to w.\nAnswer: -109*x**3 + 13*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2943 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 225 + 492. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 + 14*j**2 + 3. Let y be q(-7). Factor -4\/9*b**2 + 2\/9*b + 0 + 2\/9*b**y.\nAnswer: 2*b*(b - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 23. Let m(h) = -481*h**2 + 27 + 4*h + 480*h**2 + 5*h. Let o be m(11). Solve -l - q = 3*l - o*w, 3*l + 5*w = 34 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 18 + (0 - 2) - (570 - 566)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 45\/15*(8\/36 - 1). What is the fourth smallest value in 1, -3, -1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 d when four letters picked without replacement from {e: 1, b: 1, d: 10, z: 5}?\nAnswer: 30\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 955*h + 1964 + 1626 = -2140 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 80 = -25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -1520, 3, 45.\nAnswer: -1520, -6, 0, 3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.069 and -1.\nAnswer: -0.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2654.3 - 2650.3. What is the closest to -1 in -0.5, -53\/5, i, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.46387g in milligrams?\nAnswer: 7463.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176283.\nAnswer: 3, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3539342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 9*m**2 + 8*m + 2. Suppose 2*b - 20 = 3*g, 12*g = 10*g - 5*b - 26. Give x(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-265)\/2*(-66)\/55. Suppose 3*x = 2*x + n. List the prime factors of x.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from ihixihhhfx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.11 - -3.11. Which is the nearest to -1? (a) t (b) -0.4 (c) 4 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -474216*v**3 - 832856*v**2.\nAnswer: -2845296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 11\/100802714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 divided by -2391607?\nAnswer: -67\/2391607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 - -71. Suppose -3*y + 5*x = -p, -y - x + 16 = 2*y. Let f be 1 - y\/7 - 1355\/(-35). Calculate the highest common factor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7389, 7561, 7733, 7905, 8077, 8249?\nAnswer: 8421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 427 - 424. Let n(t) be the second derivative of -5\/3*t**x - 2\/3*t**4 + 0 - t**2 + 5*t. Suppose n(w) = 0. What is w?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 8*n**2 + 7*n + 20. Let c be g(-7). Let p be 30\/(-2)*c\/25. Let m be (220\/(-75) - 2\/5)*p. What is the highest common divisor of m and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 8*f**2 + 8*f + 11. Let k be g(-7). Suppose 320 = k*v - c - 415, 3*c - 200 = -v. List the prime factors of v.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 6:53 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/5 - 29\/20. What is the second biggest value in 3\/4, y, 0.5, 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 16 + 10 = 0. What is the greatest common divisor of 108 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a - 4. Let k(y) = -382*y + 25. Let l(v) = 424*v - 27. Let b(s) = 10*k(s) + 9*l(s). Let q be (3 + 1 - 1)\/1. What is q*b(x) + 5*i(x)?\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i - 16*i - 25*i)*(-118 + 119 - 2*i + 3*i).\nAnswer: -35*i**2 - 35*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 285892903 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 505867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -545043 (base 7) to base 13.\nAnswer: -34554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1539) - (6*(0 + sqrt(1539)) - sqrt(1539)))**2 + 1.\nAnswer: 24621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -34*(-4)\/8 - (1 - 4). Calculate the greatest common divisor of h and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(325) + 1 + sqrt(325))**2.\nAnswer: 20*sqrt(13) + 1297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/30 and 17\/55.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 14 + 32. Is (-669)\/j*(-1 + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 9 = 3*v - 20, -2*v = 4*s - 22. What is the units digit of (-2 + s + 1)\/(45\/10200)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 33*t + 5. Let n be i(5). Let z = 247 - n. Calculate the remainder when z is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2681588893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -186 or -3337\/18?\nAnswer: -3337\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -12. Suppose v*u = 20*u - 6578. Suppose 0 = -2*q - 9*q + u. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57 - (-21 + -1)) + (0 + 6 - (31 - 30)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, k: 1, m: 2, e: 1, n: 1, f: 3}. What is prob of picking 2 f, 1 n, and 1 e?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (226590\/(-165))\/(-91) - (-20)\/22?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-52)\/(-65)*(-130)\/4. List the prime factors of -2 + (-2 - b*2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 - 57 = 25*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16289 is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from mixxyyliyyx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 13550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 45 = 55. Let s(u) = 5*u**z - 2*u - 17744 + 17744. Calculate s(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 11*c**2. Let y(w) = 10*w**2 - 16*w + 16. Let o(x) = 2*x**2 - 3*x + 3. Let n(p) = -16*o(p) + 3*y(p). Determine n(l(t)).\nAnswer: -242*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*z**2 + 6*z**2 - 2*z**2 + (-2*z - 31*z - 67*z)*(-z + 2*z - 2*z).\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 8 - 5 = -2*p, -2*v + 5*p - 22 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -37003153, -37003150, -37003147, -37003144, -37003141?\n\"Answer: 3*y - 37003156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 - 6808*v\/3 - 47558\/3.\nAnswer: -2*(v + 7)*(v + 3397)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvwl when four letters picked without replacement from xvwwlwlvxwx?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.2 - -0.8. Let v = -4.3 + h. Put 0.4, -2\/5, v in decreasing order.\nAnswer: 0.4, v, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 604 and 5519503?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1116, 917, 358, -741, -2560?\n\"Answer: -30*g**3 + 11*g + 1135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.346402 to one dp.\nAnswer: -27.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 444413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*k - 2*k**3 + 0*k**3 + 64*k + 5*k**3 - k**3 to o*k + q*k**2 + l + m*k**3 and give o.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2423521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*u - 166 = -118. Let i(f) = f**2 + 7*f + 1. Let o be i(-7). Which is the closest to -2? (a) o (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -140, 203, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*v**3 - 2\/5 + 2\/5*v + 2\/5*v**2 = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - j**2 + 4*j + 24. Calculate y(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 23 = 3*o, -4*o - o - 3*y + 15 = 0. What is the smallest common multiple of o and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4967?\nAnswer: 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -0 - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 12 = -2*t, -4*s + 1 = t - 0*s. Let y be (-8)\/(-28) + (-82)\/t. Suppose 0*m = -m + y. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x*x**4)*x*x*x**7*x\/(x**(2\/9)*x)*x*x*x**7 assuming x is positive.\nAnswer: x**(133\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-81)\/(-18)*(-8)\/(-6). Suppose -4 = 2*i - p*i. Suppose -i + 3 = o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -717\/2534 - 1\/362. Which is the nearest to 14\/9? (a) 0.05 (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/(-12))\/(1\/9). Calculate the greatest common factor of y and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 9*x**2 + 5*x - 9. Let z be f(9). What is the third derivative of -6*d**2 - 8*d**3 - z + 36 wrt d?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 9 - -3 - 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -49296.05321 to the nearest 100.\nAnswer: -49300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9813 - -12846. Does 44 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -22*(1 + 6\/(-4)). Suppose -10*l + 53 = 173. Let o be ((-162)\/36)\/(2\/l). Solve -c = 4*u - o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2. Let a(o) = -42409598*o. Calculate a(b(v)).\nAnswer: 42409598*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 717*t - 956. Let l(i) = -i + 1. Determine 956*l(v) + z(v).\nAnswer: -239*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*17\/(-272))\/(((-15)\/(-5))\/54)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5779063 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 559 - 492 - 1193 to the form l + u*s and give l.\nAnswer: -1126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/248 and 155\/1575966.\nAnswer: 195419784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence slll when four letters picked without replacement from slslsl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9351 and 1671751.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-7)\/(-28))\/(2\/(-8)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 + 1.7. Which is the closest to 0.1? (a) -0.2 (b) w (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 12178439\nAnswer: 48713756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 p, 1 m, and 1 h when four letters picked without replacement from jhphghmjijpi.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 31*o - 285. Let x be d(-24). Let v = -36 - x. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -649653.\nAnswer: 23\/649653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8303*-5304.\nAnswer: -44039112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 700383595 to the power of 1\/2, to the nearest integer?\nAnswer: 26465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, y: 5, z: 3, w: 1}. Give prob of sequence zzkk.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddx when three letters picked without replacement from {d: 2, o: 1, x: 1, l: 5}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -0.664.\nAnswer: -0.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68095249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 222332 and 6138.\nAnswer: 2000988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(3)*4 - (sqrt(504) - (sqrt(504) + 3*sqrt(504)) - sqrt(504))\/sqrt(8))\/(4*sqrt(864)\/sqrt(6)*-2).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77453*f**2 + 24355*f?\nAnswer: 154906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s - 2. Suppose -5 = -4*b - 1. Let v be k(b). Let m be 1\/3 + 4\/(-3). Which is smaller: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 6 = -14. What is b in 1\/3*b**3 + 1\/3*b - 2\/3*b**p + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -3 (c) -4 (d) -0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 269 + -227. Find the second derivative of 25473 - 25473 - 45*m**4 - x*m wrt m.\nAnswer: -540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pscxiiphpix. What is prob of sequence sc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -6, 24, 60, 102, 150, 204?\n\"Answer: 3*g**2 + 15*g - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2. Let z(q) = 3248*q**2 + 3 - 2834*q**2 - 7 + 4. What is z(b(g))?\nAnswer: 414*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*k - 30 = -107*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u - 44. Suppose -3*g - 5*o - 93 = -o, 0 = 4*g - 2*o + 102. Let z be q(g). Solve 0 = 4*s - 2*s + z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.4, 1, -0.4, -4, -1, 5, 51?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.8 + 14.8. Which is the closest to u? (a) 18 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154783533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 - (-10 - 48) - -35?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 723 = -5*r, 0 = 12*r - 9*r - 5*f - 445. Let c = r - 117. What is the highest common factor of 224 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, o: 3, f: 1, z: 3, w: 2, q: 1}. What is prob of picking 1 i, 1 o, and 1 z?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -0.4. Let a = -434 - -869\/2. What is the third biggest value in 3\/7, a, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 + 5*q + 32 - 20 as y*q + l and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*2\/(-35) + 159\/7. Suppose 0 = t + l - 293. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u = -30. Let l(h) = -h**3 - 5*h**2 + 2*h - 6. Let n be l(u). Let b = n + 8. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16370 - 7*p**2 - 2*p**4 + 16334 + p**4 - 3*p**3 + (-2*p - 2*p**3 + 2*p)*(4*p - 6*p + 4*p).\nAnswer: -5*p**4 - 3*p**3 - 7*p**2 - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 179293 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38696663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25195 divided by -13800\nAnswer: -5039\/2760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661 is divided by 161.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.5, -7\/5, 11, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 16*s + 8. Let p be j(7). Suppose -11*m + 10*m + 32 = 3*x, 20 = 5*x. What is the highest common factor of p and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8893 + 5?\nAnswer: -8888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-7 - -17) + -15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88511 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 14*c**2 - 40*c + 6. Determine i(9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y - 356. Let x(n) = 2*n - 114. Let b(h) = -3*o(h) + 10*x(h). Let a(t) = 4*t**2. What is a(b(l))?\nAnswer: 16*l**2 - 1152*l + 20736","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11454*y + 6*y**2 - 4 + 3 + 2.\nAnswer: 6*y**2 - 11454*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3855552 (base 11) in base 5?\nAnswer: 3202333423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 15, 34, 69, 126, 211, 330, 489?\nAnswer: 694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192144493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 4*s + 6. Let o(i) = -i**2 + 7*i - 6. Let d be o(5). Suppose r = -4*g - 10, d*g + 0 = r - 22. Calculate m(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2264)\/(-849)*((-459)\/(-12))\/3.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 36207?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*o**2 + 16*o**2 + 5*o**2 - 40*o**2 + 0*o**2.\nAnswer: -71*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - t = 2*t - 9, t - 2 = 2*z. Let c be (7\/(-7) - -1)\/(4 - z). Solve c = -4*n - 6 + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*b**5\/9 + 10822*b**4\/9 + 1214074*b**3\/3 - 1327072*b**2 + 306456*b = 0. Calculate b.\nAnswer: -678, 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 159 and 921978?\nAnswer: 48864834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60 + -226924.\nAnswer: -226864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express v + 172*v**2 + 4 - 2*v**3 - 178*v**2 - 2 as w*v**3 + d + q*v + a*v**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 662.\nAnswer: -3\/662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 i when three letters picked without replacement from {i: 3, r: 1, v: 4, j: 7, g: 3}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38790 and 5040.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -20*h**2 - 30988*h - 12392 = 0.\nAnswer: -1549, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 697202 less than 3568?\nAnswer: -693634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10636.7 rounded to the nearest one hundred?\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*d + 30*d - 18*d)*(18 - 14 - d - 6).\nAnswer: -36*d**2 - 72*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p - 5. Let s be g(-10). Suppose 5*y - s = -i, -2*y + 10 = 4. What is the highest common factor of 100 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1 - 1153*u + 13877*u - 3.\nAnswer: 12724*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 8:33 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*k**4\/3 + 20*k**3\/3 - 7*k**2\/3 - 2*k\/3.\nAnswer: -k*(k - 1)**2*(11*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/6*(-564)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krlkfllfulllk. What is prob of sequence fk?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 3320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/3 - 38*i\/3 + 105.\nAnswer: -(i - 7)*(i + 45)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 697 - 609. Let r be 18\/(-24)*10\/6. What is the second biggest value in r, 1, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 7. Let g be o(11). Let n(q) = q**3 + 3*q**2 - 6*q - 5. What is n(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4646 = -135*r - 191. What is the least common multiple of 1710 and r?\nAnswer: 18810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3892 + 3711.53. Let p = 197.519 + x. Let q = p + -17. Round q to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 6*v - 25. Let j(n) = -n**3 + 12*n**2 + n - 3. Let y be j(12). Let w = v + y. Solve -3*a + 1 = -w*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 3*t = -8*n - 13743, 0 = 4*n - 3*t - 54981. Let s = n - 4979. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = 5*r, -4*r - 136 = -381*p + 385*p. What is the common denominator of p and 36\/1793?\nAnswer: 1793","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6) - 8\/(-3). Let v(h) = 4*h**2 + h**3 - 7*h**f - 2 + 4*h - h**2. Is v(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2 = 595*c - 591*c, -7*c = -2*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**2 + 2*d**2 + d**2 + (-3 + 3 - 22*d)*(3*d + 0 + 0) to the form f + j*d + a*d**2 and give a.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.325 - -272.675. Let r = -185 + v. Let s = 87.9999535 - r. Round s to 6 dps.\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a - a + 3*a)*(-4 + 1 + 2) - 3*a - 9 + 9 + 5 - a - 5 to the form i + d*a and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/36945 and -125\/162558.\nAnswer: 812790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(((f*f*(f\/(f\/(f*f*f**(-9)*f))*f)\/f)\/f)\/f))**(-2\/25)*(f*f**(-15\/7))\/f**(-5))**(-11\/6) assuming f is positive.\nAnswer: f**(-6347\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-1)\/(-1))*0\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -99655*f - 806386 with respect to f.\nAnswer: -99655","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 23*x**2. Let g(m) = 147*m. What is g(p(l))?\nAnswer: 3381*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*s + 0)*(-118*s - 2 + s**2 + s**3 + 118*s).\nAnswer: -3*s**4 - 3*s**3 + 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3710609.705 + 12.\nAnswer: -3710597.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1\/3))**(-21)\/(p**0)**42)\/((p**(2\/5)\/p)**48\/(p*p**1)**15) assuming p is positive.\nAnswer: p**(154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 20*t - 28 = -2*t. Let n(c) = 16*c**2 - 2*c + 1. What is n(t)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 - -7)*(-4)\/(-21). What is the closest to 1\/3 in 1\/6, 0, f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*f - 7 - 15, 5*z + 18 = f. Let g be 3\/1 + (-4 - f). Put g, 3\/2, -0.4 in increasing order.\nAnswer: -0.4, g, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328*d + 327*d + 336*d - 1326*d + 333*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**5 - 4890*u**4 + 1551755*u**3 - 52359240*u**2 + 493325100*u - 442512720 = 0. What is u?\nAnswer: -1236, 1, 18, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g**2 - g - 1. Let x be k(-1). Let u(m) = 3 + x - m - m**2 - 6*m. Let c be u(-8). Solve 0 = 3*h - c*h - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54733 + 54737. Suppose 14 = a + 2. Solve -l*b - 4*j = -a, 2*b + 6*j - 6 = 5*j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -140*x**2. Let f(k) = 5490*k. Give f(y(j)).\nAnswer: -768600*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6438 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**5\/12 + 5*a**4\/24 + a**3\/3 - a**2. Is h(4) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 21 + 40*y to a + c*y and give c.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - sqrt(360)\/(sqrt(60)\/sqrt(5) + sqrt(12)))\/(sqrt(360)*-1).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 1037.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 174*b**2 - 4 + 467*b**3 + 7*b**3 + 8*b**2 - 4 + 5 wrt b?\nAnswer: 2844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 14 = 4*s, 5*w - 131 = 13*s - 206 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**3 + 15*o**2 + 3526*o - 21222. Give b(6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52003 - -248427. Suppose r + 564770 = 7*q. Round q to the nearest 1000.\nAnswer: 124000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2980 - 1690. Suppose 3*d = -2*i + 964, 4*d + 7*i - k = 2*i. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1, 17, -0.03, -304?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 12:45 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1198 + -1188. Calculate the highest common divisor of 4 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-37)\/q**(-44) assuming q is positive.\nAnswer: q**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1443 is divided by 53?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 2\/15783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -0.568?\nAnswer: 0.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-14 - -53)\/(2\/6) is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 36076*r**3 - 36084*r**3 + 8*r**2 - 1 - 18*r**2 - 2*r in the form f*r**3 + i*r + q + z*r**2 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25209403.\nAnswer: 23, 1096061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433.8641 millennia to decades.\nAnswer: 43386.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m + 864 - 381 = -4*s + 362, 2*m = -2*s - 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*j**3 - 12868356*j**2 - 17157760*j - 5719248 = 0. Calculate j.\nAnswer: -357453, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/1884552 and 1\/7152.\nAnswer: 3769104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**2 - a - 4 + a - a. Let v(g) = 13*g**2 - 3*g - 13. Calculate -7*i(t) + 2*v(t).\nAnswer: -2*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*-2 - 245\/(-140) - (-33)\/228\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11946, -2, 57 in decreasing order.\nAnswer: 57, -2, -11946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 4*i**2 + 4*i + 2. Let q be y(-2). Suppose -4*z - 4799991 = -3*v, 5 = -v + q. 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: Collect the terms in -4 - 3 + 5 - 41*u**2.\nAnswer: -41*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 52 = -2*m, -5*m - 104 = -4*w + 27. Let h be (-18)\/m*6\/(-4). Is 4\/37 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 26. Let u be i(19). Suppose -8575 = -u*w + 9226. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -5, 2, -3620, -27, -3.\nAnswer: -3620, -27, -5, -4, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 24*b - 724. Calculate y(29).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49*13752\/(-9359)*64\/36.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, z: 1, o: 1}. Give prob of sequence zoo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1111 - -3?\nAnswer: -1108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 238*w**2 + 19*w + 350*w**2 - 3 - 170*w**2 in the form c*w + z*w**2 + h and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/13))**21 assuming k is positive.\nAnswer: k**(-42\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.32 + -0.02. Let y = -263 + 266. Which is the closest to 2\/45? (a) z (b) y (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 8 + (2 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 59777.25 micrometers?\nAnswer: 0.00005977725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v - 7. Let t(w) = w - 1. Let y(q) = -p(q) + 6*t(q). Let r be (-2)\/(-6) - (-26)\/(-6). Let j be y(r). Solve g - 3 = -j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (122\/183)\/((-2)\/18)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -823, -1621, -2419?\n\"Answer: -798*k - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 82599068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(((-5969)\/235 + 25)\/(36\/(-130))*9)?\nAnswer: 48\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, j: 1, o: 3, n: 2}. What is prob of sequence nnj?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 58379125 divided by 6?\nAnswer: 58379125\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2097954 is divided by 4380.\nAnswer: 4314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -810, -750, -684, -612?\n\"Answer: 3*m**2 + 51*m - 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6042 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47833241 to the nearest integer?\nAnswer: 6916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340755514.\nAnswer: 2, 11, 17, 911111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 10:03 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 3. Let d be x(3). Let q be 4\/8 - (1 + d). Let y = 210 + -1468\/7. Which is bigger: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 5:23 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 1089440 = 29*m. Suppose -j = -2*g - 5445, -9*j + 4*j = g - m. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 147 (b) 45 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**4\/24 - c**3\/9 - 34. Factor y(j).\nAnswer: j**2*(j - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 + -206815?\nAnswer: -206802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 2125, 0.3, -1\/2, 3, 0.008?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 584, 317, 2 in increasing order.\nAnswer: 2, 317, 584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + 0*c**3 + 0*c**3)*(2*c**2 - 2*c + 2*c) - 25*c**5 - 13*c**5 + 0*c**5.\nAnswer: -36*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 + 16*x**2 + 7*x - 11. Suppose -2*w + 14 + 2 = 0. What is the units digit of u(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oood when four letters picked without replacement from omdooommummommmo.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/18 and (-1981)\/(-490) - (-4)\/(-10)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28225?\nAnswer: 5, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q + q + 4*q + 3*q - 3*q - q + (2 + 2 - 3)*(3*q - 5*q + 0*q) - 2*q - 3 + 3.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 220*w**2 + 115*w**2 - 10 + 103*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 256729960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2053335734 + -5?\nAnswer: -2053335741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/3*(-45)\/(-2). Suppose -4*i = -6*f + 3*f + 12, b = -3*i - 3*f. List the prime factors of 21\/i*-2 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r - 2 + 3 + r**2 + 2. Let h(v) = -v**2 + 3*v - 2. Let y(b) = -4*h(b) - 3*j(b). Differentiate y(d) wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*p - 4*x, -2*p + 35 = -4*x + 9. Suppose p*d - 72 = 6*d. Let k = d - -199. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118 and 51094.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-276)\/(-84) + -3*4\/42. Solve 2 = -w*i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*h - 58 = 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 276 - 251. Let h be (-156)\/9*45\/(-10). Let l = h + -5. Calculate the remainder when l is divided by b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000083694158 rounded to seven dps?\nAnswer: -0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22942 + 8875. Let a = 668183 + u. Round a to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 7:59 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p - p - p + (9 - 9 - 6*p)*(-124 + 159 - 189).\nAnswer: 922*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37876*r + 5790.\nAnswer: 37876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*s - 5*x + 294, 20395*s - 5*x = 20398*s + 12 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 38 + -5 - (5 + 8) - -13?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, a: 2, p: 3, n: 2}. Give prob of picking 2 c and 1 n.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19428599 is divided by 3238099.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -2, -1, -3 in decreasing order.\nAnswer: 5, 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - b = -1, 3*t - 11 = 5*b - 9*b. Let w be (8\/(-6) + 2)\/(2\/12). Solve t - w = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22120201100022 + -1?\nAnswer: 22120201100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13717868.\nAnswer: 2, 73, 109, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 h when three letters picked without replacement from {x: 1, k: 2, a: 7, h: 4}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 + -125. Which is the third smallest value? (a) -0.1 (b) 0.05 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*j**5 + 17*j**3 - 17*j**3 + (2*j**3 - 4*j**2 + 4*j**2)*(6*j**2 - 3*j**2 - j**2).\nAnswer: -7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + n = -53303, 10*u - 12*u - 4*n = -53318. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133, 280, 429, 580, 733, 888, 1045?\nAnswer: 1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b47 (base 12) in base 13?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22113 and 5733?\nAnswer: 154791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -638.\nAnswer: -636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -36863?\nAnswer: 36867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2202 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**3*y**5 + 2*v**3*y + 19332*y**4 - 414*y**2 - 31*y + 2 wrt y.\nAnswer: -60*v**3*y**2 + 463968*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 4)*(4*s - 2*s - 3*s) + 39*s - 14*s + 71*s - 7*s + 19*s as m + b*s and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1150 - -1149.925458. What is i rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 69*z**2 - 127*z + 462. What is c(-67)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**21\/f*f**(-33)\/f)\/(f**33*f*f**(-7\/6)))**(-2\/11) assuming f is positive.\nAnswer: f**(281\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**5\/20 + k**2 + 4. Let o(t) be the second derivative of x(t). Let z(g) = 0*g**2 - 3*g**2 + 4*g**2. Give z(o(b)).\nAnswer: 9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*m**4 + 74141309*m**2 - 337719892.\nAnswer: -20*m**3 + 148282618*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73793 - 68350 + 130165 = 1474*h for h.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91734.59 meters in kilometers?\nAnswer: 91.73459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -650, 0, 0.0857, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 5*l**2 - 14*l + 4. Let f be p(7). Solve 2*r - 2 = f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 125 + 139 = 0. Let j(d) = 3*d**2 - 17*d + 2. Let s be j(y). What is the highest common factor of 15 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -8, -t - o + 11383 = o. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 80.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2.25. Let q = 0.05 - c. Let d = -2 - -2. What is the nearest to -2\/7 in 3\/8, q, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55985306 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5723 and 10?\nAnswer: 57230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -5. Let l = -23.017 + 0.017. Is l != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: c (base 14) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2701 - 2584. Let d = 163.359771 + -280.359888. Let z = d + g. Round z to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g - 2324 + 2390 = 0. Solve c + 11 = g*y, -4*c + 3 + 3 = -2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -66\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-3 - 4) - (4 - 14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -12*i**5\/7 + 213*i**4\/7 + 2034*i**3\/7 + 3495*i**2\/7 + 750*i\/7 = 0.\nAnswer: -5, -2, -1\/4, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -5*y**4 - 92*y**3\/3 - 68*y**2 - 64*y + 377. Factor d(v).\nAnswer: -4*(v + 1)*(v + 2)*(5*v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 6 = 2*w, 4*v - 2*w + 5 - 31 = 0. Let k be 1 + (-289869)\/(-54) + v. Let c = -5371 + k. Calculate the common denominator of c and -65\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28580537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o - 38*o = -70. Suppose -4*h = o*h - 5*h. Which is bigger: h or 2\/221?\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664631.\nAnswer: 11, 23, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8993963 to the nearest integer?\nAnswer: 2999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 0*h**2 - 3\/20*h**5 + 0*h + 2 + 3\/16*h**4 - 1\/12*h**3 + 1\/24*h**6. Factor w(q).\nAnswer: q**2*(q - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -0.1, -2\/3, 13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h - 1. Let f(p) = -4*p. Suppose 2*o - 43 = 13. Suppose 0 = 15*j + 73 - o. Give j*f(g) - 2*u(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*((-15)\/(-20))\/(150\/80). Let k be 0\/2 - (-6)\/3. Suppose 4*h + f + f = 10, 5*h - 17 = k*f. Solve c*v = h + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4827 and 59230508?\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, n: 4, z: 6}. Give prob of sequence bnnb.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1283.2835816 and -5?\nAnswer: 1288.2835816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, -0.2, -3\/4, -123.716?\nAnswer: -123.716","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**3\/3 - 15. Let t = -6 - -8. Let s(y) = t - 2 - y. Give h(s(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 141 + -703\/5. Let t be (14\/2)\/(-56)*24\/8. Let z = -37\/78 - -4\/13. What is the nearest to 5 in z, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.56, -1\/39, -0.2, -1, 36, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -9 + 23 - 12\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 + -58. Let j be (-5)\/(-25)*(z\/12 - 2). Let x = -8\/77 - 2\/11. What is the closest to j in 6, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, s: 3}. What is prob of sequence soo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 2 - 6)*((-c - 2 + 2)*(3*c**4 - 5*c**4 + 0*c**4) - 3*c**5 - 3*c**5 + 5*c**5).\nAnswer: 16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, f: 1, v: 2, k: 1}. What is prob of sequence vkh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5777 = -42*a + 2509 - 642. Calculate the lowest common multiple of 602 and a.\nAnswer: 7826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -1 (c) -2\/11 (d) 2 (e) 0.5 (f) 425\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -1588429*s. Let n(o) = -80*o. What is n(x(l))?\nAnswer: 127074320*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 7:11 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 + 5*z + 3. Let q(g) = -11*g**2 - 11*g - 7. Let d(r) = -6*q(r) - 13*x(r). Determine d(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-31784)\/(-24) - (-8)\/(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-90) - ((-12)\/(-5) - 2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 8 = -960. Let y = -133\/2 - h. What is the nearest to -1 in -1\/2, y, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2. Let l be 7 - 4 - (-1 + n). Factor -1\/3 - 1\/3*f**5 - 2\/3*f**3 + f + f**4 - 2\/3*f**l.\nAnswer: -(f - 1)**4*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 19 (b) -29 (c) 47 (d) -2\/3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*f + 1 - 1)*(5 - 2 - 8*f + 9*f) in the form y*f**2 + s + b*f and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16522 and 88520?\nAnswer: 731263720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*r + 28 = 65*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - 2. Let r = 7 + g. Solve r*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/2 - 6063*l**2\/2 + 1521000*l + 10796058.\nAnswer: 3*(l - 1014)**2*(l + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291623034?\nAnswer: 2, 3, 48603839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**4\/24 - 62*h**2 + 2. Let b(p) = 9*p**2 + 36*p. Calculate b(t) + 36*u(t).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**3\/2 - q. Let o(l) = l + 1. Let k(m) = -10*m - 5. Let x(n) = -k(n) - 6*o(n). Let s be x(1). What is w(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 6:46 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**3\/3 - 3*a**2 - 5*a + 24. Let n = 16 + -9. Let c = n - 13. Give v(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 408 and 11105.\nAnswer: 4530840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/237 + -703\/948. Which is bigger: -0.3 or n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5045998 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 23*n - 228. Let b be m(10). Factor 0*f + 2\/5*f**3 + 0 - 4\/5*f**b + 2\/5*f**4.\nAnswer: 2*f**2*(f - 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(45)\/sqrt(5)) - (sqrt(117) + 2*sqrt(117))\/sqrt(9))*-6.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**4 - 2*s**4 + 3*s**4 + (-s**3 - 3*s**3 + 6*s**3)*(0*s + s + 0*s) + 5*s - 11*s + 4*s + s**4.\nAnswer: 4*s**4 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**5 + j**5 + 3*j**5)*(3 - 1 + 0) - 3*j**4 + 5*j**5 + 3*j**4 + (-2*j - 1 + 1)*(0*j**4 + 4*j**4 - 3*j**4).\nAnswer: 5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*v - 6*z - 876 = 1382, -145 = -2*v + 2*z - 139 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - h - 19, -d - 3*h + 48 - 27 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 5063419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -315*-1759.5.\nAnswer: 554242.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/3195 and -113\/66021480.\nAnswer: 66021480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55668.17 microseconds to milliseconds.\nAnswer: 55.66817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 1089397240.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + -15 + -12 + -7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 4290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 5483 = -3*l + 5503, 2*p + 28 = 5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 249233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65990382?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/9797387 and -22\/330249.\nAnswer: 29392161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/(-14) + (-15)\/35. Suppose v = 6 - t. Suppose 5*g = -y + 14 + 71, v*y - 215 = 5*g. Calculate the highest common factor of y and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*b + 20 = 0, -7 = o - 5*b - 1. Suppose -3*d = -5*d + 2. Let w be (-2)\/d*(-30)\/o. What is the highest common divisor of w and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 98 + -84. Suppose 0 = d*v - 78 - 90. Solve 4*n = 4*m - n + 20, m - 3*n = -v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.643 to 2 dps.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11001309257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/99528 and 12\/5?\nAnswer: 497640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4*-42426834\nAnswer: 169707336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 28*d + 26. Let m be f(27). Let r(h) = 34*h**3 - 2*h**2 - 2*h - 1. What is r(m)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 10940, 4, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16816 and 7363306?\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 2*b**2 - 4*b - 62. Let w(i) = i**2 + 5*i - 5. Let o be w(-7). Is 8 a factor of r(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*b + 3, -4*i - b = -2*b + 13. Let x = -6 - i. Is (-2)\/4 - 71\/x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 4. Let n(g) = -g**2 + 6*g - 4. Let y be n(4). Let k be j(y). Solve -1 = -5*q - 4*x, -k*q - 4*x + x = -1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.45 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135 - 416. Let w = 497 + o. Calculate the greatest common factor of 24 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (23\/(-46))\/(-2 + (-9)\/(-6)). Let h = -29 + 15. Let k be (-4)\/h - (-2)\/(-7). Which is the second biggest value? (a) -1\/5 (b) k (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/143230 and 193\/420.\nAnswer: 6015660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 826 - 698. Calculate the remainder when g is divided by 53.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 1426624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -5, -1\/2, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 27 = -5*y + r, 0 = -y + 3*r + 11. Let f(j) = -j**2 + 3*j + 3. Let v be f(y). Let c(x) = 13*x - 7. Let p(z) = 9*z - 5. Give v*p(i) + 5*c(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 8. What is i(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c - 8 = -20*c - 5*y, -2*y = 2*c - 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(8\/9))\/y**(-16)*(y**1\/y)**40 assuming y is positive.\nAnswer: y**(161\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2033*z = 2114*z - 2754 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -18172 in decreasing order.\nAnswer: 4, 1, -18172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (40*152\/256)\/((-28)\/112)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 - 141*i + 529. Give p(-78).\nAnswer: -641","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:37 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.38116 - -0.08?\nAnswer: -7.30116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -3. Let u = -595\/3 + 197. Which is the biggest value? (a) 1 (b) 0 (c) x (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 12:27 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175198 is divided by 2467.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -694 + 2*c**4 + 2077 - 154*c**2 - 689 - 693 - 11*c as h*c + v*c**2 + n*c**3 + r + q*c**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/9)\/r*r**(2\/47))\/(r*r**11\/r)**(3\/19) assuming r is positive.\nAnswer: r**(-20761\/8037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 31197680?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 34, -60.9, 3\/4?\nAnswer: -60.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3069, -6058, -9047, -12036, -15025, -18014?\nAnswer: -21003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 >= 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (2 + -1) - 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -21, -39, -55, -63, -57, -31?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8490 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18 + 702\/36)*(-4)\/6*-2. Let r be -6*(-2)\/(-3) + 1. Let s be -3 - r - (-1 + 0). Put s, 4, 3, d in descending order.\nAnswer: 4, 3, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/230157 and 1\/9?\nAnswer: 230157","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + -3531?\nAnswer: -3545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31996 or -31997?\nAnswer: -31996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(-2*y + 0*y + 0*y)*(7 - 9 - 6)*(3*y**2 + 3*y**2 + y**2).\nAnswer: -112*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1169, 4817, 10945, 19553, 30641?\n\"Answer: 1240*d**2 - 72*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(110)\/(sqrt(10)*-2)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*8)\/((-2)\/(-4)*2). Suppose 0 = -4*g - 0*g - 4. Let j be ((-14 + -2)\/(-8))\/(-3 + 5). Put j, m, g in ascending order.\nAnswer: g, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - -2*(-2 + sqrt(612)))**2 + -1 + 4.\nAnswer: -144*sqrt(17) + 5527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 9:40 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 22*m**2 - 6*m - 2. What is the tens digit of q(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2844*f**6 + 1951*f**2?\nAnswer: 341280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 84 + 47 - 2*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -362860.6 to the nearest ten thousand.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 486072 > 486073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddwkdlkkld. What is prob of picking 2 k and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474 is divided by 67?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 17*l**2 + 1702*l - 7008. Determine q(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -38533 (base 9) in base 15?\nAnswer: -7a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 445693?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 5:57 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.3, 0.2, 4 in ascending order.\nAnswer: -0.3, 0, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -477*c**3 + 53*c**2 - 53*c - 53. Let w(o) = -o**2 + o + 1. What is l(u) + 53*w(u)?\nAnswer: -477*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 130*s*v**5 + 2*s*v**4 - 2*s*v**3 + 2*s*v**2 + 5*s*v - 41*s wrt v.\nAnswer: 7800*s*v**2 + 48*s*v - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(704) + sqrt(704))**2 - sqrt(11))*-3.\nAnswer: -2112 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18, 31, 38, 39, 34?\n\"Answer: -3*t**2 + 22*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, k: 16}. Give prob of sequence kkkk.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.6 - -0.6. Let c be (-225)\/(-315) - 32\/35. Put c, a, -0.3, 2 in descending order.\nAnswer: 2, c, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9237002059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 277*s - 4529. Let h be x(12). Let i = 2286 + -588. Let t = h + i. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 50 = 2*l + h, 24*l - 112 = -3*h - 32 + 76 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 498 and 0.0969826.\nAnswer: 48.2973348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23.1 - -22. Let k = 2.1 + d. Which is the third biggest value? (a) 4\/9 (b) k (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61016 and 232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrlhyh. What is prob of picking 1 y and 1 r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 14 = 4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 6:09 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-h + 4*h - h)*(-11 + 3 + 4) + 3*h - 1 + 1)*(-1 + 1 + 1).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, 5\/4, -75, 92, 1 in decreasing order.\nAnswer: 92, 5\/4, 1, -0.9, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Let h = w + 0. Which is smaller: 1\/5 or h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 11. Put m, -4, 5 in increasing order.\nAnswer: -4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 12*d - 15. Let j(y) = -296*y - 1763. Let t be j(-6). Determine a(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*(56\/32)\/7)\/((-6)\/7).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1923\/59, -5, 2.8?\nAnswer: 1923\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71921469 and 12.\nAnswer: 287685876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -167450 - 1?\nAnswer: -167451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**3 + 2*j**2 + j + 2. Let i(v) = 3*v**3 + 3*v**2 + v + 3. Let d(y) = 3*h(y) - 2*i(y). Give d(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -429*t**3 - 9*t**2 - 1 wrt t.\nAnswer: -2574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, -4, 4, -263, -1\/31?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 15*f = 4. Suppose -3*u = -f*v - 1241, -4*v - 1009 = -4*u + 647. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*n - 920, -n = -5*k - 118 - 136. Let y = -131 + n. What are the prime factors of y?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = -b. Let d(j) = -4 - j + 1 - 6*j**2 + 7*j**2 - 2. Let n be d(b). Solve 0 = -3*v + 2*p + 7 + 6, 2*p + n = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*14\/(-700)*8?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 4:54 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -6.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 0*r + r + 4*r + 10 - 3. Is 8 a factor of s(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 8597400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3*k - 2)*(3 + 4 - 6)*(-4 + 4 + k) in the form s*k**2 + d + c*k and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, 1\/121, 0, 0.1, -271 in decreasing order.\nAnswer: 0.1, 1\/121, 0, -5\/2, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 2*b + 1165*b**3 - 2777*b**3.\nAnswer: -1612*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a. Suppose 0 = 21*l - 13*l - 16. Let b(n) = -21*n**l + 34*n**2 - 24*n**2. Give b(s(m)).\nAnswer: -176*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 3:52 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 49*i**2 + 27*i**2 - 5 + 18*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*p - 13 = 4*m, 3*m = -12. Suppose j + 4 = 0, -4*y - 5 = j - 17. Suppose -18 = -y*z + 6*l - 4*l, 0 = -3*z + l + 12. Is z != p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6.346755 nanograms?\nAnswer: 0.000000000006346755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + n**2 + 1. Let m(d) = -2*d**3 + 17. What is m(l) - s(l)?\nAnswer: -l**3 - l**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fu when two letters picked without replacement from {p: 1, f: 2, h: 1, u: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/((-28)\/(336\/(-9)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*k + 6*m, 5*k + 194*m - 189*m - 5 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -7. Suppose 8 = -0*p - 4*p. What is the units digit of (-4)\/(-1) - m - p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 4*j**2 + j**2)*(0*j**3 + 2*j**3 - 3*j**3) - 34563*j - 106*j**5 + 34563*j.\nAnswer: -105*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43778219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 4:56 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2646)\/3510 + -3*2\/(-39)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 34.382272783 and -12.\nAnswer: 22.382272783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v**2 + 6*v + 8. What is the hundreds digit of d(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39.583 - -13.733. What is z rounded to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/7, 1\/2, -0.2, -2, 4.\nAnswer: -2, -8\/7, -0.2, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (260\/4095)\/((-2)\/3)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*9*((-5824)\/(-288))\/(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 1:14 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*c - 65. Calculate the remainder when c is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -8*a + 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -312 (b) -2 (c) 3\/7 (d) -16 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 69 + 356 = 0. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/18)\/((-4)\/72)*2. Let h = 19 - 5. Suppose 2*d - 5*a + h = 0, -d = -4*a - 1 + 14. Solve 0*i - d*i = t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ciciici. What is prob of picking 3 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15169*r = -15182*r + 455 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -2232.\nAnswer: 2231.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6*c**3 - 252*c**2 + 1023*c + 5. Determine k(4).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 11.6.\nAnswer: -4.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.65265 micrograms to milligrams.\nAnswer: 0.08065265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-3 - 1 - 1)*(-22*l + 22*l + 6*l**4).\nAnswer: 30*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -515242424 (base 6) to base 7.\nAnswer: -135632431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand x + x - 4*x - 3 + 3 + x + (0 + 1 + 1)*(-1 + 1 + x) + (1123 - 252*x - 1123)*(-2 - 2 + 0).\nAnswer: 1009*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**4 + s**2 - 3*s**2 + 3*s**2)*(-4*s - 2*s + 4*s).\nAnswer: 6*s**5 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171)*1*1 - sqrt(171)))\/(sqrt(9) + sqrt(576)\/sqrt(4)) + (sqrt(304) + -5 - ((sqrt(19) - 2*sqrt(19)) + sqrt(19) + -4)).\nAnswer: -1 + 21*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - g + 10 = -55, -p + 34 = -4*g. What is the greatest common factor of p and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29\/14 - -4\/7. Let m = 0.54 + 4.06. Let l = -0.4 - m. Which is the nearest to 0? (a) 1 (b) l (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*(h\/h**(-7))\/h))\/h)**(-22) assuming h is positive.\nAnswer: h**176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/5 in 8, 0.5, -28, -0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1364068.\nAnswer: 2, 341017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -15*i**3 - 3*i - 13. Let s(y) = 14*y**3 + 2*y + 12. Let k = -31 + 33. Let v(q) = k*d(q) + 3*s(q). Differentiate v(c) with respect to c.\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-6)\/(-4) - -6. Let o be 6\/(k\/(-6) + -1). Sort o, -5, 0 in increasing order.\nAnswer: -5, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001111011 (base 2) to base 10.\nAnswer: -2683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o. Let d(l) = 8*l - 3. Let p(m) = 4*a(m) - d(m). Calculate p(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*d + 19*d - 20. Which is the closest to 0? (a) d (b) 2 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**(-2)\/x)*x))\/(x\/((x\/(x*x\/x**2))\/x*x))*(x**(-3\/4))**15 assuming x is positive.\nAnswer: x**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -293 by -3968.\nAnswer: 293\/3968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4711 and 12?\nAnswer: 56532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135372026.\nAnswer: 2, 67, 89, 11351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - -7. Let p(g) = 7*g - 1. Let f(k) = 8*k - 2. Let z(y) = -4*f(y) + 5*p(y). What is the remainder when z(9) is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) -69731 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/(34\/408)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4311 times -37?\nAnswer: -159507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 4:17 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -1, 3*d - 2*b + 0*b = -22. Is ((-12)\/d)\/((-1)\/(-6)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 817764.1 milligrams in tonnes?\nAnswer: 0.0008177641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (5 - (-8 + (5 - -6))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -123265 (base 7) to base 10\nAnswer: -22783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 + 6829007*g - 46635336606049.\nAnswer: -(g - 13658014)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22564106 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 14\/397777 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 2*v**2 + 10*v + 28. Let x be g(0). Solve -5*d - k = -16, -4*d = -5*k - x - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 810, 2768, 4726?\n\"Answer: 1958*g - 1148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51.23533 + 0.398253.\nAnswer: -50.837077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**4)**(1\/11) assuming m is positive.\nAnswer: m**(-3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8268.34 years in millennia?\nAnswer: 8.26834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 1. Let o(k) = 3*k - 17. Let g be o(5). What is the smallest common multiple of s(g) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -21. Let s be (0 - 1)\/(5\/b). Suppose -2*y + o + 2 = 0, 5*y + 0*y - s*o - 3 = 0. Solve 3*c = -2*x + y, 0*x + 4 = 4*c - 4*x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10197 divided by -9\nAnswer: -1133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 33 (b) -11.1 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16\/23, 0.1, -9, -0.3, 3\/8, 634\/63, -2?\nAnswer: 634\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t - 16 = 4*c, -5*t + 2*c = 6. Let x be (t\/(-3))\/(5\/3). Is x > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25652 is divided by 247.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + 18*y + 36 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*f - 16, 0 = 4*f - 5*g - 8 + 2. Suppose -c = t - 6, -c = 3*t - f*c. Suppose -2*u + t*u = 6. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21794*b**2 + 5123 - 5123.\nAnswer: -21794*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6169 at most 6170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -888*v + 8017 = -10631 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 + 87. Let a = -6 + 11. Solve a*g = y*g - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -496859 divided by 11.\nAnswer: -45169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103225 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/5 + 1034*z**2\/5 - 2092*z\/5 - 8304\/5.\nAnswer: 2*(z - 4)*(z + 2)*(z + 519)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/9 - 970*j**2\/3 - 123366*j - 37198394\/9.\nAnswer: -2*(j + 37)*(j + 709)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 7 + -9 - -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4507 = 173*u - 4853 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 27648*z - 193534. What is j(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -166 - -91. Let v be g + (2 + 1)\/(-3 + 2). Is -78 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 + 522?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 30. Let y be w(0). Suppose y - 11 = t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(208) - sqrt(208))*3*4 + (0 + sqrt(208)*-2)*6)**2.\nAnswer: 1152*sqrt(13) + 30096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 0 - 1\/2*i**2 - 1\/2*i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*o - 7 - 7*o + 6*o + 4 in the form m + r*o and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l. Let q(n) be the third derivative of -n**4\/2 - 10*n**2. What is y(q(o))?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37437845 is divided by 28362.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 1\/3, -1\/9, -1\/11, -4, -23?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -13185*h - 3981847. What is i(-302)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -154 - -221. Suppose z = -5*f + 217. Let y be 44\/3 + (-2)\/(-6). What is the greatest common factor of y and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from {b: 9, x: 4, s: 1}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2000\/(-12))\/(4\/(-8160)). What is a rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.95 + -4. Let q = 0.02 - c. Let z = 0.123 - q. Round z to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 72 = 4*o - 6*f, 4*f - 12 = -2*o. Let m = -411 + 605. Suppose o*y = 12*y + m. What are the prime factors of y?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-3)\/15)\/6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(880\/(-4))*(-66)\/12.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 4*b - 28 = 0, 0 = 250*b - 303*b - 212 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((-1 - 6) + 5 + 10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29567445.\nAnswer: 3, 5, 43, 45841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 0.1 (c) 3 (d) -1\/5 (e) -2\/7 (f) 12.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17547 is divided by 1089.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4387919 is divided by 10782?\nAnswer: 10427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**9\/252 + 11*r**5\/60 + 5*r**2. What is the third derivative of v(d) wrt d?\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1833730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g**3 + 3*g**3 + 2*g - 14*g**3 - 1)*(-58 - 38 - 47) to l*g**3 + p*g + y + f*g**2 and give l.\nAnswer: 1573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + z + 13)*(2 + 4 - 12)*(-13*z**2 + 11*z**2 - 17*z**2).\nAnswer: 114*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v - 81*v - 6084 = 11*v for v.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1598*t - 1593*t - i - 503 = 0, -2*t = 2*i - 194. Calculate the highest common factor of 1520 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*z - 1 + 36, 2*z + 4*x = 14. What is the highest common factor of 63 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 198151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + 2 - 2)*(-14 - 10 + 1) + (-2*s + 1 - 1)*(-4 + 3 + 3) + 0 - s + 0 - 2*s + s + 3*s to the form h*s + y and give h.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -241459388\/19 at least as big as -12708388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*s + 57*s = -11998. Let t = s - 889. Is t a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -1. Which is smaller: -25 or y?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49*j - 2873 + 81*j - 5*j + 242*j wrt j.\nAnswer: 269","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 1) + 2 - 1. Let z(t) = 27 - 15 + 10*t - 12. Let o be z(r). What is the highest common divisor of 4 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-250)\/2125 + 1942\/((9 - -25) + 0)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9658878 is divided by 2744?\nAnswer: 2742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3709 and 19155827.\nAnswer: 19159536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (32\/(-10))\/(6\/(-180))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 16*g + 67. Let o be t(-8). Suppose 4*u + 5 = -k, k - 1 = o*u + 1. Let w(c) = 7*c**2 - 2*c - 1. Give w(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84825 + 14*m + 8*m - 36*m + 12*m + 84807.\nAnswer: -2*m - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/19)*d*d\/(((d*d*d\/d**(-2\/7)*d*d)\/d)\/d))**(-40))**(-47) assuming d is positive.\nAnswer: d**(-84600\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 438, 439, 442, 447, 454, 463, 474?\n\"Answer: h**2 - 2*h + 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*d = -56*d - 180. Solve 96*i - d = 87*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59239.2336 - 565.9236. Let s = x - 58841.3099854. Let c = -168 - s. What is c rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.67785048 to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -3 + (-48)\/(-6). Suppose -7*l + 64 = o. Calculate the least common multiple of 34 and l.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + -1 - (3 - -39)\/(-6). Determine l, given that 408*l**2 - l**3 - 7*l**q + 4*l**3 + 239881 - 5437*l - 8435*l - 82665 = 0.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1781124 and 66.\nAnswer: 19592364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 1 - (-23 + 35 + -15) - -5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22542644 to the nearest integer?\nAnswer: 4748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**4\/12 + p**3 + 9*p**2\/2 + p. Let d be z(7). Let b = -16 - -26. What is the highest common factor of d and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/3 - 1562*r\/3 + 252148 = 0. What is r?\nAnswer: -1119, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1371, 24509, 63073, 117063, 186479?\nAnswer: 271321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 0 - (-13 + (6 + 11 - (-9 + -52)))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 13*c + 8. Let w(x) = -5*x - 3. Let j(u) = -3*u + 9. Let g be j(4). Let f(b) = g*o(b) - 8*w(b). Let z(v) = -6*v - 1. What is -14*f(k) - 2*z(k)?\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4.3, -0.3, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u. Let l(f) = -124*f + 34. Let j(o) = 4*i(o) - l(o). List the prime factors of j(4).\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15189*w**4 - 841*w**3 - 20988774*w wrt w.\nAnswer: 182268*w**2 - 5046*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -10.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-182))\/(805\/(-455))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 8*c**4\/7 + 12674*c**3\/7 + 3160*c**2\/7 - 12674*c\/7 - 3168\/7 = 0.\nAnswer: -1584, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2220179.\nAnswer: 13, 67, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 862368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 5*h - 0*h. Let v = 44 - h. List the prime factors of ((-3)\/(-3))\/(2\/v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-5)*1\/((-108)\/1440).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -19930 divided by 2\nAnswer: -9965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34709691 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10 = -0*c. Let g(l) be the first derivative of -l**2\/2 + 5*l + 70. Let i be g(c). Solve u = i*u + 2*s - 10, 15 = 5*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 + 3*t**2 - 4*t**2)*(t**3 - 7*t**3 + 0*t**3) - t**2 - t**5 + t**2 + (-t + 1 - 1)*(2*t**2 - 2*t**4 - 2*t**2).\nAnswer: -11*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2339*l*w**2 + 30*l*y**2 + 167*l*y + 3*w**2*y**2 - 50*w**2*y - 4372*y**2 wrt l?\nAnswer: 2339*w**2 + 30*y**2 + 167*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 17*w + 52. Let k = -5 - -13. Calculate the remainder when h(-7) is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c. Let y(i) = 5*i - 2*i + 4 - 2. Let h(k) = -13*k - 9. Let u(f) = 10*f - 2. Let m be u(2). Let s(z) = m*y(z) + 4*h(z). Determine b(s(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 - -4?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -935 - -937. Let v = -37 + 36.5. Let b = -6.4 - -6. Put 5, v, t, b in decreasing order.\nAnswer: 5, t, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 21*v + 4 - 2 + 1 - 4. Give i(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**3\/2 + 27*j**2 - 144*j + 240 = 0.\nAnswer: 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/6)\/n)\/n*n**(-1\/10))\/(n**5\/((n*n**(1\/2)*n*n*n)\/n)))\/((n**(-3)\/n**(-1))\/((n*n*n\/n**0*n)\/(n\/(n**(1\/6)*n)))) assuming n is positive.\nAnswer: n**(41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 14198722821 from 0.1.\nAnswer: -14198722820.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/175486 and -61\/41414696.\nAnswer: 41414696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 68742.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8951 and -86.07.\nAnswer: -770412.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -5*y**4\/6 + 7*y**3\/3 + 6*y**2. Let p be 8 + 0 - 2\/(-4)*6. Let m(b) = -7*b + 5. Determine p*m(h) - 4*o(h).\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 3, -4, -307 in increasing order.\nAnswer: -307, -4, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/9*18\/(-8). Let p be 126\/(v + -4) + -2. Suppose -3*k + 5*z + 51 = -k, -5*z + p = 2*k. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 4:22 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -7*u**6\/15 + u**3\/3 + 10*u. Find the second derivative of v(q) wrt q.\nAnswer: -168*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1496 and 2023.\nAnswer: 178024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 + 2*v - 1. Let y be n(1). Suppose -t - s + 4 = 3, -5*t = -2*s - 12. What is the closest to t in y, -1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1278\/5*f**2 + 2\/5*f**3 + 0*f.\nAnswer: 2*f**2*(f - 639)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -626696 divided by -11191\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 126543 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83931043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67078 is divided by 444?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13*(-1)\/7 + (-33010)\/231070\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*a - 32*a. Suppose -10*v + 12*v - 6 = a. Suppose v*s + s = -12. Let k(q) = 2*q + 4. Give k(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 * 0.2\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*x + 73*x = 0. Let m(d) be the second derivative of 1\/48*d**4 + 0*d**3 + 0 + x*d**2 - 2*d + 1\/80*d**5. Find k such that m(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 4767288?\nAnswer: 4767288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 35641*g**3\/6 + 70024*g**2\/3 - 5030*g\/3 + 8\/3 = 0.\nAnswer: -4, 2\/1229, 2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3 - 13*v + 0 + 19*v. Let l(h) be the first derivative of 19*h**2\/2 + 8*h - 4. Let q(t) = 3*l(t) - 8*o(t). Let a(u) = -2*u. Give a(q(m)).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 30*p + 3. Let v be c(3). Suppose -3*h - v = -315. Let f = 104 - h. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75855\/(-2379) + 32)*8\/(-28).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -28*t**4 + 71632*t**3 - 1723216*t**2 + 240960*t + 5838336 = 0.\nAnswer: -12\/7, 2, 24, 2534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 7:03 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1216) + 0 + (5 + sqrt(19) + sqrt(95)\/sqrt(5) - sqrt(19)))**2.\nAnswer: 162*sqrt(19) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*d + 32. Let k = 8 - d. Let b(r) = r + 0*r + k*r. Let z(j) = 7*j. Determine z(b(n)).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 206?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2737*g**2 - 56*g + 28. Let i(x) = 304*x**2 + 6*x - 3. Calculate -28*i(c) - 3*v(c).\nAnswer: -301*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 4, q: 3, p: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, -356, -529, -688, -827, -940, -1021, -1064?\nAnswer: -1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3 (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*v. Let i(g) = -498*g + 1. Let a(d) = 299*d - 1. Let h(z) = -5*a(z) - 3*i(z). Give h(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -414214?\nAnswer: 13\/414214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8162189\/80 - 102026. Calculate the common denominator of z and -9\/280.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15216 - -11?\nAnswer: 15227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1060 - 4?\nAnswer: -1064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*a + 10*a - 13*a)*(-2*a + 48*a + 35*a**2 - 1 - 36*a**2) to t*a**3 + w*a + u + m*a**2 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6694346, 13388692, 20083038, 26777384, 33471730, 40166076?\nAnswer: 46860422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -136 smaller than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iijiijiiiiii. What is prob of picking 3 i?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -80226 divided by -1697?\nAnswer: 80226\/1697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32429 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5588?\nAnswer: 2, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b + 4*k - 85, 0 = -2*b - 3*k - 170. Let j be 110\/(-12)*(-55 + 46). Let t = b + j. What is the fourth smallest value in -0.5, -3, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -31*x**2. Let b(r) = 40*r + 45*r - 86*r. Calculate b(q(n)).\nAnswer: 31*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 10*k = 10. Let r = -6 - -9. Determine u so that r*u**4 - 3*u**4 - k*u**3 - u**4 - u**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -153*t**2 + 4439*t - 55. Let u be r(29). What is a in -8\/5*a**2 + 0 - 2\/5*a**u + 2*a = 0?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000904076 rounded to 7 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197618 is divided by 1689?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5740259 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1755920, 3511839, 5267756, 7023671, 8779584, 10535495?\nAnswer: 12291404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35036.93646 rounded to the nearest one hundred?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 8:49 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 60.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**3\/3 - 3*b**2 + 6*b + 4. What is k(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769413 is divided by 14248.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 24 - (-119 - -102) - (52 + -1).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-2) - (-5170)\/18. Let q = 479872\/1665 - g. Let j = 27833 + -27832. Which is greater: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*z - 168*z - 191*z + 140*z.\nAnswer: -444*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 4:35 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**3 - 2*a**2 - a. What is r(-2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5888.78ns to milliseconds.\nAnswer: 0.00588878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/4 + (-167 - 24). Let a = 38719\/81 + -478. What is the common denominator of a and 462\/k*3\/(-18)?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.743 - -3.043. Sort b, 2, 2\/7, -13.\nAnswer: -13, 2\/7, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**5\/240 + a**4\/32 + a**3\/12 - 3*a**2\/2 - a. Let i(d) be the first derivative of k(d). Let i(y) = 0. Calculate y.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**3 + 2. Let i be 11\/(-3) - (-12)\/(-36). Let w be (-19)\/i + (-1)\/(-4). Let o(k) = 8*k**3 - 5. Calculate w*p(h) + 2*o(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49059 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 28*f**4 - 148*f**3 - 884*f**2 - 492*f + 216 = 0.\nAnswer: -3, -1, 2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -285125535 by 19008369.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 558, 568, 590, 630, 694?\n\"Answer: i**3 + 3*i + 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, g: 1, a: 4, u: 3}. Give prob of sequence ngan.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 479?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/28*(3 - 73\/3). Is m greater than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 678*a + 173*a**3 - 678*a + (-a - 3*a**2 + a)*(-5*a + 4*a - 2*a) - 4*a**3 + 3*a**3 + 3*a**3 + (-a + a - a**2)*(a + 3*a - 5*a).\nAnswer: 185*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 1:33 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**3\/5 - 18328*i**2\/5 - 36644*i\/5 - 3664 = 0.\nAnswer: -4580, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 27*w - 93. What is k(-7)?\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**3 - 2*b**2 - 6. Calculate y(3).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15573 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 574*d - 594*d + 19920. Calculate the lowest common multiple of 32 and d.\nAnswer: 7968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 - 3.95. Let c = 9 + w. What is the nearest to -1 in c, 1\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(((v*v\/(v*v**(2\/9)))\/v)\/v)*v*(v*v**(-3\/16))\/v*v**(26\/5)\/(v\/v**(-3)) assuming v is positive.\nAnswer: v**(3049\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3326591 to two decimal places.\nAnswer: -1.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/2920, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*y - 40*y + 24. Which is the second smallest value? (a) y (b) 2\/15 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**2 + 3*x - x + 23*x**3 - 15 + 0*x**2 - 16 + 30. Let a(d) = -68*d**3 + 14*d**2 - 7*d + 4. Let l(n) = 2*a(n) + 7*g(n). Differentiate l(s) wrt s.\nAnswer: 75*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2331012793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/6555 and -67\/10.\nAnswer: 13110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - v + 1. Suppose -3*t + 4*x = 8 + 23, 2*x - 23 = 3*t. Let y = t - -6. Let w(n) = 5*n - 1. Let c(u) = y*w(u) + 5*r(u). Differentiate c(d) wrt d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1016927595?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 288\/24*3\/(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1*sqrt(17)*1 + -5 + 2*sqrt(102)\/(sqrt(6) - (sqrt(216)*-1 + sqrt(216))))*5)**2.\nAnswer: -1050*sqrt(17) + 5050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c - 40*c - 5*x - 2 = 0, -2*x - x - 12 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 3 - 1 - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1523*f + 238*f + 3197 = -23218 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 717 greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n - 1 - 860*n**2 + 1 + 2*n.\nAnswer: -860*n**2 - 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x - 23. Calculate s(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -451471*t**3 + 77964*t**2.\nAnswer: -2708826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s - 6. Let i be t(12). Suppose -i = 34*y - 540. Let k(b) = b**2 - 14*b - 5. Give k(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4019787047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2551 in -2\/9, -0.008, 2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003057 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 2*h - 8, 3*h + 5 = -1. Calculate the lowest common multiple of (-1)\/(-3)*2*c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 38.8, 4536, 3?\nAnswer: 38.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 - 121*d - 383. Let v be a(-3). Sort v, 0, 1202.\nAnswer: 0, v, 1202","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 b when three letters picked without replacement from {b: 2, w: 2, r: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 901947 or 901948?\nAnswer: 901947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + x + x = -438, 215 = 2*n - 5*x. Calculate the greatest common factor of 22 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3160 - -434125?\nAnswer: 430635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) 4 (c) 96918\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 4 - 4 + (-2 + 0 + 0)*(2*k + k - k) + 1 - k - 1 - 18*k - 14*k + 31*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 10 = -v. Suppose -6 = -v*d + 59. Solve d = -5*j - 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6961118.\nAnswer: 2, 643, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 306 - -56. Suppose z = -11*y + 2419. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 268, -33 in decreasing order.\nAnswer: 268, 2, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 5*p**2 + 8*p - 24. Calculate j(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -11019*h**2 + 32*h - 2. Let b(c) = 60703671*c**2 - 176304*c + 11019. Give -2*b(j) - 11019*t(j).\nAnswer: 11019*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*z = 34*z + f + 408, -2*z - 5*f + 204 = 0. Calculate the remainder when 415 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1434*g**2 + 8*g**3 + 1429*g**2 + 18*g**3 - 2 to z + n*g + w*g**2 + d*g**3 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3609, 3603, 3597, 3591?\nAnswer: 3585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4 - 7. Put -11, t, -5 in descending order.\nAnswer: t, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.6 and 387?\nAnswer: 386.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 829 = 15*j + 934 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 0)*(-16)\/(-80).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -197*k**3 + 74*k**2 - 5*k - 5. Let j(q) = -98*q**3 + 37*q**2 - 2*q - 2. Let c(n) = -5*j(n) + 2*v(n). Find the third derivative of c(l) wrt l.\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v - 3. Let f be q(-3). Let u(y) = -1. Let d(o) = -2*o + 7. What is f*u(c) + d(c)?\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54149?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -27*o**2 - 8585*o + 8928. Give g(-319).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79 - 42. Suppose 0*k = -k + u. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 20*y - 44. Let s be b(14). What is the highest common factor of s and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.818 and -5044.\nAnswer: -24301.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10.1 (b) 4 (c) 249 (d) -0.1 (e) 0.7 (f) 2 (g) 2\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*u**3 + 326*u**2 + 16374?\nAnswer: 141*u**2 + 652*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.1 + 4. Let s = -0.1 + w. Let g = s - -0.3. Is -0.1 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*r + 1308 = 0, 3 = -3*r + 15. Let b = 332 - c. What is the remainder when 221 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {c: 3, q: 7, a: 3, r: 1, p: 1, k: 3}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**2. Let o(l) = -2*l - 234. Give j(o(c)).\nAnswer: -12*c**2 - 2808*c - 164268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t = -56*t. Let a(b) be the first derivative of 0*b**4 - 1 + 0*b**2 + t*b**3 + 4*b + 3\/5*b**5. Find the first derivative of a(d) wrt d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let n(j) = 155*j**2 + 2*j + 1. Let i be n(z). What is the highest common divisor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72539*-0.27.\nAnswer: 19585.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5477 + -5477.4. What is the nearest to 2\/3 in 4\/387, -1, i, -3?\nAnswer: 4\/387","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 60. Let h(f) be the second derivative of -f**4\/6 + 1672*f. Calculate h(n(m)).\nAnswer: -2*m**2 + 240*m - 7200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 179, 707, 1577, 2783, 4319, 6179?\n\"Answer: -p**3 + 177*p**2 + 4*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i + i**3 - i + 10 + 5 - 3*i.\nAnswer: i**3 - 12*i + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222 - 1022002?\nAnswer: -1021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) 3\/5 (c) -1\/4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 32*q + 39. What is the units digit of y(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*x + 6 = 0, -4*c + 0*c + 3*x = -8. Suppose c = l - 0, 5*o - 3*l - 19 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a = -2*s + 423, 0 = 2*s + 3*a - 403. Calculate the highest common factor of 19 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 3*r = -2, -38 = 4*u + 5*r - 23 - 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from pnnkppvpps.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122 and 38125?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**3 + 9386435*b**2 + 4*b - 234535137?\nAnswer: 3*b**2 + 18772870*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 216*b - 9*b**2 - 576 + 120*b - 51*b**2 + 0*b**3 + 3*b**3 = 0.\nAnswer: 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 817 and 727092?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) 0 (c) 0.4 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 21. Let q be w(14). Suppose -21 = q*b - 14*b. Let g(i) = i + 2. Let h(m) = m + 1. Determine b*h(r) - g(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.76 + -0.04. Let w = 0.09 + -4.09. Let f = w - u. Which is the closest to 0.1? (a) f (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -160958*g*x + 189376185*g + 890*x**2 wrt x?\nAnswer: -160958*g + 1780*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -484741.9 + 3.\nAnswer: -484738.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26442 and 102?\nAnswer: 449514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 6*r - 3. Let m(n) = -1. Let y(p) = -m(p) + t(p). Let i be y(7). Which is the third biggest value? (a) -0.5 (b) i (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 3*y**2 + 7*y**2)*(3 - 3 - 7*y**3)*(227 + 62 - 88).\nAnswer: -7035*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121643 by 3.\nAnswer: -121643\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 335.244 - 917098?\nAnswer: -916762.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127 + -122. Suppose 0 = 3*x + f*j, x = 5*x - 3*j - 29. Solve -m - 21 = -0*n - x*n, -40 = -5*m - 4*n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0 = -3*v + 2, -2*k + 2*v + 12 = 0. Let l be 10\/(-6) - k\/(-6). Let w(p) = -5*p**2 - 2*p + 2*p. Determine w(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5406983 - -592027. Let f be (143560557\/84)\/((-3)\/16). Let w = p - f. What is w rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-7)\/((-7)\/(-3))). Suppose 3*i - 4*s = -0 - 3, -s = 4*i - 15. Solve 2\/3*z + x + 1\/3*z**2 - 1\/3*z**4 - 2\/3*z**i = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162790898 is divided by 201?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = k - x - 144, 0 = -3*k - 2*x + 367. What is the greatest common factor of k and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99*2\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-24))\/((-3)\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*d*w**2 - 3*d + 7218*w**2 + 11*w - 4700 wrt w.\nAnswer: -20*d + 14436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 293 + -4393\/15. Let f be ((-270)\/(-81))\/((-10)\/(-12)). Let m be 8*(-70)\/100 - (-1 - f). What is the nearest to m in h, -1\/3, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 915*x - 920*x - 12, 0 = -m - 4*x - 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 9*r**2 - 7*r - 22. Let w be h(-8). Let l = w - -39. Solve -3*a + l = a - i, 3*a - 5*i - 28 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d - 10a59?\nAnswer: -10a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -18. Which is bigger: -0.1 or v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2033437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/24)\/((-88)\/126720*-8760).\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 177609727 a multiple of 564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b - u = -37*b - 3160, -5*b - 4*u + 7891 = 0. Calculate the remainder when 1593 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 5*a - 32 = 0. Calculate the remainder when a is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*(sqrt(175) - sqrt(175)*2))**2 + 5.\nAnswer: 1578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 467931 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113194, -226386, -339576, -452764, -565950?\nAnswer: -679134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 100.71299009 - 1.71241309. Let g = n + -99. What is g rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -260 (base 8) to base 2\nAnswer: -10110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1407483902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from vvvbbvvvvvvvvk.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from {s: 1, e: 1, f: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from alaaaaaaaaaaaaa?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0167538 to four dps.\nAnswer: -0.0168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c + 110425 + 1311232 = 311607. What is the ten thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 27. Let c(y) be the third derivative of -1\/24*y**4 - y**2 - 1\/6*y**3 + 0*y - 1\/60*y**d + 0 + 0*y**5. Give c(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 784001 and 5630?\nAnswer: 778371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2)*n*n\/(n*n\/(n*n**(1\/12)\/n*n)*n)*n*n*n*n*n)\/(n**8*n*n*n\/(((n*n\/(n*n**(-1\/5)))\/n)\/n)) assuming n is positive.\nAnswer: n**(-373\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*u + 10398 + 2830 = 158*u + 6028 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 159 + -92. Let a = s + -60. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 4, -2, 0.2 in increasing order.\nAnswer: -2, -3\/4, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4230465 and 2919?\nAnswer: 29613255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*k - 245*k - 189*k - 6354 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 - 4*i**2 + i - 7*i**2 + 10 - 4*i + i**3. Calculate o(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10206.053282 to the nearest integer.\nAnswer: -10206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(147)*3 - (sqrt(9)\/sqrt(3) + 2 - (sqrt(432) + 1 - sqrt(432))))**2 + 0.\nAnswer: -82*sqrt(3) + 5044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27 - -85?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 250410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -5. Let i be j\/(-20)*(-44)\/33. Let u = -0.1 - -0.3. Is i bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -340631278 - -340631309.0000013. Let m = 31 - x. Round m to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -13. Let c be (3\/(-2))\/(p\/(-8)). Let b = -19 - -23. Which is greater: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 26*q**2 - 4*q - 152*q**2 - 37.\nAnswer: -178*q**2 - 4*q + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9018, 18035, 27052, 36069, 45086, 54103?\n\"Answer: 9017*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -22599000 to the nearest 100000.\nAnswer: -22600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(((-2760)\/3036)\/(2\/(-11)))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 660 = -4*s - s, -2*s = -5*x - 264. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*x - 169 + 1616, x + 1 = 0. Calculate the greatest common factor of i and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 6*z - 8. Let x be o(2). Solve 2*g + 4 = 3*q - q, -4*g - 2*q - 2 = x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 7112 = 5*w. Let n = 724 + w. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*f - 45 - 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + m + 155, 34 = d + 5*m - 71. What is the remainder when 152 is divided by d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 7 = -5*n + 35, 0 = -5*n + 15. Suppose 3*c - d = -r + 5*c, 0 = 5*r + 5*c + 10. Solve -5*k + 0*k + r*g - 5 = 0, -k + 3*g + 11 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 94 = 49. List the prime factors of 6756\/9 + x\/45.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10d5a1 (base 14) to base 5\nAnswer: -121341432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 4*s + 2. Let c(a) = a**2 - 2*a - 5. Let y(o) = -2*o**2 + 3*o + 9. Let j(r) = -5*c(r) - 2*y(r). Let d be j(6). What is the units digit of f(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 99.895 to 0 dps.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 65\/6, -30\/19, -1\/7 in ascending order.\nAnswer: -30\/19, -1\/7, 65\/6, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a - 13. Let s be f(6). Suppose -v - 5*y + 97 = 0, -v - 2*v + s*y = -211. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3*h + 39 - 11, 6 = 3*h. Let t = g + 44. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15542 from 2647.\nAnswer: -12895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4 + 2845477*c**3\/4 + 126516265166*c**2 + 1676226296153*c + 1897602595260 = 0 for c.\nAnswer: -355678, -12, -5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 217024 and 142422.\nAnswer: 4557504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/(135\/(-72)) + (3728\/60 - 8)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1*20\/2360)\/((-3)\/30*5)\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 528b (base 13) in base 10?\nAnswer: 11438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -386.51 + 384.0933. What is j rounded to one decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 7:38 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 3:32 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*(sqrt(288) - (sqrt(288) + 2)*-1)**2 - (1*sqrt(8) + (sqrt(128) + 5)**2)).\nAnswer: 330*sqrt(2) + 6477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 u when four letters picked without replacement from {u: 13, b: 5}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/13294 or 0?\nAnswer: 9\/13294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 0*l + 50 - 247 - 475.\nAnswer: l - 672","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-768)\/108 - -4\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 10:58 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369 = -16*h + 449. Solve -4*p + 7 = -h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 5:13 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(1*-1) - 1. Let z(k) = -5*k**3 - 3*k**2 - 3*k - 4. Let a be z(-4). Suppose 5*q = 10*q - a. Calculate the greatest common divisor of q and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*m = -178*m - 701*m + 15048 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7*v - 1. What is the tens digit of p(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 701*-0.4\nAnswer: -280.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288 by -72.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 46. Sort 4, -0.5, g, -10 in increasing order.\nAnswer: -10, g, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + -a9b94a8?\nAnswer: -a9b949b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 17*l = 68 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18*(-58)\/(15312\/484)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 305 = -x, -2*b + 7*b - 3*x - 394 = 0. What is the units digit of (-4)\/22 - (-476)\/b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 9*s**2 + 4*s - 4. What is h(9)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 63, 81, 83, 63, 15, -67?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 1:05 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4562.6 - -4558.6. Let s = 0.5 + -0.3. What is the closest to s in 4, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7998, 8011, 8032, 8061?\n\"Answer: 4*x**2 + x + 7993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 k when three letters picked without replacement from {i: 13, k: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 2*f + 40. Let q(t) = -t**3 + 9*t**2 - 7*t - 5. Let h be q(f). What is the third derivative of 19*z**3 + 0*z**2 - 2*z**2 - 16*z**h wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**2 + 2*l - 2*l)*(120*l**2 - 18 - 69*l**2 + 91*l - 49*l**2) in the form h*l + f*l**3 + s + g*l**4 + y*l**2 and give f.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1400*h + 45 = -1391*h. What is the second biggest value in 3, h, 0, -152?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -4499 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**4\/12 + 3*l**3\/2 + 4*l**2 - 2756*l. Let j = 2 - -3. Suppose 13 = -j*m - 17. Determine w(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(88)*4 - (sqrt(88) + (sqrt(88)*2 - sqrt(88))*-2))\/(sqrt(24)\/sqrt(3)*2 - 1*sqrt(72)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 51041688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/299 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1493076 and 143\/2274.\nAnswer: 565875804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + 58 - ((10 - -3) + (-2 - 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-69736)\/(-276) + (-2)\/3 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*d**3 + 300*d**2 + 424*d - 480.\nAnswer: -4*(d - 20)*(d + 2)*(4*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103 + -122. Let a = -23\/4 - 55\/4. Are a and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.72 + -20.12. Let v = s - -19. Which is greater: v or -7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -272527.30889 rounded to the nearest one thousand?\nAnswer: -273000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 9)*(19*a - 42*a**4 - 164*a**4 - 19*a) to the form l*a**2 + u*a**3 + f*a**4 + k*a + j and give f.\nAnswer: 1648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/((-26)\/(-576))*1\/2. Calculate the highest common factor of d and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14649 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 132\/198 + (0 - 88\/6). Let g(o) = -o**3 - 15*o**2 - 21*o + 8. Let d be g(b). Put -5, d, 1 in increasing order.\nAnswer: -5, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 2*f - 1. Let d be k(-1). Suppose -d*a = 97 + 29. Let g = -22 - a. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 5 - 52\/(-18). Let a(t) = -t**2 + 14*t - 28. Let j be a(10). Suppose s + j = -0*i - 3*i, -12 = 3*i. Which is greater: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(2*sqrt(2)*-4) - (-5 + sqrt(104)\/sqrt(2)).\nAnswer: -17*sqrt(13)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 16 = -4*o, 11 = 3*f + o - 2. Suppose -d + f*t - 15 = 0, 0 = 5*d + 2*t + t + 6. Let j = d + 1. Do j and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + m - 14 = 0, 0 = -5344*o + 5341*o + 2*m - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Suppose -l*p + p + 122 = 0. List the prime factors of p.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 0*v + 4*v)*(-3 + 1 + 3) + 814*v - 2047*v + 1024*v to the form h*v + i and give h.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 10) in base 12?\nAnswer: aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.81 + 0.41. What is the second smallest value in -5, 0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21\/2 of a week?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 47, -37, -121, -205, -289?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 2:07 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*x = -38*x - 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 + (-5762)\/473)\/((-3)\/11)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39806?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1452208052728 + 1452205861151.000049. Let l = k - -2191486. Let q = l - -91. Round q to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1514517*d. Let h(y) = 228*y. Determine k(h(j)).\nAnswer: -345309876*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197*-1.\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 6 - 9 = -m, 8 = -3*t - 4*m. Suppose t*o - g = -91, -3*o - 36 = -g + 31. What is the common denominator of 93\/16 and ((-43)\/o)\/((-9)\/(-12))?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**4\/24 + 7*u**3\/3 + 93*u**2. What is y(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10773 is divided by 58.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8700595\/249 - 34942. Find the common denominator of 49\/60 and g.\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4012 = -n + f + 4002, n + f + 17 = 3*f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 70, -3, 0 in increasing order.\nAnswer: -5, -3, 0, 1, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(99 - 99 - 14*j)*(-3*j + 4*j - 4*j + (-2 + 0 + 4)*(-3*j - 3*j + 4*j) - 4 + 4 - j + 0*j + 5*j - 4*j).\nAnswer: -196*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-53)\/(-3)*(-3 + -63). Let f = -667 - l. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -8*i - 100. Let b be l(-13). Solve b*y + 4*d = -12, -4*y + d + 2 = 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2013131022 + -1?\nAnswer: 2013131021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 5 + 90. Suppose 0 = -5*x + 92 - 32. Suppose 4*a = -x + 36. What is the remainder when k is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.062 - 5.062. Sort 5, f, -5\/3, 0 in decreasing order.\nAnswer: 5, 0, -5\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 141 + -56. Suppose 2*h + 12 = -131*k + 135*k, -3*k = -3*h - 15. Put k, 4, o in ascending order.\nAnswer: k, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/4 - 445*f**3\/2 - 100681*f**2\/4.\nAnswer: -f**2*(f + 133)*(f + 757)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288431 and 3289.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 261*b**2 - 255*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209, 207, 213, 227, 249, 279, 317?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k + 3. Determine n(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -6\/43, 9.898 in descending order.\nAnswer: 9.898, -6\/43, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (36*(-31)\/(-3348))\/(1\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8696 + 8698 - 17394 + 179*i**3.\nAnswer: 179*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -447 - -457. Let k(c) = c**3 - 2*c**2 - 4. Suppose 2*s = 3*s - h - 1, 4*s = h + 10. Let n be k(s). Solve 2*w + 3*u = 3*w + b, -n*w + 6 = -u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1.8. Which is the biggest value? (a) -5 (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2740.6 and -0.3.\nAnswer: -822.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(0 - 5\/1). Let s be u\/10*(-72)\/2. Suppose 4*i + g - s = -g, 5*i + 10 = 4*g. Put i, -3, -2 in descending order.\nAnswer: i, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 14*w**2. Let b(a) = -2*a**2 + 6*a + 6. Let o(j) = -j - 1. Let i(x) = b(x) + 6*o(x). Calculate i(k(y)).\nAnswer: -392*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/5 (b) -0.03 (c) -2 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24185 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: Let o = -0.4 + 1.1. Let a = o + -0.9. Suppose 245 = -31*v + 710. Is a equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 9*o**2. Let b be c(9). Suppose b = 2*n + 16 - 64. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1086787702?\nAnswer: 2, 7, 11, 13, 29, 18719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2))\/h**(-2\/7) assuming h is positive.\nAnswer: h**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -273*n - 270*n + n**2 - 3*n**3 + 546*n + 3*n**4 + 0*n**3 - 3 to i*n**2 + d*n + z*n**3 + b + a*n**4 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**2 + 12. Is s(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353 = 3*f - 3*t - 163, -2*f = 2*t - 356. Suppose -f = 7*y - 2*y. What is the remainder when 41 is divided by (-12)\/30*(y - 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63\/25 + -33\/25. Factor d - 8\/5*z + 2\/5*z**2.\nAnswer: 2*(z - 3)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -18, -21, -20?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**2 - 320*a - 316 = 0.\nAnswer: -79, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 181659626 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70457583?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0071065932 rounded to five decimal places?\nAnswer: 0.00711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2711\/230 + 117\/10. Are s and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/3 (b) 0.4239 (c) -3\/7 (d) 0.1 (e) 4\/7 (f) 2 (g) -9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19838\/(-3597))\/((-16)\/264).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -212, -471, -834, -1301, -1872, -2547?\nAnswer: -3326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355990376.\nAnswer: 2, 7, 6356971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7910531*z**3 - 3371428 wrt z.\nAnswer: 23731593*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97404120 by 32468040.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 227 + -1570000?\nAnswer: -1567551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r + 358 = 70 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21002 + 102?\nAnswer: 21111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.99 - 0.01. Let x = -4 - -4.2. Let f = 23 - 20. What is the closest to f in x, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132 + 111402334?\nAnswer: 111402202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -57, -92, -149, -234, -353?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68122*a**4 - a**3 - 902*a + 109953626 with respect to a.\nAnswer: -272488*a**3 - 3*a**2 - 902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 84, 12, -23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-18) - (-8)\/(48\/110).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9966 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 4*x**2 + 3*x**2)*(9 + 25 + 1)*(-1 + 5 + 1).\nAnswer: -175*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.15 + -0.1. Let x = 200 - 200.08. Let w = x - p. Round w to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p**(-2\/11))\/(p*p**(-1)*p**(-6))*p**6*p*((p*p**2)\/p)\/p*(p**(1\/3)*p)**(-4\/7) assuming p is positive.\nAnswer: p**(3016\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 12:47 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/(5*2\/40).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61020.\nAnswer: 2, 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.00448495\nAnswer: -0.002242475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) 3\/70 (c) 113 (d) 3 (e) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**2 + 2*j**2 - 3*j**2)*(2*j + j - 2*j) + 43206*j**2 + 2*j - 19*j**3 - 39 - 43206*j**2 as l*j**2 + m*j + b + z*j**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/21 (b) -2\/7 (c) 3 (d) -136\/117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**7\/2520 - p**6\/240 + p**5\/60 - p**4\/3 - 7*p**2. Let o(y) be the second derivative of h(y). Calculate o(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-16) + (-3)\/4. Let l(d) = -4*d + 1. Let a be l(v). Solve a*p - 12 = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39062*h**2 - 78127*h**2 - 48*h**3 + 4*h + 16*h**3 - 3*h + 39065*h**2.\nAnswer: -32*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (49\/20)\/(2\/(-5)) and 61\/114.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -171\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -8*d - 6. Let j(w) = -3*w**3 - 3*w**2 - 4*w. Let g be j(d). Find the third derivative of -9*c**3 - 3*c**3 - g*c**2 - 3*c**3 wrt c.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 + 6*w**3 + 2*w**3 + (4*w**2 - 2*w**2 - 3*w**2)*(0*w + 4*w - w).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 5*k**2 - k + 10. Let q be o(5). Suppose 3*g - 4*a + 1 = 2, 10 = q*a. What is b in 4\/9 + 2\/9*b**g + 0*b**2 - 2\/3*b = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13480600?\nAnswer: 2, 5, 7, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, u: 2}. What is prob of picking 2 a and 1 u?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 8*w + 140. Let b be z(-17). Differentiate -75 - 3*s**b + 12*s**3 - 51*s**3 + 7*s**3 wrt s.\nAnswer: -12*s**3 - 96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -228384292 from 123.14.\nAnswer: 228384415.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40.378 + -0.122. Let v = d + 40.500199. What is v rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6576, -6597, -6610, -6609, -6588, -6541, -6462, -6345?\nAnswer: -6184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2. Let c = 109 - 80. Let i(k) = -80*k + c*k**2 - 16*k**2 + 82*k + 42*k**2. What is i(v(p))?\nAnswer: 55*p**4 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -6. Is -0.2 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2588 (base 16) in base 14?\nAnswer: 3704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 429 * -0.3\nAnswer: -128.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/(sqrt(6) + (sqrt(6) - (sqrt(6) + sqrt(6)*-2))))\/(-5*sqrt(3)*-2))**2*1.\nAnswer: 1\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 f when three letters picked without replacement from {s: 3, e: 1, f: 4, l: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -3 - -37 - 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 + 7*j**2 + 39*j**3 - 4*j**2 - 52*j**3.\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1956*j**2 - 5*j + 2. Let z be u(3). Is 1\/6 - z\/(-42) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -45*u - 265. Calculate the least common multiple of 644 and n(-9).\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*r - 90*r = 0, 5*b - r - 13 - 14 = -7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 - 82. Let w be (38 + -34)*k\/2. What is the third smallest value in 48, -1\/6, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u - 26. What is i(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 - 11.11. Let p = 48 - 46. Which is smaller: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b4dba - -18?\nAnswer: -1b4da2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102203321 + -121?\nAnswer: 102203200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -551.45332.\nAnswer: 551.25332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 12399725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1146*z**2 + 4*z. Let y(w) = 4*w**2 + w. What is -k(v) + 5*y(v)?\nAnswer: 1166*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -6, -3*c - 5*x + 2*x - 12 = 0. Let r be c\/(-4)*80\/15. Suppose -q + r = q. Solve -w - 15 = q*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2044?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1679 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 + 4.08. Let x = o - 3. Let d = -0.04 + 0.04. What is the third biggest value in -0.5, x, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (114 + 27 - 31 - 3 + 3 + 2 + (3 + 0 + 0)*(-1 - 4 + 4) - 2 + 1 + 0)*(0 + 2*c**3 + 0) in the form h*c**3 + m*c + f*c**2 + z and give h.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 194, 195, 196, 197, 198, 199?\n\"Answer: j + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 + 4 - 21)*(-3*h - 2*h + 4*h) + 2*h + 0 + 0.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**3 - 105372410*d**2 - 316117265*d - 210744850 = 0 for d.\nAnswer: -2, -1, 21074485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*p - 21 = -189 - 912 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 7*d - 54 = 0. Is 1827\/d*(0 - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 5*h + 2. Suppose -4*q = q + 25. Let c be z(q). Solve -5*a = -2*v, -5*a + 5 = -v - c*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -0.1, -5, -11714?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k**2 + 199*k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -470*s**2 - 25847*s + 145. Calculate y(-55).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**3 + 137*l**2 + 4760*l + 4624 = 0?\nAnswer: -68, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -762 - s**2 - 224 + 74 + 30 to the form v*s**2 + r*s + z and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from {y: 2, p: 9}.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g**3 + 82*g**2 + 25*g + 1080. Give h(-11).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(2299)*-3.\nAnswer: 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 603187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 6:52 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11490980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15499 divided by -1?\nAnswer: 15499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.387 less than -4.159?\nAnswer: -4.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*l**3 - 746*l**4 + 252*l**4 + 45 + 240*l**4 - 2*l + 2*l**2 + 259*l**4 as d*l**2 + a*l**4 + o + w*l**3 + s*l and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -665*g**3 + 4*g**2 + 2*g + 2. Let o(s) = 94430*s**3 - 570*s**2 - 285*s - 285. Determine -570*c(l) - 4*o(l).\nAnswer: 1330*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3*y + 32 = 2*x - 3*x, -5*x - 44*y = 262 + 70 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 11 - 19*j + 23*j**2 + 5*j + 0. Let r(i) = 17*i**2 - i - 1. Let z be r(-1). Let w(k) = 6*k**2 - 2*k**2 + 4*k**2 - 5*k + 4. Determine z*w(n) - 6*f(n).\nAnswer: -2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 691210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 516 divided by -3?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8+44845\nAnswer: 44853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129571.\nAnswer: 13, 9967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -3*b + 2*l + 7, -30 = -5*b - 2*l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a250 + 14?\nAnswer: -a237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250271.8*-0.1.\nAnswer: 25027.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 95*g - 2081270 + 2094000 for g.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4 + 11.6. Let b = q + -13.9. Let s = 10.6 + -11. Sort -1\/2, b, s in descending order.\nAnswer: b, s, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-222)\/407*66\/(-90))\/4.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13851.137 * 4.\nAnswer: -55404.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1574 + 6355\/4. Let d = o + -15. What is the third biggest value in d, -5, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(84)*2*2 + sqrt(84) + -4*(-1*sqrt(84) + sqrt(84))))\/(-6*2*(sqrt(108) - (sqrt(108) - sqrt(108)*2) - sqrt(108))).\nAnswer: 5*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -12*p - 990. Is p at most as big as -164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12290 bigger than -12291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5011, -6651, -8291, -9931, -11571, -13211?\n\"Answer: -1640*m - 3371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9420 or 1855?\nAnswer: -9420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -169*q**3\/6 + 9*q**2\/2 + 52*q. Does 12 divide c(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2. Let n(r) be the third derivative of -r**5\/60 - 10*r**2. Calculate n(h(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*n + 2*n. Suppose 0 = 3*u - 6 + 3. What is the units digit of (u\/(-2))\/(n\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b + 7 - 4 - 8 - 15 as k + o*b and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 24 + 2*x - 4*x - 22*x + 80. Let i be v(4). 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: Suppose 6*j - 25 = j, 4*j = 2*c + 20. Suppose c = 5*u - 4*m - 16, 5*u - 4*m + 12 = -7*m. Let k = 5 - 2. What is the closest to u in 1\/3, k, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18705 divided by -6235\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1056 divide 26210976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 2*q - 19. Give v(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1659091000 rounded to the nearest 1000000?\nAnswer: 1659000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + (-1 + sqrt(1216) + -3)**2 + 2)*-3*-2.\nAnswer: -384*sqrt(19) + 7416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/6)*v*v)**29\/(v**(-1\/4)\/(v\/(v*v**4))))**36 assuming v is positive.\nAnswer: v**2823","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -4\/9 (c) 0.02 (d) 0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3 minus -50?\nAnswer: 45.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 5, -4.6 in descending order.\nAnswer: 5, 2, -1, -4.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2. Let z be 15\/18*(-12)\/(-30). Let i(k) be the second derivative of z*k**3 + 0*k**2 - 2*k + 0. Give i(g(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 41*n + 247. Determine p(-6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-42)\/(-75))\/(24\/36). What is the second smallest value in -0.2, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1730617.\nAnswer: 7, 17, 14543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 - 3*m**2 + 703 - 325 - 212 to c*m + p + o*m**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 6:42 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ssswjwsyyn.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 - -0.578092\nAnswer: 0.408092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k**4 - 34 + 34 + (k**2 + k**2 - 3*k**2)*(-190 + 190 + 43*k**2) to the form a*k**3 + t*k**4 + j*k + b + c*k**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1075*y - 2066*y + 286*y + 273*y.\nAnswer: -2582*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from vtewivi?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -9*f + 6. Let y be b(2). Is (-121)\/(4\/y*3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2331 + -1660. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 171 = 747. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3626 - 3626 + 649*k)*(24 - 6*k**2 - 24)*(3*k - 3*k + k**2).\nAnswer: -3894*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = a - 352, -17*a + 1036 = -14*a - 5*h. Let m = a - 342. Is 2 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 30 = 6*q - q, 5*f = 0. Let x(t) = -385*t**3 - 5*t**2 - 4*t - 4. Let v be x(q). Round v to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2566773355?\nAnswer: 5, 513354671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*g + 3*r - 17, -5*g + 32 = 4*r. Suppose 11*m - 37 + g = 0. Let j = 20 + -10. Calculate the least common multiple of j and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -231*g**2 + 230*g**2 + 8*g + 2 + 4*g. Let v be a(12). Suppose 0 = -v*j + 4*s + 26, s + 4*s + 30 = 2*j. Let i(u) = -u**2 + 6*u - 6. Determine i(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3307731 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 344900 and 47.\nAnswer: 16210300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1243*110\nAnswer: -13.673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 5*l - 2558, 12*m - l = 19*m - 17838. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1899457 divided by -5\nAnswer: -1899457\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 11*z - 42. Let c be l(-12). Is 3 a factor of ((-56)\/(-168))\/(1 - 112\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -1)\/2*30\/(-90). Suppose j = -3*u + 4*q + q + 961, -911 = -3*u - 5*q. Is 39 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) 0 (c) -1\/11 (d) -16 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/4)\/(13\/2236)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**3 - 2*z**2 + z - 1. Let y be ((-5)\/(-10))\/(2\/8). Is m(y) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1139021436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 10:20 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 37. Let r(s) = -7*s**3 - 2*s**2 - 2*s - 4. Is 11 a factor of r(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -94 + 554?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.5 in 94, 2\/9, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-225)\/30 - -7)*(-5 - -21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 0 - d + 2\/21*d**3 + 0*d**2 - 1\/42*d**4. Find u, given that a(u) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 550.41383 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5871 or -914?\nAnswer: -914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i**3 - i**2 + 1. Let n(w) = -w**2 - 3*w. Let a be n(-3). Let h = a + -1. Is 2 a factor of y(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -1 (c) 0 (d) -0.2 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1717 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-14)*(-10)\/(-15).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-11)*-20*9\/(-90). What is the biggest value in u, -28, 1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 196, 206, 222, 244?\n\"Answer: 3*z**2 + z + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3182.1? (a) 3\/2 (b) -1\/2 (c) -0.06 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 14, -8, -50, -118?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*2.7.\nAnswer: -0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 341, -2, 5, 0, -20, 4 in decreasing order.\nAnswer: 341, 5, 4, 0, -2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/2, -730, 4.\nAnswer: -730, -3\/2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.048?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99740056 and 8827.\nAnswer: 698180392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yiji when four letters picked without replacement from {i: 2, y: 4, w: 7, j: 1}.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 532 and 684?\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3d1 - -213?\nAnswer: -1bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*r**3 + 316*r**3 - 107*r**3 + 827*r.\nAnswer: 2*r**3 + 827*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.3 (b) 0 (c) -4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19574.\nAnswer: 2, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0278 and -2.\nAnswer: -0.0556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -15*b - 7. Let q be -7 - (-4)\/(-2) - -2. Let k be i(q). Suppose 0 = -5*r - 2*d + k, -4*r + 0*d + 3*d = -60. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2540 or 2158?\nAnswer: 2540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -226*c**3 - 6*c**2 - 17*c - 20. Let o be i(-2). Calculate the greatest common divisor of 186 and o.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o - 2. Let l be p(1). Suppose -10 = -l*r - 5*d - 4, 18 = 5*r + d. Suppose -5*f + 4*f = -16. Solve 0 = r*u - 8*u - f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/3696 and 58\/1617.\nAnswer: 25872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*v - 15*v**3 - 70*v)*(3*v**2 + 0*v**2 - v**2).\nAnswer: -30*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwn when three letters picked without replacement from {w: 3, n: 12}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 13*b**2 + 9*b + 6. Let w be j(12). Let a = w - -30. Solve 3*f + a = -2*l + 10, 0 = 4*l + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 0.04, -36?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -88 - -76 - (0 - 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-27)\/45*5)\/(2*(-4)\/(-24)). Sort -1, 3, 7, k in descending order.\nAnswer: 7, 3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - ((-3 - -1) + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 309081103 to the power of 1\/2, to the nearest integer?\nAnswer: 17581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t + 6. Let j be (-2)\/5 - (-378)\/(-105). Let w be c(j). Let k = -14 + w. Put 2, k, -3 in increasing order.\nAnswer: -3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 1. Let j(h) = -4*h - 3. Let b(s) = s - 2. Let v be b(-1). Let y(p) = v*r(p) + j(p). Let t(f) = 5*f. What is y(t(i))?\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 4\/3, -1\/3, -61.222?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 284, 657, 1178, 1847, 2664, 3629?\nAnswer: 4742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 >= -924\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 14. Let w(n) = 5*n + 28. Let m(h) = 7*i(h) + 4*w(h). Is m(6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 1862536*w - 31. Let q be s(-16). Let k = q + 81800602. Suppose -2*b = j + k, -j - 130000015 = 5*b - 4*j. What is b rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*12\/120)\/(((-9)\/3)\/(855\/38))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30.31 - -0.31. Let s = 27 + a. Sort s, 3\/2, 0.05 in descending order.\nAnswer: 3\/2, 0.05, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3\/4, 0.4, 3 in descending order.\nAnswer: 3, 1, 0.4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/290 and -81\/16.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, i: 13}. What is prob of sequence ikii?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 - 26 - (-4 + 10 - 5).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130879?\nAnswer: 7, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k**2 - 1. Let f(m) = m**2 - 34*m + 18*m - 17 + 19*m. Let l be f(4). Suppose -3*b = 4*r + 16, 3*b = -r + 2*r - l. Calculate w(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7661.68503 rounded to the nearest ten?\nAnswer: 7660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 7. Let k = u - 5. Suppose 2*r = k*g + 3, -r = 3*r - 2*g - 10. Which is the second smallest value? (a) r (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 4*d - 10. Let k be s(6). What is the closest to -0.1 in k, -2\/7, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106\/(((-915)\/1830)\/(1\/(-4)))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1332402105\/4147 - 321293. Calculate the common denominator of l and -19\/26.\nAnswer: 8294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(192))\/sqrt(12))\/((sqrt(80)*2)\/sqrt(10)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2976 and 2976?\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 52414?\nAnswer: 52422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 47*v**2 - 93*v - 40. Calculate y(-45).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 6)*(2259*q**2 + 2336*q**2 - 4710*q**2).\nAnswer: 920*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 22 = t. Let k = t + -26. Solve 4*q + 17 = q - 4*g, 3*q = k*g - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l - 30 = 0. Suppose 5*r = 17 - 7. Let z(c) = -8 + r + 3 - c + 2. Determine z(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-156)\/182)\/(((-88)\/7)\/4).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -4, -3, 1, 351, 0.\nAnswer: -4, -3, 0, 1, 23, 351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 8 = 6. Let m be 4\/14 - k\/(-7). Is m at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 2*p**2 - p**2)*(-4*p - 2*p + 5*p) + 4 - p**3 - 4 - 2*p**3 + 44*p - 17*p - 1 - 105*p.\nAnswer: -4*p**3 - 78*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 4 - 3)*(-19*c**5 + 3*c**5 + 9*c**5).\nAnswer: 56*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6610887785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2109356504 to the power of 1\/2, to the nearest integer?\nAnswer: 45928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -9. Let b be (-3768)\/(-9)*(-4 + 7) + d. Let s = 1783 - b. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012001 (base 3) to base 14.\nAnswer: 45b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 7*u**2 - 6*u + 4. Suppose 3*d - 3*s + 24 = 0, -2*s = d + s. Let f be r(d). Let t = -2 + f. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/(-275) - 20\/110. Let f = 104\/3 + -35. What is the closest to h in f, -2\/13, 4\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*j = -37, 3*p + 27 = -p + j. Let z = p - -4. Let k = z - -6. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 113 and 109 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - 38.1. Which is the third smallest value? (a) -0.5 (b) 4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 27*j**2 - 19*j - 69. Let q be (2 + -8)\/(-2 + -1). Let o be 2 - 78\/((-6)\/q). Is d(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*u, -2*u = -2*p + p + 26996. What is the highest common divisor of 216 and p?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7497726 nanoseconds in hours?\nAnswer: 0.0000000000010416035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 87 = -3*n, 0*k + 62 = 2*k + 3*n. Let j(y) = 3*y - 8. Calculate the remainder when k is divided by j(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11808611 to the power of 1\/2, to the nearest integer?\nAnswer: 3436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5509 is divided by 500.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -v - 13. What is the smallest common multiple of 1\/v*1 - (-3 + -17) and 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/((k*k**(-1\/3))\/k*k))*k*k))**(2\/31)\/((k\/(k*k**(4\/7))*k)\/(k*k*k\/((k\/(k\/(k**14\/k)))\/k)*k)) assuming k is positive.\nAnswer: k**(-5557\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27225 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 1672?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.04550916 and 3525.\nAnswer: 3524.95449084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -23. Let n = -42 + v. Let h = 45 + n. Calculate the greatest common divisor of h and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 8*g = -33. Suppose 0 = 7*k - 2*k + 25. Let b = k - -17\/3. What is the third biggest value in g, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 58*q**2 - 1148*q - 149. Is a(118) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 379 + -376. Suppose -q*k - 10 = -4*l + 6, -l - 5*k + 4 = 0. Let n = -4 - -6. Solve 5*g + 1 + n = 3*j, -l*j = 4*g + 28 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3388*l + 535314. Determine t(-158).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 at most -253458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 7*a + 11. Give w(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*d**3 - 1311*d**2 + 2010*d + 9672 = 0.\nAnswer: -2, 4, 403\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**3 + 7*k. Let f(s) = s. Suppose -3*n - 5 = -2. Suppose -24 + 12 = -2*j. Calculate j*f(r) + n*w(r).\nAnswer: 3*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -38. Let p = l - 5. Solve 0*d - p = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65968 + -329836\/5. Let 0 + b*f**2 - 4\/5*f**4 - 4\/5*f**3 + 4\/5*f = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208 a factor of 2022688488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3278.\nAnswer: 2, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from {x: 2, u: 5, l: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*v - 4)*(4141 - 248*v - 4141)*(1 + 2 - 2)*(5*v - 3*v - 3*v).\nAnswer: -744*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 156 + -470\/3. Let k = 2 - -2. Let w = -6 + k. Which is smaller: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31579762*z**3 + 2*z**2 - 3859495*z wrt z.\nAnswer: -189478572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r**4))*r*r**(2\/5))**(2\/83) assuming r is positive.\nAnswer: r**(64\/415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 973 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 45, 134, 205, 252, 269?\n\"Answer: -q**3 - 3*q**2 + 105*q - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 7*f**2 - 8*f + 6. Let l be m(8). Let n(t) = 8 + 10 - 2*t**2 - 20 + t**2 - t - t. Let v(j) = 6*j**2 + 11*j + 11. Calculate l*v(s) + 33*n(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11110 + 11109.9989713. What is i rounded to 5 dps?\nAnswer: -0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*a + 15. Let l = a - -10. Find the third derivative of 2*s**2 + s**3 + s**3 + s**l wrt s.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-409*x - 85*x + 28*x)*(2 - 1 + 2 + (0 + 0 - 2)*(2 - 1 + 1) + 4 - 3 + 0 + (4 + 1 - 4)*(-2 + 0 + 4)).\nAnswer: -932*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + d + 8*d + 9*d - 11*d to the form j + o*d and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + 4 + (-2 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2012 divided by -52711.\nAnswer: 2012\/52711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*w + 13, 0*w + 5 = y + w. Let m(i) = 2 + 4*i - y*i - 1. Let p be m(-3). Sort -3, 2, p in decreasing order.\nAnswer: 2, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*l**4 - 5*l**3 - 198*l**2 wrt l.\nAnswer: 1080*l - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**2 + i - 78*i**3 - 54545 + 54545 to the form s*i**2 + v + q*i**3 + n*i and give q.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153161943 is divided by 62.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68 - (-20 + (24 - -34 - 14)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 4. Let f be 2\/(16\/6)*8. What are the prime factors of (3\/f)\/(n\/(-44))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 28478359?\nAnswer: 28478359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2144 - -6?\nAnswer: -2135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/4228 and 17\/2416.\nAnswer: 16912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 - 84.9. Put -7, 5\/4, w, 1 in increasing order.\nAnswer: -7, w, 1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 126297 - 2283954943\/18084. Let n = -1013828\/22605 - o. Let c = -208\/5 - n. Which is smaller: 3 or c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 + -0.805. Round o to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539833916 to the power of 1\/3, to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 4, -2, -2\/7, -1\/10, -28 in decreasing order.\nAnswer: 4, -1\/10, -2\/7, -1\/2, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(425) - (0 + sqrt(425)))*-1 - (-4 + sqrt(425)*2)) + -2)**2 + 0.\nAnswer: -120*sqrt(17) + 1736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778488363.\nAnswer: 3, 179, 483233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/5)\/(o\/(o\/(o\/o**(-16)))) assuming o is positive.\nAnswer: o**(-86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-128)\/4*(-9)\/(-12). Let f = -4 - b. Let n(h) = -h. Let r be n(-5). Calculate the highest common factor of f and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 5*y**2 + 6*y + 7. Let k be f(-6). Let o(p) = 7*p**2 + 4*p - 4. Is o(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1538 = -6*r + 406. Suppose -5*d = 5*n - 300, -5*n - d = -2*d - r. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 11:14 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - 69*b**3 + b**2 - 2*b**2.\nAnswer: -69*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -356085.93 rounded to the nearest 10000?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*v = 131*v + 383. Let n = v + -266. Calculate the remainder when n is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -0.1, 1, 610, -11\/2, 0, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -359\/3 + 7147\/60. Calculate the common denominator of w and 31\/(-1116)*435\/2.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 7:29 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*j + 2216, 5*j = -23*g + 24*g + 2722. What is the remainder when j is divided by 419?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1801\/2 and -901 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 36563.82 centuries?\nAnswer: 365638.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9913.\nAnswer: 23, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*r + 32, 0*p = 5*r + 2*p + 12. Let d be 25 - (-6 - r\/1). Suppose 2*w - 40 = v, -w + 7*v = 3*v - d. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3 + 11*p**2 - 4*p**2 + 1 - 2 + p. Suppose h - 8*r = -3*r - 31, 0 = -3*h - r - 13. Let s(f) = -f**2. What is h*s(v) - m(v)?\nAnswer: -v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -11*m**3 + 2*m**2 - m. Let z(o) = 11*o**3 + 5 - 1 - 4 + o - o**2. Let x(f) = -4*f. Let a be x(1). Let l(s) = a*z(s) - 3*g(s). What is l(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139456873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -210.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -3, 3, -4 in descending order.\nAnswer: 14, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.318 (b) -21\/5 (c) -907\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**2\/2 - 19*h + 29. Let m = -67 + 76. Determine n(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13913 - -14069. What is the remainder when 2335 is divided by h?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-2\/5)*c))**(10\/9))**(-3\/13) assuming c is positive.\nAnswer: c**(2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 2437?\nAnswer: -2436.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10561 - -10565. Solve -5*a + u = v - 3*v, -16 = -4*v - 2*a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/1120 and 88\/525?\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t - 8 - 0. Let f(x) = x - 2. Let j(w) = -3*w + 6. Let b(o) = 11*f(o) + 4*j(o). Let p be b(t). Let n(m) = 2*m**2 - 4*m + 1. Determine n(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10453*b + 5289*b + 5246*b - 13 to x + a*b and give a.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18, 46, 2\/13, -0.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 720 - 6*h**2 + 2*h**2 + 10*h**2 + 526 - 3*h**2.\nAnswer: 3*h**2 + 1246","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813117 is divided by 203265.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30636 and 1305480?\nAnswer: 144908280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**5\/240 - p**4\/48 + p**3\/24 - p**2 + 2. Let x(s) be the second derivative of r(s). Let x(q) = 0. Calculate q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2552?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 348.\nAnswer: 7308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-5)*78\/(-6))\/((-300)\/500).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by -1514.\nAnswer: 83\/1514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -146 + (98 - (8 - 180)).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-10))\/(4\/(-5)). Let r be (-4)\/(-6)*-3*3\/(-45). Let h = -2\/27 + -98\/135. What is the smallest value in h, q, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90670497*q**2 - 687940620*q.\nAnswer: -181340994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 4 + (-1 - 1). Let i(b) = 5*b + 63. Let y be i(-13). Let o be 11\/(-2)*(0 - (y - -1)). What is the biggest value in -1\/4, d, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -3\/7, -18, -0.5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 557.82 + 0.88. Let o = 530 - v. Let f = 29 + o. Which is the second biggest value? (a) 0.1 (b) f (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 37909, 37894, 37879, 37864, 37849?\n\"Answer: -15*y + 37924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8459\/3 + -2795. Let x be (-5718)\/(-3)*(-140)\/(-576). Let a = x - 3639\/8. Find the common denominator of d and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1869 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1017 and 979 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6)*-6 - 1\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60703\/15 - 4047. What is the nearest to -1\/4 in 13, -3\/8, 49, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a863 - 2?\nAnswer: -a865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 493\nAnswer: -5\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0, -4 in ascending order.\nAnswer: -4, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -701*b + 260. Let f(p) = 44. Calculate -6*f(t) + h(t).\nAnswer: -701*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 2 - (-4 + 0). Let l(h) = -h**2 - h + 2. Let z be l(-2). Suppose -2*m - 2*m = z. Solve 4 = -m*x + j*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -6*p, -3*c = 2*p + 3. Let w be (c - 51\/(-42))*4. Factor -2\/7 - 6\/7*k**2 - 2\/7*k**3 - w*k.\nAnswer: -2*(k + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10326 equal to 361391\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -21, 12, 5, 4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 42*j**3 - 2*j**2 + 13*j - 10. Let p(i) = -126*i**3 + 5*i**2 - 38*i + 28. Let c(g) = -6*p(g) - 17*x(g). Let k be c(-2). Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/3)\/k*k)**17\/(k**(-26)*(k**(-1\/70)\/k)\/k) assuming k is positive.\nAnswer: k**(11833\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31185 divided by -99.\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*k**5 + 2261528*k**4\/3 + 9005832*k**3 - 30893872*k**2\/3 - 394660*k + 2798744\/3 = 0 for k.\nAnswer: -26911, -13, -2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -8*t**2 - 2*t + 2. Let l(h) = -h**2. What is d(x) - 10*l(x)?\nAnswer: 2*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(425) - -1*sqrt(425) - sqrt(425)) + -2 - ((sqrt(272) - (1 + sqrt(272) + 1)) + 3))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**3\/5 - 300488*s**2\/5 - 11112724*s\/5 - 2162448 = 0. Calculate s.\nAnswer: -75085, -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82356667 to the nearest integer?\nAnswer: 9075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.2149639 millimeters?\nAnswer: 0.02149639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -4, -7, 170, -5 in descending order.\nAnswer: 170, -4, -5, -7, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2 + 73*o + 85. Let w be k(-17). Suppose -8\/7*s**2 + 0 + 2\/7*s**5 + w*s + 16\/7*s**3 - 10\/7*s**4 = 0. Calculate s.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374968644.\nAnswer: 2, 3, 31247387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -36*q + 34*q - 12*l, -3*q + 3*l + 12 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*a - 1. Suppose -5*k - 41 = -4*w, 7 - 26 = -2*w + k. Let d = -6 + 7. Solve -a*i + d = -w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvfpyvupyyyvyyyfyyy?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.5 from -281.\nAnswer: -283.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(603\/67*2\/3)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -742 and -854 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1dadcd + 9d?\nAnswer: 1dae6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r - 26. Let i be f(12). Suppose -i = -4*d - d. Let q = d + -2. Solve q*y = 3*y - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from gfnfoooonnooogofofo?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((-24)\/(-9)) + 248\/(-16). Let a be (-2 - 5) + 6 - f. Solve 0*q + a = -4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-10) + (-14)\/10. Let q = -55 + 64. Let o(b) = -8 + q - b - 1 - 2*b**2. Calculate o(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 6*r - 11*r. Suppose -2*g + r*i + i + 40 = 0, -3*g = i - 60. Calculate the remainder when 138 is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9509.5 from -0.093.\nAnswer: -9509.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(11)*3*-3)**2 - 4*(sqrt(11) - ((sqrt(11) - (sqrt(11) + -2)) + -1))**2.\nAnswer: 8*sqrt(11) + 3516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -642*k + 4957. List the prime factors of d(-74).\nAnswer: 5, 7, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*k + 2. Let j be (8\/(-10))\/(10\/(-25)). Let y be 1*j\/2*20. Solve 2 = q - k, -y = 4*l - 4*q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44800834?\nAnswer: 2, 13, 1723109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-222)\/42 - 2\/(-7). Let r(x) = 2*x + 1. Let b be r(j). Let p = 62 + b. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 + 79. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 take away 2.801012?\nAnswer: -2.961012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 1 = 2*m + 4*i, -3*i + 2 = -m. Suppose -919 = -5*y + d, -2*y + 4*d = m*d - 354. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 - -0.3. Let n = -1.9 + 2. Let b = n - 0.2. What is the closest to b in -3, t, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 22.8. Let x = n - -2.2. Let l = -4\/15 - -47\/120. Which is the second smallest value? (a) 0.1 (b) -3\/8 (c) x (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -154*u + 34*u**3 + 2671*u**3 + 4381 + 671 + 154*u with respect to u.\nAnswer: 8115*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*x = -5. Let m be x\/((6\/4)\/((-3)\/(-2))). Let c be 0 - m - 2\/2*-2. Calculate the greatest common divisor of 35 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 2*z**5\/15 + z**4\/3 + 5*z**3\/6 - 6*z**2. Let r(l) = 7*l**2 + 7*l + 4. What is -7*r(i) + 6*u(i)?\nAnswer: -i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -19536*v - 332071. Give i(-17).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10474 + 10474. Let a(o) = -o**2 - 93. Give a(l).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1100100000000010010100101101?\nAnswer: 1100100000000010010100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 41*w**2 - 6*w - 1. Let q(m) = -4*m + 16. Let y be q(3). Is z(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w - 9*w - 1 + 3. Let p = 147 + -151. Let y(q) = -9*q + 5. Let z(k) = -8*k + 5. Let m(t) = p*z(t) + 5*y(t). Calculate -9*h(a) + 4*m(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-6)*4\/15\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1385 is divided by 457?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vooo when four letters picked without replacement from vvvovovo.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1512*-0.331\nAnswer: 500.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -749*w**4 + 15*w**2 + 25*w + 8183. Let a(m) = -375*m**4 + 8*m**2 + 15*m + 4091. Let k(s) = 5*a(s) - 3*g(s). What is the derivative of k(z) wrt z?\nAnswer: 1488*z**3 - 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*j - 37*j + 51*j.\nAnswer: -125*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5\/3 + 113882*f**4 + 341684*f**3\/3 - 6149560*f**2\/3 - 5921872*f - 13665920\/3 = 0. What is f?\nAnswer: -2, 5, 170824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 571, 584, 603, 628, 659, 696?\n\"Answer: 3*n**2 + 4*n + 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1\/3 (c) 14 (d) 2 (e) 2\/9 (f) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90 + -81. Suppose r + m*r = 200. Solve -3*t + 19 = 4*p - 9, -t - 4*p + r = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 3:17 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1599588639 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 6:47 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/9629 and -52\/37?\nAnswer: 356273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**2 + 2079*y - 7268. Let k(q) = -q**2 + q + 3. Let m(f) = 3*k(f) + w(f). Differentiate m(o) wrt o.\nAnswer: 4*o + 2082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*y - 6002 - 7060 = 177*y for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1970)\/(-325))\/(12\/15). Let l = 1079 + -14015\/13. Let x = l + d. Calculate the common denominator of -41\/6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 12 - 3 = 0. Suppose -2*b + 5*b + s = 0. Which is smaller: 1\/9 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 22)*(4*y - y - y) + 16*y - 20*y - 9*y in the form n*y + i and give n.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -25*c + 22*c. Let v be (-2)\/9*30\/c. Is -4 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18000143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, t: 7, r: 5, e: 3}. Give prob of sequence ert.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 113 and -1.1637525937.\nAnswer: 111.8362474063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7679901104.\nAnswer: 2, 29, 16551511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llblblllbblbll. Give prob of sequence blbb.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -6 + 11. What is the nearest to -0.1 in -5, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - t - 26 = -0*s, -5*t = -3*s - 50. Let i(a) = a**2 + 6*a - 8. Calculate the remainder when i(s) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 11, w: 9}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvjjjovoj. Give prob of sequence vj.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 0, 4.94 in increasing order.\nAnswer: 0, 1\/6, 4.94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/9 + (-4)\/(-3). Let p be (0 - 3 - -5)\/(t\/16). Solve -5*i + 3 = 3*d + 1, 0 = 4*d + 4*i - p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.048898*55.\nAnswer: -2.68939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 6*y**2 + 4*y - 9. What is the lowest common multiple of d(-4) and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 5. Let x(k) = -3. Let s(f) = -3*w(f) + 5*x(f). Let m(a) = -5*a. Give s(m(z)).\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/(3\/1) + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2072943974.\nAnswer: 2, 71, 139, 105023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 345, -2, 34 in increasing order.\nAnswer: -2, 34, 345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -734 - 3257*y - 3249*y - 3261*y + 9782*y in the form x*y + i and give i.\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2516153431?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mub when three letters picked without replacement from {u: 5, m: 1, b: 2, e: 1}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buuaffcc. What is prob of picking 2 c and 1 b?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034233711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 9*g - 20. Suppose 0 = m - 2*d - 29, -m - 4*m - g*d + 97 = 0. What is the third derivative of 2*b**3 - 6*b**3 + m*b**3 - 45*b**2 wrt b?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.993 - -0.007. What is the third biggest value in 5, -2, k, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 11*u - 25 - 27. Let p be 0\/5*1\/(-2). Suppose 0 = l + h - 5, -3*h = l + 2*h - 5. Solve 0 = -u*y + l*f - 23, p = -3*y - 2*f - 3*f + 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 386\/4 + (-1)\/(-2). Let k be 2\/5 + 72\/20. Suppose v - 333 = -k*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 16) to base 13\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zs when two letters picked without replacement from szqqzzzsz?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 4, 12 = -2*p + 5*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*(-4 + (sqrt(704) - (sqrt(704) - (0 + sqrt(704) + 3))) + -5 + sqrt(704)*-1 + sqrt(704) + sqrt(704)*2 + -3))**2.\nAnswer: -15264*sqrt(11) + 230905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12138474031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -18. Let y = 25 + p. Let w = 81 - y. What is the highest common divisor of 115 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 7:52 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/20)\/o**(-3)*(o*o\/(o\/((o*o**6\/o)\/o)))\/o**(-9) assuming o is positive.\nAnswer: o**(361\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20955*i*u**2*v + 2*i*u**2 + 42*i*u*v**3 - i*u*v + 31525*u**3*v**3 + u**3 + 2 wrt v?\nAnswer: 252*i*u*v + 189150*u**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from oaoaaa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1382948585?\nAnswer: 5, 43, 337, 19087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 19 + 15*z - 3*z + z**2 + 3*z. Let v be (111 - 109)*156\/(-24). Calculate q(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33070590 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14558 - 14557. Which is the closest to t? (a) 1.7 (b) 1 (c) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 1 (c) 2 (d) -2\/461\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 449*k + 51224. Give b(-114).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -10307327 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 17\/16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.416257.\nAnswer: -0.2081285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 + d + 14 - 129.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from ueeoclol?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -29424 divided by 6\nAnswer: -4904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/2)\/((-60)\/(-220)*1584\/(-864))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 861 (base 16) in base 13?\nAnswer: c90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 4*q - 8. Let b(p) = -p**3 - 10*p**2 - 31*p - 66. Let d be b(-7). Determine y(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -14*k + 2. Let d be g(-2). Suppose 0 = l - 3*l + d. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpucj. What is prob of sequence jc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 409685 + 145315 = 5*j. Round j to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 h when three letters picked without replacement from yhyhllhyhhyhyhhhhyh.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.18 - -0.38. Which is the closest to -1\/2? (a) -2 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1470610110 to the nearest 100000.\nAnswer: 1470600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**5\/7 + 292*p**3\/7 - 576*p**2\/7 + 286*p\/7 = 0.\nAnswer: -13, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 9. Let y be h(4). Let f be 2\/6 - (5 + (-35)\/y). Suppose f*n**2 + 2\/3 - 2\/3*n**3 - 7\/3*n = 0. What is n?\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -32, -23, -4 in decreasing order.\nAnswer: 0, -4, -23, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -6. Suppose -127 - 1 = f*y. Let v = 127\/4 + y. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.5 + -0.5. Suppose 14*b - 10*b + 4 = 0. Put r, b, -1\/3 in ascending order.\nAnswer: b, -1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2870.\nAnswer: 1\/574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1206 - -1130150?\nAnswer: 1131356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - ((3 - 67) + 8).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 98490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*d**3 + 883*d**3 - 7 - 294*d**3 + 7 - 289*d**3.\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*j**3 - 14*j**2 + 2*j + 32 wrt j.\nAnswer: 60*j - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 125, 129, 129, 125, 117?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 73, -3, 132 in descending order.\nAnswer: 132, 73, 67, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -100*q + 103*q + 2*i + 11, 0 = -4*q + 2*i + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2981, -2962, -2933, -2888, -2821, -2726, -2597?\nAnswer: -2428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 118661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -191, -531, -1041, -1727?\nAnswer: -2595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 - 14*k**2 + 4*k + 26. What is the remainder when p(11) is divided by 150?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(5\/2)\/c**(-11)*(c**(-4)\/c)**7)**33 assuming c is positive.\nAnswer: c**(-1419\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-9 + 0) - 12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 6*v - 3. Let r be w(4). Suppose -296 - 227 = -126*f + 107. Suppose -5*x + 27 - 2 = 0, -2*g + 4*x + 20 = 0. Solve r*j = g - f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*p, 7*p - 4*p - 46 = -5*m. Let x = 9 + m. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1467.5 - -1467. Which is the biggest value? (a) 0.12 (b) 28 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 255 (base 16) to base 12\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23903 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w = 0. Let a(f) = f + 0 + w*f + f - 2. Let j(k) = 3*k - 4. Suppose 0 = -2*p + 5*l + 7 + 14, 3*l - 3 = -4*p. Determine p*j(y) - 5*a(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-90)\/(-42))\/((-3)\/(-14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2168 + 2168 - 9*l**3.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 + 4 - 10 - 10 = -t for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, d: 13, u: 3}. What is prob of sequence dnuu?\nAnswer: 13\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*s**2 + 21 + 479*s**2 - 151*s**2 - 136*s**2 - 21.\nAnswer: 47*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 25, 33, 55, 97, 165?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**5\/7 + 2280*t**4\/7 + 140412*t**3\/7 - 133092720*t**2\/7 - 3244579200*t\/7 = 0. Calculate t.\nAnswer: -470, -24, 0, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7236, 7237, 7238, 7239, 7240, 7241?\n\"Answer: y + 7235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1319 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8cd21 (base 16) to base 7\nAnswer: 4621431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + l**2 + 61*l**3 + 57*l**3 + 16 + 68*l**3 to i*l**3 + n + g*l**2 + y*l and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20343 and 319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 130*p**3 + 5*p**2 - 15*p - 110. What are the prime factors of v(5)?\nAnswer: 2, 5, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3215, -1644, -73, 1498, 3069?\n\"Answer: 1571*x - 4786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 166.3 - 164.3. What is the closest to o in -2\/21, 3, 7.2, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40162 - -1364?\nAnswer: 41546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291 = -28*r + 3153. What is the remainder when r is divided by 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -9*n**2 - 10*n + 6. Let u(b) = b**2 + b - 1. Suppose 4 - 2 = -2*f. Let z(g) = f*t(g) - 6*u(g). What is the second derivative of z(w) wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/10)\/((224\/(-120))\/(-14)). What is the nearest to -0.2 in -0.25, t, 0?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 246?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -151707\/7 less than -21673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047295044 rounded to five dps?\nAnswer: -0.0473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0169 - -2.0169. What is the nearest to -1 in l, -1, -2\/23, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1255336 (base 8) to base 3.\nAnswer: 122211101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 358 (b) -0.05 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (34\/119)\/((2\/42)\/1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -391, -905, -1631, -2569, -3719, -5081?\nAnswer: -6655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 1, 19, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(3*c**2 + c**2 - c**2 + (-3 + 3 - 1)*(0*c + 0*c + c**2) + (-22 + 22 - 11*c)*(2*c + 1 - 1)).\nAnswer: 40*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 + 7*g + 63. What is z(-6)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 476487 to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*c - 11552 = -321*c - 2953 + 7844 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 3308257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2623 and -0.86.\nAnswer: -2255.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29237988?\nAnswer: 2, 3, 13, 187423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57164*c**3*h**2 - 7499*c**3 - 4*c*h wrt h?\nAnswer: 114328*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2070 = -294*w - 528*w + 132*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 + 1056*t**2 - 333439*t\/3 + 110090.\nAnswer: (t - 101)*(t - 1)*(t + 3270)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 704155 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 4*q**2 - q - 2. Let b be c(-4). Let v = b - 0. Solve v*g - 8 + 0 = -5*u, 0 = -4*u + 5*g + 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -349046?\nAnswer: -349047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8352 + -1?\nAnswer: -8353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 2*m**6\/15 - 5*m**5\/4 + 13*m**4\/4 + 3*m**3\/2 - 27*m**2\/2 + 2*m + 36. Factor o(s).\nAnswer: (s - 3)**2*(s - 1)*(4*s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fifiifififffff. Give prob of picking 3 f and 1 i.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 69399 and 69938 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 8:04 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*i**2*p**2 - 620*i**2 - 215*i*p + p**2 + 607*p - 358 wrt p?\nAnswer: 6*i**2*p - 215*i + 2*p + 607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 4) in base 10?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725 is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**5 - 20970*r**4 - 3247015*r**3\/4 - 32110835*r**2\/4 - 15451845*r\/4 - 1906441\/4 = 0.\nAnswer: -19, -1\/4, 5281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -1841?\nAnswer: -1836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24150 and 116142?\nAnswer: 467471550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 79, -2 in descending order.\nAnswer: 79, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u. Let j(o) = -532*o**2 - 132. Let w(f) = -41*f**2 - 10. Let p(c) = -3*j(c) + 40*w(c). What is p(a(k))?\nAnswer: -396*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 656?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**5\/6 + 35*d**4\/24 + 10*d**3\/3 - d**2 + 10*d. Determine p, given that i(p) = 0.\nAnswer: -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 0.16 (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, l: 4, v: 1, e: 3, o: 2}. Give prob of sequence er.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjpn when four letters picked without replacement from fppnljx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q - 759*q**3 + 4 - 688*q**3 + 1446*q**3 - 9*q**2 - 3. Determine l(-8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.201 - -0.201000324. What is k rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 9 = 1. Suppose -3*q + 3 = -0. Let v = 2 + -2. Sort v, q, l in increasing order.\nAnswer: v, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 f when three letters picked without replacement from {f: 2, v: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - (-20 - -10 - 9)) + -3 + 49?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*sqrt(275)*-5 + (sqrt(11) - sqrt(11)*1) + -3 + -4 + sqrt(44).\nAnswer: -7 + 127*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eegoeewgoo. What is prob of picking 1 g, 1 o, and 2 e?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-583800)\/(-7)*(-300)\/(-9). Round p to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3404\/(-23184) - (-30)\/27) + -1.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*r = 173*r + 120 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*m**4\/5 + 2016*m**3\/5 + 872*m**2\/5 + 96*m\/5 = 0.\nAnswer: -12, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28148479 to the power of 1\/2, to the nearest integer?\nAnswer: 5306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*y + 9, 22*y - 27*y - 10 = 0. Sort w, 3, 268, 1 in increasing order.\nAnswer: w, 1, 3, 268","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-90)*114\/1045.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 7)\/((-2)\/4). Factor 18*w**2 + 8*w + 2 - 3*w + 9*w + k*w**3 - 2*w.\nAnswer: 2*(w + 1)**2*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1788.592502 rounded to the nearest 10?\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -35. Suppose 0 = -g + 22 - 67. Let d be k\/g + 103\/5. Solve -z + 6 - 2 = -3*v, -2*v = 3*z + d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.98 + 50.12. Let w = c + -50.1. Let y be ((-9)\/20)\/((-2)\/(-8)). Is y greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/32)\/((-4)\/(-19954)). Let s = 621 + p. Find the common denominator of s and (141\/(-54))\/1 - (-4 + (-10)\/(-4)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 9. Let f be g(0). Suppose -5*l - 2*j = -66, 2*j + 0*j + 54 = 5*l. What is the smallest common multiple of -4*1 + (f - -19) and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**4\/9 - 1603*x**3\/9 - 851*x**2\/3 - 317*x\/9 + 638\/9 = 0. What is x?\nAnswer: -319, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*-1 - (sqrt(117) - (sqrt(117) - 2*sqrt(117)))\/sqrt(9) - (sqrt(52)\/sqrt(4)*5 + sqrt(13) + 2 + 0 + sqrt(13)))**2.\nAnswer: 60*sqrt(13) + 2929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*a - 52. Suppose -7*t - 26 = -2*t + 4*d, 18 = t - 5*d. Let x = t + a. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 294153?\nAnswer: -1\/98051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - f**3 + (-8*f**2 - f**2 + 8*f**2)*(-2*f + 2 - 2).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 21*z + 1677. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*f + g + 4*g, -f + 3*g - 10 = 0. Solve -3 = -f*y + y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.6276 - -2.0276. Sort -3, 3, q, 1\/28.\nAnswer: -3, 1\/28, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -51 + -7a?\nAnswer: -cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*o = 10, 2*s + 46 = -3*o + 38 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 9:31 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -5*z + 4*p, 4*z - 4*p = z - 25. Suppose -2*m = m - 66. Let i = m + z. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d = 3*o - 38*d + 25, 2*o = 3*d - 8. Let z(c) = 4*c + 29. Determine z(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.7 + 24.3. Let n = 27.7 - d. Put n, 4, -1 in increasing order.\nAnswer: -1, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37835977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -2001665\nAnswer: -16013320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -266445.769 to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from appmasmoaanaspapppa. Give prob of picking 1 a and 1 o.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, 5, -32, 6, 2 in descending order.\nAnswer: 102, 6, 5, 2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 2*m - 3*m + 2*m - 4. Let c be 0\/(3\/(0 + -3)). Give v(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -96fd0?\nAnswer: 96fcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 7:18 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -8*j - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 51 = -12*s. Suppose -s*w - 6 = -7*w. Solve -w = -r + 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -899?\nAnswer: 8a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3079838.5829+5\nAnswer: -3079833.5829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -31*p - 34 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004054893084 to 7 decimal places.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqqq when four letters picked without replacement from qbqqbqqqqqbqbq?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 7:14 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2)*x)**(-27)\/(((x\/x**8)\/x)\/(x\/((x\/(x\/((x\/x**(-2\/3))\/x)))\/x))) assuming x is positive.\nAnswer: x**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - z + 10. What are the prime factors of i(8)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58664 divided by -432\nAnswer: -7333\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2 = -122. Let i be 4 - (2 - 1 - -1). Suppose 2*g + i*g = q. Solve -x + 2*x - g = 4*f, -5*f - 1 = 2*x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008427 to 7 decimal places.\nAnswer: -0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 7102735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*k*p**2*z**2 + 12*k*p*z**2 + 2*k + 2*p**2*z - 59*z**2 wrt p?\nAnswer: 6*k*p*z**2 + 12*k*z**2 + 4*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07, -5\/2, 1.8274?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-25\/3)\/v**32)**(2\/43) assuming v is positive.\nAnswer: v**(-242\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 401135 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 2*h**5\/5 + h**4\/2 - h**3\/3 - h**2 + 16*h. Let s(l) = 7*l**3 + 5*l**2 - 2*l - 2. Determine -5*f(z) + 6*s(z).\nAnswer: 2*z**3 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = i + 5. Let b = i - -7. Let x(y) = -4*y**3 + y**2 + 3*y. Let l(r) = -9*r**3 + r - 4*r**3 + 2*r**2 + 4*r**3 + 6*r. Give b*l(d) + 14*x(d).\nAnswer: -2*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**4 - 5*g**3 + 5*g**3 + 0*g**4 + 2*g**4 - g**4 + (0*g**4 + 2*g**4 + 0*g**4)*(-3 + 5 + 0) - 3 - g**4 + 3 + (5*g - 5*g - 6*g**3)*(3*g - g + 0*g).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28672 and 686.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 208539311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3\/2 (b) -1 (c) -0.3 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2 - 2)*(214*x**3 + 455*x**3 + x**2 + 258*x**3).\nAnswer: -1854*x**4 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 8*f**2 - 3*f + 2. Let d be q(-5). Let w = -139 + d. Is 30 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*(-1 - 0) - 93\/(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 1:43 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 618 + -128. List the prime factors of a.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(108) - (sqrt(108) + 2 - sqrt(108))) - sqrt(108)*1*-1)*-3)**2.\nAnswer: -9072*sqrt(3) + 48924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2\/w)**(-12\/17))**24*((w*w**6\/w)\/w**(-2))**(-8\/9) assuming w is positive.\nAnswer: w**(-3680\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -32.\nAnswer: -32, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1400 is divided by 140.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 - 11*f - 4. Let s(j) = 2*j**3 - 12*j - 5. Suppose 4*p - 5*p = 4. Determine p*s(a) + 5*v(a).\nAnswer: 2*a**3 - 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 + w**2 + 10*w + 37. Determine y(-3).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/4)\/(4\/8). Let i = 59 + a. Let y = i + -35. Calculate the remainder when 37 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2426 is divided by 68?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 556.536?\nAnswer: 556.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = 18*c - 6. Let p(m) = m + 12. Let x be p(-6). Solve -c*n - g = 4, 4*g + x - 4 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 4*u**2 - 23*u + 65. Determine j(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + x**2 + 13*x. Let v(n) = n**3 + n**2 + 13*n. Calculate -4*b(a) + 3*v(a).\nAnswer: -a**3 - a**2 - 13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1222 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 2:53 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37046 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 482?\nAnswer: 3\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-12 + 16 - (-1 - 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + -1)*3*2.\nAnswer: -6 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/4 in -4, 3\/4, 1.8, 3\/370?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 4. Let i be o(-5). Let u be (-1)\/(i - (1 + -1)). Suppose -d + u = -2. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6182 is divided by 111.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 3 - (1 - -2 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**6\/120 + 7*z**5\/60 - 7*z**4\/24 + 2*z**3\/3 - 13*z**2. Let l = 13 + -7. Give d(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 20*q**4 - 3701992*q**3 - 1480812*q**2 + 2221200*q = 0.\nAnswer: -1, 0, 3\/5, 185100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-752))\/(28\/56)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*v + 9 - 30, 0 = -5*v + 15. Solve -3\/5*n**z + 3\/5*n**4 + 3\/5*n - 3\/5*n**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19226*g*i**2 + 3*g*i + 1008*i wrt i?\nAnswer: 38452*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a = -28*a + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 446138 and 770.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 7:00 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(6\/(-50)*-10).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 65, 90, 135, 200, 285?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-23688)\/(-210)*(-16)\/4*5\/78. Is i equal to -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.772578 to 2 dps.\nAnswer: -5.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 1:03 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 9:14 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60 - 9) + -540 + 552.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 41. Let w be 30\/1 - (q - -1). Let m = w - 27. Solve -m*v + 9 = 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85432 (base 11) in base 7?\nAnswer: 1025253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*l - 2*l, 5*l + 17 = -2*o. Let z be ((-120)\/18)\/(o\/(-6)). Suppose 13061 = -2*h - 2*i - 7329, -2*i = -z. Round h to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -6*l - 4. Let i(a) = -a + 1. Let k be i(l). Suppose -4*t + 20 = 0, k*f + 0*t + 3*t = 17500015. 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: Let j(z) = z**2 - 2*z + 2. Let x be j(2). Let u be -2 + (x + -1 - -9). Let h be (-34)\/(-10) + 4\/(-10). Solve u = -h*o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112877.\nAnswer: 112877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.06 (b) -6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -49 (b) 48 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 12*m + 8. Let q(f) = f**2 - 12*f - 7. Let l(r) = -5*q(r) - 4*w(r). Let z be l(12). Suppose z*a = -2*a + 20. Solve a = -j + 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(7\/4)\/(b*b\/(b*b**(-22))) assuming b is positive.\nAnswer: b**(-85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 514915*j*w**3 - 109*j*w + 1618*j + 3*w**3 + 2*w - 2 wrt w?\nAnswer: 3089490*j*w + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x = -27*x - 42. Let f be 329\/49 + 1\/(x\/4). Solve f - 27 = -4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 - 27*p + 13. Let k be w(11). Let t = k - -1441. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 49*(-3 - (-90)\/21). Let f be t + 6\/(-12)*10. Is 3 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -220.528774 - -220.47. Let w = 2.121 - 2.18. Let y = l - w. Round y to five dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*n + 105*n - 6*n - 10936 - 7604 = 0 for n.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 9*r**2 - 4*r + 12. Suppose 16 = 2*a + 2*m + m, 24 = 3*a - 2*m. Let t be b(a). Suppose -t = -v - v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3151137, 6302277, 9453417, 12604557, 15755697, 18906837?\n\"Answer: 3151140*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -2 (c) 0.3 (d) -2\/11 (e) -3\/2 (f) 4393\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m - 35*m + 10*m - 2600 = -19*m for m.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10\/21 + -1\/7. Let k(o) = o - 18. Let x be k(17). Which is the closest to x? (a) -3 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/5)\/(-1))\/((-14)\/35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 1072?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 278709398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -167023133?\nAnswer: 167023133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**0*x)\/(x\/x**(-1\/6))*(x*x**(2\/3))\/x*x*x**(4\/5)*x assuming x is positive.\nAnswer: x**(43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**5\/11 - 2*a**4\/11 + 42*a**3\/11 + 2*a**2\/11 - 40*a\/11 = 0.\nAnswer: -5, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/1026 and -79\/912.\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = p + 8, 4*p - 17 = l + 3. Suppose 2*z - 341 = -p*v + 1327, 2*z = v - 427. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = f - 2. Suppose 3*d - 207 = -3*y, 2*y - 4*d - 114 = 42. Suppose -2*z - 6*z + y = 0. What is the greatest common divisor of z and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.7, 55\/6, 1\/5?\nAnswer: 55\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + sqrt(125) + (sqrt(125) + 0 - sqrt(125)) + sqrt(125) + sqrt(125))**2.\nAnswer: -30*sqrt(5) + 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/13 and (1\/(-4))\/((-1469)\/2373)*-2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 3*m - 1. Let d be (-1)\/((4 - 5)\/1). What is i(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0 + 17 = y, -3*d = -2*y - 2. Solve 5*h - y = 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 34 = 4. Suppose 7 = 2*i + f, q = 2*i - 4*f + 2*f. What is the greatest common factor of i and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1782 = -36*h + 414. What is the remainder when 476 is divided by h?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/2*3654\/1421?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 10*i + 2. Let y(f) = -2*f**2 + 21*f - 4. Let u(l) = 9*d(l) + 4*y(l). Let a = -1763 + 1765. Let k(j) = -5*j + 1. What is a*u(p) - 3*k(p)?\nAnswer: 2*p**2 + 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 11. Let m be (-3)\/12 + p\/(-12). Suppose m = 4*v + c - 17, v - 15 - 5 = 5*c. Solve 1 - v = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29758587 divided by -9\nAnswer: 9919529\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5691253?\nAnswer: 5691253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280 and 854?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20138 is divided by 560.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -9*z**3 + 9*z**2 + 49*z + 106. What is the remainder when r(-3) is divided by 282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x + 0*x)*(-3*x + 3*x + 2*x) - 2 - x**2 + 2 + 0 + x**2 + 0 - 2*x**2 + 3*x**2 - 3*x**2 + 2*x + 3*x**2 - 2*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3244353031 + -1?\nAnswer: -3244353032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 910994 and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3 = -6. Suppose 0 = 18*z + 419 - 1913. Let y = d + z. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*s + 1231 = 433 - 538 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -305.\nAnswer: 4\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-18)\/(-735)*-5)\/((-14)\/(-14)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2, -62, -2\/5, 8\/537, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4656)\/(-17) + (-64)\/(-544)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4325351 (base 6) to base 7.\nAnswer: -1550134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -48471045 - 0.55?\nAnswer: -48471045.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(343) + sqrt(343) + 3 + 3) + (sqrt(343) + (sqrt(343) + 1)**2*-3)*3)*-2.\nAnswer: 42*sqrt(7) + 6120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8840 is divided by 511?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6144 and 60708?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156911858 is divided by 5031.\nAnswer: 5030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 9*s**2 - 528*s - 720 = 0?\nAnswer: -4\/3, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9032568 divided by -2?\nAnswer: 4516284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 7*r - 6. Let l(n) = n**2 - 6*n - 6. Let h be 2\/(-1 - (-30)\/24). Suppose -10 = -d - u, -h = -4*u + 2*u. What is d*b(i) - 7*l(i)?\nAnswer: -i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/6 and 41\/320?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7672, -7440, -7208?\n\"Answer: 232*q - 7904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 0.4. Let r = 4 + -3.999983. Let i = r - n. What is i rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 27*g - 38*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*a = 58 - 32, -5*b = -5*a - 110. Let c = 11 + -8. Suppose c*x = -x + b. Calculate the highest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 56, -7262*n + 40 = 4*d - 7258*n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 279*y + 7413*y - 18 + 19 - 323*y in the form t*y + c and give t.\nAnswer: 7369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5633 - -5633.1. Which is smaller: -802 or g?\nAnswer: -802","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4730 + 4733. Solve 0 = -u*m - 3*p - 3, -m + 3*p + 15 = -0*p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20261987.\nAnswer: 43, 471209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*u + 13 + 8, 0 = -u - 3*f + 12. What is the third biggest value in u, -2\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -908 divided by -454\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-15)\/5)\/(308\/(-14))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44807916 divided by 12?\nAnswer: 3733993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -10*k**2 - 54. Let o(m) = -4*m. Determine o(f(c)).\nAnswer: 80*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 123?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -60*y**2 - 8*y + 4. Let c be h(3). Let r be (0 + -1)\/(20\/c). Solve a - 24 = -4*i, -8 = 5*a - r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/y**(-17)))\/y**(13\/3))\/(((y*y**(-10)\/y)\/y)\/((y\/(y\/(y\/(y\/(y**(6\/5)*y)))))\/y)))**(-3\/2) assuming y is positive.\nAnswer: y**(137\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39742 and 2165939.\nAnswer: 4331878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 34490.87ug?\nAnswer: 34.49087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17985 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.3 rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 902430704.\nAnswer: 2, 7, 131, 61507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3328 is divided by 1056?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12912332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express n**4 - 84194 + 7*n - 84193 + 10*n**2 + n**3 + 168379 - n**3 in the form o*n**4 + h + p*n**3 + r*n + s*n**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24903 is divided by 242.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*v - 18. Let o(w) = -337*w - 11. Let t be o(10). List the prime factors of t\/(-91) - v\/(-13).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (-5)\/130*74. Which is the closest to 0.1? (a) -0.4 (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/64 and 69\/140?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -8.5. Let g = l + -5.5. Which is the third biggest value? (a) 0.1 (b) 1\/6 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*43\/(301\/98)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2393 rounded to 2 decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -1, -30991 in increasing order.\nAnswer: -30991, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -0.1. Let h = 0.03 + 0.02. Let x = h + -2.05. Which is bigger: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-11)\/((-3696)\/64316) + 2\/(-12))*20 and 3825?\nAnswer: 3825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8081890987 to the power of 1\/5, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17099920.\nAnswer: 2, 5, 37, 53, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -708091, -708089, -708087?\n\"Answer: 2*q - 708093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**2 - 9*i - 18. Suppose -n = -3*w + 20, 5*n + 4*w - 34 = -20. Give k(n).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -14. Suppose -2*v + 7 = c*o + v, 4*v = 5*o - 1. Solve -2*j - o = -5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 + -36. Let u(b) = -2 - n*b + 28*b - 19*b. Let p(z) = 9*z + 5 - 2*z + 4*z. What is -3*p(c) - 7*u(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 145.0695 micrograms?\nAnswer: 0.0001450695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14402*q*t*y + 50*q*y**3 - 158847*t*y**2 - t*y + 6*y**3 wrt q.\nAnswer: -14402*t*y + 50*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 4:59 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230 and 2599.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 397*r**3 - 98*r**3 + 2*r.\nAnswer: 299*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -9, 1.\nAnswer: -9, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 485 - -80?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-357 + 97 - 454)*(-4*x**3 + 4*x**3 + x**3).\nAnswer: -714*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 42*a**2 + 39*a + 156. Calculate n(43).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 545416, 545419, 545422?\nAnswer: 545425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 309 and 2?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 494 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - -38. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 144713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 827 - 329. Let u = -495 + a. Solve -u*z = -z - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55 + 46.2. Let v = -7 - z. Let c = 1.7999946 - v. Round c to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 4*q**2 + 33*q + 504. What is the lowest common multiple of w(-11) and 171?\nAnswer: 8892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + g + 19. Suppose 103 + 27 - 18 = -16*p. Give c(p).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 11146120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2644 (base 7) to base 4.\nAnswer: -33310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 + 9*b + 22)*(5*b**3 + 11*b - 58067 + 58067) to the form m + l*b**2 + v*b**4 + q*b**3 + p*b and give l.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from {q: 1, s: 1, e: 6, z: 3, o: 3, w: 3}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 634965, 1269916, 1904867?\nAnswer: 2539818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**6\/30 + f**3\/3 + 36*f**2. Let v(z) = 9*z**3 - 5. Determine -10*g(k) - 4*v(k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39397*y + 39512*y - 2875 = 0 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22524442 (base 6) in base 13?\nAnswer: 1b4868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 4:03 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -0*n + 4*n - 3*p, -78 = 3*n - 5*p. Let f = 23 + n. Let s be 308\/(-33) + 2\/(-3). Which is smaller: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + u - 9 = -8*q, 2*q + 399*u + 3 = 404*u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -59.03 + 2\nAnswer: -57.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 561636 and 7092.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3))**9*(n\/(n**(-1\/3)*n))\/(n\/(n\/(n*n**(1\/7)\/n)*n))*(n\/(((n*(n\/(n*(n*n**1\/n*n)\/n*n))\/n*n)\/n)\/n))**42\/(n**2)**26 assuming n is positive.\nAnswer: n**(2335\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -180*i**2 - 2189*i - 10885. Determine u(-5).\nAnswer: -4440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -2 - 12 - (-12557 + 12487)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjk when three letters picked without replacement from kjjjjjjk?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(1 + 18\/(-10)). Let v(j) = 2*j**2 + 9*j - 34. Let u be v(-7). Suppose 39 + u = 10*t. Which is greater: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 11 = -o + 13, 394*o = 400*o + 41*d + 92 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.3 and 3449482.\nAnswer: 3449480.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*a**4 + (-a - 2*a + a)*(5*a - 4*a + a)*(3 - 3 + 2*a**2).\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000091 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 1. Let a(m) = 3*m**2 - 4*m + 3. What is -2*a(j) + 6*h(j)?\nAnswer: -6*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3485337725.\nAnswer: 5, 139413509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -29*f**2 + 3 + 28*f**2 + 2*f - 3. Suppose -l + 3*c = -7, -5*l - 5 = -c - 26. Determine x(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x = 315. Suppose 4*s + 8 = -l, 7*l = 3*l + 3*s + x. What is the highest common divisor of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/533, 0.5, -17\/4, -0.4.\nAnswer: -17\/4, -4, -0.4, 2\/533, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 3*f + 1. Let v be (1 + -2)\/(3\/f). Sort -1, 4, v in increasing order.\nAnswer: -1, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r = 397412 - 398063 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3 - 4\/(-3). Let n be (-1)\/(2\/(-16)*f). Solve 0 = -2*a - 3*a - s - n, -4*s - 16 = 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 278 + -291 + (9 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53224 is divided by 114?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m**3 + 3*m**3 - 4*m**3 + (1 + m - 1)*(-m**2 - 3 + 3))*(-3*m - m + 3*m) to p*m + a*m**4 + c*m**3 + k*m**2 + f and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -16. Let j = 2 - b. Let v = -11 + j. What is the nearest to 0.08 in -3\/7, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 18000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99760 by 5.\nAnswer: 19952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 911503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 5*g + 15. Determine f(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = d + d - 3*d - 12, 76*n - 11675 = 296*n + 5*d for n.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 - -11?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1239 and 25788.\nAnswer: 1521492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3114 (base 7) to base 13.\nAnswer: 65a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3930928, -7861874, -11792822, -15723772, -19654724, -23585678, -27516634?\nAnswer: -31447592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 1923438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 88317962 rounded to the nearest one million?\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-45))\/(10\/(-27))*235\/21150*30?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1380 and 300.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. Let u(g) = -4*g**2 + 5*g + 2*g**3 - 2*g + 4*g**2 - 4*g**2 - 2. List the prime factors of u(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*j + 8543 - 6509 = -748*j - 14388 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - -0.9. Suppose 0 = -n - z + 6, -n - 5*z + 11 = 1. What is the biggest value in m, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c**3 - 5*c**2 - 4*c - 2. Let q(n) = -n**2 - n - 1. Calculate 4*q(x) - u(x).\nAnswer: 7*x**3 + x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 6*s**2 + 121*s + 11. What is a(14)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 142799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 14*j + 10. Let o(u) = -2. Let x(b) = b - 1. Let m(l) = o(l) - x(l). Suppose 3*q + 7 - 16 = 0. Let c be -24*(0 - q)\/6. Calculate c*m(v) + f(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42.9 + -45. Let o = g + 2. Let r = 2 + 1. Which is the nearest to 0.1? (a) 0.5 (b) o (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54.87 - 54.84. Which is the third biggest value? (a) s (b) -5 (c) -3 (d) 95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r - 27. Suppose -2*w = 3*p - 23, -p + 22 = -4*w + 5. What is the smallest common multiple of p and (8\/6)\/2*r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)*m)\/m*m\/(m**(1\/3)\/m))**(1\/28)\/(m**(-5\/3)*m**(-1\/7)\/m*m*m**(5\/3)*m**6) assuming m is positive.\nAnswer: m**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 607863797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000422 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50\/9 - -227\/36. Let y = -4 + 7. Which is the nearest to -0.1? (a) l (b) 3\/8 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*v**2 + 7*v**3 - 675 + 675 + 7*v**2 - 26*v + 32*v**2 to s + l*v + u*v**2 + w*v**3 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 4*u - 10 + 2*u + 5 + 5*u. Let l = 8 - 5. Let z(p) = -1 + 2 - 5 + l*p. Determine 5*g(d) - 6*z(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 557, 5020, 17139, 40742, 79657, 137712?\nAnswer: 218735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 12:49 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 4*s - 14. Let j be g(-6). Let k = j - -31. Suppose -z = -2*z. Solve 5*m + 0*n - k*n - 20 = z, 5*n = -4*m + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 324 = -34*i. Suppose i*s - 16 = -2*s. Calculate the greatest common factor of s and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1491 is divided by 744.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/7 (b) -0.802 (c) -4 (d) -5\/4 (e) 2\/3 (f) 0.134\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -2 + (-156)\/(-81). Is o equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 1.1. Let p = 2729\/36 - 1369\/18. What is the nearest to -4 in y, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -6*r**2 + 41*r + 10. Let q(o) = 2*o**2 - 14*o - 3. Let i(j) = 8*q(j) + 3*y(j). Let c be i(6). Which is smaller: -1\/138 or c?\nAnswer: -1\/138","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (-13 + 10\/(-5)). Does 7 divide (70\/(-3))\/((-16)\/t - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-236)\/(-96) - (-75)\/(-600)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/20)\/(-1)*93\/(-1240)*(-60)\/(-72)?\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -157936, -315929, -473922, -631915?\n\"Answer: -157993*i + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 7579766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 17. Which is the closest to -1? (a) q (b) -2\/5 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32)\/(-2*3\/24). Suppose -66 = 8*g - 90. Suppose g*o - 7 = y. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3\/x**5)\/(x**0)**(-2\/5))**24 assuming x is positive.\nAnswer: x**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7829835 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7792 smaller than 7791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-42)\/(-28)*(-8)\/42. Suppose -21 = 3*i + 15. Let h be (-14)\/i + (-1)\/(-3). Which is the nearest to y? (a) -1\/3 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/154 and ((-7)\/924)\/(-4 + 1630\/405).\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -0.108104\nAnswer: 1.08104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 0. Let c = -5 + y. Let s(b) = -b**2 + 5*b. Let u be s(5). Solve p + 3*k = -10, -p - 6 = -u*p + c*k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 98 or 0.16?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**2 + 280374660*j - 6550829164176300 = 0. What is j?\nAnswer: 46729110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 53*r**2 - 51*r + 176. Let m be d(52). What is the greatest common factor of m and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -2\/3*d**3 - 5\/2*d**2 + 1\/4*d**4 - 6 + 4*d. Determine v(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5509 and 5663252.\nAnswer: 5663252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68.24 - -712.84. Round k to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3))**(-42) assuming h is positive.\nAnswer: h**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 - h**4 + 0*h**4 + (0*h**2 + 0*h**2 + 2*h**3)*(-4*h + h + 2*h) + 3*h - 3*h - h**4 - 4074*h**2 - 810*h**4 + 4074*h**2.\nAnswer: -812*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 330 divided by -1066061.\nAnswer: -330\/1066061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2654180828 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-476)\/1190*(-13 + 5).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 53 + 13 = 9*p, 2*p - 3*i = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 6*u**2 - 2*u - 3. What is the units digit of y(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 60*z**2 + 59*z + 122. Let l be v(61). Are 327 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from qthqztvqttqqqzqq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-25)*h)**(-25) assuming h is positive.\nAnswer: h**550","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1143?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161730 divided by 2.\nAnswer: 80865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 1450b45c?\nAnswer: -1450b458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-3))\/(1*1\/3). Suppose s*g - 3*p - p = 24, 0 = -2*p - 4. Suppose 5*o = -4*u + 10, -g*u = -4*u. Solve 7*d - 4*d - o = -4*v, v - 9 = -5*d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 0*u = -7*c - 1, -32*c + 4*u + 24 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (-7 - (-3 + 2 - 11)) - -11.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -25 + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1919022756 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 962, 4, 2 in increasing order.\nAnswer: 2, 4, 962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -89, 10, 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mxxmtxxxxxlxxx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -158\/7. What is the nearest to -1 in 0.1, 1\/3, -17, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 68.7, -2, 4, 2, -4?\nAnswer: 68.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.15 and 6.8?\nAnswer: 6.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11454 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5223314 - 635?\nAnswer: 5222346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 = 17. Let j be v\/14 - (-2 - -1). Determine n so that 2\/13*n**3 + j - 4\/13*n + 2\/13*n**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 206323070 + -4\nAnswer: 206323066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*b - 13 = -8*n, 2*n = -5*b - 10. Suppose -1 = 3*k + n. Sort k, 5, -5 in increasing order.\nAnswer: -5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4f5314 (base 16) in base 11?\nAnswer: 2a30881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 3*i - 97. Give c(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(3*q - 3*q - 3*q) - 3*q - 2*q + 3*q - 4*q + 3*q - 2*q - 2*q - 9*q + 2*q.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 - 8*b**2 - 8*b + 7. Let c(j) = j**3 + j**2 - 1. Let x(u) = 3*c(u) + o(u). Let m be x(6). Let r(i) = -11*i - 9. Is r(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05992815 > 0.087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*q - 252*q + 1400 - 300 = 0 for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j + 284 - 284 - 6*j**2.\nAnswer: -6*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7121.\nAnswer: 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*l + 13*l - 3150 = -9*l for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1775 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 501764 to the power of 1\/2, to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5 = -z, 0*z + 2*z + 10 = 3*c. Let t(q) = -5*q**2 - 7*q - 45. Let g(v) = -3*v**2 - 4*v - 22. Let h(p) = 7*g(p) - 4*t(p). Is 13 a factor of h(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.011 + 0.0947. Round s to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(48) + 1)**2 + (sqrt(18)\/sqrt(3))\/sqrt(2) + 1.\nAnswer: 9*sqrt(3) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000020173629 rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -110*c - 1429. Let f be z(-13). Let w(r) = -2*r - 5. Let d be 5*1*(-3)\/3. Let s be w(d). Solve -2*j + f = -s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/(-490)*(-10)\/(-2)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -1\/4*y**4 + 5*y**2 - 5\/6*y**3 + 0 + 0*y - 1\/60*y**5. Let g be v(-5). Solve g*b = 2*b + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 99*b**3 - 1 + 92*b**3 - 167*b**3 as g*b + j*b**3 + y + c*b**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -27. Let j(t) = -5*t + t + 4*t - 2*t**y. Let h(r) = 2*r. Calculate j(h(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -251, -489, -727, -965, -1203, -1441?\nAnswer: -1679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1))**(-2\/53)*(k*k**(2\/5)\/k*k*k*k)\/k**4)\/(k**1\/(k\/k**4)*k**(-6\/5)*k**(-1\/10)) assuming k is positive.\nAnswer: k**(-33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77668 - -121268. Suppose 5*c - b - 54503 = 0, 2*b = -0*c + 4*c - n. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f. Let g(r) be the third derivative of 5*r**4\/24 - 25*r**2 + 3. Let o be 2 - (1 - 2 - -2). What is o*g(a) + 4*s(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 55 = 3*m. Suppose -m*g + 128 = -12. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*m + m. Suppose 4*d + 14 = -b, -m = 2*b + 5*d + 12. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 j, and 1 k when four letters picked without replacement from {k: 2, j: 1, w: 6, x: 2, t: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19162 divided by -1.\nAnswer: 19162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*a + 4*b, 9 - 1 = 2*a - b. Suppose -a*v - 2*v = -16. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40346\/50 - (9 + (-3859)\/425)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 129*q - 246. Suppose 24 = 3*a + 4*d, 36 = 5*a + 5*d + 1. Let s be y(a). Calculate the greatest common factor of s and 630.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 79*j**4 + 5*j**2 - 3*j + 21. Let t(s) = -39*s**4 - 2*s**2 + s - 11. Let c(i) = 2*a(i) + 5*t(i). Find the second derivative of c(n) wrt n.\nAnswer: -444*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -474 + 1.4\nAnswer: -472.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llz. What is prob of sequence lz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x**2 + 3*x**3 + 23*x**2 + 0*x**2 - 4 to the form j*x**2 + m*x**3 + i*x + w and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 492 and 636?\nAnswer: 26076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (17 + 2 - 0) + -2. Let c = 8 + 9. What is the greatest common divisor of o and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 44 = -4*t + 157, -4*u = 3*t - 174. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a**(22\/7)*a)*a**(-3\/20))\/((a*a\/(a**(3\/16)\/a)*a)\/(a\/a**(-31))))**(-48) assuming a is positive.\nAnswer: a**(-43503\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1863, -14946, -50469, -119652, -233715?\nAnswer: -403878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*50\/150*1*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-6))\/(-5)*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1636635778205\/3396 + -481930447. Let r = f - 1\/1132. Find the common denominator of r and 13\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 13\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41, 116, 305, 662, 1241, 2096, 3281?\n\"Answer: 9*l**3 + 3*l**2 + 3*l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.366 + 0.034. Round j to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 6*p = -114. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -277*b + 71. What are the prime factors of g(-25)?\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 1. Suppose 2*y - 17 = 4*j - y, -y - 6 = j. Let k(z) = -1. Let h(r) = j*k(r) + f(r). Let i be (6\/(-4))\/(2\/(-4)). What is h(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 1292*x - 138096 = 1291*x, 4*x - 69034 = -q. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 + 4*o**3 - o**3)*(1 - 1 - 2) + (o**2 + 0*o**2 + 5*o**2)*(627*o - 267*o - 250*o).\nAnswer: 662*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -155476 and -1?\nAnswer: 155476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 132651*i**6\/160 - 7803*i**5\/40 + 153*i**4\/8 - i**3 - 530*i**2. Suppose f(b) = 0. What is b?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 9 - 4 - 5 - 4*y. Let g(q) = 6*q - 11*q + q**2 + 22 + 17*q. Let r be g(-10). Calculate h(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 13*w**6\/120 + w**5\/30 - w**4\/24 + 7*w**2. Suppose 14*b + 5 = 19*b. Let y be s(b). Is -2 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 56*n**3 - 2*n**2 + 3*n - 2. Let m be f(1). Calculate the common denominator of -62\/3 and 25\/m + (-1 - -1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -4*(-3)\/6. Suppose -n*l = -26 - 34. Calculate the greatest common divisor of 96 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94209*f + 94204*f = -12670. Calculate the smallest common multiple of f and 1448.\nAnswer: 10136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 720 + -717. Suppose h*r = 7*r + 5*y - 89, r - 4*y - 38 = 0. Solve 3*a = -14 + r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24362585, -48725160, -73087733, -97450304, -121812873?\nAnswer: -146175440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -2)\/((2 - 0) + -3). Suppose 5*j = -p + 126. Suppose 3*l + j = v, 2*l + 40 = 3*v - 21. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, -4, 0, 93, 2.5, -2 in descending order.\nAnswer: 93, 2.5, 1\/9, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4438, 4423, 4404, 4387, 4378, 4383, 4408, 4459?\nAnswer: 4542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*a - 13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**6\/120 - a**5\/60 + a**4\/8 - a**3\/2 + 2*a**2. What is the units digit of g(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**4 - 4*j + 37 - 35 - 3*j**2 - j in the form r*j**3 + t*j + h*j**2 + c + x*j**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 1. Let c(w) = -7*w + 2. Let j(o) = 6*o - 2. Let t(f) = -5*c(f) - 6*j(f). Determine -2*k(v) - t(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 4*x, 3*y = 7*y + x - 12. Solve s = -4*s + 5, -2*l + y*s = 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -13*l - 172. Calculate h(-12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) 2 (c) -242 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n + 0*n**2 - 308*n - n**2 - 7*n**2.\nAnswer: -8*n**2 - 291*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 468395 and -559347.\nAnswer: -90952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-372)\/(-36) + -3 + -7.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34.77 - -63042664.\nAnswer: 63042629.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2108 + 4012. Suppose 9*j - 5*j - q = 0. Is 31 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 2. Let d be l(-3). Let h be (1 - 0)*(d - -9). Is 10 a factor of (-12)\/1*(-25)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54982.\nAnswer: 2, 37, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13945 and 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-28)*z**(-30))**5 assuming z is positive.\nAnswer: z**(-290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 12*r + 22 = 0. What is the smallest common multiple of 24 and r?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4000)\/30 + (-6)\/9. Let a = s + 139. Solve -3*u = -t + 4 + 10, a*t - 4*u - 15 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 7370376 = 3*q, 17*p - q = 19*p + 3685208. Round p to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/31)*d**(-4\/5))\/(d**9*d**(-22)) assuming d is positive.\nAnswer: d**(1896\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.0434.\nAnswer: -0.00434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h + 154. What are the prime factors of z(-26)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7315\/24 + 914\/3. Let z = -5.1 - -1.1. Sort g, z, -3 in decreasing order.\nAnswer: g, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 327 and 239.\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 8*k**4 + 38126638*k**3 - 47658308*k**2 + 9531662*k = 0.\nAnswer: -4765831, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/13178641 and 5\/2219?\nAnswer: 13178641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 5:14 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 39 + 222. Let p = -41 - y. Suppose -6*b = -4*b - p. Solve i - 5*z = -0*z + b, -i + 7 = -z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -15586787.49\nAnswer: -15586795.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14062*l**5 + 461*l**2 - 1 wrt l.\nAnswer: 843720*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -2*u - 3*u. Suppose -u*x + 2*x = -48. Let r(p) be the second derivative of -p**4\/12 - p**2\/2 - p. What is r(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -91*a - 401. What is the units digit of l(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11592?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-21))\/((-12)\/(-14)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -7, -20, 1\/3?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-5) + (690\/(-50) - (-1 + -12)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 3\/2*g**5 + 0 - g + 5*g**2 - 65\/6*g**3 + 25\/12*g**4. What is q in m(q) = 0?\nAnswer: -2, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -144, -217, -290, -363, -436?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561 is divided by 94?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mln when three letters picked without replacement from {a: 3, n: 3, s: 1, m: 2, l: 1, u: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-1)\/(165\/30))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*k**3 + 4 - 4)*(40 + 38 - 25).\nAnswer: -1113*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/2*-1*-8. Let i(a) = -14*a**2 + 14*a - 8. Let m(v) = 5*v**2 + 0 + 27*v + 3 - 32*v. Calculate s*m(j) - 3*i(j).\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2129638110.9 rounded to the nearest 1000000?\nAnswer: 2130000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 12*j - 5)*(-239*j + 270*j + j**3 + j**3) to the form b*j**3 + t + s*j**2 + o*j + v*j**4 and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 5:07 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - x + 11 + 138, -2*x - 62 = 2*i. Calculate the remainder when (-8)\/i - ((-6695)\/9)\/5 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -6*d + 4*k + 12, k = 0. Let q be (-6)\/(-120) + d\/20. What is the third biggest value in -4, q, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((8 - 100\/16) + -1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2010, 2023, 2030, 2031, 2026, 2015?\nAnswer: 1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2240*z = -2236*z + i - 4282, 0 = -5*z + 5*i + 5340. What is the remainder when z is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 936 + 3 + (0 - (12 - 14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -22*b + 23. Let f be m(1). Let i be (-26)\/10 - (-2)\/(-5). Sort f, i, -2 in descending order.\nAnswer: f, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 226 - -97?\nAnswer: 2bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2 = 0, i + 6*x = 5*x + 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -204283 times 1?\nAnswer: -204283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (13 - 20)) + -1 + (-7 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m**2 + 629*m - 356. What is the remainder when 4345 is divided by q(78)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 435*x**2 + 471 wrt x.\nAnswer: 870*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**3\/9 + g**2\/2 - 2*g\/3 - 4. Factor s(l).\nAnswer: -(l - 2)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 65\/(-25)) + 8\/20. Calculate the highest common divisor of d and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 2b1b8737?\nAnswer: -2b1b873b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80310 divided by -155.\nAnswer: -16062\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17856 + 10757 = -591*p - 13939 for p.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49.38 + 44.2. Let k = l - -5. Let q = k - -0.08. Is 7 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*z - z + 20, 12 = -3*l. Suppose d + 21 = 5*p, -1 = -2*p - 4*d + 3. What is the third derivative of -q**5 + q**2 + z - p wrt q?\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a microsecond in nanoseconds?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnunnnnun?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 0 + 9*d**3 - 4*d**3 + 1 - 2*d**2. Let r be p(1). Let o(t) = t**2 + 15*t + 14. Let q be o(-14). Solve -z - r*l + 6 = 0, -2*z + l - 2 - 4 = q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/4))\/(v*v*v\/(v**(-23\/5)*v*v*v*v*v))*(v\/(v**11\/v*v))**(29\/3))**(-24\/5) assuming v is positive.\nAnswer: v**(11762\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3624, -15113, -34260, -61065?\nAnswer: -95528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s. Let f(w) = -1575*w**2 - 64. Calculate f(n(g)).\nAnswer: -77175*g**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 9\/63) + 10\/21?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2896086 by 965362.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 8*v + 46 = -66, 16*j + 5*v = 601 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 4*q - 4, q - 18 = -4*r - 2*q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 3296\nAnswer: 5\/3296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 388 - 406.1. Let q = v + 18.3. Let u(m) = -2*m. Let l be u(2). Which is the third smallest value? (a) q (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 118, 197, 326, 505?\n\"Answer: 25*j**2 + 4*j + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 22*o**3 - 16*o**2 + 5*o - 358. Let p(j) = -8*j**3 + 6*j**2 - 2*j + 119. What is -3*f(a) - 8*p(a)?\nAnswer: -2*a**3 + a + 122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -107 - 7*q - 4*q - 2*q**2 + q - 154 + 9*q as n + b*q + u*q**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 816704326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -5. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-196 - -131) + 2 + 76?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2630 - -5?\nAnswer: 2635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m - 13 = -17*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 136*c - 4168. What is j(31)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**4 + 829*u**3 + 9*u**2 + 7013*u.\nAnswer: -12*u**2 + 4974*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -56. Let j = 13 - y. Let b = -4 - j. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 11*u - 1. What is i(6)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -369 - -371. Suppose 0 = 3*v + r*k - 968, 0 = -2*k + 8. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 22 = -4*b, 5*x - 9*x + 5 = -5*b. What is the closest to 0 in x, -0.25, 3, -2?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 1030788*a - 132815487618.\nAnswer: -2*(a - 257697)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/32 and 45\/676.\nAnswer: 5408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3162*p**2 + 228*p**2 + 772*p**2 - 3*p**3 + 2*p**3.\nAnswer: -p**3 + 4162*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1380 - 148?\nAnswer: -1518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 144230*q**3 - 161133 wrt q?\nAnswer: 432690*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 + 40*p**3 + 24*p**3.\nAnswer: 66*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021969 to six dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6097 - 6096. What is the third biggest value in -5, z, 120?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 166229*o**4 + 15*o - 646.\nAnswer: 1994748*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39964364 < 39964364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17b5 - 281?\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) 34 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265a16 (base 11) to base 7.\nAnswer: 3360110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.09212188 rounded to one decimal place?\nAnswer: 33.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1058.5 times 1152?\nAnswer: -1219392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1377547.9267 to the nearest 10000.\nAnswer: -1380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/350*-203 - 6. Suppose 0 = -0*n - 2*n - 6. What is the fourth smallest value in 3\/5, n, -2\/11, j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*v - 31 + 1, -4*l - v = -7. Solve -3*k + 17 = 5*s, -s + 7 = -0*k - l*k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 64 = -2*s, 35*s + 156 - 306 = 4*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 19 - 22 = 4*d, 0 = -4*c - 4. Let j be (-7 - 309\/(-45))*(-1 + d). Solve -4\/5*h + 8\/5*h**3 - 4\/5*h**4 + j*h**2 - 4\/5*h**5 - 4\/5 = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 + 103. Let b = -9 - -18. What is the greatest common factor of b and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eht when three letters picked without replacement from {i: 2, t: 3, e: 4, h: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109781\/8 - 329263\/24. Determine y so that a + 28\/9*y - 2\/9*y**2 = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2790 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 367 and 898049?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**2 - 4*m. Let b(o) = -14*o**2 + 24*o**2 - 6*o + 1 - 14*o**2. Let p(y) = 4*b(y) - 3*f(y). Determine h so that p(h) = 0.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 34 = -103. Suppose -m - 3 = 0, -4*m = -4*b - 5 - f. Let w = 44 + b. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*k - 195*k = 101*k + 1398 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 83 + 14 = 33*s, -4*s + 17 = -5*r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 + -19. Let w = -98 - l. Suppose w*o - 293 = 2*o + 3*q, 3*q + 1441 = 5*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 3*b + 11 = 3*i, -3*b + 5*i - 13 = 0. List the prime factors of -2 + (-132)\/(-9)*(5 - b).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 167*g**3 - 3*g**2 - 12*g + 20. Let v be a(2). What is the greatest common divisor of 180 and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}